Finite Group Databasebeta

← Group #11895746

Character table — Group #11895746

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order122233446666663444466612121212121212121212121212122666666661212121212121212121212121222888844444668812122424242424242424444121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1111-1111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-11-1-1-11-1-1-1-1-1-11111-1-1-111-1-1
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
χ511111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-11111-1-11111111111111-1-111-1-1-1-111-1-111-1-1-11-1-111-1
χ611111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-11111-1-111111111-1-1-1-1-1-1111-11-1-111-1-1-1-1111-111-1-11
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-111-1-1-11-111-1-11111-1-11-11-11-11
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-111-111-1-11111-1-111-1-111-11-11-11-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-11-111-1111-1-1-1-11111-1-1-1-1-111
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ11111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-111111111111-1-1-1-1
χ12111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-11111-1-1-1-1-1-1-11111
χ13111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11111-1-11-111-11-1
χ14111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111-1-111-11-1-11-11
χ15111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-11111-1-111-1-1-11-11-1-11
χ16111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1111-11-111-1
χ17222222-2-22222222002-2222-222-2-2222222-2-2-200000000000-200-2-2-2-2000000000022000000000000000002-2-20000
χ18222222-2-22222222002-2222-222-2-2222222-2-2-200000000000-200-2-2-2-20000000000-2-200000000000000000-2220000
χ19222222-2-2222222200-22222-2-2-222-2-2-2-2-2-2-2-2-200000000000200-2-22200000000002200000000000000000-2-220000
χ20222222-2-2222222200-22222-2-2-222-2-2-2-2-2-2-2-2-200000000000200-2-2220000000000-2-20000000000000000022-20000
χ2122222-1222-1-12-12-12222-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122220000020-1-120-1-1-1-1-1-100000000000
χ2222222-1222-1-12-12-12222-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-200000-2011-2011111100000000000
χ2322222-1222-1-12-12-122-2-2-1-1-121111-2-21111-1-12-2-2-2111111-1-1-222-1-111-1-1-1-1222200000-20-1-1-2011-1-11100000000000
χ2422222-1222-1-12-12-122-2-2-1-1-121111-2-21111-1-12-2-2-2111111-1-1-222-1-111-1-1-1-1-2-2-2-200000201120-1-111-1-100000000000
χ2522222-1222-1-12-12-1-2-222-1-1-12-1-1-1-122-1-1-1-1-1-12-2-2-2111111112-2-2-1-1-1-1111122-2-20000020-1-1-20-1-1111100000000000
χ2622222-1222-1-12-12-1-2-222-1-1-12-1-1-1-122-1-1-1-1-1-12-2-2-2111111112-2-2-1-1-1-11111-2-22200000-20112011-1-1-1-100000000000
χ2722222-1222-1-12-12-1-2-2-2-2-1-1-121111-2-21111-1-12222-1-1-1-1-1-111-2-2-2-1-111111122-2-200000-20-1-1201111-1-100000000000
χ2822222-1222-1-12-12-1-2-2-2-2-1-1-121111-2-21111-1-12222-1-1-1-1-1-111-2-2-2-1-1111111-2-222000002011-20-1-1-1-11100000000000
χ292222-1222-122-12-1-12222-1-1-1-12222-1-1-1-1-1-122-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1000022002020002000000-1-1-1-1000-1-100
χ302222-1222-122-12-1-12222-1-1-1-12222-1-1-1-1-1-122-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-10000-2-200-20-2000-200000011110001100
χ312222-1222-122-12-1-122-2-2-1-1-1-1-2-2-2-211111122-1-211-2-21111221-1-1-1-111-1-1-1-10000220020-2000-2000000-1-1110001-100
χ322222-1222-122-12-1-122-2-2-1-1-1-1-2-2-2-211111122-1-211-2-21111221-1-1-1-111-1-1-1-10000-2-200-202000200000011-1-1000-1100
