Finite Group Databasebeta

← Group #13156462

Character table — Group #13156462

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444666666888888888888121212121212121212121212121212121212121212242424242424242424242424242424363636363636363636363636727272108108
order122233344666666666333666666666121212121212121212122266663666121212121212121244466666612121212121212121212121241212121212121212121212121212448812121212242424244121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-200222222-2-2-2-20000-2-2-2-200000000000000000000000000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2200-2-2-2-2-2-222220000222200000000000000000000000000000000
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χ1922222-12222-122-1222-1-12-1-12-1-1-12-1-122-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-10002200-1-1-1-100002200-1-1-1-1000000000
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χ874-44-4-2-24-4422-4-2-2-42421-2-2-12221-2-2-12-22-2-4422-2-220000001-1-11-112-2-1-111000000000000023−23−232300000000000−333−3000000000000000000000
χ884-44-4-2-24-4422-4-2-2-42421-2-2-12221-2-2-12-22-2-4422-2-220000001-1-11-112-2-1-1110000000000000−232323−23000000000003−3−33000000000000000000000
χ894-4-4444400-4-4-4-4-444-44444-4-4-44-4-4-44400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000
χ904-4-4444-200-4-42-4-4-24244-2-2-422-2-4224-20000000000000000-22-22000000000000000000023−23000023−23−232300000000000000000000000000000000
χ914-4-4444-200-4-42-4-4-24244-2-2-422-2-4224-20000000000000000-22-220000000000000000000−23230000−232323−2300000000000000000000000000000000
χ924-4-444-2400-42-4-4244-4-2-24-22-42-22-42-24000000000000−2i32i32i3−2i3-22-220000000000000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ934-4-444-2400-42-4-4244-4-2-24-22-42-22-42-240000000000002i3−2i3−2i32i3-22-2200000000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ944-4-444-2-200-422-42-242-2-2-2122-1122-1-2-2000003i−3i−3i3i000−2i32i32i3−2i31-11-100003i−3i−3i3i00000i3−i3−i3i300−232300003−3−3300000000000000000000000000000000
χ954-4-444-2-200-422-42-242-2-2-2122-1122-1-2-2000003i−3i−3i3i0002i3−2i3−2i32i31-11-100003i−3i−3i3i00000−i3i3i3−i30023−230000−333−300000000000000000000000000000000
χ964-4-444-2-200-422-42-242-2-2-2122-1122-1-2-200000−3i3i3i−3i000−2i32i32i3−2i31-11-10000−3i3i3i−3i00000i3−i3−i3i30023−230000−333−300000000000000000000000000000000
χ974-4-444-2-200-422-42-242-2-2-2122-1122-1-2-200000−3i3i3i−3i0002i3−2i3−2i32i31-11-10000−3i3i3i−3i00000−i3i3i3−i300−232300003−3−3300000000000000000000000000000000
χ984-4-44-244002-4-42-44-2-44-2-2422-4422-4-2-20000000000000000-22-220000000000000000000000000000000000000000000000000000i6−i6−i6i600000
χ994-4-44-244002-4-42-44-2-44-2-2422-4422-4-2-20000000000000000-22-220000000000000000000000000000000000000000000000000000−i6i6i6−i600000
χ1008888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-42222-4000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000
χ1018888-4-4-4-8-8-4-4-4-4-4-4-4-4-422222222222244444-2-2-2-24000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000
χ10288-8-8-48-400-48-44-8444-8-42-4-42-444-244-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4800-4-4844-84-842-4-42-4-44-244-24000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-400-4-4-4444444222222-2-2-2-2-2-2000006i−6i6i−6i0000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-400-4-4-4444444222222-2-2-2-2-2-200000−6i6i−6i6i0000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-48-8444-4-444-44222-2-2-2-2222-2-24-44-4422-2-2-4000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-88444-4-444-44222-2-2-2-2222-2-2-44-44-4-2-2224000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4004-844-8-4-448-42-44-24-44-24-4200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-480044-8448-4-8-42-4-4-244-4-2442-400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-40044444-4-44-4222-2-2-22-2-2-222000006i−6i−6i6i0000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-40044444-4-44-4222-2-2-22-2-2-22200000−6i6i6i−6i0000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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