Finite Group Databasebeta

← Group #11884805

Character table — Group #11884805

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order12223344666666366688121212122424242422246612122424242424242444466881212121224242424666121212124446812122424444412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1-1-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
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
χ4111111111111111111111111111111-1-1-1-111111111-11-111111111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-111-1
χ51111111111111111111111111111-1-11111111111111-1111-1-1-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1-11-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11111-11-1
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
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11111111-1-11111-1-1-1-1111-1-1-1-11-1-11-111-1-111-1-11-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1111-1-1-1-11-11-11-1-111-1-1111-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-11111-1111-1-1-1-1-11111-111-1-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-1-1-1-11111-11-1-111111-1-1-1-1-11-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11-1111-1-111-1-1111111111-1-1-1-1-11-11-111-1-1-1-111-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-111-11-1-11111-1-1-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11-11-1-1-1-111-1-1111111-1-1-111111-111-1-1-1-1-1-1-1-1-11-1111
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-111111-1-1-11111111111-1-1-1-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-20000002-2-2002200-2-2-2-200000000000000200000-220000000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-2-22002200-2-22200000000000000-2000002-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-200000022-200-2-20022-2-2000000000000002000002-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000-22200-2-200222200000000000000-200000-220000000
χ2122222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1222222-1-122-1-1-1-102000-1-122-1-100-1-1-1-1-1-1-12-1-1-12200000000000-1-1000
χ2222222-12222-1-1-12-1-1-1-122-122-1-1-1-1-122-2-2-2-2-1-122-1-1-1-102000-1-122-1-100-1-1-1-1111-2111-2-20000000000011000
χ2322222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1-2-22222-1-122-1-1-1-10-200011-2-211001111-1-1-12-1-1-1-2-20000000000011000
χ2422222-12222-1-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-10-200011-2-211001111111-21112200000000000-1-1000
χ2522222-12222-1-1-12-1-1-1-1-2-2-122-11111222-222-1-1-2-2111102000-1-1-2-2-1-1001111-1-1-1-21112-200000000000-11000
χ2622222-12222-1-1-12-1-1-1-1-2-2-122-1111122-22-2-2-1-1-2-2111102000-1-1-2-2-1-10011111112-1-1-1-22000000000001-1000
χ2722222-12222-1-1-12-1-1-1-1-2-2-122-11111-2-22-222-1-1-2-211110-200011221100-1-1-1-1-1-1-1-2111-22000000000001-1000
χ2822222-12222-1-1-12-1-1-1-1-2-2-122-11111-2-2-22-2-2-1-1-2-211110-200011221100-1-1-1-11112-1-1-12-200000000000-11000
χ292222-1222-1-1222-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-120222000000-1-100002-1-1-12-1-1002-12-1-1-1-1000000-100
χ302222-1222-1-1222-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-20-2-2-20000001100002-1-1-12-1-100-21-21111000000100
χ312222-1222-1-1222-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1202-2-2000000-1-10000-2111-21100-2-1211-1-1000000100
χ322222-1222-1-1222-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1-20-222000000110000-2111-2110021-2-1-111000000-100
χ332222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-111111120222000000-1-100002-1-11-21100-2-1-2-1-111000000100
χ342222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-1111111-20-2-2-20000001100002-1-11-2110021211-1-1000000-100
χ352222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1111111202-2-2000000-1-10000-211-12-1-1002-1-21111000000-100
χ362222-1222-1-1222-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1111111-20-222000000110000-211-12-1-100-212-1-1-1-1000000100
χ372-2-2222-22-2-2-2-2222-22-200-22-220000000000-220000000002-2002-2000022-2-20000000000002-200002-200000
χ382-2-2222-22-2-2-2-2222-22-200-22-220000000000-220000000002-200-220000-2-2220000000000002-20000-2200000
χ392-2-2222-22-2-2-2-2222-22-200-22-220000000000-22000000000-22002-2000022-2-2000000000000-220000-2200000
χ402-2-2222-22-2-2-2-2222-22-200-22-220000000000-22000000000-2200-220000-2-222000000000000-2200002-200000
χ4144444-2-4-444-2-2-24-2-2-2-2002-4-420000440000220000000-4000-2-200220000000000000000000000000000000
