Finite Group Databasebeta

← Group #72316537

Character table — Group #72316537

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112224444448888888888881616161616161616161632323232323232323232326464646464646464646464646464128128128128
order12222222222222222222222244444444422444444444444444444444444888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-11111-1-111111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-11-1111-1-111111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-11-11111-1-11-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11-11-1111-1-1111-1-1-1-1111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-1-1-11111111111-1-1
χ922222222222222222222222-222222222-20000-2-20000-2-2-20000000000000000
χ1022222222222222222222222-2-2-2-2-2-2-2-2-2-20000-2-20000-2220000000000000000
χ11222222222222222-2-2-2-2-2-2-2-220000000020000-2-200002000000000000002-200
χ12222222222222222-2-2-2-2-2-2-2-220000000020000-2-20000200000000000000-2200
χ13222222222222222-2-2-2-2-2-2-2-2-200000000-20000220000-200000000000000002i−2i
χ14222222222222222-2-2-2-2-2-2-2-2-200000000-20000220000-20000000000000000−2i2i
χ1522222222222-2-2-2-222-2-222-2-2200000000202022-20022-20000-2-2000000000000
χ1622222222222-2-2-2-222-2-222-2-220000000020-20-22-200-2-2-2000022000000000000
χ1722222222222-2-2-2-222-2-222-2-2-200000000-20000-2200002000000000022-2-20000
χ1822222222222-2-2-2-222-2-222-2-2-200000000-20000-22000020000000000-2-2220000
χ1922222222222-2-2-2-2-2-222-2-22220000000022020-222200-200-2-200000000000000
χ2022222222222-2-2-2-2-2-222-2-2222000000002-20-20-22-2-200-2002200000000000000
χ2122222222222-2-2-2-2-2-222-2-222-200000000-200002-20000200000022-2-200000000
χ2222222222222-2-2-2-2-2-222-2-222-200000000-200002-200002000000-2-22200000000
χ234444444-4-4-4-400000000000042222-2-2-2-2-4000000000002-20000000000000000
χ244444444-4-4-4-40000000000004-2-2-2-22222-400000000000-220000000000000000
χ254444444-4-4-4-4000000000000-42222-2-2-2-2400000000000-220000000000000000
χ264444444-4-4-4-4000000000000-4-2-2-2-222224000000000002-20000000000000000
χ2744444-4-444-4-40000004-4004-4000000000002020000-2-2000002-2000000000000
χ2844444-4-444-4-40000004-4004-400000000000-20-200002200000-22000000000000
χ2944444-4-444-4-4000000-4400-44000000000002020000-2-200000-22000000000000
χ3044444-4-444-4-4000000-4400-4400000000000-20-2000022000002-2000000000000
χ3144444-4-4-4-44400004-4004-4000000000000202000-2-2000002-200000000000000
χ3244444-4-4-4-44400004-4004-4000000000000-20-20002200000-2200000000000000
χ3344444-4-4-4-4440000-4400-44000000000000202000-2-200000-2200000000000000
χ3444444-4-4-4-4440000-4400-44000000000000-20-200022000002-200000000000000
χ35444-4-400004-4000004000-40002i2i−2i−2i2i2i−2i−2i0020-200002-2000000000002i−2i000000
χ36444-4-400004-4000004000-40002i2i−2i−2i2i2i−2i−2i00-2020000-2200000000000−2i2i000000
χ37444-4-400004-4000004000-4000−2i−2i2i2i−2i−2i2i2i0020-200002-200000000000−2i2i000000
χ38444-4-400004-4000004000-4000−2i−2i2i2i−2i−2i2i2i00-2020000-22000000000002i−2i000000
χ39444-4-40000-4400004000-400002i2i−2i−2i−2i−2i2i2i0020-20000-2200000000000002i−2i0000
χ40444-4-40000-4400004000-400002i2i−2i−2i−2i−2i2i2i00-20200002-20000000000000−2i2i0000
χ41444-4-40000-4400004000-40000−2i−2i2i2i2i2i−2i−2i0020-20000-220000000000000−2i2i0000
χ42444-4-40000-4400004000-40000−2i−2i2i2i2i2i−2i−2i00-20200002-200000000000002i−2i0000
χ4344-44-4004-40000000004000-402i−2i2i−2i2i−2i2i−2i020-20002-20000000002i−2i0000000000
χ4444-44-4004-40000000004000-402i−2i2i−2i2i−2i2i−2i0-202000-22000000000−2i2i0000000000
χ4544-44-4004-40000000004000-40−2i2i−2i2i−2i2i−2i2i020-20002-2000000000−2i2i0000000000
χ4644-44-4004-40000000004000-40−2i2i−2i2i−2i2i−2i2i0-202000-220000000002i−2i0000000000
χ4744-44-400-44000000004000-4002i−2i2i−2i−2i2i−2i2i020-2000-22000000000002i−2i00000000
χ4844-44-400-44000000004000-4002i−2i2i−2i−2i2i−2i2i0-2020002-200000000000−2i2i00000000
χ4944-44-400-44000000004000-400−2i2i−2i2i2i−2i2i−2i020-2000-2200000000000−2i2i00000000
χ5044-44-400-44000000004000-400−2i2i−2i2i2i−2i2i−2i0-2020002-2000000000002i−2i00000000
χ51888-8-800008-800000-8000800000000000000000000000000000000000000000
χ52888-8-80000-880000-80008000000000000000000000000000000000000000000
χ5388-88-8008-8000000000-80008000000000000000000000000000000000000000
χ5488-88-800-8800000000-800080000000000000000000000000000000000000000
χ5588-8-8800000044-4-400000000000004-4-44000000000000000000000000000000
χ5688-8-8800000044-4-40000000000000-444-4000000000000000000000000000000
χ5788-8-88000000-4-4440000000004-4-440000000000000000000000000000000000
χ5888-8-88000000-4-444000000000-444-40000000000000000000000000000000000
χ5916-160008-80000008-800000000000000000000000000000000000000000000000
χ6016-160008-8000000-8800000000000000000000000000000000000000000000000
χ6116-16000-8800008-80000000000000000000000000000000000000000000000000
χ6216-16000-880000-880000000000000000000000000000000000000000000000000

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