Finite Group Databasebeta

← Group #11817824

Character table — Group #11817824

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121244444444441212121212121212444424661212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1111
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1111
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1111111-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-111-1-1-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1
χ17222222222-1222-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1220022002200000000000020-1-1-1-1-1-10000-1-100000
χ18222222222-1222-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2000000000000-2011111100001100000
χ19222222222-1222-1-1-1-122-1-122-1-122-2-2-1-1-1-1-1-1-122220000-211-2-2-1-1-2-2111111-1-1-1-111112200-2-200-2-200000000000020-1-1-1-11100001100000
χ20222222222-1222-1-1-1-122-1-122-1-122-2-2-1-1-1-1-1-1-122220000-211-2-2-1-1-2-2111111-1-1-1-11111-2-200220022000000000000-201111-1-10000-1-100000
χ21222222222-1222-1-1-1-122-1-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-21122-1-111111111-1-1-1-122002200-2-2000000000000-2011-1-1110000-1-100000
χ22222222222-1222-1-1-1-122-1-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-21122-1-111111111-1-1-1-1-2-200-2-2002200000000000020-1-111-1-100001100000
χ23222222222-1222-1-1-1-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-12211-2-211-1-1-1-1111111112200-2-20022000000000000-2011-1-1-1-100001100000
χ24222222222-1222-1-1-1-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-12211-2-211-1-1-1-111111111-2-2002200-2-200000000000020-1-111110000-1-100000
χ2522222222-12-1-1-12222-1-122-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-1000002000000-1-1-1-10000000
χ2622222222-12-1-1-12222-1-122-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2001111111100000-200000011110000000
χ2722222222-12-1-1-12222-1-122-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-2112211-2-21111-1-1-1-1111100-2-2002200-1-1-1-1-1-1-1-100000-200000011110000000
χ2822222222-12-1-1-12222-1-122-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2112211-2-21111-1-1-1-11111002200-2-20011111111000002000000-1-1-1-10000000
χ2922222222-12-1-1-12222-1-122-1-12-1-2-222-1-1-1-1-1-1-111112222-2-2-211-2-2-1-12211111111-1-1-1-1002200-2-200-1-1-1-1111100000-2000000-1-1110000000
χ3022222222-12-1-1-12222-1-122-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-211-2-2-1-12211111111-1-1-1-100-2-20022001111-1-1-1-100000200000011-1-10000000
χ3122222222-12-1-1-12222-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-111112222222-1-1-2-211-2-2-1-1-1-11111111100-2-200-2-200-1-1-1-1111100000200000011-1-10000000
χ3222222222-12-1-1-12222-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-1-1-2-211-2-2-1-1-1-11111111100220022001111-1-1-1-100000-2000000-1-1110000000
χ33222-22-2-2-22222-22-2-2-2-2-22-2-2222000022-2-2-2-2200002i2i−2i−2i000000000000000000000002-2000000002i2i−2i−2i0000000000002-200000000002i−2i0
χ34222-22-2-2-22222-22-2-2-2-2-22-2-2222000022-2-2-2-2200002i2i−2i−2i00000000000000000000000-22000000002i2i−2i−2i000000000000-220000000000−2i2i0
