Finite Group Databasebeta

← Group #11819184

Character table — Group #11819184

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212124444444444121212121212121222224412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1111111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-111-1-11
χ101111111111111111111111111-1-1111111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-111-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-111-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-11111111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-11111-1
χ17222222222-122-1-122-12-1-12-1-12-12222-1-1-1-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220022220000000000000020-1-1-1-100-1-1-1-10000000
χ18222222222-122-1-122-12-1-12-1-12-12222-1-1-1-1-1-1-122220000222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-200000000000000-2011110011110000000
χ19222222222-122-1-122-12-1-12-1-12-122-2-2-1-1-1-1-1-1-122220000-2-2-211-2-2-1-111-1-1-1-1111111112200-2-22200000000000000-20-1-11100-1-1110000000
χ20222222222-122-1-122-12-1-12-1-12-122-2-2-1-1-1-1-1-1-122220000-2-2-211-2-2-1-111-1-1-1-111111111-2-20022-2-2000000000000002011-1-10011-1-10000000
χ21222222222-122-1-122-12-1-12-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-2-211111111-1-1-1-111112200-2-2-2-2000000000000002011-1-100-1-1110000000
χ22222222222-122-1-122-12-1-12-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-2-211111111-1-1-1-11111-2-200222200000000000000-20-1-1110011-1-10000000
χ23222222222-122-1-122-12-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-2112211-1-111111111-1-1-1-1220022-2-200000000000000-20111100-1-1-1-10000000
χ24222222222-122-1-122-12-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-2112211-1-111111111-1-1-1-1-2-200-2-2220000000000000020-1-1-1-10011110000000
χ2522222222-12-1-122-1-12-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000022-1-1-1-1-1-1-1-10000020000-1-10000-1-100000
χ2622222222-12-1-122-1-12-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-21111111100000-200001100001100000
χ2722222222-12-1-122-1-12-122-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-211-2-21122-2-2-1-1-1-11111111100-2-2000022-1-1-1-1-1-1-1-100000-200001100001100000
χ2822222222-12-1-122-1-12-122-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-21122-2-2-1-1-1-11111111100220000-2-2111111110000020000-1-10000-1-100000
χ2922222222-12-1-122-1-12-122-122-1-1-2-222-1-1-1-1-1-1-111112222-2-1-12211-2-2-2-21111-1-1-1-1111100220000-2-21111-1-1-1-100000-20000-1-100001100000
χ3022222222-12-1-122-1-12-122-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-1-12211-2-2-2-21111-1-1-1-1111100-2-2000022-1-1-1-111110000020000110000-1-100000
χ3122222222-12-1-122-1-12-122-122-1-1-2-2-2-2-1-1-1-1-1-1-111112222211-2-2-1-1-2-22211111111-1-1-1-100-2-20000-2-21111-1-1-1-10000020000110000-1-100000
χ3222222222-12-1-122-1-12-122-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2211-2-2-1-1-2-22211111111-1-1-1-10022000022-1-1-1-1111100000-20000-1-100001100000
χ332222-2-2-2-2222-2-2-22-2-2-22-2222-2200002-2-2-222-200002i2i−2i−2i0000000000000000000000000002-2000000002i2i−2i−2i000000000000002-200002i−2i0
χ342222-2-2-2-2222-2-2-22-2-2-22-2222-2200002-2-2-222-200002i2i−2i−2i000000000000000000000000000-22000000002i2i−2i−2i00000000000000-220000−2i2i0
χ352222-2-2-2-2222-2-2-22-2-2-22-2222-2200002-2-2-222-20000−2i−2i2i2i0000000000000000000000000002-200000000−2i−2i2i2i000000000000002-20000−2i2i0
