Finite Group Databasebeta

← Group #13168178

Character table — Group #13168178

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121244444412121212366612121212121212121244412121212121212121212121212121212121212121212224412121212121212121212121244446612121212221212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1111111111111-1-1111-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-11111-1-1-1-1-1-111111111111111-1-1-1-1-11111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1111-1-1-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-11111-1-111-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1111-1-111-1-1-1-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111-11-1-1-111-1-1111-1-11-1-1-1-111-1-111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1111-1-1-1-111-1-11-111-1-11111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111111111-1-1-1-111111111-1-11-1-1-11111-1-1-1-11-111-1-111-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-11111-1-111-11-1111-1-111-1-11-1-11-1-1-1-1111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1111-1-111-1-1111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1111-1-1-1-11111-1-11111-1-1-1-1-11-11
χ17222222-1-1222-1-12222-1-12-1-1-1222-1-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1222002222-1-1-1-10000000000002200-1-122-1-1-1-1-1-1-1-10002-1-1000000-1000
χ18222222-1-1222-1-12222-1-12-1-1-1222-1-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2002222-1-111000000000000-2-200-11-2-21111-1-1-1-1000-2110000001000
χ19222222-1-1222-1-12222-1-12-1-1-1222-1-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22200-2-2-2-211-1-1000000000000-2-2001-122-1-1-1-11111000-2110000001000
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χ23222222-1-1222-1-12222-1-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-111111111122-200-2-22211-1-1000000000000-2-200-112-211-1-111-1-1000211000000-1000
χ24222222-1-1222-1-12222-1-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-2200-2-22211110000000000002200-1-1-22-1-11111-1-1000-2-1-10000001000
χ2522222-1222-1222-1-12-12-1222-1-1-1-1-1-1222-1-1-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-1022-1-100000022-1-122-1-1-1-1-1-1-1-1000002-1-1-1-1-1-100002020000000000-1-10
χ2622222-1222-1222-1-12-12-1222-1-1-1-1-1-1222-1-1-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-10-2-2-1-1000000-2-2-1-122-1-1-1-1-1-1-1-100000-21111110000-20-20000000000110
χ2722222-1222-1222-1-12-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1022110000002211-2-211111111000002-1-1-1-1-1-10000-20-20000000000110
χ2822222-1222-1222-1-12-12-1222-1-1-1-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-211000000-2-211-2-21111111100000-211111100002020000000000-1-10
χ2922222-1222-1222-1-12-12-1-222-1-1-1-1-1-12-2-21111112200-2-22222-1-1-1-1-211-2-2111102-2-1-10000002211-2-2-1-1-1-1111100000-2-1111-1-1000020-20000000000-110
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χ3122222-1222-1222-1-12-12-1-222-1-1-1-1-1-12-2-2111111-2-20022-2-2-2-2-1-1-1-1-211-2-2111102-21100000022-1-1221111-1-1-1-100000-2-1111-1-10000-20200000000001-10
χ3222222-1222-1222-1-12-12-1-222-1-1-1-1-1-12-2-2111111-2-20022-2-2-2-2-1-1-1-1-211-2-211110-2211000000-2-2-1-1221111-1-1-1-10000021-1-1-111000020-20000000000-110
χ332222-1222-12-12222-1-1-122-1-12-1-1-122-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120022-1-1-1-1220022-1-1-1-1-1-1-1-1-1-1002220000000-1-1-1-1020000-1-1-1-1000000
χ342222-1222-12-12222-1-1-122-1-12-1-1-122-1-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-200221111-2-20022-1-1-1-1-1-1-1-1-1-100-2-2-2000000011110-200001111000000
χ352222-1222-12-12222-1-1-122-1-12-1-1-122-1-1-122-1-1-1-1-2-222-2-21111-1-1-1-1222-1-1-1-1-1-1200-2-2-1-1-1-12200-2-2111111111100-2-220000000-1-1-1-10-200001111000000
χ362222-1222-12-12222-1-1-122-1-12-1-1-122-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-200-2-21111-2-200-2-211111111110022-200000001111020000-1-1-1-1000000
χ372222-1222-12-12222-1-1-12-2-1-12-1-1-122-111-2-211112222-2-2-1-1-1-1-1-1-1-1-2-2-2111111-20022-1-1112200-2-211-1-1-1-1111100-2-2-20000000-1-111020000-1-111000000
χ382222-1222-12-12222-1-1-12-2-1-12-1-1-122-111-2-2111122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-21111112002211-1-1-2-200-2-211-1-1-1-1111100222000000011-1-10-2000011-1-1000000
χ392222-1222-12-12222-1-1-12-2-1-12-1-1-122-111-2-21111-2-222221111-1-1-1-1-2-2-2111111-200-2-2-1-111220022-1-11111-1-1-1-10022-20000000-1-1110-2000011-1-1000000
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χ1054-4-44-2-24-4222-442-2-21-2-202-22-1-11-22200−23233−3−33000000−232323−231-11-10−2323003−3−33000000000000000003−3−333-3-3300000000000000000000000000000000
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χ11188-8-8-4-4-4-4-4-444444422202-22-22-2-2-2-20000−6i6i−6i6i0000000000-1-111000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1128-88-88-4-44-848-44-44-8-4-42044-2-444-22-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4444-4-44-4442220-2-2-22-2-2-222−4i34i3002i32i3−2i3−2i30000000000-111-10002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4444-4-44-4442220-2-2-22-2-2-2224i3−4i300−2i3−2i32i32i30000000000-111-1000−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-444444-44-4-42220-22-2-2-222-2-200−434323−23−23230000000000-11-11023−2300−333−3000000000000000000000000000000000000000000000000000000000

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