Finite Group Databasebeta

← Group #11785789

Character table — Group #11785789

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444444448888888824242424242424242424242424242424222212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ911-1-1-111-11111-1-111-1-1-1-1-1-111-1-111111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-11-1i−i
χ1011-1-1-111-11111-1-111-1-1-1-1-1-111-1-111111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111-11−ii
χ1111-1-1-111-11111-1-111-1-1-1-1-1-111-1-111111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1-11−ii
χ1211-1-1-111-11111-1-111-1-1-1-1-1-111-1-111111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-1111-1i−i
χ1311-1-1-111-11111-1-111-1-1-1-1-1-111-1-111111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-11-1−ii
χ1411-1-1-111-11111-1-111-1-1-1-1-1-111-1-111111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111-11i−i
χ1511-1-1-111-11111-1-111-1-1-1-1-1-111-1-111111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1-11i−i
χ1611-1-1-111-11111-1-111-1-1-1-1-1-111-1-111111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-1111-1−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000222200000000-2-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000-2-2-2-2000000002200
χ19222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-122-1-12-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ20222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-122-1-12-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000000011110000
χ21222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-122-1-12-12-1-2-2-2-211-2-211-1-1-1-111111111000022220000-2-2-2-2000000001111111100000000-1-1-1-10000
χ22222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-122-1-12-12-1-2-2-2-211-2-211-1-1-1-1111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000011110000
χ2322222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-1-1-122-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ2422222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-1-1-122-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000111100000000
χ2522222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-1-1-122-12-12-2-211-2-211-2-2-1-1-1-11111111122220000-2-2-2-2000011111111000000000000-1-1-1-100000000
χ2622222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-1-1-122-12-12-2-211-2-211-2-2-1-1-1-111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000111100000000
χ272222-2-2-2-22200002222-222-2-2-2-2-2-2-222-222-2-2-2000000000000000000000000000000000000002−22−22−22−222−2−222−2−222−2−222−2−22-22-2000000000000
χ282222-2-2-2-22200002222-222-2-2-2-2-2-2-222-222-2-2-2000000000000000000000000000000000000002−22−2−22−2222−2−222−2−2−2−222−2−222-22-22000000000000
χ292222-2-2-2-22200002222-222-2-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000−22−222−22−2−2−222−2−22222−2−222−2−2-22-22000000000000
χ302222-2-2-2-22200002222-222-2-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000−22−22−22−22−2−222−2−222−2−222−2−2222-22-2000000000000
χ3122-2-22-2-2222000022-2-22-2-22-2-222-2-222-2-2-22-2200000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22-2-22000000000000
χ3222-2-22-2-2222000022-2-22-2-22-2-222-2-222-2-2-22-2200000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-222-2000000000000
χ3322-2-22-2-2222000022-2-22-2-22-2-222-2-222-2-2-22-2200000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-222-2000000000000
χ3422-2-22-2-2222000022-2-22-2-22-2-222-2-222-2-2-22-2200000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-2-22000000000000
χ3522-2-2-222-222-2-22222-2-2-2-2-2-222-2-222222-2-2-22-2-2-2-2-222220000000000-2-222000000000000000000000000000000000000000022-2-200000000-2200
χ3622-2-2-222-222-2-22222-2-2-2-2-2-222-2-222222-2-2-22-2-2-2-2-222220000000000-2-2220000000000000000000000000000000000000000-2-222000000002-200
χ3722-2-2-222-22-122-2-22-1-2-2-21112-1-212-1-1-1-1111-1122-1-1-21-212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii000022-2-200002i2i−2i−2i00000000−i−i−i−iiiii00000000-1-1110000
χ3822-2-2-222-22-122-2-22-1-2-2-21112-1-212-1-1-1-1111-1122-1-1-21-212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii0000-2-2220000−2i−2i2i2i00000000iiii−i−i−i−i0000000011-1-10000
χ3922-2-2-222-22-122-2-22-1-2-2-21112-1-212-1-1-1-1111-1122-1-1-21-21−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i000022-2-20000−2i−2i2i2i00000000iiii−i−i−i−i00000000-1-1110000
χ4022-2-2-222-22-122-2-22-1-2-2-21112-1-212-1-1-1-1111-1122-1-1-21-21−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i0000-2-22200002i2i−2i−2i00000000−i−i−i−iiiii0000000011-1-10000
χ4122-2-2-222-2-1222-2-2-12111-2-2-2-121-2-12-1-1-1111-11-1-1221-21-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii22-2-200002i2i−2i−2i0000−i−i−i−iiiii000000000000-1-11100000000
χ4222-2-2-222-2-1222-2-2-12111-2-2-2-121-2-12-1-1-1111-11-1-1221-21-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii-2-2220000−2i−2i2i2i0000iiii−i−i−i−i00000000000011-1-100000000
χ4322-2-2-222-2-1222-2-2-12111-2-2-2-121-2-12-1-1-1111-11-1-1221-21-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i22-2-20000−2i−2i2i2i0000iiii−i−i−i−i000000000000-1-11100000000
χ4422-2-2-222-2-1222-2-2-12111-2-2-2-121-2-12-1-1-1111-11-1-1221-21-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i-2-22200002i2i−2i−2i0000−i−i−i−iiiii00000000000011-1-100000000
χ452-22-222-2-2222-22-2-2-22-2-22-2-22222-2-22-2-22-2-2222-22-22-2-2200000000002-22-2000000002i−2i2i−2i000000000000000000000000000000002i−2i2i−2i00000000
