Finite Group Databasebeta

← Group #11864986

Character table — Group #11864986

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222222244444444444444888888888888888991212121212121212161616161616181818242424242424242424242424363636364848484872
order12233446622344666661212121246666121212121212121212124422224444661212121222466668888121212124444242424242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ311111111111111111111111111111111111111-1-111-1-111-1-1111111-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1
χ5111111111111-1-1111111111-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1
χ6111111111111-1-1111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1
χ7111111111111-1-1111111111-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111
χ8111111111111-1-1111111111-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11
χ9111111111-1-1111111111111-1-1-1-1-11111111111111-11-11-11-1-1-1-1-1-1-11111-11-11-11-11-11-1-1-1111-11-1-1
χ10111111111-1-1111111111111-1-1-1-1-1111111111111-11-11-11-11-1-1-1-1-1-1111-11-11-11-11-11-11-1-111-11-11-1
χ11111111111-1-1111111111111-1-1-1-1-11111111111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111-1-11-1-111
χ12111111111-1-1111111111111-1-1-1-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-111-1-1-111-11
χ13111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-1-1-111111111-11-1-11-111-11-1-1-1-1-1-11-111
χ14111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-11-1-11111111-11-111-11-1-11-11-1-1-1-11-11-11
χ15111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11-1-11111-1-1-11-1-11-111-11-1-111111-111-1-1
χ16111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-11111-1-1-1-111-11-1-11-111-111111-1-11-1
χ1722222-2-2222-220022222-2-2-2-2022-2-200000000-2-222000000002-20000-2-220000000000002-20000000
χ1822222-2-2222-220022222-2-2-2-2022-2-200000000-2-2-2-2000000002-2000022-2000000000000-220000000
χ1922222-2-222-2220022222-2-2-2-20-2-22200000000-2-22200000000-220000-2-22000000000000-220000000
χ2022222-2-222-2220022222-2-2-2-20-2-22200000000-2-2-2-200000000-22000022-20000000000002-20000000
χ212222-1222-122-1222-1-1-1-122-1-122-12-122-1-1-1-1-1-1-1-10000220022-1-12-1-1-100000-1-1002200-1-1000000-1-10
χ222222-1222-122-1222-1-1-1-122-1-122-12-122-1-1-1-1-1-1-1-10000-2-200-2-2-1-12-1-1-1000001100-2-20011000000110
χ232222-1222-122-1-2-22-1-1-1-122-1-1-22-12-1-2-2111111-1-10000220022-1-1-211100000-1-100-2-200-1-1000000110
χ242222-1222-122-1-2-22-1-1-1-122-1-1-22-12-1-2-2111111-1-10000-2-200-2-2-1-1-2111000001100220011000000-1-10
χ252222-1222-1-2-2-1222-1-1-1-122-1-1-2-21-2122-1-1-1-1-1-1-1-100002-2002-211-211100000-11002-200-11000000-110
χ262222-1222-1-2-2-1222-1-1-1-122-1-1-2-21-2122-1-1-1-1-1-1-1-10000-2200-2211-2111000001-100-22001-10000001-10
χ272222-1222-1-2-2-1-2-22-1-1-1-122-1-12-21-21-2-2111111-1-100002-2002-2112-1-1-100000-1100-2200-110000001-10
χ282222-1222-1-2-2-1-2-22-1-1-1-122-1-12-21-21-2-2111111-1-10000-2200-22112-1-1-1000001-1002-2001-1000000-110
χ29222-1222-1222-122-12-1-1-1-1-1222-12-12-1-122-1-1-1-1-1-10022002200-1-1-12-1-1000-1-1002200-1-1000000-1-1000
χ30222-1222-1222-122-12-1-1-1-1-1222-12-12-1-122-1-1-1-1-1-100-2-200-2-200-1-1-12-1-10001100-2-2001100000011000
χ31222-1222-1222-1-2-2-12-1-1-1-1-122-2-12-1211-2-21111-1-10022002200-1-11-211000-1-100-2-200-1-100000011000
χ32222-1222-1222-1-2-2-12-1-1-1-1-122-2-12-1211-2-21111-1-100-2-200-2-200-1-11-2110001100220011000000-1-1000
χ33222-1222-12-2-2-122-12-1-1-1-1-122-21-21-2-1-122-1-1-1-1-1-1002-2002-200111-211000-11002-200-11000000-11000
χ34222-1222-12-2-2-122-12-1-1-1-1-122-21-21-2-1-122-1-1-1-1-1-100-2200-2200111-2110001-100-22001-10000001-1000
χ35222-1222-12-2-2-1-2-2-12-1-1-1-1-12221-21-211-2-21111-1-1002-2002-20011-12-1-1000-1100-2200-110000001-1000
χ36222-1222-12-2-2-1-2-2-12-1-1-1-1-12221-21-211-2-21111-1-100-2200-220011-12-1-10001-1002-2001-1000000-11000
χ3722-2222-22200200-2-2-2-222-22-200000000000002-222020-20-2020000002-2-2020-200000-202000000000
χ3822-2222-22200200-2-2-2-222-22-200000000000002-2220-202020-20000002-2-20-2020000020-2000000000
