Finite Group Databasebeta

← Group #13168730

Character table — Group #13168730

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121222444412121212366612121212121212121244466661212121212121212121212121212121212122244661212121212121212121244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-11111111111-1-1111-1-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1111
χ51111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111111-1-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1111111-1-1-1-1111111-1-11-1-1-111-1-1-1-11-111-1-111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-111-11-11-1-1-1-111-11-1111-1-1-1-1111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-11-1-1-111-1-11-1-11-1-1111111-1-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-1-1-1-111111-1-1-111-1-1-1-111-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1111-1-1-111-1-11111-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111-1111-1-1111-1-11-1-11111-1-1-1-111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11-11-11111-1-1-11-1111-1-1-1-1-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1111-1-111-1-11-111-1-11111-11-1-1
χ17222222-12-122-12-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120022-1-122-1-122-1-100-1-1-1-1-1-1-1-12200-1-12000-1-100002000-1-1-1-100000000
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χ19222222-12-122-12-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-200-2-21122-1-1221100-1-1-1-1-1-1-1-1-2-20011-2000110000-2000111100000000
χ20222222-12-122-12-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-200-2-211-2-211-2-2110011111111220011-20001100002000-1-1-1-100000000
χ21222222-12-122-12-1222-1-1-222-1-1-1-1-1-1211-2-211112222-2-21111-1-1-1-1-211-2-21111-20022-1-122-1-1-2-21100-1-1-1-111112200-1-1-2000110000-2000-1-11100000000
χ22222222-12-122-12-1222-1-1-222-1-1-1-1-1-1211-2-2111122-2-222-1-1-1-1-1-1-1-1-211-2-21111-20022-1-1-2-2112211001111-1-1-1-1-2-200-1-1-2000110000200011-1-100000000
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χ24222222-12-122-12-1222-1-1-222-1-1-1-1-1-1211-2-21111-2-2-2-222-1-1-1-1-1-1-1-1-211-2-21111200-2-211-2-21122-1-1001111-1-1-1-12200112000-1-10000-2000-1-11100000000
χ2522222-12-12222-12-12-12-12-1-1-12-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-12200000022-1-1000000000022-1-1-1-122-1-1-1-1-1-102000000-1-100-1000
χ2622222-12-12222-12-12-12-12-1-1-12-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-1-12200000022110000000000-2-2-1-1-11-2-2-1-111110-200000011001000
χ2722222-12-12222-12-12-12-12-1-1-12-122-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22211-2-2000000-2-2-1-10000000000-2-2111-12211-1-1-1-10-200000011001000
χ2822222-12-12222-12-12-12-12-1-1-12-122-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2000000-2-2110000000000221111-2-211111102000000-1-100-1000
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χ332222-12222-1-12222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-10022222222-1-1-1-1222-1-1-1-1-1-10220000-1-122-1-10022-1-1-1-1-1-1-1-100000002-1-100-1-1-1-10022000000000-1-10
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χ352222-12222-1-12222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1022000011-2-21100221111111100000002-1-100-1-1-1-100-2-2000000000110
χ362222-12222-1-12222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-2000011-2-21100-2-2111111110000000-2110011110022000000000-1-10
χ372222-12222-1-12222-1-1-12-2-1-12-12-1-12-1-2-21111110022-2-2-2-2-2-2-1-1-1-1-2-2-211111102-20000-1-122110022-1-1-1-111110000000-2-1100-1-111002-2000000000-110
χ382222-12222-1-12222-1-1-12-2-1-12-12-1-12-1-2-21111110022-2-2-2-2-2-2-1-1-1-1-2-2-21111110-220000-1-1221100-2-2-1-1-1-11111000000021-10011-1-100-220000000001-10
χ392222-12222-1-12222-1-1-12-2-1-12-12-1-12-1-2-211111100-2-2222222-1-1-1-1-2-2-211111102-2000011-2-2-1-100221111-1-1-1-10000000-2-1100-1-11100-220000000001-10
