Finite Group Databasebeta

← Group #11895667

Character table — Group #11895667

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12223344446666661212121234446661212121212121212121212128888412121212121212121212121212121212121212121244888888242424242424242444442241212121224242424446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-11111111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-1-111-1-111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-11111111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-11-111-1-1-1-111-11-11-11
χ11111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1-11111-1-1-111-1-11
χ12111111-1-111111111-1-1-1-1111-1111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-111-1-1111-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-11-1-11-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-111-1-111-111-11-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-11-111-1-111-1-1-11-111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-11-1-111-1-1-1-1111-11-1-11
χ1722222222-2-22222222222200-222222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-22222222222200-222222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22002222-2-2-222-2-2-2-2-2-2-200000200000000-2-22200000000000000000000000022-2-200000000000-220000
χ20222222-2-2-2-2222222-2-2-2-22002222-2-2-222-2-2-2-2-2-2-200000200000000-2-222000000000000000000000000-2-222000000000002-20000
χ2122222-122222-1-1-1222222-1222-1-1-1-1-1-122-1-1-1-122-100002-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000002200000-1-1-1-100-1-100
χ2222222-122222-1-1-1222222-1222-1-1-1-1-1-122-1-1-1-122-100002-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2000001111001100
χ2322222-122222-1-1-1222222-1-2-22-1-1-1-1-1-122-1-1-1-122-10000-2-11111-2-2-2-2-1-1-1-11111111100002222000000000000-2-200000-1-1-1-1001100
χ2422222-122222-1-1-1222222-1-2-22-1-1-1-1-1-122-1-1-1-122-10000-2-11111-2-2-2-2-1-1-1-1111111110000-2-2-2-20000000000002200000111100-1-100
χ2522222-1-2-2222-1-1-122-2-2-2-2-122-2-1-1-111-1-2-2111122-10000-21-1-11122-2-2-1-111-1-1-1-11111000022-2-20000000000002-200000-1-11100-1100
χ2622222-1-2-2222-1-1-122-2-2-2-2-122-2-1-1-111-1-2-2111122-10000-21-1-11122-2-2-1-111-1-1-1-111110000-2-222000000000000-220000011-1-1001-100
χ2722222-1-2-2222-1-1-122-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-100002111-1-1-2-222-1-1111111-1-1-1-1000022-2-2000000000000-2200000-1-111001-100
χ2822222-1-2-2222-1-1-122-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-100002111-1-1-2-222-1-1111111-1-1-1-10000-2-2220000000000002-20000011-1-100-1100
χ292222-122222-1222-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000002-1-1-1-10000000000
χ302222-122222-1222-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000-211110000000000
χ312222-122222-1222-1-1-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-1-122222-22-2-2-2-21111-1-1-1-111111111-2-2220000-1-1-1-1-1-1-1-1000000-211110000000000
χ322222-122222-1222-1-1-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2-22-2-2-2-21111-1-1-1-11111111122-2-20000111111110000002-1-1-1-10000000000
χ332222-12-2-222-1222-1-11111-122-2-1-1-1-2-22111111-1-122222-2-222-2-2-1-111-1-111-1-1-1-1111122-2-20000-1-1-1-11111000000-2-1-1110000000000
χ342222-12-2-222-1222-1-11111-122-2-1-1-1-2-22111111-1-12-2-2-2-2-2-222-2-2-1-111-1-111-1-1-1-11111-2-22200001111-1-1-1-1000000211-1-10000000000
χ352222-12-2-222-1222-1-11111-1-2-2-2-1-1-1-2-22111111-1-1222222-2-2-22211-1-1-1-1111111-1-1-1-1-2-2-2-20000-1-1-1-11111000000211-1-10000000000
χ362222-12-2-222-1222-1-11111-1-2-2-2-1-1-1-2-22111111-1-12-2-2-2-22-2-2-22211-1-1-1-1111111-1-1-1-1222200001111-1-1-1-1000000-2-1-1110000000000
χ3722-2-22200-22-2-22-22-2000022-20-22-200-20000002-222i2i−2i−2i002-2002-2002-20022-2-200002i−2i0000002i2i−2i−2i000000000002i−2i000000000000
χ3822-2-22200-22-2-22-22-2000022-20-22-200-20000002-22−2i−2i2i2i002-2002-2002-20022-2-20000−2i2i000000−2i−2i2i2i00000000000−2i2i000000000000
χ3922-2-22200-22-2-22-22-200002-220-22-200-20000002-222i2i−2i−2i00-2200-22002-200-2-2220000−2i2i0000002i2i−2i−2i00000000000−2i2i000000000000
