Finite Group Databasebeta

← Group #254892

Character table — Group #254892

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222224444444444444444888888882244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111-11-1-1-1-11-1-1-111-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-11111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1111111-1-1-1-1
χ911111111-1-1-1-11-1-1-1-11111111111111-1-1-1-1-11-1-111-11-1-11-11-111-1-111-1-1
χ1011111111-1-1-1-11-1-1-1-11111111111111-1-1-1-1-1-11-1111-1-1-1-11-11-1-111-1-111
χ1111111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-11-1-1-1-1-11111-11-1-1-111-1-111
χ1211111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-11-1-1-11-111-11-1111-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-111
χ1411111111-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-11-1-11-1-11111-111-1-1-11111-1-1
χ1511111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-11-1-11111-1-1
χ1611111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111-1-111111-1-1-111-111-1-1-1-111
χ17222222222222-2-2-2-2-222-2-2-2000000000000002000020000-2-200000000
χ18222222222222-2-2-2-2-222-2-2-200000000000000-20000-200002200000000
χ192222222222-2-2222-2-2-2-2-2-2222-2-200000000-2002000000000000000000
χ202222222222-2-2222-2-2-2-2-2-22-2-22200000000200-2000000000000000000
χ212222222222-2-2-2-2-222-2-222-2000000000000020000-2000-220000000000
χ222222222222-2-2-2-2-222-2-222-20000000000000-2000020002-20000000000
χ2322222222-2-2222-2-222-2-2-2-2222-2-200000000200-2000000000000000000
χ2422222222-2-2222-2-222-2-2-2-22-2-22200000000-2002000000000000000000
χ2522222222-2-222-222-2-2-2-222-20000000000000200002000-2-20000000000
χ2622222222-2-222-222-2-2-2-222-20000000000000-20000-2000220000000000
χ2722222222-2-2-2-2-2222222-2-2-20000000000000020000-200002-200000000
χ2822222222-2-2-2-2-2222222-2-2-200000000000000-2000020000-2200000000
χ292-2-222-22-20000200002-22-2-22-22-200002i2i−2i−2i000000002i−2i000000000000
χ302-2-222-22-20000200002-22-2-22-22-20000−2i−2i2i2i00000000−2i2i000000000000
χ312-2-222-22-20000200002-22-2-2-22-2200002i2i−2i−2i00000000−2i2i000000000000
χ322-2-222-22-20000200002-22-2-2-22-220000−2i−2i2i2i000000002i−2i000000000000
χ332-2-222-22-2000020000-22-22-22-2-222i2i−2i−2i000000002i−2i0000000000000000
χ342-2-222-22-2000020000-22-22-22-2-22−2i−2i2i2i00000000−2i2i0000000000000000
χ352-2-222-22-2000020000-22-22-2-222-22i2i−2i−2i00000000−2i2i0000000000000000
χ362-2-222-22-2000020000-22-22-2-222-2−2i−2i2i2i000000002i−2i0000000000000000
χ3744-4-44-4-44004i−4i000000000000002-22-22i−2i2i−2i0000000000000000000000
χ3844-4-44-4-44004i−4i00000000000000-22-22−2i2i−2i2i0000000000000000000000
χ3944-4-44-4-4400−4i4i000000000000002-22-2−2i2i−2i2i0000000000000000000000
χ4044-4-44-4-4400−4i4i00000000000000-22-222i−2i2i−2i0000000000000000000000
χ414-444-4-4-44000004i−4i0000000000000000000000000000000002-22i−2i0000
χ424-444-4-4-44000004i−4i000000000000000000000000000000000-22−2i2i0000
χ434-444-4-4-4400000−4i4i0000000000000000000000000000000002-2−2i2i0000
χ444-444-4-4-4400000−4i4i000000000000000000000000000000000-222i−2i0000
χ454-44-444-4-400000004i−4i0000000002i−2i−2i2i2-2-220000000000000000000000
χ464-44-444-4-400000004i−4i000000000−2i2i2i−2i-222-20000000000000000000000
χ474-44-444-4-40000000−4i4i0000000002i−2i−2i2i-222-20000000000000000000000
χ484-44-444-4-40000000−4i4i000000000−2i2i2i−2i2-2-220000000000000000000000
χ494-4-444-44-40000-400004-4-4440000000000000000000000000000000000
χ504-4-444-44-40000-40000-444-440000000000000000000000000000000000
χ514-4-4-4-44444-40000000000000000000000000000000000000000002-22-2
χ524-4-4-4-44444-4000000000000000000000000000000000000000000-22-22
χ534-4-4-4-4444-440000000000000000000000000000000000000000002-2-22
χ544-4-4-4-4444-44000000000000000000000000000000000000000000-222-2
χ55888-8-8-88-8000000000000000000000000000000000000000000000000
χ5688-88-88-8-8000000000000000000000000000000000000000000000000

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