Finite Group Databasebeta

← Group #11884099

Character table — Group #11884099

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order1222334466666634444666121212121212121212121212121241212121212121212121212121212121212121212122288882224466881212242424242424242424461244
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
χ511111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11-111-1111-1-1-1-11111-1-1-1-1-111
χ611111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ711111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111111111111-1-1-1-1
χ811111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-11111-1-1-1-1-1-1-11111
χ9111111111111111-1-111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-111-1-1-11-11-11-1
χ10111111111111111-1-111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1-111-1-1-1-1111-11-11-11
χ11111111111111111-1-111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11-111-1-11111-1-11-111-1-11
χ12111111111111111-1-111111-1-1-1-11-1-1-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-111-1-111-11-1-111-1
χ13111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-11111-1-11-11-111-1
χ14111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-111-1-111-11-11-1-11
χ15111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-11111-1-1111111-111-1-1-1-11111-1-111-1-1-11-1-11-11
χ16111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111-1-1-1-1111-111-11-1
χ17222222-2-222222222-2002222222-2-2-22222-2-2-20-200000000-2-2-2-20000000000000022000000000000000002-2-20000
χ18222222-2-222222222-2002222222-2-2-22222-2-2-20-200000000-2-2-2-200000000000000-2-200000000000000000-2220000
χ19222222-2-22222222-2200222-2-2-2-2-222-2-2-2-2-2-2-20200000000-2-222000000000000002200000000000000000-2-220000
χ20222222-2-22222222-2200222-2-2-2-2-222-2-2-2-2-2-2-20200000000-2-22200000000000000-2-20000000000000000022-20000
χ2122222-1222-12-12-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000020-1-120-1-1-1-1-1-100000000000
χ2222222-1222-12-12-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000-2011-2011111100000000000
χ2322222-1222-12-12-1-122-2-2-1-1-122-1-12-1-1-1-1-1-1-1-12-2211-2-2-2-211-1-1-1-11111111122-2-20000020-1-1-20-1-1111100000000000
χ2422222-1222-12-12-1-122-2-2-1-1-122-1-12-1-1-1-1-1-1-1-12-2211-2-2-2-211-1-1-1-111111111-2-22200000-20112011-1-1-1-100000000000
χ2522222-1222-12-12-1-1-2-222-1-1-1-2-2112111111-1-12-2-2-1-1-2-22211-1-111-1-1-1-11111222200000-20-1-1-2011-1-11100000000000
χ2622222-1222-12-12-1-1-2-222-1-1-1-2-2112111111-1-12-2-2-1-1-2-22211-1-111-1-1-1-11111-2-2-2-200000201120-1-111-1-100000000000
χ2722222-1222-12-12-1-1-2-2-2-2-1-1-1-2-2112111111-1-122-21122-2-2-1-1-1-1111111-1-1-1-122-2-200000-20-1-1201111-1-100000000000
χ2822222-1222-12-12-1-1-2-2-2-2-1-1-1-2-2112111111-1-122-21122-2-2-1-1-1-1111111-1-1-1-1-2-222000002011-20-1-1-1-11100000000000
χ292222-1222-12-12-12-12222-1-1-1-1-122-122-1-1-1-122-12-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022002020002000000-1-1-1-1000-1-100
χ302222-1222-12-12-12-12222-1-1-1-1-122-122-1-1-1-122-12-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-20-2000-200000011110001100
χ312222-1222-12-12-12-122-2-2-1-1-1-1-122-122-1-1-1-122-1-2-1-2-21111-2-2-1-1-1-11111111100002200-20-20002000000-1-1-1-10001100