χ3922-2222-22200200-2-2-2-222-22-200000000000002-2-2-202020-20-2000000-222020200000-20-2000000000
χ4022-2222-22200200-2-2-2-222-22-200000000000002-2-2-20-20-20202000000-2220-20-200000202000000000
χ4122-222-222200200-2-2-2-22-22-220000000000000-222220-20-2020000000-22-220-200000-2020000000000
χ4222-222-222200200-2-2-2-22-22-220000000000000-2222-202020-20000000-22-2-2020000020-20000000000
χ4322-222-222200200-2-2-2-22-22-220000000000000-22-2-22020-20-200000002-2220200000-20-20000000000
χ4422-222-222200200-2-2-2-22-22-220000000000000-22-2-2-20-2020200000002-22-20-2000002020000000000
χ454444-2-4-44-24-4-2004-2-2-2-2-4-42204-2-4200000000220000000000-220000000000000000000000000000
χ464444-2-4-44-2-44-2004-2-2-2-2-4-4220-424-2000000002200000000002-20000000000000000000000000000
χ47444-24-4-4-244-4-200-24-2-2-222-4-40-242-400000000220000000000-220000000000000000000000000000
χ48444-24-4-4-24-44-200-24-2-2-222-4-402-4-24000000002200000000002-20000000000000000000000000000
χ49444-2-244-2-244144-2-2111-2-2-2-24-2-2-2-2-2-2-2-2111111000000000011-2-211000000000000000000000000
χ50444-2-244-2-2441-4-4-2-2111-2-2-2-2-4-2-2-2-22222-1-1-1-11100000000001122-1-1000000000000000000000000
χ51444-2-244-2-2-4-4144-2-2111-2-2-2-2-42222-2-2-2-21111110000000000-1-122-1-1000000000000000000000000
χ52444-2-244-2-2-4-41-4-4-2-2111-2-2-2-2422222222-1-1-1-1110000000000-1-1-2-211000000000000000000000000
χ53444-2-2-4-4-2-24-4100-2-211122220-2-222000033-3-3-1-100000000001-1003-3000000000000000000000000
χ54444-2-2-4-4-2-24-4100-2-211122220-2-2220000-3-333-1-100000000001-100-33000000000000000000000000
χ55444-2-2-4-4-2-2-44100-2-21112222022-2-2000033-3-3-1-10000000000-1100-33000000000000000000000000
χ56444-2-2-4-4-2-2-44100-2-21112222022-2-20000-3-333-1-10000000000-11003-3000000000000000000000000
χ5744-44-24-44-200-200-4222-24-4-220000000000000-22000004000-4000000000000-200000002000000000
χ5844-44-24-44-200-200-4222-24-4-220000000000000-2200000-4000400000000000020000000-2000000000
χ5944-44-2-444-200-200-4222-2-442-200000000000002-200004000-4000000000000-2000000020000000000
χ6044-44-2-444-200-200-4222-2-442-200000000000002-20000-4000400000000000020000000-20000000000
χ6144-4-244-4-2400-2002-422-2-224-40000000000000-220004000-4000000000000-20000000200000000000
χ6244-4-244-4-2400-2002-422-2-224-40000000000000-22000-4000400000000000020000000-200000000000
χ6344-4-24-44-2400-2002-422-22-2-4400000000000002-2004000-4000000000000-200000002000000000000
χ6444-4-24-44-2400-2002-422-22-2-4400000000000002-200-4000400000000000020000000-2000000000000
χ654-404400-4-40042i−2i0000-40000000002i−2i2i−2i2i−2i2i−2i004i−4i00000000000000000000000000000002-200000
χ664-404400-4-40042i−2i0000-40000000002i−2i2i−2i2i−2i2i−2i00−4i4i0000000000000000000000000000000-2200000
χ674-404400-4-4004−2i2i0000-4000000000−2i2i−2i2i−2i2i−2i2i004i−4i0000000000000000000000000000000-2200000
χ684-404400-4-4004−2i2i0000-4000000000−2i2i−2i2i−2i2i−2i2i00−4i4i00000000000000000000000000000002-200000
χ6988-8-4-48-8-4-40020044-2-22-44-4400000000000002-20000000000000000000000000000000000000000
χ7088-8-4-4-88-4-40020044-2-224-44-40000000000000-220000000000000000000000000000000000000000
χ718-808-400-8400-44i−4i000040000000004i−4i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ728-808-400-8400-4−4i4i00004000000000−4i4i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ738-80-48004-800-44i−4i00004000000000−2i2i4i−4i−2i2i−2i2i000000000000000000000000000000000000000000
χ748-80-48004-800-4−4i4i000040000000002i−2i−4i4i2i−2i2i−2i000000000000000000000000000000000000000000
χ758-80-4-400440024i−4i006-6-2000000000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000000000000000000
χ768-80-4-400440024i−4i00-66-2000000000−2i2i−2i2i−2i2i4i−4i000000000000000000000000000000000000000000
χ778-80-4-40044002−4i4i006-6-20000000002i−2i2i−2i−4i4i2i−2i000000000000000000000000000000000000000000
χ788-80-4-40044002−4i4i00-66-20000000002i−2i2i−2i2i−2i−4i4i000000000000000000000000000000000000000000

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