Finite Group Databasebeta

← Group #13168082

Character table — Group #13168082

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order1222333446666666663336666666661212121212121212121222666636661212121212121212224446666666666121212121212121222224466666612121212121212124446666121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-11111-1-11111-1-1-1-1-1-1-1-111-1-1111-111-1-11-11-111-1-1-11-111-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-11-11-1-1111-1111-1-1-1-111-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1111-11-111-1-111-1-1-111-1-111-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1-111-11-11-1-111-1-11-1-11111-1-111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1-1-111111111-1-111111-111-1-11-11-111-1-1-1-11-1-11111-1-1-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-111-1-1-1-1-1-111111111-1-111-1-11-111-1-1-11-11-1-11111-1-1-111-1-111111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-11-1-1111-11-111-1-11-1111-1-1-1-11111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-11111111111-1-111-11-1-111-11-11-1-111-11-111-1-111-1-1-1-11-11
χ17222222-1222-1-1-1222222-1-122-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12220022-1-1-1-1-1-1-1-1-1-122-1-1-1-122220022-1-1-1-100000000000-1-1-1-1000000000
χ18222222-1222-1-1-1222222-1-122-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2200221111-1-1-1-1-1-122-1-1-1-1-2-2-2-200-2-21111000000000001111000000000
χ19222222-1222-1-1-1222222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-122-200-2-2-1-1-1-1111111-2-21111-2-2-2-20022-1-1-1-1000000000001111000000000
χ20222222-1222-1-1-1222222-1-122-1-1-1-1-1-12-1-12222-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-1-2-2-200-2-21111111111-2-21111222200-2-2111100000000000-1-1-1-1000000000
χ21222222-1-2-22-1-1-1222222-1-122-1-1-1-1-1-1211-2-2-2-2111122-1-1-1-1-1-1-1-111-2-211112-2-20022-1-111-1-1-1-111-2-2111122-2-2002-2-1-11100000000000-1-111000000000
χ22222222-1-2-22-1-1-1222222-1-122-1-1-1-1-1-1211-2-2-2-2111122-1-1-1-1-1-1-1-111-2-21111-22-2002211-1-1-1-1-1-111-2-21111-2-22200-2211-1-10000000000011-1-1000000000
χ23222222-1-2-22-1-1-1222222-1-122-1-1-1-1-1-1211-2-2-2-21111-2-21111-1-1-1-111-2-211112-2200-2-2-1-1111111-1-122-1-1-1-1-2-222002-2-1-1110000000000011-1-1000000000
χ24222222-1-2-22-1-1-1222222-1-122-1-1-1-1-1-1211-2-2-2-21111-2-21111-1-1-1-111-2-21111-22200-2-211-1-11111-1-122-1-1-1-122-2-200-2211-1-100000000000-1-111000000000
χ2522222-12222222-1-1-122-12-1-1-122-1-1-12-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-122022002222000000000000000022-1-1-1-1-1-1-1-122-1-1-1-12000000-1-1-1-100000
χ2622222-12222222-1-1-122-12-1-1-122-1-1-12-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1220-2-20022220000000000000000-2-2-1-1-1-1-1-111-2-21111-2000000111100000
χ2722222-12222222-1-1-122-12-1-1-122-1-1-12-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-202200-2-2-2-20000000000000000-2-2111111-1-122-1-1-1-1-2000000111100000
χ2822222-12222222-1-1-122-12-1-1-122-1-1-12-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200-2-2-2-200000000000000002211111111-2-211112000000-1-1-1-100000
χ2922222-12-2-22222-1-1-122-12-1-1-122-1-1-12-1-2-211-2-2-2-2-2-2000000-1-1-1-1111111112-202-20022-2-2000000000000000022-11-1-111-112-2-1-111-2000000-1-11100000
χ3022222-12-2-22222-1-1-122-12-1-1-122-1-1-12-1-2-211-2-2-2-2-2-2000000-1-1-1-1111111112-20-220022-2-20000000000000000-2-2-11-1-1111-1-2211-1-1200000011-1-100000
χ3122222-12-2-22222-1-1-122-12-1-1-122-1-1-12-1-2-211-2-2-2-2-2-2000000-1-1-1-111111111-2202-200-2-2220000000000000000-2-21-111-1-1-112-2-1-111200000011-1-100000
χ3222222-12-2-22222-1-1-122-12-1-1-122-1-1-12-1-2-211-2-2-2-2-2-2000000-1-1-1-111111111-220-2200-2-2220000000000000000221-111-1-11-1-2211-1-1-2000000-1-11100000
χ332222-12222-1222222-1-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-100222-1-10000-1-1-1-122-1-1-1-1-1-100000000000022-1-1-1-1-1-10220000000000-1-10
