Finite Group Databasebeta

← Group #11884634

Character table — Group #11884634

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order12223344666666344666881212121241212121212122424242424242424244466121212121212121244444488121212121212242424242228812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111-1-1111111-1-11-11-11-1-1-1-111111-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-111-1-1-111111111-1-1-11-11-11111-1-1-1-1-111-1-1-1-1-1-11-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-111-1-1-1111111-1-1-1-11-1-1-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-111-11-1-1-1111-1-111-11111-11-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-111-1-11-1111-1-1-111-1-1-111111-1-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1111-1-1-1-1-1-111111-1-1-1-1111
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1111-1-11-1-111111-1-111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-111-1-1-111-1-1-111
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-111-1-1-111-1-1-1-1-1-1-1-11-11-1-111-1-1-111-1-111-111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-11-1-11111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111111-1-11-1-11-1-11-1-1-1-1-1-1111-1-111-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-111-1-1-11-1111-1-1-1-111-1-1-1111-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1111-11-1-1-11111-1-1-1-1-111-111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-111-1111111111-1-1-1-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-2222200000022000000-200-2000000-20000000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-22-222-2-2000000-2-2000000200-200000020000000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-22-22-2-222000000-2-2000000-200200000020000000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-222-2-2-2-2000000220000002002000000-20000000
χ2122222-122-12-122-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-12002-1-1002-1-1-1-1-100202020000-1-1-1-1-10000000-100
χ2222222-122-12-122-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-200-211002-1-1-1-1-100-20-20-20000111110000000100
χ2322222-122-12-122-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-211112002-1-100-21-1-11100-2020-20000-1-1-1110000000100
χ2422222-122-12-122-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-200-21100-21-1-1110020-2020000111-1-10000000-100
χ2522222-122-12-122-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-12002-1-100-21111100-20-2020000-111-1-10000000100
χ2622222-122-12-122-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-200-21100-211111002020-200001-1-1110000000-100
χ2722222-122-12-122-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-211112002-1-1002-111-1-10020-20-20000-111110000000-100
χ2822222-122-12-122-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-21111-200-211002-111-1-100-2020200001-1-1-1-10000000100
χ292222-12222-12-1-12-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-1022000-1-1-12-1-1-1-100020202-1-1-100000-1-1000000-10
χ302222-12222-12-1-12-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10-2-200011-12-1-1-1-1000-20-20-2111000001100000010
χ312222-12222-12-1-12-122-1-1-1-2-2-122-1-2-1-122-1-1-2-2111111022000-1-11-2-1-11100020-20-2-1-1-1000001100000010
χ322222-12222-12-1-12-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110-2-2000111-2-1-111000-2020211100000-1-1000000-10
χ332222-12222-12-1-12-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1022000-1-11-21111000-20-202-11100000-1-100000010
χ342222-12222-12-1-12-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10-2-2000111-211110002020-21-1-10000011000000-10
χ352222-12222-12-1-12-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-2111111022000-1-1-1211-1-1000-2020-2-1110000011000000-10
χ362222-12222-12-1-12-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-21111110-2-200011-1211-1-100020-2021-1-100000-1-100000010
χ372-2-2222-22-2-2-2-22222-2-2-2200-22-2202-22-2-220000000000000000002-20000000000000000000002-22-2000
χ382-2-2222-22-2-2-2-22222-2-2-2200-22-2202-22-2-220000000000000000002-2000000000000000000000-22-22000
χ392-2-2222-22-2-2-2-2222-22-2-2200-22-220-22-22-22000000000000000000-220000000000000000000002-2-22000
