Finite Group Databasebeta

← Group #118296

Character table — Group #118296

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222222224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ911-11-1-11-111-1-11-1-11111-1-1-11-1ii−i−iii−i−i1-1i−i1-1i−iii−i−i11-1-1ii−i−i11-1-1
χ1011-11-1-11-111-1-11-1-11111-1-1-11-1ii−i−iii−i−i1-1−ii1-1−ii−i−iii-1-111ii−i−i-1-111
χ1111-11-1-11-111-1-11-1-11111-1-1-11-1ii−i−iii−i−i-11i−i-11i−i−i−iii-1-111−i−iii11-1-1
χ1211-11-1-11-111-1-11-1-11111-1-1-11-1ii−i−iii−i−i-11−ii-11−iiii−i−i11-1-1−i−iii-1-111
χ1311-11-1-11-111-1-11-1-11111-1-1-11-1−i−iii−i−iii1-1i−i1-1i−iii−i−i-1-111−i−iii-1-111
χ1411-11-1-11-111-1-11-1-11111-1-1-11-1−i−iii−i−iii1-1−ii1-1−ii−i−iii11-1-1−i−iii11-1-1
χ1511-11-1-11-111-1-11-1-11111-1-1-11-1−i−iii−i−iii-11i−i-11i−i−i−iii11-1-1ii−i−i-1-111
χ1611-11-1-11-111-1-11-1-11111-1-1-11-1−i−iii−i−iii-11−ii-11−iiii−i−i-1-111ii−i−i11-1-1
χ172222222222222222-2-2-2-2-2-2-2-200000000000000002-22-2000000000000
χ182222222222222222-2-2-2-2-2-2-2-20000000000000000-22-22000000000000
χ19222222222222-2-2-2-222-22-2-2-22000000002200-2-2000000000000000000
χ20222222222222-2-2-2-222-22-2-2-2200000000-2-20022000000000000000000
χ21222222222222-2-2-2-2-2-22-2222-200000000002200-2-20000000000000000
χ22222222222222-2-2-2-2-2-22-2222-20000000000-2-200220000000000000000
χ2322222222-2-2-2-222-2-22-2222-2-2-2000000000000000000002i−2i2i−2i00000000
χ2422222222-2-2-2-222-2-22-2222-2-2-200000000000000000000−2i2i−2i2i00000000
χ2522222222-2-2-2-222-2-2-22-2-2-22222222-2-2-2-2000000000000000000000000
χ2622222222-2-2-2-222-2-2-22-2-2-2222-2-2-2-22222000000000000000000000000
χ2722222222-2-2-2-2-2-2222-2-22-222-200000000000000000000000000002-22-2
χ2822222222-2-2-2-2-2-2222-2-22-222-20000000000000000000000000000-22-22
χ2922222222-2-2-2-2-2-222-222-22-2-220000000000000000000000002-22-20000
χ3022222222-2-2-2-2-2-222-222-22-2-22000000000000000000000000-22-220000
χ3122-22-2-22-222-2-22-2-22-2-2-2222-2200000000000000002i−2i−2i2i000000000000
χ3222-22-2-22-222-2-22-2-22-2-2-2222-220000000000000000−2i2i2i−2i000000000000
χ3322-22-2-22-222-2-2-222-222-2-222-2-2000000002-200-22000000000000000000
χ3422-22-2-22-222-2-2-222-222-2-222-2-200000000-22002-2000000000000000000
χ3522-22-2-22-222-2-2-222-2-2-222-2-22200000000002i−2i00−2i2i0000000000000000
χ3622-22-2-22-222-2-2-222-2-2-222-2-2220000000000−2i2i002i−2i0000000000000000
χ3722-22-2-22-2-2-2222-22-22-22-2-22-22000000000000000000002i−2i−2i2i00000000
χ3822-22-2-22-2-2-2222-22-22-22-2-22-2200000000000000000000−2i2i2i−2i00000000
χ3922-22-2-22-2-2-2222-22-2-22-222-22-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4022-22-2-22-2-2-2222-22-2-22-222-22-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4122-22-2-22-2-2-222-22-222-2-2-22-22200000000000000000000000000002-2-22
χ4222-22-2-22-2-2-222-22-222-2-2-22-2220000000000000000000000000000-222-2
χ4322-22-2-22-2-2-222-22-22-2222-22-2-20000000000000000000000002i−2i−2i2i0000
χ4422-22-2-22-2-2-222-22-22-2222-22-2-2000000000000000000000000−2i2i2i−2i0000
χ454-44-44-44-44-44-40000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ464-44-44-44-44-44-4000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ474-44-44-44-4-44-440000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ484-44-44-44-4-44-44000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ494-4-4-4-44444-4-440000000000002-2-222-2-22000000000000000000000000
χ504-4-4-4-44444-4-44000000000000-222-2-222-2000000000000000000000000
χ514-4-4-4-4444-444-40000000000002-2-22-222-2000000000000000000000000
χ524-4-4-4-4444-444-4000000000000-222-22-2-22000000000000000000000000
χ53888-8-8-8-88000000000000000000000000000000000000000000000000
χ5488-8-888-8-8000000000000000000000000000000000000000000000000
χ558-888-88-8-8000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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