Finite Group Databasebeta

← Group #11895864

Character table — Group #11895864

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order122233444466666612121212344466612121212121212121212121212121212266666666121212121212121212121222444488881212121224242424242424244446612121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1
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
χ51111111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1
χ61111111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111
χ71111111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111
χ81111111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1111111-1-1
χ9111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111111-11-111-1-111-1-11111-1-1-1-11-1-111-1-11-111-1-11-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1111-1-1-1-1111111-1-1-1-1-11-111-1-1-11-1-111-11-11
χ11111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1-1-11111-1-1-1-1-1-111111-11-1-1111-111-1-1-11-11
χ12111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11-11-1-111-1-111-1-1-1-11111-111-1-111-11-1-1111-11-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1-1-11111-11-111-1-11-1-1-1111-1-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-111-1-1-1-1-1-111-11-11-1-111-1-111-1-1-1-111111-1-111-1-1-1111-1-1-111-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-111-1-1111-1-1-111-111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-11-11-1-111-1111-1-11-1-11
χ1722222222-2-222222222222-200222-2-2220000-2-22222-2-2000000000-200-2-2-2-200000022-2-200002222000000000000000-2-200000000
χ1822222222-2-222222222222-200222-2-2220000-2-22222-2-2000000000-200-2-2-2-2000000-2-2220000-2-2-2-20000000000000002200000000
χ19222222-2-2-2-2222222-2-2-2-2220022222-2-20000-2-2-2-2-2-2-2-2000000000200-2-2220000002-2-22000022-2-2000000000000000-2200000000
χ20222222-2-2-2-2222222-2-2-2-2220022222-2-20000-2-2-2-2-2-2-2-2000000000200-2-222000000-222-20000-2-2220000000000000002-200000000
χ2122222-12222-1-122-12-1-1-1-1-1222-1-1-1-1-122222222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-1002-1-1-1-10000000000
χ2222222-12222-1-122-12-1-1-1-1-1222-1-1-1-1-122222222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-200001111111100-211110000000000
χ2322222-12222-1-122-12-1-1-1-1-12-2-2-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-2-2-2111111211-1-1-1-11111220000-2-2-2-2000011111111002-1-1-1-10000000000
χ2422222-12222-1-122-12-1-1-1-1-12-2-2-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-2-2-2111111211-1-1-1-11111-2-2000022220000-1-1-1-1-1-1-1-100-211110000000000
χ2522222-1-2-222-1-122-121111-1-222-1-1-111-2-22222221111-1-1-2-2-2111111-2-1-1-1-111-1-1-1-122000022-2-20000-1-1-1-1111100-2-1-1110000000000
χ2622222-1-2-222-1-122-121111-1-222-1-1-111-2-22222221111-1-1-2-2-2111111-2-1-1-1-111-1-1-1-1-2-20000-2-22200001111-1-1-1-100211-1-10000000000
χ2722222-1-2-222-1-122-121111-1-2-2-2-1-1-111-2-2-2-2-2-2221111-1-1222-1-1-1-1-1-1-211-1-1111111220000-2-22200001111-1-1-1-100-2-1-1110000000000
χ2822222-1-2-222-1-122-121111-1-2-2-2-1-1-111-2-2-2-2-2-2221111-1-1222-1-1-1-1-1-1-211-1-1111111-2-2000022-2-20000-1-1-1-1111100211-1-10000000000
χ292222-12222222-1-12-12222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-122-1-1-1-1-1-1-1-10022220000-1-1-1-1000000002200000-1-1-1-1-1-10000
