Finite Group Databasebeta

← Group #11895847

Character table — Group #11895847

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order12223344666666344446661212121212121212121212121212412121212121212121212121212121212121212121222888844444668812122424242424242424444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1111-1111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ511111111111111111-1-111111111111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-1-111-1111-1-1-1-11111-1-1-1-1-111
χ611111111111111111-1-111111111111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ711111111111111111-1-111111111111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111111111111-1-1-1-1
χ811111111111111111-1-111111111111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-11111
χ9111111111111111-1-111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-111-11111-1-11111-1-1-1-111111111-11-111-1-1-1-111-1-111-1-11-1-11-11-1
χ10111111111111111-1-111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-111-11111-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1-111-1-1-1-111-111-11-11
χ11111111111111111-1-111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11-111-1-11111-1-1-1111-1-11
χ12111111111111111-1-111111-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1-11111-1-111-1-1111-1-1-111-1
χ13111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-11111-1-1-111-111-1
χ14111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-111-1-1111-1-11-1-11
χ15111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111111-11-1-1-1-11111-1-111-1-11-1-1-11-11
χ16111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111-1-1-1-111-1111-11-1
χ17222222-2-222222222-2002222222-2-2-22222-2-2-20000000-200-2-2-2-2000000000000002200000000000000000-22-20000
χ18222222-2-222222222-2002222222-2-2-22222-2-2-20000000-200-2-2-2-200000000000000-2-2000000000000000002-220000
χ19222222-2-22222222-2200222-2-2-2-2-222-2-2-2-2-2-2-20000000200-2-222000000000000002200000000000000000-2-220000
χ20222222-2-22222222-2200222-2-2-2-2-222-2-2-2-2-2-2-20000000200-2-22200000000000000-2-20000000000000000022-20000
χ2122222-1222-12-1-12-12222-1-1-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122220000200-1-120-1-1-1-1-1-100000000000
χ2222222-1222-12-1-12-12222-1-1-122-1-12-1-1-1-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-20011-2011111100000000000
χ2322222-1222-12-1-12-122-2-2-1-1-122-1-12-1-1-1-1-1-1-1-12-2-2-211112-2-2-1-1-1-11111111122-2-20000200-1-1-20-1-1111100000000000
χ2422222-1222-12-1-12-122-2-2-1-1-122-1-12-1-1-1-1-1-1-1-12-2-2-211112-2-2-1-1-1-111111111-2-2220000-200112011-1-1-1-100000000000
χ2522222-1222-12-1-12-1-2-222-1-1-1-2-2112111111-1-12-2-2-211-1-1-222-1-111-1-1-1-1111122220000-200-1-1-2011-1-11100000000000
χ2622222-1222-12-1-12-1-2-222-1-1-1-2-2112111111-1-12-2-2-211-1-1-222-1-111-1-1-1-11111-2-2-2-200002001120-1-111-1-100000000000
χ2722222-1222-12-1-12-1-2-2-2-2-1-1-1-2-2112111111-1-12222-1-111-2-2-2-1-1111111-1-1-1-122-2-20000-200-1-1201111-1-100000000000
χ2822222-1222-12-1-12-1-2-2-2-2-1-1-1-2-2112111111-1-12222-1-111-2-2-2-1-1111111-1-1-1-1-2-222000020011-20-1-1-1-11100000000000
χ292222-1222-12-122-1-12222-1-1-1-1-122-122-1-1-1-122-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022000220002000000-1-1-1-1000-1-100
χ302222-1222-12-122-1-12222-1-1-1-1-122-122-1-1-1-122-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000-2-2000-200000011110001100
