Finite Group Databasebeta

← Group #11810268

Character table — Group #11810268

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212124444444444121212121212121222224412121212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-11111-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-111-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1111111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11
χ17222222222-1222-1-1-12-12-12-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002200000000000002-1-100-1-100-1-1-1-100000
χ18222222222-1222-1-1-12-12-12-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-20000000000000-211001100111100000
χ19222222222-1222-1-1-12-12-12-12-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-11111111122220000-2-20000000000000-211001100-1-1-1-100000
χ20222222222-1222-1-1-12-12-12-12-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-111111111-2-2-2-200002200000000000002-1-100-1-100111100000
χ21222222222-1222-1-1-12-12-12-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-1-1-2-2111111-1-1-1-1111122-2-20000220000000000000-21100-1-100-1-11100000
χ22222222222-1222-1-1-12-12-12-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-1-1-2-2111111-1-1-1-11111-2-2220000-2-200000000000002-1-100110011-1-100000
χ23222222222-1222-1-1-12-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-122-2-20000-2-200000000000002-1-1001100-1-11100000
χ24222222222-1222-1-1-12-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-1-2-2220000220000000000000-21100-1-10011-1-100000
χ2522222222-12-1-1-1222-12-12-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200-1-1-1-1-1-1-1-100002000-1-100-1-1000000000
χ2622222222-12-1-1-1222-12-12-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200111111110000-2000110011000000000
χ2722222222-12-1-1-1222-12-12-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-22211-2-211-2-2-1-1-1-111111111000022-2-200-1-1-1-1-1-1-1-10000-2000110011000000000
χ2822222222-12-1-1-1222-12-12-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-211-2-2-1-1-1-1111111110000-2-222001111111100002000-1-100-1-1000000000
χ2922222222-12-1-1-1222-12-12-12-12-1-2-222-1-1-1-1-1-1-111112222-2-2-2-1-12211-2-21111-1-1-1-111110000-2-222001111-1-1-1-10000-2000-1-10011000000000
χ3022222222-12-1-1-1222-12-12-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-1-12211-2-21111-1-1-1-11111000022-2-200-1-1-1-11111000020001100-1-1000000000
χ3122222222-12-1-1-1222-12-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-2-1-12211111111-1-1-1-10000-2-2-2-2001111-1-1-1-1000020001100-1-1000000000
χ3222222222-12-1-1-1222-12-12-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-2-1-12211111111-1-1-1-10000222200-1-1-1-111110000-2000-1-10011000000000
χ33222-22-2-2-22222-222-222-2-2-2-2-2-222-20022-2-22-2-222-2-2000002-20000000022-2-20000000000000000000000000022-2-2000000000000002-2000
χ34222-22-2-2-22222-222-222-2-2-2-2-2-222-20022-2-22-2-222-2-2000002-20000000022-2-200000000000000000000000000-2-22200000000000000-22000
χ35222-22-2-2-22222-222-222-2-2-2-2-2-22-220022-2-22-2-2-2-22200000-2200000000-2-2220000000000000000000000000022-2-200000000000000-22000
χ36222-22-2-2-22222-222-222-2-2-2-2-2-22-220022-2-22-2-2-2-22200000-2200000000-2-22200000000000000000000000000-2-222000000000000002-2000
χ3722-22-22-2-2222-222-22-2-2-2-2-2-2222002i−2i2-22-2-22-2000022-2-20002i−2i2i−2i000000002i2i−2i−2i00000000002i−2i00000022-2-2000000002i−2i0000000000000
χ3822-22-22-2-2222-222-22-2-2-2-2-2-2222002i−2i2-22-2-22-20000-2-2220002i−2i2i−2i000000002i2i−2i−2i0000000000−2i2i000000-2-22200000000−2i2i0000000000000
χ3922-22-22-2-2222-222-22-2-2-2-2-2-222200−2i2i2-22-2-22-2000022-2-2000−2i2i−2i2i00000000−2i−2i2i2i0000000000−2i2i00000022-2-200000000−2i2i0000000000000
χ4022-22-22-2-2222-222-22-2-2-2-2-2-222200−2i2i2-22-2-22-20000-2-222000−2i2i−2i2i00000000−2i−2i2i2i00000000002i−2i000000-2-222000000002i−2i0000000000000
