Finite Group Databasebeta

← Group #11895965

Character table — Group #11895965

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order1222334444666666121212123444666121212121212121212121212121212122666666661212121212121212121212444444888812121212242424242424242422466661212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-1-1-111-1-1-1-1
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
χ51111111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1
χ61111111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111
χ71111111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-11111-1-1-1-1-1-111-1-1
χ9111111-1-111111111-1-1-1-11-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-11111111-11-111-1-111-1-11111-1-1-1-11-1-111-1-111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-11-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1111111-11-1111-1-1-1-1111111-1-1-1-1-11-1-1-11111-1-1-11-11-11
χ11111111-1-111111111-1-1-1-11-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-11111-1-11-11-1-1-11111-1-1-1-1-1-111111-1111-1-1-1-1111-1-11-11
χ12111111-1-111111111-1-1-1-11-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-11-11-1-111-1-111-1-1-1-11111-111-1-111-1-111-111-11-1
χ13111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1-1-11111-11-1-1-11111-1-11-11-1-11
χ14111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-111-11-11-1-111-1-111-1-1-1-111111-1-111-1-111-1-1-11-111-1
χ15111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-111-1-111-1-1111-1-111-1
χ16111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-11-1111-1-1-1-111-111-1-11
χ1722222222-2-222222222222-200222-2-2-2-22200002222-2-200000000000-2-2-2-2-200000022-2-20000-2-2-2-20000000000000000000220000
χ1822222222-2-222222222222-200222-2-2-2-22200002222-2-200000000000-2-2-2-2-2000000-2-222000022220000000000000000000-2-20000
χ19222222-2-2-2-2222222-2-2-2-22200222-2-222-2-20000-2-2-2-2-2-2000000000002-2-2220000002-2-220000-2-22200000000000000000002-20000
χ20222222-2-2-2-2222222-2-2-2-22200222-2-222-2-20000-2-2-2-2-2-2000000000002-2-222000000-222-2000022-2-20000000000000000000-220000
χ2122222-12222-1222-1-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-10022220000-1-1-1-100000000220-1-1-1-10000-1-10000
χ2222222-12222-1222-1-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-100-2-2-2-20000111100000000-2-2011110000110000
χ2322222-12222-1222-1-12222-12-2-2-1-1-1-1-122-1-11111-1-1-1-122-2-2-2111111-2-2-1-1-1-1-111110022220000-1-1-1-100000000-2-2011110000-1-10000
χ2422222-12222-1222-1-12222-12-2-2-1-1-1-1-122-1-11111-1-1-1-122-2-2-2111111-2-2-1-1-1-1-1111100-2-2-2-20000111100000000220-1-1-1-10000110000
χ2522222-122-2-2-1222-1-12222-1-200-1-1-111-2-2-1-1−i3−i3i3i3-1-1-1-1-2-2000−i3i3−i3−i3i3i30011111−i3−i3i3i30022-2-20000111100000000000−i3i3−i3i30000-1-10000
χ2622222-122-2-2-1222-1-12222-1-200-1-1-111-2-2-1-1−i3−i3i3i3-1-1-1-1-2-2000−i3i3−i3−i3i3i30011111−i3−i3i3i300-2-2220000-1-1-1-100000000000i3−i3i3−i30000110000
χ2722222-122-2-2-1222-1-12222-1-200-1-1-111-2-2-1-1i3i3−i3−i3-1-1-1-1-2-2000i3−i3i3i3−i3−i30011111i3i3−i3−i30022-2-20000111100000000000i3−i3i3−i30000-1-10000
χ2822222-122-2-2-1222-1-12222-1-200-1-1-111-2-2-1-1i3i3−i3−i3-1-1-1-1-2-2000i3−i3i3i3−i3−i30011111i3i3−i3−i300-2-2220000-1-1-1-100000000000−i3i3−i3i30000110000