χ312222-1222-12-122-1-122-2-2-1-1-1-1-122-122-1-1-1-122-1-211-2-2-2-2-111-1-1-1-111111111000022000-2-20002000000-1-1-1-10001100
χ322222-1222-12-122-1-122-2-2-1-1-1-1-122-122-1-1-1-122-1-211-2-2-2-2-111-1-1-1-1111111110000-2-200022000-20000001111000-1-100
χ332222-1222-12-122-1-1-2-222-1-1-111-2-2-1-2-2111122-1-211-2-2221-1-1-1-111-1-1-1-111110000220002-2000-2000000-1-111000-1100
χ342222-1222-12-122-1-1-2-222-1-1-111-2-2-1-2-2111122-1-211-2-2221-1-1-1-111-1-1-1-111110000-2-2000-22000200000011-1-10001-100
χ352222-1222-12-122-1-1-2-2-2-2-1-1-111-2-2-1-2-2111122-12-1-122-2-2111-1-1111111-1-1-1-1000022000-22000-2000000-1-1110001-100
χ362222-1222-12-122-1-1-2-2-2-2-1-1-111-2-2-1-2-2111122-12-1-122-2-2111-1-1111111-1-1-1-10000-2-20002-2000200000011-1-1000-1100
χ372-22-222-22-2-222-2-22002i−2i-22-20000-20000002-22000002i−2i02i−2i2-2002i2i−2i−2i00002-22i−2i00000002-200002i−2i0000000000000
χ382-22-222-22-2-222-2-22002i−2i-22-20000-20000002-22000002i−2i02i−2i2-2002i2i−2i−2i0000-22−2i2i0000000-220000−2i2i0000000000000
χ392-22-222-22-2-222-2-2200−2i2i-22-20000-20000002-2200000−2i2i0−2i2i2-200−2i−2i2i2i00002-2−2i2i00000002-20000−2i2i0000000000000
χ402-22-222-22-2-222-2-2200−2i2i-22-20000-20000002-2200000−2i2i0−2i2i2-200−2i−2i2i2i0000-222i−2i0000000-2200002i−2i0000000000000
χ412-22-22-1-22-212-11-2-1002i−2i1-11003−3-23−333−3−3-112000−i3i3−ii02i−2i-113−3−i−iii−i3−i3i3i32-22i−2i0000000-11003−3−ii−i3i300000000000
χ422-22-22-1-22-212-11-2-1002i−2i1-11003−3-23−333−3−3-112000−i3i3−ii02i−2i-113−3−i−iii−i3−i3i3i3-22−2i2i00000001-100−33i−ii3−i300000000000
χ432-22-22-1-22-212-11-2-1002i−2i1-1100−33-2−33−3−333-112000i3−i3−ii02i−2i-11−33−i−iiii3i3−i3−i32-22i−2i0000000-1100−33−iii3−i300000000000
χ442-22-22-1-22-212-11-2-1002i−2i1-1100−33-2−33−3−333-112000i3−i3−ii02i−2i-11−33−i−iiii3i3−i3−i3-22−2i2i00000001-1003−3i−i−i3i300000000000
χ452-22-22-1-22-212-11-2-100−2i2i1-11003−3-23−333−3−3-112000i3−i3i−i0−2i2i-113−3ii−i−ii3i3−i3−i32-2−2i2i0000000-11003−3i−ii3−i300000000000
χ462-22-22-1-22-212-11-2-100−2i2i1-11003−3-23−333−3−3-112000i3−i3i−i0−2i2i-113−3ii−i−ii3i3−i3−i3-222i−2i00000001-100−33−ii−i3i300000000000
χ472-22-22-1-22-212-11-2-100−2i2i1-1100−33-2−33−3−333-112000−i3i3i−i0−2i2i-11−33ii−i−i−i3−i3i3i32-2−2i2i0000000-1100−33i−i−i3i300000000000
χ482-22-22-1-22-212-11-2-100−2i2i1-1100−33-2−33−3−333-112000−i3i3i−i0−2i2i-11−33ii−i−i−i3−i3i3i3-222i−2i00000001-1003−3−iii3−i300000000000
χ4944444-2-4-44-24-2-24-24-400-2-2-244-2-2-422-2-2-2-222-40000000-40022220000000000000000000000000000000000000000
χ5044444-2-4-44-24-2-24-2-4400-2-2-2-4-422-4-2-2222222-4000000040022-2-20000000000000000000000000000000000000000
χ514444-24-4-4-24-244-2-24-400-2-2-2-2-2442-4-4-2-2-2-2-4-42000000020022220000000000000000000000000000000000000000
χ524444-24-4-4-24-244-2-2-4400-2-2-222-4-42442222-4-420000000-20022-2-20000000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-21111-2-2-24-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-21111-2-2-2-4222222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4441112222-222-1-1-1-1-2-2-2-42222-2-22-2-211-1-11111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4-4-41112222-222-1-1-1-1-2-2-24-2-2-2-22222211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-222211112220000000200-1-1-1-13-33-33-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-222211112220000000200-1-1-1-1-33-33-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-21-440011122222-2-2-1-1-1-12220000000-200-1-1113-33-3-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-21-440011122222-2-2-1-1-1-12220000000-200-1-111-33-333-33-300000000000000000000000000000000
