Finite Group Databasebeta

← Group #11790178

Character table — Group #11790178

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-1-111-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−iii−i−i11-1-1i−ii−ii−i
χ1011-1-111-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii−i−iii11-1-1−ii−ii−ii
χ1111-1-111-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11i−iii−i−i-1-111−ii−ii−ii
χ1211-1-111-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11−ii−i−iii-1-111i−ii−ii−i
χ1311-1-111-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-11-1-11-1-111-1-11111-1-1-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii−i−iii-1-111i−ii−i−ii
χ1411-1-111-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-11-1-11-1-111-1-11111-1-1-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−iii−i−i-1-111−ii−iii−i
χ1511-1-111-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-11-1-11-1-111-1-11111-1-1-1-1-1-11111-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii−i−iii11-1-1−ii−iii−i
χ1611-1-111-1-1111-11-111-1-1-1-1-1-1-1111-1111-1-1-1-111111-1-1-11-1-11-1-111-1-11111-1-1-1-1-1-11111-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1i−iii−i−i11-1-1i−ii−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000000022-2-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000000000-2-22200
χ19222222222-122222-12222-1-1-12-1-1-12-1-1-1-1-1-1-1-12-1-122-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10022-1-1-1-10000000000
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χ21222222222-122222-12222-1-1-12-1-1-12-1-1-1-1-1-1-1-12-1-122-12-1-2-21111-2-2-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-211110000000000
χ22222222222-122222-12222-1-1-12-1-1-12-1-1-1-1-1-1-1-12-1-122-12-1-2-21111-2-2-2-2-1-1-1-1111111110000-2-2-2-200000000111111110022-1-1-1-10000000000
χ2322222222-122222-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-1-122-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000022000000-1-1-1-1000000
χ2422222222-122222-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-1-122-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20000001111000000
χ2522222222-122222-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-1-122-1-12-12-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20000001111000000
χ2622222222-122222-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-1-122-1-12-12-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-20000111111110000000022000000-1-1-1-1000000
χ2722-2-222-2-222-22-2222-2-2-2-2-2-2-2222-2222-2-2-2-222-2-2-2222-220000000000-2-222000000000000000000000000000000000000000000002i−2i−2i2i00
χ2822-2-222-2-222-22-2222-2-2-2-2-2-2-2222-2222-2-2-2-222-2-2-2222-220000000000-2-22200000000000000000000000000000000000000000000−2i2i2i−2i00
χ2922-2-222-2-22-12-22-22-1-2-2-2-21112-1-112-1-11111-1-12-1-1-2-21212-2-1-11122-2-2-1-111-1-1-1-1111100002i2i−2i−2i00000000−i−i−i−iiiii002i−2i−i−iii0000000000
χ3022-2-222-2-22-12-22-22-1-2-2-2-21112-1-112-1-11111-1-12-1-1-2-21212-2-1-11122-2-2-1-111-1-1-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i00−2i2iii−i−i0000000000
χ3122-2-222-2-22-12-22-22-1-2-2-2-21112-1-112-1-11111-1-12-1-1-2-2121-2211-1-1-2-222-1-1111111-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii00−2i2iii−i−i0000000000
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χ3322-2-222-2-2-122-22-2-121111-2-2-2-122-2-1-1-11111-1-1-12211-2-1-22-222-2-2-1-111-1-111-1-1-1-1111122-2-20000-1-1-1-11111000000002-2000000-1-111000000
χ3422-2-222-2-2-122-22-2-121111-2-2-2-122-2-1-1-11111-1-1-12211-2-1-22-222-2-2-1-111-1-111-1-1-1-11111-2-22200001111-1-1-1-100000000-2200000011-1-1000000
χ3522-2-222-2-2-122-22-2-121111-2-2-2-122-2-1-1-11111-1-1-12211-2-1-2-22-2-22211-1-1-1-1111111-1-1-1-122-2-20000-1-1-1-1111100000000-2200000011-1-1000000
χ3622-2-222-2-2-122-22-2-121111-2-2-2-122-2-1-1-11111-1-1-12211-2-1-2-22-2-22211-1-1-1-1111111-1-1-1-1-2-22200001111-1-1-1-1000000002-2000000-1-111000000
χ372-2222-2-2-2222-2-22-2-222-2-222-222-2-2-22-222-2-22-222-22-2-2-2200000000002-22-20000000000002-22-20000000022-2-222-2-2000000000000000000
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χ392-2222-2-2-222-222-2-2-222-2-222-222-2-2-22-222-2-22-2-2-22-2222-20000000000-22-22000000002-22-2000022-2-222-2-200000000000000000000000000
χ402-2222-2-2-222-222-2-2-222-2-222-222-2-2-22-222-2-22-2-2-22-2222-20000000000-22-2200000000-22-220000-2-222-2-22200000000000000000000000000
