Finite Group Databasebeta

← Group #179019

Character table — Group #179019

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-1-111-1-1-11-1-111111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-1-111-1-1-11-1-11-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-111-1-111-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-111-1-111-1-1-1-1-111111111-1-1
χ911111111111-1-1111-1-111-1-1-111-11-1-111-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1111-1-111-1-1-111-11-1-111-1-1-1-111-1-111-1-111-11
χ1111111111111-1-1111-1-111-1-1-11-11-11-1-1-11111-1-111-1-1-1-111-11
χ1211111111111-1-1111-1-111-1-1-11-11-11-1-1-111-1-111-1-11111-1-11-1
χ1311111111111-1-1111-1-1-1-1-111-11-1-1111-11-111-1-1-1-11111-1-1-11
χ1411111111111-1-1111-1-1-1-1-111-11-1-1111-11-1-1-11111-1-1-1-1111-1
χ1511111111111-1-1111-1-1-1-1-111-1-111-11-11-1111-1-1-1-111-1-1111-1
χ1611111111111-1-1111-1-1-1-1-111-1-111-11-11-11-1-11111-1-111-1-1-11
χ17222222222-2-2222-2-22-200-2000002-200-22000000000000000
χ18222222222-2-2222-2-22-200-200000-22002-2000000000000000
χ19222222222-2-2-2-22-2-2-22002000002200-2-2000000000000000
χ20222222222-2-2-2-22-2-2-2200200000-2-20022000000000000000
χ2122222222-22-222-22-2-2-2222-2-2-200002000000000000000000
χ2222222222-22-222-22-2-2-2-2-222220000-2000000000000000000
χ2322222222-22-2-2-2-22-22222-222-20000-2000000000000000000
χ2422222222-22-2-2-2-22-222-2-2-2-2-2200002000000000000000000
χ2522222222-2-2222-2-22-2200-20002-2000-200200000000000000
χ2622222222-2-2222-2-22-2200-2000-22000200-200000000000000
χ2722222222-2-22-2-2-2-222-200200022000-200-200000000000000
χ2822222222-2-22-2-2-2-222-2002000-2-2000200200000000000000
χ2944-44-44-4-440000-400000000000000000000000000022−220000
χ3044-44-44-4-440000-4000000000000000000000000000−22220000
χ3144-44-44-4-4-400004000000000000000000000000000002i2−2i200
χ3244-44-44-4-4-40000400000000000000000000000000000−2i22i200
χ334-44-4-444-40004i−4i0000000000000000000000002-22i−2i000000
χ344-44-4-444-40004i−4i000000000000000000000000-22−2i2i000000
χ354-44-4-444-4000−4i4i0000000000000000000000002-2−2i2i000000
χ364-44-4-444-4000−4i4i000000000000000000000000-222i−2i000000
χ374-4-44-4-4440040000-400000000000000000002i2−2i20000000000
χ384-4-44-4-4440040000-40000000000000000000−2i22i20000000000
χ394-4-44-4-44400-4000040000000000000000022−22000000000000
χ404-4-44-4-44400-40000400000000000000000−2222000000000000
χ414-4-4-444-44040000-40004i−4i000000000000000000000000000
χ424-4-4-444-44040000-4000−4i4i000000000000000000000000000
χ434-4-4-444-440-4000040000004-4000000000000000000000000
χ444-4-4-444-440-400004000000-44000000000000000000000000
χ45888-8-8-8-88000000000000000000000000000000000000000
χ4688-8-88-88-8000000000000000000000000000000000000000
χ478-8888-8-8-8000000000000000000000000000000000000000

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