Finite Group Databasebeta

← Group #178946

Character table — Group #178946

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442224444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-1-1-11-111111111-1-1-1-1-1-1
χ411111111111111111111111-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-11-1-111-11-11-11-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111-1-11-1-111-11-11-11-1-1-1-1-1-1-111111111-1-1
χ711111111111111111-1-11-1-11-1-1-11-11-11-111111-1-1-1-11111-1-1
χ811111111111111111-1-11-1-11-1-1-11-11-11-11-1-1-1-11111-1-1-1-111
χ91111111111-1-11111-111-1-1-1-111-1-1-1-111-1111-1-111-1-111-1-11-1
χ101111111111-1-11111-111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111-11
χ111111111111-1-11111-111-1-1-1-1-111111-1-1-1-111-1-111-1-1-1-111-11
χ121111111111-1-11111-111-1-1-1-1-111111-1-1-1-1-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-111-11-1-11-111-11-111-1-1-1-111-1-1111-1
χ141111111111-1-11111-1-1-1-111-11-1-11-111-11-1-1-11111-1-111-1-1-11
χ151111111111-1-11111-1-1-1-111-1-1-11-11-1-111111-1-1-1-11111-1-1-11
χ161111111111-1-11111-1-1-1-111-1-1-11-11-1-1111-1-11111-1-1-1-1111-1
χ17222222222-222-2-22-2-200200-200020-20-20200000000000000
χ18222222222-222-2-22-2-200200-2000-202020-200000000000000
χ19222222222-2-2-2-2-22-2200-200200020-2020-200000000000000
χ20222222222-2-2-2-2-22-2200-2002000-2020-20200000000000000
χ2122222222-2222-2-2-22222-2-2-2-20-20000002000000000000000
χ2222222222-2222-2-2-222-2-2-222-202000000-2000000000000000
χ2322222222-22-2-2-2-2-22-22222220-2000000-2000000000000000
χ2422222222-22-2-2-2-2-22-2-2-22-2-22020000002000000000000000
χ2522222222-2-22222-2-2-200-20022020-20-200000000000000000
χ2622222222-2-22222-2-2-200-2002-20-2020200000000000000000
χ2722222222-2-2-2-222-2-2200200-220-2020-200000000000000000
χ2822222222-2-2-2-222-2-2200200-2-2020-20200000000000000000
χ294444-4-4-4-400004-40000000000000000000000022−2200000000
χ304444-4-4-4-400004-400000000000000000000000−222200000000
χ314444-4-4-4-40000-44000000000000000000000000022−22000000
χ324444-4-4-4-40000-440000000000000000000000000−2222000000
χ3344-4-4-4-4440400000-400004i−4i0000000000000000000000000
χ3444-4-4-4-4440400000-40000−4i4i0000000000000000000000000
χ3544-4-4-4-4440-400000404-40000000000000000000000000000
χ3644-4-4-4-4440-40000040-440000000000000000000000000000
χ374-44-44-44-4004i−4i0000000000000000000002-22i−2i0000000000
χ384-44-44-44-4004i−4i000000000000000000000-22−2i2i0000000000
χ394-44-44-44-400−4i4i0000000000000000000002-2−2i2i0000000000
χ404-44-44-44-400−4i4i000000000000000000000-222i−2i0000000000
χ414-4-44-444-4400000-400000000000000000000000000002i2−2i200
χ424-4-44-444-4400000-40000000000000000000000000000−2i22i200
χ434-4-44-444-4-40000040000000000000000000000000022−220000
χ444-4-44-444-4-400000400000000000000000000000000−22220000
χ4588-8-888-8-8000000000000000000000000000000000000000
χ468-88-8-88-88000000000000000000000000000000000000000
χ478-8-888-8-88000000000000000000000000000000000000000

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