Finite Group Databasebeta

← Group #11819111

Character table — Group #11819111

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order12222222336666666666666634444666666612121212121212124444444441212121212121212121212121212121212121212224444441212121212121212121212121212121244661212121212124444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111-1-111111111111-1-1-1-111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1
χ6111111111111111111111111111-1-111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-1-1-1-111-1-1-1-1-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1
χ101111111111111111111111111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1-1-1-1-1-111-1-111-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111111-1-1-1-111-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ17222222222-1222-1-12-1-1-12-12-12-12222-1-1-1-1-1-1-12222-1-1-1-1222200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-1000002-1-100-1-1000000000
χ18222222222-1222-1-12-1-1-12-12-12-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011110000111100000-2110011000000000
χ19222222222-1222-1-12-1-1-12-12-12-122-2-2-1-1-1-1-1-1-12222111122220000-2-1-111-2-2-2-2-1-1-1-1111111112200-2-200-1-1-1-10000111100000-2-1-10011000000000
χ20222222222-1222-1-12-1-1-12-12-12-122-2-2-1-1-1-1-1-1-122221111-2-2-2-20000-2-1-111-2-2-2-2-1-1-1-111111111-2-200220011110000-1-1-1-10000021100-1-1000000000
χ21222222222-1222-1-12-1-1-12-12-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122220000-2111122-2-21111-1-1-1-11111-2-2002200-1-1-1-10000-1-1-1-100000-2110011000000000
χ22222222222-1222-1-12-1-1-12-12-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-20000-2111122-2-21111-1-1-1-111112200-2-200111100001111000002-1-100-1-1000000000
χ23222222222-1222-1-12-1-1-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2111122220000211-1-1-2-22211111111-1-1-1-1-2-200-2-200-1-1-1-1000011110000021100-1-1000000000
χ24222222222-1222-1-12-1-1-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-20000211-1-1-2-22211111111-1-1-1-12200220011110000-1-1-1-100000-2-1-10011000000000
χ2522222222-12-1-1-122-1222-12-12-1-12222-1-1-1-1-1-1-1-1-1-1-122220000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-12000-1-100-1-10000000
χ2622222222-12-1-1-122-1222-12-12-1-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000111100001111-20001100110000000
χ2722222222-12-1-1-122-1222-12-12-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002222-222-2-21111-1-1-1-11111111100-2-200220000-1-1-1-10000-1-1-1-1-20001100110000000
χ2822222222-12-1-1-122-1222-12-12-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-222-2-21111-1-1-1-111111111002200-2-200001111000011112000-1-100-1-10000000
χ2922222222-12-1-1-122-1222-12-12-1-1-2-222-1-1-1-1-1-1-11111222200002222-2-2-2-2-2-1-1111111-1-1-1-11111002200-2-2000011110000-1-1-1-1-2000-1-100110000000
χ3022222222-12-1-1-122-1222-12-12-1-1-2-222-1-1-1-1-1-1-1111122220000-2-2-2-2-2-2-2-2-2-1-1111111-1-1-1-1111100-2-200220000-1-1-1-10000111120001100-1-10000000
χ3122222222-12-1-1-122-1222-12-12-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2000022222-2-22211-1-111111111-1-1-1-100-2-200-2-2000011110000-1-1-1-120001100-1-10000000
