Finite Group Databasebeta

← Group #11870378

Character table — Group #11870378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212224448121212121212121224242424242424242444446666881212121212121224668121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-111-1-1-1-1-111-1-111111111-1111-111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-111-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-111-1-1-11-1-1-1-111-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111-1-111111-1-111-1-111111-11-1-1-11-1-11111-1-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-111-1-11-11111-1-111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111-1-1-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1111-1-1111111-11-1-1-1-1-1-1-1-111-1-1-1-111
χ10111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-1111-111-1-1-1-11111-1-1-1-11111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-111-1-1-111-1-111-1-1-1-1-1-11-1-11-1-1-111-1-111-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-11-1-111-11-1-11111-1-1-1-111-1-111111-1
χ14111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11-1-111-1-1-1-11-11111111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111111-1-1111-1-111-1-1-1-1-1-1-11-111-1111-1-111-1-1-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000020000-2222200-2-20000000000-200000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-200002-2-22200-2-200000000002000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000020000-222-2-200220000000000-2000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-200002-2-2-2-200220000000000200000000-22000000
χ2122222-122-122-12-1-122-1-1-1-122-1222222-1-122-1-1-1-122-1-1-1-1-1-102200000-1-100-1-12-1-1-1-120-1-120-1-10000-1-100000000
χ2222222-122-122-12-1-122-1-1-1-122-12222-2-21122-1-1-1-1-2-211111102200000-1-100-1-1-2-1-111-2011-20-1-100001100000000
χ2322222-122-122-12-1-122-1-1-1-122-1-2-2-2-222-1-122-1-1-1-122-1-1-1-1-1-10-2-2000001100112-1-1-1-1-2011-201100001100000000
χ2422222-122-122-12-1-122-1-1-1-122-1-2-2-2-2-2-21122-1-1-1-1-2-21111110-2-200000110011-2-1-11120-1-120110000-1-100000000
χ2522222-122-122-12-1-1-2-2-1-1-1-122-122222-2-1-1-2-211-1-1-2-21111110-2-200000-1-100-1-1211-1-120-1-1-201100001100000000
χ2622222-122-122-12-1-1-2-2-1-1-1-122-12222-2211-2-211-1-122-1-1-1-1-1-10-2-200000-1-100-1-1-21111-201120110000-1-100000000
χ2722222-122-122-12-1-1-2-2-1-1-1-122-1-2-2-2-22-2-1-1-2-211-1-1-2-211111102200000110011211-1-1-201120-1-10000-1-100000000
χ2822222-122-122-12-1-1-2-2-1-1-1-122-1-2-2-2-2-2211-2-211-1-122-1-1-1-1-1-102200000110011-2111120-1-1-20-1-100001100000000
χ292222-12222-1-12-12-122-1-1-12-1-1200002222-1-122-1-1-1-122-1-1-1-1200222-1-1002200-1-1-1-1-102000-100-1-1-1-100000000-10
χ302222-12222-1-12-12-122-1-1-12-1-1200002222-1-122-1-1-1-122-1-1-1-1-200-2-2-21100-2-200-1-1-1-1-10-200010011110000000010
χ312222-12222-1-12-12-122-1-1-12-1-120000-2-2-2-2-1-122-1-111-2-21111200222-1-100-2-2001-1-1110-2000-100-1-1110000000010
χ322222-12222-1-12-12-122-1-1-12-1-120000-2-2-2-2-1-122-1-111-2-21111-200-2-2-2110022001-1-1110200010011-1-100000000-10
χ332222-12222-1-12-12-1-2-2-1-1-12-1-1200002-22211-2-2-1-111-2-21111200-2-22-1-100-2-200-111-1-102000-100111100000000-10
χ342222-12222-1-12-12-1-2-2-1-1-12-1-1200002-22211-2-2-1-111-2-21111-20022-211002200-111-1-10-2000100-1-1-1-10000000010
χ352222-12222-1-12-12-1-2-2-1-1-12-1-120000-22-2-211-2-2-1-1-1-122-1-1-1-1200-2-22-1-1002200111110-2000-10011-1-10000000010
χ362222-12222-1-12-12-1-2-2-1-1-12-1-120000-22-2-211-2-2-1-1-1-122-1-1-1-1-20022-21100-2-2001111102000100-1-11100000000-10
χ372-22-2222-2-22-22-2-2200-2-22-22-222-22-200000000-22000000000002i−2i0002-2002-200000000000002i−2i0000002i−2i0000
χ382-22-2222-2-22-22-2-2200-2-22-22-222-22-200000000-2200000000000−2i2i0002-2002-20000000000000−2i2i000000−2i2i0000
χ392-22-2222-2-22-22-2-2200-2-22-22-22-22-2200000000-22000000000002i−2i000-2200-2200000000000002i−2i000000−2i2i0000
χ402-22-2222-2-22-22-2-2200-2-22-22-22-22-2200000000-2200000000000−2i2i000-2200-220000000000000−2i2i0000002i−2i0000
χ412-22-222-22-22-22-2-222i−2i-2-222-22-22-2-2200002i−2i2i−2i2-20000000002i−2i000002-200-2202i−2i000000002i−2i00000000000000
χ422-22-222-22-22-22-2-222i−2i-2-222-22-2-222-200002i−2i2i−2i2-2000000000−2i2i00000-22002-202i−2i00000000−2i2i00000000000000
χ432-22-222-22-22-22-2-22−2i2i-2-222-22-22-2-220000−2i2i−2i2i2-2000000000−2i2i000002-200-220−2i2i00000000−2i2i00000000000000
