Finite Group Databasebeta

← Group #11785211

Character table — Group #11785211

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444444448888888824242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
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
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
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
χ91-1-1-1111-11111-1-1111-1-1-1-1-1-11-1-111111-1-1-11-111-111-1-1-1i−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
χ101-1-1-1111-11111-1-1111-1-1-1-1-1-11-1-111111-1-1-11-111-111-1-1-1i−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-1-111-1-11111-1-1-11−ii
χ111-1-1-1111-11111-1-1111-1-1-1-1-1-11-1-111111-1-1-11-111-111-1-1-1i−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-1-11111-1-1-1-111-11−ii
χ121-1-1-1111-11111-1-1111-1-1-1-1-1-11-1-111111-1-1-11-111-111-1-1-1i−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
χ131-1-1-1111-11111-1-1111-1-1-1-1-1-11-1-111111-1-1-11-111-111-1-1-1−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
χ141-1-1-1111-11111-1-1111-1-1-1-1-1-11-1-111111-1-1-11-111-111-1-1-1−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-1-111-1-11111-1-1-11i−i
χ151-1-1-1111-11111-1-1111-1-1-1-1-1-11-1-111111-1-1-11-111-111-1-1-1−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-1-11111-1-1-1-111-11i−i
χ161-1-1-1111-11111-1-1111-1-1-1-1-1-11-1-111111-1-1-11-111-111-1-1-1−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
χ19222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-10000-1-1-1-100000000
χ20222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000111100000000
χ21222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-211-2-211-1-1-1-111111111000022220000-2-2-2-200000000111111110000-1-1-1-100000000
χ22222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-211-2-211-1-1-1-1111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000111100000000
χ2322222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ2422222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000000011110000
χ2522222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-211-2-211-2-2-1-1-1-11111111122220000-2-2-2-20000111111110000000000000000-1-1-1-10000
χ2622222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-211-2-211-2-2-1-1-1-111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000000011110000
χ27222-22-2-2-2222-22-2-2-2-222-222-22-2-2-222-2-222-22-22-222-22-2-200000000002-22-2000000002-22-20000000000000000000000000000000000002-22-20000
χ28222-22-2-2-2222-22-2-2-2-222-222-22-2-2-222-2-222-22-22-222-22-2-200000000002-22-200000000-22-22000000000000000000000000000000000000-22-220000
χ29222-22-2-2-222-22-22-2-2-222-222-22-2-2-222-2-222-22-2-22-2-22-2220000000000-22-220000000000002i−2i2i−2i00000000000000000000000000002i−2i2i−2i00000000
χ30222-22-2-2-222-22-22-2-2-222-222-22-2-2-222-2-222-22-2-22-2-22-2220000000000-22-22000000000000−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i00000000
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χ33222-22-2-2-22-1-22-22-2-2122-2-1-11-1-2112-111-1-11-111-11-22-2-120000−3300−331-11-1−3−333−3−33300002i−2i2i−2i0000000000000000i3i3−i3−i3i3i3−i3−i30000−ii−ii00000000
χ34222-22-2-2-22-1-22-22-2-2122-2-1-11-1-2112-111-1-11-111-11-22-2-120000−3300−331-11-1−3−333−3−3330000−2i2i−2i2i0000000000000000−i3−i3i3i3−i3−i3i3i30000i−ii−i00000000
χ35222-22-2-2-2-122-22-211-2-1-1122-221-2-2-1-111-1-11-112-22-11-1-21003−3003−300-11-113−33−33−33−32-22-200000000000033−3−333−3−30000000000000000-11-110000
χ36222-22-2-2-2-122-22-211-2-1-1122-221-2-2-1-111-1-11-112-22-11-1-21003−3003−300-11-113−33−33−33−3-22-22000000000000−3−333−3−33300000000000000001-11-10000
χ37222-22-2-2-2-122-22-211-2-1-1122-221-2-2-1-111-1-11-112-22-11-1-2100−3300−3300-11-11−33−33−33−332-22-2000000000000−3−333−3−3330000000000000000-11-110000
χ38222-22-2-2-2-122-22-211-2-1-1122-221-2-2-1-111-1-11-112-22-11-1-2100−3300−3300-11-11−33−33−33−33-22-2200000000000033−3−333−3−300000000000000001-11-10000
χ3922-22-22-2-22200002-222-222-22-2-2-2-2-222-22-22-2-2000000000000000000000000000000000000002−22−22−22−22−22−22−22−22−22−22−22−22-22-2000000000000
χ4022-22-22-2-22200002-222-222-22-2-2-2-2-222-22-22-2-2000000000000000000000000000000000000002−22−2−22−222−22−22−22−2−22−22−22−22-22-22000000000000
χ4122-22-22-2-22200002-222-222-22-2-2-2-2-222-22-22-2-200000000000000000000000000000000000000−22−222−22−2−22−22−22−222−22−22−22−2-22-22000000000000
χ4222-22-22-2-22200002-222-222-22-2-2-2-2-222-22-22-2-200000000000000000000000000000000000000−22−22−22−22−22−22−22−22−22−22−22−222-22-2000000000000
χ432-22-2-22-222200002-22-22-2-22-2-222-2-222-2-22-2-2200000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22-2-22000000000000
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χ472-2-222-2-22222-2-22-2-2-2-2-22-2-22222-222-2-2-2-22222-2-22-2-22200000000002-2-22000000002-2-220000000000000000000000000000000000002-2-220000
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χ522-2-222-2-222-1-222-2-2-21-2-2211-1-12-112-11111-1-1-11-1-1-2221-20000−i3i300i3−i31-1-11−i3−i3i3i3i3i3−i3−i30000−2i2i2i−2i000000000000000033−3−3−3−3330000i−i−ii00000000
χ532-2-222-2-222-1-222-2-2-21-2-2211-1-12-112-11111-1-1-11-1-1-2221-20000i3−i300−i3i31-1-11i3i3−i3−i3−i3−i3i3i300002i−2i−2i2i000000000000000033−3−3−3−3330000−iii−i00000000
