Finite Group Databasebeta

← Group #13169286

Character table — Group #13169286

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121222244666666666666121212121212444444666666121212121212121244412121212121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1-11111111111-1-11-111-1-11-11-111-1-11-1-111-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11-111-1-1-11-11-1-111-111-1-11111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-11-1-1111-11-111-1-11-11-1-111-1-111-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-1-1-111111111-1-111-11-1-111-11-11-1-111-11-111-1-1-1-11111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1111111-1-11111-1-1-1-1-1-111-1-1111-111-1-11-11-111-1-1-11-111-1-1-1-111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-1-11-11-1-1111-11-1-111-1-111111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-11-1-1111-11-111-1-1-111-1-11111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111111-1-1111111-1-1-1-1-1-11111-1-1-11-1-111-11-11-1-1111-1-111-1-111-1-1-1-11-11
χ17222222-1222-1-122222-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12220022-1-1-1-1-1-1-1-1-1-122-1-1-1-100222222-1-1-1-1000000000000000-1-1-1-100000
χ18222222-1222-1-122222-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12-2-20022-1-11111-1-1-1-122-1-1-1-100-2-2-2-2-2-21111000000000000000111100000
χ19222222-1222-1-122222-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-1-22200-2-211-1-1-1-11111-2-2111100-2-2-2-222-1-1-1-1000000000000000111100000
χ20222222-1222-1-122222-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-1-2-2-200-2-21111111111-2-21111002222-2-21111000000000000000-1-1-1-100000
χ21222222-1-2-22-1-122222-12-1-122-1-1-1-1-1-12-2-2-2-211111122-1-1-1-1-1-1-1-111-2-21111-22-200-2-211-1-111111122-1-1-1-10022-2-22-2-1-111000000000000000-1-11100000
χ22222222-1-2-22-1-122222-12-1-122-1-1-1-1-1-12-2-2-2-211111122-1-1-1-1-1-1-1-111-2-21111-2-2200-2-21111-1-1111122-1-1-1-100-2-222-2211-1-100000000000000011-1-100000
χ23222222-1-2-22-1-122222-12-1-122-1-1-1-1-1-12-2-2-2-2111111-2-21111-1-1-1-111-2-2111122-20022-1-1-1-111-1-1-1-1-2-2111100-2-2222-2-1-11100000000000000011-1-100000
χ24222222-1-2-22-1-122222-12-1-122-1-1-1-1-1-12-2-2-2-2111111-2-21111-1-1-1-111-2-211112-220022-1-111-1-1-1-1-1-1-2-211110022-2-2-2211-1-1000000000000000-1-11100000
χ2522222-1222222-1-1-1222-12-1-1-122-1-1-12-1-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-102222000022220000000000220000-1-1-1-1-1-1-1-122-1-1-1-1002-1-1-1-1000000000
χ2622222-1222222-1-1-1222-12-1-1-122-1-1-12-1-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-1022-2-2000022220000000000-2-20000-1-1-1-1-1-111-2-2111100-21111000000000
χ2722222-1222222-1-1-1222-12-1-1-122-1-1-12-1-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2220000-2-2-2-20000000000-2-20000111111-1-122-1-1-1-100-21111000000000
χ2822222-1222222-1-1-1222-12-1-1-122-1-1-12-1-1-122222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-20000-2-2-2-2000000000022000011111111-2-21111002-1-1-1-1000000000
χ2922222-12-2-2222-1-1-1222-12-1-1-122-1-1-12-111-2-2-2-2-2-2-2-2000000-1-1-1-11111111102-22-2000022-2-20000000000220000-11-1-111-112-2-1-11100-2-1-111000000000
χ3022222-12-2-2222-1-1-1222-12-1-1-122-1-1-12-111-2-2-2-2-2-2-2-2000000-1-1-1-11111111102-2-22000022-2-20000000000-2-20000-11-1-1111-1-2211-1-100211-1-1000000000
χ3122222-12-2-2222-1-1-1222-12-1-1-122-1-1-12-111-2-2-2-2-2-2-2-2000000-1-1-1-1111111110-222-20000-2-2220000000000-2-200001-111-1-1-112-2-1-11100211-1-1000000000
χ3222222-12-2-2222-1-1-1222-12-1-1-122-1-1-12-111-2-2-2-2-2-2-2-2000000-1-1-1-1111111110-22-220000-2-22200000000002200001-111-1-11-1-2211-1-100-2-1-111000000000
χ332222-12222-122222-1-12-1-12-1-1-1-1222-1-122-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-120022-1-1220000-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1-1-12200000000000-1-10
χ342222-12222-122222-1-12-1-12-1-1-1-1222-1-122-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1200-2-2-1-1220000-1-1-1-1-1-1-1-1-1-1000000000000-2-2111111-2-200000000000110
χ352222-12222-122222-1-12-1-12-1-1-1-1222-1-122-1-122-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2002211-2-20000111111111100000000000022-1-1-1-1-1-1-2-200000000000110
