Finite Group Databasebeta

← Group #11817770

Character table — Group #11817770

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666662234466666666666444446666661212121212121212121212121212121244444444441212121212121212444424661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-11
χ6111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-111-1-11
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1111
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111-1-1111
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111111111-1
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-11-11111-1-111-1-1-1-11111-1
χ17222222222-1222-1-1-12-122-1-1-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1002200222200000000000020-1-10000-1-1-1-1-1-100000
χ18222222222-1222-1-1-12-122-1-1-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-200-2-2-2-2000000000000-2011000011111100000
χ19222222222-1222-1-1-12-122-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-111-2-211-2-211111111002200-2-2-2-200000000000020-1-100001111-1-100000
χ20222222222-1222-1-1-12-122-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-111-2-211-2-21111111100-2-2002222000000000000-20110000-1-1-1-11100000
χ21222222222-1222-1-1-12-122-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-2111111-1-1-2-21122-1-1-1-11111002200-2-222000000000000-20110000-1-111-1-100000
χ22222222222-1222-1-1-12-122-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-2111111-1-1-2-21122-1-1-1-1111100-2-20022-2-200000000000020-1-1000011-1-11100000
χ23222222222-1222-1-1-12-122-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1000021111111122-1-1-2-21111-1-1-1-100220022-2-2000000000000-2011000011-1-1-1-100000
χ24222222222-1222-1-1-12-122-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1000021111111122-1-1-2-21111-1-1-1-100-2-200-2-22200000000000020-1-10000-1-1111100000
χ2522222222-12-1-1-1222-12-1-1222-122-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-100000200-1-1-1-100000000000
χ2622222222-12-1-1-1222-12-1-1222-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-200001111111100000-200111100000000000
χ2722222222-12-1-1-1222-12-1-1222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-1-1-1-1-2-211-2-21111111111-2-200220000-1-1-1-1-1-1-1-100000-200111100000000000
χ2822222222-12-1-1-1222-12-1-1222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-1-1-1-1-2-211-2-211111111112200-2-200001111111100000200-1-1-1-100000000000
χ2922222222-12-1-1-1222-12-1-1222-1-2-2-1221111-1-1-1-1-1-1-12222-2-2-211112211-2-2-1-1-1-1-1-111112200-2-20000-1-1-1-1111100000-200-1-11100000000000
χ3022222222-12-1-1-1222-12-1-1222-1-2-2-1221111-1-1-1-1-1-1-1-2-2-2-2-2-2-211112211-2-2-1-1-1-1-1-11111-2-2002200001111-1-1-1-10000020011-1-100000000000
χ3122222222-12-1-1-1222-12-1-1222-1-2-2-1-2-21111-1-1-1-1-1-1-122222-2-21111-2-2-1-122111111-1-1-1-1-2-200-2-20000-1-1-1-111110000020011-1-100000000000
χ3222222222-12-1-1-1222-12-1-1222-1-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-22-2-21111-2-2-1-122111111-1-1-1-122002200001111-1-1-1-100000-200-1-11100000000000
χ33222-2-2-2-22222-2-222-2-2-2222-2-2-20022i−2i0000222-2-2-2-22i2i−2i−2i00000002i−2i00002i−2i2i2i−2i−2i00002-2000000002i2i−2i−2i0000000000002-20000000000000
χ34222-2-2-2-22222-2-222-2-2-2222-2-2-20022i−2i0000222-2-2-2-2−2i−2i2i2i00000002i−2i00002i−2i2i2i−2i−2i0000-2200000000−2i−2i2i2i000000000000-220000000000000
χ35222-2-2-2-22222-2-222-2-2-2222-2-2-2002−2i2i0000222-2-2-2-22i2i−2i−2i0000000−2i2i0000−2i2i−2i−2i2i2i0000-22000000002i2i−2i−2i000000000000-220000000000000
χ36222-2-2-2-22222-2-222-2-2-2222-2-2-2002−2i2i0000222-2-2-2-2−2i−2i2i2i0000000−2i2i0000−2i2i−2i−2i2i2i00002-200000000−2i−2i2i2i0000000000002-20000000000000
χ37222-2-2-2-22-12-11122-21-2-1-12-2-2100-12i−2i−i3−i3i3i3-1-1-111112i2i−2i−2i000−i3−i3i3i32i−2i3−300−ii−i−iii33−3−32-200000000−i−iii33−3−300000000-11−i3i300000000000
χ38222-2-2-2-22-12-11122-21-2-1-12-2-2100-12i−2i−i3−i3i3i3-1-1-11111−2i−2i2i2i000−i3−i3i3i32i−2i3−300−ii−i−iii33−3−3-2200000000ii−i−i−3−333000000001-1i3−i300000000000
