Finite Group Databasebeta

← Group #180440

Character table — Group #180440

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444888888882244444444448888888844
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-111-1-1-1-11-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-11-1-11-1-11-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-11111-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-11-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-11-11-1-111111111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-111
χ91111111111-1-1-1-11111-1-11111-1-1-1-1111-1-11-1-1-111-111-1-111-1-11-1
χ101111111111-1-1-1-11111-1-11111-1-1-1-11-11-11-111-1-1-1111-1-1-1-111-11
χ111111111111-1-1-1-11111-1-11111-1-1-1-1-11-11-1-11-111-11-1-111-1-1111-1
χ121111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1111-111-11-1-1-11111-1-1-11
χ131111111111-1-1-1-11111-1-1-1-1-1-11111111-1-11-1-1-111-1-1-111-1-111-11
χ141111111111-1-1-1-11111-1-1-1-1-1-111111-11-11-111-1-1-11-1-11111-1-11-1
χ151111111111-1-1-1-11111-1-1-1-1-1-11111-11-11-1-11-111-1111-1-111-1-1-11
χ161111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-111-11-111-1-1-1-1111-1
χ17222222222-222-2-2-2-22-22-2000000000000022000-2-20000000000
χ18222222222-222-2-2-2-22-22-20000000000000-2-2000220000000000
χ19222222222-2-2-222-2-22-2-2200000000000002-2000-220000000000
χ20222222222-2-2-222-2-22-2-220000000000000-220002-20000000000
χ2122222222-2222-2-2-2-2-22-220000000020-2-2000020000000000000
χ2222222222-2222-2-2-2-2-22-2200000000-20220000-20000000000000
χ2322222222-22-2-222-2-2-222-20000000020-220000-20000000000000
χ2422222222-22-2-222-2-2-222-200000000-202-2000020000000000000
χ2522222222-2-2222222-2-2-2-2000000000200200-20-2000000000000
χ2622222222-2-2222222-2-2-2-2000000000-200-200202000000000000
χ2722222222-2-2-2-2-2-222-2-222000000000200-20020-2000000000000
χ2822222222-2-2-2-2-2-222-2-222000000000-200200-202000000000000
χ294444-4-4-4-40000004-400000000000000000000000022−2200000000
χ304444-4-4-4-40000004-4000000000000000000000000−222200000000
χ314444-4-4-4-4000000-440000000000000000000000000022−22000000
χ324444-4-4-4-4000000-4400000000000000000000000000−2222000000
χ3344-4-4-44-44040000000-4002i22i2−2i2−2i200000000000000000000000000
χ3444-4-4-44-44040000000-400−2i2−2i22i22i200000000000000000000000000
χ3544-4-4-44-440-4000000040000002222−22−220000000000000000000000
χ3644-4-4-44-440-400000004000000−22−2222220000000000000000000000
χ374-44-44-4-4440000000-40002i2−2i22i2−2i200000000000000000000000000
χ384-44-44-4-4440000000-4000−2i22i2−2i22i200000000000000000000000000
χ394-44-44-4-44-400000004000000022−2222−220000000000000000000000
χ404-44-44-4-44-4000000040000000−2222−22220000000000000000000000
χ414-44-4-444-400004i−4i0000000000000000000000000000002-22i−2i00
χ424-44-4-444-400004i−4i000000000000000000000000000000-22−2i2i00
χ434-44-4-444-40000−4i4i0000000000000000000000000000002-2−2i2i00
χ444-44-4-444-40000−4i4i000000000000000000000000000000-222i−2i00
χ454-4-44-4-444004-4000000002-2-222-2-220000000000000000000000
χ464-4-44-4-444004-400000000-222-2-222-20000000000000000000000
χ474-4-44-4-44400-44000000002-2-22-222-20000000000000000000000
χ484-4-44-4-44400-4400000000-222-22-2-220000000000000000000000
χ4988-8-88-88-8000000000000000000000000000000000000000000
χ508-8-8888-8-8000000000000000000000000000000000000000000

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