χ4122-22-22-2-2-12-11-12-221-21-21-2-12-1002i−2i-11-111-113−33−322-2-2000−ii2i−2i−i3i3003−33−3−i−iii−i3−i3i3i30000002i−2i0033−3−3-1-11100000000−ii00−i3i3000000000
χ4222-22-22-2-2-12-11-12-221-21-21-2-12-1002i−2i-11-111-113−33−3-2-222000−ii2i−2i−i3i3003−33−3−i−iii−i3−i3i3i3000000−2i2i00−3−33311-1-100000000i−i00i3−i3000000000
χ4322-22-22-2-2-12-11-12-221-21-21-2-12-1002i−2i-11-111-11−33−3322-2-2000−ii2i−2ii3−i300−33−33−i−iiii3i3−i3−i30000002i−2i00−3−333-1-11100000000−ii00i3−i3000000000
χ4422-22-22-2-2-12-11-12-221-21-21-2-12-1002i−2i-11-111-11−33−33-2-222000−ii2i−2ii3−i300−33−33−i−iiii3i3−i3−i3000000−2i2i0033−3−311-1-100000000i−i00−i3i3000000000
χ4522-22-22-2-2-12-11-12-221-21-21-2-12-100−2i2i-11-111-113−33−322-2-2000i−i−2i2ii3−i3003−33−3ii−i−ii3i3−i3−i3000000−2i2i0033−3−3-1-11100000000i−i00i3−i3000000000
χ4622-22-22-2-2-12-11-12-221-21-21-2-12-100−2i2i-11-111-113−33−3-2-222000i−i−2i2ii3−i3003−33−3ii−i−ii3i3−i3−i30000002i−2i00−3−33311-1-100000000−ii00−i3i3000000000
χ4722-22-22-2-2-12-11-12-221-21-21-2-12-100−2i2i-11-111-11−33−3322-2-2000i−i−2i2i−i3i300−33−33ii−i−i−i3−i3i3i3000000−2i2i00−3−333-1-11100000000i−i00−i3i3000000000
χ4822-22-22-2-2-12-11-12-221-21-21-2-12-100−2i2i-11-111-11−33−33-2-222000i−i−2i2i−i3i300−33−33ii−i−i−i3−i3i3i30000002i−2i0033−3−311-1-100000000−ii00i3−i3000000000
χ492-22-2-22-2222-22-2-22-2-2-2-2-2222220000-22-2-2-22200002-22-200000000000000000000000000000002-200002-22-200000000002-2000000002-20
χ502-22-2-22-2222-22-2-22-2-2-2-2-2222220000-22-2-2-22200002-22-20000000000000000000000000000000-2200002-22-20000000000-2200000000-220
χ512-22-2-22-2222-22-2-22-2-2-2-2-2222220000-22-2-2-2220000-22-2200000000000000000000000000000002-20000-22-2200000000002-200000000-220
χ522-22-2-22-2222-22-2-22-2-2-2-2-2222220000-22-2-2-2220000-22-220000000000000000000000000000000-220000-22-220000000000-22000000002-20
χ532-2-222-2-2222-2-22-2-2222-2-222-2-220000-2-22-22-220000000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i00002-22-20000000000002i−2i00000
χ542-2-222-2-2222-2-22-2-2222-2-222-2-220000-2-22-22-220000000000000000000000000000000002i−2i−2i2i0000−2i2i−2i2i0000-22-220000000000002i−2i00000
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χ562-2-222-2-2222-2-22-2-2222-2-222-2-220000-2-22-22-22000000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i00002-22-2000000000000−2i2i00000
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χ974-4-444-4-444-2-4-4422-24-2-424-2-42-2000022-22-22-20000000000000000000000000000000004i−4i000000000000000000000000000000−2i2i00000
χ984-4-444-4-444-2-4-4422-24-2-424-2-42-2000022-22-22-2000000000000000000000000000000000−4i4i0000000000000000000000000000002i−2i00000
χ994-4-444-4-44-2422-2-4-44-242-4-242-4-2000022-22-22-2000000000000000000000000000000000004i−4i0000−2i2i−2i2i000000000000000000000000000
χ1004-4-444-4-44-2422-2-4-44-242-4-242-4-2000022-22-22-200000000000000000000000000000000000−4i4i00002i−2i2i−2i000000000000000000000000000
χ1014-4-4-4444-44-2-4-4-42224-24-2-424-2-20000222-2-2-2200000000000000000000000000000004-4000000000000000000000000000000-220000000
χ1024-4-4-4444-44-2-4-4-42224-24-2-424-2-20000222-2-2-220000000000000000000000000000000-440000000000000000000000000000002-20000000
χ1034-4-4-4444-4-24222-4-4-4-24-242-4-24-20000222-2-2-2200004-4-440000000000000000000000000000000000000-222-200000000000000000000000
χ1044-4-4-4444-4-24222-4-4-4-24-242-4-24-20000222-2-2-220000-444-400000000000000000000000000000000000002-2-2200000000000000000000000
χ1058-888-8-88-8-4-44-4-44-4-444-4-4444420000-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-88-88-4-44-444-444444-4-4-4-420000-22-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-8-88-4-444-444-4-4-444-4-44420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-4444444-4-4-4-444-4-420000-2-2-2222-2000000000000000000000000000000000000000000000000000000000000000000000000

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