χ402-2-2222-22-2-2-2-2222-22-2-2200-22-220-22-22-22000000000000000000-22000000000000000000000-222-2000
χ4144444-2-4-4-24-244-2-200-2-2-200-422-4000002200000000400-4-2-20000000000000000000200000000000000
χ4244444-2-4-4-24-244-2-200-2-2-200-422-4000002200000000-4004220000000000000000000-200000000000000
χ434444-24-4-44-24-2-24-200-2-2-2002-4-4200000220000000004-4000-2-200000000000000200000000000000000
χ444444-24-4-44-24-2-24-200-2-2-2002-4-420000022000000000-440002200000000000000-200000000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-2111100000000-2-2111100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-1000000002211-1-100000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-211110000000022-1-1-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-100000000-2-2-1-11100000000000000000000000000
χ4944-4-4440044-4-4-4-44004-4-422−220000000000022−2222−222222−22−220000000000000000000000000000000000000000
χ5044-4-4440044-4-4-4-44004-4-4−222200000000000−2222−2222−22−2222220000000000000000000000000000000000000000
χ5144-4-44-200-242-4-42-200-22222−2200000000000−2222−22−2−2220000−2i32i30000000000000000000000i6−i60000000000
χ5244-4-44-200-242-4-42-200-22222−2200000000000−2222−22−2−22200002i3−2i30000000000000000000000−i6i60000000000
χ5344-4-44-200-242-4-42-200-222−2222000000000002−2−222222−2−20000−2i32i30000000000000000000000−i6i60000000000
χ5444-4-44-200-242-4-42-200-222−2222000000000002−2−222222−2−200002i3−2i30000000000000000000000i6−i60000000000
χ5544-4-4-24004-2-422-4-200-22222−220000000000022−22−22−2−222000000−2i32i30000000000000000000000i6−i600000000
χ5644-4-4-24004-2-422-4-200-22222−220000000000022−22−22−2−2220000002i3−2i30000000000000000000000−i6i600000000
χ5744-4-4-24004-2-422-4-200-222−222200000000000−22222−222−2−2000000−2i32i30000000000000000000000−i6i600000000
χ5844-4-4-24004-2-422-4-200-222−222200000000000−22222−222−2−20000002i3−2i30000000000000000000000i6−i600000000
χ594-44-44400-4-444-4-4400-44-4000000000000000000000000000000000004i−4i000000000000000000000000
χ604-44-44400-4-444-4-4400-44-400000000000000000000000000000000000−4i4i000000000000000000000000
χ614-4-44444-4-4-4-4-444400-4-44004-44-4000004-4000000000000000000000000000000000000000000000000
χ624-4-444-24-42-42-44-2-20022-20042-2-400000-220000000000000000000000000000000000−2i32i3000000000000
χ634-4-444-24-42-42-44-2-20022-20042-2-400000-2200000000000000000000000000000000002i3−2i3000000000000
χ644-4-444-2-442-42-44-2-24-422-200-4-22404-4-222-2000000000000000000-220000000000000000000000000000
χ654-4-444-2-442-42-44-2-2-4422-200-4-2240-442-22-20000000000000000002-20000000000000000000000000000
χ664-4-44-244-4-42-42-24-20022-200-2-44200000-22000000000000000000000000000000023−23000000000000000
χ674-4-44-244-4-42-42-24-20022-200-2-44200000-220000000000000000000000000000000−2323000000000000000
χ684-4-44-24-44-42-42-24-24-422-20024-4-20-224-42-2000000000000000000-220000000000000000000000000000
χ694-4-44-24-44-42-42-24-2-4422-20024-4-202-2-442-20000000000000000002-20000000000000000000000000000
χ704-4-44-2-2-442222-2-214-4-1-11002-22-20-22-22-1100003-33-300000000001-13-300000000000000000000000000
χ714-4-44-2-2-442222-2-214-4-1-11002-22-20-22-22-110000-33-3300000000001-1-3300000000000000000000000000
χ724-4-44-2-2-442222-2-21-44-1-11002-22-202-22-2-1100003-33-30000000000-11-3300000000000000000000000000
χ734-4-44-2-2-442222-2-21-44-1-11002-22-202-22-2-110000-33-330000000000-113-300000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-4-444442002-2-242−4200000000000−2222−222222−2−20000000000000000000000000000000000000000
χ7688-8-8-4-400-4-444442002-2-2−42420000000000022−2222−22−2−2220000000000000000000000000000000000000000
χ778-88-88-4004-8-48-84-4004-440000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-848-44-8-4004-440000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-4-444200-22-20000000000000000032−32−32320000000000000000000000000000000000000000
χ808-88-8-4-40044-4-444200-22-200000000000000000−323232−320000000000000000000000000000000000000000
χ818-8-88-4-48-84444-4-4200-2-2200-44-44000002-2000000000000000000000000000000000000000000000000

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