Finite Group Databasebeta

← Group #11896095

Character table — Group #11896095

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121244121212121212242424242424242444444444121212121212121212124424881212121212122424242448861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1111-11111111111-1-1-1-11-1-11111-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-11-1-1-11-1-1-1-1111111-1-111-111-1-1-1-11-1-111-1-1-111-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1111111111111-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-1-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-11-1-1-11-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-11111
χ9111111111111111111-1-111111-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111-1-1-111111-1-1-1111-1-11-1-1-1-11-1-11-11-1
χ10111111111111111111-1-111111-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11-111111-1-1-111-1-1-11-11-111-1-1-1-1-111-111-11-11
χ11111111111111111111-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-11-1-1-111-1-11-11-11-1-111111-1-1-1111-1-11
χ12111111111111111111-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11111-1111-1-1-111-111111-1-1-111-1
χ13111111111111111111-1-11111-1111-1-111-1-1-1-1-1-1-1-111-11-1-1-11-1-1-1-1-1111-1-1-1-1-111-1111-1-1111-1-1-111-111-1
χ14111111111111111111-1-11111-1111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1111-111-111-1-1-111111-1-11-1-11
χ15111111111111111111-1-11111-1111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-11-1-11-1-1111-1-1-1-11-1-1-11-11
χ16111111111111111111-1-11111-1111-1-111-1-1-1-1-1-1-1-1-1-11-1111-11111-1111-1-1-1-11-1-11-1-1-111-1-1-111-1111-11-1
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000002200-2-2-2-22200000022000020000-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-200-22-2-222000000-2-20000-20000200002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22002-222-2-2000000-2-2000020000-200002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-2002222-2-2000000220000-2000020000-2000000
χ2122222-122-1-1222-1-1-1-1-122-12-12222222-1-122-1-1-1-1-1-1000200020000-1-1-1-1-1-1002202-10000-100-1-1000-1-100
χ2222222-122-1-1222-1-1-1-1-122-12-12222222-1-122-1-1-1-1-1-1000-2000-20000-1-1-1-1-1-100-2-20-210000100110001100
χ2322222-122-1-1222-1-1-1-1-122-12-12-2-2-2-2-2-2-1-122-1-1-1-1-1-100020002000011111100-2-202-10000-100-1-10001100
χ2422222-122-1-1222-1-1-1-1-122-12-12-2-2-2-2-2-2-1-122-1-1-1-1-1-1000-2000-2000011111100220-21000010011000-1-100
χ2522222-122-1-1222-1-1-1-1-1-2-2-12-122-2-2-222-1-1-2-2111111000200020000-1111-1-1002-20-2-10000-10011000-1100
χ2622222-122-1-1222-1-1-1-1-1-2-2-12-122-2-2-222-1-1-2-2111111000-2000-20000-1111-1-100-220210000100-1-10001-100
χ2722222-122-1-1222-1-1-1-1-1-2-2-12-12-2222-2-2-1-1-2-21111110002000200001-1-1-11100-220-2-10000-100110001-100
χ2822222-122-1-1222-1-1-1-1-1-2-2-12-12-2222-2-2-1-1-2-2111111000-2000-200001-1-1-111002-20210000100-1-1000-1100
χ292222-122222-1-1-12-1-1-1-1222-12-122-1-1-1-1-1-1-1-122-1-1-1-122202220-1-1-1-122-1-1-1-10000200-1-1-1-10-1-1000000000
χ302222-122222-1-1-12-1-1-1-1222-12-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-20-2-2-20111122-1-1-1-10000-2001111011000000000
χ312222-122222-1-1-12-1-1-1-1222-12-1-2-21111-1-1-1-122-1-1-1-122-2022-201111-2-211110000-200-1-1-1-1011000000000
χ322222-122222-1-1-12-1-1-1-1222-12-1-2-21111-1-1-1-122-1-1-1-1-2-220-2-220-1-1-1-1-2-21111000020011110-1-1000000000
χ332222-122222-1-1-12-1-1-1-1-2-22-12-12-211-1-1-1-111-2-211112220-2-220-1-1-1-12-211-1-10000-200-1-111011000000000
χ342222-122222-1-1-12-1-1-1-1-2-22-12-12-211-1-1-1-111-2-21111-2-2-2022-2011112-211-1-1000020011-1-10-1-1000000000
χ352222-122222-1-1-12-1-1-1-1-2-22-12-1-22-1-111-1-111-2-2111122-20-2-2-201111-22-1-1110000200-1-1110-1-1000000000
χ362222-122222-1-1-12-1-1-1-1-2-22-12-1-22-1-111-1-111-2-21111-2-2202220-1-1-1-1-22-1-1110000-20011-1-1011000000000
χ372-22-222-222-2-22-2-22-2-222i−2i-2-2220000002-22i−2i2i−2i2i2i−2i−2i2i−2i002-200000000000000000002i−2i2-2000000000000
χ382-22-222-222-2-22-2-22-2-222i−2i-2-2220000002-22i−2i2i−2i2i2i−2i−2i−2i2i00-220000000000000000000−2i2i-22000000000000
χ392-22-222-222-2-22-2-22-2-22−2i2i-2-2220000002-2−2i2i−2i2i−2i−2i2i2i2i−2i00-2200000000000000000002i−2i-22000000000000