χ362222-2-2-2-2222-2-2-22-2-2-22-2222-2200002-2-2-222-20000−2i−2i2i2i000000000000000000000000000-2200000000−2i−2i2i2i00000000000000-2200002i−2i0
χ3722-2-22-22-2222-2-2-2-222-222-2-2-2222i−2i0022-2-2-2-222i2i−2i−2i000000000002i−2i002i2i−2i−2i0000000000000000000000000022-2-2000000000000002i−2i000
χ3822-2-22-22-2222-2-2-2-222-222-2-2-2222i−2i0022-2-2-2-222i2i−2i−2i000000000002i−2i002i2i−2i−2i00000000000000000000000000-2-22200000000000000−2i2i000
χ3922-2-22-22-2222-2-2-2-222-222-2-2-222−2i2i0022-2-2-2-22−2i−2i2i2i00000000000−2i2i00−2i−2i2i2i0000000000000000000000000022-2-200000000000000−2i2i000
χ4022-2-22-22-2222-2-2-2-222-222-2-2-222−2i2i0022-2-2-2-22−2i−2i2i2i00000000000−2i2i00−2i−2i2i2i00000000000000000000000000-2-222000000000000002i−2i000
χ412-22-222-2-222-222-22-2-2-2-22-22-222002i−2i-222-22-2-200002-22-202i−2i2i−2i00000000002i2i−2i−2i0000002i−2i00000000002-22-200000000002i−2i00000000000
χ422-22-222-2-222-222-22-2-2-2-22-22-222002i−2i-222-22-2-20000-22-2202i−2i2i−2i00000000002i2i−2i−2i000000−2i2i0000000000-22-220000000000−2i2i00000000000
χ432-22-222-2-222-222-22-2-2-2-22-22-22200−2i2i-222-22-2-200002-22-20−2i2i−2i2i0000000000−2i−2i2i2i000000−2i2i00000000002-22-20000000000−2i2i00000000000
χ442-22-222-2-222-222-22-2-2-2-22-22-22200−2i2i-222-22-2-20000-22-220−2i2i−2i2i0000000000−2i−2i2i2i0000002i−2i0000000000-22-2200000000002i−2i00000000000
χ452-22-222-2-2-121-12-2-11-21-2212-2-1-1002i−2i1-1-11-1113−33−32-22-20−ii2i−2i−i3i300003−33−3−i−iii−i3−i3i3i3002i−2i00000033−3−3-11-110000000000−ii0000−i3i300000
χ462-22-222-2-2-121-12-2-11-21-2212-2-1-1002i−2i1-1-11-1113−33−3-22-220−ii2i−2i−i3i300003−33−3−i−iii−i3−i3i3i300−2i2i000000−3−3331-11-10000000000i−i0000i3−i300000
χ472-22-222-2-2-121-12-2-11-21-2212-2-1-1002i−2i1-1-11-111−33−332-22-20−ii2i−2ii3−i30000−33−33−i−iiii3i3−i3−i3002i−2i000000−3−333-11-110000000000−ii0000i3−i300000
χ482-22-222-2-2-121-12-2-11-21-2212-2-1-1002i−2i1-1-11-111−33−33-22-220−ii2i−2ii3−i30000−33−33−i−iiii3i3−i3−i300−2i2i00000033−3−31-11-10000000000i−i0000−i3i300000
χ492-22-222-2-2-121-12-2-11-21-2212-2-1-100−2i2i1-1-11-1113−33−32-22-20i−i−2i2ii3−i300003−33−3ii−i−ii3i3−i3−i300−2i2i00000033−3−3-11-110000000000i−i0000i3−i300000
χ502-22-222-2-2-121-12-2-11-21-2212-2-1-100−2i2i1-1-11-1113−33−3-22-220i−i−2i2ii3−i300003−33−3ii−i−ii3i3−i3−i3002i−2i000000−3−3331-11-10000000000−ii0000−i3i300000
χ512-22-222-2-2-121-12-2-11-21-2212-2-1-100−2i2i1-1-11-111−33−332-22-20i−i−2i2i−i3i30000−33−33ii−i−i−i3−i3i3i300−2i2i000000−3−333-11-110000000000i−i0000−i3i300000
χ522-22-222-2-2-121-12-2-11-21-2212-2-1-100−2i2i1-1-11-111−33−33-22-220i−i−2i2i−i3i30000−33−33ii−i−i−i3−i3i3i3002i−2i00000033−3−31-11-10000000000−ii0000i3−i300000
χ532-22-2-2-22222-2-2-222222-2-2-22-2-220000-2-2-222-2200002i−2i−2i2i000000000000000000000000000002i−2i0000002i−2i−2i2i2-22-2002i−2i000000000000000
χ542-22-2-2-22222-2-2-222222-2-2-22-2-220000-2-2-222-2200002i−2i−2i2i00000000000000000000000000000−2i2i0000002i−2i−2i2i-22-2200−2i2i000000000000000
χ552-22-2-2-22222-2-2-222222-2-2-22-2-220000-2-2-222-220000−2i2i2i−2i000000000000000000000000000002i−2i000000−2i2i2i−2i-22-22002i−2i000000000000000
χ562-22-2-2-22222-2-2-222222-2-2-22-2-220000-2-2-222-220000−2i2i2i−2i00000000000000000000000000000−2i2i000000−2i2i2i−2i2-22-200−2i2i000000000000000
χ572-2-22-222-222-222-2-222-2-2-22-22-220000-2-22-2-22200000000000000000000000000000002i−2i0000002i−2i2i−2i2i−2i00002-2-22000000002i−2i000000000
