Finite Group Databasebeta

← Group #179484

Character table — Group #179484

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444488888888224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-111111111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ911111111-1-11-1-1-1-111111-11111-1-1-1-111-1-11-1-1111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-1-1-111111-11111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1-1-111
χ1111111111-1-11-1-1-1-111111-11111-1-1-1-1-111-1-1-111-1-111-1-111-1-11111-1-1
χ1211111111-1-11-1-1-1-111111-11111-1-1-1-1-1-111-111-111-1-111-1-1-1-111-1-111
χ1311111111-1-11-1-1-1-111111-1-1-1-1-1111111-1-11-1-1111-1-1-1-111-1-111-1-111
χ1411111111-1-11-1-1-1-111111-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ1511111111-1-11-1-1-1-111111-1-1-1-1-11111-111-1-1-111-1-11111-1-111-1-1-1-111
χ1611111111-1-11-1-1-1-111111-1-1-1-1-11111-1-111-111-111-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-2-2-2-2-22200000000000000002-22-2000000000000
χ1822222222222-2-2-2-2-2-2-2-2220000000000000000-22-22000000000000
χ192222222222-222-2-222-2-2-2-20000000002020-20-20000000000000000
χ202222222222-222-2-222-2-2-2-2000000000-20-202020000000000000000
χ212222222222-2-2-222-2-222-2-2000000002020-20-200000000000000000
χ222222222222-2-2-222-2-222-2-200000000-20-2020200000000000000000
χ2322222222-2-222222-2-2-2-22-200000000000000002-2-22000000000000
χ2422222222-2-222222-2-2-2-22-20000000000000000-222-2000000000000
χ2522222222-2-2-222-2-2-2-222-220000000020-20-20200000000000000000
χ2622222222-2-2-222-2-2-2-222-2200000000-202020-200000000000000000
χ2722222222-2-2-2-2-22222-2-2-2200000000020-2020-20000000000000000
χ2822222222-2-2-2-2-22222-2-2-22000000000-2020-2020000000000000000
χ29444-4-44-4-400000004-4000000002222−22−22000000000000000000000000
χ30444-4-44-4-400000004-400000000−22−222222000000000000000000000000
χ31444-4-44-4-40000000-4400002222−22−220000000000000000000000000000
χ32444-4-44-4-40000000-440000−22−2222220000000000000000000000000000
χ3344-444-4-4-44-4000000000002-22-22-22-2000000000000000000000000
χ3444-444-4-4-44-400000000000-22-22-22-22000000000000000000000000
χ3544-444-4-4-4-44000000000002-22-2-22-22000000000000000000000000
χ3644-444-4-4-4-4400000000000-22-222-22-2000000000000000000000000
χ3744-4-4-4-4440000000004-400000022−22−2222000000000000000000000000
χ3844-4-4-4-4440000000004-4000000−222222−22000000000000000000000000
χ3944-4-4-4-444000000000-440022−22−22220000000000000000000000000000
χ4044-4-4-4-444000000000-4400−222222−220000000000000000000000000000
χ414-444-4-44-4000004i−4i000000000000000000000000002-22i−2i00000000
χ424-444-4-44-4000004i−4i00000000000000000000000000-22−2i2i00000000
χ434-444-4-44-400000−4i4i000000000000000000000000002-2−2i2i00000000
χ444-444-4-44-400000−4i4i00000000000000000000000000-222i−2i00000000
χ454-44-44-4-440004i−4i000000000000000000000000000000002i−2i2-20000
χ464-44-44-4-440004i−4i00000000000000000000000000000000−2i2i-220000
χ474-44-44-4-44000−4i4i000000000000000000000000000000002i−2i-220000
χ484-44-44-4-44000−4i4i00000000000000000000000000000000−2i2i2-20000
χ494-4-44-44-4400400000000-4000000000000000000000000000002i2−2i200
χ504-4-44-44-4400400000000-400000000000000000000000000000−2i22i200
χ514-4-44-44-4400-4000000004000000000000000000000000000000022−22
χ524-4-44-44-4400-40000000040000000000000000000000000000000−2222
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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