χ412-2222-2-2-22-12-2-22-2122-2-2-1-112-111-2-11-1-111-112-112-21-2-1003−33−30000-11-1133−3−333−3−300002-22-200000000-1-111-1-11100003−33−30000000000
χ422-2222-2-2-22-12-2-22-2122-2-2-1-112-111-2-11-1-111-112-112-21-2-1003−33−30000-11-1133−3−333−3−30000-22-220000000011-1-111-1-10000−33−330000000000
χ432-2222-2-2-22-12-2-22-2122-2-2-1-112-111-2-11-1-111-112-112-21-2-100−33−330000-11-11−3−333−3−33300002-22-200000000-1-111-1-1110000−33−330000000000
χ442-2222-2-2-22-12-2-22-2122-2-2-1-112-111-2-11-1-111-112-112-21-2-100−33−330000-11-11−3−333−3−3330000-22-220000000011-1-111-1-100003−33−30000000000
χ452-2222-2-2-2-12-222-21-2-1-11122-2-12-2-21-11-1-111-111-221-12-1-20000003−33−31-11-13−33−33−33−32-22-20000-1-111-1-11100000000000000003−33−3000000
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χ472-2222-2-2-2-12-222-21-2-1-11122-2-12-2-21-11-1-111-111-221-12-1-2000000−33−331-11-1−33−33−33−332-22-20000-1-111-1-1110000000000000000−33−33000000
χ482-2222-2-2-2-12-222-21-2-1-11122-2-12-2-21-11-1-111-111-221-12-1-2000000−33−331-11-1−33−33−33−33-22-22000011-1-111-1-100000000000000003−33−3000000
χ492-2-2-22-2222222-2-2-2-2-2-222-2-2222-22-22-2-2-2222-222-2-222-2-200000000002-2-220000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
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χ522-2-2-22-22222-2-222-2-2-2-222-2-2222-22-22-2-2-2222-2-2-222-2-2220000000000-222-200000000-222-20000-2-22222-2-200000000000000000000000000
χ532-2-2-22-2222-122-2-2-21-2-22211-12-11-1-2-1111-1-1-112-11-22-1-21003−3−330000-111-133−3−3−3−33300002i−2i−2i2i00000000−i−iiiii−i−i0000i3−i3−i3i30000000000
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χ552-2-2-22-2222-122-2-2-21-2-22211-12-11-1-2-1111-1-1-112-11-22-1-2100−333−30000-111-1−3−33333−3−300002i−2i−2i2i00000000−i−iiiii−i−i0000−i3i3i3−i30000000000
χ562-2-2-22-2222-122-2-2-21-2-22211-12-11-1-2-1111-1-1-112-11-22-1-2100−333−30000-111-1−3−33333−3−30000−2i2i2i−2i00000000ii−i−i−i−iii0000i3−i3−i3i30000000000
χ572-2-2-22-222-12-2-2221-211-1-1-2-22-12-221-1111-1-1-111-22-11-2-120000003−3−331-1-113−33−3−33−332-2-220000-1-11111-1-100000000000000003−3−33000000
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χ864-4444-4-4-4-2-24-4-4422-2-222-2-22-2-22221-111-1-11-1-2-22-2222-200−2323−232300001-11-133−3−333−3−3000000000000000000000000000000000000000000
χ874-4444-4-4-4-2-2-444-422-2-222-2-22-2-22221-111-1-11-122-22-2-2-2200000023−2323−23-11-11−33−33−33−33000000000000000000000000000000000000000000
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χ944-4-44-444-4440000-4-4-444-4-44-4-4-44444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-44-444-44-20000-42-444-42-22-42-2-24-222-2-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ964-4-44-444-44-20000-42-444-42-22-42-2-24-222-2-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ974-4-44-444-4-2400002-42-2-22-44-42-444-2-222-2-222-200000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ984-4-44-444-4-2400002-42-2-22-44-42-444-2-222-2-222-200000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ994-4-4-44-4444-2-4-444-42-4-44422-24-22-2-4-2222-2-2-22-42-24-424-200000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-44-444-2444-4-42-422-2-2-4-44-24-442-2222-2-2-22-24-42-242-40000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-4-44-444-2-244-4-42222-2-222-2-2-22-221-1-1-1111-1-2-222-2-2220023−23−232300001-1-11−3−33333−3−3000000000000000000000000000000000000000000
χ1024-4-4-44-444-2-244-4-42222-2-222-2-2-22-221-1-1-1111-1-2-222-2-22200−232323−2300001-1-1133−3−3−3−333000000000000000000000000000000000000000000
χ1034-4-4-44-444-2-2-4-4442222-2-222-2-2-22-221-1-1-1111-122-2-222-2-200000023−23−2323-111-1−33−333−33−3000000000000000000000000000000000000000000
χ1044-4-4-44-444-2-2-4-4442222-2-222-2-2-22-221-1-1-1111-122-2-222-2-2000000−232323−23-111-13−33−3−33−33000000000000000000000000000000000000000000
χ105888-8-8-88-8-4-40000-4-4-44-44-444444-44222-22-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-8-88-4-40000-4-44-44-44-4-44444422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-4000044-444-4-44-444-44-42-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-888-8-4-40000444-4-444-4444-4-4-42-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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