Finite Group Databasebeta

← Group #72262495

Character table — Group #72262495

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size112224444888881616161616161616323232323232323232323232323232323232646464646464646464646464128128128128
order12222222224444222224442244444444444444444444444488884888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111-11-1111111-1-1111111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ51111111111111111111111-11-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-11-1111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ922222222222222222-22-2-2-20000-2-20000000000000000000022-2-20000
χ1022222222222222222-22-2-2-20000-2-200000000000000000000-2-2220000
χ1122222222222222-2-2-22-22-2-220202-222000000000000-2-2000000000000
χ1222222222222222-2-2-22-22-2-2-20-202-2-2-200000000000022000000000000
χ1322222222222222-2-2-2-2-2-2220000-2200220022-2-2-2-20000000000000000
χ1422222222222222-2-2-2-2-2-2220000-2200-2-200-2-222220000000000000000
χ152222222222-2-2-2-222-22-22220202-2-2000022000000-2-200000000000000
χ162222222222-2-2-2-222-22-22220-20-2-2-20000-2-20000002200000000000000
χ172222222222-2-2-2-222-2-2-2-2-2-200002200000000000000002i2i−2i−2i00000000
χ182222222222-2-2-2-222-2-2-2-2-2-20000220000000000000000−2i−2i2i2i00000000
χ192222222222-2-2-2-2-2-22222-2-20000-220000000000000000000000002-200
χ202222222222-2-2-2-2-2-22222-2-20000-22000000000000000000000000-2200
χ212222222222-2-2-2-2-2-22-22-22200002-2000000000000000000000000002-2
χ222222222222-2-2-2-2-2-22-22-22200002-200000000000000000000000000-22
χ23444444-4-44-4000000040-400000000002200-2-222-2-20000000000000000
χ24444444-4-44-4000000040-40000000000-2-20022-2-2220000000000000000
χ25444444-4-44-40000000-40400000000002200-2-2-2-2220000000000000000
χ26444444-4-44-40000000-4040000000000-2-2002222-2-20000000000000000
χ2744444-444-4-44-44-4000000000202000000-2-20000002-200000000000000
χ2844444-444-4-44-44-4000000000-20-200000022000000-2200000000000000
χ2944444-444-4-4-44-44000000000202000000-2-2000000-2200000000000000
χ3044444-444-4-4-44-44000000000-20-2000000220000002-200000000000000
χ3144444-4-4-4-4400000000004-4202000-2-20000000000002-2000000000000
χ3244444-4-4-4-4400000000004-4-20-200022000000000000-22000000000000
χ3344444-4-4-4-440000000000-44202000-2-2000000000000-22000000000000
χ3444444-4-4-4-440000000000-44-20-2000220000000000002-2000000000000
χ35444-4-404-400040-40000000020-20002-20000002i−2i2i−2i00000000002i−2i0000
χ36444-4-404-400040-40000000020-20002-2000000−2i2i−2i2i0000000000−2i2i0000
χ37444-4-404-400040-400000000-202000-220000002i−2i2i−2i0000000000−2i2i0000
χ38444-4-404-400040-400000000-202000-22000000−2i2i−2i2i00000000002i−2i0000
χ39444-4-40-440040-400000000020-2000-220000002i−2i−2i2i000000002i−2i000000
χ40444-4-40-440040-400000000020-2000-22000000−2i2i2i−2i00000000−2i2i000000
χ41444-4-40-440040-4000000000-2020002-20000002i−2i−2i2i00000000−2i2i000000
χ42444-4-40-440040-4000000000-2020002-2000000−2i2i2i−2i000000002i−2i000000
χ43888-8-808-8000-808000000000000000000000000000000000000000000
χ44888-8-80-8800-8080000000000000000000000000000000000000000000
χ4588-88-80000000000040-400000000000000000000000002i−2i2i−2i00000000
χ4688-88-80000000000040-40000000000000000000000000−2i2i−2i2i00000000
χ4788-88-800000000000-40400000000000000000000000002-2-2200000000
χ4888-88-800000000000-4040000000000000000000000000-222-200000000
χ4988-8-880000000004-400000000000000004-40000000000000000000000
χ5088-8-880000000004-40000000000000000-440000000000000000000000
χ5188-8-88000000000-44000000040-4000000000000000000000000000000
χ5288-8-88000000000-440000000-404000000000000000000000000000000
χ5316-16000800-80000000000000000000004i−4i000000000000000000000000
χ5416-16000800-8000000000000000000000−4i4i000000000000000000000000
χ5516-16000-800800000000000000000000000004-400000000000000000000
χ5616-16000-80080000000000000000000000000-4400000000000000000000

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