Finite Group Databasebeta

← Group #72234076

Character table — Group #72234076

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244444444888888888888881616161616161616161632323232323232323232323232323232323232323232
order1222222222224444442222222444444422224444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
χ91111111111-1-11111-1-1-1-11111-11111-1-1-1-1-1111111-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−i
χ101111111111-1-11111-1-1-1-11111-11111-1-1-1-1-1111111-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii
χ111111111111-1-11111-1-1-1-11111-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ121111111111-1-11111-1-1-1-11111-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ131111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ141111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ151111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-11111ii−i−iii−i−i−i−iii−i−iii
χ161111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-11111−i−iii−i−iiiii−i−iii−i−i
χ172222222222222222-2-22-22222-2-2-2-2-22-222200-2-200-2-20000000000000000000000
χ182222222222222222-2-22-2-2-2-2-2-2-2-2-2-22-22-2-2002200220000000000000000000000
χ19222222222222-2-2-2-2222-20000-222-2-2-22-2002200-2-200002-2000000000000000000
χ20222222222222-2-2-2-2222-20000-222-2-2-22-200-2-200220000-22000000000000000000
χ21222222222222-2-2-2-2-2-22200002-2-222-2-2-200000000002-2002-20000000000000000
χ22222222222222-2-2-2-2-2-22200002-2-222-2-2-20000000000-2200-220000000000000000
χ232222222222-2-2222222-2222222-2-2-2-2-22-2-2-200-2-200220000000000000000000000
χ242222222222-2-2222222-22-2-2-2-22-2-2-2-2-22-222002200-2-20000000000000000000000
χ252222222222-2-2-2-2-2-222-2-20000-2-2-22222200000000002-200-220000000000000000
χ262222222222-2-2-2-2-2-222-2-20000-2-2-2222220000000000-22002-20000000000000000
χ272222222222-2-2-2-2-2-2-2-2-220000222-2-22-22002200-2-20000-22000000000000000000
χ282222222222-2-2-2-2-2-2-2-2-220000222-2-22-2200-2-2002200002-2000000000000000000
χ2922222-2-2-22-22222-2-222-220000-22-22-2-2-2200000000000000002-22-2000000000000
χ3022222-2-2-22-22222-2-222-220000-22-22-2-2-220000000000000000-22-22000000000000
χ3122222-2-2-22-22222-2-2-2-2-2-200002-22-22-22200000000000000000000000000002-22-2
χ3222222-2-2-22-22222-2-2-2-2-2-200002-22-22-2220000000000000000000000000000-22-22
χ3322222-2-2-22-222-2-22222-2-2000022-2-222-2-20000000000000000000000002-22-20000
χ3422222-2-2-22-222-2-22222-2-2000022-2-222-2-2000000000000000000000000-22-220000
χ3522222-2-2-22-222-2-222-2-2-220000-2-222-222-2000000000000000000002i−2i2i−2i00000000
χ3622222-2-2-22-222-2-222-2-2-220000-2-222-222-200000000000000000000−2i2i−2i2i00000000
χ3722222-2-2-22-2-2-222-2-222220000-2-22-222-2-200000000000000000000000000002i−2i−2i2i
χ3822222-2-2-22-2-2-222-2-222220000-2-22-222-2-20000000000000000000000000000−2i2i2i−2i
χ3922222-2-2-22-2-2-222-2-2-2-22-2000022-22-222-200000000000000002i−2i−2i2i000000000000
χ4022222-2-2-22-2-2-222-2-2-2-22-2000022-22-222-20000000000000000−2i2i2i−2i000000000000
χ4122222-2-2-22-2-2-2-2-222222-200002-222-2-2-22000000000000000000002-2-2200000000
χ4222222-2-2-22-2-2-2-2-222222-200002-222-2-2-2200000000000000000000-222-200000000
χ4322222-2-2-22-2-2-2-2-222-2-2220000-22-2-22-2220000000000000000000000002i−2i−2i2i0000
χ4422222-2-2-22-2-2-2-2-222-2-2220000-22-2-22-222000000000000000000000000−2i2i2i−2i0000
χ454444-44-4-4-44004-44-4000000000000000000004-400000000000000000000000000
χ464444-44-4-4-44004-44-400000000000000000000-4400000000000000000000000000
χ474444-44-4-4-4400-44-44000044-4-40000000000000000000000000000000000000000
χ484444-44-4-4-4400-44-440000-4-4440000000000000000000000000000000000000000
χ494444-4-444-4-4004-4-440000000000000000000000004-40000000000000000000000
χ504444-4-444-4-4004-4-44000000000000000000000000-440000000000000000000000
χ514444-4-444-4-400-444-400000000000000004-4000000000000000000000000000000
χ524444-4-444-4-400-444-40000000000000000-44000000000000000000000000000000
χ5388-8-808000-800000000000000000000000000004i−4i000000000000000000000000
χ5488-8-808000-80000000000000000000000000000−4i4i000000000000000000000000
χ5588-8-80-800080000000000000000000000004-40000000000000000000000000000
χ5688-8-80-80008000000000000000000000000-440000000000000000000000000000
χ578-88-88000-800000008i−8i0000000000000000000000000000000000000000000000
χ588-88-88000-80000000−8i8i0000000000000000000000000000000000000000000000
χ598-88-8-8000808-80000000000000000000000000000000000000000000000000000
χ608-88-8-800080-880000000000000000000000000000000000000000000000000000
χ618-8-88008-80000000000004-44-40000000000000000000000000000000000000000
χ628-8-88008-8000000000000-44-440000000000000000000000000000000000000000
χ638-8-8800-880000000000004-4-440000000000000000000000000000000000000000
χ648-8-8800-88000000000000-444-40000000000000000000000000000000000000000

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