Finite Group Databasebeta

← Group #72238385

Character table — Group #72238385

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size112224488161616161616161616161616323232323232323232323232323232323264646464128128128128128128128128
order12222222222222444444422444444444444444444448888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1
χ31111111111111111111111-11-111-1-111111111111-1-1-1-111-1-1-1-1
χ41111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111
χ5111111111111111111111-11-11-1-111111111111-1-111-1-1-1-111-1-1
χ6111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-11-1-111-1-111-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1
χ92222222222222-222-2-2-2-2-20000000000000000-200000000002i−2i
χ102222222222222-222-2-2-2-2-20000000000000000-20000000000−2i2i
χ1122222222222-2-22-2-2222-2-20202002200000000-200-2-200000000
χ1222222222222-2-22-2-2222-2-20-20-200-2-200000000-2002200000000
χ1322222222222-2-2-2-2-2-2-2-222000000000000000020000002-20000
χ1422222222222-2-2-2-2-2-2-2-22200000000000000002000000-220000
χ15222222222-2-2222-2-22-2-2222020220000000000-2-2-20000000000
χ16222222222-2-2222-2-22-2-222-20-20-2-20000000000-2220000000000
χ17222222222-2-222-2-2-2-222-2-200000000000000002000000002-200
χ18222222222-2-222-2-2-2-222-2-20000000000000000200000000-2200
χ19222222222-2-2-2-22222-2-2-2-20000000000000000200002-2000000
χ20222222222-2-2-2-22222-2-2-2-2000000000000000020000-22000000
χ21222222222-2-2-2-2-222-22222000000002222-2-2-2-2-2000000000000
χ22222222222-2-2-2-2-222-2222200000000-2-2-2-22222-2000000000000
χ234444444-4-40000400-400000000000022-2-222-2-20000000000000
χ244444444-4-40000400-4000000000000-2-222-2-2220000000000000
χ254444444-4-40000-400400000000000022-2-2-2-2220000000000000
χ264444444-4-40000-4004000000000000-2-22222-2-20000000000000
χ2744444-4-44-400000000004-4020200-2-2000000000002-200000000
χ2844444-4-44-400000000004-40-20-2002200000000000-2200000000
χ2944444-4-44-40000000000-44020200-2-200000000000-2200000000
χ3044444-4-44-40000000000-440-20-20022000000000002-200000000
χ3144444-4-4-44000000004-4002020-2-2000000000002-20000000000
χ3244444-4-4-44000000004-400-20-202200000000000-220000000000
χ3344444-4-4-4400000000-44002020-2-200000000000-220000000000
χ3444444-4-4-4400000000-4400-20-2022000000000002-20000000000
χ35888-8-80000000004-400000000000000000004i−4i0000000000000
χ36888-8-80000000004-40000000000000000000−4i4i0000000000000
χ37888-8-8000000000-44000000000000000004i−4i000000000000000
χ38888-8-8000000000-4400000000000000000−4i4i000000000000000
χ3988-88-80000004-40000000000004-400000000000000000000000
χ4088-88-80000004-4000000000000-4400000000000000000000000
χ4188-88-8000000-440000000040-400000000000000000000000000
χ4288-88-8000000-4400000000-40400000000000000000000000000
χ4388-8-8800004-400000000000000004-4000000000000000000000
χ4488-8-8800004-40000000000000000-44000000000000000000000
χ4588-8-880000-440000000000040-40000000000000000000000000
χ4688-8-880000-4400000000000-4040000000000000000000000000
χ4716-160008-80000000000000000000000004i−4i00000000000000000
χ4816-160008-8000000000000000000000000−4i4i00000000000000000
χ4916-16000-8800000000000000000000004-40000000000000000000
χ5016-16000-880000000000000000000000-440000000000000000000

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