χ2922222-1-2-222-1222-1-1-2-2-2-2-1-222-1-1-1-1-1-2-211-1-1-1-1111122-2-2-2111111221-1-111-1-1-1-1002-22-20000-1-111000000002-20-1-1110000-110000
χ3022222-1-2-222-1222-1-1-2-2-2-2-1-222-1-1-1-1-1-2-211-1-1-1-1111122-2-2-2111111221-1-111-1-1-1-100-22-22000011-1-100000000-22011-1-100001-10000
χ3122222-1-2-222-1222-1-1-2-2-2-2-1-2-2-2-1-1-1-1-1-2-2111111111122222-1-1-1-1-1-1-2-21-1-1111111002-22-20000-1-11100000000-22011-1-10000-110000
χ3222222-1-2-222-1222-1-1-2-2-2-2-1-2-2-2-1-1-1-1-1-2-2111111111122222-1-1-1-1-1-1-2-21-1-111111100-22-22000011-1-1000000002-20-1-11100001-10000
χ3322222-1-2-2-2-2-1222-1-1-2-2-2-2-1200-1-1-1112211−i3−i3i3i31111-2-2000i3−i3i3i3−i3−i300-111-1-1−i3−i3i3i3002-2-22000011-1-100000000000−i3i3i3−i30000-110000
χ3422222-1-2-2-2-2-1222-1-1-2-2-2-2-1200-1-1-1112211−i3−i3i3i31111-2-2000i3−i3i3i3−i3−i300-111-1-1−i3−i3i3i300-222-20000-1-11100000000000i3−i3−i3i300001-10000
χ3522222-1-2-2-2-2-1222-1-1-2-2-2-2-1200-1-1-1112211i3i3−i3−i31111-2-2000−i3i3−i3−i3i3i300-111-1-1i3i3−i3−i3002-2-22000011-1-100000000000i3−i3−i3i30000-110000
χ3622222-1-2-2-2-2-1222-1-1-2-2-2-2-1200-1-1-1112211i3i3−i3−i31111-2-2000−i3i3−i3−i3i3i300-111-1-1i3i3−i3−i300-222-20000-1-11100000000000−i3i3i3−i300001-10000
χ372222-1222222-1-1-122-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-12-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-10020000-1-1-1-1000000
χ382222-1222222-1-1-122-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-12-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-20000-2-2-2-200001111111100-200001111000000
χ392222-1222222-1-1-122-1-1-1-1-12-2-2-1-1-122-1-122-2-2-2-2-1-1-1-1-1-1-211-2-21111112-1-1-1-11111220000-2-2-2-20000111111110020000-1-1-1-1000000
χ402222-1222222-1-1-122-1-1-1-1-12-2-2-1-1-122-1-122-2-2-2-2-1-1-1-1-1-1-211-2-21111112-1-1-1-11111-2-2000022220000-1-1-1-1-1-1-1-100-200001111000000
χ412222-12-2-2222-1-1-1221111-1-222-1-1-12211-2-222221111-1-1-211-2-21111-1-1-2-1-111-1-1-1-122000022-2-20000-1-1-1-1111100-20000-1-111000000
χ422222-12-2-2222-1-1-1221111-1-222-1-1-12211-2-222221111-1-1-211-2-21111-1-1-2-1-111-1-1-1-1-2-20000-2-22200001111-1-1-1-1002000011-1-1000000
χ432222-12-2-2222-1-1-1221111-1-2-2-2-1-1-12211-2-2-2-2-2-21111-1-12-1-122-1-1-1-111-2-1-1111111220000-2-22200001111-1-1-1-100-20000-1-111000000
χ442222-12-2-2222-1-1-1221111-1-2-2-2-1-1-12211-2-2-2-2-2-21111-1-12-1-122-1-1-1-111-2-1-1111111-2-2000022-2-20000-1-1-1-11111002000011-1-1000000
χ4522-2-22200-222-22-2-2-20000202i−2i2-2-22-200002i−2i2i−2i00002-20000000002i−2i02-2002i−2i2i−2i2-200002i−2i0000002i2i−2i−2i000000000002-200000000
χ4622-2-22200-222-22-2-2-20000202i−2i2-2-22-200002i−2i2i−2i00002-20000000002i−2i02-2002i−2i2i−2i-220000−2i2i000000−2i−2i2i2i00000000000-2200000000
χ4722-2-22200-222-22-2-2-2000020−2i2i2-2-22-20000−2i2i−2i2i00002-2000000000−2i2i02-200−2i2i−2i2i2-20000−2i2i000000−2i−2i2i2i000000000002-200000000
χ4822-2-22200-222-22-2-2-2000020−2i2i2-2-22-20000−2i2i−2i2i00002-2000000000−2i2i02-200−2i2i−2i2i-2200002i−2i0000002i2i−2i−2i00000000000-2200000000
χ4922-2-2-1200-2221-11-2-233−3−3-102i−2i-1112-23−3002i−2i2i−2i33−3−3-110−i3i300−i3i3−i3i3−ii0-113−3−ii−ii2-200002i−2i000000−i−iii−i3−i3i3i30000000-113−3000000
χ5022-2-2-1200-2221-11-2-233−3−3-102i−2i-1112-23−3002i−2i2i−2i33−3−3-110−i3i300−i3i3−i3i3−ii0-113−3−ii−ii-220000−2i2i000000ii−i−ii3i3−i3−i300000001-1−33000000
χ5122-2-2-1200-2221-11-2-233−3−3-10−2i2i-1112-23−300−2i2i−2i2i33−3−3-110i3−i300i3−i3i3−i3i−i0-113−3i−ii−i2-20000−2i2i000000ii−i−ii3i3−i3−i30000000-113−3000000
