Finite Group Databasebeta

← Group #11786463

Character table — Group #11786463

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
χ9111-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i1-1i−i
χ10111-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i−i−iii11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii-11−ii
χ11111-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111−i−iiiii−i−i-11−ii
χ12111-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iii1-1i−i
χ13111-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−i1-1−ii
χ14111-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111ii−i−i−i−iii-11i−i
χ15111-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i-11i−i
χ16111-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-11-111-1-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii11-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii1-1−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
χ19222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ20222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000000011110000
χ21222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-1-2-2-2-211-2-211-1-1-1-111111111000022220000-2-2-2-2000000001111111100000000-1-1-1-10000
χ22222222222-1222222-1-122-1-12-12-12-1-1-1-1-1-1-1-1-12-122-1-12-1-2-2-2-211-2-211-1-1-1-1111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000011110000
χ2322222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ2422222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000111100000000
χ2522222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-12-2-211-2-211-2-2-1-1-1-11111111122220000-2-2-2-2000011111111000000000000-1-1-1-100000000
χ2622222222-122222-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-12-1-122-12-2-211-2-211-2-2-1-1-1-111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000111100000000
χ27222-2-22-2-22222-2-22222-2-2-2-222-2-2-2-2222-2-2-22-2-2-22222-2-20000000000-2-222000000000000000000000000000000000000000022-2-200000000-2200
χ28222-2-22-2-22222-2-22222-2-2-2-222-2-2-2-2222-2-2-22-2-2-22222-2-20000000000-2-2220000000000000000000000000000000000000000-2-222000000002-200
χ29222-2-22-2-22-1-2-22222-1-1-2-2112-1-21-21-1-1-1111-112-1-2-2112-12i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00002i2i−2i−2i000022-2-200000000-1-1-1-1111100000000−i−iii0000
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χ32222-2-22-2-22-1-2-22222-1-1-2-2112-1-21-21-1-1-1111-112-1-2-2112-1−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i0000−2i−2i2i2i000022-2-200000000-1-1-1-1111100000000ii−i−i0000
χ33222-2-22-2-2-12-2-222-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-122i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii2i2i−2i−2i000022-2-20000-1-1-1-11111000000000000−i−iii00000000
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χ35222-2-22-2-2-12-2-222-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-12−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i2i2i−2i−2i0000-2-22200001111-1-1-1-1000000000000−i−iii00000000
χ36222-2-22-2-2-12-2-222-1-12211-2-2-121-21-2-1-1-1111-11-1211-2-2-12−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i−2i−2i2i2i000022-2-20000-1-1-1-11111000000000000ii−i−i00000000
χ3722-22-2-22-22200002-22-22-22-2-2-2-2-22222-222-2-2-200000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-22-2000000000000
χ3822-22-2-22-22200002-22-22-22-2-2-2-2-22222-222-2-2-200000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-22-22000000000000
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χ8744-4-44-4-44-240000-224-42-2-442-4-242-4-2-2222-22-200000000000000000000000000000000000000−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
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χ1034-4-44-44-44-2-2-44-442222-2-2-2-2-2-222221-1-11-111-12-22-22-2-220023−230023−2300-11-11−33−33−33−33000000000000000000000000000000000000000000000000
χ1044-4-44-44-44-2-2-44-442222-2-2-2-2-2-222221-1-11-111-12-22-22-2-2200−232300−232300-11-113−33−33−33−3000000000000000000000000000000000000000000000000
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χ1064-4-4-4444-4-24-444-422-4-422-4-4-24-24-24-2222-22-2-2-2-42-2-44240000000000-222-200000000000000000000000000000000000000000000000000000000
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χ1094-4-4-4444-4-2-2-444-422222222-2-2-2-2-2-21-1-1-11-111-222-22-22-20000−2i32i3002i3−2i31-1-11i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ1104-4-4-4444-4-2-2-444-422222222-2-2-2-2-2-21-1-1-11-111-222-22-22-200002i3−2i300−2i32i31-1-11−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ11188-88-8-88-8-4-40000-44-44-44-444444-4-422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-8-88-4-40000-44-444-44-444-4-44422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8888-8-8-8-4-400004-44-4-44-4444-4-4442-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-8-888-4-400004-44-44-44-44444-4-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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