Finite Group Databasebeta

← Group #13169285

Character table — Group #13169285

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order122233344666666666333666666666121212121212121212122266663666121212121212121244444666666121212121212121212121212444444121212121212121212121212121244412121212121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111111111-1-111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1111111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-111-1-1-1-1-1-11111-1-11-11-11-111-1-111-1-11-1-111-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-1-1-111-111-1-11111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-11111-1-11-11-1-111-1-111-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-111-1-1-1-111-1-111-11-11-11-1-111-1-111-11-111-1-1-1-11111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1111111-1-1111111-1-1111-11-11-111-1-111-1-1-11-111-1-1-1-111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1111111-1-11111-1-1-1-111-111-1-1111-1-1-1-1111-11-1-111-1-111111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-11111-1-1111111-1-111-1-11-1-111-1-1-11111-1-1-111-1-11111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-11111-1-11111111111-1-1-11-11-11-1-111-1-1111-1-111-1-111-1-1-1-11-11
χ17222222-12222-122-12-122-1-122-1-1-1-1-12-1-1-12222-1-1-1-1222222-1-1-1-122-1-1-1-1-1-120022-1-1-1-1-1-1-1-1220000-1-1-1-1000000-1-100220000-1-1-1-12200000000000-1-10
χ18222222-12222-122-12-122-1-122-1-1-1-1-12-1-1-12222-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1200-2-2-1-1-1-1-1-1-1-1220000-1-1-1-10000001100-2-200001111-2-200000000000110
χ19222222-12222-122-12-122-1-122-1-1-1-1-12-1-1-12222-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2002211111111-2-200001111000000-1-100220000-1-1-1-1-2-200000000000110
χ20222222-12222-122-12-122-1-122-1-1-1-1-12-1-1-12222-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-200-2-211111111-2-2000011110000001100-2-2000011112200000000000-1-10
χ21222222-1-2-222-122-12-122-1-122-1-1-1-1-12-111-2-2-2-21111222222-1-1-1-1-2-2111111-2002-2-1-1-1-1-1-111-2-200001111000000-11002-20000-1-1112-200000000000-110
χ22222222-1-2-222-122-12-122-1-122-1-1-1-1-12-111-2-2-2-21111222222-1-1-1-1-2-2111111-200-22-1-1-1-1-1-111-2-2000011110000001-100-22000011-1-1-22000000000001-10
χ23222222-1-2-222-122-12-122-1-122-1-1-1-1-12-111-2-2-2-21111-2-2-2-2-2-2-1-1-1-1-2-21111112002-2111111-1-1220000-1-1-1-1000000-11002-20000-1-111-22000000000001-10
χ24222222-1-2-222-122-12-122-1-122-1-1-1-1-12-111-2-2-2-21111-2-2-2-2-2-2-1-1-1-1-2-2111111200-22111111-1-1220000-1-1-1-10000001-100-22000011-1-12-200000000000-110
χ2522222-1222-1-1222222-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12220022-1-1-1-122-1-1-1-1-1-1-1-1-1-1002222002200-1-1-1-100000000000-1-1-1-100000
χ2622222-1222-1-1222222-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12-2-20022-1-1-1-122-1-11111-1-1-1-100-2-2-2-200-2-200111100000000000111100000
χ2722222-1222-1-1222222-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-1-22200-2-21111-2-211-1-1-1-1111100-2-2-2-2002200-1-1-1-100000000000111100000
χ2822222-1222-1-1222222-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-1-2-2-200-2-21111-2-2111111111100222200-2-200111100000000000-1-1-1-100000
χ2922222-12-2-2-1-1222222-1-12-1-1-122-1-1-1-12-2-2-2-211111122-1-1-1-1-1-1-1-111-2-21111-22-20022-1-1-1-1-2-211-1-11111110022-2-2002-200-1-11100000000000-1-11100000
χ3022222-12-2-2-1-1222222-1-12-1-1-122-1-1-1-12-2-2-2-211111122-1-1-1-1-1-1-1-111-2-21111-2-220022-1-1-1-1-2-21111-1-1111100-2-22200-220011-1-10000000000011-1-100000
χ3122222-12-2-2-1-1222222-1-12-1-1-122-1-1-1-12-2-2-2-2111111-2-21111-1-1-1-111-2-2111122-200-2-2111122-1-1-1-111-1-1-1-100-2-222002-200-1-1110000000000011-1-100000
χ3222222-12-2-2-1-1222222-1-12-1-1-122-1-1-1-12-2-2-2-2111111-2-21111-1-1-1-111-2-211112-2200-2-2111122-1-111-1-1-1-1-1-10022-2-200-220011-1-100000000000-1-11100000
χ332222-12222222-1-12-122-1-12-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-10222200000000002222000022000022-1-1-1-1-1-1-1-1-1-1-1-1002-1-1-1-1000000000
χ342222-12222222-1-12-122-1-12-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1022-2-2000000000022220000-2-20000-2-2-1-111-1-1-1-1111100-21111000000000
