Finite Group Databasebeta

← Group #11895763

Character table — Group #11895763

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order12223344446666661212121234446661212121212121212121212121212121226666666612121212121212121212122244448888121212122424242424242424224666666121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1
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
χ5111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1
χ6111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111
χ7111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-11111-1-1-1-111-1-1
χ9111111-1-111111111-1-1-1-1111-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111111-11-111-1-111-1-11111-1-1-1-11-1-11111-1-11-1-1-11-11-1
χ10111111-1-111111111-1-1-1-1111-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1111-1-1-1-1111111-1-1-1-1-11-111-1-111-11-1-1-11-11
χ11111111-1-111111111-1-1-1-1111-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1-1-11111-1-1-1-1-1-111111-11-1-111-1-11-111-11-11
χ12111111-1-111111111-1-1-1-1111-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11-11-1-111-1-111-1-1-1-11111-111-1-1-1-111-11111-11-1
χ13111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1-1-11111-11-111-1-1111-1-1-11-1-11
χ14111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-111-11-11-1-111-1-111-1-1-1-111111-1-11111-1-1-11-1-1-111-1
χ15111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-111-1-1-1-1111-111-111-1
χ16111111-1-111111111-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-11-11-1-111-1-1-11111-1-11
χ1722222222-2-22222222222200-2222-2-2-2-22200002222-2-2000000000-200-2-2-2-200000022-2-20000222200000000000000000-2-2000000
χ1822222222-2-22222222222200-2222-2-2-2-22200002222-2-2000000000-200-2-2-2-2000000-2-2220000-2-2-2-20000000000000000022000000
χ19222222-2-2-2-2222222-2-2-2-22002222-2-222-2-20000-2-2-2-2-2-2000000000200-2-2220000002-2-22000022-2-200000000000000000-22000000
χ20222222-2-2-2-2222222-2-2-2-22002222-2-222-2-20000-2-2-2-2-2-2000000000200-2-222000000-222-20000-2-222000000000000000002-2000000
χ2122222-1222222-1-12-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10022220000-1-1-1-10000000022000-1-1-1-1-1-1000000
χ2222222-1222222-1-12-12222-1222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-20000111100000000-2-2000111111000000
χ2322222-1222222-1-12-12222-1-2-22-1-1-1-1-122-1-11111-1-1-1-122-2-2-2111111-1-2-2-1-1-1-111110022220000-1-1-1-100000000-2-20001111-1-1000000
χ2422222-1222222-1-12-12222-1-2-22-1-1-1-1-122-1-11111-1-1-1-122-2-2-2111111-1-2-2-1-1-1-1111100-2-2-2-2000011110000000022000-1-1-1-111000000
χ2522222-122-2-222-1-12-12222-100-2-1-1-111-2-2-1-1−i3−i3i3i3-1-1-1-1-2-2000−i3i3−i3−i3i3i31001111−i3−i3i3i30022-2-20000-1-1-1-10000000000000−i3i3−i3i311000000
χ2622222-122-2-222-1-12-12222-100-2-1-1-111-2-2-1-1−i3−i3i3i3-1-1-1-1-2-2000−i3i3−i3−i3i3i31001111−i3−i3i3i300-2-222000011110000000000000i3−i3i3−i3-1-1000000
χ2722222-122-2-222-1-12-12222-100-2-1-1-111-2-2-1-1i3i3−i3−i3-1-1-1-1-2-2000i3−i3i3i3−i3−i31001111i3i3−i3−i30022-2-20000-1-1-1-10000000000000i3−i3i3−i311000000
χ2822222-122-2-222-1-12-12222-100-2-1-1-111-2-2-1-1i3i3−i3−i3-1-1-1-1-2-2000i3−i3i3i3−i3−i31001111i3i3−i3−i300-2-222000011110000000000000−i3i3−i3i3-1-1000000
