Finite Group Databasebeta

← Group #11889471

Character table — Group #11889471

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121244121212121212242424242424242424444444121212121212121212122244688121212121224242424488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1111-11-1-1-1-11-1-111-1-1-111-1-1
χ31111111111111111111111111111111111111111-11111-1111111111111-1-1-1-1-11-11111-111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-111111-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1-1-1-1-11111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-11-111-1-1-1-1-1111-111-1-1111-1-1-111-111-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-1-11111111111-111-1-111-111-1-1-1-1111-1-1-1-11-1-1-11-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-1111-1-11111-1-1-111111-1-11-1-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-111-11111111-111-1-1-1-11-1-1-11-1-111-1-1-111-1111-11-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111111-1-11111-11-1-111111-11-1-111-1-11-1-1-1-11-1-11-11-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-11-1-111-1-11-111-1-1-111111-1-1-1111-1-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-11111-1-1-11111-11-1-111-1-1-11-1-1111-1-1-1-1-111-111-11-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-11-111-1-111-111111-1-1-111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000002002-2-200-2-22200000022002000000-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000200-22-20022-2-2000000-2-2002000000-200002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-2002-2200-2-222000000-2-200-2000000200002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-200-2220022-2-20000002200-200000020000-2000000
χ2122222-122-12-122-1-1-1-1-122-122-1222222-1-122-1-1-1-1-1-1200002000000-1-1-1-1-1-10022-1020000-100-1-1000-1-100
χ2222222-122-12-122-1-1-1-1-122-122-1222222-1-122-1-1-1-1-1-1-20000-2000000-1-1-1-1-1-100-2-210-20000100110001100
χ2322222-122-12-122-1-1-1-1-122-122-1-2-2-2-2-2-2-1-122-1-1-1-1-1-120000200000011111100-2-2-1020000-100-1-10001100
χ2422222-122-12-122-1-1-1-1-122-122-1-2-2-2-2-2-2-1-122-1-1-1-1-1-1-20000-2000000111111002210-2000010011000-1-100
χ2522222-122-12-122-1-1-1-1-1-2-2-122-12-222-2-2-1-1-2-2111111200002000000-11-1-11100-22-10-20000-100110001-100
χ2622222-122-12-122-1-1-1-1-1-2-2-122-12-222-2-2-1-1-2-2111111-20000-2000000-11-1-111002-21020000100-1-1000-1100
χ2722222-122-12-122-1-1-1-1-1-2-2-122-1-22-2-222-1-1-2-21111112000020000001-111-1-1002-2-10-20000-10011000-1100
χ2822222-122-12-122-1-1-1-1-1-2-2-122-1-22-2-222-1-1-2-2111111-20000-20000001-111-1-100-221020000100-1-10001-100
χ292222-12222-12-1-12-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1-102222022-1-1-1-122-1-1-1-10000020-1-1-1-10-1-1000000000
χ302222-12222-12-1-12-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1-10-2-2-2-20-2-2111122-1-1-1-100000-201111011000000000
χ312222-12222-12-1-12-1-1-1-1222-1-12-2-21111-1-1-1-122-1-1-1-1022-2-20221111-2-2111100000-20-1-1-1-1011000000000
χ322222-12222-12-1-12-1-1-1-1222-1-12-2-21111-1-1-1-122-1-1-1-10-2-2220-2-2-1-1-1-1-2-21111000002011110-1-1000000000
χ332222-12222-12-1-12-1-1-1-1-2-22-1-122-2-1-111-1-111-2-21111022-2-20-2-211112-2-1-1110000020-1-1110-1-1000000000
χ342222-12222-12-1-12-1-1-1-1-2-22-1-122-2-1-111-1-111-2-211110-2-222022-1-1-1-12-2-1-11100000-2011-1-1011000000000
χ352222-12222-12-1-12-1-1-1-1-2-22-1-12-2211-1-1-1-111-2-21111022220-2-2-1-1-1-1-2211-1-100000-20-1-111011000000000
χ362222-12222-12-1-12-1-1-1-1-2-22-1-12-2211-1-1-1-111-2-211110-2-2-2-20221111-2211-1-1000002011-1-10-1-1000000000
χ372-2-22222-2-2-2-22-222-2-222i−2i2-22-20000002-22i−2i2i−2i2i2i−2i−2i02i−2i0002-2000000000000000002i−2i2-2000000000000
χ382-2-22222-2-2-2-22-222-2-222i−2i2-22-20000002-22i−2i2i−2i2i2i−2i−2i0−2i2i000-2200000000000000000−2i2i-22000000000000
χ392-2-22222-2-2-2-22-222-2-22−2i2i2-22-20000002-2−2i2i−2i2i−2i−2i2i2i02i−2i000-22000000000000000002i−2i-22000000000000
