Finite Group Databasebeta

← Group #11786888

Character table — Group #11786888

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ911-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-111-1-1-1-11111-1-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i11-1-1ii−i−ii−iii−i−i
χ1011-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-111-1-1-1-11111-1-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii11-1-1−i−iii−ii−i−iii
χ1111-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-111-1-1-1-11111-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-11i−i-1-111ii−i−i−ii−i−iii
χ1211-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-111-1-1-1-11111-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii-1-111−i−iiii−iii−i−i
χ1311-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-11-1-11111-1-1-1-11111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii-1-111−i−iiii−i−i−iii
χ1411-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-11-1-11111-1-1-1-11111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i-1-111ii−i−i−iiii−i−i
χ1511-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-11-1-11111-1-1-1-11111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii1-1−ii11-1-1−i−iii−iiii−i−i
χ1611-1-111-1-1111-11-1111-1-1-1-1-1-1-1111-11-1-11111-1-1-1-11111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i1-1i−i11-1-1ii−i−ii−i−i−iii
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000000000002222000000000000-2-20000
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000000000220000
χ19222222222-1222222-1222-1-1-1-12-1-12-12222-1-1-1-1-1-1-122-12-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ20222222222-1222222-1222-1-1-1-12-1-12-12222-1-1-1-1-1-1-122-12-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ21222222222-1222222-1222-1-1-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-122-12-1-1-12-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ22222222222-1222222-1222-1-1-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-122-12-1-1-12-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ2322222222-122222-1-12-1-1-12222-122-1-12222-1-1-1-1-1-1-1-1-12-1222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ2422222222-122222-1-12-1-1-12222-122-1-12222-1-1-1-1-1-1-1-1-12-1222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ2522222222-122222-1-12-1-1-12222-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12-1222-111-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ2622222222-122222-1-12-1-1-12222-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12-1222-111-2-211-2-2-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ27222-2-2-22-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-200000000000000000000000000002−22−22−22−222−2−222−2−222−2−222−2−22-22-2000000000000000000
χ28222-2-2-22-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-200000000000000000000000000002−22−2−22−2222−2−222−2−2−2−222−2−222-22-22000000000000000000
χ29222-2-2-22-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-20000000000000000000000000000−22−222−22−2−2−222−2−22222−2−222−2−2-22-22000000000000000000
χ30222-2-2-22-22200002-2222-222-2-2-2-2-2-2200002-222-2-2-20000000000000000000000000000−22−22−22−22−2−222−2−222−2−222−2−2222-22-2000000000000000000
χ3122-22-2-2-222200002-22-2-22-2-222-2-2-22200002-2-2-222-200000000000000000000000000002−2−22−i2i2i2−i222−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i000000000000000000
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χ3522-2-222-2-222-22-22222-2-2-2-2-2-2-2222-22000022-2-2-2-22-2-2-2222-2200000000-2-222000000000000000000000000000000002i2i−2i−2i000000000000−2i2i0000
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χ3722-2-222-2-22-12-22-222-1-2-2-211112-1-1-2-122-2-2-1-11111-122-1-211-1-222-1-1-2-211-1-111-1-1-1-1111122-2-20000-1-1-1-111110000000000002-200-1-1110000000000
χ3822-2-222-2-22-12-22-222-1-2-2-211112-1-1-2-122-2-2-1-11111-122-1-211-1-222-1-1-2-211-1-111-1-1-1-11111-2-22200001111-1-1-1-1000000000000-220011-1-10000000000
χ3922-2-222-2-22-12-22-222-1-2-2-211112-1-1-2-1-2-222-1-11111-122-1-211-1-2-2-21122-1-1-1-1111111-1-1-1-122-2-20000-1-1-1-11111000000000000-220011-1-10000000000
χ4022-2-222-2-22-12-22-222-1-2-2-211112-1-1-2-1-2-222-1-11111-122-1-211-1-2-2-21122-1-1-1-1111111-1-1-1-1-2-22200001111-1-1-1-10000000000002-200-1-1110000000000
χ4122-2-222-2-2-122-22-2-1-12111-2-2-2-2-1221-122-2-2-1-11111-1-1-121-2-221-1-12211-2-2-1-111-1-1-1-1111100002i2i−2i−2i00000000−i−i−i−iiiii0000002i−2i0000−i−iii000000
χ4222-2-222-2-2-122-22-2-1-12111-2-2-2-2-1221-122-2-2-1-11111-1-1-121-2-221-1-12211-2-2-1-111-1-1-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i000000−2i2i0000ii−i−i000000
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χ4422-2-222-2-2-122-22-2-1-12111-2-2-2-2-1221-1-2-222-1-11111-1-1-121-2-22111-2-2-1-122-1-1111111-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i0000002i−2i0000−i−iii000000
χ452-2222-2-2-22222-2-2-2-2-22-222-22-222-2-222-22-2-2-22-22-222-2222-2-2-22-22-22-22-22-22-222-2-222-2-20000000000000000000000000000000000000000000000
