Finite Group Databasebeta

← Group #11876991

Character table — Group #11876991

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444444444444444444444444444444444444444444444441818181824242424242424243636363636364848484848484848
order122233444444666666366688881212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444422224444248888666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ9111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-1-1-111-1-11-11-11-11-1
χ10111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-11-1-111-1-1-11-11-11-11
χ11111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1111-1-1111-11-1-11-11
χ12111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-1-111-11-111-11-1
χ13111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-111-1-11-1-1-1-1111-1-111-1-11
χ14111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-111-1-111-1-1-1-1-111-111-1-111-1
χ15111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-11-111-11111-1-11-1-11-111-1
χ16111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-11-1-111111-1-1-111-11-1-11
χ1722222222-2-2-2-22222222222000022-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-2000000002-2000000000000
χ1822222222-2-2-2-22222222222000022-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-22200000000-22000000000000
χ19222222-2-222-2-222222222220000-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-200000000-22000000000000
χ20222222-2-222-2-222222222220000-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222000000002-2000000000000
χ2122222-12222222-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000-1-1-1-10000
χ2222222-12222222-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000011110000
χ2322222-12222222-1-1-122-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000022-2-20000000000-1-1110000
χ2422222-12222222-1-1-122-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-222000000000011-1-10000
χ2522222-1-2-2-2-2222-1-1-122-1-1-1-122-2-21111-2-2-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100002-22-20000000000-11-110000
χ2622222-1-2-2-2-2222-1-1-122-1-1-1-122-2-21111-2-2-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-22-2200000000001-11-10000
χ2722222-1-2-2-2-2222-1-1-122-1-1-1-1-2-2221111-2-2-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100002-2-220000000000-111-10000
χ2822222-1-2-2-2-2222-1-1-122-1-1-1-1-2-2221111-2-2-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-222-200000000001-1-110000
χ292222-12222222-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000022220000000000-1-1-1-1
χ302222-12222222-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-2-2-200000000001111
χ312222-12222222-1222-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000022-2-20000000000-1-111
χ322222-12222222-1222-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000-2-222000000000011-1-1
χ332222-12-2-2-2-222-1222-1-1-1-1-1-122-2-2-2-2-2-2111111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000002-22-20000000000-11-11
χ342222-12-2-2-2-222-1222-1-1-1-1-1-122-2-2-2-2-2-2111111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000-22-2200000000001-11-1
χ352222-12-2-2-2-222-1222-1-1-1-1-1-1-2-222-2-2-2-2111111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000002-2-220000000000-111-1
χ362222-12-2-2-2-222-1222-1-1-1-1-1-1-2-222-2-2-2-2111111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000000-222-200000000001-1-11
χ3722-2-22200002-222-2-2-2-222-2-2002-200000000000000002-22-222-2-2000000000000000022-2-222-2-22222-2-2-2-22i−2i2i−2i0000000000002i−2i00000000
χ3822-2-22200002-222-2-2-2-222-2-2002-200000000000000002-22-222-2-2000000000000000022-2-222-2-22222-2-2-2-2−2i2i−2i2i000000000000−2i2i00000000
χ3922-2-22200002-222-2-2-2-222-2-200-2200000000000000002-22-222-2-20000000000000000-2-222-2-222-2-2-2-222222i−2i2i−2i000000000000−2i2i00000000
χ4022-2-22200002-222-2-2-2-222-2-200-2200000000000000002-22-222-2-20000000000000000-2-222-2-222-2-2-2-22222−2i2i−2i2i0000000000002i−2i00000000
χ4122-2-2220000-2222-2-2-2-222-2-22-2000000000000000000-22-22-2-22222-2-222-2-22222-2-2-2-200000000000000002i−2i−2i2i00000000002i−2i0000000000
χ4222-2-2220000-2222-2-2-2-222-2-22-2000000000000000000-22-22-2-22222-2-222-2-22222-2-2-2-20000000000000000−2i2i2i−2i0000000000−2i2i0000000000
χ4322-2-2220000-2222-2-2-2-222-2-2-22000000000000000000-22-22-2-222-2-222-2-222-2-2-2-2222200000000000000002i−2i−2i2i0000000000−2i2i0000000000
χ4422-2-2220000-2222-2-2-2-222-2-2-22000000000000000000-22-22-2-222-2-222-2-222-2-2-2-222220000000000000000−2i2i2i−2i00000000002i−2i0000000000
χ4544444-244-4-4-4-44-2-2-244-2-2-2-20000-2-22244-4-4-2-2-2-22222-4-42222220000000000000000000000000000000000000000000000000000000000