χ3222222222-12-1-1-122-1222-12-12-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-22-2-22211-1-111111111-1-1-1-1002200220000-1-1-1-100001111-2000-1-100110000000
χ332222-2-2-2-22222-22-222-2-2-22-2-2-222-20022-2-22-2-222-2-2000022-2-2000002-200000022-2-2000000002-200000022-2-2000000000000002-20000000000000
χ342222-2-2-2-22222-22-222-2-2-22-2-2-222-20022-2-22-2-222-2-20000-2-222000002-200000022-2-200000000-22000000-2-22200000000000000-220000000000000
χ352222-2-2-2-22222-22-222-2-2-22-2-2-22-220022-2-22-2-2-2-222000022-2-200000-22000000-2-22200000000-2200000022-2-200000000000000-220000000000000
χ362222-2-2-2-22222-22-222-2-2-22-2-2-22-220022-2-22-2-2-2-2220000-2-22200000-22000000-2-222000000002-2000000-2-222000000000000002-20000000000000
χ372222-2-2-2-22-122-2-112-111-2-1-21-2-12-200-1-111-11122-2-233−3−322-2-200000-113−30000-1-11133−3−333−3−32-2000000-1-111000033−3−3000000-11003−3000000000
χ382222-2-2-2-22-122-2-112-111-2-1-21-2-12-200-1-111-11122-2-233−3−3-2-22200000-113−30000-1-11133−3−333−3−3-2200000011-1-10000−3−3330000001-100−33000000000
χ392222-2-2-2-22-122-2-112-111-2-1-21-2-12-200-1-111-11122-2-2−3−33322-2-200000-11−330000-1-111−3−333−3−3332-2000000-1-1110000−3−333000000-1100−33000000000
χ402222-2-2-2-22-122-2-112-111-2-1-21-2-12-200-1-111-11122-2-2−3−333-2-22200000-11−330000-1-111−3−333−3−333-2200000011-1-1000033−3−30000001-1003−3000000000
χ412222-2-2-2-22-122-2-112-111-2-1-21-2-1-2200-1-111-111-2-22233−3−322-2-2000001-1−33000011-1-133−3−3−3−333-22000000-1-111000033−3−30000001-100−33000000000
χ422222-2-2-2-22-122-2-112-111-2-1-21-2-1-2200-1-111-111-2-22233−3−3-2-222000001-1−33000011-1-133−3−3−3−3332-200000011-1-10000−3−333000000-11003−3000000000
χ432222-2-2-2-22-122-2-112-111-2-1-21-2-1-2200-1-111-111-2-222−3−33322-2-2000001-13−3000011-1-1−3−33333−3−3-22000000-1-1110000−3−3330000001-1003−3000000000
χ442222-2-2-2-22-122-2-112-111-2-1-21-2-1-2200-1-111-111-2-222−3−333-2-222000001-13−3000011-1-1−3−33333−3−32-200000011-1-1000033−3−3000000-1100−33000000000
χ4522-2-22-22-2222-2-22-2-2-222-2-22-22200002-2-2-2-222000000002i−2i2i−2i22-2-2000000000000000000000000000002i−2i2i−2i0000000022-2-200000000002i−2i00000
χ4622-2-22-22-2222-2-22-2-2-222-2-22-22200002-2-2-2-222000000002i−2i2i−2i-2-222000000000000000000000000000002i−2i2i−2i00000000-2-2220000000000−2i2i00000
χ4722-2-22-22-2222-2-22-2-2-222-2-22-22200002-2-2-2-22200000000−2i2i−2i2i22-2-200000000000000000000000000000−2i2i−2i2i0000000022-2-20000000000−2i2i00000
χ4822-2-22-22-2222-2-22-2-2-222-2-22-22200002-2-2-2-22200000000−2i2i−2i2i-2-22200000000000000000000000000000−2i2i−2i2i00000000-2-22200000000002i−2i00000
χ4922-2-2-22-22222-2222-2-2-2-22-2-22-2200002-222-2-2-2000000002i−2i−2i2i00000000000000000000000000000002-22i−2i−2i2i22-2-2000000000000000000002i−2i000
χ5022-2-2-22-22222-2222-2-2-2-22-2-22-2200002-222-2-2-2000000002i−2i−2i2i0000000000000000000000000000000-222i−2i−2i2i-2-22200000000000000000000−2i2i000
χ5122-2-2-22-22222-2222-2-2-2-22-2-22-2200002-222-2-2-200000000−2i2i2i−2i00000000000000000000000000000002-2−2i2i2i−2i22-2-200000000000000000000−2i2i000
