Finite Group Databasebeta

← Group #11824573

Character table — Group #11824573

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244442666666661212121212121212121212121212224444444412121212121212122222246666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-1-1-111-1-1-1-111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1111
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1111111-1-1111
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-11111-1
χ17222222222-122-1-1-122-1-122-1-12-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1220022002200000000000020-1-1-1-100-1-1-1-10000000
χ18222222222-122-1-1-122-1-122-1-12-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2000000000000-2011110011110000000
χ19222222222-122-1-1-122-1-122-1-12-122-2-2-1-1-1-1-1-1-122220000-2-2-2111111-1-1-2-211-1-1-1-111112200-2-20022000000000000-20-1-11100-1-1110000000
χ20222222222-122-1-1-122-1-122-1-12-122-2-2-1-1-1-1-1-1-122220000-2-2-2111111-1-1-2-211-1-1-1-11111-2-2002200-2-20000000000002011-1-10011-1-10000000
χ21222222222-122-1-1-122-1-122-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-21111111122-1-11111-1-1-1-12200-2-200-2-200000000000020-1-1-1-10011110000000
χ22222222222-122-1-1-122-1-122-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-21111111122-1-11111-1-1-1-1-2-200220022000000000000-20111100-1-1-1-10000000
χ23222222222-122-1-1-122-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-111-2-2111111111122002200-2-2000000000000-20-1-1110011-1-10000000
χ24222222222-122-1-1-122-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-111-2-21111111111-2-200-2-200220000000000002011-1-100-1-1110000000
χ2522222222-12-1-1222-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-10000020000-1-10000-1-100000
χ2622222222-12-1-1222-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-200-2-2001111111100000-200001100001100000
χ2722222222-12-1-1222-1-122-1-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-211-2-211112211-2-2-1-1-1-1111100-2-2002200-1-1-1-1-1-1-1-100000-200001100001100000
χ2822222222-12-1-1222-1-122-1-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-211112211-2-2-1-1-1-11111002200-2-200111111110000020000-1-10000-1-100000
χ2922222222-12-1-1222-1-122-1-122-1-1-2-222-1-1-1-1-1-1-111112222-211-2-21111-2-2-1-1221111-1-1-1-1002200-2-200-1-1-1-1111100000-20000-1-100001100000
χ3022222222-12-1-1222-1-122-1-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-211-2-21111-2-2-1-1221111-1-1-1-100-2-20022001111-1-1-1-10000020000110000-1-100000
χ3122222222-12-1-1222-1-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-1-122-1-1-1-1-2-211-2-21111111100-2-200-2-200-1-1-1-111110000020000110000-1-100000
χ3222222222-12-1-1222-1-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-1-122-1-1-1-1-2-211-2-21111111100220022001111-1-1-1-100000-20000-1-100001100000
χ33222-2-2-22-22222222-2-2-2-2-2-2-2-2222i−2i00222-2-2-2-22i2i−2i−2i00000000000002i−2i00002i2i−2i−2i000000000000000000000022-2-200000000000000002i−2i0
χ34222-2-2-22-22222222-2-2-2-2-2-2-2-2222i−2i00222-2-2-2-22i2i−2i−2i00000000000002i−2i00002i2i−2i−2i0000000000000000000000-2-2220000000000000000−2i2i0
χ35222-2-2-22-22222222-2-2-2-2-2-2-2-222−2i2i00222-2-2-2-2−2i−2i2i2i0000000000000−2i2i0000−2i−2i2i2i000000000000000000000022-2-20000000000000000−2i2i0
χ36222-2-2-22-22222222-2-2-2-2-2-2-2-222−2i2i00222-2-2-2-2−2i−2i2i2i0000000000000−2i2i0000−2i−2i2i2i0000000000000000000000-2-22200000000000000002i−2i0
χ3722-222-2-2-2222-22-2-22-22-22-22-2-2200002-2-22-22-200002i2i−2i−2i0000000000000000000000000002-200002i2i−2i−2i0000000000000000002-2002i−2i000
χ3822-222-2-2-2222-22-2-22-22-22-22-2-2200002-2-22-22-200002i2i−2i−2i000000000000000000000000000-2200002i2i−2i−2i000000000000000000-2200−2i2i000
χ3922-222-2-2-2222-22-2-22-22-22-22-2-2200002-2-22-22-20000−2i−2i2i2i0000000000000000000000000002-20000−2i−2i2i2i0000000000000000002-200−2i2i000
χ4022-222-2-2-2222-22-2-22-22-22-22-2-2200002-2-22-22-20000−2i−2i2i2i000000000000000000000000000-220000−2i−2i2i2i000000000000000000-22002i−2i000