χ332222-1222-122-12-1-1-2-222-1-1-1-12222-1-1-1-1-1-122-1-211-2-21111-2-2-111-1-1-1-1111100002200-20-20002000000-1-1-1-10001100
χ342222-1222-122-12-1-1-2-222-1-1-1-12222-1-1-1-1-1-122-1-211-2-21111-2-2-111-1-1-1-111110000-2-200202000-20000001111000-1-100
χ352222-1222-122-12-1-1-2-2-2-2-1-1-1-1-2-2-2-211111122-12-1-122-1-1-1-1-2-2111-1-111111100002200-202000-2000000-1-111000-1100
χ362222-1222-122-12-1-1-2-2-2-2-1-1-1-1-2-2-2-211111122-12-1-122-1-1-1-1-2-2111-1-11111110000-2-20020-2000200000011-1-10001-100
χ3722-2-222-2222-2-2-2-222i−2i002-2-2-200000000002-220000000002i−2i02i−2i2-2002i2i−2i−2i2-22i−2i00000002-200002i−2i0000000000000
χ3822-2-222-2222-2-2-2-222i−2i002-2-2-200000000002-220000000002i−2i02i−2i2-2002i2i−2i−2i-22−2i2i0000000-220000−2i2i0000000000000
χ3922-2-222-2222-2-2-2-22−2i2i002-2-2-200000000002-22000000000−2i2i0−2i2i2-200−2i−2i2i2i2-2−2i2i00000002-20000−2i2i0000000000000
χ4022-2-222-2222-2-2-2-22−2i2i002-2-2-200000000002-22000000000−2i2i0−2i2i2-200−2i−2i2i2i-222i−2i0000000-2200002i−2i0000000000000
χ4122-2-22-1-222-11-21-2-12i−2i00-111-23−33−30033−3−3-112000−i3i3−i3−i3i3i3−ii02i−2i-113−3−i−iii2-22i−2i0000000-11003−3−ii−i3i300000000000
χ4222-2-22-1-222-11-21-2-12i−2i00-111-23−33−30033−3−3-112000−i3i3−i3−i3i3i3−ii02i−2i-113−3−i−iii-22−2i2i00000001-100−33i−ii3−i300000000000
χ4322-2-22-1-222-11-21-2-12i−2i00-111-2−33−3300−3−333-112000i3−i3i3i3−i3−i3−ii02i−2i-11−33−i−iii2-22i−2i0000000-1100−33−iii3−i300000000000
χ4422-2-22-1-222-11-21-2-12i−2i00-111-2−33−3300−3−333-112000i3−i3i3i3−i3−i3−ii02i−2i-11−33−i−iii-22−2i2i00000001-1003−3i−i−i3i300000000000
χ4522-2-22-1-222-11-21-2-1−2i2i00-111-23−33−30033−3−3-112000i3−i3i3i3−i3−i3i−i0−2i2i-113−3ii−i−i2-2−2i2i0000000-11003−3i−ii3−i300000000000
χ4622-2-22-1-222-11-21-2-1−2i2i00-111-23−33−30033−3−3-112000i3−i3i3i3−i3−i3i−i0−2i2i-113−3ii−i−i-222i−2i00000001-100−33−ii−i3i300000000000
χ4722-2-22-1-222-11-21-2-1−2i2i00-111-2−33−3300−3−333-112000−i3i3−i3−i3i3i3i−i0−2i2i-11−33ii−i−i2-2−2i2i0000000-1100−33i−i−i3i300000000000
χ4822-2-22-1-222-11-21-2-1−2i2i00-111-2−33−3300−3−333-112000−i3i3−i3−i3i3i3i−i0−2i2i-11−33ii−i−i-222i−2i00000001-1003−3−iii3−i300000000000
χ4944444-2-4-44-2-24-24-2004-4-2-2-2-4-2-22244-2-2-2-222-400000000000-4002222000000000000000000000000000000000000
χ5044444-2-4-44-2-24-24-200-44-2-2-2-422-2-2-4-4222222-40000000000040022-2-2000000000000000000000000000000000000
χ514444-24-4-4-244-24-2-2004-4-2-2-2244-4-4-2-2-2-2-2-2-4-42000000000002002222000000000000000000000000000000000000
χ524444-24-4-4-244-24-2-200-44-2-2-22-4-444222222-4-4200000000000-20022-2-2000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-21111-2-2-24-2-2-2-21111-2-2-2-2-21111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144-4-4111-2222222-1-1-1-1-2-2-2-42222-1-1-1-1-2-22-2-211-1-1111100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-444111-2-2-2-2-2-2-21111-2-2-2-42222-1-1-1-122-2221111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4-4-4111-2222222-1-1-1-1-2-2-24-2-2-2-211112222211-1-1-1-1-1-100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21004-41112-2-222-2-21111222000003-33-300200-1-1-1-13-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21004-41112-2-222-2-2111122200000-33-3300200-1-1-1-1-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2100-44111222-2-222-1-1-1-1222000003-33-300-200-1-111-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2100-44111222-2-222-1-1-1-122200000-33-3300-200-1-1113-33-300000000000000000000000000000000
