Finite Group Databasebeta

← Group #178630

Character table — Group #178630

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442222444224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-1-1-11111-1-1-111-1-11-111111111-1-1-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-111-1-11-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-1-1-1111-11-1-1-1-111-111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-1111-11-1-1-1-111-11-1-1-1-111111111-1-1
χ9111111111-1-11111111-1-1-1-1-1111-11-11-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-11111111-1-1-1-1-1111-11-11-1-1-1-1-111-1-111-1-111-11
χ11111111111-1-11111111-1-1-1-1-1-1-11-1-11-111111-1-1-1-11111-1-1-11
χ12111111111-1-11111111-1-1-1-1-1-1-11-1-11-1111-1-11111-1-1-1-1111-1
χ13111111111-1-111111-1-111-1-1-11-1-111-1-11-1111-1-111-1-1-1-111-11
χ14111111111-1-111111-1-111-1-1-11-1-111-1-11-11-1-111-1-11111-1-11-1
χ15111111111-1-111111-1-111-1-1-1-11-11-111-11-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-111-1-1-1-11-11-111-11-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-220000-22-22000-2-2002000000000000000
χ1822222222222-2-2-2-220000-22-2-20002200-2000000000000000
χ19222222222-2-2-2-2-2-2200002-222000-2200-2000000000000000
χ20222222222-2-2-2-2-2-2200002-22-20002-2002000000000000000
χ2122222222-22222-2-2-20000-2-22020000-2-20200000000000000
χ2222222222-22222-2-2-20000-2-220-20000220-200000000000000
χ2322222222-222-2-222-222-2-22-2-200-2200000000000000000000
χ2422222222-222-2-222-2-2-2222-2-2002-200000000000000000000
χ2522222222-2-2-222-2-2-2000022-2020000-220-200000000000000
χ2622222222-2-2-222-2-2-2000022-20-200002-20200000000000000
χ2722222222-2-2-2-2-222-22222-22200-2-200000000000000000000
χ2822222222-2-2-2-2-222-2-2-2-2-2-222002200000000000000000000
χ2944-444-4-4-404i−4i0000000000000000000000000000002-22i−2i00
χ3044-444-4-4-404i−4i000000000000000000000000000000-22−2i2i00
χ3144-444-4-4-40−4i4i0000000000000000000000000000002-2−2i2i00
χ3244-444-4-4-40−4i4i000000000000000000000000000000-222i−2i00
χ334-444-44-4-40004-4000000000000000000000000002i2−2i2000000
χ344-444-44-4-40004-400000000000000000000000000−2i22i2000000
χ354-444-44-4-4000-440000000000000000000000002i2−2i200000000
χ364-444-44-4-4000-44000000000000000000000000−2i22i200000000
χ374-4-44-4-444000004-40004-4000000000000000000000000000
χ384-4-44-4-444000004-4000-44000000000000000000000000000
χ394-4-44-4-44400000-4404-400000000000000000000000000000
χ404-4-44-4-44400000-440-4400000000000000000000000000000
χ414-4-4-4444-44000000-400000000000000000002i2−2i20000000000
χ424-4-4-4444-44000000-40000000000000000000−2i22i20000000000
χ434-4-4-4444-4-400000040000000000000000022−22000000000000
χ444-4-4-4444-4-4000000400000000000000000−2222000000000000
χ45888-8-8-88-8000000000000000000000000000000000000000
χ4688-8-8-88-88000000000000000000000000000000000000000
χ478-88-88-8-88000000000000000000000000000000000000000

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