Finite Group Databasebeta

← Group #503596

Character table — Group #503596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244444444422444444422444444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111-1-1111-1-1-1-111-11111-1-111-1-11111-1-1-1-1-1-1
χ6111111111111111-1-1111-1-1-1-111-111-1-111-1-111-1-1-1-11111-1-1
χ7111111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111
χ8111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111
χ9111111-1-11-11111111-1-1-111-1-11-1-11-11-11-11-11-111-1-111-1-11-1
χ10111111-1-11-11111111-1-1-111-1-11-1-11-1-11-11-11-11-1-111-1-1111-1
χ11111111-1-11-11111111-1-1-111-1-1-11-1-111-11-11-11-1-1-111-1-111-11
χ12111111-1-11-11111111-1-1-111-1-1-11-1-11-11-11-11-1111-1-111-1-1-11
χ13111111-1-11-111111-1-1-1-1-1-1-1111-111-11-1-111-1-1111-1-1-1-111-11
χ14111111-1-11-111111-1-1-1-1-1-1-1111-111-1-111-1-111-1-1-11111-1-1-11
χ15111111-1-11-111111-1-1-1-1-1-1-111-111-111-1-111-1-11-1-11111-1-11-1
χ16111111-1-11-111111-1-1-1-1-1-1-111-111-11-111-1-111-111-1-1-1-1111-1
χ172222222222-2-2-2-22222-2-2-2-2-2-200200000000000000000000
χ182222222222-2-2-2-22-2-22-2-2222200-200000000000000000000
χ1922222222-2222-2-2-200-22-2000000000002200-2-20000000000
χ2022222222-2222-2-2-200-22-200000000000-2-200220000000000
χ2122222222-22-2-222-200-2-220000000002200-2-2000000000000
χ2222222222-22-2-222-200-2-22000000000-2-20022000000000000
χ23222222-2-22-2-2-2-2-2222-222-2-22200-200000000000000000000
χ24222222-2-22-2-2-2-2-22-2-2-22222-2-200200000000000000000000
χ25222222-2-2-2-222-2-2-2002-22000000000002-200-220000000000
χ26222222-2-2-2-222-2-2-2002-2200000000000-22002-20000000000
χ27222222-2-2-2-2-2-222-20022-20000000002-200-22000000000000
χ28222222-2-2-2-2-2-222-20022-2000000000-22002-2000000000000
χ2922-2-22-200-202-22-222-20002-2000000000000000002i−2i002i−2i00
χ3022-2-22-200-202-22-222-20002-200000000000000000−2i2i00−2i2i00
χ3122-2-22-200-202-22-22-22000-22000000000000000002i−2i00−2i2i00
χ3222-2-22-200-202-22-22-22000-2200000000000000000−2i2i002i−2i00
χ3322-2-22-200-20-22-2222-2000-220000000000000002i−2i002i−2i0000
χ3422-2-22-200-20-22-2222-2000-22000000000000000−2i2i00−2i2i0000
χ3522-2-22-200-20-22-222-220002-20000000000000002i−2i00−2i2i0000
χ3622-2-22-200-20-22-222-220002-2000000000000000−2i2i002i−2i0000
χ374444-4-4440-4000000000000002-20-22000000000000000000
χ384444-4-4440-400000000000000-2202-2000000000000000000
χ394444-4-4-4-40400000000000000220-2-2000000000000000000
χ404444-4-4-4-40400000000000000-2-2022000000000000000000
χ4144-4-44-400404-4-44-400000000000000000000000000000000
χ4244-4-44-40040-444-4-400000000000000000000000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-80000000000000000004i−4i00000000000000000000000
χ458-88-8000000000000000000−4i4i00000000000000000000000
χ468-8-88008i−8i000000000000000000000000000000000000000
χ478-8-8800−8i8i000000000000000000000000000000000000000

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