Finite Group Databasebeta

← Group #11812898

Character table — Group #11812898

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order12222222334444666666666666661212121212121212223446666666666666666666666612121212121212121212121212121212121212121212121212121212222244444444446666121212121212121212121212441212121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ6111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ8111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-11111-1-1
χ91111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-11
χ101111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-1
χ111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1111-1
χ121111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-1111111-1-1-11
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-11-1
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-111-1-111-11
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-1-1-111-11
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-111-1-11111-1-11-1
χ17222222222-12222222-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222002200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-12222222-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200-2-20011111111111111110000000000000000
χ19222222222-12222222-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-1-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-12222-2-2-2-21111-1-1-1-1-1-1-1-1111111112222-2-2-2-2002200-1-1-1-111111111-1-1-1-10000000000000000
χ20222222222-12222222-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-1-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-12222-2-2-2-21111-1-1-1-1-1-1-1-111111111-2-2-2-2222200-2-2001111-1-1-1-1-1-1-1-111110000000000000000
χ21222222222-1-2-2-2-2222-1-1-1-1222-1-12-11111111122-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111112222-2-22200-2-200-1-1-1-1-1-1-1-1111111110000000000000000
χ22222222222-1-2-2-2-2222-1-1-1-1222-1-12-11111111122-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111-2-2-2-222-2-200220011111111-1-1-1-1-1-1-1-10000000000000000
χ23222222222-1-2-2-2-2222-1-1-1-1222-1-12-111111111-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-1-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1222222-2-200-2-200-1-1-1-11111-1-1-1-111110000000000000000
χ24222222222-1-2-2-2-2222-1-1-1-1222-1-12-111111111-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-1-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2220022001111-1-1-1-11111-1-1-1-10000000000000000
χ2522222222-122222-1-1-12222-1-1-122-122222222222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000220022000000000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-122222-1-1-12222-1-1-122-122222222222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-200-2-20000000000000000-2-211111111000000
χ2722222222-122222-1-1-12222-1-1-122-1222222222-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-11111-2-2-2-2-1-1-1-1-1-1-1-111111111000000002200220000000000000000-2-2-1-11111-1-1000000
χ2822222222-122222-1-1-12222-1-1-122-1222222222-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-11111-2-2-2-2-1-1-1-1-1-1-1-11111111100000000-2-200-2-200000000000000002211-1-1-1-111000000
χ2922222222-12-2-2-2-2-1-1-12222-1-1-122-12-2-2-2-2-2-2-2-222-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111000000002200-2-200000000000000002-2-1-1-1-11111000000
