Finite Group Databasebeta

← Group #11884601

Character table — Group #11884601

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order12223344666666223666881212121226666121224242424242424242444121212126666664444446881212121212242424242448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-111111111-1-11-11-111-1-1-1-11111-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-111-111-1-1111111-1-1-11-11-1-11111-1-1-1-111-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-111-11-1-111111-1-1-1-11-1-1-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-1-1-1111-11-1-1-111-1-111-11111-11-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-111-1-1-11-1111-1-111-1-1-111111-1-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-111-1-1-1-1-111111-1-1-1-1111
χ911111111111111-1-11111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-1
χ1011111111111111-1-11111111111-1-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-111-1-1-111
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-111-111-1-11-11
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-11111-1
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-111-1
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-111-1-111-1-11-11-111-1-1-1-111-1-1-1111-11
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-111-11-11-1-11111-1-1-1-1-111-111
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-111111111111-1-1-1-1-1
χ17222222-2-222222200222200-2-2-2-200000-2-20000000022-2-2-2-2-2-2000000220000200200000000-20000000
χ18222222-2-222222200222200-2-2-2-200000-2-2000000002-22-222-2-2000000-2-20000200-20000000020000000
χ19222222-2-222222200222200-2-2-2-200000-2-200000000-22-22-2-222000000-2-20000-20020000000020000000
χ20222222-2-222222200222200-2-2-2-200000-2-200000000-2-2222222000000220000-200-200000000-20000000
χ2122222-122-12-122-122-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1200200-1-12-1-1-1-1-1002020-120000-1-1-1-10000000-100
χ2222222-122-12-122-122-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-200-200112-1-1-1-1-100-20-201-2000011110000000100
χ2322222-122-12-122-122-1-1-1-1-2-22-1-12-222-1-1-1-111-2-21111200200-1-1-21-1-11100-2020-1-20000-1-1110000000100
χ2422222-122-12-122-122-1-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-200-20011-21-1-1110020-2012000011-1-10000000-100
χ2522222-122-12-122-1-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1200200-1-1-21111100-20-20-12000011-1-10000000100
χ2622222-122-12-122-1-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-200-20011-2111110020201-20000-1-1110000000-100
χ2722222-122-12-122-1-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-21111200200-1-12-111-1-10020-20-1-2000011110000000-100
χ2822222-122-12-122-1-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-21111-200-200112-111-1-100-2020120000-1-1-1-10000000100
χ292222-12222-12-1-1222-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10220-1-100-12-1-1-1-1000202002-1-1-10000-1-1000000-10
χ302222-12222-12-1-1222-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10-2-201100-12-1-1-1-1000-20-200-211100001100000010
χ312222-12222-12-1-1222-1-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110220-1-1001-2-1-11100020-200-2-1-1-100001100000010
χ322222-12222-12-1-1222-1-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110-2-2011001-2-1-111000-2020021110000-1-1000000-10
χ332222-12222-12-1-12-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10220-1-1001-21111000-20-2002-1110000-1-100000010
χ342222-12222-12-1-12-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10-2-2011001-2111100020200-21-1-1000011000000-10
χ352222-12222-12-1-12-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-21111110220-1-100-1211-1-1000-20200-2-111000011000000-10
χ362222-12222-12-1-12-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-21111110-2-201100-1211-1-100020-20021-1-10000-1-100000010
χ372-2-2222-22-2-2-22-222-22-2-2200-22-2202-22-2-220000000000000000002-20000000000000000000002-22-2000
χ382-2-2222-22-2-2-22-222-22-2-2200-22-2202-22-2-220000000000000000002-2000000000000000000000-22-22000
χ392-2-2222-22-2-2-22-22-222-2-2200-22-220-22-22-22000000000000000000-220000000000000000000002-2-22000
