Finite Group Databasebeta

← Group #11889393

Character table — Group #11889393

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order1222334466666634444666121212121212121212121212121241212121212121212121212121212121212121212124488882244488121212122424242424242424244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-111-1-1
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
χ511111111111111111-1-111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-111111-1-1-1-11111-1-1-1-1-111
χ611111111111111111-1-111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1
χ711111111111111111-1-111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-111111111111-1-1-1-1
χ811111111111111111-1-111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-11111
χ9111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-111-1-111-1-11111-1-1-1-111111111-11-1-1-111-1-111-1-111-1-1-11-11-11-1
χ10111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-1111-1-111-1-1-1-1111-11-11-11
χ11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-111-1-11111-1-11-111-1-11
χ12111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1111-1-111-1-111-1-111-11-1-111-1
χ13111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-1-1-1-1-1111111-1-111-1-11-1-11-111-1-1-1-11111-1-11-11-111-1
χ14111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-111-1-111-11-11-1-11
χ15111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-1-1-1-1-11111-1-11111111-11-1-1-1-11111-1-111-1-1-11-1-11-11
χ16111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-111-11-1-11111-1-1-1-1111-111-11-1
χ17222222-2-222222222-200222-222-2-2-2-2-2-2-2-2-2-2-20000020000-2-222000000000000002200000000000000000-2-220000
χ18222222-2-222222222-200222-222-2-2-2-2-2-2-2-2-2-2-20000020000-2-22200000000000000-2-20000000000000000022-20000
χ19222222-2-22222222-2200222-2-2-222222222-2-2-200000-20000-2-2-2-20000000000000022000000000000000002-2-20000
χ20222222-2-22222222-2200222-2-2-222222222-2-2-200000-20000-2-2-2-200000000000000-2-200000000000000000-2220000
χ2122222-1222-12-12-1-12222-1-1-12-1-122-1-1-1-1-1-1-1-12222-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000220-1-1-1-1-1-1-1-100000000000
χ2222222-1222-12-12-1-12222-1-1-12-1-122-1-1-1-1-1-1-1-12222-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-201111111100000000000
χ2322222-1222-12-12-1-122-2-2-1-1-12-1-122-1-1-1-1-1-1-1-12-2-2-211211-2-2-1-1-1-11111111122-2-20000002-20-1-1-1-1111100000000000
χ2422222-1222-12-12-1-122-2-2-1-1-12-1-122-1-1-1-1-1-1-1-12-2-2-211211-2-2-1-1-1-111111111-2-222000000-2201111-1-1-1-100000000000
χ2522222-1222-12-12-1-1-2-222-1-1-1211-2-2111111-1-12-22211-2-1-1-2-2-1-111-1-1-1-111112222000000-2-20-1-111-1-11100000000000
χ2622222-1222-12-12-1-1-2-222-1-1-1211-2-2111111-1-12-22211-2-1-1-2-2-1-111-1-1-1-11111-2-2-2-200000022011-1-111-1-100000000000
χ2722222-1222-12-12-1-1-2-2-2-2-1-1-1211-2-2111111-1-122-2-2-1-1-21122-1-1111111-1-1-1-122-2-2000000-220-1-11111-1-100000000000
χ2822222-1222-12-12-1-1-2-2-2-2-1-1-1211-2-2111111-1-122-2-2-1-1-21122-1-1111111-1-1-1-1-2-2220000002-2011-1-1-1-11100000000000
χ292222-1222-12-12-12-12222-1-1-1-122-1-122-1-1-1-122-12-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022002200200000000-1-1-1-1000-1-100
χ302222-1222-12-12-12-12222-1-1-1-122-1-122-1-1-1-122-12-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-200-20000000011110001100
