Finite Group Databasebeta

← Group #284751

Character table — Group #284751

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-1-1-11-1111-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-111-1-1-11
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-1-1-1111-1
χ511111111111111111111-1-1111111-1-1-1-111-1-1-1-111-1-1-111111-1-1-1-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11111-11
χ711111111111111111111-1-111-1-1111111111111-11-1-1-11-1-1-1-111-1-111-1-1
χ811111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ9111111111111111111-1-111-1-1111111111111111-11-1-1-1-1-111-1-111-1-1-1-1
χ10111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-11111
χ11111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-11111111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111111-1-1-1-1-11
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-111-1-1-11111-1-111-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1111-1-1-1-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11111111-1-11111-1-1
χ172222222222-2-2-222-2-2-2002200220022-2-2000000-20-2000000000000000
χ182222222222-2-2-222-2-2-2002200-2-200-2-22200000020-2000000000000000
χ192222222222-2-2-222-2-2-200-2-2002200-2-222000000-202000000000000000
χ202222222222-2-2-222-2-2-200-2-200-2-20022-2-2000000202000000000000000
χ2122222222-2-2222-2-22-2-22200-2-200220000-2-2000002000-2000000000000
χ2222222222-2-2222-2-22-2-22200-2-200-2-200002200000-20002000000000000
χ2322222222-2-2222-2-22-2-2-2-2002200220000-2-200000-20002000000000000
χ2422222222-2-2222-2-22-2-2-2-2002200-2-2000022000002000-2000000000000
χ2522-2-2-2-222222-22-2-2-2-2200000000002i−2i2i−2i0000000002i−2i02-20000000000
χ2622-2-2-2-222222-22-2-2-2-2200000000002i−2i2i−2i000000000−2i2i0-220000000000
χ2722-2-2-2-222222-22-2-2-2-220000000000−2i2i−2i2i0000000002i−2i0-220000000000
χ2822-2-2-2-222222-22-2-2-2-220000000000−2i2i−2i2i000000000−2i2i02-20000000000
χ2922-2-2-2-22222-22-2-2-222-22-2002-200002i−2i−2i2i00000000000000002i−2i000000
χ3022-2-2-2-22222-22-2-2-222-22-2002-20000−2i2i2i−2i0000000000000000−2i2i000000
χ3122-2-2-2-22222-22-2-2-222-2-2200-2200002i−2i−2i2i0000000000000000−2i2i000000
χ3222-2-2-2-22222-22-2-2-222-2-2200-220000−2i2i2i−2i00000000000000002i−2i000000
χ3322-2-2-2-222-2-2-22-2222-222-200-22000000000022-2-2000000000000002-200
χ3422-2-2-2-222-2-2-22-2222-222-200-220000000000-2-22200000000000000-2200
χ3522-2-2-2-222-2-2-22-2222-22-22002-2000000000022-2-200000000000000-2200
χ3622-2-2-2-222-2-2-22-2222-22-22002-20000000000-2-222000000000000002-200
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ3844-4-4-4-444-4-44-4444-44-400000000000000000000000000000000000000
χ394-444-4-4-440044-400-400000000000000004i−4i0000000000000000000000
χ404-444-4-4-440044-400-40000000000000000−4i4i0000000000000000000000
χ414-444-4-4-4400-4-4400400000000000000000022−2222−22000000000000000000
χ424-444-4-4-4400-4-44004000000000000000000−2222−2222000000000000000000
χ434-44-44-44-44-40004-400000000000000000000000000000002i2−2i200000000
χ444-44-44-44-44-40004-40000000000000000000000000000000−2i22i200000000
χ454-44-44-44-4-44000-440000000004i−4i000000000000000000000000000000
χ464-44-44-44-4-44000-44000000000−4i4i000000000000000000000000000000
χ474-4-44-444-44-4000-44000000000000000000000000000000000002i2−2i20000
χ484-4-44-444-44-4000-4400000000000000000000000000000000000−2i22i20000
χ494-4-44-444-4-440004-4000004i−4i0000000000000000000000000000000000
χ504-4-44-444-4-440004-400000−4i4i0000000000000000000000000000000000
χ514-4-4-444-44004-4-400400000000000000000022−22−2222000000000000000000
χ524-4-4-444-44004-4-4004000000000000000000−222222−22000000000000000000
χ534-4-4-444-4400-44400-400000000004-40000000000000000000000000000
χ544-4-4-444-4400-44400-40000000000-440000000000000000000000000000
χ55888-8-88-8-8000000000000000000000000000000000000000000000000
χ5688-888-8-8-8000000000000000000000000000000000000000000000000

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