Finite Group Databasebeta

← Group #311902

Character table — Group #311902

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888444444448888888824
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111-11111-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1111-1-111-1-1-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-1-1-11111-11
χ511111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1111111-1-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1111-1-1-1-1111-1
χ9111111111111111111-1-1111111-1-1-1-11111-1-1-1-11-1111-1-11-1-1-1-1-1-111-11
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-11111-1-11-1
χ11111111111111111111-1-11111-1-1111111111111-1-11-1-1-1-1111-1-111-1-1-1-1
χ12111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ13111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-111-111-1-111111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-11111111-1-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ172222222222-2-22-2-22-2-20022-2-200000022-2-2000000-2000020000000000
χ182222222222-2-22-2-22-2-20022-2-2000000-2-22200000020000-20000000000
χ192222222222-2-22-2-22-2-200-2-22200000022-2-200000020000-20000000000
χ202222222222-2-22-2-22-2-200-2-222000000-2-222000000-2000020000000000
χ2122222222-2-222-222-2-2-22200002222-2-200000000-2-20000000000000000
χ2222222222-2-222-222-2-2-2220000-2-2-2-222000000002-20000000000000000
χ2322222222-2-222-222-2-2-2-2-2000022-2-22200000000-220000000000000000
χ2422222222-2-222-222-2-2-2-2-20000-2-222-2-200000000220000000000000000
χ2522-22-2-22-22-2-2-2222-2-22000000002i−2i2i−2i000000000002-22i−2i00000000000
χ2622-22-2-22-22-2-2-2222-2-22000000002i−2i2i−2i00000000000-22−2i2i00000000000
χ2722-22-2-22-22-2-2-2222-2-2200000000−2i2i−2i2i000000000002-2−2i2i00000000000
χ2822-22-2-22-22-2-2-2222-2-2200000000−2i2i−2i2i00000000000-222i−2i00000000000
χ2922-22-2-22-2-2222-2-2-22-22002i−2i2i−2i000000000022-2-20000000000002i−2i0000
χ3022-22-2-22-2-2222-2-2-22-22002i−2i2i−2i0000000000-2-222000000000000−2i2i0000
χ3122-22-2-22-2-2222-2-2-22-2200−2i2i−2i2i000000000022-2-2000000000000−2i2i0000
χ3222-22-2-22-2-2222-2-2-22-2200−2i2i−2i2i0000000000-2-2220000000000002i−2i0000
χ3322-22-2-22-2-22-2-2-22222-2002i−2i−2i2i002i−2i−2i2i00000000000000002-200000000
χ3422-22-2-22-2-22-2-2-22222-2002i−2i−2i2i00−2i2i2i−2i0000000000000000-2200000000
χ3522-22-2-22-2-22-2-2-22222-200−2i2i2i−2i002i−2i−2i2i0000000000000000-2200000000
χ3622-22-2-22-2-22-2-2-22222-200−2i2i2i−2i00−2i2i2i−2i00000000000000002-200000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ3844-44-4-44-44-4444-4-4-44-400000000000000000000000000000000000000
χ394-444-4-4-444400-400-40000000000000000002i2−2i22i2−2i2000000000000000000
χ404-444-4-4-444400-400-4000000000000000000−2i22i2−2i22i2000000000000000000
χ414-444-4-4-44-4-400400400000000000000004-40000000000000000000000
χ424-444-4-4-44-4-40040040000000000000000-440000000000000000000000
χ434-44-44-44-4004-404-400000000000000000000000000000000000002i2−2i200
χ444-44-44-44-4004-404-40000000000000000000000000000000000000−2i22i200
χ454-44-44-44-400-440-440000000004i−4i000000000000000000000000000000
χ464-44-44-44-400-440-44000000000−4i4i000000000000000000000000000000
χ474-4-4444-4-44-400-4004000000000000004i−4i000000000000000000000000
χ484-4-4444-4-44-400-400400000000000000−4i4i000000000000000000000000
χ494-4-4444-4-4-4400400-40000000000000000002i2−2i2−2i22i2000000000000000000
χ504-4-4444-4-4-4400400-4000000000000000000−2i22i22i2−2i2000000000000000000
χ514-4-4-4-4444004-40-440004-4000000000000000000000000000000000000
χ524-4-4-4-4444004-40-44000-44000000000000000000000000000000000000
χ534-4-4-4-444400-4404-400000000000000000000000000000000022−22000000
χ544-4-4-4-444400-4404-4000000000000000000000000000000000−2222000000
χ55888-8-88-8-8000000000000000000000000000000000000000000000000
χ5688-8-88-8-88000000000000000000000000000000000000000000000000

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