χ4022-2-22200-22-2-22-22-200002-220-22-200-20000002-22−2i−2i2i2i00-2200-22002-200-2-22200002i−2i000000−2i−2i2i2i000000000002i−2i000000000000
χ4122-2-2-1200-221-22-2-1133−3−3-12-201-1100-23−333−3−3-1122i2i−2i−2i002-200-113−3-113−3-1-11133−3−32i−2i000000−i−iii−i3−i3i3i30000000−ii−i3i30000000000
χ4222-2-2-1200-221-22-2-1133−3−3-12-201-1100-23−333−3−3-112−2i−2i2i2i002-200-113−3-113−3-1-11133−3−3−2i2i000000ii−i−ii3i3−i3−i30000000i−ii3−i30000000000
χ4322-2-2-1200-221-22-2-1133−3−3-1-2201-1100-23−333−3−3-1122i2i−2i−2i00-22001-1−33-113−311-1-1−3−333−2i2i000000−i−iii−i3−i3i3i30000000i−ii3−i30000000000
χ4422-2-2-1200-221-22-2-1133−3−3-1-2201-1100-23−333−3−3-112−2i−2i2i2i00-22001-1−33-113−311-1-1−3−3332i−2i000000ii−i−ii3i3−i3−i30000000−ii−i3i30000000000
χ4522-2-2-1200-221-22-2-11−3−333-12-201-1100-2−33−3−333-1122i2i−2i−2i002-200-11−33-11−33-1-111−3−3332i−2i000000−i−iiii3i3−i3−i30000000−iii3−i30000000000
χ4622-2-2-1200-221-22-2-11−3−333-12-201-1100-2−33−3−333-112−2i−2i2i2i002-200-11−33-11−33-1-111−3−333−2i2i000000ii−i−i−i3−i3i3i30000000i−i−i3i30000000000
χ4722-2-2-1200-221-22-2-11−3−333-1-2201-1100-2−33−3−333-1122i2i−2i−2i00-22001-13−3-11−3311-1-133−3−3−2i2i000000−i−iiii3i3−i3−i30000000i−i−i3i30000000000
χ4822-2-2-1200-221-22-2-11−3−333-1-2201-1100-2−33−3−333-112−2i−2i2i2i00-22001-13−3-11−3311-1-133−3−32i−2i000000ii−i−i−i3−i3i3i30000000−iii3−i30000000000
χ492-2-22222-20022-2-2-2-22-22-220002-2-22-20002-22-20002−22−20000000000000000000000002−2−i2i2−i2i22−22−22−22−22i−2i2i−2i0000000−i2i2−i2i2000000
χ502-2-22222-20022-2-2-2-22-22-220002-2-22-20002-22-20002−22−20000000000000000000000002−2i2−i2i2−i22−22−22−22−2−2i2i−2i2i0000000i2−i2i2−i2000000
χ512-2-22222-20022-2-2-2-22-22-220002-2-22-20002-22-2000−22−22000000000000000000000000−22−i2i2−i2i2−22−22−22−22−2i2i−2i2i0000000−i2i2−i2i2000000
χ522-2-22222-20022-2-2-2-22-22-220002-2-22-20002-22-2000−22−22000000000000000000000000−22i2−i2i2−i2−22−22−22−222i−2i2i−2i0000000i2−i2i2−i2000000
χ532-2-2222-220022-2-2-2-2-22-2220002-2-2-22000-22-220002−22−2000000000000000000000000−22−i2i2i2−i22−22−2−22−222i−2i−2i2i0000000−i2i2i2−i2000000
χ542-2-2222-220022-2-2-2-2-22-2220002-2-2-22000-22-220002−22−2000000000000000000000000−22i2−i2−i2i22−22−2−22−22−2i2i2i−2i0000000i2−i2−i2i2000000
χ552-2-2222-220022-2-2-2-2-22-2220002-2-2-22000-22-22000−22−220000000000000000000000002−2−i2i2i2−i2−22−222−22−2−2i2i2i−2i0000000−i2i2i2−i2000000
χ562-2-2222-220022-2-2-2-2-22-2220002-2-2-22000-22-22000−22−220000000000000000000000002−2i2−i2−i2i2−22−222−22−22i−2i−2i2i0000000i2−i2−i2i2000000
χ5744444-244-4-44-2-2-2444444-200-4-2-2-2-2-22-4-4-2-2-2-2-4-42000002000000002222000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-2-2-244-4-4-4-4-2004-2-2-2222442222-4-4200000-20000000022-2-2000000000000000000000000000000000000000000000
χ594444-2444-4-4-2444-2-2-2-2-2-2-200-4-2-2-244-422-2-2-2-222-400000-4000000002222000000000000000000000000000000000000000000000
χ604444-24-4-4-4-4-2444-2-22222-2004-2-2-2-4-4-4-2-2222222-40000040000000022-2-2000000000000000000000000000000000000000000000
χ614444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-200004-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-21111-2-2-20000-4-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ634444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111-2-2222111122200000200000000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ644444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111-2-2222111122200000200000000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-22222144-411122-222-1-1-1-1-2-2-20000-42-2-222-2-22211-1-11111-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-411122-222-1-1-1-1-2-2-200004222-2-222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-222221004111222-2-2-1-1-1-122200000-200000000-1-1113-33-3-33-330000000000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-222221004111222-2-2-1-1-1-122200000-200000000-1-111-33-333-33-30000000000000000000000000000000000000
χ6944-4-444004-4-4-44-44-400004000-44-4004000000-44-400000000000000-4400000000000000000000000000000000000000000000000
χ7044-4-44-2004-4-42-224-40000-20002-2200-2000000-4420000000023−2300002-200000023−23−23230000000000000000000000000000000000000