χ322222-1222-12-12-12-122-2-2-1-1-1-1-122-122-1-1-1-122-1-2-1-2-21111-2-2-1-1-1-1111111110000-2-200202000-20000001111000-1-100
χ332222-1222-12-12-12-1-2-222-1-1-111-2-2-1-2-2111122-1-212211-1-1-2-2-1-111-1-1-1-111110000220020-2000-2000000-1-111000-1100
χ342222-1222-12-12-12-1-2-222-1-1-111-2-2-1-2-2111122-1-212211-1-1-2-2-1-111-1-1-1-111110000-2-200-202000200000011-1-10001-100
χ352222-1222-12-12-12-1-2-2-2-2-1-1-111-2-2-1-2-2111122-121-2-2-1-11122-1-1111111-1-1-1-100002200-202000-2000000-1-1110001-100
χ362222-1222-12-12-12-1-2-2-2-2-1-1-111-2-2-1-2-2111122-121-2-2-1-11122-1-1111111-1-1-1-10000-2-20020-2000200000011-1-1000-1100
χ372-2-2222-22-2-2-222-22002-2-22-20000-20000002-22002-2002-2002-20022-2-200002-22-200000002-200002-20000000000000
χ382-2-2222-22-2-2-222-22002-2-22-20000-20000002-22002-2002-2002-20022-2-20000-22-220000000-220000-220000000000000
χ392-2-2222-22-2-2-222-2200-22-22-20000-20000002-2200-2200-22002-200-2-22200002-2-2200000002-20000-220000000000000
χ402-2-2222-22-2-2-222-2200-22-22-20000-20000002-2200-2200-22002-200-2-2220000-222-20000000-2200002-20000000000000
χ412-2-222-1-22-21-2-121-1002-21-11003−3-23−333−3−3-11200-11002-23−3-113−3-1-11133−3−32-22-20000000-11003−3-113−300000000000
χ422-2-222-1-22-21-2-121-1002-21-11003−3-23−333−3−3-11200-11002-23−3-113−3-1-11133−3−3-22-2200000001-100−331-1−3300000000000
χ432-2-222-1-22-21-2-121-1002-21-1100−33-2−33−3−333-11200-11002-2−33-11−33-1-111−3−3332-22-20000000-1100−33-11−3300000000000
χ442-2-222-1-22-21-2-121-1002-21-1100−33-2−33−3−333-11200-11002-2−33-11−33-1-111−3−333-22-2200000001-1003−31-13−300000000000
χ452-2-222-1-22-21-2-121-100-221-11003−3-23−333−3−3-112001-100-22−33-113−311-1-1−3−3332-2-220000000-11003−31-1−3300000000000
χ462-2-222-1-22-21-2-121-100-221-11003−3-23−333−3−3-112001-100-22−33-113−311-1-1−3−333-222-200000001-100−33-113−300000000000
χ472-2-222-1-22-21-2-121-100-221-1100−33-2−33−3−333-112001-100-223−3-11−3311-1-133−3−32-2-220000000-1100−331-13−300000000000
χ482-2-222-1-22-21-2-121-100-221-1100−33-2−33−3−333-112001-100-223−3-11−3311-1-133−3−3-222-200000001-1003−3-11−3300000000000
χ4944444-2-4-44-24-24-2-24-400-2-2-244-2-2-422-2-2-2-222-40-40000000022220000000000000000000000000000000000000000
χ5044444-2-4-44-24-24-2-2-4400-2-2-2-4-422-4-2-2222222-4040000000022-2-20000000000000000000000000000000000000000
χ514444-24-4-4-24-24-24-24-400-2-2-2-2-2442-4-4-2-2-2-2-4-42020000000022220000000000000000000000000000000000000000
χ524444-24-4-4-24-24-24-2-4400-2-2-222-4-42442222-4-420-20000000022-2-20000000000000000000000000000000000000000
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
χ544444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-21111-2-2-2-4-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4441112222-222-1-1-1-1-2-2-2-42-2-222-2-22211-1-11111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4-4-41112222-222-1-1-1-1-2-2-24222-2-222-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-222211112220200000000-1-1-1-13-33-33-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-222211112220200000000-1-1-1-1-33-33-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-21-440011122222-2-2-1-1-1-12220-200000000-1-1113-33-3-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-21-440011122222-2-2-1-1-1-12220-200000000-1-111-33-333-33-300000000000000000000000000000000