χ2922222-1-2-22222-1-12-1-2-2-2-2-122-2-1-1-1-1-1-2-211-1-1-1-1111122-2-2-2111111122-1-111-1-1-1-1002-22-20000-1-111000000002-2000-1-111-11000000
χ3022222-1-2-22222-1-12-1-2-2-2-2-122-2-1-1-1-1-1-2-211-1-1-1-1111122-2-2-2111111122-1-111-1-1-1-100-22-22000011-1-100000000-2200011-1-11-1000000
χ3122222-1-2-22222-1-12-1-2-2-2-2-1-2-2-2-1-1-1-1-1-2-2111111111122222-1-1-1-1-1-11-2-2-1-1111111002-22-20000-1-11100000000-2200011-1-1-11000000
χ3222222-1-2-22222-1-12-1-2-2-2-2-1-2-2-2-1-1-1-1-1-2-2111111111122222-1-1-1-1-1-11-2-2-1-111111100-22-22000011-1-1000000002-2000-1-1111-1000000
χ3322222-1-2-2-2-222-1-12-1-2-2-2-2-1002-1-1-1112211−i3−i3i3i31111-2-2000i3−i3i3i3−i3−i3-10011-1-1−i3−i3i3i3002-2-220000-1-1110000000000000−i3i3i3−i31-1000000
χ3422222-1-2-2-2-222-1-12-1-2-2-2-2-1002-1-1-1112211−i3−i3i3i31111-2-2000i3−i3i3i3−i3−i3-10011-1-1−i3−i3i3i300-222-2000011-1-10000000000000i3−i3−i3i3-11000000
χ3522222-1-2-2-2-222-1-12-1-2-2-2-2-1002-1-1-1112211i3i3−i3−i31111-2-2000−i3i3−i3−i3i3i3-10011-1-1i3i3−i3−i3002-2-220000-1-1110000000000000i3−i3−i3i31-1000000
χ3622222-1-2-2-2-222-1-12-1-2-2-2-2-1002-1-1-1112211i3i3−i3−i31111-2-2000−i3i3−i3−i3i3i3-10011-1-1i3i3−i3−i300-222-2000011-1-10000000000000−i3i3i3−i3-11000000
χ372222-122222-1-122-12-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-12-1-122-1-1-1-12-1-1-1-1-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-1002-1-1000000-1-10000
χ382222-122222-1-122-12-1-1-1-1-1222-1-1-122-1-1222222-1-1-1-1-1-12-1-122-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-200001111111100-211000000110000
χ392222-122222-1-122-12-1-1-1-1-1-2-22-1-1-122-1-122-2-2-2-2-1-1-1-1-1-1-211-2-21111211-1-1-1-11111220000-2-2-2-2000011111111002-1-1000000-1-10000
χ402222-122222-1-122-12-1-1-1-1-1-2-22-1-1-122-1-122-2-2-2-2-1-1-1-1-1-1-211-2-21111211-1-1-1-11111-2-2000022220000-1-1-1-1-1-1-1-100-211000000110000
χ412222-12-2-222-1-122-121111-122-2-1-1-12211-2-222221111-1-1-211-2-21111-2-1-1-1-111-1-1-1-122000022-2-20000-1-1-1-1111100-2-1-1000000110000
χ422222-12-2-222-1-122-121111-122-2-1-1-12211-2-222221111-1-1-211-2-21111-2-1-1-1-111-1-1-1-1-2-20000-2-22200001111-1-1-1-100211000000-1-10000
χ432222-12-2-222-1-122-121111-1-2-2-2-1-1-12211-2-2-2-2-2-21111-1-12-1-122-1-1-1-1-211-1-1111111220000-2-22200001111-1-1-1-100-2-1-1000000110000
χ442222-12-2-222-1-122-121111-1-2-2-2-1-1-12211-2-2-2-2-2-21111-1-12-1-122-1-1-1-1-211-1-1111111-2-2000022-2-20000-1-1-1-1111100211000000-1-10000
χ4522-2-22200-222-22-2-2-2000022i−2i02-2-22-200002i−2i2i−2i00002-200000000002i−2i2-2002i−2i2i−2i2-200002i−2i0000002i2i−2i−2i00000002-2000000000000
χ4622-2-22200-222-22-2-2-2000022i−2i02-2-22-200002i−2i2i−2i00002-200000000002i−2i2-2002i−2i2i−2i-220000−2i2i000000−2i−2i2i2i0000000-22000000000000
χ4722-2-22200-222-22-2-2-200002−2i2i02-2-22-20000−2i2i−2i2i00002-20000000000−2i2i2-200−2i2i−2i2i2-20000−2i2i000000−2i−2i2i2i00000002-2000000000000
χ4822-2-22200-222-22-2-2-200002−2i2i02-2-22-20000−2i2i−2i2i00002-20000000000−2i2i2-200−2i2i−2i2i-2200002i−2i0000002i2i−2i−2i0000000-22000000000000
χ4922-2-2-1200-22-112-21-233−3−3-12i−2i0-1112-23−3002i−2i2i−2i33−3−3-110−i3i300−i3i3−i3i30−ii-113−3−ii−ii2-200002i−2i000000−i−iii−i3−i3i3i3000-110000003−30000