χ7144-4-44-2004-4-42-224-40000-20002-2200-2000000-44200000000−232300002-2000000−232323−230000000000000000000000000000000000000
χ7244-4-44-200-44-42-224-40000-24-402-220020000004-4-2000000-22004-400-2200-2-22200000000000000000000000000000000000000000
χ7344-4-44-200-44-42-224-40000-2-4402-220020000004-4-20000002-200-4400-220022-2-200000000000000000000000000000000000000000
χ7444-4-4-24004-42-44-4-222323−23−23-20002-22004−23232323−23−232-2-4000000000000002-2−2323000000000000000000000000000000000000000000000
χ7544-4-4-24004-42-44-4-22−23−232323-20002-2200423−23−23−2323232-2-4000000000000002-223−23000000000000000000000000000000000000000000000
χ7644-4-4-2-2004-422-22-222323−23−231000-11-100-2−2323−3−3332-220000000023−230000-113−3-333-3−333−30000000000000000000000000000000000000
χ7744-4-4-2-2004-422-22-222323−23−231000-11-100-2−2323−3−3332-2200000000−23230000-113−33-3-333−3−330000000000000000000000000000000000000
χ7844-4-4-2-2004-422-22-22−23−2323231000-11-100-223−2333−3−32-220000000023−230000-11−333-3-33−333−30000000000000000000000000000000000000
χ7944-4-4-2-2004-422-22-22−23−2323231000-11-100-223−2333−3−32-2200000000−23230000-11−33-333-33−3−330000000000000000000000000000000000000
χ8044-4-4-2-200-4422-22-222323−23−2314-40-11-100223−23−3−333-22-2000000-2200-2223−231-1−3311-1-1−3−3330000000000000000000000000000000000000
χ8144-4-4-2-200-4422-22-222323−23−231-440-11-100223−23−3−333-22-20000002-2002-2−23231-1−33-1-11133−3−30000000000000000000000000000000000000
χ8244-4-4-2-200-4422-22-22−23−23232314-40-11-1002−232333−3−3-22-2000000-2200-22−23231-13−311-1-133−3−30000000000000000000000000000000000000
χ8344-4-4-2-200-4422-22-22−23−2323231-440-11-1002−232333−3−3-22-20000002-2002-223−231-13−3-1-111−3−3330000000000000000000000000000000000000
χ844-44-4440000-4-4-44-4400004000-4-44000000000000−2i22i22i2−2i2000000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ854-44-4440000-4-4-44-4400004000-4-440000000000002i2−2i2−2i22i20000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ864-44-4-2400002-4-442-223−23−2323-200022-20000023−23−2323000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2i6−i6−i6i6000000000000000000000
χ874-44-4-2400002-4-442-223−23−2323-200022-20000023−23−23230002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2−i6i6i6−i6000000000000000000000
χ884-44-4-2400002-4-442-2−232323−23-200022-200000−232323−23000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2−i6i6i6−i6000000000000000000000
χ894-44-4-2400002-4-442-2−232323−23-200022-200000−232323−230002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2i6−i6−i6i6000000000000000000000
χ904-4-444-24-4004-222-4-44-44-4-2000-222-22000-22-22000000000000000000000000000000000−2i22i2−2i22i20000000000000000000i2−i2i2−i2000000
χ914-4-444-24-4004-222-4-44-44-4-2000-222-22000-22-220000000000000000000000000000000002i2−2i22i2−2i20000000000000000000−i2i2−i2i2000000
χ924-4-444-2-44004-222-4-4-44-44-2000-2222-20002-22-2000000000000000000000000000000000−2i22i22i2−2i20000000000000000000i2−i2−i2i2000000
χ934-4-444-2-44004-222-4-4-44-44-2000-2222-20002-22-20000000000000000000000000000000002i2−2i2−2i22i20000000000000000000−i2i2i2−i2000000
χ944-4-44-244-400-24-4-422-22-22-2000-2224-4000-22-2200022−2222−2200000000000000000000000022−220000−22−22−22−22000000000000000000000
χ954-4-44-244-400-24-4-422-22-22-2000-2224-4000-22-22000−2222−2222000000000000000000000000−222200002−22−22−22−2000000000000000000000
χ964-4-44-24-4400-24-4-4222-22-2-2000-222-440002-22-200022−2222−22000000000000000000000000−22220000−22−222−22−2000000000000000000000
χ974-4-44-24-4400-24-4-4222-22-2-2000-222-440002-22-2000−2222−222200000000000000000000000022−2200002−22−2−22−22000000000000000000000
χ988-88-88-40000-844-4-880000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-40000444-44-443−43−43432000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-40000444-44-4−434343−432000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-48-800-4-44444-44-4420002-2-2-440002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-8800-4-444444-44-420002-2-24-4000-22-22000000000000000000000000000000000000000000000000000000000000000000

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