χ462-22-222-2-2222-22-2-2-22-2-22-2-22222-2-22-2-22-2-2222-22-22-2-2200000000002-22-200000000−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i00000000
χ472-22-222-2-222-22-22-2-22-2-22-2-22222-2-22-2-22-2-222-22-22-222-20000000000-22-220000000000002i−2i2i−2i000000000000000000000000000000002i−2i2i−2i0000
χ482-22-222-2-222-22-22-2-22-2-22-2-22222-2-22-2-22-2-222-22-22-222-20000000000-22-22000000000000−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i0000
χ492-22-222-2-22-1-22-22-212-2-2-1112-12-1-21-111-111-1-1-221-1-2-1210000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i00000000000000003−33−33−33−300000000−ii−ii0000
χ502-22-222-2-22-1-22-22-212-2-2-1112-12-1-21-111-111-1-1-221-1-2-1210000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i0000000000000000−33−33−33−3300000000i−ii−i0000
χ512-22-222-2-22-1-22-22-212-2-2-1112-12-1-21-111-111-1-1-221-1-2-1210000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i0000000000000000−33−33−33−3300000000−ii−ii0000
χ522-22-222-2-22-1-22-22-212-2-2-1112-12-1-21-111-111-1-1-221-1-2-1210000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i00000000000000003−33−33−33−300000000i−ii−i0000
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χ552-22-222-2-2-122-22-21-2-1112-2-2-12-121-2-111-111-1-1-112-2-1-21200i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i32i−2i2i−2i000000000000−33−33−33−33000000000000−ii−ii00000000
χ562-22-222-2-2-122-22-21-2-1112-2-2-12-121-2-111-111-1-1-112-2-1-21200i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i3−2i2i−2i2i0000000000003−33−33−33−3000000000000i−ii−i00000000
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χ612-2-22-22-222-1-222-2-21-2221-1-12-1-21-21-1111-1-1-11-221-121-2-100003−300−331-1-1133−3−3−3−33300002i−2i−2i2i0000000000000000i3−i3i3−i3−i3i3−i3i300000000−iii−i0000
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χ672-2-22-22-22-122-2-221-21-1-1-222-121-21-2-1111-1-1-11-112-212-1-200−33003−300-111-1−33−333−33−32i−2i−2i2i000000000000−i3i3−i3i3i3−i3i3−i3000000000000−iii−i00000000
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χ8644-4-4-444-4-2-244-4-4-2-2222222-2-222-2-2111-1-1-11-1-2-2-2-22222−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000000000
χ8744-4-4-444-4-2-2-4-444-2-2222222-2-222-2-2111-1-1-11-12222-2-2-2-20000000000-1-1113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ8844-4-4-444-4-2-2-4-444-2-2222222-2-222-2-2111-1-1-11-12222-2-2-2-20000000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000
χ894-44-444-4-44-24-44-4-424-4-4-2224-24-2-42-222-222-2-24-4-2242-4-20000000000-22-2200000000000000000000000000000000000000000000000000000000
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χ924-44-444-4-4-2-24-44-422-222-222-2-2-2-2221-1-11-1-111-22-22-222-2002i3−2i3002i3−2i3001-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ934-44-444-4-4-2-2-44-4422-222-222-2-2-2-2221-1-11-1-1112-22-22-2-220000−2i32i300−2i32i3-11-11i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ944-44-444-4-4-2-2-44-4422-222-222-2-2-2-2221-1-11-1-1112-22-22-2-2200002i3−2i3002i3−2i3-11-11−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ954-44-4-4-444440000-4-44-444-44-4-4-4-4444-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-4-4444-20000-424-44-22-2-42-424-2-22-2-22-2220000000000000000000000000000000000000000000000000000006−6−666−6−660000000000000000
χ974-44-4-4-4444-20000-424-44-22-2-42-424-2-22-2-22-222000000000000000000000000000000000000000000000000000000−666−6−666−60000000000000000
χ984-44-4-4-444-2400002-4-22-24-442-42-4-24-22-2-22-22200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000000000
χ994-44-4-4-444-2400002-4-22-24-442-42-4-24-22-2-22-2220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000000000
χ1004-4-444-44-4440000-4-4-44-4-44-4-4-444444-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-444-44-44-20000-42-44-42-22-424-24-2-22-22-222-2000000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000
χ1024-4-444-44-44-20000-42-44-42-22-424-24-2-22-22-222-2000000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000
χ1034-4-444-44-4-2400002-42-22-44-42-4-24-24-22-22-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ1044-4-444-44-4-2400002-42-22-44-42-4-24-24-22-22-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
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χ1064-4-44-44-44-24-444-42-42-2-2-444-242-42-4-2222-2-2-222-2-44-2-42400000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1074-4-44-44-44-2-24-4-44222-2-22-2-2-2-222221-1-1-1111-1-22-222-2-220023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000000000
χ1084-4-44-44-44-2-24-4-44222-2-22-2-2-2-222221-1-1-1111-1-22-222-2-2200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000000000
χ1094-4-44-44-44-2-2-444-4222-2-22-2-2-2-222221-1-1-1111-12-22-2-222-2000023−2300−2323-111-1−3−33333−3−3000000000000000000000000000000000000000000000000
χ1104-4-44-44-44-2-2-444-4222-2-22-2-2-2-222221-1-1-1111-12-22-2-222-20000−23230023−23-111-133−3−3−3−333000000000000000000000000000000000000000000000000
χ1118888-8-8-8-8-4-40000-4-4-4-44-4-4444444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-8-88-4-40000-4-444-444-444-4-44422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-8-888-4-4000044-44-4-44-44444-4-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-888-88-8-4-40000444-444-4444-4-4-4-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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