χ5022-2-2-1200-22-112-21-233−3−3-12i−2i0-1112-23−3002i−2i2i−2i33−3−3-110−i3i300−i3i3−i3i30−ii-113−3−ii−ii-220000−2i2i000000ii−i−ii3i3−i3−i30001-1000000−330000
χ5122-2-2-1200-22-112-21-233−3−3-1−2i2i0-1112-23−300−2i2i−2i2i33−3−3-110i3−i300i3−i3i3−i30i−i-113−3i−ii−i2-20000−2i2i000000ii−i−ii3i3−i3−i3000-110000003−30000
χ5222-2-2-1200-22-112-21-233−3−3-1−2i2i0-1112-23−300−2i2i−2i2i33−3−3-110i3−i300i3−i3i3−i30i−i-113−3i−ii−i-2200002i−2i000000−i−iii−i3−i3i3i30001-1000000−330000
χ5322-2-2-1200-22-112-21-2−3−333-12i−2i0-1112-2−33002i−2i2i−2i−3−333-110i3−i300i3−i3i3−i30−ii-11−33−ii−ii2-200002i−2i000000−i−iiii3i3−i3−i3000-11000000−330000
χ5422-2-2-1200-22-112-21-2−3−333-12i−2i0-1112-2−33002i−2i2i−2i−3−333-110i3−i300i3−i3i3−i30−ii-11−33−ii−ii-220000−2i2i000000ii−i−i−i3−i3i3i30001-10000003−30000
χ5522-2-2-1200-22-112-21-2−3−333-1−2i2i0-1112-2−3300−2i2i−2i2i−3−333-110−i3i300−i3i3−i3i30i−i-11−33i−ii−i2-20000−2i2i000000ii−i−i−i3−i3i3i3000-11000000−330000
χ5622-2-2-1200-22-112-21-2−3−333-1−2i2i0-1112-2−3300−2i2i−2i2i−3−333-110−i3i300−i3i3−i3i30i−i-11−33i−ii−i-2200002i−2i000000−i−iiii3i3−i3−i30001-10000003−30000
χ574444-2444-4-4-2-244-24-2-2-2-2-200-4-2-2-2-4-422440000-2-2-2-222000000000-40022220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-242222-2004-2-2-2-4-4-2-2-4-4000022222200000000040022-2-20000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-2-222221111-2-2-42222-1-1-1-1-2221111-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-41112222-2-2−2i3−2i32i32i3111122000−2i32i3i3i3−i3−i3200-1-1-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-41112222-2-22i32i3−2i3−2i31111220002i3−2i3−i3−i3i3i3200-1-1-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222144-4111-2-22222-2-2-2-2-1-1-1-1-2-2-42222-1-1-1-12-2-211-1-11111000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-222221-4-4-4111-2-222222222-1-1-1-1-2-24-2-2-2-2111122211-1-1-1-1-1-1000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-22222100411122-2-222−2i3−2i32i32i3-1-1-1-1220002i3−2i3−i3−i3i3i3-200-1-111i3i3−i3−i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-22222100411122-2-2222i32i3−2i3−2i3-1-1-1-122000−2i32i3i3i3−i3−i3-200-1-111−i3−i3i3i3000000000000000000000000000000000000000
χ6744-4-444004-44-44-4-4-4000040004-4-4-44000000000000-44000000000000-44000000000000000000000000000000000000000000000
χ6844-4-44-2004-44-4-22-420000-2000-2222-2000023−23−23230000-440000000000002-20023−23−2323000000000000000000000000000000000000000
χ6944-4-44-2004-44-4-22-420000-2000-2222-20000−232323−230000-440000000000002-200−232323−23000000000000000000000000000000000000000
χ7044-4-44-200-444-4-22-420000-24i−4i0-222-220000−2i2i−2i2i00004-400000000004i−4i-2200−2i2i−2i2i000000000000000000000000000000000000000
χ7144-4-44-200-444-4-22-420000-2−4i4i0-222-2200002i−2i2i−2i00004-40000000000−4i4i-22002i−2i2i−2i000000000000000000000000000000000000000
χ7244-4-4-24004-4-224-42-42323−23−23-2000-222-44−23230000002323−23−232-20000000000002-2−23230000000000000000000000000000000000000000000
χ7344-4-4-24004-4-224-42-4−23−232323-2000-222-4423−23000000−23−2323232-20000000000002-223−230000000000000000000000000000000000000000000
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
