Finite Group Databasebeta

← Group #144607

Character table — Group #144607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222224444888888888888161616161616161616161616323232323232
order12222222224444444444444444244444444444888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1111111111-1-111-1-1-1-1-1-111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-111
χ711111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ9222222222222-2-2-22-200002222-2000000-2-20000000000
χ10222222222222-2-2-22-20000-2-2-2-2-2000000220000000000
χ112222222222-2-222-2-2222220000-20000-2-2000000000000
χ122222222222-2-222-2-22-2-2-2-20000-2000022000000000000
χ132222222222-2-2-2-22-2-20000000020000000022-2-2000000
χ142222222222-2-2-2-22-2-200000000200000000-2-222000000
χ15222222-2-2-2-222222-2-200000000-200000000000000002i−2i
χ16222222-2-2-2-222222-2-200000000-20000000000000000−2i2i
χ17222222-2-2-2-222-2-2-2-220000000020000000000002i−2i0000
χ18222222-2-2-2-222-2-2-2-22000000002000000000000−2i2i0000
χ19222222-2-2-2-2-2-222-22-2000000002000000000000002i−2i00
χ20222222-2-2-2-2-2-222-22-200000000200000000000000−2i2i00
χ21222222-2-2-2-2-2-2-2-222200000000-22-22-200000000000000
χ22222222-2-2-2-2-2-2-2-222200000000-2-22-2200000000000000
χ234444-4-44-44-400000000000000002-2-2200000000000000
χ244444-4-44-44-40000000000000000-222-200000000000000
χ254444-4-4-44-44000000000000000022-2-200000000000000
χ264444-4-4-44-440000000000000000-2-22200000000000000
χ2744-4-400040-4000000022-2-222-2-20000000002-200000000
χ2844-4-400040-4000000022-2-2-2-222000000000-2200000000
χ2944-4-400040-40000000-2-22222-2-2000000000-2200000000
χ3044-4-400040-40000000-2-222-2-2220000000002-200000000
χ314-44-44-40000004i−4i00000002-22-200000002i−2i0000000000
χ324-44-44-40000004i−4i0000000-22-220000000−2i2i0000000000
χ334-44-44-4000000−4i4i00000002-22-20000000−2i2i0000000000
χ344-44-44-4000000−4i4i0000000-22-2200000002i−2i0000000000
χ354-44-4-4400004i−4i000002-22-20000000002i−2i000000000000
χ364-44-4-4400004i−4i00000-22-22000000000−2i2i000000000000
χ374-44-4-440000−4i4i000002-22-2000000000−2i2i000000000000
χ384-44-4-440000−4i4i00000-22-220000000002i−2i000000000000
χ394-4-4400-404000000002-2-222-2-22000000000002-2000000
χ404-4-4400-404000000002-2-22-222-200000000000-22000000
χ414-4-4400-40400000000-222-22-2-2200000000000-22000000
χ424-4-4400-40400000000-222-2-222-2000000000002-2000000
χ4388-8-8000-8080000000000000000000000000000000000
χ448-8-880080-800000000000000000000000000000000000

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