Finite Group Databasebeta

← Group #104307

Character table — Group #104307

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
χ9222222222222-2-2-2-2-2-2-2-220000000000002i2i−2i−2i0000000000
χ10222222222222-2-2-2-2-2-2-2-22000000000000−2i−2i2i2i0000000000
χ112222222222-2-22-2-2-2-2222-20000000000000000000022-2-200
χ122222222222-2-22-2-2-2-2222-200000000000000000000-2-22200
χ132222222222-2-2-22222-2-2-2-2000022-2-2000000000000000000
χ142222222222-2-2-22222-2-2-2-20000-2-222000000000000000000
χ1522222222-2-222222-2-2-2-22-20000000000000000000000002-2
χ1622222222-2-222222-2-2-2-22-2000000000000000000000000-22
χ1722222222-2-222-2-2-22222-2-20000000022-2-200000000000000
χ1822222222-2-222-2-2-22222-2-200000000-2-22200000000000000
χ1922222222-2-2-2-22-2-222-2-22222-2-20000000000000000000000
χ2022222222-2-2-2-22-2-222-2-222-2-2220000000000000000000000
χ2122222222-2-2-2-2-222-2-222-22000000000000000022-2-2000000
χ2222222222-2-2-2-2-222-2-222-220000000000000000-2-222000000
χ234444-4-4-4-400000004-4000000000000000000002-22-2000000
χ244444-4-4-4-400000004-400000000000000000000-22-22000000
χ254444-4-4-4-40000000-44000000000000000000002-2-22000000
χ264444-4-4-4-40000000-4400000000000000000000-222-2000000
χ2744-4-444-4-400004000000-400000000000002-22-20000000000
χ2844-4-444-4-400004000000-40000000000000-22-220000000000
χ2944-4-444-4-40000-4000000400000000000002i−2i−2i2i0000000000
χ3044-4-444-4-40000-400000040000000000000−2i2i2i−2i0000000000
χ3144-4-4-4-444004-400000000000000000002i2−2i200000000000000
χ3244-4-4-4-444004-40000000000000000000−2i22i200000000000000
χ3344-4-4-4-44400-44000000000000000002i2−2i20000000000000000
χ3444-4-4-4-44400-4400000000000000000−2i22i20000000000000000
χ354-44-44-4-440000000004i−4i0000002i−2i2-2000000000000000000
χ364-44-44-4-440000000004i−4i000000−2i2i-22000000000000000000
χ374-44-44-4-44000000000−4i4i0000002i−2i-22000000000000000000
χ384-44-44-4-44000000000−4i4i000000−2i2i2-2000000000000000000
χ394-44-4-444-4000004-40000002i−2i2i−2i0000000000000000000000
χ404-44-4-444-4000004-4000000−2i2i−2i2i0000000000000000000000
χ414-44-4-444-400000-440000002i−2i−2i2i0000000000000000000000
χ424-44-4-444-400000-44000000−2i2i2i−2i0000000000000000000000
χ434-4-444-44-44-40000000000000000000000000000000002i2−2i200
χ444-4-444-44-44-4000000000000000000000000000000000−2i22i200
χ454-4-444-44-4-4400000000000000000000000000000002i2−2i20000
χ464-4-444-44-4-440000000000000000000000000000000−2i22i20000
χ478-8-88-88-88000000000000000000000000000000000000000

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