List of Small Groups

List Of Small Groups

The following list in mathematics contains the finite groups of small order up to group isomorphism.

The list can be used to determine which known group a given finite group G is isomorphic to: first determine the order of G, then look up the candidates for that order in the list below. If you know whether G is abelian or not, some candidates can be eliminated right away. To distinguish between the remaining candidates, look at the orders of your group's elements, and match it with the orders of the candidate group's elements.

Read more about List Of Small Groups:  Glossary, List of Small Abelian Groups, List of Small Non-abelian Groups, Small Groups Library

Famous quotes containing the words list of, list, small and/or groups:

    Love’s boat has been shattered against the life of everyday. You and I are quits, and it’s useless to draw up a list of mutual hurts, sorrows, and pains.
    Vladimir Mayakovsky (1893–1930)

    Shea—they call him Scholar Jack—
    Went down the list of the dead.
    Officers, seamen, gunners, marines,
    The crews of the gig and yawl,
    The bearded man and the lad in his teens,
    Carpenters, coal-passers—all.
    Joseph I. C. Clarke (1846–1925)

    Rome, like Washington, is small enough, quiet enough, for strong personal intimacies; Rome, like Washington, has its democratic court and its entourage of diplomatic circle; Rome, like Washington, gives you plenty of time and plenty of sunlight. In New York we have annihilated both.
    M. E. W. Sherwood (1826–1903)

    Some of the greatest and most lasting effects of genuine oratory have gone forth from secluded lecture desks into the hearts of quiet groups of students.
    Woodrow Wilson (1856–1924)