Finite Group Databasebeta

← Group #11788147

Character table — Group #11788147

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122222223344446666666666666636666666121212121212121222666666666666666612121212888888882424242424242424242424242424242444441212121212121212224444
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
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i1-11-11-1
χ1011-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii-11-11-11
χ1111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i-11-11-11
χ1211-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii−ii−i−iii−i−iii1-11-11-1
χ1311-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii1-11-1-11
χ1411-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-11-111-1
χ1511-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-11-111-1
χ1611-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiii−ii−iii−i−iii−i−i1-11-1-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000000000000022-2-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2000000000000000000000000000000000000-2-22200
χ19222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ20222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ21222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-1-2-2-2-211-2-21111111111-1-1-1-10000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ22222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-1-2-2-2-211-2-21111111111-1-1-1-10000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ2322222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ2422222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ2522222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-12-2-211-2-211-2-211111111-1-1-1-122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ2622222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-12-2-211-2-211-2-211111111-1-1-1-1-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ2722-2-2-2-22222-2-2222222-2-2-2-2-2-222-2-2222-2-2-2-22-2-2-2-22222000000000000000000-2-2220000000000000000000000000000000000002-2-2200
χ2822-2-2-2-22222-2-2222222-2-2-2-2-2-222-2-2222-2-2-2-22-2-2-2-22222000000000000000000-2-222000000000000000000000000000000000000-222-200
χ2922-2-2-2-2222-122-2-222-1-1-2-2-21112-1-21-1-1-11111-122-1-1-21-212-222-1-1-2-211-1-1-1-11111-1-11100002i2i−2i−2i00000000−i−i−i−iiiii002i−2i0000−i−iii000000
χ3022-2-2-2-2222-122-2-222-1-1-2-2-21112-1-21-1-1-11111-122-1-1-21-212-222-1-1-2-211-1-1-1-11111-1-1110000−2i−2i2i2i00000000iiii−i−i−i−i00−2i2i0000ii−i−i000000
χ3122-2-2-2-2222-122-2-222-1-1-2-2-21112-1-21-1-1-11111-122-1-1-21-21-22-2-21122-1-11111-1-1-1-1-1-11100002i2i−2i−2i00000000−i−i−i−iiiii00−2i2i0000ii−i−i000000
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χ3422-2-2-2-222-1222-2-2-1-122111-2-2-2-121-2-1-1-11111-1-1-1221-21-22-2-1-12211-2-2-1-1-1-11111-1-111−2i−2i2i2i0000iiii−i−i−i−i00000000−2i2i00ii−i−i0000000000
χ3522-2-2-2-222-1222-2-2-1-122111-2-2-2-121-2-1-1-11111-1-1-1221-21-2-2211-2-2-1-1221111-1-1-1-1-1-1112i2i−2i−2i0000−i−i−i−iiiii00000000−2i2i00ii−i−i0000000000
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χ392-22-22-22-222-22-22-2-2-2-222-22-2-222-222-2-222-2-22-22-22-2-222000000000000000000-22-2200002-22-20000000022-2-222-2-2000000000000000000
χ402-22-22-22-222-22-22-2-2-2-222-22-2-222-222-2-222-2-22-22-22-2-222000000000000000000-22-220000-22-2200000000-2-222-2-222000000000000000000
χ412-22-22-22-22-1-22-22-2-21122-2-1112-1-2-1-111-1-111-1-221-1-212-10000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i31-11-100002-22-200000000-1-111-1-11100000000−i3i3−i3i3000000
χ422-22-22-22-22-1-22-22-2-21122-2-1112-1-2-1-111-1-111-1-221-1-212-10000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i31-11-10000-22-220000000011-1-111-1-100000000i3−i3i3−i3000000