χ402-2-2222-22-2-2-22-22-222-2-2200-22-220-22-22-22000000000000000000-22000000000000000000000-222-2000
χ4144444-2-4-4-24-244-200-2-2-2-200-422-4000002200000000400-40022000000000000-20000000000000000000
χ4244444-2-4-4-24-244-200-2-2-2-200-422-4000002200000000-400400-2-200000000000020000000000000000000
χ434444-24-4-44-24-2-2400-2-2-2-2002-4-4200000220000000004-402200000000000000000-20000000000000000
χ444444-24-4-44-24-2-2400-2-2-2-2002-4-420000022000000000-440-2-20000000000000000020000000000000000
χ454444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-2111100000000-2-2111100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-1000000002211-1-100000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-211110000000022-1-1-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-100000000-2-2-1-11100000000000000000000000000
χ4944-4-4440044-4-4-4-40044-4-422−220000000000022−2222−222222−22−220000000000000000000000000000000000000000
χ5044-4-4440044-4-4-4-40044-4-4−222200000000000−2222−2222−22−2222220000000000000000000000000000000000000000
χ5144-4-44-200-242-4-4200-2-22222−2200000000000−2222−22−2−22200000023−23000000000000000000006−60000000000
χ5244-4-44-200-242-4-4200-2-22222−2200000000000−2222−22−2−222000000−232300000000000000000000−660000000000
χ5344-4-44-200-242-4-4200-2-222−2222000000000002−2−222222−2−200000023−2300000000000000000000−660000000000
χ5444-4-44-200-242-4-4200-2-222−2222000000000002−2−222222−2−2000000−2323000000000000000000006−60000000000
χ5544-4-4-24004-2-422-400-2-22222−220000000000022−22−22−2−222000023−230000000000000000000000006−600000000
χ5644-4-4-24004-2-422-400-2-22222−220000000000022−22−22−2−2220000−2323000000000000000000000000−6600000000
χ5744-4-4-24004-2-422-400-2-222−222200000000000−22222−222−2−2000023−23000000000000000000000000−6600000000
χ5844-4-4-24004-2-422-400-2-222−222200000000000−22222−222−2−20000−23230000000000000000000000006−600000000
χ594-44-44400-4-44-44-4004-44-4000000000000000000000000000000000004i−4i000000000000000000000000
χ604-44-44400-4-44-44-4004-44-400000000000000000000000000000000000−4i4i000000000000000000000000
χ614-4-44444-4-4-4-44-44004-4-44004-44-4000004-4000000000000000000000000000000000000000000000000
χ624-4-444-24-42-424-4-200-222-20042-2-400000-220000000000000000000000000000000000−2i32i3000000000000
χ634-4-444-24-42-424-4-200-222-20042-2-400000-2200000000000000000000000000000000002i3−2i3000000000000
χ644-4-444-2-442-424-4-24-4-222-200-4-22404-4-222-2000000000000000000-220000000000000000000000000000
χ654-4-444-2-442-424-4-2-44-222-200-4-2240-442-22-20000000000000000002-20000000000000000000000000000
χ664-4-44-244-4-42-4-22400-222-200-2-44200000-220000000000000000000000000000000023−2300000000000000
χ674-4-44-244-4-42-4-22400-222-200-2-44200000-2200000000000000000000000000000000−232300000000000000
χ684-4-44-24-44-42-4-2244-4-222-20024-4-20-224-42-2000000000000000000-220000000000000000000000000000
χ694-4-44-24-44-42-4-224-44-222-20024-4-202-2-442-20000000000000000002-20000000000000000000000000000
χ704-4-44-2-2-44222-22-24-41-1-11002-22-20-22-22-1100003-33-300000000001-13-300000000000000000000000000
χ714-4-44-2-2-44222-22-24-41-1-11002-22-20-22-22-110000-33-3300000000001-1-3300000000000000000000000000
χ724-4-44-2-2-44222-22-2-441-1-11002-22-202-22-2-1100003-33-30000000000-11-3300000000000000000000000000
χ734-4-44-2-2-44222-22-2-441-1-11002-22-202-22-2-110000-33-330000000000-113-300000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-4-444440022-2-242−4200000000000−2222−222222−2−20000000000000000000000000000000000000000
χ7688-8-8-4-400-4-444440022-2-2−42420000000000022−2222−22−2−2220000000000000000000000000000000000000000
χ778-88-88-4004-8-4-88400-44-440000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-8484-4-800-44-440000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-44-44002-22-20000000000000000032−32−32320000000000000000000000000000000000000000
χ808-88-8-4-40044-44-44002-22-200000000000000000−323232−320000000000000000000000000000000000000000
χ818-8-88-4-48-8444-44-4002-2-2200-44-44000002-2000000000000000000000000000000000000000000000000

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