χ3022222222-12-2-2-2-2-1-1-12222-1-1-122-12-2-2-2-2-2-2-2-222-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2111111111111111100000000-2-200220000000000000000-221111-1-1-1-1000000
χ3122222222-12-2-2-2-2-1-1-12222-1-1-122-12-2-2-2-2-2-2-2-2-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-11111-1-1-1-1222211111111-1-1-1-1-1-1-1-1000000002200-2-20000000000000000-22-1-111-1-111000000
χ3222222222-12-2-2-2-2-1-1-12222-1-1-122-12-2-2-2-2-2-2-2-2-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-11111-1-1-1-1222211111111-1-1-1-1-1-1-1-100000000-2-2002200000000000000002-211-1-111-1-1000000
χ3322-2-22-22-2222i2i−2i−2i2-2-222-2-222-22-2-2-22i2i2i2i−2i−2i−2i−2i0020000000000222-2-2-200000000-22i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i0000000022-2-20000002i−2i0022-2-2000000002i2i−2i−2i0000000000000000
χ3422-2-22-22-2222i2i−2i−2i2-2-222-2-222-22-2-2-22i2i2i2i−2i−2i−2i−2i0020000000000222-2-2-200000000-22i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i00000000-2-222000000−2i2i00-2-22200000000−2i−2i2i2i0000000000000000
χ3522-2-22-22-222−2i−2i2i2i2-2-222-2-222-22-2-2-2−2i−2i−2i−2i2i2i2i2i0020000000000222-2-2-200000000-2−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i0000000022-2-2000000−2i2i0022-2-200000000−2i−2i2i2i0000000000000000
χ3622-2-22-22-222−2i−2i2i2i2-2-222-2-222-22-2-2-2−2i−2i−2i−2i2i2i2i2i0020000000000222-2-2-200000000-2−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i00000000-2-2220000002i−2i00-2-222000000002i2i−2i−2i0000000000000000
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χ3822-2-22-22-22-12i2i−2i−2i2-2-2-1-11122-2-11-21−i−i−i−iiiii00-1000000−i3−i3i3i3-1-1-1111−i3−i3−i3−i3i3i3i3i312i2i−2i−2i000033−3−3−i−i−i−iiiii3333−3−3−3−3-2-222000000−2i2i0011-1-1i3i3−i3−i3−3−333ii−i−i0000000000000000
χ3922-2-22-22-22-12i2i−2i−2i2-2-2-1-11122-2-11-21−i−i−i−iiiii00-1000000i3i3−i3−i3-1-1-1111i3i3i3i3−i3−i3−i3−i312i2i−2i−2i0000−3−333−i−i−i−iiiii−3−3−3−3333322-2-20000002i−2i00-1-111i3i3−i3−i3−3−333−i−iii0000000000000000
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χ4422-2-22-22-22-1−2i−2i2i2i2-2-2-1-11122-2-11-21iiii−i−i−i−i00-1000000i3i3−i3−i3-1-1-1111i3i3i3i3−i3−i3−i3−i31−2i−2i2i2i000033−3−3iiii−i−i−i−i3333−3−3−3−3-2-2220000002i−2i0011-1-1−i3−i3i3i3−3−333−i−iii0000000000000000
χ452-222-2-22-2222i−2i2i−2i-22-22-22-22-22-22-2-22i2i−2i−2i2i2i−2i−2i00200000000002-2-222-200000000-22i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000000000002-2002i−2i0000000000000000002-200002i−2i000000
χ462-222-2-22-2222i−2i2i−2i-22-22-22-22-22-22-2-22i2i−2i−2i2i2i−2i−2i00200000000002-2-222-200000000-22i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000-2200−2i2i000000000000000000-220000−2i2i000000
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χ502-222-2-22-2-122i−2i2i−2i1-112-22-2-11-1-221-22i2i−2i−2i2i2i−2i−2i00-100−i3−i3i3i30000-111-1-11−i3−i3i3i3−i3−i3i3i31−ii−ii33−3−30000−i−iii−i−iii33−3−333−3−300000000-2200−2i2i0000000000000000001-1i3−i3−33i−i000000
χ512-222-2-22-2-122i−2i2i−2i1-112-22-2-11-1-221-22i2i−2i−2i2i2i−2i−2i00-100i3i3−i3−i30000-111-1-11i3i3−i3−i3i3i3−i3−i31−ii−ii−3−3330000−i−iii−i−iii−3−333−3−333000000002-2002i−2i000000000000000000-11i3−i3−33−ii000000