χ6144-4-4440044-4-4-4-4400004-4-4000000000000000000000000000000000000000022−2200000000000000022−22000000000
χ6244-4-4440044-4-4-4-4400004-4-40000000000000000000000000000000000000000−2222000000000000000−2222000000000
χ6344-4-4-2400-242-4-42-20000-222−2i32i300000−2i32i3−2i32i30000000000000000000000000000022−22000000000000000−22i6−i60000000
χ6444-4-4-2400-242-4-42-20000-222−2i32i300000−2i32i3−2i32i300000000000000000000000000000−22220000000000000002−2−i6i60000000
χ6544-4-4-2400-242-4-42-20000-2222i3−2i3000002i3−2i32i3−2i30000000000000000000000000000022−22000000000000000−22−i6i60000000
χ6644-4-4-2400-242-4-42-20000-2222i3−2i3000002i3−2i32i3−2i300000000000000000000000000000−22220000000000000002−2i6−i60000000
χ674-44-4444-4-4-444-4-440000-44-400004000000-44-40000000000-44000000000000000000000000000000000000000000
χ684-44-44-24-4-424-22-4-200002-220023−234−23232323−23−232-2-400000000002-2−23230000000000000000000000000000000000000000
χ694-44-44-24-4-424-22-4-200002-2200−2323423−23−23−2323232-2-400000000002-223−230000000000000000000000000000000000000000
χ704-44-4-244-42-4-24-42-200002-220000-2000000-4420−2i32i300000002-2000000−2i32i32i3−2i300000000000000000000000000000000
χ714-44-4-244-42-4-24-42-200002-220000-2000000-44202i3−2i300000002-20000002i3−2i3−2i32i300000000000000000000000000000000
χ724-44-4-24-442-4-24-42-2004i−4i2-22000020000004-4-2000004i−4i0−2i2i-2200−2i−2i2i2i000000000000000000000000000000000000
χ734-44-4-24-442-4-24-42-200−4i4i2-22000020000004-4-200000−4i4i02i−2i-22002i2i−2i−2i000000000000000000000000000000000000
χ744-44-4-2-24-422-2-22210000-11-10023−23-2−2323−3−3332-220−2i32i30000000-113−3−3i3i3i−3ii3−i3−i3i300000000000000000000000000000000
χ754-44-4-2-24-422-2-22210000-11-10023−23-2−2323−3−3332-2202i3−2i30000000-113−33i−3i−3i3i−i3i3i3−i300000000000000000000000000000000
χ764-44-4-2-24-422-2-22210000-11-100−2323-223−2333−3−32-220−2i32i30000000-11−333i−3i−3i3ii3−i3−i3i300000000000000000000000000000000
χ774-44-4-2-24-422-2-22210000-11-100−2323-223−2333−3−32-2202i3−2i30000000-11−33−3i3i3i−3i−i3i3i3−i300000000000000000000000000000000
χ784-44-4-2-2-4422-2-2221004i−4i-11-10023−23223−23−3−333-22-2000−2i32i3−2i2i0−2i2i1-1−33ii−i−ii3i3−i3−i300000000000000000000000000000000
χ794-44-4-2-2-4422-2-2221004i−4i-11-100−23232−232333−3−3-22-20002i3−2i3−2i2i0−2i2i1-13−3ii−i−i−i3−i3i3i300000000000000000000000000000000
χ804-44-4-2-2-4422-2-222100−4i4i-11-10023−23223−23−3−333-22-20002i3−2i32i−2i02i−2i1-1−33−i−iii−i3−i3i3i300000000000000000000000000000000
χ814-44-4-2-2-4422-2-222100−4i4i-11-100−23232−232333−3−3-22-2000−2i32i32i−2i02i−2i1-13−3−i−iiii3i3−i3−i300000000000000000000000000000000
χ824-4-444400-4-4-4-44440000-4-440000000000000000000000000000000000000000004-4000000000000000000000000
χ834-4-444400-4-4-4-44440000-4-44000000000000000000000000000000000000000000-44000000000000000000000000
χ8488-8-88-4008-4-844-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4-44444200002-2-2−4i34i3000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4-44444200002-2-24i3−4i300000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ878-8-888-400-84-84-48-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-84-88-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004444-4-420000-2-2200000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4004444-4-420000-2-220000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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