Finite Group Databasebeta

← Group #11896066

Character table — Group #11896066

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order12223344446666661212121234446661212121212121212121212121212121226666666612121212121212121212124444448888121212122424242424242424444121212121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1
χ6111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111
χ7111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111
χ8111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1111111-1-1
χ9111111-1-111111111-1-1-1-1111-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-111111-1111-111-1-111-1-11111-1-1-1-11-1-111-1-11-111-1-11-11-1
χ10111111-1-111111111-1-1-1-1111-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-111111-1-1-11-1-1-11111-1-1-1-1-1-111111-11-1-1111-111-1-1-11-11
χ11111111-1-111111111-1-1-1-1111-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-11111-1111-1111-1-1-1-1111111-1-1-1-1-11-111-1-1-11-1-111-11-11
χ12111111-1-111111111-1-1-1-1111-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-11111-11-1-1-11-1-111-1-111-1-1-1-11111-111-1-111-11-1-1111-11-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-111-1-1-1-1-1-11-1111-1-1-11111-1-1-1-1-1-11111-11-111-1-11-1-1-1111-1-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-111-1-1-1-1-1-11-1-1-11-111-1-111-1-11111-1-1-1-1-111-1-1111-1-1-111-111-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1111-11-1-111-1-111-1-1-1-111111-1-111-1-1-1111-1-1-111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1111111-1-1-1-11-11-1-111-1111-1-11-1-11
χ1722222222-2-22222222222200-2222-2-2220000-2-22222-2-200000000000-2-2-2-2-200002200-2-20000-2-2-2-20000000000000002200000000
χ1822222222-2-22222222222200-2222-2-2220000-2-22222-2-200000000000-2-2-2-2-20000-2-2002200002222000000000000000-2-200000000
χ19222222-2-2-2-2222222-2-2-2-2200222222-2-20000-2-2-2-2-2-2-2-2000000000002-2-22200002-200-220000-2-2220000000000000002-200000000
χ20222222-2-2-2-2222222-2-2-2-2200222222-2-20000-2-2-2-2-2-2-2-2000000000002-2-2220000-22002-2000022-2-2000000000000000-2200000000
χ2122222-12222222-1-1-12222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12200220000-1-1-1-1000000002200000-1-1-1-1-1-10000
χ2222222-12222222-1-1-12222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-200-2-20000111100000000-2-2000001111110000
χ2322222-12222222-1-1-12222-1-2-22-1-1-122-1-11111-1-1-1-1-1-122-2-2-2111111-2-2-1-1-1-1-111112200220000-1-1-1-100000000-2-200000-1-111110000
χ2422222-12222222-1-1-12222-1-2-22-1-1-122-1-11111-1-1-1-1-1-122-2-2-2111111-2-2-1-1-1-1-11111-2-200-2-20000111100000000220000011-1-1-1-10000
χ2522222-122-2-2222-1-1-12222-100-2-1-1-1-2-2-1-1−i3−i3i3i311-1-1-1-1-2-2000−i3i3−i3−i3i3i30011111−i3−i3i3i32200-2-200001111000000000000000-1-1−i3i3−i3i30000
χ2622222-122-2-2222-1-1-12222-100-2-1-1-1-2-2-1-1−i3−i3i3i311-1-1-1-1-2-2000−i3i3−i3−i3i3i30011111−i3−i3i3i3-2-200220000-1-1-1-100000000000000011i3−i3i3−i30000
χ2722222-122-2-2222-1-1-12222-100-2-1-1-1-2-2-1-1i3i3−i3−i311-1-1-1-1-2-2000i3−i3i3i3−i3−i30011111i3i3−i3−i32200-2-200001111000000000000000-1-1i3−i3i3−i30000
χ2822222-122-2-2222-1-1-12222-100-2-1-1-1-2-2-1-1i3i3−i3−i311-1-1-1-1-2-2000i3−i3i3i3−i3−i30011111i3i3−i3−i3-2-200220000-1-1-1-100000000000000011−i3i3−i3i30000
χ2922222-1-2-222222-1-1-1-2-2-2-2-122-2-1-1-1-2-211-1-1-1-1-1-1111122-2-2-2111111221-1-111-1-1-1-12-2002-20000-1-111000000002-200000-11-1-1110000
