Finite Group Databasebeta

← Group #11789992

Character table — Group #11789992

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222444422334466666612121212121212123666666612121212121212126688121224242424242424242424242424242424888888882424242424242424242424242424242444881212121224242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1i−i11ii−i−iii−i−iiiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1i−i11ii−i−iii−i−iiiii−i−i−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-1−ii11-1-1−i−iii−i−iii-11
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i−i−iii-11
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-11−ii-1-111−i−iiiii−i−i1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1−ii11−i−iii−i−iii−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iiiii−i−i-11
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1−ii11−i−iii−i−iii−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-11i−i-1-111ii−i−i−i−iii1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1−ii11−i−iii−i−iii−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1−ii11−i−iii−i−iii−i−i−i−iiiii−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-1i−i11-1-1ii−i−iii−i−i-11
χ1722222222222-122222-1-1-1-1-12222-1-1-122-1-1-1-1-12-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ1822222222222-122222-1-1-1-1-12222-1-1-122-1-1-1-1-12-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ1922222222222-122222-1-1-1-1-12222-1-1-122-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-211111111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ2022222222222-122222-1-1-1-1-12222-1-1-122-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ212222222222-1222-1-1-122222-1-1-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ222222222222-1222-1-1-122222-1-1-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ232222222222-1222-1-1-122222-1-1-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ242222222222-1222-1-1-122222-1-1-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ2522222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-2-2-200-2-200000000000000002-22-2000022-2-222-2-200000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-2-2-200-2-20000000000000000-22-220000-2-222-2-22200000000000000000000000000
χ2722222222-2-22-1-2-2222-1-1-1-1-12222-1-1-1-2-211-1-1-1-211-1-1-1-1-21100110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i32-22-20000-1-111-1-111000000000000−i3i3−i3i30000000000
χ2822222222-2-22-1-2-2222-1-1-1-1-12222-1-1-1-2-211-1-1-1-211-1-1-1-1-21100110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-22-22000011-1-111-1-1000000000000i3−i3i3−i30000000000
χ2922222222-2-22-1-2-2222-1-1-1-1-12222-1-1-1-2-211-1-1-1-211-1-1-1-1-21100110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i32-22-20000-1-111-1-111000000000000i3−i3i3−i30000000000
χ3022222222-2-22-1-2-2222-1-1-1-1-12222-1-1-1-2-211-1-1-1-211-1-1-1-1-21100110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-22-22000011-1-111-1-1000000000000−i3i3−i3i30000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-200000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-20000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ332222-2-2-2-2222-1-2-2222-1-1-111-2-2-2-211-122-1-1-1-1-1-2111111-2-1-1001100003−3−3333−3−3−3−3332i−2i−2i2i0000−i−iiiii−i−i000000000000−i3i3i3−i30000000000
χ342222-2-2-2-2222-1-2-2222-1-1-111-2-2-2-211-122-1-1-1-1-1-2111111-2-1-1001100003−3−3333−3−3−3−333−2i2i2i−2i0000ii−i−i−i−iii000000000000i3−i3−i3i30000000000
χ352222-2-2-2-2222-1-2-2222-1-1-111-2-2-2-211-122-1-1-1-1-1-2111111-2-1-100110000−333−3−3−33333−3−32i−2i−2i2i0000−i−iiiii−i−i000000000000i3−i3−i3i30000000000
χ362222-2-2-2-2222-1-2-2222-1-1-111-2-2-2-211-122-1-1-1-1-1-2111111-2-1-100110000−333−3−3−33333−3−3−2i2i2i−2i0000ii−i−i−i−iii000000000000−i3i3i3−i30000000000
