Finite Group Databasebeta

← Group #11883978

Character table — Group #11883978

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order1222334466666622344666121212121212121212121212121246666666612121212121212121212121212448888222448812121212242424242424242424461222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-11-11-1-1-1-1-1-1-1-11111-1-1-111-1-1
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
χ511111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-111111111-1-11-1-111-1-111-1-111-1-1-11-1-111-1
χ611111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1111-1-111-1-1-1-1111-111-1-11
χ711111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-111-1-11111-1-11-11-11-11
χ811111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-11-11-11-1
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-1-11-1-111111-1-1-1-11111-1-1-1-1-111
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1
χ1111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-1-1-1-111111111111-1-1-1-1
χ1211111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-11111
χ1311111111111111-1-11-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-11-1-11-111-1-1-1-11111-1-11-111-11-1
χ1411111111111111-1-11-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-111111-1-1-1-111-1-111-11-1-11-11
χ1511111111111111-1-11-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11111-1-111111111-1-1-1-1-11111-1-111-1-1-11-11-1-11
χ1611111111111111-1-11-1-1111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-111-11-1-11111-1-1-1-1111-11-111-1
χ17222222-2-22222220022-222222-2-2-2-2-2-2-2-2-2-2-2-200000000020000-2-22200000000002200000000000000000-2-220000
χ18222222-2-22222220022-222222-2-2-2-2-2-2-2-2-2-2-2-200000000020000-2-2220000000000-2-20000000000000000022-20000
χ19222222-2-2222222002-22222-2-222-2222222-2-2-2000000000-20000-2-2-2-2000000000022000000000000000002-2-20000
χ20222222-2-2222222002-22222-2-222-2222222-2-2-2000000000-20000-2-2-2-20000000000-2-200000000000000000-2220000
χ2122222-1222-1-12-1222-122-1-1-122-1-1-122-1-1-1-122-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022002020200000000-1-1-1-1000-1-100
χ2222222-1222-1-12-1222-122-1-1-122-1-1-122-1-1-1-122-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-200-20-20-20000000011110001100
χ2322222-1222-1-12-1222-1-2-2-1-1-1-2-211-1-2-2111122-1-222-1-1-1-1-1-1111-2-2-1-111111100002200-2020-200000000-1-1110001-100
χ2422222-1222-1-12-1222-1-2-2-1-1-1-2-211-1-2-2111122-1-222-1-1-1-1-1-1111-2-2-1-11111110000-2-20020-2020000000011-1-1000-1100
χ2522222-1222-1-12-12-2-2-122-1-1-122-1-1-122-1-1-1-122-1-2-2-2111111-111-2-2-1-1-1-1111100002200-20-20200000000-1-1-1-10001100
χ2622222-1222-1-12-12-2-2-122-1-1-122-1-1-122-1-1-1-122-1-2-2-2111111-111-2-2-1-1-1-111110000-2-2002020-2000000001111000-1-100
χ2722222-1222-1-12-12-2-2-1-2-2-1-1-1-2-211-1-2-2111122-12-2-21111111-1-122-1-111-1-1-1-10000220020-20-200000000-1-111000-1100
χ2822222-1222-1-12-12-2-2-1-2-2-1-1-1-2-211-1-2-2111122-12-2-21111111-1-122-1-111-1-1-1-10000-2-200-202020000000011-1-10001-100
χ292222-1222-122-12-122-122-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222000002020-1-1-1-1-1-1-1-100000000000
χ302222-1222-122-12-122-122-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-200000-20-201111111100000000000
χ312222-1222-122-12-122-1-2-2-1-1-111-2-22111111-1-12-2-1-122-1-1-1-1-2-2-211-1-1111111222200000-20-20-1-111-1-11100000000000
