Finite Group Databasebeta

← Group #179441

Character table — Group #179441

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444488888888222444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-11-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111-11-1-1-111-1-11-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111-1-11-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-11-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-11-1-111111111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-111111111
χ911111111-1-111-1-1-1-11111-11111-1-1-1-1111-1-11-1-11-11-111-1-111-1-111-1-1
χ1011111111-1-111-1-1-1-11111-11111-1-1-1-11-1-1-1-1-11111-11-1-11111-1-1-1-111
χ1111111111-1-111-1-1-1-11111-11111-1-1-1-1-11-1111-11-1-1-11-1-111-1-11111-1-1
χ1211111111-1-111-1-1-1-11111-11111-1-1-1-1-1-1111-11-1-111-111-1-1-1-111-1-111
χ1311111111-1-111-1-1-1-11111-1-1-1-1-11111111-1-11-1-11-11-1-1-111-1-111-1-111
χ1411111111-1-111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-11111-1111-1-1-1-11111-1-1
χ1511111111-1-111-1-1-1-11111-1-1-1-1-11111-11-1111-11-1-1-1111-1-111-1-1-1-111
χ1611111111-1-111-1-1-1-11111-1-1-1-1-11111-1-1111-11-1-111-1-1-11111-1-111-1-1
χ1722222222222-222-2-2-2-22-2-2000000000020000200-2-2000000000000
χ1822222222222-222-2-2-2-22-2-20000000000-20000-20022000000000000
χ192222222222-22-2-2-2-2-2-2-222000000002002-2000-2000000000000000
χ202222222222-22-2-2-2-2-2-2-22200000000-200-220002000000000000000
χ212222222222-2-2-2-22222-2-2-20000000002000-2200-200000000000000
χ222222222222-2-2-2-22222-2-2-2000000000-20002-200200000000000000
χ2322222222-2-22-2-2-222-2-22-22000000000020000-200-22000000000000
χ2422222222-2-22-2-2-222-2-22-220000000000-200002002-2000000000000
χ2522222222-2-2-222222-2-2-22-200000000200-22000-2000000000000000
χ2622222222-2-2-222222-2-2-22-200000000-2002-20002000000000000000
χ2722222222-2-2-2-222-2-222-2-220000000002000-2-200200000000000000
χ2822222222-2-2-2-222-2-222-2-22000000000-20002200-200000000000000
χ29444-4-4-44-40000004i−4i0000022-2-22i2i−2i−2i000000000000000000000000
χ30444-4-4-44-40000004i−4i00000-2-222−2i−2i2i2i000000000000000000000000
χ31444-4-4-44-4000000−4i4i0000022-2-2−2i−2i2i2i000000000000000000000000
χ32444-4-4-44-4000000−4i4i00000-2-2222i2i−2i−2i000000000000000000000000
χ3344-44-4-4-4400004i−4i000000000000000000000000000000000002i−2i2-2
χ3444-44-4-4-4400004i−4i00000000000000000000000000000000000−2i2i-22
χ3544-44-4-4-440000−4i4i000000000000000000000000000000000002i−2i-22
χ3644-44-4-4-440000−4i4i00000000000000000000000000000000000−2i2i2-2
χ374-4444-4-4-44-400000000000000000000000000000002i−2i2i−2i00000000
χ384-4444-4-4-44-40000000000000000000000000000000−2i2i−2i2i00000000
χ394-4444-4-4-4-4400000000000000000000000000000002i−2i−2i2i00000000
χ404-4444-4-4-4-440000000000000000000000000000000−2i2i2i−2i00000000
χ414-44-4-44-440040000000-4000000000000000000000000002i2−2i2000000
χ424-44-4-44-440040000000-400000000000000000000000000−2i22i2000000
χ434-44-4-44-4400-400000004000000000000000000000000000022−220000
χ444-44-4-44-4400-4000000040000000000000000000000000000−22220000
χ454-4-44-444-400040000000-4000002i2−2i22i2−2i2000000000000000000000000
χ464-4-44-444-400040000000-400000−2i22i2−2i22i2000000000000000000000000
χ474-4-44-444-4000-400000004022−2222−220000000000000000000000000000
χ484-4-44-444-4000-4000000040−2222−22220000000000000000000000000000
χ494-4-4-44-444000000004-4000000022−22−2222000000000000000000000000
χ504-4-4-44-444000000004-40000000−222222−22000000000000000000000000
χ514-4-4-44-44400000000-4400022−22−22220000000000000000000000000000
χ524-4-4-44-44400000000-44000−222222−220000000000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000

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