Finite Group Databasebeta

← Group #177863

Character table — Group #177863

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222224444444444442244444444442222244444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-111111-1-11-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111-1-111-1-111111-11-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-11-1-1-1-1-11-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-111-1-111-11111-1-11-11-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-1111111111-1-1-1-1
χ911111111-1-11-1-111-1-1-1-111111-1-11111-1-1-1-1111-1-11-1-1-1111-1-111-1-111-1-1
χ1011111111-1-11-1-111-1-1-1-111111-1-11111-1-1-1-11-1-1111-1-1-11-1-111-1-111-1-111
χ1111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-11111-111-1-1111-1-111-1-1-1-111-1-111
χ1211111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-11111-1-1-111111-1-1-1-11111-1-111-1-1
χ1311111111-1-11-1-111-1-1-1-1111-1-11111-1-1-1-111111-1-1-1-111-1-1-11111-1-1-1-111
χ1411111111-1-11-1-111-1-1-1-1111-1-11111-1-1-1-1111-1-111-1-111-111-1-1-1-11111-1-1
χ1511111111-1-11-1-111-1-1-1-1111-1-111-1-11111-1-1-111-1-1-11-111-1-111-1-11111-1-1
χ1611111111-1-11-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-111-11-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-2-2-22-2-20000002200-2-2000000020-2000000000000
χ182222222222222-2-2-2-2-2-22-2-2000000-2-200220000000-202000000000000
χ192222222222-2-2-22-222-2-2-22-200002200-2-200-2000002000000000000000
χ202222222222-2-2-22-222-2-2-22-20000-2-2002200200000-2000000000000000
χ212222222222-2-2-2-22-2-222-2-2222-2-20000000000000-20020000000000000
χ222222222222-2-2-2-22-2-222-2-22-2-2220000000000000200-20000000000000
χ2322222222-2-22-2-2-2-222222-2-20000002200220000000-20-2000000000000
χ2422222222-2-22-2-2-2-222222-2-2000000-2-200-2-20000000202000000000000
χ2522222222-2-2-2222-2-2-222-22-2000022002200-200000-2000000000000000
χ2622222222-2-2-2222-2-2-222-22-20000-2-200-2-2002000002000000000000000
χ2722222222-2-2-222-2222-2-2-2-2222220000000000000-200-20000000000000
χ2822222222-2-2-222-2222-2-2-2-22-2-2-2-2000000000000020020000000000000
χ294444-4-4-4-40004-40000000000000000000000000000000000000002i−2i2i−2i
χ304444-4-4-4-40004-4000000000000000000000000000000000000000−2i2i−2i2i
χ314444-4-4-4-4000-440000000000000000000000000000000000000002i−2i−2i2i
χ324444-4-4-4-4000-44000000000000000000000000000000000000000−2i2i2i−2i
χ3344-4-44-44-40000004000000-4004i−4i000000000000000000000000000000
χ3444-4-44-44-40000004000000-400−4i4i000000000000000000000000000000
χ3544-4-44-44-4000000-400000044-400000000000000000000000000000000
χ3644-4-44-44-4000000-40000004-4400000000000000000000000000000000
χ3744-4-4-44-44000004000000-4000004i−4i0000000000000000000000000000
χ3844-4-4-44-44000004000000-400000−4i4i0000000000000000000000000000
χ3944-4-4-44-4400000-400000040000000004-4000000000000000000000000
χ4044-4-4-44-4400000-40000004000000000-44000000000000000000000000
χ414-44-444-4-400400000000-40000000000004i−4i0000000000000000000000
χ424-44-444-4-400400000000-4000000000000−4i4i0000000000000000000000
χ434-44-444-4-400-4000000004000000004-400000000000000000000000000
χ444-44-444-4-400-400000000400000000-4400000000000000000000000000
χ454-44-4-4-4444-400000000000000000000000002-22-200000000000000000
χ464-44-4-4-4444-40000000000000000000000000-22-2200000000000000000
χ474-44-4-4-444-4400000000000000000000000002-2-2200000000000000000
χ484-44-4-4-444-440000000000000000000000000-222-200000000000000000
χ494-4-444-4-4400000004-400000000000000000000000000000002-22-20000
χ504-4-444-4-4400000004-40000000000000000000000000000000-22-220000
χ514-4-444-4-440000000-4400000000000000000000000000000002-2-220000
χ524-4-444-4-440000000-440000000000000000000000000000000-222-20000
χ534-4-44-444-40000000004-400000000000000000000000002-22-200000000
χ544-4-44-444-40000000004-40000000000000000000000000-22-2200000000
χ554-4-44-444-4000000000-4400000000000000000000000002-2-2200000000
χ564-4-44-444-4000000000-440000000000000000000000000-222-200000000

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