χ342222-12222-1222222-1-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1002-2-2-1-10000-1-1-1-122-1-1-1-1-1-1000000000000-2-21111110-2-20000000000110
χ352222-12222-1222222-1-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-100-2221100001111-2-211111100000000000022-1-1-1-1-1-10-2-20000000000110
χ362222-12222-1222222-1-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-100-2-2-21100001111-2-2111111000000000000-2-21111110220000000000-1-10
χ372222-122-2-2-1222222-1-1-1-12-1-1-1-1222-1-1-2-2-2-2111111222222-1-1-1-1-2-211111100-22-2-1-10000-1-1-1-1-2-21111110000000000002-2-11-1-11102-20000000000-110
χ382222-122-2-2-1222222-1-1-1-12-1-1-1-1222-1-1-2-2-2-2111111222222-1-1-1-1-2-211111100-2-22-1-10000-1-1-1-1-2-2111111000000000000-221-111-1-10-2200000000001-10
χ392222-122-2-2-1222222-1-1-1-12-1-1-1-1222-1-1-2-2-2-2111111-2-2-2-2-2-2-1-1-1-1-2-21111110022-2110000111122-1-1-1-1-1-10000000000002-2-11-1-1110-2200000000001-10
χ402222-122-2-2-1222222-1-1-1-12-1-1-1-1222-1-1-2-2-2-2111111-2-2-2-2-2-2-1-1-1-1-2-2111111002-22110000111122-1-1-1-1-1-1000000000000-221-111-1-102-20000000000-110
χ4122-2-22220022-2-2-22-2-2-22222-22-22-2-2-2-200000000002-222-2-222-2-200000000000002-2000022-2-20000000000002i−2i0000000000000000000002i−2i002i−2i000
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χ452-2-222222-2-2-2-222-2-22-2222-2-2-2-2-2-22222-22-22-222-2-20000002-2-222-22-222-2-2000000000000000000000002-22-200000000000000000002-22-2000000000
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χ492-2-2222-12-2-211-12-2-22-22-1-1-2-21111-1-12-112-22-2-1-11100−i3i3−i3i3-111-1-112-2-1-1110000000−i3i3−i3i3−i3i3−i3i3−i3i300−i3−i3i3i32-22-20000−i3i3−i3i300000000000-11-11000000000
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χ914-4-444-24-44-4-4-44-2224-4-24-222-4-422-24-2-442-2-44-4-444000000-222-22-22-222-2-200000000000000000000000000000000000000000000000000000000000
χ924-4-444-2-24-4-422-2-2224-4-2-212222-1-11-2-2-22-224-4-2-2220000001-1-111-1-2211-1-10000000−2i32i3−2i32i300000000000000000000i3−i3i3−i3000000000000000000000000
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χ974-4-44-244-442-4-444-4-4-22-2-242222-4-44-2-2-44-442-222-2-2000000-222-2-442-222-2-200000000000000000000000000000000000000000000000000000000000
χ984-4-44-24-24-4222-24-4-4-22-21-222-1-122-21-2-224-4-2211-1-100−2i32i3−2i32i31-1-11-22-2211-1-100000000000i3−i3i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ994-4-44-24-24-4222-24-4-4-22-21-222-1-122-21-2-224-4-2211-1-1002i3−2i32i3−2i31-1-11-22-2211-1-100000000000−i3i3−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
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χ1024-4-44-2-244-42-4-44-222-221-2-2-1-12222-2-214-4-22-22-2-2220000001-1-11-221-111-1-10000000000000000000000000000000000000003-33-30000000000000000
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χ1044-4-44-2-24-442-4-44-222-221-2-2-1-12222-2-21-442-22-222-2-20000001-1-112-2-11-1-1110000000000000000000000000000000000000003-3-330000000000000000
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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
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χ11188-8-8-4-4-400-4-4444-44442222-22-22-2-2-2-2000000−6i6i−6i6i000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1128-88-88-4-400-84-4444-4-88-4-424-44-4-22-24400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-48004-88-844-44-42-4-4-224-44-444-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-40044-4444-44-4222-22-22-22-2-2-20000006i−6i−6i6i000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-40044-4444-44-4222-22-22-22-2-2-2000000−6i6i6i−6i000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-48-8444-4-444-44222-2-2-2-2-2-2222-44-44-4422-2-2000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-88444-4-444-44222-2-2-2-2-2-22224-44-44-4-2-222000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000000

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