χ6144-4-4444-444-4-4-4-4400004-4-440000000000-44-400000000000000-4400000000000000000000000000000000000000
χ6244-4-44-24-44-22-42-4-20000-222423−23−2323002323−23−232-2-4000000000000002-2−2323000000000000000000000000000000000000
χ6344-4-44-24-44-22-42-4-20000-2224−232323−2300−23−2323232-2-4000000000000002-223−23000000000000000000000000000000000000
χ6444-4-4-244-4-24-42-42-20000-222-20000000000-4420−2i32i300−2i32i32i3−2i3000002-200000000000000000000000000000000000000
χ6544-4-4-244-4-24-42-42-20000-222-20000000000-44202i3−2i3002i3−2i3−2i32i3000002-200000000000000000000000000000000000000
χ6644-4-4-24-44-24-42-42-24i−4i00-222200000000004-4-20000000004i−4i0−2i2i-2200−2i−2i2i2i00000000000000000000000000000000
χ6744-4-4-24-44-24-42-42-2−4i4i00-222200000000004-4-2000000000−4i4i02i−2i-22002i2i−2i−2i00000000000000000000000000000000
χ6844-4-4-2-24-4-2-22222100001-1-1-223−23−232300−3−3332-220−2i32i300i3−i3−i3i300000-113−3−3i3i3i−3i00000000000000000000000000000000
χ6944-4-4-2-24-4-2-22222100001-1-1-223−23−232300−3−3332-2202i3−2i300−i3i3i3−i300000-113−33i−3i−3i3i00000000000000000000000000000000
χ7044-4-4-2-24-4-2-22222100001-1-1-2−232323−230033−3−32-220−2i32i300i3−i3−i3i300000-11−333i−3i−3i3i00000000000000000000000000000000
χ7144-4-4-2-24-4-2-22222100001-1-1-2−232323−230033−3−32-2202i3−2i300−i3i3i3−i300000-11−33−3i3i3i−3i00000000000000000000000000000000
χ7244-4-4-2-2-44-2-2222214i−4i001-1-1223−2323−2300−3−333-22-2000−2i32i3i3i3−i3−i3−2i2i0−2i2i1-1−33ii−i−i00000000000000000000000000000000
χ7344-4-4-2-2-44-2-2222214i−4i001-1-12−2323−23230033−3−3-22-20002i3−2i3−i3−i3i3i3−2i2i0−2i2i1-13−3ii−i−i00000000000000000000000000000000
χ7444-4-4-2-2-44-2-222221−4i4i001-1-1223−2323−2300−3−333-22-20002i3−2i3−i3−i3i3i32i−2i02i−2i1-1−33−i−iii00000000000000000000000000000000
χ7544-4-4-2-2-44-2-222221−4i4i001-1-12−2323−23230033−3−3-22-2000−2i32i3i3i3−i3−i32i−2i02i−2i1-13−3−i−iii00000000000000000000000000000000
χ764-44-44400-4-44-4-4440000-4-440000000000000000000000000000000000000000004-4000000000000000000000000
χ774-44-44400-4-44-4-4440000-4-44000000000000000000000000000000000000000000-44000000000000000000000000
χ784-4-444400-4-4-444-440000-44-4000000000000000000000000000000000000000022−2200000000000000022−22000000000
χ794-4-444400-4-4-444-440000-44-40000000000000000000000000000000000000000−2222000000000000000−2222000000000
χ804-4-44-24002-4-4-242-200002-220000023−2323−2323−230000000000000000000000000000022−22000000000000000−226−60000000
χ814-4-44-24002-4-4-242-200002-220000023−2323−2323−2300000000000000000000000000000−22220000000000000002−2−660000000
χ824-4-44-24002-4-4-242-200002-2200000−2323−2323−23230000000000000000000000000000022−22000000000000000−22−660000000
χ834-4-44-24002-4-4-242-200002-2200000−2323−2323−232300000000000000000000000000000−22220000000000000002−26−60000000
χ848-88-88-400-84-4-848-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-48004-884-8-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-40044-444-420000-2-2200000006-6-66000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-40044-444-420000-2-220000000-666-6000000000000000000000000000000000000000000000000000000000
χ888-8-888-400-8448-4-8-400004-4400000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-4-4420000-22-20000043−43−2323−2323000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400444-4-4420000-22-200000−434323−2323−23000000000000000000000000000000000000000000000000000000000

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