Finite Group Databasebeta

← Group #13155859

Character table — Group #13155859

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222244444444444444444488888888888888121212121212121212121212181818181818242424242424242424242424242424242424242424363636363636363636363636363636216
order122233344666666666333666666666121212121212366612121212121212121212444412121212121212122266664121212121212121212121212121212121212121248888121224242424242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-11111-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-11111-111-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ511111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-1-1-111111111-1-1-111-1-1-1-1-1-11111-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1
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χ11222222-1222222-1-122-12-1-122-1-1-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1022220000-1-1-1-1-1-1-1-1000020000-1-1000000000
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χ13222222-1222222-1-122-12-1-122-1-1-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-211110-2-22200001111-1-1-1-10000-2000011000000000
χ14222222-1222222-1-122-12-1-122-1-1-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-10-2-2-2-2000011111111000020000-1-1000000000
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χ17222222-1-2-22222-1-122-12-1-122-1-1-1-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000i3i3−i3−i3−i3−i3i3i3-2-21111000000000i3i3−i3−i3−i3−i3i3i3000020000-1-1000000000
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χ1922222-122222-1-1222-12-12-1-1-122-1-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-1002200002222000000200-1-122-1-10000-1-1-1-1-1-1-1-100022000000-1-1-1-10
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χ2922-2-2222002-22-22-2-2-2-22222-22-22-2-2-2-200000022-2-20000000000000000000000-22-2-22200000000000000000000002−2−220022−2−2−2−2220
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χ9888-8-8-4-4-400-44-44-444442222-22-22-2-2-2-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-48-8444444-4-4-4222-2-2-2-2-2-2222-44-444-4-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-4-88444444-4-4-4222-2-2-2-2-2-22224-44-4-44-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000
χ1018-8-888-4-400-884-44-4-844-4-424-44-4-2244-20000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4004-4-884-44-84-42-44-4-224-44-240000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48004-44-4-8844-82-4-4-224-44-4-2440000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4004-44-44-4444222-22-22-22-2-2-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4004-44-44-4444222-22-22-22-2-2-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).