χ5222-2-2-1200-2221-11-2-233−3−3-10−2i2i-1112-23−300−2i2i−2i2i33−3−3-110i3−i300i3−i3i3−i3i−i0-113−3i−ii−i-2200002i−2i000000−i−iii−i3−i3i3i300000001-1−33000000
χ5322-2-2-1200-2221-11-2-2−3−333-102i−2i-1112-2−33002i−2i2i−2i−3−333-110i3−i300i3−i3i3−i3−ii0-11−33−ii−ii2-200002i−2i000000−i−iiii3i3−i3−i30000000-11−33000000
χ5422-2-2-1200-2221-11-2-2−3−333-102i−2i-1112-2−33002i−2i2i−2i−3−333-110i3−i300i3−i3i3−i3−ii0-11−33−ii−ii-220000−2i2i000000ii−i−i−i3−i3i3i300000001-13−3000000
χ5522-2-2-1200-2221-11-2-2−3−333-10−2i2i-1112-2−3300−2i2i−2i2i−3−333-110−i3i300−i3i3−i3i3i−i0-11−33i−ii−i2-20000−2i2i000000ii−i−i−i3−i3i3i30000000-11−33000000
χ5622-2-2-1200-2221-11-2-2−3−333-10−2i2i-1112-2−3300−2i2i−2i2i−3−333-110−i3i300−i3i3−i3i3i−i0-11−33i−ii−i-2200002i−2i000000−i−iiii3i3−i3−i300000001-13−3000000
χ574444-2444-4-44-2-2-244-2-2-2-2-2-400-2-2-2-4-422440000-2-2-2-22200000000000-422220000000000000000000000000000000000000000000
χ584444-24-4-4-4-44-2-2-2442222-2400-2-2-2-4-4-2-2-4-4000022222200000000000422-2-20000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-2-2-2-2-214-4-4111-2-2-2-2-2-222221111-2-2-42222-1-1-1-122-21111-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-4001112222-2-2−2i3−2i32i32i3111122000−2i32i3i3i3−i3−i3002-1-1-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-4001112222-2-22i32i3−2i3−2i31111220002i3−2i3−i3−i3i3i3002-1-1-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-222221-444111-2-22222-2-2-2-2-1-1-1-1-2-2-42222-1-1-1-1-2-2211-1-11111000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-222221-4-4-4111-2-222222222-1-1-1-1-2-24-2-2-2-2111122211-1-1-1-1-1-1000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-22222140011122-2-222−2i3−2i32i32i3-1-1-1-1220002i3−2i3−i3−i3i3i300-2-1-111i3i3−i3−i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-22222140011122-2-2222i32i3−2i3−2i3-1-1-1-122000−2i32i3i3i3−i3−i300-2-1-111−i3−i3i3i3000000000000000000000000000000000000000
χ6744-4-444004-44-44-4-4-4000040004-4-4-44000000000000-44000000000000-44000000000000000000000000000000000000000000000
χ6844-4-44-2004-4-2-44-4220000-2000-2222-2000023−23−23230000-440000000000002-20023−23−2323000000000000000000000000000000000000000
χ6944-4-44-2004-4-2-44-4220000-2000-2222-20000−232323−230000-440000000000002-200−232323−23000000000000000000000000000000000000000
χ7044-4-44-200-44-2-44-4220000-204i−4i-222-220000−2i2i−2i2i00004-40000000004i−4i0-2200−2i2i−2i2i000000000000000000000000000000000000000
χ7144-4-44-200-44-2-44-4220000-20−4i4i-222-2200002i−2i2i−2i00004-4000000000−4i4i0-22002i−2i2i−2i000000000000000000000000000000000000000
χ7244-4-4-24004-442-22-4-42323−23−23-2000-222-44−23230000002323−23−232-20000000000002-2−23230000000000000000000000000000000000000000000
χ7344-4-4-24004-442-22-4-4−23−232323-2000-222-4423−23000000−23−2323232-20000000000002-223−230000000000000000000000000000000000000000000
χ7444-4-4-2-2004-4-22-22222323−23−2310001-1-12-2−23230023−23−2323−3−3332-200000-333-3000-113−3−333−3000000000000000000000000000000000000000
χ7544-4-4-2-2004-4-22-22222323−23−2310001-1-12-2−232300−232323−23−3−3332-2000003-3-33000-113−33−3−33000000000000000000000000000000000000000
χ7644-4-4-2-2004-4-22-2222−23−23232310001-1-12-223−230023−23−232333−3−32-2000003-3-33000-11−33−333−3000000000000000000000000000000000000000
