Finite Group Databasebeta

← Group #72265913

Character table — Group #72265913

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1122244444444448888888888161616161616161616163232323232323232323232323232323232323232323232
order1222222222244442222224444222244444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222-2-2-2-2-2-222-2-222-2-200220000002-2-200000000000000000000
χ1822222222222-2-2-2-2-2-222-2-222-2-200-2-2000000-22200000000000000000000
χ1922222222222-2-2-2-2-2-2-2-222-2-2220022000000-22-200000000000000000000
χ2022222222222-2-2-2-2-2-2-2-222-2-22200-2-20000002-2200000000000000000000
χ212222222-2-2-2-222-2-22-2222-2-2-22-200000000000000000000000002-22-20000
χ222222222-2-2-2-222-2-22-2222-2-2-22-20000000000000000000000000-22-220000
χ232222222-2-2-2-222-2-22-2-2-2-2222-2200000000000000000000000002i−2i−2i2i0000
χ242222222-2-2-2-222-2-22-2-2-2-2222-220000000000000000000000000−2i2i2i−2i0000
χ252222222-2-2-2-2-2-222-2222-22-2-2-22000000000000000002-22-2000000000000
χ262222222-2-2-2-2-2-222-2222-22-2-2-2200000000000000000-22-22000000000000
χ272222222-2-2-2-2-2-222-22-2-22-2222-2000000000000000002i−2i−2i2i000000000000
χ282222222-2-2-2-2-2-222-22-2-22-2222-200000000000000000−2i2i2i−2i000000000000
χ2922222-2-222-2-222-2-2-222-2222-2-2-2000000000000000000000000000002-22-2
χ3022222-2-222-2-222-2-2-222-2222-2-2-200000000000000000000000000000-22-22
χ3122222-2-222-2-222-2-2-22-22-2-2-2222000000000000000000000000000002i−2i−2i2i
χ3222222-2-222-2-222-2-2-22-22-2-2-222200000000000000000000000000000−2i2i2i−2i
χ3322222-2-222-2-2-2-2222-22-2-2-22-2220000000000000000000002i−2i2i−2i00000000
χ3422222-2-222-2-2-2-2222-22-2-2-22-222000000000000000000000−2i2i−2i2i00000000
χ3522222-2-222-2-2-2-2222-2-2222-22-2-20000000000000000000002-2-2200000000
χ3622222-2-222-2-2-2-2222-2-2222-22-2-2000000000000000000000-222-200000000
χ3722222-2-2-2-2222222-2-22-22-2-22-222-2002-222-2-200000000000000000000000
χ3822222-2-2-2-2222222-2-22-22-2-22-22-2200-22-2-22200000000000000000000000
χ3922222-2-2-2-2222222-2-2-22-222-22-22-2002-2-2-22200000000000000000000000
χ4022222-2-2-2-2222222-2-2-22-222-22-2-2200-2222-2-200000000000000000000000
χ4122222-2-2-2-222-2-2-2-2222-2-22-222-200000000000002-22-20000000000000000
χ4222222-2-2-2-222-2-2-2-2222-2-22-222-20000000000000-22-220000000000000000
χ4322222-2-2-2-222-2-2-2-222-222-22-2-2200000000000002-2-220000000000000000
χ4422222-2-2-2-222-2-2-2-222-222-22-2-220000000000000-222-20000000000000000
χ4544-4-4400004-44-44-40000000000000000004-400000000000000000000000
χ4644-4-4400004-44-44-4000000000000000000-4400000000000000000000000
χ4744-4-4400004-4-44-4400000000000000004-40000000000000000000000000
χ4844-4-4400004-4-44-440000000000000000-440000000000000000000000000
χ4944-4-440000-444-4-44000000000004000-4000000000000000000000000000
χ5044-4-440000-444-4-4400000000000-40004000000000000000000000000000
χ5144-4-440000-44-444-400000000004000-40000000000000000000000000000
χ5244-4-440000-44-444-40000000000-400040000000000000000000000000000
χ53888-8-8008-80000000000000000000000000000000000000000000000000
χ54888-8-800-880000000000000000000000000000000000000000000000000
χ5588-88-88-8000000000000000000000000000000000000000000000000000
χ5688-88-8-88000000000000000000000000000000000000000000000000000
χ5716-1600000000000000000000000004-400000000000000000000000000000
χ5816-160000000000000000000000000-4400000000000000000000000000000

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