Finite Group Databasebeta

← Group #178913

Character table — Group #178913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442224444444444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-1-111-11-1-1-11-11111-1-1-1-11111-1-1
χ611111111111111111-1-111-1-1-111-11-1-1-11-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-111-1-1-1-1-11-111-1-111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-1-1-11-111-1-11-1-1-1-111111111-1-1
χ91111111111-1-11111-111-1-1-1-111-1-1-11-1-11111-1-111-1-111-1-11-1
χ101111111111-1-11111-111-1-1-1-111-1-1-11-1-111-1-111-1-111-1-111-11
χ111111111111-1-11111-111-1-1-1-11-1111-11-1-1-111-1-111-1-1-1-111-11
χ121111111111-1-11111-111-1-1-1-11-1111-11-1-1-1-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-1-111-11-11-1-1111-111-1-1-1-11111-1-1-11
χ141111111111-1-11111-1-1-1-1-111-11-11-1-1111-1-1-11111-1-1-1-1111-1
χ151111111111-1-11111-1-1-1-1-111-1-11-111-11-1111-1-1-1-111-1-1111-1
χ161111111111-1-11111-1-1-1-1-111-1-11-111-11-11-1-11111-1-111-1-1-11
χ17222222222-222-2-22-2-2002-2000220-2000-2000000000000000
χ18222222222-222-2-22-2-2002-2000-2-2020002000000000000000
χ19222222222-2-2-2-2-22-2200-220002-202000-2000000000000000
χ20222222222-2-2-2-2-22-2200-22000-220-20002000000000000000
χ2122222222-2222-2-2-22222-2-2-2-2-200000020000000000000000
χ2222222222-2222-2-2-222-2-2-2-2222000000-20000000000000000
χ2322222222-22-2-2-2-2-22-2222222-2000000-20000000000000000
χ2422222222-22-2-2-2-2-22-2-2-222-2-2200000020000000000000000
χ2522222222-2-22222-2-2-200-2200000202-200-200000000000000
χ2622222222-2-22222-2-2-200-2200000-20-2200200000000000000
χ2722222222-2-2-2-222-2-22002-20000020-2-200200000000000000
χ2822222222-2-2-2-222-2-22002-200000-202200-200000000000000
χ294444-4-4-4-4400000-40000000000000000000000000022−220000
χ304444-4-4-4-4400000-400000000000000000000000000−22220000
χ314444-4-4-4-4-400000400000000000000000000000000002i2−2i200
χ324444-4-4-4-4-40000040000000000000000000000000000−2i22i200
χ3344-4-444-4-400004-400000000000000000000000002i2−2i2000000
χ3444-4-444-4-400004-40000000000000000000000000−2i22i2000000
χ3544-4-444-4-40000-44000000000000000000000002i2−2i200000000
χ3644-4-444-4-40000-4400000000000000000000000−2i22i200000000
χ374-44-44-44-4004i−4i0000000000000000000002i−2i2-20000000000
χ384-44-44-44-4004i−4i000000000000000000000−2i2i-220000000000
χ394-44-44-44-400−4i4i0000000000000000000002i−2i-220000000000
χ404-44-44-44-400−4i4i000000000000000000000−2i2i2-20000000000
χ414-44-4-44-440400000-4000004i−4i000000000000000000000000
χ424-44-4-44-440400000-400000−4i4i000000000000000000000000
χ434-44-4-44-440-400000404-40000000000000000000000000000
χ444-44-4-44-440-40000040-440000000000000000000000000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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