χ402-2-22222-2-2-2-22-222-2-22−2i2i2-22-20000002-2−2i2i−2i2i−2i−2i2i2i0−2i2i0002-200000000000000000−2i2i2-2000000000000
χ412-2-22-122-2-21-2-112-111-12i−2i21-1-2003−3−i3i3-11−ii2i−2i−i−iii02i−2i0002-23−33−3003−3−i3i30000000−ii-110−i3i3000000000
χ422-2-22-122-2-21-2-112-111-12i−2i21-1-2003−3−i3i3-11−ii2i−2i−i−iii0−2i2i000-22−33−33003−3−i3i30000000i−i1-10i3−i3000000000
χ432-2-22-122-2-21-2-112-111-12i−2i21-1-200−33i3−i3-11−ii2i−2i−i−iii02i−2i0002-2−33−3300−33i3−i30000000−ii-110i3−i3000000000
χ442-2-22-122-2-21-2-112-111-12i−2i21-1-200−33i3−i3-11−ii2i−2i−i−iii0−2i2i000-223−33−300−33i3−i30000000i−i1-10−i3i3000000000
χ452-2-22-122-2-21-2-112-111-1−2i2i21-1-2003−3i3−i3-11i−i−2i2iii−i−i02i−2i000-22−33−33003−3i3−i30000000−ii1-10−i3i3000000000
χ462-2-22-122-2-21-2-112-111-1−2i2i21-1-2003−3i3−i3-11i−i−2i2iii−i−i0−2i2i0002-23−33−3003−3i3−i30000000i−i-110i3−i3000000000
χ472-2-22-122-2-21-2-112-111-1−2i2i21-1-200−33−i3i3-11i−i−2i2iii−i−i02i−2i000-223−33−300−33−i3i30000000−ii1-10i3−i3000000000
χ482-2-22-122-2-21-2-112-111-1−2i2i21-1-200−33−i3i3-11i−i−2i2iii−i−i0−2i2i0002-2−33−3300−33−i3i30000000i−i-110−i3i3000000000
χ4944444-2-4-4-24-244-2-2-2-2-2002-4-42000000220000000040000-40000000000000000-2000000200000000000
χ5044444-2-4-4-24-244-2-2-2-2-2002-4-420000002200000000-40000400000000000000002000000-200000000000
χ514444-24-4-44-24-2-24-2-2-2-200-422-400000022000000000004-400022-2-200000000000000000000000000000
χ524444-24-4-44-24-2-24-2-2-2-200-422-40000002200000000000-44000-2-22200000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2211-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-2-1-11100000000000000000000000
χ5744-4-44400-4-44-44-444-4-400000000000000000000000000000000000000004-4000000000000000000000
χ5844-4-44400-4-44-44-444-4-40000000000000000000000000000000000000000-44000000000000000000000
χ594-44-4440044-4-4-4-44-44-400000000000000000000000000000000000000000000000000000000022−220000
χ604-44-4440044-4-4-4-44-44-4000000000000000000000000000000000000000000000000000000000−22220000
χ614-4-4444-44-4-4-44-444-4-4400-44-44000000-440000000000000000000000000000000000000000000000000
χ624-4-444-24-42-424-4-2-222-24i−4i-2-442000000-224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ634-4-444-24-42-424-4-2-222-2−4i4i-2-442000000-22−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ644-4-444-2-442-424-4-2-222-20024-4-20000002-20000000000000000000000000000000000000000−2i32i30000000
χ654-4-444-2-442-424-4-2-222-20024-4-20000002-200000000000000000000000000000000000000002i3−2i30000000
χ664-4-44-24-44-42-4-224-222-200-4-2240000002-2000000000000000023−23−232300000000000000000000000000000
χ674-4-44-24-44-42-4-224-222-200-4-2240000002-20000000000000000−232323−2300000000000000000000000000000
χ684-4-44-2-24-4222-22-21-1-114i−4i-22-220023−23−2i32i31-1−2i2i−2i2iii−i−i00000000000000−33i3−i300000000000000000000000
χ694-4-44-2-24-4222-22-21-1-114i−4i-22-2200−23232i3−2i31-1−2i2i−2i2iii−i−i000000000000003−3−i3i300000000000000000000000
χ704-4-44-2-24-4222-22-21-1-11−4i4i-22-220023−232i3−2i31-12i−2i2i−2i−i−iii00000000000000−33−i3i300000000000000000000000
χ714-4-44-2-24-4222-22-21-1-11−4i4i-22-2200−2323−2i32i31-12i−2i2i−2i−i−iii000000000000003−3i3−i300000000000000000000000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-88-4004-8-4-884-4-444000000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4800-8484-4-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-40044-44-4422-2-200000000000000000032−3232−3200000000000000000000000000000000000000000
χ7688-8-8-4-40044-44-4422-2-2000000000000000000−3232−323200000000000000000000000000000000000000000
χ778-88-88-400-484-8-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-48008-4-844-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-4-444442-22-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ808-88-8-4-400-4-444442-22-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ818-8-88-4-4-88444-44-42-2-22004-44-4000000-220000000000000000000000000000000000000000000000000

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