χ582-2-22-222-222-222-2-222-2-2-22-22-220000-2-22-2-22200000000000000000000000000000002i−2i000000−2i2i−2i2i−2i2i0000-222-2000000002i−2i000000000
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χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-200004-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-4222222-2-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444111111122220000-4-2-2-2-2222222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-411111112222000042222-2-222-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000
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χ844-44-444-4-4-2-22-2-22-22222-22-22-21004i−4i-111-11-1-123−2323−2300000−2i2i−2i2i−2i32i30000−33−33ii−i−ii3i3−i3−i300000000000000000000000000000000000000000
χ854-44-444-4-4-2-22-2-22-22222-22-22-21004i−4i-111-11-1-1−2323−232300000−2i2i−2i2i2i3−2i300003−33−3ii−i−i−i3−i3i3i300000000000000000000000000000000000000000
χ864-44-444-4-4-2-22-2-22-22222-22-22-2100−4i4i-111-11-1-123−2323−23000002i−2i2i−2i2i3−2i30000−33−33−i−iii−i3−i3i3i300000000000000000000000000000000000000000
χ874-44-444-4-4-2-22-2-22-22222-22-22-2100−4i4i-111-11-1-1−2323−2323000002i−2i2i−2i−2i32i300003−33−3−i−iiii3i3−i3−i300000000000000000000000000000000000000000
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χ924-4-444-4-4444-4-4-44-4-4-44-444-44440000-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-444-4-444-2-4-42-2-4-4242-242-24-200002-22-22-220000000000000000023−230000000023−23−232300000000000000000000000000000000000000000
χ944-4-444-4-444-2-4-42-2-4-4242-242-24-200002-22-22-2200000000000000000−232300000000−232323−2300000000000000000000000000000000000000000
χ954-4-444-4-44-2422-4422-4-2-44-2-44-2-200002-22-22-22−2i32i32i3−2i3000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000
χ964-4-444-4-44-2422-4422-4-2-44-2-44-2-200002-22-22-222i3−2i3−2i32i30000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000
χ974-4-444-4-44-2-2222-2222-22-2-22-2-210000-11-11-11-1−2i32i32i3−2i3000000000000023−23i3−i3−i3i33i−3i−3i3i−333−300000000000000000000000000000000000000000
χ984-4-444-4-44-2-2222-2222-22-2-22-2-210000-11-11-11-1−2i32i32i3−2i30000000000000−2323i3−i3−i3i3−3i3i3i−3i3−3−3300000000000000000000000000000000000000000
χ994-4-444-4-44-2-2222-2222-22-2-22-2-210000-11-11-11-12i3−2i3−2i32i3000000000000023−23−i3i3i3−i3−3i3i3i−3i−333−300000000000000000000000000000000000000000
χ1004-4-444-4-44-2-2222-2222-22-2-22-2-210000-11-11-11-12i3−2i3−2i32i30000000000000−2323−i3i3i3−i33i−3i−3i3i3−3−3300000000000000000000000000000000000000000
χ1014-4-44-444-44-2-44-22-44-2-42242-2-4-2000022-222-2-200000000000000000000000000000004i−4i0000000000000000000000000000−2i2i000000000
χ1024-4-44-444-44-2-44-22-44-2-42242-2-4-2000022-222-2-20000000000000000000000000000000−4i4i00000000000000000000000000002i−2i000000000
χ1034-4-44-444-4-242-24-42-242-4-4-2-442-2000022-222-2-20000000000000000000000000000000000000004i−4i−2i2i−2i2i000000000000000000000000000
χ1044-4-44-444-4-242-24-42-242-4-4-2-442-2000022-222-2-2000000000000000000000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000000
χ1058888-8-8-8-8-4-4-4444-4444-44-4-4-44200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-4-4-4-4444-4-444444200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-4444-4-4-4-4-4444-44420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-888-8-4-44-4-444-4-4444-44-4420000-2-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000

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