χ412-222-22-2-222-22-22-22222-2-2-2-2-22002-2-22-2-2-22200002i−2i2i−2i000000000002-22-2000022-2-2002i−2i0000002i−2i2i−2i000000000000002i−2i00000000000
χ422-222-22-2-222-22-22-22222-2-2-2-2-22002-2-22-2-2-2220000−2i2i−2i2i000000000002-22-2000022-2-200−2i2i000000−2i2i−2i2i00000000000000−2i2i00000000000
χ432-222-22-2-222-22-22-22222-2-2-2-2-2200-22-22-2-2-22200002i−2i2i−2i00000000000-22-220000-2-22200−2i2i0000002i−2i2i−2i00000000000000−2i2i00000000000
χ442-222-22-2-222-22-22-22222-2-2-2-2-2200-22-22-2-2-2220000−2i2i−2i2i00000000000-22-220000-2-222002i−2i000000−2i2i−2i2i000000000000002i−2i00000000000
χ452-222-22-2-2-121-1-22-2-1-12211-2-21-1002-21-1111-1-1−i3i3−i3i32i−2i2i−2i0−i3i300−i3−i3i3i300-112-2−i3i3−i3i3-1-111002i−2i000000−ii−ii33−3−30000000000−ii00003−300000
χ462-222-22-2-2-121-1-22-2-1-12211-2-21-1002-21-1111-1-1−i3i3−i3i3−2i2i−2i2i0−i3i300−i3−i3i3i300-112-2−i3i3−i3i3-1-11100−2i2i000000i−ii−i−3−3330000000000i−i0000−3300000
χ472-222-22-2-2-121-1-22-2-1-12211-2-21-1002-21-1111-1-1i3−i3i3−i32i−2i2i−2i0i3−i300i3i3−i3−i300-112-2i3−i3i3−i3-1-111002i−2i000000−ii−ii−3−3330000000000−ii0000−3300000
χ482-222-22-2-2-121-1-22-2-1-12211-2-21-1002-21-1111-1-1i3−i3i3−i3−2i2i−2i2i0i3−i300i3i3−i3−i300-112-2i3−i3i3−i3-1-11100−2i2i000000i−ii−i33−3−30000000000i−i00003−300000
χ492-222-22-2-2-121-1-22-2-1-12211-2-21-100-221-1111-1-1−i3i3−i3i32i−2i2i−2i0i3−i300i3i3−i3−i3001-1-22−i3i3−i3i311-1-100−2i2i000000−ii−ii33−3−30000000000i−i0000−3300000
χ502-222-22-2-2-121-1-22-2-1-12211-2-21-100-221-1111-1-1−i3i3−i3i3−2i2i−2i2i0i3−i300i3i3−i3−i3001-1-22−i3i3−i3i311-1-1002i−2i000000i−ii−i−3−3330000000000−ii00003−300000
χ512-222-22-2-2-121-1-22-2-1-12211-2-21-100-221-1111-1-1i3−i3i3−i32i−2i2i−2i0−i3i300−i3−i3i3i3001-1-22i3−i3i3−i311-1-100−2i2i000000−ii−ii−3−3330000000000i−i00003−300000
χ522-222-22-2-2-121-1-22-2-1-12211-2-21-100-221-1111-1-1i3−i3i3−i3−2i2i−2i2i0−i3i300−i3−i3i3i3001-1-22i3−i3i3−i311-1-1002i−2i000000i−ii−i33−3−30000000000−ii0000−3300000
χ532-2-22-2-22222-2-2-2-222-22-2-22-22220000-2-22-222-200002-2-2200000000000000000000000000000002-22-2-2200002-22-2000000002-2000000000
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χ934-44-44-4-44-2-22-22-222222-2-2-2-2210000-11-111-1-123−23−23230000000−2i32i3i3−i3−i3i3000000−333−3−3i3i3i−3i00000000000000000000000000000000000000000
χ944-44-44-4-44-2-22-22-222222-2-2-2-2210000-11-111-1-123−23−232300000002i3−2i3−i3i3i3−i3000000−333−33i−3i−3i3i00000000000000000000000000000000000000000
χ954-44-44-4-44-2-22-22-222222-2-2-2-2210000-11-111-1-1−232323−230000000−2i32i3i3−i3−i3i30000003−3−333i−3i−3i3i00000000000000000000000000000000000000000
χ964-44-44-4-44-2-22-22-222222-2-2-2-2210000-11-111-1-1−232323−2300000002i3−2i3−i3i3i3−i30000003−3−33−3i3i3i−3i00000000000000000000000000000000000000000
χ974-4-44-4-4444-2-4-422-24-4-22-442-24-2000022-22-2-220000000000000000000000000000000000000004-400000000000000000000-22000000000
χ984-4-44-4-4444-2-4-422-24-4-22-442-24-2000022-22-2-22000000000000000000000000000000000000000-44000000000000000000002-2000000000
χ994-4-44-4-444-2422-4-44-224-42-2-44-2-2000022-22-2-2200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1004-4-44-4-444-2422-4-44-224-42-2-44-2-2000022-22-2-220000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ1014-4-4-4444-44-2-4-422-2-442-24-4-224-2000022-2-222-200000000000000000000000000000004-40000000000000000000000-22000000000000000
χ1024-4-4-4444-44-2-4-422-2-442-24-4-224-2000022-2-222-20000000000000000000000000000000-4400000000000000000000002-2000000000000000
χ1034-4-4-4444-4-2422-4-442-2-44-224-4-2-2000022-2-222-200000000000000000000000000000000000004-4000000-22-2200000000000000000000000
χ1044-4-4-4444-4-2422-4-442-2-44-224-4-2-2000022-2-222-20000000000000000000000000000000000000-440000002-22-200000000000000000000000
χ10588-888-8-8-8-4-4-44-444-44-44-44-444200002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-44-4444-44-44-44-44200002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-8-888-4-44444-4-44-444-44-4-420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-44444-44-44-4-44-44-420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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