Finite Group Databasebeta

← Group #179072

Character table — Group #179072

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-11-1111-1-1-1-11-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-1-1-11-1111-1-1-1-11-1-1-1-1-111111111-1-1
χ7111111111111111111-1-1-1-11-1-1-1-111-11-111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-11-1-1-1-111-11-11-1-1-1-11111-1-1-1-111
χ9111111111-1-111111-1-111-1-1-1111-1-1-1-11-1111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-111-1-1-1111-1-1-1-11-11-1-111-1-111-1-111-11
χ11111111111-1-111111-1-111-1-1-11-1-1111-1-11-111-1-111-1-1-1-111-11
χ12111111111-1-111111-1-111-1-1-11-1-1111-1-11-1-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-111-1-111-1111-1-1-111-1-1-1-111-1-1111-1
χ14111111111-1-111111-1-1-1-111-1-111-1111-1-1-1-1-11111-1-111-1-1-11
χ15111111111-1-111111-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-11
χ16111111111-1-111111-1-1-1-111-1-1-1-11-1-11111-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-22-222-2-2-2-200000200000000000000000
χ1822222222222-2-2-22-22-2-2-222-2200000-200000000000000000
χ19222222222-2-2-2-2-22-2-2222222-200000-200000000000000000
χ20222222222-2-2-2-2-22-2-22-2-2-2-22200000200000000000000000
χ2122222222-2222-2-2-22-220000-200002-20-20200000000000000
χ2222222222-2222-2-2-22-220000-20000-22020-200000000000000
χ2322222222-222-222-2-2-2-20000202-220000-2000000000000000
χ2422222222-222-222-2-2-2-2000020-22-200002000000000000000
χ2522222222-2-2-22-2-2-222-20000200002-2020-200000000000000
χ2622222222-2-2-22-2-2-222-2000020000-220-20200000000000000
χ2722222222-2-2-2-222-2-2220000-202-2-200002000000000000000
χ2822222222-2-2-2-222-2-2220000-20-2220000-2000000000000000
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
χ3344-4-444-4-4400000-4000004-40000000000000000000000000
χ3444-4-444-4-4400000-400000-440000000000000000000000000
χ3544-4-444-4-4-40000040004i−4i000000000000000000000000000
χ3644-4-444-4-4-4000004000−4i4i000000000000000000000000000
χ374-44-44-44-404i−4i00000000000000000000002-22i−2i0000000000
χ384-44-44-44-404i−4i0000000000000000000000-22−2i2i0000000000
χ394-44-44-44-40−4i4i00000000000000000000002-2−2i2i0000000000
χ404-44-44-44-40−4i4i0000000000000000000000-222i−2i0000000000
χ414-4-444-4-440004000-400000000000000000000000002i2−2i20000
χ424-4-444-4-440004000-40000000000000000000000000−2i22i20000
χ434-4-444-4-44000-4000400000000000000000000000000022−2200
χ444-4-444-4-44000-40004000000000000000000000000000−222200
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-8-88-88000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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