χ302222-12222222-1-12-12222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-20000111100000000-2-2000001111110000
χ312222-12222222-1-12-12222-12-2-2-1-1-122-1-11111-1-1-1-1-1-122-211-2-21111-1-2-2-1-1-1-111110022220000-1-1-1-100000000-2-200000-1-111110000
χ322222-12222222-1-12-12222-12-2-2-1-1-122-1-11111-1-1-1-1-1-122-211-2-21111-1-2-2-1-1-1-1111100-2-2-2-20000111100000000220000011-1-1-1-10000
χ332222-1222-2-222-1-12-12222-1-200-1-1-1-2-2-1-1−i3−i3i3i311-1-1-1-1-2-20−i3i300−i3−i3i3i31001111−i3−i3i3i30022-2-20000-1-1-1-100000000000000011−i3i3−i3i30000
χ342222-1222-2-222-1-12-12222-1-200-1-1-1-2-2-1-1−i3−i3i3i311-1-1-1-1-2-20−i3i300−i3−i3i3i31001111−i3−i3i3i300-2-22200001111000000000000000-1-1i3−i3i3−i30000
χ352222-1222-2-222-1-12-12222-1-200-1-1-1-2-2-1-1i3i3−i3−i311-1-1-1-1-2-20i3−i300i3i3−i3−i31001111i3i3−i3−i30022-2-20000-1-1-1-100000000000000011i3−i3i3−i30000
χ362222-1222-2-222-1-12-12222-1-200-1-1-1-2-2-1-1i3i3−i3−i311-1-1-1-1-2-20i3−i300i3i3−i3−i31001111i3i3−i3−i300-2-22200001111000000000000000-1-1−i3i3−i3i30000
χ372222-12-2-22222-1-12-1-2-2-2-2-1-222-1-1-1-2-211-1-1-1-1-1-1111122-211-2-21111122-1-111-1-1-1-1002-22-20000-1-111000000002-200000-11-1-1110000
χ382222-12-2-22222-1-12-1-2-2-2-2-1-222-1-1-1-2-211-1-1-1-1-1-1111122-211-2-21111122-1-111-1-1-1-100-22-22000011-1-100000000-22000001-111-1-10000
χ392222-12-2-22222-1-12-1-2-2-2-2-1-2-2-2-1-1-1-2-2111111-1-11111222-1-122-1-1-1-11-2-2-1-1111111002-22-20000-1-11100000000-2200000-1111-1-10000
χ402222-12-2-22222-1-12-1-2-2-2-2-1-2-2-2-1-1-1-2-2111111-1-11111222-1-122-1-1-1-11-2-2-1-111111100-22-22000011-1-1000000002-2000001-1-1-1110000
χ412222-12-2-2-2-222-1-12-1-2-2-2-2-1200-1-1-12211−i3−i3i3i3111111-2-20i3−i300i3i3−i3−i3-10011-1-1−i3−i3i3i3002-2-220000-1-1110000000000000001-1−i3i3i3−i30000
χ422222-12-2-2-2-222-1-12-1-2-2-2-2-1200-1-1-12211−i3−i3i3i3111111-2-20i3−i300i3i3−i3−i3-10011-1-1−i3−i3i3i300-222-2000011-1-1000000000000000-11i3−i3−i3i30000
χ432222-12-2-2-2-222-1-12-1-2-2-2-2-1200-1-1-12211i3i3−i3−i3111111-2-20−i3i300−i3−i3i3i3-10011-1-1i3i3−i3−i3002-2-220000-1-1110000000000000001-1i3−i3−i3i30000
χ442222-12-2-2-2-222-1-12-1-2-2-2-2-1200-1-1-12211i3i3−i3−i3111111-2-20−i3i300−i3−i3i3i3-10011-1-1i3i3−i3−i300-222-2000011-1-1000000000000000-11−i3i3i3−i30000
χ452-22-22200-222-2-2-2-220000202i−2i2-2-200002i−2i2i−2i2-200002-200000000002i−2i2-2002i−2i2i−2i2-200002i−2i0000002i2i−2i−2i00000002-2000000000000
χ462-22-22200-222-2-2-2-220000202i−2i2-2-200002i−2i2i−2i2-200002-200000000002i−2i2-2002i−2i2i−2i-220000−2i2i000000−2i−2i2i2i0000000-22000000000000
χ472-22-22200-222-2-2-2-22000020−2i2i2-2-20000−2i2i−2i2i2-200002-20000000000−2i2i2-200−2i2i−2i2i2-20000−2i2i000000−2i−2i2i2i00000002-2000000000000
χ482-22-22200-222-2-2-2-22000020−2i2i2-2-20000−2i2i−2i2i2-200002-20000000000−2i2i2-200−2i2i−2i2i-2200002i−2i0000002i2i−2i−2i0000000-22000000000000
χ492-22-22-100-22-11-2-21233−3−3-102i−2i-1113−3002i−2i2i−2i2-233−3−3-11000−i3i3−i3i3−i3i30−ii-113−3−ii−ii2-200002i−2i000000−i−iii−i3−i3i3i3000-113−30000000000
χ502-22-22-100-22-11-2-21233−3−3-102i−2i-1113−3002i−2i2i−2i2-233−3−3-11000−i3i3−i3i3−i3i30−ii-113−3−ii−ii-220000−2i2i000000ii−i−ii3i3−i3−i30001-1−330000000000
χ512-22-22-100-22-11-2-21233−3−3-10−2i2i-1113−300−2i2i−2i2i2-233−3−3-11000i3−i3i3−i3i3−i30i−i-113−3i−ii−i2-20000−2i2i000000ii−i−ii3i3−i3−i3000-113−30000000000