χ312222-1222-12-12-12-122-2-2-1-1-1-122-1-122-1-1-1-122-1-211-2-2-1-2-211-1-1-1-11111111100002200-2-200200000000-1-1-1-10001100
χ322222-1222-12-12-12-122-2-2-1-1-1-122-1-122-1-1-1-122-1-211-2-2-1-2-211-1-1-1-1111111110000-2-2002200-2000000001111000-1-100
χ332222-1222-12-12-12-1-2-222-1-1-1-1-2-211-2-2111122-1-2-1-1-2-212211-1-111-1-1-1-1111100002200-2200-200000000-1-111000-1100
χ342222-1222-12-12-12-1-2-222-1-1-1-1-2-211-2-2111122-1-2-1-1-2-212211-1-111-1-1-1-111110000-2-2002-20020000000011-1-10001-100
χ352222-1222-12-12-12-1-2-2-2-2-1-1-1-1-2-211-2-2111122-1211221-2-2-1-1-1-1111111-1-1-1-1000022002-200-200000000-1-1110001-100
χ362222-1222-12-12-12-1-2-2-2-2-1-1-1-1-2-211-2-2111122-1211221-2-2-1-1-1-1111111-1-1-1-10000-2-200-220020000000011-1-1000-1100
χ372-2-22222-22-2-2-2-222002-2-22-2200000000002-2-202-20002-2002-20022-2-200002i−2i2i−2i0000000002i−2i002i−2i0000000000000
χ382-2-22222-22-2-2-2-222002-2-22-2200000000002-2-202-20002-2002-20022-2-20000−2i2i−2i2i000000000−2i2i00−2i2i0000000000000
χ392-2-22222-22-2-2-2-22200-22-22-2200000000002-2-20-22000-22002-200-2-22200002i−2i−2i2i0000000002i−2i00−2i2i0000000000000
χ402-2-22222-22-2-2-2-22200-22-22-2200000000002-2-20-22000-22002-200-2-2220000−2i2i2i−2i000000000−2i2i002i−2i0000000000000
χ412-2-222-12-221-21-2-1-1002-21-1123−3003−333−3−3-11-202-23−30-1100-113−3-1-11133−3−32i−2i2i−2i000000000−ii−i3i3−ii−i3i300000000000
χ422-2-222-12-221-21-2-1-1002-21-1123−3003−333−3−3-11-202-23−30-1100-113−3-1-11133−3−3−2i2i−2i2i000000000i−ii3−i3i−ii3−i300000000000
χ432-2-222-12-221-21-2-1-1002-21-112−3300−33−3−333-11-202-2−330-1100-11−33-1-111−3−3332i−2i2i−2i000000000−iii3−i3−iii3−i300000000000
χ442-2-222-12-221-21-2-1-1002-21-112−3300−33−3−333-11-202-2−330-1100-11−33-1-111−3−333−2i2i−2i2i000000000i−i−i3i3i−i−i3i300000000000
χ452-2-222-12-221-21-2-1-100-221-1123−3003−333−3−3-11-20-22−3301-100-113−311-1-1−3−3332i−2i−2i2i000000000−ii−i3i3i−ii3−i300000000000
χ462-2-222-12-221-21-2-1-100-221-1123−3003−333−3−3-11-20-22−3301-100-113−311-1-1−3−333−2i2i2i−2i000000000i−ii3−i3−ii−i3i300000000000
χ472-2-222-12-221-21-2-1-100-221-112−3300−33−3−333-11-20-223−301-100-11−3311-1-133−3−32i−2i−2i2i000000000−iii3−i3i−i−i3i300000000000
χ482-2-222-12-221-21-2-1-100-221-112−3300−33−3−333-11-20-223−301-100-11−3311-1-133−3−3−2i2i2i−2i000000000i−i−i3i3−iii3−i300000000000
χ4944444-2-4-44-24-24-2-24-400-2-2-2-4-2-2-4-422222222-4000004000022-2-20000000000000000000000000000000000000000
χ5044444-2-4-44-24-24-2-2-4400-2-2-2-42244-2-2-2-2-2-222-400000-4000022220000000000000000000000000000000000000000
χ514444-24-4-4-24-24-24-24-400-2-2-224422-4-42222-4-4200000-2000022-2-20000000000000000000000000000000000000000
χ524444-24-4-4-24-24-24-2-4400-2-2-22-4-4-2-244-2-2-2-2-4-42000002000022220000000000000000000000000000000000000000
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
χ544444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-21111-2-2-2-42222-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-444111-2222222-1-1-1-1-2-2-2-4-2-2222-2-22211-1-11111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4-4-4111-2222222-1-1-1-1-2-2-2422-2-2222-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-214-4001112-2-22222-1-1-1-122200000-20000-1-1113-33-33-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-214-4001112-2-22222-1-1-1-122200000-20000-1-111-33-33-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-21-4400111222-2-2-2-211112220000020000-1-1-1-13-33-3-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-21-4400111222-2-2-2-211112220000020000-1-1-1-1-33-333-33-300000000000000000000000000000000