χ522-222-2-22-2-122i−2i2i−2i1-112-22-2-11-1-221-22i2i−2i−2i2i2i−2i−2i00-100i3i3−i3−i30000-111-1-11i3i3−i3−i3i3i3−i3−i31−ii−ii−3−3330000−i−iii−i−iii−3−333−3−33300000000-2200−2i2i0000000000000000001-1−i3i33−3i−i000000
χ532-222-2-22-2-12−2i2i−2i2i1-112-22-2-11-1-221-2−2i−2i2i2i−2i−2i2i2i00-100−i3−i3i3i30000-111-1-11−i3−i3i3i3−i3−i3i3i31i−ii−i−3−3330000ii−i−iii−i−i−3−333−3−333000000002-200−2i2i000000000000000000-11−i3i3−33i−i000000
χ542-222-2-22-2-12−2i2i−2i2i1-112-22-2-11-1-221-2−2i−2i2i2i−2i−2i2i2i00-100−i3−i3i3i30000-111-1-11−i3−i3i3i3−i3−i3i3i31i−ii−i−3−3330000ii−i−iii−i−i−3−333−3−33300000000-22002i−2i0000000000000000001-1i3−i33−3−ii000000
χ552-222-2-22-2-12−2i2i−2i2i1-112-22-2-11-1-221-2−2i−2i2i2i−2i−2i2i2i00-100i3i3−i3−i30000-111-1-11i3i3−i3−i3i3i3−i3−i31i−ii−i33−3−30000ii−i−iii−i−i33−3−333−3−3000000002-200−2i2i000000000000000000-11i3−i33−3i−i000000
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χ1254-4-444-4-44-2400002-22-4-4-4-42-2244-24000000004-4-200-22-224-4-442-222-22-22-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-444-4-44-2400002-22-4-4-4-42-2244-2400000000-44-2002-22-2-444-42-222-222-22-2-22-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-4-444-4-44-2-200002-2222222-22-2-2-2-2−2i32i3−2i32i32i3−2i32i3−2i34-4100-22-22-222-2-11-1-11-11-11-1-11-11100000000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000000000
χ1284-4-444-4-44-2-200002-2222222-22-2-2-2-2−2i32i3−2i32i32i3−2i32i3−2i3-441002-22-22-2-22-11-1-11-1-11-111-11-11000000002i3−2i3−2i32i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000000000000000
χ1294-4-444-4-44-2-200002-2222222-22-2-2-2-22i3−2i32i3−2i3−2i32i3−2i32i34-4100-22-22-222-2-11-1-11-11-11-1-11-111000000002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000000000000000
χ1304-4-444-4-44-2-200002-2222222-22-2-2-2-22i3−2i32i3−2i3−2i32i3−2i32i3-441002-22-22-2-22-11-1-11-1-11-111-11-1100000000−2i32i32i3−2i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000000000
χ1314-4-4-4-44444-24-4-44-4-44-222-24-4-4224-2-2-22222-2-200-20000000000-22222-200000000-24-4-4400000000-2-22222-2-2000000000000000000000000000000000000000000000000000000
χ1324-4-4-4-44444-2-444-4-4-44-222-24-4-4224-222-2-2-2-22200-20000000000-22222-200000000-2-444-40000000022-2-2-2-222000000000000000000000000000000000000000000000000000000
χ1334-4-4-4-4444-244-4-4422-24-4-44-222-4-4-2444-4-4-4-44400-20000000000-22222-200000000-2-222-200000000-2-22222-2-2000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-24-444-422-24-4-44-222-4-4-24-4-44444-4-400-20000000000-22222-200000000-22-2-220000000022-2-2-2-222000000000000000000000000000000000000000000000000000000
χ1354-4-4-4-4444-2-24-4-4422-2-222-2-22222-2-2-2-22222-2-200100000000001-1-1-1-1133-3-3-3-3331-222-20000000011-1-1-1-11133-3-3-3-3330000000000000000000000000000000000000000000000
χ1364-4-4-4-4444-2-24-4-4422-2-222-2-22222-2-2-2-22222-2-200100000000001-1-1-1-11-3-33333-3-31-222-20000000011-1-1-1-111-3-33333-3-30000000000000000000000000000000000000000000000
χ1374-4-4-4-4444-2-2-444-422-2-222-2-22222-2-222-2-2-2-22200100000000001-1-1-1-1133-3-3-3-33312-2-2200000000-1-11111-1-1-3-33333-3-30000000000000000000000000000000000000000000000
χ1384-4-4-4-4444-2-2-444-422-2-222-2-22222-2-222-2-2-2-22200100000000001-1-1-1-11-3-33333-3-312-2-2200000000-1-11111-1-133-3-3-3-3330000000000000000000000000000000000000000000000

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