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χ462-22-22-22-2-122-22-211-2-2-1-112-2-2-1212-111-1-111-1-112-2-121-200−i3i300−i3i300−i3i3−i3i3−i3i3−i3i3-11-11−2i2i−2i2i0000ii−i−iii−i−i000000000000−33−330000000000
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χ492-2-22-222-2222-2-22-2-2-2-2-2-22-222222-22-2-2-2-22222-22-2-2-2220000000000000000002-2-222-2-22000022-2-2-2-22200000000000000000000000000
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χ522-2-22-222-222-222-2-2-2-2-2-2-22-222222-22-2-2-2-2222-22-2222-2-2000000000000000000-222-20000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
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χ582-2-22-222-2-122-2-2211-2-211-1-222-12-1-2-11111-1-1-1-112-21-2-1200−i3i300i3−i300−i3i3−i3i3i3−i3i3−i3-111-1-222-2000011-1-1-1-111000000000000i3−i3−i3i30000000000
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χ874-44-44-44-4-2-2-44-442222-2-22-222-2-22-21-1-111-1-112-22-222-2-20000−2i32i300−2i32i3i3i3−i3−i3i3i3−i3−i3-11-11000000000000000000000000000000000000000000
χ884-44-44-44-4-2-2-44-442222-2-22-222-2-22-21-1-111-1-112-22-222-2-200002i3−2i3002i3−2i3−i3−i3i3i3−i3−i3i3i3-11-11000000000000000000000000000000000000000000
χ894-44-4-44-44440000-44-444-4-44-44-4-44-44-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-4-44-444-20000-442-24-4-4-22-2-4242-22-2-222-2200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000
χ914-44-4-44-444-20000-442-24-4-4-22-2-4242-22-2-222-220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000
χ924-44-4-44-44-2400002-2-44-2224-442-4-2-4-22-2-222-2200000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ934-44-4-44-44-2400002-2-44-2224-442-4-2-4-22-2-222-2200000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ944-4-444-4-44440000-44-44-444-44-4-4-4-444-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-444-4-444-20000-442-2-4442-22-42-4-2-22-22-2-2220000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ964-4-444-4-444-20000-442-2-4442-22-42-4-2-22-22-2-2220000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ974-4-444-4-44-2400002-2-442-2-2-44-42-424-22-22-2-222000000000000000000000000000000000000006−6−66−666−600000000000000000000000000
χ984-4-444-4-44-2400002-2-442-2-2-44-42-424-22-22-2-22200000000000000000000000000000000000000−666−66−6−6600000000000000000000000000
χ994-4-44-444-44-24-4-44-4-422-4-442-2-24-242-22222-2-2-24-4-22-424-2000000000000000000-222-2000000000000000000000000000000000000000000
χ1004-4-44-444-4-24-444-422-4-422-2-444-24-2-4-22222-2-2-22-2-44-242-40000000000000000002-2-22000000000000000000000000000000000000000000
χ1014-4-44-444-4-2-24-4-44222222-22-2-2-2-2-221-1-1-1-1111-22-2222-2-200−2i32i3002i3−2i300i3−i3i3−i3−i3i3−i3i31-1-11000000000000000000000000000000000000000000
χ1024-4-44-444-4-2-24-4-44222222-22-2-2-2-2-221-1-1-1-1111-22-2222-2-2002i3−2i300−2i32i300−i3i3−i3i3i3−i3i3−i31-1-11000000000000000000000000000000000000000000
χ1034-4-44-444-4-2-2-444-4222222-22-2-2-2-2-221-1-1-1-11112-22-2-2-2220000−2i32i3002i3−2i3i3i3−i3−i3−i3−i3i3i3-111-1000000000000000000000000000000000000000000
χ1044-4-44-444-4-2-2-444-4222222-22-2-2-2-2-221-1-1-1-11112-22-2-2-22200002i3−2i300−2i32i3−i3−i3i3i3i3i3−i3−i3-111-1000000000000000000000000000000000000000000
χ1058888-8-8-8-8-4-40000-44-44-44-4-4-44444422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-888-8-8-4-40000-44-444-4444-444-4-422-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-400004-44-4-444-44-444-442-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-400004-44-44-4-44-44444-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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