χ372222-2-2-2-2-2-22-122222-1-1-111-2-2-2-211-1-2-211-1-1-12-1-111112112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii000000002-200-1-1110000000000
χ382222-2-2-2-2-2-22-122222-1-1-111-2-2-2-211-1-2-211-1-1-12-1-111112112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i00000000-220011-1-10000000000
χ392222-2-2-2-2-2-22-122222-1-1-111-2-2-2-211-1-2-211-1-1-12-1-11111211−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii00000000-220011-1-10000000000
χ402222-2-2-2-2-2-22-122222-1-1-111-2-2-2-211-1-2-211-1-1-12-1-11111211−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i000000002-200-1-1110000000000
χ412222-2-2-2-2-2-2-1222-1-1-1222-2-21111-2-2-111-2-2-1-1-1-1221111-1112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii000022-2-200000000-1-1-1-11111002i−2i0000−i−iii000000
χ422222-2-2-2-2-2-2-1222-1-1-1222-2-21111-2-2-111-2-2-1-1-1-1221111-1112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii0000-2-222000000001111-1-1-1-100−2i2i0000ii−i−i000000
χ432222-2-2-2-2-2-2-1222-1-1-1222-2-21111-2-2-111-2-2-1-1-1-1221111-111−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i000022-2-200000000-1-1-1-1111100−2i2i0000ii−i−i000000
χ442222-2-2-2-2-2-2-1222-1-1-1222-2-21111-2-2-111-2-2-1-1-1-1221111-111−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i0000-2-222000000001111-1-1-1-1002i−2i0000−i−iii000000
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χ472-2-2222-2-2-22222-2-2-222-2-222-2-222-2-22-22-22-2-222-2222-2-2-2-2200-22000000000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ482-2-2222-2-2-22222-2-2-222-2-222-2-222-2-22-22-22-2-222-2222-2-2-2-2200-2200000000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ492-2-2222-2-2-22-122-211-12-2-22211-1-1-2-2-11-1-2211-1-1-22-1-11111-1001-13−33−300003−33−33−33−300002i−2i2i−2i00000000−i−iii−i−iii00000000−i3i3−i3i3000000
χ502-2-2222-2-2-22-122-211-12-2-22211-1-1-2-2-11-1-2211-1-1-22-1-11111-1001-13−33−300003−33−33−33−30000−2i2i−2i2i00000000ii−i−iii−i−i00000000i3−i3i3−i3000000
χ512-2-2222-2-2-22-122-211-12-2-22211-1-1-2-2-11-1-2211-1-1-22-1-11111-1001-1−33−330000−33−33−33−3300002i−2i2i−2i00000000−i−iii−i−iii00000000i3−i3i3−i3000000
χ522-2-2222-2-2-22-122-211-12-2-22211-1-1-2-2-11-1-2211-1-1-22-1-11111-1001-1−33−330000−33−33−33−330000−2i2i−2i2i00000000ii−i−iii−i−i00000000−i3i3−i3i3000000
χ532-2-22-2-2222-2222-2-2-222-2-2-2-222-2-22222-22-2-2-222-22-2-222-22-200-22000000000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
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χ552-2-22-2-2222-2-122-211-12-2-2-2-2-1-11122-1-112-211-1-1-2211-1-11-11001-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i300002i−2i−2i2i00000000−i−iiiii−i−i00000000−333−3000000
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χ582-2-22-2-2222-2-122-211-12-2-2-2-2-1-11122-1-112-211-1-1-2211-1-11-11001-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i30000−2i2i2i−2i00000000ii−i−i−i−iii00000000−333−3000000
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χ694444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212222111-2-2-2-1-1-1-1-2-1-14i−4i11−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ704444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212222111-2-2-2-1-1-1-1-2-1-1−4i4i112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
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χ8044-4-4−4i4i−4i4i00-2400-222-44-4−4i4i2i−2i2i−2i−4i4i-20000-2220002i−2i2i−2i000000000000000000000000000000000000000−66−66i6−i6i6−i6000000000000000000
χ814-44-44i−4i−4i4i004400-44-4-4-444i−4i−4i4i4i−4i−4i4i40000-44-40004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000
χ824-44-44i−4i−4i4i004-200-44-422-2−2i2i−4i4i4i−4i2i−2i-200002-22000−2i2i2i−2i000000000000000000000000000000000−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ1300000000000000000000000000
