Finite Group Databasebeta

← Group #176751

Character table — Group #176751

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424444444444444444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1111-1-1111-1-1-1-1-11-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1111-1-1111-1-1-1-1-11-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-11-1-1-1-1-11-111-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-11-1-1-1-1-11-111-1-11-1-1-1-111111111-1-1
χ9111111111-1-11-1-11111-11111-1-1-1-1-1-111-1-1-11111-1-111-1-111-1-11-1
χ10111111111-1-11-1-11111-11111-1-1-1-1-1-111-1-1-111-1-111-1-111-1-111-11
χ11111111111-1-11-1-11111-111-1-1-1-1-1111-1111-1-1-111-1-111-1-1-1-111-11
χ12111111111-1-11-1-11111-111-1-1-1-1-1111-1111-1-1-1-1-111-1-11111-1-11-1
χ13111111111-1-11-1-11111-1-1-111-111-1-1-1-1-11111-111-1-1-1-11111-1-1-11
χ14111111111-1-11-1-11111-1-1-111-111-1-1-1-1-11111-1-1-11111-1-1-1-1111-1
χ15111111111-1-11-1-11111-1-1-1-1-1-1111111-1-1-11-1111-1-1-1-111-1-1111-1
χ16111111111-1-11-1-11111-1-1-1-1-1-1111111-1-1-11-11-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-2-220000-20000020-2200-200000000000000
χ1822222222222-2-2-2-22-2-220000-200000-202-200200000000000000
χ19222222222-2-2-222-22-2-2-20000200000202-200-200000000000000
χ20222222222-2-2-222-22-2-2-20000200000-20-2200200000000000000
χ2122222222-2222-2-2-2-22-2-222002220000-200-20000000000000000
χ2222222222-2222-2-2-2-22-2-2-2-2002-2-2000020020000000000000000
χ2322222222-222-2222-2-22-20022-20022-200000-2000000000000000
χ2422222222-222-2222-2-22-200-2-2-200-2-22000002000000000000000
χ2522222222-2-2-2222-2-22-222200-2-2-20000-20020000000000000000
χ2622222222-2-2-2222-2-22-22-2-200-2220000200-20000000000000000
χ2722222222-2-2-2-2-2-22-2-2220022200-2-2200000-2000000000000000
χ2822222222-2-2-2-2-2-22-2-22200-2-220022-2000002000000000000000
χ2944-444-4-4-44000000-4000000000000000000000000000022−220000
χ3044-444-4-4-44000000-40000000000000000000000000000−22220000
χ3144-444-4-4-4-400000040000000000000000000000000000002i2−2i200
χ3244-444-4-4-4-40000004000000000000000000000000000000−2i22i200
χ3344-4-4-4-444000000400-40004i−4i000000000000000000000000000
χ3444-4-4-4-444000000400-4000−4i4i000000000000000000000000000
χ3544-4-4-4-444000000-4004000000004-40000000000000000000000
χ3644-4-4-4-444000000-400400000000-440000000000000000000000
χ374-444-4-44-404-400000000000000000000000002i−2i2i−2i0000000000
χ384-444-4-44-404-40000000000000000000000000−2i2i−2i2i0000000000
χ394-444-4-44-40-4400000000000000000000000002i−2i−2i2i0000000000
χ404-444-4-44-40-440000000000000000000000000−2i2i2i−2i0000000000
χ414-44-44-4-4400004i−4i000000000000000000000000002i−2i2-2000000
χ424-44-44-4-4400004i−4i00000000000000000000000000−2i2i-22000000
χ434-44-44-4-440000−4i4i000000000000000000000000002i−2i-22000000
χ444-44-44-4-440000−4i4i00000000000000000000000000−2i2i2-2000000
χ454-4-4-4444-400040000-4004i−4i00000000000000000000000000000
χ464-4-4-4444-400040000-400−4i4i00000000000000000000000000000
χ474-4-4-4444-4000-40000400000004-4000000000000000000000000
χ484-4-4-4444-4000-4000040000000-44000000000000000000000000
χ49888-8-88-8-8000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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