χ462-2222-2-2-22222-2-2-2-2-22-222-22-222-2-22-22-22-2-22-22-222-2222-2-2-2-22-22-22-222-22-2-2-222-2-2220000000000000000000000000000000000000000000000
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χ502-2222-2-2-22-122-2-2-2-212-22-11-112-11-2-12-22-211-11-11-12-2-12-111-22-2-112-2-11-11-11-1-111-1-11100000000−33−33−33−330000000000000000−33−330000000000
χ512-2222-2-2-22-122-2-2-2-212-22-11-112-11-2-1-22-2211-11-11-12-2-12-111-2-221-1-221-1-11-1111-1-111-1-1000000003−33−33−33−30000000000000000−33−330000000000
χ522-2222-2-2-22-122-2-2-2-212-22-11-112-11-2-1-22-2211-11-11-12-2-12-111-2-221-1-221-1-11-1111-1-111-1-100000000−33−33−33−3300000000000000003−33−30000000000
χ532-2222-2-2-2-1222-2-211-2-11-12-22-2-12-21-12-22-211-11-11-1-112-12-2-21-112-2-112-2-11-11-1-111-1-11100000000000000003−33−33−33−30000000000003−33−3000000
χ542-2222-2-2-2-1222-2-211-2-11-12-22-2-12-21-12-22-211-11-11-1-112-12-2-21-112-2-112-2-11-11-1-111-1-1110000000000000000−33−33−33−33000000000000−33−33000000
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χ8644-4-444-4-4-2-24-44-4-2-2-22222222-2-2-221-4-44411-1-1-1-11-2-2-2222-222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ8744-4-444-4-4-2-2-44-44-2-2-22222222-2-2-221000011-1-1-1-11222-2-2-22-200000000-1-1113-33-3-33-330000000000000000000000000000000000000000000000
χ8844-4-444-4-4-2-2-44-44-2-2-22222222-2-2-221000011-1-1-1-11222-2-2-22-200000000-1-111-33-333-33-30000000000000000000000000000000000000000000000
χ894-4444-4-4-44-2-4-444-4-424-44-22-224-22-4-2000022-22-22-2-442-42-2-24000000002-22-2000000000000000000000000000000000000000000000000000000
χ904-4444-4-4-4-24-4-44422-4-22-24-44-4-24-42-2000022-22-22-22-2-42-444-2000000002-22-2000000000000000000000000000000000000000000000000000000
χ914-4444-4-4-4-2-244-4-4222-22-2-22-22-2-22214-44-4-1-11-11-11-22-2-2-2222-22-22-22-221-11-111-1-111-1-10000000000000000000000000000000000000000000000
χ924-4444-4-4-4-2-244-4-4222-22-2-22-22-2-2221-44-44-1-11-11-11-22-2-2-22222-22-22-22-21-11-1-1-111-1-1110000000000000000000000000000000000000000000000
χ934-4444-4-4-4-2-2-4-444222-22-2-22-22-2-22210000-1-11-11-112-2222-2-2-200000000-11-113-3-333-3-330000000000000000000000000000000000000000000000
χ944-4444-4-4-4-2-2-4-444222-22-2-22-22-2-22210000-1-11-11-112-2222-2-2-200000000-11-11-333-3-333-30000000000000000000000000000000000000000000000
χ954-44-4-44-44440000-44-44-4-44-4-44-4-44440000-444-4-44-400000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-44-444-20000-4424-4-4-222-2-42-24-200002-2-222-220000000000000000000000000000000000006−6−666−6−66000000000000000000000000000000
χ974-44-4-44-444-20000-4424-4-4-222-2-42-24-200002-2-222-22000000000000000000000000000000000000−666−6−666−6000000000000000000000000000000
χ984-44-4-44-44-2400002-2-4-2224-4-442-44-2-200002-2-222-22000000000000000000000000000000000000000000006−6−666−6−660000000000000000000000
χ994-44-4-44-44-2400002-2-4-2224-4-442-44-2-200002-2-222-2200000000000000000000000000000000000000000000−666−6−666−60000000000000000000000
χ1004-4-44-444-4440000-44-4-444-444-4-4-44-440000-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-44-20000-442-4442-2-22-42-2-4-200002-22-2-2220000000000000000000000000000000000006−6−66−666−6000000000000000000000000000000
χ1024-4-44-444-44-20000-442-4442-2-22-42-2-4-200002-22-2-222000000000000000000000000000000000000−666−66−6−66000000000000000000000000000000
χ1034-4-44-444-4-2400002-2-42-2-2-444-42-442-200002-22-2-22200000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000
χ1044-4-44-444-4-2400002-2-42-2-2-444-42-442-200002-22-2-22200000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000
χ1054-4-4-44-4444-2-444-4-4-42-44-42-22-24-224-20000222-22-2-2-4424-22-2-4000000002-2-22000000000000000000000000000000000000000000000000000000
χ1064-4-4-44-444-24-444-422-42-22-44-44-24-4-2-20000222-22-2-22-2-4-24-442000000002-2-22000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-444-2-24-4-442222-222-22-2-2-22-214-4-44-1-1-11-111-22-222-22-2-22-222-22-21-1-1111-1-1-1-1110000000000000000000000000000000000000000000000
χ1084-4-4-44-444-2-24-4-442222-222-22-2-2-22-21-444-4-1-1-11-111-22-222-22-22-22-2-22-221-1-11-1-11111-1-10000000000000000000000000000000000000000000000
χ1094-4-4-44-444-2-2-444-42222-222-22-2-2-22-210000-1-1-11-1112-22-2-22-2200000000-111-13-3-33-333-30000000000000000000000000000000000000000000000
χ1104-4-4-44-444-2-2-444-42222-222-22-2-2-22-210000-1-1-11-1112-22-2-22-2200000000-111-1-333-33-3-330000000000000000000000000000000000000000000000
χ111888-8-8-88-8-4-40000-44-4-4-44-4-4444444200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-8-88-4-40000-44-444-444-4-4444-4200002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-88-88-4-400004-44-444-444-444-4-420000-222-2-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-888-8-4-400004-444-4-44-4-4444-4420000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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