Finite Group Databasebeta

← Group #11789106

Character table — Group #11789106

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444444448888888824242424242424242424242424242424444412121212121212124444
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
χ91-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−ii−ii−i
χ101-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii−ii−ii
χ111-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111ii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-1-111ii−i−i−ii−ii
χ121-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i-1-111−i−iiii−ii−i
χ131-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1ii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1ii−i−ii−i−ii
χ141-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1−i−iii−iii−i
χ151-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-111ii−i−i11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii-1-111ii−i−i−iii−i
χ161-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-111−i−iii11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i-1-111−i−iiii−i−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
χ19222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ20222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000111100000000
χ21222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-211-2-211-1-1-1-11111111122220000-2-2-2-2000011111111000000000000-1-1-1-100000000
χ22222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000111100000000
χ2322222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ2422222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000000011110000
χ2522222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-1-2-211-2-211-2-2-1-1-1-111111111000022220000-2-2-2-2000000001111111100000000-1-1-1-10000
χ2622222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000011110000
χ27222-2-22-2-22222-2-2-22-2-222-2-222-2-2-222-222-2-22-22-2222-2-2-200000000002-22-20000000000002-22-2000000000000000000000000000000002-22-20000
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χ29222-2-22-2-222-2-222-22-2-222-2-222-2-2-222-222-2-22-2-22-2-2-22220000000000-22-22000000002i−2i2i−2i000000000000000000000000000000002i−2i2i−2i00000000
χ30222-2-22-2-222-2-222-22-2-222-2-222-2-2-222-222-2-22-2-22-2-2-22220000000000-22-2200000000−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i00000000
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χ35222-2-22-2-2-1222-2-21-11122-2-2-121-2-2-1-11-1-111-11-112-12-2-21003−3003−300-11-113−33−33−33−300002-22-2000000000000000033−3−333−3−300000000-11-110000
χ36222-2-22-2-2-1222-2-21-11122-2-2-121-2-2-1-11-1-111-11-112-12-2-21003−3003−300-11-113−33−33−33−30000-22-220000000000000000−3−333−3−333000000001-11-10000
χ37222-2-22-2-2-1222-2-21-11122-2-2-121-2-2-1-11-1-111-11-112-12-2-2100−3300−3300-11-11−33−33−33−3300002-22-20000000000000000−3−333−3−33300000000-11-110000
χ38222-2-22-2-2-1222-2-21-11122-2-2-121-2-2-1-11-1-111-11-112-12-2-2100−3300−3300-11-11−33−33−33−330000-22-22000000000000000033−3−333−3−3000000001-11-10000
χ3922-22-2-2-22220000-222-22-22-2-2-222-2-22-22-22-2-2200000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-2000000000000
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χ452-2222-2-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-22-222-1-1-2-211-1-111-1-1-1-1111122-2-2000022-2-20000-1-1-1-11111000000000000-1-11100000000
χ462-2222-2-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-22-222-1-1-2-211-1-111-1-1-1-11111-2-2220000-2-22200001111-1-1-1-100000000000011-1-100000000
χ472-2222-2-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-2-22-2-21122-1-1-1-1111111-1-1-1-122-2-20000-2-22200001111-1-1-1-1000000000000-1-11100000000
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χ492-2222-2-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-2212-2-1-12211-2-2-1-111-1-1-1-1111100002i2i−2i−2i00002i2i−2i−2i00000000−i−i−i−iiiii00000000−i−iii0000
χ502-2222-2-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-2212-2-1-12211-2-2-1-111-1-1-1-111110000−2i−2i2i2i0000−2i−2i2i2i00000000iiii−i−i−i−i00000000ii−i−i0000
χ512-2222-2-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-221-2211-2-2-1-122-1-1111111-1-1-1-100002i2i−2i−2i0000−2i−2i2i2i00000000iiii−i−i−i−i00000000−i−iii0000
χ522-2222-2-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-221-2211-2-2-1-122-1-1111111-1-1-1-10000−2i−2i2i2i00002i2i−2i−2i00000000−i−i−i−iiiii00000000ii−i−i0000