χ3022222-1-2-222222-1-1-1-2-2-2-2-122-2-1-1-1-2-211-1-1-1-1-1-1111122-2-2-2111111221-1-111-1-1-1-1-2200-22000011-1-100000000-22000001-111-1-10000
χ3122222-1-2-222222-1-1-1-2-2-2-2-1-2-2-2-1-1-1-2-2111111-1-1111122222-1-1-1-1-1-1-2-21-1-11111112-2002-20000-1-11100000000-2200000-1111-1-10000
χ3222222-1-2-222222-1-1-1-2-2-2-2-1-2-2-2-1-1-1-2-2111111-1-1111122222-1-1-1-1-1-1-2-21-1-1111111-2200-22000011-1-1000000002-2000001-1-1-1110000
χ3322222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-12211−i3−i3i3i3111111-2-2000i3−i3i3i3−i3−i300-111-1-1−i3−i3i3i32-200-22000011-1-1000000000000000-11−i3i3i3−i30000
χ3422222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-12211−i3−i3i3i3111111-2-2000i3−i3i3i3−i3−i300-111-1-1−i3−i3i3i3-22002-20000-1-1110000000000000001-1i3−i3−i3i30000
χ3522222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-12211i3i3−i3−i3111111-2-2000−i3i3−i3−i3i3i300-111-1-1i3i3−i3−i32-200-22000011-1-1000000000000000-11i3−i3−i3i30000
χ3622222-1-2-2-2-2222-1-1-1-2-2-2-2-1002-1-1-12211i3i3−i3−i3111111-2-2000−i3i3−i3−i3i3i300-111-1-1i3i3−i3−i3-22002-20000-1-1110000000000000001-1−i3i3i3−i30000
χ372222-122222-1-1-1222-1-1-1-1-1222-1-1-1-1-122222222-1-1-1-1-1-12-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-100220022220000-1-1-1-1-1-1-1-1002-1-1-1-10000000000
χ382222-122222-1-1-1222-1-1-1-1-1222-1-1-1-1-122222222-1-1-1-1-1-12-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-100-2-200-2-2-2-200001111111100-211110000000000
χ392222-122222-1-1-1222-1-1-1-1-1-2-22-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-211-2-21111112-1-1-1-11111002200-2-2-2-2000011111111002-1-1-1-10000000000
χ402222-122222-1-1-1222-1-1-1-1-1-2-22-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-211-2-21111112-1-1-1-1111100-2-20022220000-1-1-1-1-1-1-1-100-211110000000000
χ412222-12-2-222-1-1-12221111-122-2-1-1-111-2-22222221111-1-1-211-2-21111-1-1-2-1-111-1-1-1-100220022-2-20000-1-1-1-1111100-2-1-1110000000000
χ422222-12-2-222-1-1-12221111-122-2-1-1-111-2-22222221111-1-1-211-2-21111-1-1-2-1-111-1-1-1-100-2-200-2-22200001111-1-1-1-100211-1-10000000000
χ432222-12-2-222-1-1-12221111-1-2-2-2-1-1-111-2-2-2-2-2-2221111-1-12-1-122-1-1-1-111-2-1-1111111002200-2-22200001111-1-1-1-100-2-1-1110000000000
χ442222-12-2-222-1-1-12221111-1-2-2-2-1-1-111-2-2-2-2-2-2221111-1-12-1-122-1-1-1-111-2-1-111111100-2-20022-2-20000-1-1-1-1111100211-1-10000000000
χ452-22-22200-22-22-2-2-22000022i−2i02-2-200002i−2i2i−2i2-200002-20000000002i−2i02-2002i−2i2i−2i002-2002i−2i0000002i2i−2i−2i00000002-2000000000000
χ462-22-22200-22-22-2-2-22000022i−2i02-2-200002i−2i2i−2i2-200002-20000000002i−2i02-2002i−2i2i−2i00-2200−2i2i000000−2i−2i2i2i0000000-22000000000000
χ472-22-22200-22-22-2-2-2200002−2i2i02-2-20000−2i2i−2i2i2-200002-2000000000−2i2i02-200−2i2i−2i2i002-200−2i2i000000−2i−2i2i2i00000002-2000000000000
χ482-22-22200-22-22-2-2-2200002−2i2i02-2-20000−2i2i−2i2i2-200002-2000000000−2i2i02-200−2i2i−2i2i00-22002i−2i0000002i2i−2i−2i0000000-22000000000000
χ492-22-2-1200-221-11-2-2233−3−3-12i−2i0-1113−3002i−2i2i−2i2-233−3−3-110−i3i300−i3i3−i3i3−ii0-113−3−ii−ii002-2002i−2i000000−i−iii−i3−i3i3i3000-113−30000000000
χ502-22-2-1200-221-11-2-2233−3−3-12i−2i0-1113−3002i−2i2i−2i2-233−3−3-110−i3i300−i3i3−i3i3−ii0-113−3−ii−ii00-2200−2i2i000000ii−i−ii3i3−i3−i30001-1−330000000000
χ512-22-2-1200-221-11-2-2233−3−3-1−2i2i0-1113−300−2i2i−2i2i2-233−3−3-110i3−i300i3−i3i3−i3i−i0-113−3i−ii−i002-200−2i2i000000ii−i−ii3i3−i3−i3000-113−30000000000