χ6144-4-4440044-4-4-4-4400004-4-40000000000000000000000000000000000000000004-4000000000000000000000000
χ6244-4-4440044-4-4-4-4400004-4-4000000000000000000000000000000000000000000-44000000000000000000000000
χ634-44-44400-4-44-4-4440000-4-440000000000000000000000000000000000000000−2i22i2000000000000000−2i22i2000000000
χ644-44-44400-4-44-4-4440000-4-4400000000000000000000000000000000000000002i2−2i20000000000000002i2−2i2000000000
χ654-44-4-24002-4-2-424-2000022-223−230000023−2323−2300000000000000000000000000000−2i22i2000000000000000i2−i2i6−i60000000
χ664-44-4-24002-4-2-424-2000022-223−230000023−2323−23000000000000000000000000000002i2−2i2000000000000000−i2i2−i6i60000000
χ674-44-4-24002-4-2-424-2000022-2−232300000−2323−232300000000000000000000000000000−2i22i2000000000000000i2−i2−i6i60000000
χ684-44-4-24002-4-2-424-2000022-2−232300000−2323−2323000000000000000000000000000002i2−2i2000000000000000−i2i2i6−i60000000
χ694-4-44444-4-4-4-444-440000-44-400004000000-44-40000000000-44000000000000000000000000000000000000000000
χ704-4-444-24-4-42-4-242-200002-220023−234−23232323−23−232-2-400000000002-2−23230000000000000000000000000000000000000000
χ714-4-444-24-4-42-4-242-200002-2200−2323423−23−23−2323232-2-400000000002-223−230000000000000000000000000000000000000000
χ724-4-44-244-42-424-2-4-200002-220000-2000000-442000023−2300002-200000023−23−232300000000000000000000000000000000
χ734-4-44-244-42-424-2-4-200002-220000-2000000-4420000−232300002-2000000−232323−2300000000000000000000000000000000
χ744-4-44-24-442-424-2-4-2004-42-22000020000004-4-2004-400-2200-2200-2-222000000000000000000000000000000000000
χ754-4-44-24-442-424-2-4-200-442-22000020000004-4-200-44002-200-220022-2-2000000000000000000000000000000000000
χ764-4-44-2-24-4222-2-2210000-11-10023−23-2−2323−3−3332-22000023−230000-113−3-333-3−333−300000000000000000000000000000000
χ774-4-44-2-24-4222-2-2210000-11-10023−23-2−2323−3−3332-220000−23230000-113−33-3-333−3−3300000000000000000000000000000000
χ784-4-44-2-24-4222-2-2210000-11-100−2323-223−2333−3−32-22000023−230000-11−333-3-33−333−300000000000000000000000000000000
χ794-4-44-2-24-4222-2-2210000-11-100−2323-223−2333−3−32-220000−23230000-11−33-333-33−3−3300000000000000000000000000000000
χ804-4-44-2-2-44222-2-221004-4-11-10023−23223−23−3−333-22-200-2200-2223−231-1−3311-1-1−3−33300000000000000000000000000000000
χ814-4-44-2-2-44222-2-221004-4-11-100−23232−232333−3−3-22-200-2200-22−23231-13−311-1-133−3−300000000000000000000000000000000
χ824-4-44-2-2-44222-2-22100-44-11-10023−23223−23−3−333-22-2002-2002-2−23231-1−33-1-11133−3−300000000000000000000000000000000
χ834-4-44-2-2-44222-2-22100-44-11-100−23232−232333−3−3-22-2002-2002-223−231-13−3-1-111−3−33300000000000000000000000000000000
χ8488-8-88-4008-4-84-84-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4800-484-84-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4-44444200002-2-200000006-6-66000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-4-44444200002-2-20000000-666-6000000000000000000000000000000000000000000000000000000000
χ888-88-88-400-8484-8-4-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-40044-444-420000-2-2243−4300000−2323−2323000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40044-444-420000-2-22−43430000023−2323−23000000000000000000000000000000000000000000000000000000000

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