χ5222-2-2-22-22222-2222-2-2-2-22-2-22-2200002-222-2-2-200000000−2i2i2i−2i0000000000000000000000000000000-22−2i2i2i−2i-2-222000000000000000000002i−2i000
χ532-22-2-2-22222-2-2-2-2-2222-22-2-22220000-2-22-222-20000000000002-22-200000000000000000000000002-200000000002-22-22-22-2000000000000002-20
χ542-22-2-2-22222-2-2-2-2-2222-22-2-22220000-2-22-222-20000000000002-22-20000000000000000000000000-220000000000-22-222-22-200000000000000-220
χ552-22-2-2-22222-2-2-2-2-2222-22-2-22220000-2-22-222-2000000000000-22-2200000000000000000000000002-200000000002-22-2-22-2200000000000000-220
χ562-22-2-2-22222-2-2-2-2-2222-22-2-22220000-2-22-222-2000000000000-22-220000000000000000000000000-220000000000-22-22-22-22000000000000002-20
χ572-2-22-222-222-222-22-2-22-2-22-2-222002i−2i-22-22-22-200002i−2i2i−2i00002-2-22000002i−2i0000002i−2i2i−2i0000002i−2i00000000000000002-2-2200002i−2i00000000000
χ582-2-22-222-222-222-22-2-22-2-22-2-222002i−2i-22-22-22-200002i−2i2i−2i0000-222-2000002i−2i0000002i−2i2i−2i000000−2i2i0000000000000000-222-20000−2i2i00000000000
χ592-2-22-222-222-222-22-2-22-2-22-2-22200−2i2i-22-22-22-20000−2i2i−2i2i00002-2-2200000−2i2i000000−2i2i−2i2i000000−2i2i00000000000000002-2-220000−2i2i00000000000
χ602-2-22-222-222-222-22-2-22-2-22-2-22200−2i2i-22-22-22-20000−2i2i−2i2i0000-222-200000−2i2i000000−2i2i−2i2i0000002i−2i0000000000000000-222-200002i−2i00000000000
χ612-2-22-222-2-121-1-1-221-22-2121-2-1-1002i−2i1-11-11-113−33−32i−2i2i−2i00002-2-2200000−ii−i3i33−33−3−ii−ii−i3i3−i3i3002i−2i000000003−33−30000-111-10000−ii00−i3i30000000
χ622-2-22-222-2-121-1-1-221-22-2121-2-1-1002i−2i1-11-11-113−33−32i−2i2i−2i0000-222-200000−ii−i3i33−33−3−ii−ii−i3i3−i3i300−2i2i00000000−33−3300001-1-110000i−i00i3−i30000000
χ632-2-22-222-2-121-1-1-221-22-2121-2-1-1002i−2i1-11-11-11−33−332i−2i2i−2i00002-2-2200000−iii3−i3−33−33−ii−iii3−i3i3−i3002i−2i00000000−33−330000-111-10000−ii00i3−i30000000
χ642-2-22-222-2-121-1-1-221-22-2121-2-1-1002i−2i1-11-11-11−33−332i−2i2i−2i0000-222-200000−iii3−i3−33−33−ii−iii3−i3i3−i300−2i2i000000003−33−300001-1-110000i−i00−i3i30000000
χ652-2-22-222-2-121-1-1-221-22-2121-2-1-100−2i2i1-11-11-113−33−3−2i2i−2i2i00002-2-2200000i−ii3−i33−33−3i−ii−ii3−i3i3−i300−2i2i000000003−33−30000-111-10000i−i00i3−i30000000
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χ784444-4-4-4-4-2-2-2-22-22-2-2222-22221-440011-1-11-1-122-2-2−23−2323230000000002-223−230000-1-11133−3−3−3−33300000000000000000000000000000000000000000
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χ874-44-444-4-444-4-44-4444-44-4-44-4-440000-4-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ884-44-444-4-44-2-4-442-24-22-2-4242-4-20000222-2-22-20000000000000000000000000000000000000000000000000000023−23−2323000000000000000000000
χ894-44-444-4-44-2-4-442-24-22-2-4242-4-20000222-2-22-200000000000000000000000000000000000000000000000000000−232323−23000000000000000000000
χ904-44-444-4-4-2422-2-44-24-442-4-2-42-20000222-2-22-2000000000000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ914-44-444-4-4-2422-2-44-24-442-4-2-42-20000222-2-22-20000000000000000000000000000000000000000000000000−232323−230000000000000000000000000
χ924-44-4-4-4444-2-4-4-4224-2-2242-4-24-2000022-22-2-22000000000000000000000000000000000000000004-40000000000-22-22000000000000000000000
