Finite Group Databasebeta

← Group #11886691

Character table — Group #11886691

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112222222224444444444444444488888888888888888121212121212121212121212161616162424242424242424242424242424242424243636727272
order122334466121222344666881212121212242466666121212121224242424242424246688121224242424661212244668881212121224242424242424448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111-111-1-1111-1-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-11-1-111-1-1-1111111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111-111-1111-1-111111-1-11-11-111-11-11-1-1-1-1-1-1-11111111111111-11-11-1-1111-1-1-1-1-1-111-1-1-1-1111-1-1
χ6111111111111-111-1111-1-111111-1-11-11-111-11-11-1-1-1-1-1-1-11111-1-111-1-1-1-11-11-11-1111-11-1-1-111-1-111-1-1-1-1-111
χ7111111111111-111-1111-1-111111-1-11-11-111-11-11-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-11-1-1-11-1111-1-111-1-111-1-1-111
χ8111111111111-111-1111-1-111111-1-11-11-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1111111-1-11111111-1-1
χ911111111111-111-11111-1-111111-1-1-11-111-11-111-1-1-1-1-1-1-1111111111111-11-11-11-1-1-1-11-111-1-1-1-111-1-111-11-1
χ1011111111111-111-11111-1-111111-1-1-11-111-11-111-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-11-111-1-11-1-1111111-1-1-1-1-1-11-11
χ1111111111111-111-11111-1-111111-1-1-11-111-11-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-111-1-111-111-1-1-1-1-1-11111-1-11-11
χ1211111111111-111-11111-1-111111-1-1-11-111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11111-11-1-11111-1-11111-11-1
χ1311111111111-1-11-1-1111111111111-1-1-1-11-1-1-1-111111111111111111111-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-11111-1-11
χ1411111111111-1-11-1-1111111111111-1-1-1-11-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-111-1
χ1511111111111-1-11-1-1111111111111-1-1-1-11-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-111-1
χ1611111111111-1-11-1-1111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1-11111-1-111-1-11
χ172222-1222-12222-122-12-122-1-1-12-1-1-122-1-1-122-1-1-122-1-1-1-1-122-1-100-1-10000-1-1-1-1220-1-1002-1-1000000-1-100000
χ182222-1222-12222-122-12-122-1-1-12-1-1-122-1-1-122-1-1-122-1-1-1-1-1-2-21100110000-1-1-1-1-2-201100-2110000001100000
χ192222-1222-1222-2-12-2-12-1-2-2-1-1-12-1112-2-11-12-2-11-1-2-21111122-1-100-1-10000-11-112-20-1-100-2110000001100000
χ202222-1222-1222-2-12-2-12-1-2-2-1-1-12-1112-2-11-12-2-11-1-2-211111-2-21100110000-11-11-22011002-1-1000000-1-100000
χ212222-1222-122-22-1-22-12-1-2-2-1-1-12-111-221-1-1-221-1-1-2-21111122-1-100-1-100001-11-1-2201100-2-1-10000001100000
χ222222-1222-122-22-1-22-12-1-2-2-1-1-12-111-221-1-1-221-1-1-2-211111-2-211001100001-11-12-20-1-100211000000-1-100000
χ232222-1222-122-2-2-1-2-2-12-122-1-1-12-1-1-1-2-211-1-2-211-122-1-1-1-1-122-1-100-1-100001111-2-201100211000000-1-100000
χ242222-1222-122-2-2-1-2-2-12-122-1-1-12-1-1-1-2-211-1-2-211-122-1-1-1-1-1-2-211001100001111220-1-100-2-1-10000001100000
χ25222-1222-12-1-122-1222-1-1222-1-1-1222-1-122-1-1-122-1-1-12-1-1-1-100002200-1-1-1-1-1-1-1-10020022000-1-1-1-1-1-10000000
χ26222-1222-12-1-122-1222-1-1222-1-1-1222-1-122-1-1-122-1-1-12-1-1-1-10000-2-2001111-1-1-1-100-200-2-20001111110000000