χ4244444-2-4-444-2-2-24-2-2-2-2002-4-420000-4-4000022000000040002200-2-20000000000000000000000000000000
χ434444-24-4-4-2-2444-2-2-2-2-200-422-400000000002200000040-4000000002200000000000000-200000000000000
χ444444-24-4-4-2-2444-2-2-2-2-200-422-4000000000022000000-40400000000-2-200000000000000200000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-211-2-211000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-21111000000000000000002-1-122-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-21122-1-1-1-100000000000000000-21122-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44221122-1-1-1-1000000000000000002-1-1-2-211000000000000000000
χ4944-4-44400-444-4-4-44-4-4422−2200002222−22−220000000022−222222−22−22000000000000000000000000000000000000000000
χ5044-4-44400-444-4-4-44-4-44−22220000−22−22222200000000−2222−22−222222000000000000000000000000000000000000000000
χ5144-4-44-200-44-222-4-222-222−220000−2−2220000000022−22−2−22200000000023−23006−66−60000000000000000000000000
χ5244-4-44-200-44-222-4-222-222−220000−2−2220000000022−22−2−222000000000−232300−66−660000000000000000000000000
χ5344-4-44-200-44-222-4-222-2−2222000022−2−200000000−222222−2−200000000023−2300−66−660000000000000000000000000
χ5444-4-44-200-44-222-4-222-2−2222000022−2−200000000−222222−2−2000000000−2323006−66−60000000000000000000000000
χ5544-4-4-24002-24-4-42-222-222−2200002222−22−2200000000−22−2−2220000000000023−230000000000000000006−6000000000
χ5644-4-4-24002-24-4-42-222-222−2200002222−22−2200000000−22−2−22200000000000−2323000000000000000000−66000000000
χ5744-4-4-24002-24-4-42-222-2−22220000−22−222222000000002−222−2−20000000000023−23000000000000000000−66000000000
χ5844-4-4-24002-24-4-42-222-2−22220000−22−222222000000002−222−2−200000000000−23230000000000000000006−6000000000
χ594-44-444004-4-44-4-444-4-400000000004-4000000000000000004-400000000000000000000000000000000000
χ604-44-444004-4-44-4-444-4-40000000000-4400000000000000000-4400000000000000000000000000000000000
χ614-44-44-2004-42-22-4-2-2220000006−66−64-4000000006−66−600000-220000006−6−660000000000000000000000000
χ624-44-44-2004-42-22-4-2-2220000006−66−6-44000000006−66−6000002-2000000−666−60000000000000000000000000
χ634-44-44-2004-42-22-4-2-222000000−66−664-400000000−66−6600000-22000000−666−60000000000000000000000000
χ644-44-44-2004-42-22-4-2-222000000−66−66-4400000000−66−66000002-20000006−6−660000000000000000000000000
χ654-4-44444-4-4-4-4-4444-44-4004-44-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-422-24-22-2200-2-44223−23−2323000000-220023−23−2323000000000000000000000000000000000000000000
χ674-4-444-24-4-4-422-24-22-2200-2-442−232323−23000000-2200−232323−23000000000000000000000000000000000000000000
χ684-4-444-2-44-4-422-24-22-220024-4-200000000002-200000000000004-40000-2-2220000000000000000000000000
χ694-4-444-2-44-4-422-24-22-220024-4-200000000002-20000000000000-44000022-2-20000000000000000000000000
χ704-4-44-244-422-4-44-2-22-220042-2-400000000−2i32i3-22000000000000000000000000−2i32i30000000000000000000000
χ714-4-44-244-422-4-44-2-22-220042-2-4000000002i3−2i3-220000000000000000000000002i3−2i30000000000000000000000
χ724-4-44-24-4422-4-44-2-22-2200-4-22400000000002-20000000004-4000000000000000000000000-2200000000000
χ734-4-44-24-4422-4-44-2-22-2200-4-22400000000002-2000000000-440000000000000000000000002-200000000000
χ744-4-44-2-24-42222-2-21-11-100-22-2223−23−23230000−2i32i31-100−333−3000000000000000000i3−i3003i−3i000000000000000000
χ754-4-44-2-24-42222-2-21-11-100-22-2223−23−232300002i3−2i31-100−333−3000000000000000000−i3i300−3i3i000000000000000000
χ764-4-44-2-24-42222-2-21-11-100-22-22−232323−230000−2i32i31-1003−3−33000000000000000000i3−i300−3i3i000000000000000000
χ774-4-44-2-24-42222-2-21-11-100-22-22−232323−2300002i3−2i31-1003−3−33000000000000000000−i3i3003i−3i000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004-4-44442-2-2242−420000−22−22222200000000−222222−2−2000000000000000000000000000000000000000000
χ8088-8-8-4-4004-4-44442-2-22−424200002222−22−220000000022−22−2−222000000000000000000000000000000000000000000
χ818-88-8-4800-44-88-84-4-444000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-444-44422-2-200000026−2626−260000000000−66−66000000000000000000000000000000000000000000
χ838-88-8-4-400-444-44422-2-2000000−2626−262600000000006−66−6000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-42-22-2004-44-40000000000-22000000000000000000000000000000000000000000000000

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