χ402222-12222-1-12222-1-1-12-2-1-12-12-1-12-1-2-211111100-2-2222222-1-1-1-1-2-2-21111110-22000011-2-2-1-100-2-21111-1-1-1-1000000021-10011-1-1002-2000000000-110
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χ884-44-4-24-2-422-224-2-42-21-202-22-12-11-2200003i−3i3i−3i0000-442-22-21-11-1000003i−3i3i−3i000000000002-20000−3i3i−3i3i-11-1100000000000000000000000000000000
χ894-44-4-24-2-422-224-2-42-21-202-22-12-11-220000−3i3i−3i3i00004-4-22-221-11-100000−3i3i−3i3i00000000000-220000−3i3i−3i3i1-11-100000000000000000000000000000000
χ904-44-4-24-2-422-224-2-42-21-202-22-12-11-220000−3i3i−3i3i0000-442-22-21-11-100000−3i3i−3i3i000000000002-200003i−3i3i−3i-11-1100000000000000000000000000000000
χ914-4-44444-44-4-4-4-4-4444440-4-4-444-4-4-440000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
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χ944-4-444-2424-4-4-42-4-24-24-202224-2-4-42-2000000000000000000-222-2000000000000000000000000−2i32i300000000000000000000−2i32i3000000000000000000
χ954-4-444-2424-4-4-42-4-24-24-202224-2-4-42-2000000000000000000-222-20000000000000000000000002i3−2i3000000000000000000002i3−2i3000000000000000000
χ964-4-44-244-4422-4-4-44-2-2-24022-4-2422-4-200−2i32i3−2i32i32i3−2i30000000000-222-2000−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ974-4-44-244-4422-4-4-44-2-2-24022-4-2422-4-2002i3−2i32i3−2i3−2i32i30000000000-222-20002i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ984-4-44-24-2-4-2222-424-2-21-202221-2-1-12-200−2i32i3i3−i3−i3i300000023−23−23231-1-11000−2i32i3i3−i3−i3i3000000000000000003i−3i−3i3i−333−300000000000000000000000000000000
χ994-4-44-24-2-4-2222-424-2-21-202221-2-1-12-200−2i32i3i3−i3−i3i3000000−232323−231-1-11000−2i32i3i3−i3−i3i300000000000000000−3i3i3i−3i3−3−3300000000000000000000000000000000
χ1004-4-44-24-2-4-2222-424-2-21-202221-2-1-12-2002i3−2i3−i3i3i3−i300000023−23−23231-1-110002i3−2i3−i3i3i3−i300000000000000000−3i3i3i−3i−333−300000000000000000000000000000000
χ1014-4-44-24-2-4-2222-424-2-21-202221-2-1-12-2002i3−2i3−i3i3i3−i3000000−232323−231-1-110002i3−2i3−i3i3i3−i3000000000000000003i−3i−3i3i3−3−3300000000000000000000000000000000
χ1024-4-44-2-242422-42-4-2-21-2-20-1-12-2-2222100−2i32i3−2i32i32i3−2i300000000001-1-11000i3−i3i3−i3−i3i3000000000000000−2i32i300000000000000000000i3−i33-30000000000000000
χ1034-4-44-2-242422-42-4-2-21-2-20-1-12-2-2222100−2i32i3−2i32i32i3−2i300000000001-1-11000i3−i3i3−i3−i3i30000000000000002i3−2i300000000000000000000−i3i3-330000000000000000
χ1044-4-44-2-242422-42-4-2-21-2-20-1-12-2-22221002i3−2i32i3−2i3−2i32i300000000001-1-11000−i3i3−i3i3i3−i3000000000000000−2i32i300000000000000000000i3−i3-330000000000000000
χ1054-4-44-2-242422-42-4-2-21-2-20-1-12-2-22221002i3−2i32i3−2i3−2i32i300000000001-1-11000−i3i3−i3i3i3−i30000000000000002i3−2i300000000000000000000−i3i33-30000000000000000
χ1068888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-48-4-8-4484-8442-4-402-2-444-444-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-44-44-4444422202-22-2-22-2-2-243−4300−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4-44-44-4444422202-22-2-22-2-2-2−4343002323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-444-884-4-44-8-4-4204-4-24-24-4240000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-484-84-4-8-48442-4-40-224444-4-4-20000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4444-44-4-4442220-22-2-2-2-222-200006i−6i6i−6i0000000000-11-1100000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4444-44-4-4442220-22-2-2-2-222-20000−6i6i−6i6i0000000000-11-11000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1158-8-888-4-44-4-8-8444-48-4-42044-2-4244-2-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-44-444444-4-42220-2-2-222-2-2-2200−4i34i32i3−2i3−2i32i30000000000-111-10002i3−2i3−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-44-444444-4-42220-2-2-222-2-2-22004i3−4i3−2i32i32i3−2i30000000000-111-1000−2i32i3i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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