Finite Group Databasebeta

← Group #11791668

Character table — Group #11791668

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
χ91-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i1-11-1
χ101-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−iii-11-11
χ111-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiii−i−i-11-11
χ121-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii1-11-1
χ131-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−iii−i−i1-1-11
χ141-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii-111-1
χ151-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i-111-1
χ161-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii−i−iii1-1-11
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
χ2722-222-2-2-2222-22-2-2-222-22-2-222-2-2-222-222-2-22-22-22-222-2-200000000002-22-20000000000002-22-2000000000000000000000000000000002-22-20000
χ2822-222-2-2-2222-22-2-2-222-22-2-222-2-2-222-222-2-22-22-22-222-2-200000000002-22-2000000000000-22-2200000000000000000000000000000000-22-220000
χ2922-222-2-2-222-22-22-2-222-22-2-222-2-2-222-222-2-22-2-22-22-2-2220000000000-22-22000000002i−2i2i−2i000000000000000000000000000000002i−2i2i−2i00000000
χ3022-222-2-2-222-22-22-2-222-22-2-222-2-2-222-222-2-22-2-22-22-2-2220000000000-22-2200000000−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i00000000
χ3122-222-2-2-22-12-22-2-2122-2-1112-1-21-2-1-11-1-111-112-2-112-1-2100003−3003−3-11-1133−3−333−3−300002-22-2000000000000000033−3−333−3−300000000-11-110000
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χ3322-222-2-2-22-12-22-2-2122-2-1112-1-21-2-1-11-1-111-112-2-112-1-210000−3300−33-11-11−3−333−3−33300002-22-20000000000000000−3−333−3−33300000000-11-110000
χ3422-222-2-2-22-12-22-2-2122-2-1112-1-21-2-1-11-1-111-112-2-112-1-210000−3300−33-11-11−3−333−3−3330000-22-22000000000000000033−3−333−3−3000000001-11-10000
χ3522-222-2-2-2-12-22-221-2-1-112-2-2-121-212-11-1-111-111-1-221-2-12003−3003−3001-11-13−33−33−33−32i−2i2i−2i000000000000−i3−i3i3i3−i3−i3i3i3000000000000−ii−ii00000000
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χ3722-222-2-2-2-12-22-221-2-1-112-2-2-121-212-11-1-111-111-1-221-2-1200−3300−33001-11-1−33−33−33−332i−2i2i−2i000000000000i3i3−i3−i3i3i3−i3−i3000000000000−ii−ii00000000
χ3822-222-2-2-2-12-22-221-2-1-112-2-2-121-212-11-1-111-111-1-221-2-1200−3300−33001-11-1−33−33−33−33−2i2i−2i2i000000000000−i3−i3i3i3−i3−i3i3i3000000000000i−ii−i00000000
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χ442-222-22-2-2222-2-22-2-2-2-22-22222-2-22-22-2-2-2222-22-22-2-2-22200000000002-2-22000000000000−2i2i2i−2i00000000000000000000000000000000−2i2i2i−2i0000
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χ472-222-22-2-22-12-2-22-21-2-221-1-12-1-2121-1111-1-1-112-2-11-212-100003−300−33-111-133−3−3−3−33300002i−2i−2i2i0000000000000000i3i3−i3−i3−i3−i3i3i300000000−iii−i0000
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χ512-222-22-2-2-12-222-21-211-1-222-121-2-1-2-1111-1-1-111-1-22-121-2003−300−33001-1-113−33−3−33−332-2-22000000000000−3−33333−3−3000000000000-111-100000000
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χ532-222-22-2-2-12-222-21-211-1-222-121-2-1-2-1111-1-1-111-1-22-121-200−33003−3001-1-11−33−333−33−32-2-2200000000000033−3−3−3−333000000000000-111-100000000
χ542-222-22-2-2-12-222-21-211-1-222-121-2-1-2-1111-1-1-111-1-22-121-200−33003−3001-1-11−33−333−33−3-222-2000000000000−3−33333−3−30000000000001-1-1100000000
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χ8744-4-4-44-444-200004-24-4-4-2-22-42-4242-2-2-22-2222000000000000000000000000000000000000000000−2222−2222000000002−22−22−22−20000000000000000