χ27222-1222-12-1-12-2-12-22-1-1-2-22-1-1-12-2-2-112-2-1-112-2-111-2111100002200-1-1-1-1-11-1100-2002-200011-1-1110000000
χ28222-1222-12-1-12-2-12-22-1-1-2-22-1-1-12-2-2-112-2-1-112-2-111-211110000-2-2001111-11-1100200-22000-1-111-1-10000000
χ29222-1222-12-1-1-22-1-222-1-1-2-22-1-1-12-2-21-1-22-11-1-22-111-2111100002200-1-1-1-11-11-100-200-220001111-1-10000000
χ30222-1222-12-1-1-22-1-222-1-1-2-22-1-1-12-2-21-1-22-11-1-22-111-211110000-2-20011111-11-1002002-2000-1-1-1-1110000000
χ31222-1222-12-1-1-2-2-1-2-22-1-1222-1-1-122211-2-2-111-2-2-1-1-12-1-1-1-100002200-1-1-1-1111100200-2-2000-1-111110000000
χ32222-1222-12-1-1-2-2-1-2-22-1-1222-1-1-122211-2-2-111-2-2-1-1-12-1-1-1-10000-2-2001111111100-2002200011-1-1-1-10000000
χ3322-2222-2222200200-2-2200222-2-2000000-20000-200000002-2222-2-2-222-2-200000000000000000000002-2000
χ3422-2222-2222200200-2-2200222-2-2000000-20000-200000002-222-22-2-2-2-2220000000000000000000000-22000
χ3522-2222-2222200200-2-2200222-2-2000000-20000-20000000-22-2-22-22222-2-20000000000000000000000-22000
χ3622-2222-2222200200-2-2200222-2-2000000-20000-20000000-22-2-2-2222-2-22200000000000000000000002-2000
χ3722-222-2222-2-2222-2-2-2-222-2-2-2-222-2-22222-2-2-2-2-222-2222-2-200000000000022-2-200000000000000000000000
χ3822-222-2222-2-22-22-22-2-22-22-2-2-222222-22-2-2-22-222-22-2-2-2220000000000002-2-2200000000000000000000000
χ3922-222-2222-2-2-2222-2-2-22-22-2-2-22222-22-22-22-22-22-22-2-2-222000000000000-222-200000000000000000000000
χ4022-222-2222-2-2-2-2222-2-222-2-2-2-222-2-2-2-2-2-2-2222222-2222-2-2000000000000-2-22200000000000000000000000
χ4122-22-1-222-1-2-222-1-2-21-2-12-21112-11122-1-11-2-211-12-2-1-1-11100−i3i300−i3i30000-1-111000−i3i3000−i3i3000000−i3i300000
χ4222-22-1-222-1-2-222-1-2-21-2-12-21112-11122-1-11-2-211-12-2-1-1-11100i3−i300i3−i30000-1-111000i3−i3000i3−i3000000i3−i300000
χ4322-22-1-222-1-2-22-2-1-221-2-1-221112-1-1-12-2-111-221-1-1-22111-1-100−i3i300−i3i30000-111-1000−i3i3000i3−i3000000i3−i300000
χ4422-22-1-222-1-2-22-2-1-221-2-1-221112-1-1-12-2-111-221-1-1-22111-1-100i3−i300i3−i30000-111-1000i3−i3000−i3i3000000−i3i300000
χ4522-22-1-222-1-2-2-22-12-21-2-1-221112-1-1-1-221-112-2-11-1-22111-1-100−i3i300−i3i300001-1-11000i3−i3000−i3i3000000i3−i300000
χ4622-22-1-222-1-2-2-22-12-21-2-1-221112-1-1-1-221-112-2-11-1-22111-1-100i3−i300i3−i300001-1-11000−i3i3000i3−i3000000−i3i300000
χ4722-22-1-222-1-2-2-2-2-1221-2-12-21112-111-2-211122-1-1-12-2-1-1-11100−i3i300−i3i3000011-1-1000i3−i3000i3−i3000000−i3i300000
χ4822-22-1-222-1-2-2-2-2-1221-2-12-21112-111-2-211122-1-1-12-2-1-1-11100i3−i300i3−i3000011-1-1000−i3i3000−i3i3000000i3−i300000
χ4922-2-12-22-121122-1-2-2-21-12-2-211-12-2-2-1-122111-2-2-1-112-1-111000000003−33−3-1-11100000000003−33−33−30000000
χ5022-2-12-22-121122-1-2-2-21-12-2-211-12-2-2-1-122111-2-2-1-112-1-11100000000−33−33-1-1110000000000−33−33−330000000
χ5122-2-12-22-12112-2-1-22-21-1-22-211-1222-112-211-1-22-11-1-211-1-1000000003−33−3-111-10000000000−333−3−330000000
χ5222-2-12-22-12112-2-1-22-21-1-22-211-1222-112-211-1-22-11-1-211-1-100000000−33−33-111-100000000003−3−333−30000000
χ5322-2-12-22-1211-22-12-2-21-1-22-211-12221-1-221-112-2-11-1-211-1-1000000003−33−31-1-110000000000−33−333−30000000
χ5422-2-12-22-1211-22-12-2-21-1-22-211-12221-1-221-112-2-11-1-211-1-100000000−33−331-1-1100000000003−33−3−330000000
