Finite Group Databasebeta

← Group #11884807

Character table — Group #11884807

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order12223344666666366688121212122424242422441212121224242424242424444666688121224242424121212121212122448121212242444446121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11
χ4111111111111111111111111111111-1-1-1-111111111-11-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-111-1
χ51111111111111111111111111111-1-11111111111111-111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11111-11-1
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1111-11
χ9111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1111-1-11111-1-111-1-1-1-111-111-1-11-11-11-1-1-1-111111-11-1-1
χ10111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-111-111-1-11-1-11-11111-1-1-1-11-1-111
χ11111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-11-1-111-11-1-1111-1-111-1-1-11-11-1
χ12111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1-1-11-1-111-1111-1-1-111-1-111-111-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11-11-1-111-1-111-1-1111111-111-1-1-111-11-1-1-1-1-1-1-1-1-11111
χ14111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-111-1-1-11-11-111111111-11-1-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-11-111111-1-111-1-11111-1-11-1-1111-1-1-1111-1-1-1-1111-1-1-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-1111-111-1-1-11111-1-11-111-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-20000002-2-200222200-2-2000000000000000-200002-20000000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-2-2200-2-22200-2-200000000000000020000-220000000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-200000022-20022-2-20022000000000000000-20000-220000000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000-22200-2-2-2-20022000000000000000200002-20000000
χ2122222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1222222-1-122-1-1-1-10200000-1-122-1-1-1-1-1-12-1-1-1-1-1-12200000000000-1-1000
χ2222222-12222-1-1-12-1-1-1-122-122-1-1-1-1-122-2-2-2-2-1-122-1-1-1-10200000-1-122-1-1-1-1-1-1-2111111-2-20000000000011000
χ2322222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1-2-22222-1-122-1-1-1-10-20000011-2-21111112-1-1-1-1-1-1-2-20000000000011000
χ2422222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-10-20000011-2-2111111-21111112200000000000-1-1000
χ2522222-12222-1-1-12-1-1-1-1-2-2-122-11111222-2-2-2-1-1-2-211110200000-1-1-2-2-1-111112-11-1-1112-200000000000-11000
χ2622222-12222-1-1-12-1-1-1-1-2-2-122-1111122-2222-1-1-2-211110200000-1-1-2-2-1-11111-21-111-1-1-22000000000001-1000
χ2722222-12222-1-1-12-1-1-1-1-2-2-122-11111-2-22-2-2-2-1-1-2-211110-200000112211-1-1-1-12-11-1-111-22000000000001-1000
χ2822222-12222-1-1-12-1-1-1-1-2-2-122-11111-2-2-2222-1-1-2-211110-200000112211-1-1-1-1-21-111-1-12-200000000000-11000
χ292222-1222-1-1222-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-120222-1-10000000000-122-1-1-1-10022-1-1-1-1-1000000-100
χ302222-1222-1-1222-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-20-2-2-2110000000000-122-1-1-1-100-2-211111000000100
χ312222-1222-1-1222-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1202-2-2-1-100000000001-2-2111100-22-111-1-1000000100
χ322222-1222-1-1222-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1-20-2221100000000001-2-21111002-21-1-111000000-100
χ332222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-2002-211-1-1111111202-2-2-1-10000000000-12-2-1-111002-2-11111000000-100
χ342222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-2002-211-1-1111111-20-222110000000000-12-2-1-11100-221-1-1-1-1000000100
χ352222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-200-22-1-1-1-111111120222-1-100000000001-2211-1-100-2-2-1-1-111000000100
χ362222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-200-22-1-1-1-1111111-20-2-2-21100000000001-2211-1-10022111-1-1000000-100
χ372-2-2222-22-2-2-22-222-2-2200-22-220000000000-220000000002-200002-20022-2-20000000000002-200002-200000
χ382-2-2222-22-2-2-22-222-2-2200-22-220000000000-220000000002-20000-2200-2-2220000000000002-20000-2200000
χ392-2-2222-22-2-2-22-222-2-2200-22-220000000000-22000000000-2200002-20022-2-2000000000000-220000-2200000
χ402-2-2222-22-2-2-22-222-2-2200-22-220000000000-22000000000-220000-2200-2-222000000000000-2200002-200000
χ4144444-2-4-444-2-2-24-2-2-2-2002-4-420000440000220000000-400000-2-2002200000000000000000000000000000