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χ79444-4-44-4-4-2-2-4-4442-222-2-222-2-2222-21-111-1-11-12-2222-2-2-2000023−230023−23-11-11−3−333−3−333000000000000000000000000000000000000000000000000
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χ8444-44-4-4-44-2400002-2-224-44-42-4-24-42-22-22-222-20000000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i20000000000000000
χ8544-4-44-44-444000044-444-4-44-4-4-4-44-4444-4-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-44-44-44-2000044-44-222-2-42-42-2-4-2-2-222-22200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000000000
χ8744-4-44-44-44-2000044-44-222-2-42-42-2-4-2-2-222-2220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000000000
χ8844-4-44-44-4-240000-2-22-24-4-442-42-442-2-2-222-222000000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000
χ8944-4-44-44-4-240000-2-22-24-4-442-42-442-2-2-222-222000000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000
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χ914-4444-4-4-4-24-44-44-2222-4-4-4-4-24-2442-2-22222-2-222-4-244-4-2000000000022-2-200000000000000000000000000000000000000000000000000000000
χ924-4444-4-4-4-2-24-44-4-22222222-2-2-2-2-2211-1-1-1-111-2-2-2222-224-4-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000000000000000000
χ934-4444-4-4-4-2-24-44-4-22222222-2-2-2-2-2211-1-1-1-111-2-2-2222-22-442222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000000000000
χ944-4444-4-4-4-2-2-44-44-22222222-2-2-2-2-2211-1-1-1-111222-2-2-22-20000000000-1-1113-3-33-333-3000000000000000000000000000000000000000000000000
χ954-4444-4-4-4-2-2-44-44-22222222-2-2-2-2-2211-1-1-1-111222-2-2-22-20000000000-1-111-333-33-3-33000000000000000000000000000000000000000000000000
χ964-44-4-4-4444-24-4-44-4-44422-2-24-2-422-4-2222-2-2-224-4-2-42-2240000000000-222-200000000000000000000000000000000000000000000000000000000
χ974-44-4-4-444-24-444-422-2-2-4-444-242-4-42-2222-2-2-222-2-4-24-44200000000002-2-2200000000000000000000000000000000000000000000000000000000
χ984-44-4-4-444-2-24-4-4422-2-222-2-2-2-222221-1-1-1111-1-22-222-22-20023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000000000
χ994-44-4-4-444-2-24-4-4422-2-222-2-2-2-222221-1-1-1111-1-22-222-22-200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000000000
χ1004-44-4-4-444-2-2-444-422-2-222-2-2-2-222221-1-1-1111-12-22-2-22-22000023−2300−2323-111-1−3−33333−3−3000000000000000000000000000000000000000000000000
χ1014-44-4-4-444-2-2-444-422-2-222-2-2-2-222221-1-1-1111-12-22-2-22-220000−23230023−23-111-133−3−3−3−333000000000000000000000000000000000000000000000000
χ1024-4-44-444-44-20000-4-4-442-22-2-424-224-222-22-22-200000000000000000000000000000000000000−2i22i22i2−2i20000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ1034-4-44-444-44-20000-4-4-442-22-2-424-224-222-22-22-2000000000000000000000000000000000000002i2−2i2−2i22i20000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ1044-4-44-444-4-240000222-2-44-442-4-24-4-2-222-22-22-200000000000000000000000000000000000000000022−22−222200000000−22−222−22−20000000000000000
χ1054-4-44-444-4-240000222-2-44-442-4-24-4-2-222-22-22-2000000000000000000000000000000000000000000−222222−22000000002−22−2−22−220000000000000000
χ1064-4-4-444-444400004-44-4-444-4-4-4-4-44444-444-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-444-444-200004-44-42-2-22-42-42-24-2-22-2-222200000000000000000000000000000000000000000000006−6−66−666−6000000000000000000000000
χ1084-4-4-444-444-200004-44-42-2-22-42-42-24-2-22-2-22220000000000000000000000000000000000000000000000−666−66−6−66000000000000000000000000
χ1094-4-4-444-44-240000-22-22-444-42-42-44-2-2-22-2-22220000000000000000000000000000000000000000000000000000006−6−66−666−60000000000000000
χ1104-4-4-444-44-240000-22-22-444-42-42-44-2-2-22-2-2222000000000000000000000000000000000000000000000000000000−666−66−6−660000000000000000
χ11188-88-8-8-88-4-400004-4-44-44-4444-4-4442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-88-8-4-40000-4-44-4-444-44444-44222-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-888-8-4-40000444-44-44-444-4-44-42-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-888-88-4-40000-44-444-4-444444-4-422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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