χ322222-1222-122-12-122-1-2-2-1-1-111-2-22111111-1-12-2-1-122-1-1-1-1-2-2-211-1-1111111-2-2-2-200000202011-1-111-1-100000000000
χ332222-1222-122-12-1-2-2-122-1-1-1-1-1222-1-1-1-1-1-1-1-12-211-2-211112-2-211-1-1-1-1111122-2-20000020-20-1-1-1-1111100000000000
χ342222-1222-122-12-1-2-2-122-1-1-1-1-1222-1-1-1-1-1-1-1-12-211-2-211112-2-211-1-1-1-11111-2-22200000-20201111-1-1-1-100000000000
χ352222-1222-122-12-1-2-2-1-2-2-1-1-111-2-22111111-1-12211-2-21111-222-1-1-1-111-1-1-1-122-2-200000-2020-1-11111-1-100000000000
χ362222-1222-122-12-1-2-2-1-2-2-1-1-111-2-22111111-1-12211-2-21111-222-1-1-1-111-1-1-1-1-2-2220000020-2011-1-1-1-11100000000000
χ372-2-2222-22-2-2-222-22-22002-2-20000-20000002-2202-22-222-2-2000002-20000002-22-20000000002-2002-20000000000000
χ382-2-2222-22-2-2-222-22-22002-2-20000-20000002-2202-22-222-2-2000002-2000000-22-22000000000-2200-220000000000000
χ392-2-2222-22-2-2-222-2-222002-2-20000-20000002-220-22-22-2-222000002-20000002-2-220000000002-200-220000000000000
χ402-2-2222-22-2-2-222-2-222002-2-20000-20000002-220-22-22-2-222000002-2000000-222-2000000000-22002-20000000000000
χ412-2-22-12-221-2-2-1212-2-100-1113−300-23−333−3−3-1120-112-2-1-1110003−3-113−333−3−32-22-2000000000-113−3-113−300000000000
χ422-2-22-12-221-2-2-1212-2-100-1113−300-23−333−3−3-1120-112-2-1-1110003−3-113−333−3−3-22-220000000001-1−331-1−3300000000000
χ432-2-22-12-221-2-2-1212-2-100-111−3300-2−33−3−333-1120-112-2-1-111000−33-11−33−3−3332-22-2000000000-11−33-11−3300000000000
χ442-2-22-12-221-2-2-1212-2-100-111−3300-2−33−3−333-1120-112-2-1-111000−33-11−33−3−333-22-220000000001-13−31-13−300000000000
χ452-2-22-12-221-2-2-121-22-100-1113−300-23−333−3−3-11201-1-2211-1-1000−33-113−3−3−3332-2-22000000000-113−31-1−3300000000000
χ462-2-22-12-221-2-2-121-22-100-1113−300-23−333−3−3-11201-1-2211-1-1000−33-113−3−3−333-222-20000000001-1−33-113−300000000000
χ472-2-22-12-221-2-2-121-22-100-111−3300-2−33−3−333-11201-1-2211-1-10003−3-11−3333−3−32-2-22000000000-11−331-13−300000000000
χ482-2-22-12-221-2-2-121-22-100-111−3300-2−33−3−333-11201-1-2211-1-10003−3-11−3333−3−3-222-20000000001-13−3-11−3300000000000
χ4944444-2-4-44-2-24-2400-24-4-2-2-244222-4-42222-4-42000000000-2000022-2-2000000000000000000000000000000000000
χ5044444-2-4-44-2-24-2400-2-44-2-2-2-4-4-2-2244-2-2-2-2-4-42000000000200002222000000000000000000000000000000000000
χ514444-24-4-4-244-24-200-24-4-2-2-2-2-2-4-4-422222222-40000000004000022-2-2000000000000000000000000000000000000
χ524444-24-4-4-244-24-200-2-44-2-2-22244-4-2-2-2-2-2-222-4000000000-400002222000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244144111-2-2-2-2-2-2-21111-2-2-24-2-2-2-21111-2-2-2-2-21111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2441-4-41112222-222-1-1-1-1-2-2-2-4-2-2-2-211112222211-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4144111-2-2-2-2-2-2-21111-2-2-2-42222-1-1-1-1-222221111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41-4-41112222-222-1-1-1-1-2-2-242222-1-1-1-12-2-2-2-211-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-20014-4111-2-222222-1-1-1-1222000003-33-3-20000-1-1113-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-20014-4111-2-222222-1-1-1-122200000-33-33-20000-1-111-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2001-4411122-2-22-2-21111222000003-33-320000-1-1-1-1-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2001-4411122-2-22-2-2111122200000-33-3320000-1-1-1-13-33-300000000000000000000000000000000