χ6144-4-44400-44-4-44-440000-4-44000000000000000000000000000000000000000022−2200000000000000022−22000000000
χ6244-4-44400-44-4-44-440000-4-440000000000000000000000000000000000000000−2222000000000000000−2222000000000
χ6344-4-4-2400242-4-2-4-2000022-200023−230023−2323−230000000000000000000000000000022−22000000000000000−226−60000000
χ6444-4-4-2400242-4-2-4-2000022-200023−230023−2323−2300000000000000000000000000000−22220000000000000002−2−660000000
χ6544-4-4-2400242-4-2-4-2000022-2000−232300−2323−23230000000000000000000000000000022−22000000000000000−22−660000000
χ6644-4-4-2400242-4-2-4-2000022-2000−232300−2323−232300000000000000000000000000000−22220000000000000002−26−60000000
χ674-44-44400-4-444-4-4400004-4-40000000000000000000000000000000000000000004-4000000000000000000000000
χ684-44-44400-4-444-4-4400004-4-4000000000000000000000000000000000000000000-44000000000000000000000000
χ694-4-4444-444-4-4-4-4440000-44-4-40000000000-4440000000000-44000000000000000000000000000000000000000000
χ704-4-444-2-4442-42-4-2-200002-22-423−2300−2323−23−2323232-2400000000002-223−230000000000000000000000000000000000000000
χ714-4-444-2-4442-42-4-2-200002-22-4−23230023−232323−23−232-2400000000002-2−23230000000000000000000000000000000000000000
χ724-4-44-244-4-2-42-424-2004-42-22-200000000004-420-220004-400-2200-2-222000000000000000000000000000000000000
χ734-4-44-244-4-2-42-424-200-442-22-200000000004-4202-2000-4400-220022-2-2000000000000000000000000000000000000
χ744-4-44-24-44-2-42-424-200002-2220000000000-44-20000000023−232-200000023−23−232300000000000000000000000000000000
χ754-4-44-24-44-2-42-424-200002-2220000000000-44-200000000−23232-2000000−232323−2300000000000000000000000000000000
χ764-4-44-2-24-4-22222-21004-4-11-1-223−230023−23−3−333-2220-2223−230-22001-1−3311-1-1−3−33300000000000000000000000000000000
χ774-4-44-2-24-4-22222-21004-4-11-1-2−232300−232333−3−3-2220-22−23230-22001-13−311-1-133−3−300000000000000000000000000000000
χ784-4-44-2-24-4-22222-2100-44-11-1-223−230023−23−3−333-22202-2−232302-2001-1−33-1-11133−3−300000000000000000000000000000000
χ794-4-44-2-24-4-22222-2100-44-11-1-2−232300−232333−3−3-22202-223−2302-2001-13−3-1-111−3−33300000000000000000000000000000000
χ804-4-44-2-2-44-22222-210000-11-1223−2300−232333−3−32-2-20000000023−23-11−33-333-3−333−300000000000000000000000000000000
χ814-4-44-2-2-44-22222-210000-11-1223−2300−232333−3−32-2-200000000−2323-11−333-3-333−3−3300000000000000000000000000000000
χ824-4-44-2-2-44-22222-210000-11-12−23230023−23−3−3332-2-20000000023−23-113−33-3-33−333−300000000000000000000000000000000
χ834-4-44-2-2-44-22222-210000-11-12−23230023−23−3−3332-2-200000000−2323-113−3-333-33−3−3300000000000000000000000000000000
χ8488-8-88-400-8-4-8484-4000044-400000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-4004-444-4420000-2-2200043−4300−2323−2323000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-444-4420000-2-22000−43430023−2323−23000000000000000000000000000000000000000000000000000000000
χ878-88-88-400-848-4-84-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-48004-8-484-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-40044-4-444200002-2-200000006-6-66000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40044-4-444200002-2-20000000-666-6000000000000000000000000000000000000000000000000000000000

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