χ7744-4-4-2-2004-4-22-2222−23−23232310001-1-12-223−2300−232323−2333−3−32-200000-333-3000-11−333−3−33000000000000000000000000000000000000000
χ7844-4-4-2-200-44-22-22222323−23−23104i−4i1-1-1-2223−2300−2i2i−2i2i−3−333-220−2i32i300i3−i3i3−i3−2i2i01-1−33i−ii−i000000000000000000000000000000000000000
χ7944-4-4-2-200-44-22-22222323−23−2310−4i4i1-1-1-2223−23002i−2i2i−2i−3−333-2202i3−2i300−i3i3−i3i32i−2i01-1−33−ii−ii000000000000000000000000000000000000000
χ8044-4-4-2-200-44-22-2222−23−232323104i−4i1-1-1-22−232300−2i2i−2i2i33−3−3-2202i3−2i300−i3i3−i3i3−2i2i01-13−3i−ii−i000000000000000000000000000000000000000
χ8144-4-4-2-200-44-22-2222−23−23232310−4i4i1-1-1-22−2323002i−2i2i−2i33−3−3-220−2i32i300i3−i3i3−i32i−2i01-13−3−ii−ii000000000000000000000000000000000000000
χ824-44-4440000-4-4-444-400004000-44-400000000000000000000000000000000000000000000−2i22i200000000−2i22i2−2i22i200000000000000000
χ834-44-4440000-4-4-444-400004000-44-4000000000000000000000000000000000000000000002i2−2i2000000002i2−2i22i2−2i200000000000000000
χ844-44-4-240000-422-24-423−2323−23-20002-22000000000023−2323−23000000000000000000000000000000−2i22i20000i6−i6i6−i6i2−i2i2−i200000000000000000
χ854-44-4-240000-422-24-423−2323−23-20002-22000000000023−2323−230000000000000000000000000000002i2−2i20000−i6i6−i6i6−i2i2−i2i200000000000000000
χ864-44-4-240000-422-24-4−2323−2323-20002-220000000000−2323−2323000000000000000000000000000000−2i22i20000−i6i6−i6i6i2−i2i2−i200000000000000000
χ874-44-4-240000-422-24-4−2323−2323-20002-220000000000−2323−23230000000000000000000000000000002i2−2i20000i6−i6i6−i6−i2i2−i2i200000000000000000
χ884-4-44444-400-44-4-4-444-4-444000-4-4400004-400004-4-440000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-4400-44-4-4-44-444-44000-4-440000-440000-444-40000000000000000000000000000000000000000000000000000000000000
χ904-4-444-24-40024-4-42-24-4-44-200022-20000-220000-222-200000000000000000000000000000000−2i32i3−2i32i30000000000000000000000000
χ914-4-444-24-40024-4-42-24-4-44-200022-20000-220000-222-2000000000000000000000000000000002i3−2i32i3−2i30000000000000000000000000
χ924-4-444-2-440024-4-42-2-444-4-200022-200002-200002-2-2200000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ934-4-444-2-440024-4-42-2-444-4-200022-200002-200002-2-22000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ944-4-44-244-400-4-222-44-222-2-200022-200004-40000-222-20000000000000000000000000000000000006−6−66−666−600000000000000000
χ954-4-44-244-400-4-222-44-222-2-200022-200004-40000-222-2000000000000000000000000000000000000−666−66−6−6600000000000000000
χ964-4-44-24-4400-4-222-442-2-22-200022-20000-4400002-2-220000000000000000000000000000000000006−6−666−6−6600000000000000000
χ974-4-44-24-4400-4-222-442-2-22-200022-20000-4400002-2-22000000000000000000000000000000000000−666−6−666−600000000000000000
χ988-88-88-400004-8-88-440000-40004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-40000444-4-4443−4343−432000-22-20000000000−2323−23230000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-40000444-4-44−4343−43432000-22-2000000000023−2323−230000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-48-8004-4444-4-444-42000-2-220000-4400002-2-220000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-88004-4444-44-4-442000-2-2200004-40000-222-20000000000000000000000000000000000000000000000000000000000000

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