Finite Group Databasebeta

← Group #317074

Character table — Group #317074

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222224444444448888888881616161616161616161616161616161632323232
order12222244444444488888888888888822444444888888884488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1111-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-11-1-1-1111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111
χ61111111111111111111111-1-1-1-1-1-1-1-11-1111-111-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-11-1-1111111-1-111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ9111111111111111-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-111-1-1-1-1111-11-1
χ10111111111111111-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-11111-1-111-1-1-11-11
χ11111111111111111-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111-11-11
χ12111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111-1-11111-1-11-11-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-111-1-1-1-1-111-1
χ14111111111111111-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-11111111-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-1-1-1-1-11-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-11111-111-1
χ172222222222-2-2-2-2-22222-2-2-20000000020-22-2000000000000000
χ182222222222-2-2-2-2-22222-2-2-200000000-202-22000000000000000
χ192222222222-2-2-2-2-2-2-2-2-22220000000020-2-22000000000000000
χ202222222222-2-2-2-2-2-2-2-2-222200000000-2022-2000000000000000
χ21222222-2-2-2-2-2-22-2200000002i2i−2i−2i00000000002-200002i−2i000000
χ22222222-2-2-2-2-2-22-2200000002i2i−2i−2i0000000000-220000−2i2i000000
χ23222222-2-2-2-2-2-22-220000000−2i−2i2i2i00000000002-20000−2i2i000000
χ24222222-2-2-2-2-2-22-220000000−2i−2i2i2i0000000000-2200002i−2i000000
χ252222-2-222-2-2-2-2-22200000002i−2i2i−2i000002000-2000000002i−2i0000
χ262222-2-222-2-2-2-2-22200000002i−2i2i−2i00000-2000200000000−2i2i0000
χ272222-2-222-2-2-2-2-2220000000−2i2i−2i2i000002000-200000000−2i2i0000
χ282222-2-222-2-2-2-2-2220000000−2i2i−2i2i00000-20002000000002i−2i0000
χ292222-2-2-2-22222-2-2222-2-222-22-2-2222-2-200000000000000000000
χ302222-2-2-2-22222-2-2222-2-222-2-222-2-2-22200000000000000000000
χ312222-2-2-2-22222-2-22-2-222-2-222-2-22-2-22200000000000000000000
χ322222-2-2-2-22222-2-22-2-222-2-22-222-222-2-200000000000000000000
χ332222-2-2-2-222-2-222-222-2-2-2-2200000000000000002i−2i2i−2i00000000
χ342222-2-2-2-222-2-222-222-2-2-2-220000000000000000−2i2i−2i2i00000000
χ352222-2-2-2-222-2-222-2-2-22222-200000000000000002i−2i−2i2i00000000
χ362222-2-2-2-222-2-222-2-2-22222-20000000000000000−2i2i2i−2i00000000
χ37444444-4-4-4-444-44-400000000000000000000000000000000000
χ384444-4-444-4-4444-4-400000000000000000000000000000000000
χ3944-4-44-44-44-400000000000000002i2−2i22i2−2i200000000000000000000
χ4044-4-44-44-44-40000000000000000−2i22i2−2i22i200000000000000000000
χ4144-4-44-4-44-44000004i−4i4i−4i0000000000000000000000000000000
χ4244-4-44-4-44-4400000−4i4i−4i4i0000000000000000000000000000000
χ4344-4-4-444-4-44000004i−4i−4i4i0000000000000000000000000000000
χ4444-4-4-444-4-4400000−4i4i4i−4i0000000000000000000000000000000
χ4544-4-4-44-444-400000000000000002i2−2i2−2i22i200000000000000000000
χ4644-4-4-44-444-40000000000000000−2i22i22i2−2i200000000000000000000
χ478-88-80000000000000004i2−4i200000000000000000000000000000
χ488-88-8000000000000000−4i24i200000000000000000000000000000
χ498-8-880000008i−8i00000000000000000000000000000000000000
χ508-8-88000000−8i8i00000000000000000000000000000000000000

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