Finite Group Databasebeta

← Group #329126

Character table — Group #329126

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244448888888888816161616161616161616161616161616161616163232
order12222222444444444444444888888882224444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111-1-11-11-1-1-11-11-11111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-11-11-1-1-11-11-1-1-1-11111-1-1
χ511111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-11-11-1-1-1-1-1111111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11-111111-1-1-1-111
χ911111111111111111-1-11-1-1-11111-1-1-1-1111-11-1-1-1-11-1111-1-111-1-11-1
χ1011111111111111111-1-11-1-1-11111-1-1-1-111-11-11-1-11-11-1-1-111-1-1111-1
χ1111111111111111111-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11
χ1211111111111111111-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-11
χ1311111111111111111-1-11-1-1-1-1-1-1-11111111-11-1-1-1-11-11-1-111-1-111-11
χ1411111111111111111-1-11-1-1-1-1-1-1-1111111-11-11-1-11-11-111-1-111-1-1-11
χ1511111111111111111-1-11-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-11-1
χ1611111111111111111-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111-1
χ1722222222222-2-2-2-22-222-2-2-22000000000020-200020-200000000000
χ1822222222222-2-2-2-22-222-2-2-220000000000-202000-20200000000000
χ1922222222222-2-2-2-22-2-2-2-222-2000000000020-2000-20200000000000
χ2022222222222-2-2-2-22-2-2-2-222-20000000000-20200020-200000000000
χ2122222222-2-2-22222-2-222-22-2-20000000000020-200020-20000000000
χ2222222222-2-2-22222-2-222-22-2-200000000000-202000-2020000000000
χ2322222222-2-2-22222-2-2-2-2-2-2220000000000020-2000-2020000000000
χ2422222222-2-2-22222-2-2-2-2-2-22200000000000-20200020-20000000000
χ2522222222-2-2-2-2-2-2-2-22222-22-2000000002-200002-200000000000000
χ2622222222-2-2-2-2-2-2-2-22222-22-200000000-220000-2200000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-222-22000000002-20000-2200000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-222-2200000000-2200002-200000000000000
χ29444-4-44-4-444-40000-400000002222−22−2200000000000000000000000000
χ30444-4-44-4-444-40000-40000000−22−22222200000000000000000000000000
χ31444-4-44-4-4-4-4400004000000000002i22i2−2i2−2i20000000000000000000000
χ32444-4-44-4-4-4-440000400000000000−2i2−2i22i22i20000000000000000000000
χ3344-444-4-4-44-4444-4-4-4-4004000000000000000000000000000000000
χ3444-444-4-4-44-44-4-444-4400-4000000000000000000000000000000000
χ3544-444-4-4-4-44-444-4-44400-4000000000000000000000000000000000
χ3644-444-4-4-4-44-4-4-4444-4004000000000000000000000000000000000
χ3744-4-4-4-4444-4-4000040000000000000000000000000000022−22000000
χ3844-4-4-4-4444-4-40000400000000000000000000000000000−2222000000
χ3944-4-4-4-444-4440000-40000000000000000000000000002i2−2i200000000
χ4044-4-4-4-444-4440000-4000000000000000000000000000−2i22i200000000
χ414-444-4-4-440000000004i−4i00002i−2i2i−2i2-22-20000000000000000000000
χ424-444-4-4-440000000004i−4i0000−2i2i−2i2i-22-220000000000000000000000
χ434-444-4-4-44000000000−4i4i00002i−2i2i−2i-22-220000000000000000000000
χ444-444-4-4-44000000000−4i4i0000−2i2i−2i2i2-22-20000000000000000000000
χ454-44-44-44-40004-44-40000000000002i2−2i2−2i22i20000000000000000000000
χ464-44-44-44-40004-44-4000000000000−2i22i22i2−2i20000000000000000000000
χ474-44-44-44-4000-44-44000000002i2−2i2−2i22i200000000000000000000000000
χ484-44-44-44-4000-44-4400000000−2i22i22i2−2i200000000000000000000000000
χ494-4-4-444-440004-4-44000000000000000000000000000000000022−2200
χ504-4-4-444-440004-4-440000000000000000000000000000000000−222200
χ514-4-4-444-44000-444-40000000000000000000000000000000022−220000
χ524-4-4-444-44000-444-400000000000000000000000000000000−22220000
χ538-8-88-888-8000000000000000000000000000000000000000000000

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