Finite Group Databasebeta

← Group #72262536

Character table — Group #72262536

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size112224444888881616161616161616161616163232323232323232323232326464646464646464646464646464128128128128
order12222222224444222224444444224444444444244444444488884888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-11-111-1-11111111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-11-1-11
χ51111111111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11
χ61111111111111111111-1-1-1-11111-11-11111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ71111111111111111111-1-1-1-1111-11-111-1-1111-1-1-1-1-1-1111111-1-1-1-1-111-1
χ81111111111111111111-1-1-1-1111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ922222222222222222-220000-2-2-20000-200-20000000000000022-2-20000
χ1022222222222222222-220000-2-2-20000-200-200000000000000-2-2220000
χ1122222222222222-2-2-22-200002-2-20202-200222000000-2-2000000000000
χ1222222222222222-2-2-22-200002-2-20-20-2-2002-2-200000022000000000000
χ1322222222222222-2-2-2-2-22222-2220000200-20022-2-20000000000000000
χ1422222222222222-2-2-2-2-2-2-2-2-2-2220000200-200-2-2220000000000000000
χ152222222222-2-2-2-222-22-200002222020-222-2000000-2-200000000000000
χ162222222222-2-2-2-222-22-20000222-20-20-2-2-2-20000002200000000000000
χ172222222222-2-2-2-222-2-2-20000-2-2-20000200200000000002i2i−2i−2i00000000
χ182222222222-2-2-2-222-2-2-20000-2-2-2000020020000000000−2i−2i2i2i00000000
χ192222222222-2-2-2-2-2-222200002-2-20000200-2000000000000000000200-2
χ202222222222-2-2-2-2-2-222200002-2-20000200-2000000000000000000-2002
χ212222222222-2-2-2-2-2-22-220000-2220000-200200000000000000000002-20
χ222222222222-2-2-2-2-2-22-220000-2220000-20020000000000000000000-220
χ234444444-4-4-40000000402222-4000000000000-2-22-20000000000000000
χ244444444-4-4-4000000040-2-2-2-2-400000000000022-220000000000000000
χ254444444-4-4-40000000-4022224000000000000-2-2-220000000000000000
χ264444444-4-4-40000000-40-2-2-2-24000000000000222-20000000000000000
χ2744444-4-444-44-44-400000000000020200-2-200000002-200000000000000
χ2844444-4-444-44-44-4000000000000-20-200220000000-2200000000000000
χ2944444-4-444-4-44-4400000000000020200-2-20000000-2200000000000000
χ3044444-4-444-4-44-44000000000000-20-2002200000002-200000000000000
χ3144444-4-4-4-44000000000000004-402020000-2-20000002-2000000000000
χ3244444-4-4-4-44000000000000004-40-20-2000022000000-22000000000000
χ3344444-4-4-4-4400000000000000-4402020000-2-2000000-22000000000000
χ3444444-4-4-4-4400000000000000-440-20-20000220000002-2000000000000
χ3544-4-44004-400-4040000022-2-2000020-200002-22-20000000000002-20000
χ3644-4-44004-400-4040000022-2-20000-2020000-222-2000000000000-220000
χ3744-4-44004-400-40400000-2-222000020-200002-2-22000000000000-220000
χ3844-4-44004-400-40400000-2-2220000-2020000-22-220000000000002-20000
χ3944-4-4400-440-40400000022-2-2000020-20000-22-2200000000002-2000000
χ4044-4-4400-440-40400000022-2-20000-20200002-2-220000000000-22000000
χ4144-4-4400-440-404000000-2-222000020-20000-222-20000000000-22000000
χ4244-4-4400-440-404000000-2-2220000-20200002-22-200000000002-2000000
χ43888-8-80000000000040-400000000000000000000000002i−2i2i−2i00000000
χ44888-8-80000000000040-40000000000000000000000000−2i2i−2i2i00000000
χ45888-8-800000000000-40400000000000000000000000002-2-2200000000
χ46888-8-800000000000-4040000000000000000000000000-222-200000000
χ4788-88-80000000004-40000000000000004-400000000000000000000000
χ4888-88-80000000004-4000000000000000-4400000000000000000000000
χ4988-88-8000000000-44000000000040-4000000000000000000000000000
χ5088-88-8000000000-440000000000-404000000000000000000000000000
χ5188-8-88008-80080-8000000000000000000000000000000000000000000
χ5288-8-8800-88080-80000000000000000000000000000000000000000000
χ5316-160008-80000000000004-44-4000000000000000000000000000000000
χ5416-160008-8000000000000-44-44000000000000000000000000000000000
χ5516-16000-880000000000004-4-44000000000000000000000000000000000
χ5616-16000-88000000000000-444-4000000000000000000000000000000000

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