Finite Group Databasebeta

← Group #166121

Character table — Group #166121

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111
χ911111111-1-1-1-11-1-111111-1-111-1-111-1-111-1-11-1111-11-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-111111-1-111-1-111-1-111-1-11-1-1-11-11-111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-111111-1-111-1-1-1-111-1-1111-111-11-11-1-1-1-111-1-11111-1-1
χ1211111111-1-1-1-11-1-111111-1-111-1-1-1-111-1-1111-1-1-1-11-111111-1-111-1-1-1-111
χ1311111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111-11111-1-11-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111-11-1-11-1-1111-1-11111-1-111-1-1
χ1511111111-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1111-111-1-1-1-1-11111-1-1-1-111
χ1611111111-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-11-1-1-111-11111-1-1-1-11111-1-1
χ17222222222222222-2-2-2-22-2-2222200000000-2-200000000000000000000
χ18222222222222222-2-2-2-22-2-2-2-2-2-2000000002200000000000000000000
χ19222222222222-2-2-222-2-2-22-2000000002222000000-2-200000000000000
χ20222222222222-2-2-222-2-2-22-200000000-2-2-2-20000002200000000000000
χ21222222222222-2-2-2-2-222-2-220000222200000000-2-20000000000000000
χ22222222222222-2-2-2-2-222-2-220000-2-2-2-200000000220000000000000000
χ2322222222-2-2-2-22-2-2-2-2-2-222222-2-200000000-2200000000000000000000
χ2422222222-2-2-2-22-2-2-2-2-2-2222-2-222000000002-200000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-220000000022-2-2000000-2200000000000000
χ2622222222-2-2-2-2-22222-2-2-2-2200000000-2-2220000002-200000000000000
χ2722222222-2-2-2-2-222-2-222-22-2000022-2-200000000-220000000000000000
χ2822222222-2-2-2-2-222-2-222-22-20000-2-222000000002-20000000000000000
χ292222-2-2-2-222-2-222-20000-2002-22-20000000000000000002−22−22−22−20000
χ302222-2-2-2-222-2-222-20000-2002-22-2000000000000000000−22−22−22−220000
χ312222-2-2-2-222-2-222-20000-200-22-220000000000000000002−22−2−22−220000
χ322222-2-2-2-222-2-222-20000-200-22-22000000000000000000−22−222−22−20000
χ332222-2-2-2-2-2-2222-220000-2002-2-220000000000000000002−2−222−2−220000
χ342222-2-2-2-2-2-2222-220000-2002-2-22000000000000000000−222−2−222−20000
χ352222-2-2-2-2-2-2222-220000-200-222-20000000000000000002−2−22−222−20000
χ362222-2-2-2-2-2-2222-220000-200-222-2000000000000000000−222−22−2−220000
χ374444-4-4-4-444-4-4-4-4400004000000000000000000000000000000000000
χ384444-4-4-4-4-4-444-44-400004000000000000000000000000000000000000
χ3944-4-44-4-440000000004-40000000004i−4i00000000000000000000000000
χ4044-4-44-4-440000000004-4000000000−4i4i00000000000000000000000000
χ4144-4-44-4-44000000000-4400000004i−4i0000000000000000000000000000
χ4244-4-44-4-44000000000-440000000−4i4i0000000000000000000000000000
χ434-44-4-44-4400000004-40000000000000004i−4i0000000000000000000000
χ444-44-4-44-4400000004-4000000000000000−4i4i0000000000000000000000
χ454-44-4-44-440000000-4400000000000004i−4i000000000000000000000000
χ464-44-4-44-440000000-440000000000000−4i4i000000000000000000000000
χ474-4-4444-4-44-44-40000000000000000000000002i−2i00002i−2i000000000000
χ484-4-4444-4-44-44-4000000000000000000000000−2i2i0000−2i2i000000000000
χ494-4-4444-4-4-44-440000000000000000000000002i−2i0000−2i2i000000000000
χ504-4-4444-4-4-44-44000000000000000000000000−2i2i00002i−2i000000000000
χ514-4-44-4-4444-4-4400000000000000000000000000000000000000002-22-2
χ524-4-44-4-4444-4-440000000000000000000000000000000000000000-22-22
χ534-4-44-4-444-444-400000000000000000000000000000000000000002-2-22
χ544-4-44-4-444-444-40000000000000000000000000000000000000000-222-2
χ5588-8-8-888-8000000000000000000000000000000000000000000000000
χ568-88-88-88-8000000000000000000000000000000000000000000000000

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