Finite Group Databasebeta

← Group #179747

Character table — Group #179747

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444488888888444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ911111111-1-1-1-11-1-111111-11111-1-1-1-111-1111-1-11-111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-111111-11111-1-1-1-11-1-1-1-1-1111-111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-111111-11111-1-1-1-1-1111-1-111-11-1-111-1-111-1-1-1-111
χ1211111111-1-1-1-11-1-111111-11111-1-1-1-1-1-11-111-1-1-11-1-11111-1-11111-1-1
χ1311111111-1-1-1-11-1-111111-1-1-1-1-1111111-1111-1-11-1-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-11-1-111111-1-1-1-1-111111-1-1-1-1-1111-1-1-1111111-1-111-1-1
χ1511111111-1-1-1-11-1-111111-1-1-1-1-11111-1111-1-111-1111-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-11-1-111111-1-1-1-1-11111-1-11-111-1-1-1111-1-11111-1-1-1-111
χ172222222222222-2-2-2-2-2-22-200000000020-200000000002-200000000
χ182222222222222-2-2-2-2-2-22-2000000000-2020000000000-2200000000
χ192222222222-2-2-22222-2-2-2-20000000000002-22-20000000000000000
χ202222222222-2-2-22222-2-2-2-2000000000000-22-220000000000000000
χ212222222222-2-2-2-2-2-2-222-220000000020-200000-2200000000000000
χ222222222222-2-2-2-2-2-2-222-2200000000-202000002-200000000000000
χ2322222222-2-222-222-2-222-2-20000000020200000-2-200000000000000
χ2422222222-2-222-222-2-222-2-200000000-20-2000002200000000000000
χ2522222222-2-222-2-2-222-2-2-220000000000002-2-220000000000000000
χ2622222222-2-222-2-2-222-2-2-22000000000000-222-20000000000000000
χ2722222222-2-2-2-2222-2-2-2-22200000000020-20000000000-2200000000
χ2822222222-2-2-2-2222-2-2-2-222000000000-20200000000002-200000000
χ29444-44-4-4-400000004-4000000002222−22−22000000000000000000000000
χ30444-44-4-4-400000004-400000000−22−222222000000000000000000000000
χ31444-44-4-4-40000000-4400002222−22−220000000000000000000000000000
χ32444-44-4-4-40000000-440000−22−2222220000000000000000000000000000
χ3344-44-44-4-4004-400000000000000000000000000000000000002-22-2
χ3444-44-44-4-4004-40000000000000000000000000000000000000-22-22
χ3544-44-44-4-400-4400000000000000000000000000000000000002-2-22
χ3644-44-44-4-400-440000000000000000000000000000000000000-222-2
χ3744-4-4-4-4440000000004-4000000000000000000000000002i2−2i2000000
χ3844-4-4-4-4440000000004-400000000000000000000000000−2i22i2000000
χ3944-4-4-4-444000000000-4400000000000000000000000000002i2−2i20000
χ4044-4-4-4-444000000000-440000000000000000000000000000−2i22i20000
χ414-44-4-444-4000004i−4i0000000000000000000000002-22i−2i0000000000
χ424-44-4-444-4000004i−4i000000000000000000000000-22−2i2i0000000000
χ434-44-4-444-400000−4i4i0000000000000000000000002-2−2i2i0000000000
χ444-44-4-444-400000−4i4i000000000000000000000000-222i−2i0000000000
χ454-4-444-44-44i−4i000000000002-22-22i−2i2i−2i000000000000000000000000
χ464-4-444-44-44i−4i00000000000-22-22−2i2i−2i2i000000000000000000000000
χ474-4-444-44-4−4i4i000000000002-22-2−2i2i−2i2i000000000000000000000000
χ484-4-444-44-4−4i4i00000000000-22-222i−2i2i−2i000000000000000000000000
χ494-4-4-444-4400004000000-4000002i2−2i2−2i22i2000000000000000000000000
χ504-4-4-444-4400004000000-400000−2i22i22i2−2i2000000000000000000000000
χ514-4-4-444-440000-40000004022−22−22220000000000000000000000000000
χ524-4-4-444-440000-400000040−222222−220000000000000000000000000000
χ538-888-8-8-88000000000000000000000000000000000000000000000

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