χ4244444-2-4-444-2-2-24-2-2-2-2002-4-420000-4-400002200000004000002200-2-200000000000000000000000000000
χ434444-24-4-4-2-2444-2-2-2-2-200-422-400000000002200000040-400-2-200000000000000000000020000000000000
χ444444-24-4-4-2-2444-2-2-2-2-200-422-4000000000022000000-4040022000000000000000000000-20000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-2-2-21111000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-2111100000000000000000222-1-1-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4221122-1-1-1-100000000000000000-2-2211-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44-2-21122-1-1-1-10000000000000000022-2-1-111000000000000000000
χ4944-4-44400-444-4-4-44-44-400000000004-400000000000000000004-4000000000000000000000000000000000
χ5044-4-44400-444-4-4-44-44-40000000000-440000000000000000000-44000000000000000000000000000000000
χ5144-4-44-200-44-222-4-22-2200000066−6−64-40000000066−6−60000000-2200006−66−60000000000000000000000000
χ5244-4-44-200-44-222-4-22-2200000066−6−6-440000000066−6−600000002-20000−66−660000000000000000000000000
χ5344-4-44-200-44-222-4-22-22000000−6−6664-400000000−6−6660000000-220000−66−660000000000000000000000000
χ5444-4-44-200-44-222-4-22-22000000−6−666-4400000000−6−66600000002-200006−66−60000000000000000000000000
χ554-44-444004-4-4-44-444-4-422−22000022−2222−220000000022−2222−2222−22000000000000000000000000000000000000000000
χ564-44-444004-4-4-44-444-4-4−22220000−2222−222200000000−2222−2222−2222000000000000000000000000000000000000000000
χ574-44-44-2004-422-2-4-2-22222−220000−22−220000000022−22−22−220000000000023−236−6−660000000000000000000000000
χ584-44-44-2004-422-2-4-2-22222−220000−22−220000000022−22−22−2200000000000−2323−666−60000000000000000000000000
χ594-44-44-2004-422-2-4-2-222−222200002−22−200000000−22222−22−20000000000023−23−666−60000000000000000000000000
χ604-44-44-2004-422-2-4-2-222−222200002−22−200000000−22222−22−200000000000−23236−6−660000000000000000000000000
χ614-44-4-2400-22-4-442-2-22222−22000022−2222−2200000000−22−22−2200000−2i32i3000000000000000000000000i6−i6000000000
χ624-44-4-2400-22-4-442-2-22222−22000022−2222−2200000000−22−22−22000002i3−2i3000000000000000000000000−i6i6000000000
χ634-44-4-2400-22-4-442-2-222−22220000−2222−2222000000002−22−22−200000−2i32i3000000000000000000000000−i6i6000000000
χ644-44-4-2400-22-4-442-2-222−22220000−2222−2222000000002−22−22−2000002i3−2i3000000000000000000000000i6−i6000000000
χ654-4-44444-4-4-4-44-444-4-44004-44-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-42-224-222-200-2-44223−23−2323000000-220023−23−2323000000000000000000000000000000000000000000
χ674-4-444-24-4-4-42-224-222-200-2-442−232323−23000000-2200−232323−23000000000000000000000000000000000000000000
χ684-4-444-2-44-4-42-224-222-20024-4-200000000002-20000000000000004-400-2-2220000000000000000000000000
χ694-4-444-2-44-4-42-224-222-20024-4-200000000002-2000000000000000-440022-2-20000000000000000000000000
χ704-4-44-244-422-44-4-2-222-20042-2-400000000−2i32i3-220000000000000000000000000000−2i32i3000000000000000000
χ714-4-44-244-422-44-4-2-222-20042-2-4000000002i3−2i3-2200000000000000000000000000002i3−2i3000000000000000000
χ724-4-44-24-4422-44-4-2-222-200-4-22400000000002-20000000004-4000000000000000000000000-2200000000000
χ734-4-44-24-4422-44-4-2-222-200-4-22400000000002-2000000000-440000000000000000000000002-200000000000
χ744-4-44-2-24-4222-22-21-1-1100-22-2223−23−23230000−2i32i31-100−333−3000000000000000000003i−3ii3−i3000000000000000000
χ754-4-44-2-24-4222-22-21-1-1100-22-2223−23−232300002i3−2i31-100−333−300000000000000000000−3i3i−i3i3000000000000000000
χ764-4-44-2-24-4222-22-21-1-1100-22-22−232323−230000−2i32i31-1003−3−3300000000000000000000−3i3ii3−i3000000000000000000
χ774-4-44-2-24-4222-22-21-1-1100-22-22−232323−2300002i3−2i31-1003−3−33000000000000000000003i−3i−i3i3000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-48004-48-8-84-44-44000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-4-44442-22-20000002626−26−260000000000−6−666000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-44442-22-2000000−26−262626000000000066−6−6000000000000000000000000000000000000000000
χ828-88-8-4-400-4444-4422-2-242−420000−2222−222200000000−22222−22−2000000000000000000000000000000000000000000
χ838-88-8-4-400-4444-4422-2-2−4242000022−2222−220000000022−22−22−22000000000000000000000000000000000000000000
χ848-8-88-4-4-88444-44-42-2-22004-44-40000000000-22000000000000000000000000000000000000000000000000

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