χ362222-12222-122222-1-12-1-12-1-1-1-1222-1-122-1-122-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-200-2-211-2-200001111111111000000000000-2-21111112200000000000-1-10
χ372222-122-2-2-122222-1-12-1-12-1-1-1-1222-1-1-2-211-2-21111222222-1-1-1-1-2-2111111-2002-211-2-200001111-1-1-1-1-1-10000000000002-2-11-1-1112-200000000000-110
χ382222-122-2-2-122222-1-12-1-12-1-1-1-1222-1-1-2-211-2-21111222222-1-1-1-1-2-2111111-200-2211-2-200001111-1-1-1-1-1-1000000000000-221-111-1-1-22000000000001-10
χ392222-122-2-2-122222-1-12-1-12-1-1-1-1222-1-1-2-211-2-21111-2-2-2-2-2-2-1-1-1-1-2-21111112002-2-1-1220000-1-1-1-11111110000000000002-2-11-1-111-22000000000001-10
χ402222-122-2-2-122222-1-12-1-12-1-1-1-1222-1-1-2-211-2-21111-2-2-2-2-2-2-1-1-1-1-2-2111111200-22-1-1220000-1-1-1-1111111000000000000-221-111-1-12-200000000000-110
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χ492-2-2222-12-2-2112-2-22-2-12-1-1-2-21111-1-122-22-2-11-1-11100−i3i3−i3i3-111-1-112-2-1-1110000000−i3i3−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3002-22-200−i3i3−i3i3000000000000000-11-1100000
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χ914-4-444-24-44-4-4-4-2224-44-24-222-4-422-24-22-2-44-44-4-444000000-222-22-22-222-2-200000000000000000000000000000000000000000000000000000000000
χ924-4-444-2-24-4-422-2224-4-2-2-212222-1-11-2-2-224-4-22-2-2220000001-1-111-1-2211-1-1000000000−2i32i3−2i32i3000000000000000000i3−i3i3−i3000000000000000000000000
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χ944-4-444-2-2-44-422-2224-4-2-2-212222-1-11-2-22-2-442-222-2-20000001-1-11-112-2-1-111000000000−2i32i32i3−2i3000000000000000000i3−i3−i3i3000000000000000000000000
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χ974-4-44-244-442-4-44-4-4-224-2-242222-4-44-2-2-442-2-4422-2-2000000-222-2-442-222-2-200000000000000000000000000000000000000000000000000000000000
χ984-4-44-24-24-42224-4-4-22-2-21-222-1-122-21-24-4-22-2211-1-100−2i32i3−2i32i31-1-11-22-2211-1-10000000−2i32i30000i3i3−i3−i300i3−i3i3−i3000000000000000000000000000000000000
χ994-4-44-24-24-42224-4-4-22-2-21-222-1-122-21-24-4-22-2211-1-1002i3−2i32i3−2i31-1-11-22-2211-1-100000002i3−2i30000−i3−i3i3i300−i3i3−i3i3000000000000000000000000000000000000
χ1004-4-44-24-2-442224-4-4-22-2-21-222-1-122-21-2-442-22-2-1-11100−2i32i3−2i32i31-1-112-22-2-1-11100000002i3−2i30000−i3−i3i3i300i3−i3i3−i3000000000000000000000000000000000000
χ1014-4-44-24-2-442224-4-4-22-2-21-222-1-122-21-2-442-22-2-1-111002i3−2i32i3−2i31-1-112-22-2-1-1110000000−2i32i30000i3i3−i3−i300−i3i3−i3i3000000000000000000000000000000000000
χ1024-4-44-2-244-42-4-4-222-2241-2-2-1-12222-2-21-22-224-4-2-2220000001-1-11-221-111-1-10000000000000000000000000000000000000003-33-30000000000000000
χ1034-4-44-2-244-42-4-4-222-2241-2-2-1-12222-2-21-22-224-4-2-2220000001-1-11-221-111-1-1000000000000000000000000000000000000000-33-330000000000000000
χ1044-4-44-2-24-442-4-4-222-2241-2-2-1-12222-2-212-22-2-4422-2-20000001-1-112-2-11-1-1110000000000000000000000000000000000000003-3-330000000000000000
χ1054-4-44-2-24-442-4-4-222-2241-2-2-1-12222-2-212-22-2-4422-2-20000001-1-112-2-11-1-111000000000000000000000000000000000000000-333-30000000000000000
χ1068888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-42222000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000
χ10888-8-88-4-40084-444-4-8-84-4-424-44-4-22-24400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
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χ11088-8-8-4-4-400-44-444-4444222-22-22-22-2-2-20000006i−6i6i−6i000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-400-44-444-4444222-22-22-22-2-2-2000000−6i6i−6i6i000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1128-88-88-4-400-8-444-44-884-4-42-44-442-2-244000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-480048-84-444-4-82-4-42-2-44-4444-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4004-444-444-442222-22-22-2-2-2-20000006i−6i−6i6i000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-4004-444-444-442222-22-22-2-2-2-2000000−6i6i6i−6i000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-48-8444-444-44-4222-2-2-2-2-2-2222-44-44-4422-2-2000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-88444-444-44-4222-2-2-2-2-2-22224-44-44-4-2-222000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000000

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