χ442-22-222-22-22-22-2-22−2i2i-2-222-22-2-222-20000−2i2i−2i2i2-20000000002i−2i00000-22002-20−2i2i000000002i−2i00000000000000
χ452-22-22-1-2212-2-1-21-12i−2i11-1-1-2212-2-2200−i3i32i−2i−ii-11003−333−3−302i−2i00000-11001-10−ii−i3i300−i3i300−ii00003−300000000
χ462-22-22-1-2212-2-1-21-12i−2i11-1-1-2212-2-2200i3−i32i−2i−ii-1100−33−3−33302i−2i00000-11001-10−iii3−i300i3−i300−ii0000−3300000000
χ472-22-22-1-2212-2-1-21-12i−2i11-1-1-221-222-200−i3i32i−2i−ii-11003−333−3−30−2i2i000001-100-110−ii−i3i300i3−i300i−i0000−3300000000
χ482-22-22-1-2212-2-1-21-12i−2i11-1-1-221-222-200i3−i32i−2i−ii-1100−33−3−3330−2i2i000001-100-110−iii3−i300−i3i300i−i00003−300000000
χ492-22-22-1-2212-2-1-21-1−2i2i11-1-1-2212-2-2200−i3i3−2i2ii−i-1100−33−3−3330−2i2i00000-11001-10i−i−i3i300−i3i300i−i0000−3300000000
χ502-22-22-1-2212-2-1-21-1−2i2i11-1-1-2212-2-2200i3−i3−2i2ii−i-11003−333−3−30−2i2i00000-11001-10i−ii3−i300i3−i300i−i00003−300000000
χ512-22-22-1-2212-2-1-21-1−2i2i11-1-1-221-222-200−i3i3−2i2ii−i-1100−33−3−33302i−2i000001-100-110i−i−i3i300i3−i300−ii00003−300000000
χ522-22-22-1-2212-2-1-21-1−2i2i11-1-1-221-222-200i3−i3−2i2ii−i-11003−333−3−302i−2i000001-100-110i−ii3−i300−i3i300−ii0000−3300000000
χ5344444-2-4-4-244-24-2-200-2-2-22-4-4244-4-400000000220000000000000000-2-20022000000000000000000000000000
χ5444444-2-4-4-244-24-2-200-2-2-22-4-42-4-444000000002200000000000000002200-2-2000000000000000000000000000
χ554444-24-4-44-2-24-24-200-2-2-2-422-4000000000000220000000040000-4-2-2000000000000000020000000000000000
χ564444-24-4-44-2-24-24-200-2-2-2-422-40000000000002200000000-400004220000000000000000-20000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-422-2-2-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-4-2-22222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-4-4-4-444400-44-4000000000000000000000000000000000000−2i22i200000000000000000−2i22i20000000000
χ6244-4-44400-4-4-4-444400-44-40000000000000000000000000000000000002i2−2i2000000000000000002i2−2i20000000000
χ6344-4-4-2400-422-4-24-2002-220000000000000000006−6006−66−6000000−2i32i300−2i22i200000000000000000i2−i20000000000
χ6444-4-4-2400-422-4-24-2002-220000000000000000006−6006−66−60000002i3−2i3002i2−2i200000000000000000−i2i20000000000
χ6544-4-4-2400-422-4-24-2002-22000000000000000000−6600−66−66000000−2i32i3002i2−2i200000000000000000−i2i20000000000
χ6644-4-4-2400-422-4-24-2002-22000000000000000000−6600−66−660000002i3−2i300−2i22i200000000000000000i2−i20000000000
χ674-44-44-24-424-4-2-42-20022-224-4-24-44-4000000002-20000000000000000-2200-22000000000000000000000000000
χ684-44-44-24-424-4-2-42-20022-224-4-2-44-44000000002-200000000000000002-2002-2000000000000000000000000000
χ694-44-4-244-4-4-2242-4-20022-2-4-2240000000000002-2000000000004i−4i0000000000000000000000−2i2i000000000000
χ704-44-4-244-4-4-2242-4-20022-2-4-2240000000000002-200000000000−4i4i00000000000000000000002i−2i000000000000
χ714-44-4-24-44-4-2242-4-24i−4i22-242-2-400000000−2i2i4i−4i-2200000000000000000000000−2i2i000000000000000000000000
χ724-44-4-24-44-4-2242-4-2−4i4i22-242-2-4000000002i−2i−4i4i-22000000000000000000000002i−2i000000000000000000000000
χ734-44-4-2-2-442-22-22214i−4i-1-11-22-22000000−2i32i3−2i2i−2i2i1-10023−23−3−333000000000000000i−ii3−i30000000000000000000000
χ744-44-4-2-2-442-22-22214i−4i-1-11-22-220000002i3−2i3−2i2i−2i2i1-100−232333−3−3000000000000000i−i−i3i30000000000000000000000
χ754-44-4-2-2-442-22-2221−4i4i-1-11-22-22000000−2i32i32i−2i2i−2i1-100−232333−3−3000000000000000−iii3−i30000000000000000000000
χ764-44-4-2-2-442-22-2221−4i4i-1-11-22-220000002i3−2i32i−2i2i−2i1-10023−23−3−333000000000000000−ii−i3i30000000000000000000000
χ774-4-4444004-44-4-4-44004-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ784-4-4444004-44-4-4-44004-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-4004-8-848-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004444-4-4200-22-200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ8288-8-8-4-4004444-4-4200-22-2000000000000000000−2626006−66−600000000000000000000000000000000000000000
χ838-88-8-4-48-84-44-444200-2-224-44-4000000000000-220000000000000000000000000000000000000000000000000
χ848-8-888-400-4-884-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480084-4-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44-44442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-400-44-44442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000

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