χ522-22-22-100-22-11-2-21233−3−3-10−2i2i-1113−300−2i2i−2i2i2-233−3−3-11000i3−i3i3−i3i3−i30i−i-113−3i−ii−i-2200002i−2i000000−i−iii−i3−i3i3i30001-1−330000000000
χ532-22-22-100-22-11-2-212−3−333-102i−2i-111−33002i−2i2i−2i2-2−3−333-11000i3−i3i3−i3i3−i30−ii-11−33−ii−ii2-200002i−2i000000−i−iiii3i3−i3−i3000-11−330000000000
χ542-22-22-100-22-11-2-212−3−333-102i−2i-111−33002i−2i2i−2i2-2−3−333-11000i3−i3i3−i3i3−i30−ii-11−33−ii−ii-220000−2i2i000000ii−i−i−i3−i3i3i30001-13−30000000000
χ552-22-22-100-22-11-2-212−3−333-10−2i2i-111−3300−2i2i−2i2i2-2−3−333-11000−i3i3−i3i3−i3i30i−i-11−33i−ii−i2-20000−2i2i000000ii−i−i−i3−i3i3i3000-11−330000000000
χ562-22-22-100-22-11-2-212−3−333-10−2i2i-111−3300−2i2i−2i2i2-2−3−333-11000−i3i3−i3i3−i3i30i−i-11−33i−ii−i-2200002i−2i000000−i−iiii3i3−i3−i30001-13−30000000000
χ5744444-244-4-4-2-244-24-2-2-2-2-2-400-2-2-222440000-4-4-2-2-2-222000000000-40022220000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-244-242222-2400-2-2-2-2-2-4-40000-4-422222200000000040022-2-20000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-2-2-2-2-214-4-4111-2-2-2-22222-2-21111-2-2-42222-1-1-1-1-2221111-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-40011122-2-2−2i3−2i32i32i3221111220−2i32i300i3i3−i3−i3200-1-1-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-40011122-2-22i32i3−2i3−2i32211112202i3−2i300−i3−i3i3i3200-1-1-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-222221-4441112222-2-2-2-2-2-2-1-1-1-1-2-2-42222-1-1-1-12-2-211-1-11111000000000000000000000000000000000000000
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
χ654444-2-2-4-4-4-4-2-2-2-2-2-222221400111-2-222−2i3−2i32i32i322-1-1-1-12202i3−2i300−i3−i3i3i3-200-1-111i3i3−i3−i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-222221400111-2-2222i32i3−2i3−2i322-1-1-1-1220−2i32i300i3i3−i3−i3-200-1-111−i3−i3i3i3000000000000000000000000000000000000000
χ6744-4-4440000-444-4-4-400004000-44-40000000000000000000000000000000000000000000022−220000000022−2222−2200000000000000000
χ6844-4-4440000-444-4-4-400004000-44-400000000000000000000000000000000000000000000−222200000000−2222−222200000000000000000
χ6944-4-44-200002-24-42-423−2323−23-20002-22000000000023−2323−2300000000000000000000000000000022−2200006−66−6−22−2200000000000000000
χ7044-4-44-200002-24-42-423−2323−23-20002-22000000000023−2323−23000000000000000000000000000000−22220000−66−662−22−200000000000000000
χ7144-4-44-200002-24-42-4−2323−2323-20002-220000000000−2323−232300000000000000000000000000000022−220000−66−66−22−2200000000000000000
χ7244-4-44-200002-24-42-4−2323−2323-20002-220000000000−2323−2323000000000000000000000000000000−222200006−66−62−22−200000000000000000
χ734-44-444004-44-4-4-4-44000040004-4-400000000-440000-44000000000000-44000000000000000000000000000000000000000000000
χ744-44-44-2004-4-22-4-4242323−23−23-2000-222−2323000000-442323−23−232-20000000000002-2−23230000000000000000000000000000000000000000000
χ754-44-44-2004-4-22-4-424−23−232323-2000-22223−23000000-44−23−2323232-20000000000002-223−230000000000000000000000000000000000000000000
χ764-44-4-24004-44-422-4-20000-2000-222000023−23−23232-20000-440000000000002-20023−23−2323000000000000000000000000000000000000000
χ774-44-4-24004-44-422-4-20000-2000-2220000−232323−232-20000-440000000000002-200−232323−23000000000000000000000000000000000000000