χ6144-4-4440044-4-4-4-400400-44-40000000000000000000000000000000000000000−2i22i2000000000000000−2i22i2000000000
χ6244-4-4440044-4-4-4-400400-44-400000000000000000000000000000000000000002i2−2i20000000000000002i2−2i2000000000
χ6344-4-44-2004-22-42-400-2002-220023−2300023−2323−2300000000000000000000000000000−2i22i2000000000000000i2−i2i6−i60000000
χ6444-4-44-2004-22-42-400-2002-220023−2300023−2323−23000000000000000000000000000002i2−2i2000000000000000−i2i2−i6i60000000
χ6544-4-44-2004-22-42-400-2002-2200−2323000−2323−232300000000000000000000000000000−2i22i2000000000000000i2−i2−i6i60000000
χ6644-4-44-2004-22-42-400-2002-2200−2323000−2323−2323000000000000000000000000000002i2−2i2000000000000000−i2i2i6−i60000000
χ674-44-44400-4-44-4-4400400-4-440000000000000000000000000000000000000000004-4000000000000000000000000
χ684-44-44400-4-44-4-4400400-4-44000000000000000000000000000000000000000000-44000000000000000000000000
χ694-4-44444-4-4-4-444-4004004-4-400004000000-44-400000000000000-4400000000000000000000000000000000000000
χ704-4-444-24-4-4224-2-400-200-2220000-2000000-442000000000023−23002-20023−23−232300000000000000000000000000000000
χ714-4-444-24-4-4224-2-400-200-2220000-2000000-4420000000000−2323002-200−232323−2300000000000000000000000000000000
χ724-4-444-2-44-4224-2-44-4-200-222000020000004-4-204-4-22-2-22200000-2200000000000000000000000000000000000000
χ734-4-444-2-44-4224-2-4-44-200-222000020000004-4-20-442-222-2-200000-2200000000000000000000000000000000000000
χ744-4-44-244-42-4-4-24200-200-22223−23004−2323−23−2323232-2-4000000000000002-223−23000000000000000000000000000000000000
χ754-4-44-244-42-4-4-24200-200-222−232300423−232323−23−232-2-4000000000000002-2−2323000000000000000000000000000000000000
χ764-4-44-2-24-4222-2-22001001-1-123−2300-2−232333−3−32-22000003-3-330−232300-11−333−3−3300000000000000000000000000000000
χ774-4-44-2-24-4222-2-22001001-1-123−2300-2−232333−3−32-2200000-333-3023−2300-11−33−333−300000000000000000000000000000000
χ784-4-44-2-24-4222-2-22001001-1-1−232300-223−23−3−3332-22000003-3-33023−2300-113−3−333−300000000000000000000000000000000
χ794-4-44-2-24-4222-2-22001001-1-1−232300-223−23−3−3332-2200000-333-30−232300-113−33−3−3300000000000000000000000000000000
χ804-4-44-2-2-44222-2-224-41001-1-123−2300223−23−3−333-22-20-22-2211-1-100023−231-1−33−3−33300000000000000000000000000000000
χ814-4-44-2-2-44222-2-224-41001-1-1−2323002−232333−3−3-22-20-22-2211-1-1000−23231-13−333−3−300000000000000000000000000000000
χ824-4-44-2-2-44222-2-22-441001-1-123−2300223−23−3−333-22-202-22-2-1-111000−23231-1−3333−3−300000000000000000000000000000000
χ834-4-44-2-2-44222-2-22-441001-1-1−2323002−232333−3−3-22-202-22-2-1-11100023−231-13−3−3−33300000000000000000000000000000000
χ8488-8-8-4800-48-84-8400-4004-4400000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4-4444400200-22-20043−43000−2323−2323000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4-4444400200-22-200−434300023−2323−23000000000000000000000000000000000000000000000000000000000
χ878-88-88-400-84-4-84800-40044-400000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-48004-884-8-400-40044-400000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-40044-444-400200-2-2200000006-6-66000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40044-444-400200-2-220000000-666-6000000000000000000000000000000000000000000000000000000000

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