χ402-22-222-222-2-22-2-22-2-22−2i2i-2-2220000002-2−2i2i−2i2i−2i−2i2i2i−2i2i002-20000000000000000000−2i2i2-2000000000000
χ412-22-2-12-222-21-11-2-111-12i−2i-212-1003−3−i3i3-11−ii2i−2i−i−iii2i−2i002-2003−33−3003−3−i3i30000000−ii-110−i3i3000000000
χ422-22-2-12-222-21-11-2-111-12i−2i-212-1003−3−i3i3-11−ii2i−2i−i−iii−2i2i00-2200−33−33003−3−i3i30000000i−i1-10i3−i3000000000
χ432-22-2-12-222-21-11-2-111-12i−2i-212-100−33i3−i3-11−ii2i−2i−i−iii2i−2i002-200−33−3300−33i3−i30000000−ii-110i3−i3000000000
χ442-22-2-12-222-21-11-2-111-12i−2i-212-100−33i3−i3-11−ii2i−2i−i−iii−2i2i00-22003−33−300−33i3−i30000000i−i1-10−i3i3000000000
χ452-22-2-12-222-21-11-2-111-1−2i2i-212-1003−3i3−i3-11i−i−2i2iii−i−i2i−2i00-2200−33−33003−3i3−i30000000−ii1-10−i3i3000000000
χ462-22-2-12-222-21-11-2-111-1−2i2i-212-1003−3i3−i3-11i−i−2i2iii−i−i−2i2i002-2003−33−3003−3i3−i30000000i−i-110i3−i3000000000
χ472-22-2-12-222-21-11-2-111-1−2i2i-212-100−33−i3i3-11i−i−2i2iii−i−i2i−2i00-22003−33−300−33−i3i30000000−ii1-10i3−i3000000000
χ482-22-2-12-222-21-11-2-111-1−2i2i-212-100−33−i3i3-11i−i−2i2iii−i−i−2i2i002-200−33−3300−33−i3i30000000i−i-110−i3i3000000000
χ4944444-2-4-4-2-2444-2-2-2-2-2002-42-400000022000000000004000-40000000000000000-20000200000000000
χ5044444-2-4-4-2-2444-2-2-2-2-2002-42-40000002200000000000-40004000000000000000020000-200000000000
χ514444-24-4-444-2-2-24-2-2-2-200-42-420000002200000000004000-4022-2-200000000000000000000000000000
χ524444-24-4-444-2-2-24-2-2-2-200-42-42000000220000000000-400040-2-22200000000000000000000000000000
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
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-422-2-2112222-1-1-1-1000000000000-22-1-11100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-44-2-222112222-1-1-1-10000000000002-211-1-100000000000000000000000
χ5744-4-44400-44-4-44-444-4-400000000000000000000000000000000000000004-4000000000000000000000
χ5844-4-44400-44-4-44-444-4-40000000000000000000000000000000000000000-44000000000000000000000
χ594-44-4444-44-4-44-4-44-4-440044-4-4000000-440000000000000000000000000000000000000000000000000
χ604-44-44-24-4-22-44-42-222-200-242-40000002-2000000000000000000000000000000000000000023−230000000
χ614-44-44-24-4-22-44-42-222-200-242-40000002-20000000000000000000000000000000000000000−23230000000
χ624-44-44-2-44-22-44-42-222-24i−4i2-4-24000000-224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ634-44-44-2-44-22-44-42-222-2−4i4i2-4-24000000-22−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ644-44-4-244-44-42-22-4-222-2004-2-420000002-2000000000000000023−23−232300000000000000000000000000000
χ654-44-4-244-44-42-22-4-222-2004-2-420000002-20000000000000000−232323−2300000000000000000000000000000
χ664-44-4-2-2-44-222-2221-1-114i−4i22-2-20023−23−2i32i31-1−2i2i−2i2iii−i−i00000000000000−33i3−i300000000000000000000000
χ674-44-4-2-2-44-222-2221-1-114i−4i22-2-200−23232i3−2i31-1−2i2i−2i2iii−i−i000000000000003−3−i3i300000000000000000000000
χ684-44-4-2-2-44-222-2221-1-11−4i4i22-2-20023−232i3−2i31-12i−2i2i−2i−i−iii00000000000000−33−i3i300000000000000000000000
χ694-44-4-2-2-44-222-2221-1-11−4i4i22-2-200−2323−2i32i31-12i−2i2i−2i−i−iii000000000000003−3i3−i300000000000000000000000
χ704-4-444400-4-44-4-444-44-4000000000000000000000000000000000000000000000000000000000−2i22i20000
χ714-4-444400-4-44-4-444-44-40000000000000000000000000000000000000000000000000000000002i2−2i20000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-88-4004-4-8-884-4-444000000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4800-8844-4-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-4004-444-4422-2-200000000000000000032−3232−3200000000000000000000000000000000000000000
χ7688-8-8-4-4004-444-4422-2-2000000000000000000−3232−323200000000000000000000000000000000000000000
χ778-88-8-4-48-8-444-4442-2-2200-4-444000000-220000000000000000000000000000000000000000000000000
χ788-8-888-400448-8-8-4-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-4800-8-8-4448-44-44000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-444-42-22-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ818-8-88-4-40044-444-42-22-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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