Finite Group Databasebeta

← Group #178942

Character table — Group #178942

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
χ511111111111111111-1-11-1-111-111-1-11-1-1-11111-1-1-1-11111-1-1
χ611111111111111111-1-11-1-111-111-1-11-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-11-1-11-1-1-1-111-11-111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-11-1-11-1-1-1-111-11-11-1-1-1-111111111-1-1
χ91111111111-1-11111-111-1-1-1-1111-11-1-1-1-1111-1-111-1-111-1-11-1
χ101111111111-1-11111-111-1-1-1-1111-11-1-1-1-11-1-111-1-111-1-111-11
χ111111111111-1-11111-111-1-1-1-1-11-11-1111-1-111-1-111-1-1-1-111-11
χ121111111111-1-11111-111-1-1-1-1-11-11-1111-1-1-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-111-11-11-1-11-111-111-1-1-1-11111-1-1-11
χ141111111111-1-11111-1-1-1-111-11-11-1-11-111-1-1-11111-1-1-1-1111-1
χ151111111111-1-11111-1-1-1-111-1-1-1-111-11-11111-1-1-1-111-1-1111-1
χ161111111111-1-11111-1-1-1-111-1-1-1-111-11-111-1-11111-1-111-1-1-11
χ17222222222-222-2-22-2-200-200220-2200-200000000000000000
χ18222222222-222-2-22-2-200-2002-202-200200000000000000000
χ19222222222-2-2-2-2-22-2200200-220-2-200200000000000000000
χ20222222222-2-2-2-2-22-2200200-2-202200-200000000000000000
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
χ2522222222-2-22222-2-2-200200-200002-2020-200000000000000
χ2622222222-2-22222-2-2-200200-20000-220-20200000000000000
χ2722222222-2-2-2-222-2-2200-20020000220-20-200000000000000
χ2822222222-2-2-2-222-2-2200-20020000-2-2020200000000000000
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
χ334-44-44-44-400004-400000000000000000000000002i2−2i2000000
χ344-44-44-44-400004-40000000000000000000000000−2i22i2000000
χ354-44-44-44-40000-44000000000000000000000002i2−2i200000000
χ364-44-44-44-40000-4400000000000000000000000−2i22i200000000
χ374-4-444-4-440400000-400004i−4i0000000000000000000000000
χ384-4-444-4-440400000-40000−4i4i0000000000000000000000000
χ394-4-444-4-440-400000404-40000000000000000000000000000
χ404-4-444-4-440-40000040-440000000000000000000000000000
χ414-4-44-444-4004i−4i0000000000000000000002i−2i2-20000000000
χ424-4-44-444-4004i−4i000000000000000000000−2i2i-220000000000
χ434-4-44-444-400−4i4i0000000000000000000002i−2i-220000000000
χ444-4-44-444-400−4i4i000000000000000000000−2i2i2-20000000000
χ4588-8-888-8-8000000000000000000000000000000000000000
χ4688-8-8-8-888000000000000000000000000000000000000000
χ478-88-8-88-88000000000000000000000000000000000000000

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