χ522-22-2-1200-221-11-2-2233−3−3-1−2i2i0-1113−300−2i2i−2i2i2-233−3−3-110i3−i300i3−i3i3−i3i−i0-113−3i−ii−i00-22002i−2i000000−i−iii−i3−i3i3i30001-1−330000000000
χ532-22-2-1200-221-11-2-22−3−333-12i−2i0-111−33002i−2i2i−2i2-2−3−333-110i3−i300i3−i3i3−i3−ii0-11−33−ii−ii002-2002i−2i000000−i−iiii3i3−i3−i3000-11−330000000000
χ542-22-2-1200-221-11-2-22−3−333-12i−2i0-111−33002i−2i2i−2i2-2−3−333-110i3−i300i3−i3i3−i3−ii0-11−33−ii−ii00-2200−2i2i000000ii−i−i−i3−i3i3i30001-13−30000000000
χ552-22-2-1200-221-11-2-22−3−333-1−2i2i0-111−3300−2i2i−2i2i2-2−3−333-110−i3i300−i3i3−i3i3i−i0-11−33i−ii−i002-200−2i2i000000ii−i−i−i3−i3i3i3000-11−330000000000
χ562-22-2-1200-221-11-2-22−3−333-1−2i2i0-111−3300−2i2i−2i2i2-2−3−333-110−i3i300−i3i3−i3i3i−i0-11−33i−ii−i00-22002i−2i000000−i−iiii3i3−i3−i30001-13−30000000000
χ574444-2444-4-4-2-2-2444-2-2-2-2-200-4-2-2-222440000-4-4-2-2-2-22200000000000-422220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-2-24442222-2004-2-2-2-2-2-4-40000-4-422222200000000000422-2-20000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-21111-2-24-2-2-2-21111-2-2-211111111000000000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-22222-2-21111-2-2-42222-1-1-1-122-21111-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-411122-2-2−2i3−2i32i32i322111122000−2i32i3i3i3−i3−i3002-1-1-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-411122-2-22i32i3−2i3−2i3221111220002i3−2i3−i3−i3i3i3002-1-1-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222144-41112222-2-2-2-2-2-2-1-1-1-1-2-2-42222-1-1-1-1-2-2211-1-11111000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-222221-4-4-411122222222-2-2-1-1-1-1-2-24-2-2-2-2111122211-1-1-1-1-1-1000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-222221004111-2-222−2i3−2i32i32i322-1-1-1-1220002i3−2i3−i3−i3i3i300-2-1-111i3i3−i3−i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-222221004111-2-2222i32i3−2i3−2i322-1-1-1-122000−2i32i3i3i3−i3−i300-2-1-111−i3−i3i3i3000000000000000000000000000000000000000
χ6744-4-4444-4004-4-4-44-44-44-44000-4-44004-40000004-44-40000000000000000000000000000000000000000000000000000000000000
χ6844-4-444-44004-4-4-44-4-44-444000-4-4400-44000000-44-440000000000000000000000000000000000000000000000000000000000000
χ6944-4-44-24-4004-4-42-224-44-4-200022-200-22000000-22-220000000000000000000000000000000023−2323−230000000000000000000000000
χ7044-4-44-24-4004-4-42-224-44-4-200022-200-22000000-22-2200000000000000000000000000000000−2323−23230000000000000000000000000
χ7144-4-44-2-44004-4-42-22-44-44-200022-2002-20000002-22-20000000000000000000000000000000023−23−23230000000000000000000000000
χ7244-4-44-2-44004-4-42-22-44-44-200022-2002-20000002-22-200000000000000000000000000000000−232323−230000000000000000000000000
χ7344-4-4-244-400-222-44-4-22-22-200022-2004-4000000-22-220000000000000000000000000000000000006−66−66−66−600000000000000000
χ7444-4-4-244-400-222-44-4-22-22-200022-2004-4000000-22-22000000000000000000000000000000000000−66−66−66−6600000000000000000
χ7544-4-4-24-4400-222-44-42-22-2-200022-200-440000002-22-20000000000000000000000000000000000006−66−6−66−6600000000000000000
χ7644-4-4-24-4400-222-44-42-22-2-200022-200-440000002-22-2000000000000000000000000000000000000−66−666−66−600000000000000000
χ774-44-444004-4-44-4-4-44000040004-4-400000000-440000-44000000000000-44000000000000000000000000000000000000000000000
