Finite Group Databasebeta

← Group #11791438

Character table — Group #11791438

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
χ91-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i1-11-1
χ101-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−iii-11-11
χ111-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiii−i−i-11-11
χ121-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii1-11-1
χ131-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−iii−i−i1-1-11
χ141-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii-111-1
χ151-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i-111-1
χ161-1-1-1-11111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−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
χ19222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ20222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000000011110000
χ21222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-1-2-2-2-211-2-211-1-1-1-111111111000022220000-2-2-2-2000000001111111100000000-1-1-1-10000
χ22222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-1-2-2-2-211-2-211-1-1-1-1111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000011110000
χ2322222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ2422222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000111100000000
χ2522222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-12-2-211-2-211-2-2-1-1-1-11111111122220000-2-2-2-2000011111111000000000000-1-1-1-100000000
χ2622222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-12-2-211-2-211-2-2-1-1-1-111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000111100000000
χ27222-2-22-2-22200002-22-222-222-2-2-2-2-222-222-2-2-2000000000000000000000000000000000000002−22−22−22−222−2−222−2−222−2−222−2−22-22-2000000000000
χ28222-2-22-2-22200002-22-222-222-2-2-2-2-222-222-2-2-2000000000000000000000000000000000000002−22−2−22−2222−2−222−2−2−2−222−2−222-22-22000000000000
χ29222-2-22-2-22200002-22-222-222-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000−22−222−22−2−2−222−2−22222−2−222−2−2-22-22000000000000
χ30222-2-22-2-22200002-22-222-222-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000−22−22−22−22−2−222−2−222−2−222−2−2222-22-2000000000000
χ3122-22-2-2-22222-22-2-2-2-2-22-222-2-222-222-2-22-22-222-22-222-2-200000000002-22-2000000002i−2i2i−2i000000000000000000000000000000002i−2i2i−2i00000000
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χ3322-22-2-2-2222-22-22-2-2-2-22-222-2-222-222-2-22-22-22-22-22-2-2220000000000-22-220000000000002-22-2000000000000000000000000000000002-22-20000
χ3422-22-2-2-2222-22-22-2-2-2-22-222-2-222-222-2-22-22-22-22-22-2-2220000000000-22-22000000000000-22-2200000000000000000000000000000000-22-220000
χ3522-22-2-2-222-1-22-22-2-2112-22-1112-1-2-1-111-11-11-1-221-1-212-10000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i300002-22-20000000000000000−i3i3−i3i3−i3i3−i3i300000000-11-110000
χ3622-22-2-2-222-1-22-22-2-2112-22-1112-1-2-1-111-11-11-1-221-1-212-10000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i30000-22-220000000000000000i3−i3i3−i3i3−i3i3−i3000000001-11-10000
χ3722-22-2-2-222-1-22-22-2-2112-22-1112-1-2-1-111-11-11-1-221-1-212-10000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i300002-22-20000000000000000i3−i3i3−i3i3−i3i3−i300000000-11-110000
χ3822-22-2-2-222-1-22-22-2-2112-22-1112-1-2-1-111-11-11-1-221-1-212-10000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i30000-22-220000000000000000−i3i3−i3i3−i3i3−i3i3000000001-11-10000
χ3922-22-2-2-22-122-22-211-2-2-11-12-2-2-1212-111-11-11-1-112-2-121-200−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i32i−2i2i−2i0000000000003−33−33−33−3000000000000−ii−ii00000000
χ4022-22-2-2-22-122-22-211-2-2-11-12-2-2-1212-111-11-11-1-112-2-121-200−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i3−2i2i−2i2i000000000000−33−33−33−33000000000000i−ii−i00000000
χ4122-22-2-2-22-122-22-211-2-2-11-12-2-2-1212-111-11-11-1-112-2-121-200i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i32i−2i2i−2i000000000000−33−33−33−33000000000000−ii−ii00000000
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χ432-22-22-2-22222-2-22-2-2-2-2-22-2-222222-22-2-2-22-2222-22-2-2-22200000000002-2-22000000002-2-22000000000000000000000000000000002-2-2200000000
χ442-22-22-2-22222-2-22-2-2-2-2-22-2-222222-22-2-2-22-2222-22-2-2-22200000000002-2-2200000000-222-200000000000000000000000000000000-222-200000000