χ7844-4-4-2-200-44-22-22222323−23−2314i−4i01-1-1-2223−2300−2i2i−2i2i−3−333-220−2i32i300i3−i3i3−i30−2i2i1-1−33i−ii−i000000000000000000000000000000000000000
χ7944-4-4-2-200-44-22-22222323−23−231−4i4i01-1-1-2223−23002i−2i2i−2i−3−333-2202i3−2i300−i3i3−i3i302i−2i1-1−33−ii−ii000000000000000000000000000000000000000
χ8044-4-4-2-200-44-22-2222−23−23232314i−4i01-1-1-22−232300−2i2i−2i2i33−3−3-2202i3−2i300−i3i3−i3i30−2i2i1-13−3i−ii−i000000000000000000000000000000000000000
χ8144-4-4-2-200-44-22-2222−23−2323231−4i4i01-1-1-22−2323002i−2i2i−2i33−3−3-220−2i32i300i3−i3i3−i302i−2i1-13−3−ii−ii000000000000000000000000000000000000000
χ824-44-4444-400-4-4-4-4444-44-44000-4-4400004-400004-44-40000000000000000000000000000000000000000000000000000000000000
χ834-44-444-4400-4-4-4-444-44-444000-4-440000-440000-44-440000000000000000000000000000000000000000000000000000000000000
χ844-44-44-24-400-4-4224-24-44-4-200022-20000-220000-22-2200000000000000000000000000000000−2i32i3−2i32i30000000000000000000000000
χ854-44-44-24-400-4-4224-24-44-4-200022-20000-220000-22-22000000000000000000000000000000002i3−2i32i3−2i30000000000000000000000000
χ864-44-44-2-4400-4-4224-2-44-44-200022-200002-200002-22-200000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ874-44-44-2-4400-4-4224-2-44-44-200022-200002-200002-22-2000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ884-44-4-244-40022-4-4-24-22-22-200022-200004-40000-22-22000000000000000000000000000000000000i6−i6i6−i6i6−i6i6−i600000000000000000
χ894-44-4-244-40022-4-4-24-22-22-200022-200004-40000-22-22000000000000000000000000000000000000−i6i6−i6i6−i6i6−i6i600000000000000000
χ904-44-4-24-440022-4-4-242-22-2-200022-20000-4400002-22-2000000000000000000000000000000000000i6−i6i6−i6−i6i6−i6i600000000000000000
χ914-44-4-24-440022-4-4-242-22-2-200022-20000-4400002-22-2000000000000000000000000000000000000−i6i6−i6i6i6−i6i6−i600000000000000000
χ924-4-44440000-44-44-4-400004000-44-40000000000000000000000000000000000000000000022−220000000022−22−222200000000000000000
χ934-4-44440000-44-44-4-400004000-44-400000000000000000000000000000000000000000000−222200000000−222222−2200000000000000000
χ944-4-44-2400002-2-442-423−23−2323-20002-22000000000023−23−232300000000000000000000000000000022−2200006−6−66−222−200000000000000000
χ954-4-44-2400002-2-442-423−23−2323-20002-22000000000023−23−2323000000000000000000000000000000−22220000−666−62−2−2200000000000000000
χ964-4-44-2400002-2-442-4−232323−23-20002-220000000000−232323−2300000000000000000000000000000022−220000−666−6−222−200000000000000000
χ974-4-44-2400002-2-442-4−232323−23-20002-220000000000−232323−23000000000000000000000000000000−222200006−6−662−2−2200000000000000000
χ988-88-8-4-48-8004444-4-4-44-442000-2-220000-4400002-22-20000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-88004444-4-44-44-42000-2-2200004-40000-22-220000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000-884-4-840000-40004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400004-44-44443−43−43432000-22-20000000000−232323−230000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400004-44-444−434343−432000-22-2000000000023−23−23230000000000000000000000000000000000000000000000000000000000000

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