Finite Group Databasebeta

← Group #503350

Character table — Group #503350

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442244444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-111-11111-1-11111-1-1-1-1-1-1
χ611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111-1-1-1-11-1-11-1-11111-1-111-1-111-111-1-111-1-1-1-11111-1-1
χ811111111111111-1-1-1-11-1-11-1-11111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ9111111-1-111111-11111111-11111-1-1-1-1-1-1-1-11-1-11-11-11-111-1-111-1-11-1
χ10111111-1-111111-11111111-11111-1-1-1-1-1-1-1-1-11-1-111-11-1-1-111-1-111-11
χ11111111-1-111111-11111111-1-1-1-1-1-1-11111-1-11-1-11-1-11-11-1-111-1-1111-1
χ12111111-1-111111-11111111-1-1-1-1-1-1-11111-1-1-11-1-11-11-1111-1-111-1-1-11
χ13111111-1-111111-1-1-1-1-11-1-1-111-1-1-1-1-1-111111-111-11-1-1111-1-1-1-111-11
χ14111111-1-111111-1-1-1-1-11-1-1-111-1-1-1-1-1-11111-111-111-1-11-1-11111-1-11-1
χ15111111-1-111111-1-1-1-1-11-1-1-1-1-111-1-111-1-1111-111-1-111-1-1-11111-1-1-11
χ16111111-1-111111-1-1-1-1-11-1-1-1-1-111-1-111-1-111-111-11-111-111-1-1-1-1111-1
χ172222222222-2-2-220000-200-200222-20022000000000-2-20000000000
χ182222222222-2-2-220000-200-200-2-22-200-2-2000000000220000000000
χ1922222222-2-222-220000-200-22200-2222000000000-2-2000000000000
χ2022222222-2-222-220000-200-2-2-200-22-2-200000000022000000000000
χ2122222222-2-2-2-22222222-2-220000-2-200002200-20000000000000000
χ2222222222-2-2-2-222-2-2-2-222220000-2-20000-2-20020000000000000000
χ23222222-2-222-2-2-2-20000-20020022-2200-2-2000000000-220000000000
χ24222222-2-222-2-2-2-20000-200200-2-2-2200220000000002-20000000000
χ25222222-2-2-2-222-2-20000-200222002-2-2-2000000000-22000000000000
χ26222222-2-2-2-222-2-20000-2002-2-2002-2220000000002-2000000000000
χ27222222-2-2-2-2-2-22-222222-2-2-20000220000-2-20020000000000000000
χ28222222-2-2-2-2-2-22-2-2-2-2-2222-200002200002200-20000000000000000
χ2922-2-22-2002-22-22022-2-2-22-20000000000000000000000002-2002-200
χ3022-2-22-2002-22-22022-2-2-22-2000000000000000000000000-2200-2200
χ3122-2-22-2002-22-220-2-222-2-220000000000000000000000002-200-2200
χ3222-2-22-2002-22-220-2-222-2-22000000000000000000000000-22002-200
χ3322-2-22-200-22-222022-2-2-2-2200000000000000000000002-2002-20000
χ3422-2-22-200-22-222022-2-2-2-220000000000000000000000-2200-220000
χ3522-2-22-200-22-2220-2-222-22-200000000000000000000002-200-220000
χ3622-2-22-200-22-2220-2-222-22-20000000000000000000000-22002-20000
χ374444-4-44400000-4000000000000000000002-20-2200000000000000
χ384444-4-44400000-400000000000000000000-2202-200000000000000
χ394444-4-4-4-400000400000000000000000000220-2-200000000000000
χ404444-4-4-4-400000400000000000000000000-2-202200000000000000
χ4144-4-44-4004-4-44-40000040000000000000000000000000000000000
χ4244-4-44-400-444-4-40000040000000000000000000000000000000000
χ434-44-4004i−4i0000002-22-200002-22-2002i−2i2i−2i2i−2i0000000000000000000
χ444-44-4004i−4i0000002-22-20000-22-2200−2i2i−2i2i2i−2i0000000000000000000
χ454-44-4004i−4i000000-22-2200002-2-22002i−2i−2i2i−2i2i0000000000000000000
χ464-44-4004i−4i000000-22-220000-222-200−2i2i2i−2i−2i2i0000000000000000000
χ474-44-400−4i4i0000002-22-200002-22-200−2i2i−2i2i−2i2i0000000000000000000
χ484-44-400−4i4i0000002-22-20000-22-22002i−2i2i−2i−2i2i0000000000000000000
χ494-44-400−4i4i000000-22-2200002-2-2200−2i2i2i−2i2i−2i0000000000000000000
χ504-44-400−4i4i000000-22-220000-222-2002i−2i−2i2i2i−2i0000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-8-8800000000004-4-4400000000000000000000000000000000000
χ538-8-880000000000-444-400000000000000000000000000000000000

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