Finite Group Databasebeta

← Group #11786007

Character table — Group #11786007

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212128888446612121212121212121212121212121212121288888824242424242424244488121212122424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ91111-1-1111-11-111-1-111-1-111111-1-1-11-1-11-1-111-1-11-11111i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i11-1-1-1-11111-1-1-1-1i−ii−iii−i−i11-1-1ii−i−i11-1-1i−i
χ101111-1-1111-11-111-1-111-1-111111-1-1-11-1-11-1-111-1-11-11111i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-1-111-1-11111-1-1-1-1i−i−iiii−i−i-1-111−i−iii-1-111−ii
χ111111-1-1111-11-111-1-111-1-111111-1-1-11-1-11-1-111-1-11-11111−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii11-1-1-1-11111-1-1-1-1−ii−ii−i−iii11-1-1−i−iii11-1-1−ii
χ121111-1-1111-11-111-1-111-1-111111-1-1-11-1-11-1-111-1-11-11111−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-1-111-1-11111-1-1-1-1−iii−i−i−iii-1-111ii−i−i-1-111i−i
χ131111-1-1111-11-111-1-111-1-111111-1-1-11-1-11-1-111-1-11-1-1-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i11-1-111-1-1-1-11111−iii−i−i−iii11-1-1ii−i−i-1-111−ii
χ141111-1-1111-11-111-1-111-1-111111-1-1-11-1-11-1-111-1-11-1-1-1-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-1-11111-1-1-1-11111−ii−ii−i−iii-1-111−i−iii11-1-1i−i
χ151111-1-1111-11-111-1-111-1-111111-1-1-11-1-11-1-111-1-11-1-1-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii11-1-111-1-1-1-11111i−i−iiii−i−i11-1-1−i−iii-1-111i−i
χ161111-1-1111-11-111-1-111-1-111111-1-1-11-1-11-1-111-1-11-1-1-1-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-1-11111-1-1-1-11111i−ii−iii−i−i-1-111ii−i−i11-1-1−ii
χ1722222222-12222-1222222-1-1-12-12-1-1-1-1-1-12-1-1-1-1-12-1000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000220000-1-1-1-1-1-1-1-1000000
χ1822222222-12222-1222222-1-1-12-12-1-1-1-1-1-12-1-1-1-1-12-1000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-2000011111111000000
χ1922222222-12222-1222222-1-1-12-12-1-1-1-1-1-12-1-1-1-1-12-10000-2-2-1-1-2-2-2-2-1-11111111111112222000000000000-2-20000-1-1-1-11111000000
χ2022222222-12222-1222222-1-1-12-12-1-1-1-1-1-12-1-1-1-1-12-10000-2-2-1-1-2-2-2-2-1-1111111111111-2-2-2-20000000000002200001111-1-1-1-1000000
χ212222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-12-12-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ222222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-12-12-1-1-1-1-122222-2-2-1-11111-1-1-2-21111-2-21111000022-1-1-1-1-1-1-1-1-2-200111100000000000000
χ232222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-12-12-1-1-1-1-12-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-211111111-2-200111100000000000000
χ242222222-12222-12-1-1-1-1-1-122-1-12-122-1-1-12-12-1-1-1-1-12-2-2-2-2-2-2-1-11111-1-1-2-21111-2-211110000-2-2111111112200-1-1-1-100000000000000
χ2522222-2-222-2-2222-2-222-2-2222-2-222-22-2-2-22-222-2-2-22000000-220000-220000000000000000000000000000000000000000002i−2i2i−2i00
χ2622222-2-222-2-2222-2-222-2-2222-2-222-22-2-2-22-222-2-2-22000000-220000-22000000000000000000000000000000000000000000−2i2i−2i2i00
χ272222-22-2222-2-222222222222-2-2-2-22222-2-222222-2-2000000-2-20000-2-20000000000000000000000000000000000000000002i−2i−2i2i00
χ282222-22-2222-2-222222222222-2-2-2-22222-2-222222-2-2000000-2-20000-2-2000000000000000000000000000000000000000000−2i2i2i−2i00
