Finite Group Databasebeta

← Group #72323239

Character table — Group #72323239

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size112224444888881616161616161616323232323232323232323232323232323232646464646464646464646464128128128128
order12222222222222222444442222444444444444444444444444444888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111-11-111-1-1111111111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-111111-1-11
χ51111111111111111111111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11
χ61111111111111111111111-1-11-11-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-11-111-1-11-1-111-1-1-1-1-1-111-1-1-1-11111-111-1
χ81111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9222222222222222-2222-2-2-2000000-200-200000000000022-2-200000000
χ10222222222222222-2222-2-2-2000000-200-2000000000000-2-22200000000
χ1122222222222222-22-2-2-22-2-2000202-20020022000000-2-2000000000000
χ1222222222222222-22-2-2-22-2-2000-20-2-200200-2-200000022000000000000
χ1322222222222222-2-2-2-2-2-222220000200-22200-2-2-2-20000000000000000
χ1422222222222222-2-2-2-2-2-222-2-20000200-2-2-20022220000000000000000
χ15222222222-2-22-2-2222-2-22-2-2000000200-200000000000000000000200-2
χ16222222222-2-22-2-2222-2-22-2-2000000200-200000000000000000000-2002
χ17222222222-2-22-2-22-22-2-2-222000000-20020000000000000000000002-20
χ18222222222-2-22-2-22-22-2-2-222000000-2002000000000000000000000-220
χ19222222222-2-22-2-2-22-222222002020-222-200000000-2-200000000000000
χ20222222222-2-22-2-2-22-22222200-20-20-2-2-2-2000000002200000000000000
χ21222222222-2-22-2-2-2-2-222-2-2-2000000200200000000000000002i2i−2i−2i0000
χ22222222222-2-22-2-2-2-2-222-2-2-200000020020000000000000000−2i−2i2i2i0000
χ234444444-4-400-40004000-4002200000000-2-20022-2-20000000000000000
χ244444444-4-400-40004000-400-2-2000000002200-2-2220000000000000000
χ254444444-4-400-4000-40004002200000000-2-200-2-2220000000000000000
χ264444444-4-400-4000-4000400-2-200000000220022-2-20000000000000000
χ2744444-4-4444-4-44-4000000000020200-2-20000000002-200000000000000
χ2844444-4-4444-4-44-40000000000-20-20022000000000-2200000000000000
χ2944444-4-444-44-4-44000000000020200-2-2000000000-2200000000000000
χ3044444-4-444-44-4-440000000000-20-200220000000002-200000000000000
χ3144444-4-4-4-4004000000004-4000202000000-2-20000002-2000000000000
χ3244444-4-4-4-4004000000004-4000-20-200000022000000-22000000000000
χ3344444-4-4-4-400400000000-44000202000000-2-2000000-22000000000000
χ3444444-4-4-4-400400000000-44000-20-2000000220000002-2000000000000
χ3544-4-44004-40-40040000000000020-20000002-22-22-20000002-200000000
χ3644-4-44004-40-40040000000000020-20000002-2-22-22000000-2200000000
χ3744-4-44004-40-400400000000000-202000000-222-22-2000000-2200000000
χ3844-4-44004-40-400400000000000-202000000-22-22-220000002-200000000
χ3944-4-4400-44-400400000000000020-2000000-222-2-2200002-20000000000
χ4044-4-4400-44-400400000000000020-2000000-22-222-20000-220000000000
χ4144-4-4400-44-4004000000000000-2020000002-22-2-220000-220000000000
χ4244-4-4400-44-4004000000000000-2020000002-2-222-200002-20000000000
χ43888-8-800000000040-400000000000000000000000000000002i−2i2i−2i0000
χ44888-8-800000000040-40000000000000000000000000000000−2i2i−2i2i0000
χ45888-8-8000000000-40400000000000000000000000000000002-2-220000
χ46888-8-8000000000-4040000000000000000000000000000000-222-20000
χ4788-88-80000000000004-400000000004-40000000000000000000000000
χ4888-88-80000000000004-40000000000-440000000000000000000000000
χ4988-88-8000000000000-440000040-400000000000000000000000000000
χ5088-88-8000000000000-4400000-40400000000000000000000000000000
χ5188-8-88008-80800-8000000000000000000000000000000000000000000
χ5288-8-8800-88800-80000000000000000000000000000000000000000000
χ5316-160008-800000000000000000000000004-40000000000000000000000
χ5416-160008-80000000000000000000000000-440000000000000000000000
χ5516-16000-880000000000000004-400000000000000000000000000000000
χ5616-16000-88000000000000000-4400000000000000000000000000000000

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