χ5522-2-12-22-1211-2-2-122-21-12-2-211-12-2-211-2-21-1-122-1-112-1-111000000003−33−311-1-100000000003−3−33−330000000
χ5622-2-12-22-1211-2-2-122-21-12-2-211-12-2-211-2-21-1-122-1-112-1-11100000000−33−3311-1-10000000000−333−33−30000000
χ5744444-4-444-4-40040044400-4-4-4-4-400000040000-40000000000000000000000000000000000000000000000
χ584444-2-4-44-2-4-400-200-24-200222-42000000-200002000000000−2i32i3002i3−2i30000000000000000000000000000000
χ594444-2-4-44-2-4-400-200-24-200222-42000000-2000020000000002i3−2i300−2i32i30000000000000000000000000000000
χ60444-24-4-4-242200-2004-2-200-4222-4000000-20000200000000000000023−23−2323000000000000000000000000000
χ61444-24-4-4-242200-2004-2-200-4222-4000000-200002000000000000000−232323−23000000000000000000000000000
χ62444-2-244-2-2-2-244144-2-2144-211-2-2-2-2-2-2-2-21-2-2-2-21-2-2-21111000000000000111100000000000000000000000
χ63444-2-244-2-2-2-24-414-4-2-21-4-4-211-2-222-22-221-22-221222-1-1-1-10000000000001-11-100000000000000000000000
χ64444-2-244-2-2-2-2-441-44-2-21-4-4-211-2-2222-22-212-22-21222-1-1-1-1000000000000-11-1100000000000000000000000
χ65444-2-244-2-2-2-2-4-41-4-4-2-2144-211-2-2-2-22222122221-2-2-21111000000000000-1-1-1-100000000000000000000000
χ6644-44-24-44-24400-2002-4-200-2-2-2-4200000020000200000004-4-2-200220000000000000000000000000000000
χ6744-44-24-44-24400-2002-4-200-2-2-2-420000002000020000000-442200-2-20000000000000000000000000000000
χ6844-4-244-4-24-2-200-200-42-2004-2-22-4000000200002000000000004-400-2-222000000000000000000000000000
χ6944-4-244-4-24-2-200-200-42-2004-2-22-400000020000200000000000-440022-2-2000000000000000000000000000
χ7044-4-2-2-44-2-222441-4-42214-42-1-1-2-222-2-2-2-2-122221-22-211-1-100000000000011-1-100000000000000000000000
χ7144-4-2-2-44-2-2224-41-44221-442-1-1-2-2-2-2-22-22-12-22-212-22-1-1110000000000001-1-1100000000000000000000000
χ7244-4-2-2-44-2-222-4414-4221-442-1-1-2-2-2-22-22-2-1-22-2212-22-1-111000000000000-111-100000000000000000000000
χ7344-4-2-2-44-2-222-4-41442214-42-1-1-2-2222222-1-2-2-2-21-22-211-1-1000000000000-1-11100000000000000000000000
χ74888-4-4-8-8-4-44400200-4-42004-2-24400000020000-20000000000000000000000000000000000000000000000
χ7588-8-4-48-8-4-4-4-40020044200-42244000000-20000-20000000000000000000000000000000000000000000000
χ768-808800-8-8000080000-800000000000000000000000000000000000000000000000000000000000000000
χ778-808-400-840000-400004000000026−2600000000000000026−26000000000000000000000000000000000000000
χ788-808-400-840000-4000040000000−2626000000000000000−2626000000000000000000000000000000000000000
χ798-80-48004-843−4300-40000400043−43000000000000000000000000000000000000000000000000000000000000
χ808-80-48004-8−434300-400004000−4343000000000000000000000000000000000000000000000000000000000000
χ818-80-4-4004443−430020000-2000−23230026−26000000000000032−32−66000000000000000000000000000000000000000
χ828-80-4-4004443−430020000-2000−232300−26260000000000000−32326−6000000000000000000000000000000000000000
χ838-80-4-40044−43430020000-200023−230026−260000000000000−3232−66000000000000000000000000000000000000000
χ848-80-4-40044−43430020000-200023−2300−2626000000000000032−326−6000000000000000000000000000000000000000

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