χ292222-2-222-1-22-22-1-2-222-2-2-1-1-12-1-211-111-1-21-1-1112100002i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii22-2-20000000000002i−2i0000-1-111−i−iii000000
χ302222-2-222-1-22-22-1-2-222-2-2-1-1-12-1-211-111-1-21-1-1112100002i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii-2-222000000000000−2i2i000011-1-1ii−i−i000000
χ312222-2-222-1-22-22-1-2-222-2-2-1-1-12-1-211-111-1-21-1-111210000−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i22-2-2000000000000−2i2i0000-1-111ii−i−i000000
χ322222-2-222-1-22-22-1-2-222-2-2-1-1-12-1-211-111-1-21-1-111210000−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i-2-2220000000000002i−2i000011-1-1−i−iii000000
χ332222-2-22-12-22-2-1211-1-11122-1-121-2-2-11121-2-1-111-1-222222i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii0000-2-2-1-1-1-111112i−2i00−i−iii00000000000000
χ342222-2-22-12-22-2-1211-1-11122-1-121-2-2-11121-2-1-111-1-22222−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i0000-2-2-1-1-1-11111−2i2i00ii−i−i00000000000000
χ352222-2-22-12-22-2-1211-1-11122-1-121-2-2-11121-2-1-111-1-2-2-2-2-22i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii0000221111-1-1-1-1−2i2i00ii−i−i00000000000000
χ362222-2-22-12-22-2-1211-1-11122-1-121-2-2-11121-2-1-111-1-2-2-2-2-2−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i0000221111-1-1-1-12i−2i00−i−iii00000000000000
χ3722-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2000000220000-2-20000000000002i−2i2i−2i0000000000000000002i−2i2i−2i0000000000
χ3822-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2000000220000-2-2000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000
χ3922-2-22222-1-2-2-22-122-2-2-2-211-12-12-1-1-1-1-11-211111-21000000-1-1000011−i3i3−i3−i3i3i3−i3i3−i3−i3i3i32i−2i2i−2i000000000000000000−ii−ii3−33−3000000
χ4022-2-22222-1-2-2-22-122-2-2-2-211-12-12-1-1-1-1-11-211111-21000000-1-1000011−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−2i2i−2i2i000000000000000000i−ii−i−33−33000000
χ4122-2-22222-1-2-2-22-122-2-2-2-211-12-12-1-1-1-1-11-211111-21000000-1-1000011i3−i3i3i3−i3−i3i3−i3i3i3−i3−i32i−2i2i−2i000000000000000000−ii−ii−33−33000000
χ4222-2-22222-1-2-2-22-122-2-2-2-211-12-12-1-1-1-1-11-211111-21000000-1-1000011i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3−2i2i−2i2i000000000000000000i−ii−i3−33−3000000
χ4322-2-22-2-22222-222-2-2-2-222-2-22-2-222-22-2-22-22-2-2222-222-2-200-2200002-200000000000000002-222-2-222-2-20000000000000000000000
χ4422-2-22-2-22222-222-2-2-2-222-2-22-2-222-22-2-22-22-2-2222-2-2-22200-2200002-20000000000000000-22-2-222-2-2220000000000000000000000
χ4522-2-22-2-2-1222-2-121111-1-1-2-2-11-2-12-2-11121211-1-1-1-222-2-2001-13−33−3-11003−33−3003−33−300002-2-1-111-1-11100003−33−300000000000000
χ4622-2-22-2-2-1222-2-121111-1-1-2-2-11-2-12-2-11121211-1-1-1-222-2-2001-1−33−33-1100−33−3300−33−3300002-2-1-111-1-1110000−33−3300000000000000
χ4722-2-22-2-2-1222-2-121111-1-1-2-2-11-2-12-2-11121211-1-1-1-2-2-222001-13−33−3-11003−33−3003−33−30000-2211-1-111-1-10000−33−3300000000000000
χ4822-2-22-2-2-1222-2-121111-1-1-2-2-11-2-12-2-11121211-1-1-1-2-2-222001-1−33−33-1100−33−3300−33−330000-2211-1-111-1-100003−33−300000000000000
χ4922-2-2-22-222-2222222-2-2-2-2-2-22-2-2-2-2222222-2-2-2-2-22222-2-200-2-20000220000000000000000-2222-2-2-2-2220000000000000000000000
