Finite Group Databasebeta

← Group #72339101

Character table — Group #72339101

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11222444444888816161616161616161616161616163232323232323232323232323232323232323264646464646464646464128128128128
order12222224444444422222244444444222244444444488888844488888884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-11-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111-11-1111111-1-1-1-1-1-1-1-1-11-11-11-1-1-1-111-1-1
χ41111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1111-11-11-1-1-1-1-1-1-111
χ511111111111111111111111-1-1-1-111-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-111-1-11-11-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-111-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111-1-111
χ811111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111-11-11-1111111-1-1
χ911111111111-1-1111-1-1-111-1-111-1-1111-11111-111-1-1-1-111-1-1-1-1-1-11-11111-1-11-11-1
χ1011111111111-1-1111-1-1-111-1-111-1-1111-11-11-1-111-1-1-1-111-1-11111-11-1-111-1-1-11-11
χ1111111111111-1-1111-1-1-111-1-111-1-1111-1-11-11-111-1-111-1-111111-1-1-1-11-1-1111-1-11
χ1211111111111-1-1111-1-1-111-1-111-1-1111-1-1-1-1-1-111-1-111-1-111-1-1-11111-1-1-111-111-1
χ1311111111111-1-1111-1-1-111-1-1-1-11111-111111-1-1-111-1-111-1-1-1-1-1-11-111-1-111-11-11
χ1411111111111-1-1111-1-1-111-1-1-1-11111-111-11-1-1-1-111-1-111-1-11111-11-1-1-1-1111-11-1
χ1511111111111-1-1111-1-1-111-1-1-1-11111-11-11-11-1-1-11111-1-111111-1-1-1-1111-1-1-111-1
χ1611111111111-1-1111-1-1-111-1-1-1-11111-11-1-1-1-1-1-1-11111-1-111-1-1-11111-111-1-11-1-11
χ172222222222222222222-2-2-2-20000-2-2002020-2000022-2-2-2-20000000000000000
χ182222222222222222222-2-2-2-20000-2-200-20-20-20000-2-222220000000000000000
χ192222222222222-2-2-22-2-222-2-20000-2-200020220000000000000-2020-200000000
χ202222222222222-2-2-22-2-222-2-20000-2-2000-20-22000000000000020-20200000000
χ212222222222222-2-2-22-2-2-2-222000022000000-2000000000022-2020-2000000000
χ222222222222222-2-2-22-2-2-2-222000022000000-20000000000-2-220-202000000000
χ2322222222222-2-2222-2-2-2-2-2220000-2-200202020000-2-2-2-2220000000000000000
χ2422222222222-2-2222-2-2-2-2-2220000-2-200-20-20200002222-2-20000000000000000
χ2522222222222-2-2-2-2-2-22222220000-2-2000202-2000000000000020-20-200000000
χ2622222222222-2-2-2-2-2-22222220000-2-2000-20-2-20000000000000-2020200000000
χ2722222222222-2-2-2-2-2-222-2-2-2-20000220000002000000000022-20-202000000000
χ2822222222222-2-2-2-2-2-222-2-2-2-200002200000020000000000-2-22020-2000000000
χ2922222-2-2-2-2220022-20002-20000222-20-200000002-22-2002-2000000002-2000000
χ3022222-2-2-2-2220022-20002-20000222-20-200000002-2-2200-2200000000-22000000
χ3122222-2-2-2-2220022-20002-20000-2-22-2020000000-222-2002-200000000-22000000
χ3222222-2-2-2-2220022-20002-20000-2-22-2020000000-22-2200-22000000002-2000000
χ3322222-2-2-2-2220022-2000-22002200-22-20000002-2002-200-2200000000002-20000
χ3422222-2-2-2-2220022-2000-22002200-22-20000002-200-22002-20000000000-220000
χ3522222-2-2-2-2220022-2000-2200-2-200-222000000-22002-200-220000000000-220000
χ3622222-2-2-2-2220022-2000-2200-2-200-222000000-2200-22002-200000000002-20000
χ374444444-4-4-4-40000004-400002222002200000-2-2-2-20000000000000000000000
χ384444444-4-4-4-40000004-40000-2-2-2-200-2-20000022220000000000000000000000
χ394444444-4-4-4-4000000-44000022-2-2002-200000-2-2220000000000000000000000
χ404444444-4-4-4-4000000-440000-2-22200-220000022-2-20000000000000000000000
χ4144444-4-444-4-444000-4000000222200-2-200000-22-220000000000000000000000
χ4244444-4-444-4-444000-4000000-2-2-2-20022000002-22-20000000000000000000000
χ4344444-4-444-4-4-4-4000400000022-2-200-2200000-222-20000000000000000000000
χ4444444-4-444-4-4-4-40004000000-2-222002-2000002-2-220000000000000000000000
χ4544444-4-4-4-44400-4-440004-4000000-44000000000000000000000000000000000
χ4644444-4-4-4-44400-4-44000-440000004-4000000000000000000000000000000000
χ47888-8-88-80000000000000000000000000000000000000004i−4i00000000000000
χ48888-8-88-8000000000000000000000000000000000000000−4i4i00000000000000
χ49888-8-8-88000000000000000000000000040-4000000000000000000000000000
χ50888-8-8-880000000000000000000000000-404000000000000000000000000000
χ5188-88-800008-800000000000000000000000000000004-4000000000000000000
χ5288-88-800008-80000000000000000000000000000000-44000000000000000000
χ5388-88-80000-88008-800000000000000000000000000000000000000000000000
χ5488-88-80000-8800-8800000000000000000000000000000000000000000000000
χ5588-8-88008-8000000000000000000000040-40000000000000000000000000000
χ5688-8-88008-80000000000000000000000-4040000000000000000000000000000
χ5788-8-8800-88008-80000000000000000000000000000000000000000000000000
χ5888-8-8800-8800-880000000000000000000000000000000000000000000000000
χ5916-1600000000000000000004-44-44-400000000000000000000000000000000000
χ6016-1600000000000000000004-4-44-4400000000000000000000000000000000000
χ6116-160000000000000000000-444-4-4400000000000000000000000000000000000
χ6216-160000000000000000000-44-444-400000000000000000000000000000000000

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