Finite Group Databasebeta

← Group #11789913

Character table — Group #11789913

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
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
χ911-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−ii−ii−i1-1
χ1011-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-1−ii11-1-1−i−iii−ii−ii-11
χ1111-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i−ii−ii-11
χ1211-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-11−ii-1-111−i−iiii−ii−i1-1
χ1311-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iiii−ii−i-11
χ1411-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-11i−i-1-111ii−i−i−ii−ii1-1
χ1511-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii−ii−ii1-1
χ1611-11-11-1-1111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-1i−i11-1-1ii−i−ii−ii−i-11
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
χ19222222222-1222222-122-1-1-12-12-1-12-1-1-1-1-1-1-1-12-1-122-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-1222222-122-1-1-12-12-1-12-1-1-1-1-1-1-1-12-1-122-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-1222222-122-1-1-12-12-1-12-1-1-1-1-1-1-1-12-1-122-12-1-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-1222222-122-1-1-12-12-1-12-1-1-1-1-1-1-1-12-1-122-12-1-2-2-2-211-2-211-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ2322222222-122222-1-12-1-1222-12-122-1-1-1-1-1-1-1-1-1-122-1-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2422222222-122222-1-12-1-1222-12-122-1-1-1-1-1-1-1-1-1-122-1-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2522222222-122222-1-12-1-1222-12-122-1-1-1-1-1-1-1-1-1-122-1-12-12-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ2622222222-122222-1-12-1-1222-12-122-1-1-1-1-1-1-1-1-1-122-1-12-12-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ2722-22-22-2-222-22-22222-2-2-2-2-222-2-22-2222-2-2-22-2-2-2-2222-220000000000-2-222000000000000000000000000000000000000000000002i−2i−2i2i00
χ2822-22-22-2-222-22-22222-2-2-2-2-222-2-22-2222-2-2-22-2-2-2-2222-220000000000-2-22200000000000000000000000000000000000000000000−2i2i2i−2i00
χ2922-22-22-2-22-12-22-222-1-2-21112-1-21-1-2-1-1-1111-112-1-1-2-21212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii000000002-200-1-1110000000000
χ3022-22-22-2-22-12-22-222-1-2-21112-1-21-1-2-1-1-1111-112-1-1-2-21212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i00000000-220011-1-10000000000
χ3122-22-22-2-22-12-22-222-1-2-21112-1-21-1-2-1-1-1111-112-1-1-2-2121−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii00000000-220011-1-10000000000
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χ3322-22-22-2-2-122-22-2-1-1211-2-2-2-121-221-1-1-1111-11-12211-2-1-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii000022-2-200000000-1-1-1-11111002i−2i0000−i−iii000000
χ3422-22-22-2-2-122-22-2-1-1211-2-2-2-121-221-1-1-1111-11-12211-2-1-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000-2-222000000001111-1-1-1-100−2i2i0000ii−i−i000000
χ3522-22-22-2-2-122-22-2-1-1211-2-2-2-121-221-1-1-1111-11-12211-2-1-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i000022-2-200000000-1-1-1-1111100−2i2i0000ii−i−i000000
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χ412-2222-2-2-22-1-222-2-2-212-2-1112-12-11-2-111-111-1-1-21-1-22-1210000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i32i−2i2i−2i0000−i−iii−i−iii0000000000003−33−30000000000
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χ442-2222-2-2-22-1-222-2-2-212-2-1112-12-11-2-111-111-1-1-21-1-22-1210000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i0000ii−i−iii−i−i0000000000003−33−30000000000
χ452-2222-2-2-2-122-2-2211-2-112-2-2-12-12-21-111-111-1-1-12-2-11-21200−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i00000000−i−iii−i−iii000000003−33−3000000
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χ864-4444-4-4-4-2-24-4-44222-22-222-2-2-2-2221-1-11-1-111-2-22-2222-2002i3−2i3002i3−2i3001-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ874-4444-4-4-4-2-2-444-4222-22-222-2-2-2-2221-1-11-1-11122-22-2-2-220000−2i32i300−2i32i3-11-11i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ884-4444-4-4-4-2-2-444-4222-22-222-2-2-2-2221-1-11-1-11122-22-2-2-2200002i3−2i3002i3−2i3-11-11−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ894-44-4-44-44440000-44-44-44-44-4-4-4-4444-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-4-44-444-20000-4424-4-22-2-42-42-24-22-2-22-222000000000000000000000000000000000000006−6−666−6−6600000000000000000000000000
χ914-44-4-44-444-20000-4424-4-22-2-42-42-24-22-2-22-22200000000000000000000000000000000000000−666−6−666−600000000000000000000000000
χ924-44-4-44-44-2400002-2-4-224-442-42-44-2-22-2-22-22200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000
χ934-44-4-44-44-2400002-2-4-224-442-42-44-2-22-2-22-2220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000
χ944-4-44-4-4444-244-4-4-4-42-442-2-24-2-4224-2222-2-2-224-22-44-2-420000000000-222-200000000000000000000000000000000000000000000000000
χ954-4-44-4-444-24-4-44422-42-2-444-242-4-4-2-2222-2-2-222-44-22-4-2400000000002-2-2200000000000000000000000000000000000000000000000000
χ964-4-44-4-444-2-244-4-42222-22-2-2-2-2222-21-1-1-1111-1-2-222-2-2220023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000
χ974-4-44-4-444-2-244-4-42222-22-2-2-2-2222-21-1-1-1111-1-2-222-2-22200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000
χ984-4-44-4-444-2-2-4-4442222-22-2-2-2-2222-21-1-1-1111-122-2-222-2-2000023−2300−2323-111-1−3−33333−3−3000000000000000000000000000000000000000000
χ994-4-44-4-444-2-2-4-4442222-22-2-2-2-2222-21-1-1-1111-122-2-222-2-20000−23230023−23-111-133−3−3−3−333000000000000000000000000000000000000000000
χ1004-4-4-4444-4440000-44-4-44-44-4-4-4444-44-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-20000-442-442-22-424-2-2-4-22-22-222-200000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ1024-4-4-4444-44-20000-442-442-22-424-2-2-4-22-22-222-200000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ1034-4-4-4444-4-2400002-2-42-2-44-42-4-2442-22-22-222-200000000000000000000000000000000000000000000006−6−66−666−6000000000000000000
χ1044-4-4-4444-4-2400002-2-42-2-44-42-4-2442-22-22-222-20000000000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ105888-8-8-88-8-4-40000-44-4-4-4-4-4444444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-40000-44-44444-444-4-44-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-400004-44-44-44-44444-4-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-400004-444-44-4444-4-4-442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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