χ35222-22-2-2-22222-22-2-2-2-2-22-2-2222000022-2-2-2-220000−2i−2i2i2i000000000000000000000002-200000000−2i−2i2i2i0000000000002-20000000000−2i2i0
χ36222-22-2-2-22222-22-2-2-2-2-22-2-2222000022-2-2-2-220000−2i−2i2i2i00000000000000000000000-2200000000−2i−2i2i2i000000000000-2200000000002i−2i0
χ3722-22-2-2-22222-2-22-2-222-2-222-2-222i−2i002-22-2-22-22i2i−2i−2i0000000002i−2i000000002i2i−2i−2i00000000000000000000002i2i−2i−2i000000000000002-2000
χ3822-22-2-2-22222-2-22-2-222-2-222-2-222i−2i002-22-2-22-22i2i−2i−2i0000000002i−2i000000002i2i−2i−2i0000000000000000000000−2i−2i2i2i00000000000000-22000
χ3922-22-2-2-22222-2-22-2-222-2-222-2-22−2i2i002-22-2-22-2−2i−2i2i2i000000000−2i2i00000000−2i−2i2i2i00000000000000000000002i2i−2i−2i00000000000000-22000
χ4022-22-2-2-22222-2-22-2-222-2-222-2-22−2i2i002-22-2-22-2−2i−2i2i2i000000000−2i2i00000000−2i−2i2i2i0000000000000000000000−2i−2i2i2i000000000000002-2000
χ412-222-2-22-222-22-2-22-22-222-22-2-22002i−2i-22-22-22-200002i−2i2i−2i00000002i−2i2i−2i000000002i2i−2i−2i002-20000002i−2i2i−2i00000000000000002-2000000000
χ422-222-2-22-222-22-2-22-22-222-22-2-22002i−2i-22-22-22-20000−2i2i−2i2i00000002i−2i2i−2i000000002i2i−2i−2i00-22000000−2i2i−2i2i0000000000000000-22000000000
χ432-222-2-22-222-22-2-22-22-222-22-2-2200−2i2i-22-22-22-200002i−2i2i−2i0000000−2i2i−2i2i00000000−2i−2i2i2i00-220000002i−2i2i−2i0000000000000000-22000000000
χ442-222-2-22-222-22-2-22-22-222-22-2-2200−2i2i-22-22-22-20000−2i2i−2i2i0000000−2i2i−2i2i00000000−2i−2i2i2i002-2000000−2i2i−2i2i00000000000000002-2000000000
χ452-222-2-22-2-121-11-22-221-12-2-11-2-1002i−2i1-11-11-113−33−32i−2i2i−2i000−i3i300−ii2i−2i−i3−i3i3i33−33−3−i−iii002-2000000−ii−ii−i3−i3i3i3000000000000-113−30000000
χ462-222-2-22-2-121-11-22-221-12-2-11-2-1002i−2i1-11-11-113−33−3−2i2i−2i2i000−i3i300−ii2i−2i−i3−i3i3i33−33−3−i−iii00-22000000i−ii−ii3i3−i3−i30000000000001-1−330000000
χ472-222-2-22-2-121-11-22-221-12-2-11-2-1002i−2i1-11-11-11−33−332i−2i2i−2i000i3−i300−ii2i−2ii3i3−i3−i3−33−33−i−iii002-2000000−ii−iii3i3−i3−i3000000000000-11−330000000
χ482-222-2-22-2-121-11-22-221-12-2-11-2-1002i−2i1-11-11-11−33−33−2i2i−2i2i000i3−i300−ii2i−2ii3i3−i3−i3−33−33−i−iii00-22000000i−ii−i−i3−i3i3i30000000000001-13−30000000
χ492-222-2-22-2-121-11-22-221-12-2-11-2-100−2i2i1-11-11-113−33−32i−2i2i−2i000i3−i300i−i−2i2ii3i3−i3−i33−33−3ii−i−i00-22000000−ii−ii−i3−i3i3i30000000000001-1−330000000
χ502-222-2-22-2-121-11-22-221-12-2-11-2-100−2i2i1-11-11-113−33−3−2i2i−2i2i000i3−i300i−i−2i2ii3i3−i3−i33−33−3ii−i−i002-2000000i−ii−ii3i3−i3−i3000000000000-113−30000000
χ512-222-2-22-2-121-11-22-221-12-2-11-2-100−2i2i1-11-11-11−33−332i−2i2i−2i000−i3i300i−i−2i2i−i3−i3i3i3−33−33ii−i−i00-22000000−ii−iii3i3−i3−i30000000000001-13−30000000
χ522-222-2-22-2-121-11-22-221-12-2-11-2-100−2i2i1-11-11-11−33−33−2i2i−2i2i000−i3i300i−i−2i2i−i3−i3i3i3−33−33ii−i−i002-2000000i−ii−i−i3−i3i3i3000000000000-11−330000000
χ532-22-2-22-2222-222-2-22-22-222-2-2-220000-222-22-2-200002-2-220000000000000000000000000002i−2i00002-2-2200002i−2i2i−2i0000000000002i−2i00000
χ542-22-2-22-2222-222-2-22-22-222-2-2-220000-222-22-2-200002-2-22000000000000000000000000000−2i2i00002-2-220000−2i2i−2i2i000000000000−2i2i00000
χ552-22-2-22-2222-222-2-22-22-222-2-2-220000-222-22-2-20000-222-20000000000000000000000000002i−2i0000-222-20000−2i2i−2i2i0000000000002i−2i00000
