Finite Group Databasebeta

← Group #329127

Character table — Group #329127

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244448888888888816161616161616161616161616161616161616163232
order12222222444444444444444888888882222444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111-1-11-111-11-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-11-1-11-111-1-1-1-1-1-11111-1-1
χ511111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1111111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-111-1-11111-1-1-1-111
χ911111111111111111-1-11-1-1-11111-1-1-1-1111-11-1-1-111-1-111-1-111-1-11-1
χ1011111111111111111-1-11-1-1-11111-1-1-1-111-11-1111-1-1-1-1-1-111-1-1111-1
χ1111111111111111111-1-11-1-1-11111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-111-11
χ1211111111111111111-1-11-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-11111-1-1-11
χ1311111111111111111-1-11-1-1-1-1-1-1-11111111-11-1-1-111-1-1-1-111-1-111-11
χ1411111111111111111-1-11-1-1-1-1-1-1-1111111-11-1111-1-1-1-111-1-111-1-1-11
χ1511111111111111111-1-11-1-1-1-1-1-1-11111-1-1111-11-1-1-111-1-11111-1-11-1
χ1611111111111111111-1-11-1-1-1-1-1-1-11111-1-1-1-1-11-11111111-1-1-1-1111-1
χ1722222222222-2-2-2-22-222-22-2-2000000000020-2-20200000000000000
χ1822222222222-2-2-2-22-222-22-2-20000000000-20220-200000000000000
χ1922222222222-2-2-2-22-2-2-2-2-222000000000020-220-200000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2220000000000-202-20200000000000000
χ2122222222-2-2-22222-2-222-2-2-2200000000000200-202-2000000000000
χ2222222222-2-2-22222-2-222-2-2-2200000000000-20020-22000000000000
χ2322222222-2-2-22222-2-2-2-2-222-200000000000200-20-22000000000000
χ2422222222-2-2-22222-2-2-2-2-222-200000000000-200202-2000000000000
χ2522222222-2-2-2-2-2-2-2-22222-22-2000000002-2000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-22222-22-200000000-2200000000-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-222-22000000002-200000000-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-222-2200000000-22000000002-20000000000
χ294444-4-4-4-444-444-4-4-4-4004000000000000000000000000000000000
χ304444-4-4-4-444-4-4-444-4400-4000000000000000000000000000000000
χ314444-4-4-4-4-4-4444-4-44400-4000000000000000000000000000000000
χ324444-4-4-4-4-4-44-4-4444-4004000000000000000000000000000000000
χ3344-4-44-44-40000000004i−4i000022-2-22i2i−2i−2i0000000000000000000000
χ3444-4-44-44-40000000004i−4i0000-2-222−2i−2i2i2i0000000000000000000000
χ3544-4-44-44-4000000000−4i4i000022-2-2−2i−2i2i2i0000000000000000000000
χ3644-4-44-44-4000000000−4i4i0000-2-2222i2i−2i−2i0000000000000000000000
χ374-44-444-4-40004-44-400000000000000000000000000000000002i2−2i200
χ384-44-444-4-40004-44-40000000000000000000000000000000000−2i22i200
χ394-44-444-4-4000-44-44000000000000000000000000000000002i2−2i20000
χ404-44-444-4-4000-44-4400000000000000000000000000000000−2i22i20000
χ414-44-4-4-4440004-4-4400000000000022−2222−220000000000000000000000
χ424-44-4-4-4440004-4-44000000000000−2222−22220000000000000000000000
χ434-44-4-4-444000-444-40000000022−2222−2200000000000000000000000000
χ444-44-4-4-444000-444-400000000−2222−222200000000000000000000000000
χ454-4-444-4-444-440000-4000000000000000000000000000002i2−2i2000000
χ464-4-444-4-444-440000-400000000000000000000000000000−2i22i2000000
χ474-4-444-4-44-44-40000400000000000000000000000000022−2200000000
χ484-4-444-4-44-44-400004000000000000000000000000000−222200000000
χ494-4-44-444-44-4-400004000000022−22−222200000000000000000000000000
χ504-4-44-444-44-4-4000040000000−222222−2200000000000000000000000000
χ514-4-44-444-4-4440000-4000000000002i2−2i2−2i22i20000000000000000000000
χ524-4-44-444-4-4440000-400000000000−2i22i22i2−2i20000000000000000000000
χ5388-8-8-88-88000000000000000000000000000000000000000000000

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