Finite Group Databasebeta

← Group #303844

Character table — Group #303844

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222444444444488888888888888888888816161616161616161616161616163232
order12222222444444444444444444488888888888888882222444444888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111
χ511111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-1
χ611111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-111-11111-1-1
χ911111111-1-1-1-11-1-1-1-111111-111111111-1-1-1-11111-1-1-1-11-11-1-11-11-1-111-1-11-1
χ1011111111-1-1-1-11-1-1-1-111111-111111111-1-1-1-11111-1-1-1-1-11-11-1-11-11-1-1-111-11
χ1111111111-1-1-1-11-1-1-1-111111-11111-1-1-1-11111-1-1-1-111111-11-1-11-11-1-1-1-111-11
χ1211111111-1-1-1-11-1-1-1-111111-11111-1-1-1-11111-1-1-1-11111-11-11-1-11-11-111-1-11-1
χ1311111111-1-1-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-11111-1-1-11
χ1411111111-1-1-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11-111-11-1-1111-1
χ1511111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-111-1-1111-1
χ1611111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11-111-1111-1-1-11
χ172222222222222-2-2-2-2-2-2-2-22222-2-20000000000000000000020000-2000000
χ182222222222222-2-2-2-2-2-2-2-222-2-22200000000000000000000-200002000000
χ19222222222222-222-2-222-2-2-2-2000000000000000000000022000-2-20000000
χ20222222222222-222-2-222-2-2-2-20000000000000000000000-2-2000220000000
χ21222222222222-2-2-222-2-222-2-20000000000000000000022000-2-2000000000
χ22222222222222-2-2-222-2-222-2-200000000000000000000-2-200022000000000
χ2322222222-2-2-2-222222-2-2-2-22-222-2-200000000000000000000-200002000000
χ2422222222-2-2-2-222222-2-2-2-22-2-2-2220000000000000000000020000-2000000
χ2522222222-2-2-2-2-222-2-2-2-222-22000000000000000000002-2000-22000000000
χ2622222222-2-2-2-2-222-2-2-2-222-2200000000000000000000-220002-2000000000
χ2722222222-2-2-2-2-2-2-22222-2-2-2200000000000000000000002-2000-220000000
χ2822222222-2-2-2-2-2-2-22222-2-2-220000000000000000000000-220002-20000000
χ2922-2-2-222-20000200002-22-2-202-22-200002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ3022-2-2-222-20000200002-22-2-202-22-20000−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ3122-2-2-222-20000200002-22-2-20-22-2200002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ3222-2-2-222-20000200002-22-2-20-22-220000−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ3322-2-2-222-2000020000-22-22-202-2-222i2i−2i−2i00002i2i−2i−2i00000000000000000000
χ3422-2-2-222-2000020000-22-22-202-2-22−2i−2i2i2i0000−2i−2i2i2i00000000000000000000
χ3522-2-2-222-2000020000-22-22-20-222-22i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ3622-2-2-222-2000020000-22-22-20-222-2−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ374444-4-4-4-444-4-4000000000000000000000000000000000000000002-22-200
χ384444-4-4-4-444-4-400000000000000000000000000000000000000000-22-2200
χ394444-4-4-4-4-4-444000000000000000000000000000000000000000002-2-2200
χ404444-4-4-4-4-4-44400000000000000000000000000000000000000000-222-200
χ4144-4-4-444-40000-400004-4-4440000000000000000000000000000000000000
χ4244-4-4-444-40000-40000-444-440000000000000000000000000000000000000
χ434-44-444-4-4000004-4000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ444-44-444-4-4000004-400000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ454-44-444-4-400000-44000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ464-44-444-4-400000-4400000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ474-44-4-4-44400000004-400000000002-22-22-22-2000000000000000000000000
χ484-44-4-4-44400000004-40000000000-22-22-22-22000000000000000000000000
χ494-44-4-4-4440000000-4400000000002-22-2-22-22000000000000000000000000
χ504-44-4-4-4440000000-440000000000-22-222-22-2000000000000000000000000
χ514-4-444-44-44-44-40000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ524-4-444-44-44-44-4000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ534-4-444-44-4-44-440000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ544-4-444-44-4-44-44000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ554-4-44-44-444-4-44000000000000000000000002-2-222-2-220000000000000000
χ564-4-44-44-444-4-4400000000000000000000000-222-2-222-20000000000000000
χ574-4-44-44-44-444-4000000000000000000000002-2-22-222-20000000000000000
χ584-4-44-44-44-444-400000000000000000000000-222-22-2-220000000000000000
χ5988-8-88-8-88000000000000000000000000000000000000000000000000000

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