χ834-44-44i−4i−4i4i004-200-44-422-2−2i2i−4i4i4i−4i2i−2i-200002-22000−2i2i2i−2i0000000000000000000000000000000002ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ1300000000000000000000000000
χ844-44-44i−4i−4i4i00-24002-22-4-444i−4i2i−2i−2i2i−4i4i-200002-22000−2i2i2i−2i000000000000000000000000000000000000000i6−i6−i6i6−666−6000000000000000000
χ854-44-44i−4i−4i4i00-24002-22-4-444i−4i2i−2i−2i2i−4i4i-200002-22000−2i2i2i−2i000000000000000000000000000000000000000−i6i6i6−i66−6−66000000000000000000
χ864-44-4−4i4i4i−4i004400-44-4-4-44−4i4i4i−4i−4i4i4i−4i40000-44-4000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000
χ874-44-4−4i4i4i−4i004-200-44-422-22i−2i4i−4i−4i4i−2i2i-200002-220002i−2i−2i2i0000000000000000000000000000000002ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ2300000000000000000000000000
χ884-44-4−4i4i4i−4i004-200-44-422-22i−2i4i−4i−4i4i−2i2i-200002-220002i−2i−2i2i000000000000000000000000000000000−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ2300000000000000000000000000
χ894-44-4−4i4i4i−4i00-24002-22-4-44−4i4i−2i2i2i−2i4i−4i-200002-220002i−2i−2i2i000000000000000000000000000000000000000i6−i6−i6i66−6−66000000000000000000
χ904-44-4−4i4i4i−4i00-24002-22-4-44−4i4i−2i2i2i−2i4i−4i-200002-220002i−2i−2i2i000000000000000000000000000000000000000−i6i6i6−i6−666−6000000000000000000
χ914-4-4444-4-44-44-2-44-4-44-222-2-2-4-44422-24-4-2222-2-4-22-2-2224-2200-220000000000000000000000000000000000000000000000000000000000
χ924-4-4444-4-44-4-24-4422-24-4-44422-2-2-4-4-2-224-422-224-4-2-222-2-2200-220000000000000000000000000000000000000000000000000000000000
χ934-4-4444-4-44-4-2-2-4422-2-222-2-222-2-2221-22-22-1-112-2211-1-1-21-1001-1000000003i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000000
χ944-4-4444-4-44-4-2-2-4422-2-222-2-222-2-2221-22-22-1-112-2211-1-1-21-1001-100000000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000
χ954-4-4444-4-4-444-24-4-4-44-222-2-2-4-44422-2-442-222-242-2-2-222-42-2002-20000000000000000000000000000000000000000000000000000000000
χ964-4-4444-4-4-44-2-24-422-2-222-2-222-2-22212-22-2-1-11-22-211-1-12-1100-1123−2323−230000−33−33−33−33000000000000000000000000000000000000000000
χ974-4-4444-4-4-44-2-24-422-2-222-2-222-2-22212-22-2-1-11-22-211-1-12-1100-11−2323−232300003−33−33−33−3000000000000000000000000000000000000000000
χ984-4-44-4-4444-44-24-4-4-44-2222244-4-4-2-2-24-4-2222-242-222-2-2-4-22002-20000000000000000000000000000000000000000000000000000000000
χ994-4-44-4-4444-4-2-24-422-2-22222-2-222-2-21-22-22-1-11-22-2-1-11121-100-11−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1004-4-44-4-4444-4-2-24-422-2-22222-2-222-2-21-22-22-1-11-22-2-1-11121-100-112i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1014-4-44-4-444-444-2-44-4-44-2222244-4-4-2-2-2-442-222-2-4-2222-2-242-200-220000000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-444-44-24-4422-24-4-4-4-4-2-22244-22-2-4422-224-422-2-2-22-200-220000000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-444-44-2-2-4422-2-22222-2-222-2-212-22-2-1-112-22-1-111-2-11001-1000000003-3-33-333-3000000000000000000000000000000000000000000
χ1044-4-44-4-444-44-2-2-4422-2-22222-2-222-2-212-22-2-1-112-22-1-111-2-11001-100000000-333-33-3-33000000000000000000000000000000000000000000
χ10588-8-88i−8i8i−8i00-4-400-4444-44−4i4i−4i4i−4i4i−4i4i200002-2-20002i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8−8i8i−8i8i00-4-400-4444-444i−4i4i−4i4i−4i4i−4i200002-2-2000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88i−8i−8i8i00-4-4004-4444-4−4i4i4i−4i−4i4i4i−4i20000-22-20002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8−8i8i8i−8i00-4-4004-4444-44i−4i−4i4i4i−4i−4i4i20000-22-2000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000

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