χ8844-4-4-44-44-240000-24-22244-42-42-4-2-4-2-2-22-222200000000000000000000000000000000000000−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ8944-4-4-44-44-240000-24-22244-42-42-4-2-4-2-2-22-2222000000000000000000000000000000000000002i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ904-444-44-4-44-2-444-4-42-4-442-2-24-2-4242-2222-2-2-22-442-24-2-4200000000002-2-2200000000000000000000000000000000000000000000000000000000
χ914-444-44-4-4-244-4-442-422-2-444-242-4-2-4-2222-2-2-22-224-42-4-240000000000-222-200000000000000000000000000000000000000000000000000000000
χ924-444-44-4-4-2-24-4-442222-22-2-2-2-222-221-1-1-1111-1-22-2222-2-2000023−2300−23231-1-11−3−33333−3−3000000000000000000000000000000000000000000000000
χ934-444-44-4-4-2-24-4-442222-22-2-2-2-222-221-1-1-1111-1-22-2222-2-20000−23230023−231-1-1133−3−3−3−333000000000000000000000000000000000000000000000000
χ944-444-44-4-4-2-2-444-42222-22-2-2-2-222-221-1-1-1111-12-22-2-2-2220023−2300−232300-111-1−33−333−33−3000000000000000000000000000000000000000000000000
χ954-444-44-4-4-2-2-444-42222-22-2-2-2-222-221-1-1-1111-12-22-2-2-22200−23230023−2300-111-13−33−3−33−33000000000000000000000000000000000000000000000000
χ964-44-44-4-444-200004-2-44422-2-42-42-4-2-2-22-22-222000000000000000000000000000000000000000000−2i22i22i2−2i200000000i2−i2i2−i2−i2i2−i2i20000000000000000
χ974-44-44-4-444-200004-2-44422-2-42-42-4-2-2-22-22-2220000000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2i2−i2i2i2−i2i2−i20000000000000000
χ984-44-44-4-44-240000-242-2-2-4-442-42-424-2-22-22-2220000000000000000000000000000000000000022−22−22220000−22−222−22−2000000000000000000000000
χ994-44-44-4-44-240000-242-2-2-4-442-42-424-2-22-22-22200000000000000000000000000000000000000−222222−2200002−22−2−22−22000000000000000000000000
χ1004-4-44-4-4444-2-4-4444-2-4-4-42224-24-2-42-2-22222-2-2-4-4224-24-2000000000022-2-200000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-24-4-444-24222-4-4-4-24-242-4-2-22222-2-222-4-4-24-24000000000022-2-200000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-444-2-244-4-4-2-2222222-2-2-2-22211-1-1-1-111-2-2-2-222224-4-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-244-4-4-2-2222222-2-2-2-22211-1-1-1-111-2-2-2-22222-442222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000000000000
χ1044-4-44-4-444-2-2-4-444-2-2222222-2-2-2-22211-1-1-1-1112222-2-2-2-20000000000-1-1113-3-33-333-3000000000000000000000000000000000000000000000000
χ1054-4-44-4-444-2-2-4-444-2-2222222-2-2-2-22211-1-1-1-1112222-2-2-2-20000000000-1-111-333-33-3-33000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4440000-4-4-44-4-44-4-4-444444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-4444-44-20000-42-44-42-22-424-24-2-222-2-222-2000000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000
χ1084-4-4-4444-44-20000-42-44-42-22-424-24-2-222-2-222-2000000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000
χ1094-4-4-4444-4-2400002-42-22-44-42-4-24-24-222-2-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ1104-4-4-4444-4-2400002-42-22-44-42-4-24-24-222-2-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ111888-8-8-88-8-4-4000044-44-4-44-444-4-4442-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-40000-4-4-444-4-444444-44222-22-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-8-88-4-40000-4-44-4-444-444444-422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-8888-8-4-40000444-444-4444-4-4-4-42-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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