Finite Group Databasebeta

← Group #179202

Character table — Group #179202

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444444444444488888888888844
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
χ51111111111111111-1-111-1-111-11-1-11-1-1-111111-1-1-1-11111-1-1
χ61111111111111111-1-111-1-111-11-1-11-1-1-11-1-1-1-11111-1-1-1-111
χ71111111111111111-1-111-1-11-1-1-111-111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-11-1-1-111-111-1-1-1-1-1-111111111-1-1
χ9111111111-1-11111111-1-1-1-1-111-11-111-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-11111111-1-1-1-1-111-11-111-1-1-1-1-111-1-111-1-111-11
χ11111111111-1-11111111-1-1-1-1-1-111-11-1-11-1111-1-111-1-1-1-111-11
χ12111111111-1-11111111-1-1-1-1-1-111-11-1-11-11-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-111-11-1-1-111-111-111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-111-11-1-1-111-111-1-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-111-1-1-111-1-11-11111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-111-1-1-111-1-11-111-1-11111-1-111-1-1-11
χ1722222222222-2-22-2-200-2-20020002-20-220000000000000000
χ1822222222222-2-22-2-200-2-2002000-2202-20000000000000000
χ19222222222-2-2-2-22-2-2002200-2000220-2-20000000000000000
χ20222222222-2-2-2-22-2-2002200-2000-2-20220000000000000000
χ2122222222-2222-2-22-200-2200-220-200-2000200000000000000
χ2222222222-2222-2-22-200-2200-2-202002000-200000000000000
χ2322222222-222-22-2-22222-2-2-2-20-20000002000000000000000
χ2422222222-222-22-2-22-2-22-222-202000000-2000000000000000
χ2522222222-2-2-22-2-22-2002-200220200-2000-200000000000000
χ2622222222-2-2-22-2-22-2002-2002-20-2002000200000000000000
χ2722222222-2-2-2-22-2-2222-222220-2000000-2000000000000000
χ2822222222-2-2-2-22-2-22-2-2-22-2-22020000002000000000000000
χ2944-44-44-4-40000400-400004-40000000000000000000000000
χ3044-44-44-4-40000400-40000-440000000000000000000000000
χ3144-44-44-4-40000-40044i−4i00000000000000000000000000000
χ3244-44-44-4-40000-4004−4i4i00000000000000000000000000000
χ3344-4-44-44-4000400-400000000000000000022−22000000000000
χ3444-4-44-44-4000400-4000000000000000000−2222000000000000
χ3544-4-44-44-4000-4004000000000000000000002i2−2i20000000000
χ3644-4-44-44-4000-400400000000000000000000−2i22i20000000000
χ374-444-4-44-440000-400000000000000000000000000022−220000
χ384-444-4-44-440000-4000000000000000000000000000−22220000
χ394-444-4-44-4-400004000000000000000000000000000002i2−2i200
χ404-444-4-44-4-40000400000000000000000000000000000−2i22i200
χ414-4-444-4-4404i−4i000000000000000000000000002-22i−2i000000
χ424-4-444-4-4404i−4i00000000000000000000000000-22−2i2i000000
χ434-4-444-4-440−4i4i000000000000000000000000002-2−2i2i000000
χ444-4-444-4-440−4i4i00000000000000000000000000-222i−2i000000
χ45888-8-8-8-88000000000000000000000000000000000000000
χ468-88-888-8-8000000000000000000000000000000000000000
χ478-8-8-8-8888000000000000000000000000000000000000000

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