χ39222-2-2-2-22-12-11122-21-2-1-12-2-2100-12i−2ii3i3−i3−i3-1-1-111112i2i−2i−2i000i3i3−i3−i32i−2i−3300−ii−i−iii−3−3332-200000000−i−iii−3−33300000000-11i3−i300000000000
χ40222-2-2-2-22-12-11122-21-2-1-12-2-2100-12i−2ii3i3−i3−i3-1-1-11111−2i−2i2i2i000i3i3−i3−i32i−2i−3300−ii−i−iii−3−333-2200000000ii−i−i33−3−3000000001-1−i3i300000000000
χ41222-2-2-2-22-12-11122-21-2-1-12-2-2100-1−2i2i−i3−i3i3i3-1-1-111112i2i−2i−2i000−i3−i3i3i3−2i2i−3300i−iii−i−i−3−333-2200000000−i−iii33−3−3000000001-1i3−i300000000000
χ42222-2-2-2-22-12-11122-21-2-1-12-2-2100-1−2i2i−i3−i3i3i3-1-1-11111−2i−2i2i2i000−i3−i3i3i3−2i2i−3300i−iii−i−i−3−3332-200000000ii−i−i−3−33300000000-11−i3i300000000000
χ43222-2-2-2-22-12-11122-21-2-1-12-2-2100-1−2i2ii3i3−i3−i3-1-1-111112i2i−2i−2i000i3i3−i3−i3−2i2i3−300i−iii−i−i33−3−3-2200000000−i−iii−3−333000000001-1−i3i300000000000
χ44222-2-2-2-22-12-11122-21-2-1-12-2-2100-1−2i2ii3i3−i3−i3-1-1-11111−2i−2i2i2i000i3i3−i3−i3−2i2i3−300i−iii−i−i33−3−32-200000000ii−i−i33−3−300000000-11i3−i300000000000
χ4522-222-2-2-2222-2-22-2-222-2-2-2-2222-22002-22-22-2-2-2-222000002-22-22-200000000000000000000000000000000002i2i−2i−2i00000000000000002i−2i0
χ4622-222-2-2-2222-2-22-2-222-2-2-2-2222-22002-22-22-2-2-2-222000002-22-22-20000000000000000000000000000000000−2i−2i2i2i0000000000000000−2i2i0
χ4722-222-2-2-2222-2-22-2-222-2-2-2-222-22200-22-222-2-2-2-22200000-22-22-2200000000000000000000000000000000002i2i−2i−2i0000000000000000−2i2i0
χ4822-222-2-2-2222-2-22-2-222-2-2-2-222-22200-22-222-2-2-2-22200000-22-22-220000000000000000000000000000000000−2i−2i2i2i00000000000000002i−2i0
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χ532-22-222-2-222-2-22-222-222-2-2-2-22002000000-22-2-22-222-2-2200000000000000000000000000000002i−2i2-2-2200002i−2i2i−2i000000002i−2i000000000
χ542-22-222-2-222-2-22-222-222-2-2-2-22002000000-22-2-22-222-2-220000000000000000000000000000000−2i2i2-2-220000−2i2i−2i2i00000000−2i2i000000000
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χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-244144-2-2-2-2111111100004-2-21111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000000
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χ934-44-444-4-44-2-4-442-2-2-4-24-4222400-20000002-222-22-200000000000000000000000000000000000−4i4i000000000000000000002i−2i000000000
χ944-44-444-4-4-2422-2-44424-22-4-4-4-200-20000002-222-22-24-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ954-44-444-4-4-2422-2-44424-22-4-4-4-200-20000002-222-22-2-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ964-4-44-44-4444-4-44-4-444-4-444-44-4004000000-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000
χ974-4-44-44-444-2-4-4422-242-44-22-2-400-200000022-22-2-22000000000000000000000000000000000000000000000000000−2i32i3000000000000000
χ984-4-44-44-444-2-4-4422-242-44-22-2-400-200000022-22-2-220000000000000000000000000000000000000000000000000002i3−2i3000000000000000
χ994-4-44-44-44-2422-2-4-44-2-42-24-44200-200000022-22-2-220000000000000000000000000000000000000000023−23−232300000000000000000000000
χ1004-4-44-44-44-2422-2-4-44-2-42-24-44200-200000022-22-2-2200000000000000000000000000000000000000000−232323−2300000000000000000000000
χ1014-4-4-44-4444-2-44-4222-4-2-44-2-22400-200000022-2-222-20000000000000000000000000000000004-4000000000000000000000000-220000000
χ1024-4-4-44-4444-2-44-4222-4-2-44-2-22400-200000022-2-222-2000000000000000000000000000000000-440000000000000000000000002-20000000
χ1034-4-4-44-444-242-22-4-4-4242-244-4-200-200000022-2-222-200000000000000000000000000000004-400000000-22-2200000000000000000000000
χ1044-4-4-44-444-242-22-4-4-4242-244-4-200-200000022-2-222-20000000000000000000000000000000-44000000002-22-200000000000000000000000
χ1058-888-8-88-8-4-44-444-44-44-444-4-44002000000-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-888-8-8-4-444-44-4-44-4-44444-4002000000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88-88-4-444-444-4-444-4-44-44002000000-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-44-444444-44-4-4-44-4002000000-2-222-2-2200000000000000000000000000000000000000000000000000000000000000000000

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