χ784-44-4-2400-444-422-4-20000-204i−4i-2220000−2i2i−2i2i-2200004-400000000004i−4i-2200−2i2i−2i2i000000000000000000000000000000000000000
χ794-44-4-2400-444-422-4-20000-20−4i4i-22200002i−2i2i−2i-2200004-40000000000−4i4i-22002i−2i2i−2i000000000000000000000000000000000000000
χ804-44-4-2-2004-4-22222-22323−23−2310001-1-1−23230023−23−23232-2−3−3332-200000-333-3000-113−3−333−3000000000000000000000000000000000000000
χ814-44-4-2-2004-4-22222-22323−23−2310001-1-1−232300−232323−232-2−3−3332-2000003-3-33000-113−33−3−33000000000000000000000000000000000000000
χ824-44-4-2-2004-4-22222-2−23−23232310001-1-123−230023−23−23232-233−3−32-2000003-3-33000-11−33−333−3000000000000000000000000000000000000000
χ834-44-4-2-2004-4-22222-2−23−23232310001-1-123−2300−232323−232-233−3−32-200000-333-3000-11−333−3−33000000000000000000000000000000000000000
χ844-44-4-2-200-44-22222-22323−23−23104i−4i1-1-123−2300−2i2i−2i2i-22−3−333-22000−2i32i3i3−i3i3−i30−2i2i1-1−33i−ii−i000000000000000000000000000000000000000
χ854-44-4-2-200-44-22222-22323−23−2310−4i4i1-1-123−23002i−2i2i−2i-22−3−333-220002i3−2i3−i3i3−i3i302i−2i1-1−33−ii−ii000000000000000000000000000000000000000
χ864-44-4-2-200-44-22222-2−23−232323104i−4i1-1-1−232300−2i2i−2i2i-2233−3−3-220002i3−2i3−i3i3−i3i30−2i2i1-13−3i−ii−i000000000000000000000000000000000000000
χ874-44-4-2-200-44-22222-2−23−23232310−4i4i1-1-1−2323002i−2i2i−2i-2233−3−3-22000−2i32i3i3−i3i3−i302i−2i1-13−3−ii−ii000000000000000000000000000000000000000
χ884-4-44444-400-4-4-444-44-4-444000-4-44004-40000004-4-440000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-4400-4-4-444-4-444-44000-4-4400-44000000-444-40000000000000000000000000000000000000000000000000000000000000
χ904-4-444-24-40022-44-2-4-222-2-200022-2004-4000000-222-2000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i600000000000000000
χ914-4-444-24-40022-44-2-4-222-2-200022-2004-4000000-222-2000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i600000000000000000
χ924-4-444-2-440022-44-2-42-2-22-200022-200-440000002-2-22000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000
χ934-4-444-2-440022-44-2-42-2-22-200022-200-440000002-2-22000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000
χ944-4-44-244-400-4-42-2424-4-44-200022-200-22000000-222-20000000000000000000000000000000023−2323−230000000000000000000000000
χ954-4-44-244-400-4-42-2424-4-44-200022-200-22000000-222-200000000000000000000000000000000−2323−23230000000000000000000000000
χ964-4-44-24-4400-4-42-242-444-4-200022-2002-20000002-2-220000000000000000000000000000000023−23−23230000000000000000000000000
χ974-4-44-24-4400-4-42-242-444-4-200022-2002-20000002-2-2200000000000000000000000000000000−232323−230000000000000000000000000
χ9888-8-8-480000-88-44-840000-40004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-400004-4-444443−4343−432000-22-20000000000−2323−23230000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-400004-4-4444−4343−43432000-22-2000000000023−2323−230000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-48-800444-4-44-444-42000-2-2200-440000002-2-220000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-8800444-4-444-4-442000-2-22004-4000000-222-20000000000000000000000000000000000000000000000000000000000000

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