χ934-44-4-4-4444-2-4-4-4224-2-2242-4-24-2000022-22-2-2200000000000000000000000000000000000000000-4400000000002-22-2000000000000000000000
χ944-44-4-4-444-24222-4-4-244-4-2-424-2-2000022-22-2-220000000000004-44-400000000000000000000000000000000000000000-22-2200000000000000000
χ954-44-4-4-444-24222-4-4-244-4-2-424-2-2000022-22-2-22000000000000-44-44000000000000000000000000000000000000000002-22-200000000000000000
χ964-4-444-4-4444-44-4-4-4-4-4-444444-440000-444-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-4-444-2-44-422-422-24-24-2-4-200002-2-2222-20000−2i32i32i3−2i3000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000
χ984-4-444-4-444-2-44-422-422-24-24-2-4-200002-2-2222-200002i3−2i3−2i32i30000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000
χ994-4-444-4-44-242-22-4-42-4-44-24-242-200002-2-2222-223−23−232300000000000000000000023−23−23230000000000000000000000000000000000000000000000000
χ1004-4-444-4-44-242-22-4-42-4-44-24-242-200002-2-2222-2−232323−23000000000000000000000−232323−230000000000000000000000000000000000000000000000000
χ1014-4-444-4-44-2-22-2222222-2-2-2-2-2210000-111-1-1-1123−23−2323−2i32i32i3−2i300000000000000000−333−3i3−i3−i3i33i−3i−3i3i00000000000000000000000000000000000000000
χ1024-4-444-4-44-2-22-2222222-2-2-2-2-2210000-111-1-1-1123−23−23232i3−2i3−2i32i300000000000000000−333−3−i3i3i3−i3−3i3i3i−3i00000000000000000000000000000000000000000
χ1034-4-444-4-44-2-22-2222222-2-2-2-2-2210000-111-1-1-11−232323−23−2i32i32i3−2i3000000000000000003−3−33i3−i3−i3i3−3i3i3i−3i00000000000000000000000000000000000000000
χ1044-4-444-4-44-2-22-2222222-2-2-2-2-2210000-111-1-1-11−232323−232i3−2i3−2i32i3000000000000000003−3−33−i3i3i3−i33i−3i−3i3i00000000000000000000000000000000000000000
χ1054-4-44-444-44-2-4442-2-42-22-4-2-424-2004i−4i2-22-22-220000−2i2i−2i2i00000000000004i−4i000000−2i2i−2i2i000000000000000000000000000000000000000000000
χ1064-4-44-444-44-2-4442-2-42-22-4-2-424-200−4i4i2-22-22-2200002i−2i2i−2i0000000000000−4i4i0000002i−2i2i−2i000000000000000000000000000000000000000000000
χ1074-4-44-444-4-2-22-2-22-222-222-222-21004i−4i-11-11-11-123−2323−23−2i2i−2i2i0000000000000−2i2i−2i32i3−33−33i−ii−ii3−i3i3−i300000000000000000000000000000000000000000
χ1084-4-44-444-4-2-22-2-22-222-222-222-21004i−4i-11-11-11-1−2323−2323−2i2i−2i2i0000000000000−2i2i2i3−2i33−33−3i−ii−i−i3i3−i3i300000000000000000000000000000000000000000
χ1094-4-44-444-4-2-22-2-22-222-222-222-2100−4i4i-11-11-11-123−2323−232i−2i2i−2i00000000000002i−2i2i3−2i3−33−33−ii−ii−i3i3−i3i300000000000000000000000000000000000000000
χ1104-4-44-444-4-2-22-2-22-222-222-222-2100−4i4i-11-11-11-1−2323−23232i−2i2i−2i00000000000002i−2i−2i32i33−33−3−ii−iii3−i3i3−i300000000000000000000000000000000000000000
χ11188-8-88-88-8-4-4-444-4444-4-444-44-4200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-4-44-4-4-44444-444-44200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-888-8-8-4-444-44-4-4-44-444-44420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-8-888-4-444444-4-4-44-444-4-420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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