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χ494444-2-2444444-2-2-2-2-2-211114444-2-2-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ504444-2-2444444-2-2-2-2-2-21111-4-4-4-4-2-2-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ514444-2-244-4-4-4-4-2-2-2-2-2-211110000-2-222-2-2221111-1-1-1-12222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ524444-2-244-4-4-4-4-2-2-2-2-2-211110000-2-222-2-2221111-1-1-1-12222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ534444-2-2-4-444-4-4-2-2-2-2-2-21111000022-2-222-2-2-1-1-1-111112222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ544444-2-2-4-444-4-4-2-2-2-2-2-21111000022-2-222-2-2-1-1-1-111112222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ554444-2-2-4-4-4-444-2-2-2-2-2-2111144-4-422222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ564444-2-2-4-4-4-444-2-2-2-2-2-21111-4-44422222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ5744-4-44-200004-44-222-4-4-2-222004-400000000000000004-4-22-2-222000000000000000044-4-4-2-222-2-2-2-2222200000000000000000000000000
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χ6744-4-4-2-200004-4-2-2222211-1-100-44000000003i3i−3i−3i3i3i−3i−3i-22-2211-1-100000000−3i−3i3i3i3i3i−3i−3i22-2-222-2-2-1-1-1-1111100000000000000000000000000
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χ894-44-4-2-200-440022-22-221-11-10000002-2002-2−3i3i−3i3i-11-1100003i−3i3i−3i6−66−6i6−i6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−66−66−i6i6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000
χ904-44-4-2-200-440022-22-221-11-10000002-2002-2−3i3i−3i3i-11-1100003i−3i3i−3i−66−66−i6i6−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ236−66−6i6−i6i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000
χ914-4-44444-40000-4-4-44-444-4-4400004-4004-4004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-440000-4-4-44-444-4-440000-4400-4400-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-444-24-40000-422-2-44-222-20000-22004-400-222-20000000000000000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i60000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000
χ944-4-444-24-40000-422-2-44-222-20000-22004-400-222-20000000000000000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i60000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000
χ954-4-444-2-440000-422-2-44-222-200002-200-44002-2-220000000000000000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i60000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000
χ964-4-444-2-440000-422-2-44-222-200002-200-44002-2-220000000000000000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i60000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000
χ974-4-44-244-400002-4-442-2-222-200004-400-2200-222-20000000000006−6−6600006−6−66−666−6−666−600006−6−66−666−600000000000000000000000000
χ984-4-44-244-400002-4-442-2-222-200004-400-2200-222-2000000000000−666−60000−666−66−6−666−6−660000−666−66−6−6600000000000000000000000000
χ994-4-44-24-4400002-4-442-2-222-20000-44002-2002-2-220000000000006−6−6600006−6−66−666−66−6−660000−666−66−6−6600000000000000000000000000
χ1004-4-44-24-4400002-4-442-2-222-20000-44002-2002-2-22000000000000−666−60000−666−66−6−66−666−600006−6−66−666−600000000000000000000000000
χ1014-4-44-2-24-40000222-22-21-1-110000-2200-22001-1-113i−3i−3i3i0000−3i3i3i−3i6−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−666−6i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000
χ1024-4-44-2-24-40000222-22-21-1-110000-2200-22001-1-113i−3i−3i3i0000−3i3i3i−3i−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ236−6−66−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000
χ1034-4-44-2-24-40000222-22-21-1-110000-2200-22001-1-11−3i3i3i−3i00003i−3i−3i3i6−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−666−6−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000
χ1044-4-44-2-24-40000222-22-21-1-110000-2200-22001-1-11−3i3i3i−3i00003i−3i−3i3i−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ136−6−66i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000
χ1054-4-44-2-2-440000222-22-21-1-1100002-2002-200-111-13i−3i−3i3i00003i−3i−3i3i6−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ136−6−66i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000
χ1064-4-44-2-2-440000222-22-21-1-1100002-2002-200-111-13i−3i−3i3i00003i−3i−3i3i−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−666−6−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000
χ1074-4-44-2-2-440000222-22-21-1-1100002-2002-200-111-1−3i3i3i−3i0000−3i3i3i−3i6−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ236−6−66−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000
χ1084-4-44-2-2-440000222-22-21-1-1100002-2002-200-111-1−3i3i3i−3i0000−3i3i3i−3i−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−666−6i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.