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χ462-22-22-2-2222-222-2-2-2-2-2-22-2-222222-22-2-2-22-222-22-2222-2-20000000000-222-2000000000000−2i2i2i−2i00000000000000000000000000000000−2i2i2i−2i0000
χ472-22-22-2-222-1-222-2-2-211-22-21-1-12-121-1111-11-1-1-221-12-1-210000−i3i300i3−i31-1-11−i3−i3i3i3i3i3−i3−i300002i−2i−2i2i00000000000000003−33−3−33−3300000000−iii−i0000
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χ8344-44-4-4-44-2-2-44-442222-22-2-222-2-22-21-1-11-11-112-22-222-2-20000−2i32i300−2i32i3-11-11i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ8444-44-4-4-44-2-2-44-442222-22-2-222-2-22-21-1-11-11-112-22-222-2-200002i3−2i3002i3−2i3-11-11−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8544-4-44-44-4440000-44-444-4-44-44-4-44-44-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-44-44-44-20000-442-24-4-4-22-2-4242-22-2-222-22000000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000
χ8744-4-44-44-44-20000-442-24-4-4-22-2-4242-22-2-222-22000000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000
χ8844-4-44-44-4-2400002-2-44-2224-442-4-2-4-22-2-222-2200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000000000
χ8944-4-44-44-4-2400002-2-44-2224-442-4-2-4-22-2-222-220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000000000
χ904-444-4-44-4440000-44-44-444-44-4-4-4-444-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ914-444-4-44-44-20000-442-2-4442-22-42-4-2-22-22-2-2220000000000000000000000000000000000000000000000000000006−6−66−666−60000000000000000
χ924-444-4-44-44-20000-442-2-4442-22-42-4-2-22-22-2-222000000000000000000000000000000000000000000000000000000−666−66−6−660000000000000000
χ934-444-4-44-4-2400002-2-442-2-2-44-42-424-22-22-2-2220000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ944-444-4-44-4-2400002-2-442-2-2-44-42-424-22-22-2-2220000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ954-44-44-4-444-24-4-44-4-422-44-42-2-24-242-2222-22-2-24-4-22-424-20000000000-222-200000000000000000000000000000000000000000000000000000000
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χ984-44-44-4-44-2-24-4-4422222-222-2-2-2-2-221-1-1-11-111-22-2222-2-2002i3−2i300−2i32i3001-1-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000
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χ1004-44-44-4-44-2-2-444-422222-222-2-2-2-2-221-1-1-11-1112-22-2-2-22200002i3−2i300−2i32i3-111-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ1014-4-4444-4-44-200004-4-22-4-4422-2-424-2-2-2222-2-22000000000000000000000000000000000000000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i20000000000000000
χ1024-4-4444-4-44-200004-4-22-4-4422-2-424-2-2-2222-2-220000000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i20000000000000000
χ1034-4-4444-4-4-240000-224-422-2-4-442-4-24-2-2222-2-2200000000000000000000000000000000000000−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ1044-4-4444-4-4-240000-224-422-2-4-442-4-24-2-2222-2-22000000000000000000000000000000000000002i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ1054-4-4-4-44444-2-4-44444-2-2-4-4-42224-2-42-2-2-22222-2-4-4224-24-2000000000022-2-200000000000000000000000000000000000000000000000000000000
χ1064-4-4-4-4444-24-4-444-2-244222-4-4-4-242-4-2-2-22222-222-4-4-24-24000000000022-2-200000000000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-2-244-4-4-2-2-2-2222222-2-222111-1-1-1-11-2-2-2-222224-4-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-2-244-4-4-2-2-2-2222222-2-222111-1-1-1-11-2-2-2-22222-442222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000000000000
χ1094-4-4-4-4444-2-2-4-444-2-2-2-2222222-2-222111-1-1-1-112222-2-2-2-20000000000-1-1113-3-33-333-3000000000000000000000000000000000000000000000000
χ1104-4-4-4-4444-2-2-4-444-2-2-2-2222222-2-222111-1-1-1-112222-2-2-2-20000000000-1-111-333-33-3-33000000000000000000000000000000000000000000000000
χ111888-8-88-8-8-4-40000-44-44-4-44-4-44444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-88-8-4-400004-44-4-444-44-444-442-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-88-8-4-400004-44-44-4-44-44444-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8888-8-8-4-40000-44-4444-444-444-4-422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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