Finite Group Databasebeta

← Group #306295

Character table — Group #306295

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-111-1-1-1-11-1-1-11111-1-1-1-111-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-11
χ51111111111111111111111-1-111-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-1-1-111-11
χ61111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-1-11-1
χ71111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-111111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-11111111111111111-11-1-11-1-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-11-1-1111-1-1-1-1-1-111
χ11111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1111111-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1-111-1-1111-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-1-1-111-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1111-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-111-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-111-111111-1-11111-1-1
χ17222222222-2-22-222-2-2-2000022222200-2-20000000-200-20000000000000
χ18222222222-2-22-222-2-2-2000022-2-2-2-200220000000200-20000000000000
χ19222222222-2-22-222-2-2-20000-2-222-2-200220000000-20020000000000000
χ20222222222-2-22-222-2-2-20000-2-2-2-22200-2-2000000020020000000000000
χ2122222222-222-22-2-22-2-222-2-20000002200-2-200002000000-20000000000
χ2222222222-222-22-2-22-2-222-2-2000000-2-200220000-200000020000000000
χ2322222222-222-22-2-22-2-2-2-2220000002200-2-20000-200000020000000000
χ2422222222-222-22-2-22-2-2-2-222000000-2-2002200002000000-20000000000
χ2522-222-2-2-2222-2-22-2-2-222-22-200000000000022-2-2000000002-200000000
χ2622-222-2-2-2222-2-22-2-2-222-22-2000000000000-2-22200000000-2200000000
χ2722-222-2-2-2222-2-22-2-2-22-22-2200000000000022-2-200000000-2200000000
χ2822-222-2-2-2222-2-22-2-2-22-22-22000000000000-2-222000000002-200000000
χ2922-222-2-2-2-2222-2-22-22-22-2-2200002-2002-200000000000000002-2000000
χ3022-222-2-2-2-2222-2-22-22-22-2-220000-2200-220000000000000000-22000000
χ3122-222-2-2-2-2222-2-22-22-2-222-200002-2002-20000000000000000-22000000
χ3222-222-2-2-2-2222-2-22-22-2-222-20000-2200-2200000000000000002-2000000
χ3322-222-2-2-2-2-2-222-222-22000000002-200-22000000002i−2i02i−2i00000000000
χ3422-222-2-2-2-2-2-222-222-22000000002-200-2200000000−2i2i0−2i2i00000000000
χ3522-222-2-2-2-2-2-222-222-2200000000-22002-2000000002i−2i0−2i2i00000000000
χ3622-222-2-2-2-2-2-222-222-2200000000-22002-200000000−2i2i02i−2i00000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ38444-4-4-4-4440040-4-40000000000000000000000000000000000022−220000
χ39444-4-4-4-4440040-4-400000000000000000000000000000000000−22220000
χ40444-4-4-4-44-400-404400000004i−4i00000000000000000000000000000000
χ41444-4-4-4-44-400-40440000000−4i4i00000000000000000000000000000000
χ4244-444-4-4-44-4-4-444-444-400000000000000000000000000000000000000
χ4344-4-4-444-4400-40-440000000004i−4i000000000000000000000000000000
χ4444-4-4-444-4400-40-44000000000−4i4i000000000000000000000000000000
χ4544-4-4-444-4-400404-400000000000000000000000000000000000002i2−2i200
χ4644-4-4-444-4-400404-40000000000000000000000000000000000000−2i22i200
χ474-444-44-4-404-40400-400000000000000000022−2222−22000000000000000000
χ484-444-44-4-404-40400-4000000000000000000−2222−2222000000000000000000
χ494-444-44-4-40-440-40040000000000004i−4i00000000000000000000000000
χ504-444-44-4-40-440-4004000000000000−4i4i00000000000000000000000000
χ514-4-44-4-44404-40-400400000000000000000022−22−2222000000000000000000
χ524-4-44-4-44404-40-4004000000000000000000−222222−22000000000000000000
χ534-4-44-4-4440-440400-400000000000000004i−4i0000000000000000000000
χ544-4-44-4-4440-440400-40000000000000000−4i4i0000000000000000000000
χ558-88-88-88-8000000000000000000000000000000000000000000000000
χ568-8-8-888-88000000000000000000000000000000000000000000000000

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