χ784-44-44-2004-4-44-422-20000-2000-222000023−23−23232-20000-440000000000002-20023−23−2323000000000000000000000000000000000000000
χ794-44-44-2004-4-44-422-20000-2000-2220000−232323−232-20000-440000000000002-200−232323−23000000000000000000000000000000000000000
χ804-44-44-200-44-44-422-20000-24i−4i0-2220000−2i2i−2i2i-2200004-40000000004i−4i0-2200−2i2i−2i2i000000000000000000000000000000000000000
χ814-44-44-200-44-44-422-20000-2−4i4i0-22200002i−2i2i−2i-2200004-4000000000−4i4i0-22002i−2i2i−2i000000000000000000000000000000000000000
χ824-44-4-24004-42-22-4-442323−23−23-2000-222−2323000000-442323−23−232-20000000000002-2−23230000000000000000000000000000000000000000000
χ834-44-4-24004-42-22-4-44−23−232323-2000-22223−23000000-44−23−2323232-20000000000002-223−230000000000000000000000000000000000000000000
χ844-44-4-2-2004-42-2222-22323−23−2310001-1-1−23230023−23−23232-2−3−3332-200000-333-3000-113−3−333−3000000000000000000000000000000000000000
χ854-44-4-2-2004-42-2222-22323−23−2310001-1-1−232300−232323−232-2−3−3332-2000003-3-33000-113−33−3−33000000000000000000000000000000000000000
χ864-44-4-2-2004-42-2222-2−23−23232310001-1-123−230023−23−23232-233−3−32-2000003-3-33000-11−33−333−3000000000000000000000000000000000000000
χ874-44-4-2-2004-42-2222-2−23−23232310001-1-123−2300−232323−232-233−3−32-200000-333-3000-11−333−3−33000000000000000000000000000000000000000
χ884-44-4-2-200-442-2222-22323−23−2314i−4i01-1-123−2300−2i2i−2i2i-22−3−333-220−2i32i300i3−i3i3−i3−2i2i01-1−33i−ii−i000000000000000000000000000000000000000
χ894-44-4-2-200-442-2222-22323−23−231−4i4i01-1-123−23002i−2i2i−2i-22−3−333-2202i3−2i300−i3i3−i3i32i−2i01-1−33−ii−ii000000000000000000000000000000000000000
χ904-44-4-2-200-442-2222-2−23−23232314i−4i01-1-1−232300−2i2i−2i2i-2233−3−3-2202i3−2i300−i3i3−i3i3−2i2i01-13−3i−ii−i000000000000000000000000000000000000000
χ914-44-4-2-200-442-2222-2−23−2323231−4i4i01-1-1−2323002i−2i2i−2i-2233−3−3-220−2i32i300i3−i3i3−i32i−2i01-13−3−ii−ii000000000000000000000000000000000000000
χ924-4-44440000-4-444-4-400004000-44-400000000000000000000000000000000000000000000−2i22i200000000−2i22i22i2−2i200000000000000000
χ934-4-44440000-4-444-4-400004000-44-4000000000000000000000000000000000000000000002i2−2i2000000002i2−2i2−2i22i200000000000000000
χ944-4-44-24000022-24-4-423−23−2323-20002-22000000000023−23−2323000000000000000000000000000000−2i22i20000−i6i6i6−i6i2−i2−i2i200000000000000000
χ954-4-44-24000022-24-4-423−23−2323-20002-22000000000023−23−23230000000000000000000000000000002i2−2i20000i6−i6−i6i6−i2i2i2−i200000000000000000
χ964-4-44-24000022-24-4-4−232323−23-20002-220000000000−232323−23000000000000000000000000000000−2i22i20000i6−i6−i6i6i2−i2−i2i200000000000000000
χ974-4-44-24000022-24-4-4−232323−23-20002-220000000000−232323−230000000000000000000000000000002i2−2i20000−i6i6i6−i6−i2i2i2−i200000000000000000
χ9888-8-8-4-48-800-4444-44-44-442000-2-2200-440000002-22-20000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-8800-4444-444-44-42000-2-22004-4000000-22-220000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000-8-88-4440000-40004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000044-4-44443−43−43432000-22-20000000000−232323−230000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000044-4-444−434343−432000-22-2000000000023−23−23230000000000000000000000000000000000000000000000000000000000000

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