Finite Group Databasebeta

← Group #259967

Character table — Group #259967

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444422244444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111111-1-111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-11111
χ51111111111111111111111-1-11111111-1-1111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-111111-1-1-1-11111-111-1-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ9111111111111-1-1-1-11-1-111111111111-111-1-1-1-1-1-1-11-1-11-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-11111111-1-1-1-1-111-1-11111-11-1-11-11-1-1-111-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-1-11111-11111-1-1-1-1-1-111-1-1-11-1-11111-1-1-1-111
χ12111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-111111111-1-111-1-1-1111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11-1-1111-1-1111111-1-1-1-1-1-1-1-1-11-11-111-1111-1-1-1-111-1-111
χ14111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-111111-11-111-11-1-11111-1-111-1-1
χ15111111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-111-1-1-1-111-11-111-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-111111111-11-111-111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-200220000-200-2-200000002-2000000000000000
χ182222222222222222-2-2-2-2-2-200-2-20000-200220000000-22000000000000000
χ19222222222222-2-2-2-2-222-2-2-200220000200220000000-2-2000000000000000
χ20222222222222-2-2-2-2-222-2-2-200-2-20000200-2-2000000022000000000000000
χ2122222222-2-2-2-222-2-2222-2-2200000000-20000000002-2000-22000000000000
χ2222222222-2-2-2-222-2-2222-2-2200000000-2000000000-220002-2000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-2220000002-2-200000020000-200000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-2-2-2000000222000000-20000200000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-2200000000200000000022000-2-2000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-22000000002000000000-2-200022000000000000
χ2722222222-2-2-2-2-2-222-22222-222000000-2-2-2000000-20000200000000000000
χ2822222222-2-2-2-2-2-222-22222-2-2-2000000-22200000020000-200000000000000
χ2922-2-2-222-222-2-20000-2002-222i−2i0022-2-202i−2i0000000000000000002i−2i000000
χ3022-2-2-222-222-2-20000-2002-222i−2i00-2-22202i−2i000000000000000000−2i2i000000
χ3122-2-2-222-222-2-20000-2002-22−2i2i0022-2-20−2i2i000000000000000000−2i2i000000
χ3222-2-2-222-222-2-20000-2002-22−2i2i00-2-2220−2i2i0000000000000000002i−2i000000
χ3322-2-2-222-2-2-22200002002-2-22i−2i0000000−2i2i002i2i−2i−2i000000000000002-20000
χ3422-2-2-222-2-2-22200002002-2-22i−2i0000000−2i2i00−2i−2i2i2i00000000000000-220000
χ3522-2-2-222-2-2-22200002002-2-2−2i2i00000002i−2i002i2i−2i−2i00000000000000-220000
χ3622-2-2-222-2-2-22200002002-2-2−2i2i00000002i−2i00−2i−2i2i2i000000000000002-20000
χ37444-4-4-4-4400004i−4i0000000000000000000000000000000002-22i−2i00000000
χ38444-4-4-4-4400004i−4i000000000000000000000000000000000-22−2i2i00000000
χ39444-4-4-4-440000−4i4i0000000000000000000000000000000002-2−2i2i00000000
χ40444-4-4-4-440000−4i4i000000000000000000000000000000000-222i−2i00000000
χ4144-4-4-444-444-4-40000400-44-40000000000000000000000000000000000000
χ4244-4-4-444-4-4-4440000-400-4440000000000000000000000000000000000000
χ434-444-44-4-40000000004i−4i00000002-22-2000002i−2i2i−2i00000000000000000000
χ444-444-44-4-40000000004i−4i0000000-22-2200000−2i2i−2i2i00000000000000000000
χ454-444-44-4-4000000000−4i4i00000002-22-200000−2i2i−2i2i00000000000000000000
χ464-444-44-4-4000000000−4i4i0000000-22-22000002i−2i2i−2i00000000000000000000
χ474-44-44-44-44-44-400000000000000000000000000000000000000000002i2−2i200
χ484-44-44-44-44-44-40000000000000000000000000000000000000000000−2i22i200
χ494-44-44-44-4-44-440000000000000000000000000000000000000000000002i2−2i2
χ504-44-44-44-4-44-44000000000000000000000000000000000000000000000−2i22i2
χ514-4-44-4-4444-4-440000000000004-4000000000000000000000000000000000
χ524-4-44-4-4444-4-44000000000000-44000000000000000000000000000000000
χ534-4-44-4-444-444-40000000000000000000004-4000000000000000000000000
χ544-4-44-4-444-444-4000000000000000000000-44000000000000000000000000
χ554-4-4-444-440000004-400000000002-2-22000002-2-2200000000000000000000
χ564-4-4-444-440000004-40000000000-222-200000-222-200000000000000000000
χ574-4-4-444-44000000-4400000000002-2-2200000-222-200000000000000000000
χ584-4-4-444-44000000-440000000000-222-2000002-2-2200000000000000000000
χ5988-888-8-8-8000000000000000000000000000000000000000000000000000

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