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χ562-2-222-2-22-122-2-2211-211-1-2-222-12-2-1-11111-1-1-12-2-2-1112-100−i3i300i3−i300-111-1−i3i3−i3i3i3−i3i3−i3-222-2000000000000i3i3−i3−i3−i3−i3i3i300000000000000001-1-110000
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χ612-2-2-2222-22-122-2-222-1-2-2-2111-1-21-12-1-1-1111-11-1-1122-21-22i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii000022-2-200002i2i−2i−2i00000000−i−i−i−iiiii0000-1-11100000000
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χ632-2-2-2222-22-122-2-222-1-2-2-2111-1-21-12-1-1-1111-11-1-1122-21-2−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i000022-2-20000−2i−2i2i2i00000000iiii−i−i−i−i0000-1-11100000000
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χ78444-44-4-4-4-2-24-44-4222-2-22-2-22-2222-21-1-111-11-1-22-2-22-22200−232300−2323001-11-13−33−33−33−3000000000000000000000000000000000000000000000000
χ79444-44-4-4-4-2-2-44-44222-2-22-2-22-2222-21-1-111-11-12-222-22-2-2000023−230023−23-11-11−3−333−3−333000000000000000000000000000000000000000000000000
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χ8444-44-44-4-4-240000-224-22-24-44-42-4-42-2-22-22-22200000000000000000000000000000000000000−2222−222200002−22−22−22−2000000000000000000000000
χ8544-4-4-4-444440000-44-44-4-44-4-4-4444-44-444-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-4-4-4444-20000-4424-4-4-22224-2-2-4-22-2-2222-2000000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000
χ8744-4-4-4-4444-20000-4424-4-4-22224-2-2-4-22-2-2222-2000000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000
χ8844-4-4-4-444-2400002-2-4-2224-4-4-4-2442-22-2-2222-200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000000000
χ8944-4-4-4-444-2400002-2-4-2224-4-4-4-2442-22-2-2222-20000000000000000000000000000000000000000000000−666−6−666−6000000000000000000000000
χ904-444-4-44-4440000-44-4-444-444-4-4-44-44-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ914-444-4-44-44-20000-442-4442-2-22-42-2-4-22-22-2-2220000000000000000000000000000000000000000000000000000006−6−66−666−60000000000000000
χ924-444-4-44-44-20000-442-4442-2-22-42-2-4-22-22-2-222000000000000000000000000000000000000000000000000000000−666−66−6−660000000000000000
χ934-444-4-44-4-2400002-2-42-2-2-444-42-442-22-22-2-2220000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ944-444-4-44-4-2400002-2-42-2-2-444-42-442-22-22-2-2220000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ954-44-4-44-444-200004-4-2-44-42-2224-22-4-2-222-222-2000000000000000000000000000000000000000000−2i22i22i2−2i200000000i2−i2i2−i2−i2i2−i2i20000000000000000
χ964-44-4-44-444-200004-4-2-44-42-2224-22-4-2-222-222-20000000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2i2−i2i2i2−i2i2−i20000000000000000
χ974-44-4-44-44-240000-2242-22-44-4-4-24-42-2-222-222-200000000000000000000000000000000000000−2i22i22i2−2i20000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ984-44-4-44-44-240000-2242-22-44-4-4-24-42-2-222-222-2000000000000000000000000000000000000002i2−2i2−2i22i20000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ994-4-444-4-444-24-4-44-4-42-4-4422-2-24-224-22222-2-2-2-2224-4-4-240000000000-222-200000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44-24-444-422-422-2-4-444-24-4-2-22222-2-2-2-4442-2-2-4200000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1014-4-444-4-44-2-24-4-4422222-222-2-2-2-22-21-1-1-1-1111-222-222-2-200−2i32i3002i3−2i3001-1-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ1024-4-444-4-44-2-24-4-4422222-222-2-2-2-22-21-1-1-1-1111-222-222-2-2002i3−2i300−2i32i3001-1-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ1034-4-444-4-44-2-2-444-422222-222-2-2-2-22-21-1-1-1-11112-2-22-2-2220000−2i32i3002i3−2i3-111-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ1044-4-444-4-44-2-2-444-422222-222-2-2-2-22-21-1-1-1-11112-2-22-2-22200002i3−2i300−2i32i3-111-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ1054-4-4-4444-44-2-4-44444-2-4-4-4222-2-42-24-2-2-2222-2222-2-4-44-24000000000022-2-200000000000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-24-4-444-2-24222-4-4-442-44-2-2-2-2222-22-4-4422-24-2000000000022-2-200000000000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-2-244-4-4-2-2-2222222-222-2-2111-1-1-11-1-2-22-2-22224i−4i−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-2-244-4-4-2-2-2222222-222-2-2111-1-1-11-1-2-22-2-2222−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000000000
χ1094-4-4-4444-4-2-2-4-444-2-2-2222222-222-2-2111-1-1-11-122-222-2-2-20000000000-1-1113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ1104-4-4-4444-4-2-2-4-444-2-2-2222222-222-2-2111-1-1-11-122-222-2-2-20000000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000
χ11188-88-88-8-8-4-40000-44-4-44-4-44-44444422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-4-400004-44-444-4444-4-4-442-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-88-8-4-400004-444-4-44-4-4444-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-88-88-4-40000-44-44-444-444-4-44422-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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