Finite Group Databasebeta

← Group #72323240

Character table — Group #72323240

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size112224444888881616161616161616161616163232323232323232323232326464646464646464646464646464128128128128
order12222222222222222444444444224444444444444444444444444888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-11111-1-11111-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-11-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11
χ51111111111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11
χ61111111111111111111-1-1-1-11111-11-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1
χ71111111111111111111-1-1-1-1111-11-1111-1-111-1-1-1-111-1-111111111-1-1-1-1
χ81111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9222222222222222-22220000-2-2-20000-2-200000000000022-2-200000000
χ10222222222222222-22220000-2-2-20000-2-2000000000000-2-22200000000
χ1122222222222222-22-2-2-200002-2-220202-22200000000-2-2000000000000
χ1222222222222222-22-2-2-200002-2-2-20-202-2-2-20000000022000000000000
χ1322222222222222-2-2-2-2-22222-2220000-22000022-2-20000000000000000
χ1422222222222222-2-2-2-2-2-2-2-2-2-2220000-220000-2-2220000000000000000
χ15222222222-2-22-2-2222-2-200002-2-20000-2200000000000000000000200-2
χ16222222222-2-22-2-2222-2-200002-2-20000-2200000000000000000000-2002
χ17222222222-2-22-2-22-22-2-20000-22200002-20000000000000000000002-20
χ18222222222-2-22-2-22-22-2-20000-22200002-2000000000000000000000-220
χ19222222222-2-22-2-2-22-22200002220202-2-200220000-2-200000000000000
χ20222222222-2-22-2-2-22-22200002220-20-2-2-200-2-200002200000000000000
χ21222222222-2-22-2-2-2-2-2220000-2-2-200002200000000000000002i2i−2i−2i0000
χ22222222222-2-22-2-2-2-2-2220000-2-2-20000220000000000000000−2i−2i2i2i0000
χ23444444-4-4400-400040002222-4000000000000-2-22-20000000000000000
χ24444444-4-4400-40004000-2-2-2-2-400000000000022-220000000000000000
χ25444444-4-4400-4000-400022224000000000000-2-2-220000000000000000
χ26444444-4-4400-4000-4000-2-2-2-24000000000000222-20000000000000000
χ2744444-444-44-4-44-400000000000002020000-2-200002-200000000000000
χ2844444-444-44-4-44-40000000000000-20-20000220000-2200000000000000
χ2944444-444-4-44-4-4400000000000002020000-2-20000-2200000000000000
χ3044444-444-4-44-4-440000000000000-20-200002200002-200000000000000
χ3144444-4-4-4-40040000000000004-4202000-2-2000000002-2000000000000
χ3244444-4-4-4-40040000000000004-4-20-20002200000000-22000000000000
χ3344444-4-4-4-4004000000000000-44202000-2-200000000-22000000000000
χ3444444-4-4-4-4004000000000000-44-20-200022000000002-2000000000000
χ35444-4-404-400400-4000002i2i−2i−2i00020-20002-2002i−2i000000002i−2i00000000
χ36444-4-404-400400-4000002i2i−2i−2i000-202000-22002i−2i00000000−2i2i00000000
χ37444-4-404-400400-400000−2i−2i2i2i00020-20002-200−2i2i00000000−2i2i00000000
χ38444-4-404-400400-400000−2i−2i2i2i000-202000-2200−2i2i000000002i−2i00000000
χ39444-4-40-440400-40000002i2i−2i−2i00020-2000-2200−2i2i0000002i−2i0000000000
χ40444-4-40-440400-40000002i2i−2i−2i000-2020002-200−2i2i000000−2i2i0000000000
χ41444-4-40-440400-4000000−2i−2i2i2i00020-2000-22002i−2i000000−2i2i0000000000
χ42444-4-40-440400-4000000−2i−2i2i2i000-2020002-2002i−2i0000002i−2i0000000000
χ43888-8-808-800-8008000000000000000000000000000000000000000000
χ44888-8-80-880-80080000000000000000000000000000000000000000000
χ4588-88-800000000040-400000000000000000000000000000002i−2i2i−2i0000
χ4688-88-800000000040-40000000000000000000000000000000−2i2i−2i2i0000
χ4788-88-8000000000-40400000000000000000000000000000002-2-220000
χ4888-88-8000000000-4040000000000000000000000000000000-222-20000
χ4988-8-880000000000004-40000000000000004-400000000000000000000
χ5088-8-880000000000004-4000000000000000-4400000000000000000000
χ5188-8-88000000000000-440000000040-400000000000000000000000000
χ5288-8-88000000000000-4400000000-40400000000000000000000000000
χ5316-16000800-800000000004i−4i4i−4i000000000000000000000000000000000
χ5416-16000800-80000000000−4i4i−4i4i000000000000000000000000000000000
χ5516-16000-800800000000004-4-44000000000000000000000000000000000
χ5616-16000-80080000000000-444-4000000000000000000000000000000000

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