Finite Group Databasebeta

← Group #11824574

Character table — Group #11824574

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212122222266666666121212121212121212121212121222444444446666121212124444246666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-11
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-111-1-11
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-111-1
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1111
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1111
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-11111-1
χ17222222222-1222-1-1-12-1-122-1-12-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1220022002200000000000020-1-1-1-10000-1-1-1-100000
χ18222222222-1222-1-1-12-1-122-1-12-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-2000000000000-2011110000111100000
χ19222222222-1222-1-1-12-1-122-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-2-211111122-1-111-1-1-1-111112200-2-20022000000000000-20-1-1110000-1-11100000
χ20222222222-1222-1-1-12-1-122-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-2-211111122-1-111-1-1-1-11111-2-2002200-2-20000000000002011-1-1000011-1-100000
χ21222222222-1222-1-1-12-1-122-1-12-1-2-222-1-1-1-1-1-1-122220000-2-2-2111111-2-211-1-11111-1-1-1-12200-2-200-2-200000000000020-1-1-1-10000111100000
χ22222222222-1222-1-1-12-1-122-1-12-1-2-222-1-1-1-1-1-1-122220000-2-2-2111111-2-211-1-11111-1-1-1-1-2-200220022000000000000-2011110000-1-1-1-100000
χ23222222222-1222-1-1-12-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-1-2-211111111111122002200-2-2000000000000-20-1-111000011-1-100000
χ24222222222-1222-1-1-12-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-1-2-2111111111111-2-200-2-200220000000000002011-1-10000-1-11100000
χ2522222222-12-1-1-1222-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-10000020000-1-1-1-1000000000
χ2622222222-12-1-1-1222-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2-2001111111100000-200001111000000000
χ2722222222-12-1-1-1222-122-1-122-1-122-2-2-1-1-1-1-1-1-111112222-211-2-21111-1-122-2-2-1-1-1-1111100-2-2002200-1-1-1-1111100000-20000-1-111000000000
χ2822222222-12-1-1-1222-122-1-122-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-211-2-21111-1-122-2-2-1-1-1-11111002200-2-2001111-1-1-1-1000002000011-1-1000000000
χ2922222222-12-1-1-1222-122-1-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-211-2-2111111-2-2221111-1-1-1-1002200-2-200-1-1-1-1-1-1-1-100000-200001111000000000
χ3022222222-12-1-1-1222-122-1-122-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-2111111-2-2221111-1-1-1-100-2-2002200111111110000020000-1-1-1-1000000000
χ3122222222-12-1-1-1222-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-1-122-1-1-1-111-2-2-2-21111111100-2-200-2-200-1-1-1-11111000002000011-1-1000000000
χ3222222222-12-1-1-1222-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-1-122-1-1-1-111-2-2-2-21111111100220022001111-1-1-1-100000-20000-1-111000000000
χ33222-2-2-2-222222-2222-2-2-22-2-2-2-222i−2i00222-2-2-2-2000022-2-20000000002i−2i2i−2i002i2i−2i−2i00000000002i−2i0022-2-2000000000000002i−2i00000000000
χ34222-2-2-2-222222-2222-2-2-22-2-2-2-222i−2i00222-2-2-2-20000-2-2220000000002i−2i2i−2i002i2i−2i−2i0000000000−2i2i00-2-22200000000000000−2i2i00000000000
χ35222-2-2-2-222222-2222-2-2-22-2-2-2-22−2i2i00222-2-2-2-2000022-2-2000000000−2i2i−2i2i00−2i−2i2i2i0000000000−2i2i0022-2-200000000000000−2i2i00000000000
χ36222-2-2-2-222222-2222-2-2-22-2-2-2-22−2i2i00222-2-2-2-20000-2-222000000000−2i2i−2i2i00−2i−2i2i2i00000000002i−2i00-2-222000000000000002i−2i00000000000
χ37222-2-2-2-22-12-1-112221-2-2-11-2-21-12i−2i00-1-1-1111133−3−322-2-20−i3i300−i3−i3i3i3−ii2i−2i00−i−iii33−3−30000002i−2i00-1-11133−3−30000000000−ii−i3i3000000000
χ38222-2-2-2-22-12-1-112221-2-2-11-2-21-12i−2i00-1-1-1111133−3−3-2-2220−i3i300−i3−i3i3i3−ii2i−2i00−i−iii33−3−3000000−2i2i0011-1-1−3−3330000000000i−ii3−i3000000000
χ39222-2-2-2-22-12-1-112221-2-2-11-2-21-12i−2i00-1-1-11111−3−33322-2-20i3−i300i3i3−i3−i3−ii2i−2i00−i−iii−3−3330000002i−2i00-1-111−3−3330000000000−iii3−i3000000000
χ40222-2-2-2-22-12-1-112221-2-2-11-2-21-12i−2i00-1-1-11111−3−333-2-2220i3−i300i3i3−i3−i3−ii2i−2i00−i−iii−3−333000000−2i2i0011-1-133−3−30000000000i−i−i3i3000000000
χ41222-2-2-2-22-12-1-112221-2-2-11-2-21-1−2i2i00-1-1-1111133−3−322-2-20i3−i300i3i3−i3−i3i−i−2i2i00ii−i−i33−3−3000000−2i2i00-1-11133−3−30000000000i−ii3−i3000000000
χ42222-2-2-2-22-12-1-112221-2-2-11-2-21-1−2i2i00-1-1-1111133−3−3-2-2220i3−i300i3i3−i3−i3i−i−2i2i00ii−i−i33−3−30000002i−2i0011-1-1−3−3330000000000−ii−i3i3000000000