χ5022-2-2-22-222-2222222-2-2-2-2-2-22-2-2-2-2222222-2-2-2-2-222-2-22200-2-200002200000000000000002-2-2-22222-2-20000000000000000000000
χ5122-2-2-22-2-12-222-12-1-11111-2-2-11-21-22-1-1-12-1-21111-1222-2-20011−i3i3i3−i3-1-100−i3i3−i3i300i3−i3i3−i30000-22-1-11111-1-10000−i3i3i3−i300000000000000
χ5222-2-2-22-2-12-222-12-1-11111-2-2-11-21-22-1-1-12-1-21111-1222-2-20011i3−i3−i3i3-1-100i3−i3i3−i300−i3i3−i3i30000-22-1-11111-1-10000i3−i3−i3i300000000000000
χ5322-2-2-22-2-12-222-12-1-11111-2-2-11-21-22-1-1-12-1-21111-12-2-2220011−i3i3i3−i3-1-100−i3i3−i3i300i3−i3i3−i300002-211-1-1-1-1110000i3−i3−i3i300000000000000
χ5422-2-2-22-2-12-222-12-1-11111-2-2-11-21-22-1-1-12-1-21111-12-2-2220011i3−i3−i3i3-1-100i3−i3i3−i300−i3i3−i3i300002-211-1-1-1-1110000−i3i3i3−i300000000000000
χ5522-2-2-2-22222-2222-2-2-2-222-2-2222-2-2-22-2-2-222-2-222-220000002-20000-220000000000002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000
χ5622-2-2-2-22222-2222-2-2-2-222-2-2222-2-2-22-2-2-222-2-222-220000002-20000-22000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000
χ5722-2-2-2-222-12-222-1-2-2-2-22211-12-1-211-11112-111-1-1-2-1000000-1100001-13−333−3−3−33−3−3332i−2i−2i2i000000000000000000−iii−ii3−i3−i3i3000000
χ5822-2-2-2-222-12-222-1-2-2-2-22211-12-1-211-11112-111-1-1-2-1000000-1100001-13−333−3−3−33−3−333−2i2i2i−2i000000000000000000i−i−ii−i3i3i3−i3000000
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χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-21111-2-200004411-2-2-2-211-2-21111-2-21111000000000000000000000000000000000000
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χ904-44i−4i000-240002-42i3−2i3−2i2i−23234i−4i-20000022i3−2i3000−2i2i−232300−22222i2−2i200000000000000000000000000002−2−i2i26−6i6−i60000000000000000000000
χ914-4−4i4i00044000-4-400−4i4i00−4i4i400000-400000−4i4i000022−222i2−2i2000000000000000000000000000022−222i2−2i200000000000000000000000000
χ924-4−4i4i00044000-4-400−4i4i00−4i4i400000-400000−4i4i0000−2222−2i22i20000000000000000000000000000−2222−2i22i200000000000000000000000000
χ934-4−4i4i000-240002-4−2i32i32i−2i−2323−4i4i-2000002−2i32i30002i−2i−23230022−222i2−2i20000000000000000000000000000−22−i2i2−66i6−i60000000000000000000000
χ944-4−4i4i000-240002-4−2i32i32i−2i−2323−4i4i-2000002−2i32i30002i−2i−232300−2222−2i22i200000000000000000000000000002−2i2−i26−6−i6i60000000000000000000000
χ954-4−4i4i000-240002-42i3−2i32i−2i23−23−4i4i-20000022i3−2i30002i−2i23−230022−222i2−2i20000000000000000000000000000−22−i2i26−6−i6i60000000000000000000000
χ964-4−4i4i000-240002-42i3−2i32i−2i23−23−4i4i-20000022i3−2i30002i−2i23−2300−2222−2i22i200000000000000000000000000002−2i2−i2−66i6−i60000000000000000000000
χ978-88i−8i0008-4000-84008i−8i00−4i4i-400000400000−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-400044−4i34i3−4i4i43−43−4i4i200000-22i3−2i30002i−2i−23230000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-4000444i3−4i3−4i4i−4343−4i4i200000-2−2i32i30002i−2i23−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-4000-8400−8i8i004i−4i-4000004000004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-400044−4i34i34i−4i−43434i−4i200000-22i3−2i3000−2i2i23−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-4000444i3−4i34i−4i43−434i−4i200000-2−2i32i3000−2i2i−23230000000000000000000000000000000000000000000000000000000000000000

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