Finite Group Databasebeta

← Group #104306

Character table — Group #104306

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222224444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ922222222222-2-222-2-2-2-22-20000000000000000000022-2-200
χ1022222222222-2-222-2-2-2-22-200000000000000000000-2-22200
χ112222222222-222-2-2-2-2-2-2-220000000000002i2i−2i−2i0000000000
χ122222222222-222-2-2-2-2-2-2-22000000000000−2i−2i2i2i0000000000
χ132222222222-2-2-2-2-22222-2-2000022-2-2000000000000000000
χ142222222222-2-2-2-2-22222-2-20000-2-222000000000000000000
χ1522222222-2-2222-2-222-2-22-20000000000000000000000002-2
χ1622222222-2-2222-2-222-2-22-2000000000000000000000000-22
χ1722222222-2-22-2-2-2-2-2-2222222-2-20000000000000000000000
χ1822222222-2-22-2-2-2-2-2-22222-2-2220000000000000000000000
χ1922222222-2-2-22222-2-222-2-20000000022-2-200000000000000
χ2022222222-2-2-22222-2-222-2-200000000-2-22200000000000000
χ2122222222-2-2-2-2-22222-2-2-22000000000000000022-2-2000000
χ2222222222-2-2-2-2-22222-2-2-220000000000000000-2-222000000
χ234444-4-4-4-400400000000-400000000000002-22-20000000000
χ244444-4-4-4-400400000000-40000000000000-22-220000000000
χ254444-4-4-4-400-400000000400000000000002i−2i−2i2i0000000000
χ264444-4-4-4-400-40000000040000000000000−2i2i2i−2i0000000000
χ2744-4-4-4-44400000004-400002i−2i2i−2i0000000000000000000000
χ2844-4-4-4-44400000004-40000−2i2i−2i2i0000000000000000000000
χ2944-4-4-4-4440000000-4400002i−2i−2i2i0000000000000000000000
χ3044-4-4-4-4440000000-440000−2i2i2i−2i0000000000000000000000
χ314-44-44-44-40000000004-40000000000000000002i−2i2i−2i000000
χ324-44-44-44-40000000004-4000000000000000000−2i2i−2i2i000000
χ334-44-44-44-4000000000-440000000000000000002i−2i−2i2i000000
χ344-44-44-44-4000000000-44000000000000000000−2i2i2i−2i000000
χ354-44-4-44-440004-40000000000000000002i2−2i200000000000000
χ364-44-4-44-440004-4000000000000000000−2i22i200000000000000
χ374-44-4-44-44000-4400000000000000002i2−2i20000000000000000
χ384-44-4-44-44000-440000000000000000−2i22i20000000000000000
χ394-4-444-4-444-40000000000000000000000000000000002i2−2i200
χ404-4-444-4-444-4000000000000000000000000000000000−2i22i200
χ414-4-444-4-44-4400000000000000000000000000000002i2−2i20000
χ424-4-444-4-44-440000000000000000000000000000000−2i22i20000
χ434-4-44-444-4000004i−4i00000000002-22i−2i000000000000000000
χ444-4-44-444-4000004i−4i0000000000-22−2i2i000000000000000000
χ454-4-44-444-400000−4i4i00000000002-2−2i2i000000000000000000
χ464-4-44-444-400000−4i4i0000000000-222i−2i000000000000000000
χ4788-8-888-8-8000000000000000000000000000000000000000

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