Finite Group Databasebeta

← Group #179017

Character table — Group #179017

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444222444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-1-11-1-111-1-1-111111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-1-11-1-111-1-1-11-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-11-1-1-1111-1-1-1-1-111111111-1-1
χ911111111111-1-1111-1-111-1-1-111-1-1-1-111-1111-1-111-1-111-1-11-1
χ1011111111111-1-1111-1-111-1-1-111-1-1-1-111-11-1-111-1-111-1-111-11
χ1111111111111-1-1111-1-111-1-1-11-11-111-1-11-111-1-111-1-1-1-111-11
χ1211111111111-1-1111-1-111-1-1-11-11-111-1-11-1-1-111-1-11111-1-11-1
χ1311111111111-1-1111-1-1-1-1-111-1111-1-1-1-11111-1-1-1-11111-1-1-11
χ1411111111111-1-1111-1-1-1-1-111-1111-1-1-1-111-1-11111-1-1-1-1111-1
χ1511111111111-1-1111-1-1-1-1-111-1-1-111111-1-111-1-1-1-111-1-1111-1
χ1611111111111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-11111-1-111-1-1-11
χ17222222222-2-2222-2-2-2-2222-2-2-200200000000000000000000
χ18222222222-2-2222-2-2-2-2-2-2222200-200000000000000000000
χ19222222222-2-2-2-22-2-22222-222-200-200000000000000000000
χ20222222222-2-2-2-22-2-222-2-2-2-2-2200200000000000000000000
χ2122222222-22-222-22-2-2200-2000020002-2-2000000000000000
χ2222222222-22-222-22-2-2200-20000-2000-222000000000000000
χ2322222222-22-2-2-2-22-22-200200002000-22-2000000000000000
χ2422222222-22-2-2-2-22-22-20020000-20002-22000000000000000
χ2522222222-2-2222-2-222-200-2000200-22000-200000000000000
χ2622222222-2-2222-2-222-200-2000-2002-2000200000000000000
χ2722222222-2-22-2-2-2-22-220020002002-2000-200000000000000
χ2822222222-2-22-2-2-2-22-22002000-200-22000200000000000000
χ2944-4-4-4-44440000-400004i−4i000000000000000000000000000
χ3044-4-4-4-44440000-40000−4i4i000000000000000000000000000
χ3144-4-4-4-444-40000400000004-4000000000000000000000000
χ3244-4-4-4-444-4000040000000-44000000000000000000000000
χ334-444-4-44-40004i−4i000000000000000000002i−2i2-20000000000
χ344-444-4-44-40004i−4i00000000000000000000−2i2i-220000000000
χ354-444-4-44-4000−4i4i000000000000000000002i−2i-220000000000
χ364-444-4-44-4000−4i4i00000000000000000000−2i2i2-20000000000
χ374-44-44-4-44040000-400000000000000000000002i2−2i200000000
χ384-44-44-4-44040000-40000000000000000000000−2i22i200000000
χ394-44-44-4-440-40000400000000000000000000000022−22000000
χ404-44-44-4-440-400004000000000000000000000000−2222000000
χ414-4-4-4444-40040000-40000000000000000000000000002i2−2i200
χ424-4-4-4444-40040000-4000000000000000000000000000−2i22i200
χ434-4-4-4444-400-400004000000000000000000000000022−220000
χ444-4-4-4444-400-4000040000000000000000000000000−22220000
χ45888-8-88-8-8000000000000000000000000000000000000000
χ4688-888-8-8-8000000000000000000000000000000000000000
χ478-8-88-88-88000000000000000000000000000000000000000

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