χ43222-2-2-2-22-12-1-112221-2-2-11-2-21-1−2i2i00-1-1-11111−3−33322-2-20−i3i300−i3−i3i3i3i−i−2i2i00ii−i−i−3−333000000−2i2i00-1-111−3−3330000000000i−i−i3i3000000000
χ44222-2-2-2-22-12-1-112221-2-2-11-2-21-1−2i2i00-1-1-11111−3−333-2-2220−i3i300−i3−i3i3i3i−i−2i2i00ii−i−i−3−3330000002i−2i0011-1-133−3−30000000000−iii3−i3000000000
χ4522-222-2-2-2222-2-22-2-2222-2-2-2-222002-22-2-2-2-2222-22-2000000000000000002-200002-22-20000000000000000002i2i−2i−2i000000000000002i−2i000
χ4622-222-2-2-2222-2-22-2-2222-2-2-2-222002-22-2-2-2-2222-22-2000000000000000002-200002-22-2000000000000000000−2i−2i2i2i00000000000000−2i2i000
χ4722-222-2-2-2222-2-22-2-2222-2-2-2-22200-222-2-2-2-222-22-2200000000000000000-220000-22-220000000000000000002i2i−2i−2i00000000000000−2i2i000
χ4822-222-2-2-2222-2-22-2-2222-2-2-2-22200-222-2-2-2-222-22-2200000000000000000-220000-22-22000000000000000000−2i−2i2i2i000000000000002i−2i000
χ492-222-22-2-222-222-22-222-2-2-22-2-220000-22-22-22-20000000000000000000000000000000002i−2i2-2000000002i−2i2i−2i2i−2i2i−2i0000000000002-200000
χ502-222-22-2-222-222-22-222-2-2-22-2-220000-22-22-22-20000000000000000000000000000000002i−2i-22000000002i−2i2i−2i−2i2i−2i2i000000000000-2200000
χ512-222-22-2-222-222-22-222-2-2-22-2-220000-22-22-22-2000000000000000000000000000000000−2i2i2-200000000−2i2i−2i2i−2i2i−2i2i0000000000002-200000
χ522-222-22-2-222-222-22-222-2-2-22-2-220000-22-22-22-2000000000000000000000000000000000−2i2i-2200000000−2i2i−2i2i2i−2i2i−2i000000000000-2200000
χ532-2-22-2-22222-2-2-2-2-2222-222-22-220000-2-22-222-200002-22-200000000000000000000000000000002-22-22-200002-2-2200000000002-20000000
χ542-2-22-2-22222-2-2-2-2-2222-222-22-220000-2-22-222-200002-22-20000000000000000000000000000000-222-22-20000-222-20000000000-220000000
χ552-2-22-2-22222-2-2-2-2-2222-222-22-220000-2-22-222-20000-22-2200000000000000000000000000000002-2-22-220000-222-200000000002-20000000
χ562-2-22-2-22222-2-2-2-2-2222-222-22-220000-2-22-222-20000-22-220000000000000000000000000000000-22-22-2200002-2-220000000000-220000000
χ572-2-2-222-2222-2-22-2-22-2-222-22-2220000-2-222-2-2200002-2-22000000000000000000000002-2000000002-2-2200000000002-20000000000002-20
χ582-2-2-222-2222-2-22-2-22-2-222-22-2220000-2-222-2-2200002-2-2200000000000000000000000-22000000002-2-220000000000-22000000000000-220
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χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-200004-2-2-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4111111122220000-42222-1-1-1-1-2-2-2-2221111-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4441111111-2-2-2-20000-42222-1-1-1-12222-2-2-1-1-1-1111100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111222200004-2-2-2-21111222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
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χ8744-4-4-444-4-2-2-22-2-2222222-2-2-22100001-1-111-1-1−232323−2300000002i3−2i3−i3i3i3−i3000000−3i3i3i−3i3−3−3300000000000000000000000000000000000000000
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χ954-44-44-44-4-242-22-44-42-442-2-44-2-200002-222-22-2000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ964-44-44-44-4-242-22-44-42-442-2-44-2-200002-222-22-20000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ974-4-44-4-4444-2-4-4-422-24-22442-2-4-2000022-22-2-220000000000000000000000000000000000000004-40000000000000000000000-220000000
χ984-4-44-4-4444-2-4-4-422-24-22442-2-4-2000022-22-2-22000000000000000000000000000000000000000-4400000000000000000000002-20000000
χ994-4-44-4-444-24222-4-44-24-4-2-2-442-2000022-22-2-2200004-44-4000000000000000000000000000000000-22-22000000000000000000000000000
χ1004-4-44-4-444-24222-4-44-24-4-2-2-442-2000022-22-2-220000-44-440000000000000000000000000000000002-22-2000000000000000000000000000
χ1014-4-4-444-444-2-4-4422-2-42-24-4-224-2000022-2-222-200000000000000000000000000000004-40000000000000000000000-22000000000000000
χ1024-4-4-444-444-2-4-4422-2-42-24-4-224-2000022-2-222-20000000000000000000000000000000-4400000000000000000000002-2000000000000000
χ1034-4-4-444-44-2422-2-4-442-44-224-4-2-2000022-2-222-200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1044-4-4-444-44-2422-2-4-442-44-224-4-2-2000022-2-222-20000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ1058-888-88-8-8-4-44-4-44-44-4-4444-44420000-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-88-88-8-4-44-444-4444-44-44-4-420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-8-888-4-444444-4-4-44-4-44-4420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-444-444-444-4-44-44-420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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