χ352222-12222222-1-12-122-1-12-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2220000000000-2-2-2-20000-2-200002211-1-11111-1-1-1-100-21111000000000
χ362222-12222222-1-12-122-1-12-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-20000000000-2-2-2-20000220000-2-2111111111111002-1-1-1-1000000000
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χ382222-122-2-2222-1-12-122-1-12-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-11111111102-2-22000000000022-2-20000-2-20000-22-111-1-1-11111-1-100211-1-1000000000
χ392222-122-2-2222-1-12-122-1-12-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-1111111110-222-20000000000-2-2220000-2-200002-21-1-1111-1-1-1-11100211-1-1000000000
χ402222-122-2-2222-1-12-122-1-12-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-1111111110-22-220000000000-2-2220000220000-221-11-111-1-111-1-100-2-1-111000000000
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χ452-2-222222-2-2-2-2-2-222-22222-2-2-2-2-2-22222-22-22-222-2-20000002-2-222-22-222-2-200000000000000000000000002-22-20000000000000000000002-22-200000
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χ492-2-222-122-211-2-2-222-2-1-12-111-2-211-1-122-22-2-11-1-11100−i3i3−i3i3-111-1-112-2-1-1110000000−i3i3−i3i300−i3i3−i3i3−i3i3−i3−i3i3i3002-22-2000000−i3i3−i3i300000000000-11-1100000
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χ884-44-4-24400-44-42-2-424-4-2-242-22-2-44-4220000000000000000-22-2200000000000000000000000000000000000000000000000000000000−2i32i3000000000
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χ964-4-44-2444-4-4-4-4224-2-44-2-242222-4-44-2-24-4-224-444-4-4000000-222-2-22-22-2-22200000000000000000000000000000000000000000000000000000000000
χ974-4-44-244-44-4-4-4224-2-44-2-242222-4-44-2-2-442-2-44-4-444000000-222-22-22-222-2-200000000000000000000000000000000000000000000000000000000000
χ984-4-44-24-24-4-4-4222-2-224-21-222-1-122-2-21-22-224-4-2-2220000001-1-11-221-111-1-10000000000000000000000000000000000000003-33-30000000000000000
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χ1004-4-44-24-2-44-4-4222-2-224-21-222-1-122-2-212-22-2-4422-2-20000001-1-112-2-11-1-1110000000000000000000000000000000000000003-3-330000000000000000
χ1014-4-44-24-2-44-4-4222-2-224-21-222-1-122-2-212-22-2-4422-2-20000001-1-112-2-11-1-111000000000000000000000000000000000000000-333-30000000000000000
χ1024-4-44-2-244-422-4224-2-4-21-2-2-1-12222-21-24-4-22-22-2-2220000001-1-111-1-2211-1-1000000000000000−2i32i3−2i32i30000000000000000i3−i3i3−i300000000000000000000
χ1034-4-44-2-244-422-4224-2-4-21-2-2-1-12222-21-24-4-22-22-2-2220000001-1-111-1-2211-1-10000000000000002i3−2i32i3−2i30000000000000000−i3i3−i3i300000000000000000000
χ1044-4-44-2-24-4422-4224-2-4-21-2-2-1-12222-21-2-442-22-222-2-20000001-1-11-112-2-1-111000000000000000−2i32i32i3−2i30000000000000000i3−i3−i3i300000000000000000000
χ1054-4-44-2-24-4422-4224-2-4-21-2-2-1-12222-21-2-442-22-222-2-20000001-1-11-112-2-1-1110000000000000002i3−2i3−2i32i30000000000000000−i3i3i3−i300000000000000000000
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
χ10888-8-8-48-4008-8-4-44444-8-42-4-442-2-4444-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4800-448-44-84-842-4-42-2-44-444-24000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-400-44-4-4444442222-22-22-2-2-2-20000006i−6i6i−6i000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-400-44-4-4444442222-22-22-2-2-2-2000000−6i6i−6i6i000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-400-8844-444-4-8-42-44-4-224-444-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-48004-4-84-4-84842-4-4-224-44-44-2400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4004-444-444-44222-22-22-22-2-2-20000006i−6i−6i6i000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-4004-444-444-44222-22-22-22-2-2-2000000−6i6i6i−6i000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-48-844444-4-44-4222-2-2-2-2-2-2222-44-44-4422-2-2000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-8844444-4-44-4222-2-2-2-2-2-22224-44-44-4-2-222000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000000

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