χ562-22-2-22-2222-222-2-22-22-222-2-2-220000-222-22-2-20000-222-2000000000000000000000000000−2i2i0000-222-200002i−2i2i−2i000000000000−2i2i00000
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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
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-42222-2-22222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444111111122220000-4222222-2-2-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111222200004-2-2-2-22222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
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χ864-444-4-44-4-2-22-222-22-22-2-22-222100−4i4i-11-11-11-123−2323−2300000002i3−2i3002i−2i2i−2i−i3−i3i3i3−33−33−i−iii00000000000000000000000000000000000000000
χ874-444-4-44-4-2-22-222-22-22-2-22-222100−4i4i-11-11-11-1−2323−23230000000−2i32i3002i−2i2i−2ii3i3−i3−i33−33−3−i−iii00000000000000000000000000000000000000000
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χ924-4-4444-4-444-4-44-4-444-4-4-4-444440000-4-4-4-4444000000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-4444-4-44-2-4-4422-2-2-4-42244-2-200002222-2-2-2000000000−2i32i300000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000
χ944-4-4444-4-44-2-4-4422-2-2-4-42244-2-200002222-2-2-20000000002i3−2i3000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000
χ954-4-4444-4-4-2422-2-4-44422-4-4-2-24-200002222-2-2-2−2i32i32i3−2i30000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000
χ964-4-4444-4-4-2422-2-4-44422-4-4-2-24-200002222-2-2-22i3−2i3−2i32i300000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-222-222-2-22222-2-2-210000-1-1-1-1111−2i32i32i3−2i300000−2i32i300000000i3−i3−i3i3i3−i3−i3i3-333-300000000000000000000000000000000000000000
χ984-4-4444-4-4-2-222-222-2-22222-2-2-210000-1-1-1-1111−2i32i32i3−2i3000002i3−2i300000000−i3i3i3−i3i3−i3−i3i33-3-3300000000000000000000000000000000000000000
χ994-4-4444-4-4-2-222-222-2-22222-2-2-210000-1-1-1-11112i3−2i3−2i32i300000−2i32i300000000i3−i3−i3i3−i3i3i3−i33-3-3300000000000000000000000000000000000000000
χ1004-4-4444-4-4-2-222-222-2-22222-2-2-210000-1-1-1-11112i3−2i3−2i32i3000002i3−2i300000000−i3i3i3−i3−i3i3i3−i3-333-300000000000000000000000000000000000000000
χ1014-4-4-44-4444-2-4-4-42-222442-2-44-2-2000022-2-222-20000000000000000000000000000000000000004-4000000000000000000-2200000000000
χ1024-4-4-44-4444-2-4-4-42-222442-2-44-2-2000022-2-222-2000000000000000000000000000000000000000-440000000000000000002-200000000000
χ1034-4-4-44-444-24222-44-4-4-2-2-442-24-2000022-2-222-200000000000000000000000000000000000004-4000000-22-2200000000000000000000000
χ1044-4-4-44-444-24222-44-4-4-2-2-442-24-2000022-2-222-20000000000000000000000000000000000000-440000002-22-200000000000000000000000
χ105888-88-8-8-8-4-4-4-44-444444-444-4-42000022-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-44-4-4-4-444-444444200002-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-44-4-444-44-44-4-444420000-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-44444-444-4-44-44-4-420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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