Finite Group Databasebeta

← Group #500030

Character table — Group #500030

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444444444888888888888888888888816161616161616161632323232
order12222244224444444444422222244444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111111111111-1-1111111-1-1-1-111-1-1-11-11-1-1-1-1-111-1-1
χ6111111111111-1-1-1-111111111111-1-11111-1-111-1-1-1-111-1-11-11-1-1-1-1-1-111
χ7111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-11-11111-1-111
χ8111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-11111111-1-1
χ9111111-1-1-1-11-1111111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-111-1-11-11-1
χ10111111-1-1-1-11-1111111111-1-111-1-11111-1-1-1-111-1-111-1-1-11-1-1111-1-1-11-11
χ11111111-1-1-1-11-1111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-111-11-11
χ12111111-1-1-1-11-1111111111-1-1-1-11111-1-111-1-111-1-111-1-1-11-1-11-1-1111-11-1
χ13111111-1-1-1-11-1-1-1-1-111111-1-111-1-1-1-111-1-1111111-1-1-1-11-1-111-1-1111-1-11
χ14111111-1-1-1-11-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111-111-1
χ15111111-1-1-1-11-1-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11111-1-1-111-1
χ16111111-1-1-1-11-1-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1111111111-1-111-1-11-1-11
χ172222222222222222-2-2-2-22-2-20000-2-200000000220000-2000000000000
χ18222222222222-2-2-2-2-2-2-2-22-2-200002200000000-2-200002000000000000
χ1922222222-2-2-22000022-2-2-22-20000000000002200002200-20-200000000
χ2022222222-2-2-22000022-2-2-22-2000000000000-2-20000-2-20020200000000
χ2122222222-2-2-220000-2-222-2-22000000000022000022000-20-2000000000
χ2222222222-2-2-220000-2-222-2-220000000000-2-20000-2-2000202000000000
χ23222222-2-222-2-2000022-2-2-2-22000000000000220000-2-20020-200000000
χ24222222-2-222-2-2000022-2-2-2-22000000000000-2-200002200-20200000000
χ25222222-2-222-2-20000-2-222-22-20000000000220000-2-200020-2000000000
χ26222222-2-222-2-20000-2-222-22-20000000000-2-2000022000-202000000000
χ27222222-2-2-2-22-22222-2-2-2-22220000-2-200000000-2-200002000000000000
χ28222222-2-2-2-22-2-2-2-2-2-2-2-2-222200002200000000220000-2000000000000
χ292-2-222-20000202i2i−2i−2i2-22-2-200002-22i−2i002-2000000000000000002i−2i0000
χ302-2-222-20000202i2i−2i−2i2-22-2-20000-222i−2i00-2200000000000000000−2i2i0000
χ312-2-222-20000202i2i−2i−2i-22-22-2002-200−2i2i2-2000000000000000002i−2i000000
χ322-2-222-20000202i2i−2i−2i-22-22-200-2200−2i2i-2200000000000000000−2i2i000000
χ332-2-222-2000020−2i−2i2i2i2-22-2-200002-2−2i2i002-200000000000000000−2i2i0000
χ342-2-222-2000020−2i−2i2i2i2-22-2-20000-22−2i2i00-22000000000000000002i−2i0000
χ352-2-222-2000020−2i−2i2i2i-22-22-2002-2002i−2i2-200000000000000000−2i2i000000
χ362-2-222-2000020−2i−2i2i2i-22-22-200-22002i−2i-22000000000000000002i−2i000000
χ374444-4-444000-40000000000022-2-200-2-22200000000000000000000000
χ384444-4-444000-400000000000-2-2220022-2-200000000000000000000000
χ394444-4-4-4-4000400000000000222200-2-2-2-200000000000000000000000
χ404444-4-4-4-4000400000000000-2-2-2-200222200000000000000000000000
χ414-44-4004i−4i00002i−2i2i−2i000000000000000002-22-22-22i−2i2i−2i0000000000000
χ424-44-4004i−4i00002i−2i2i−2i00000000000000000-22-222-2−2i2i−2i2i0000000000000
χ434-44-4004i−4i0000−2i2i−2i2i000000000000000002-2-22-222i−2i−2i2i0000000000000
χ444-44-4004i−4i0000−2i2i−2i2i00000000000000000-222-2-22−2i2i2i−2i0000000000000
χ454-44-400−4i4i00002i−2i2i−2i000000000000000002-2-22-22−2i2i2i−2i0000000000000
χ464-44-400−4i4i00002i−2i2i−2i00000000000000000-222-2-222i−2i−2i2i0000000000000
χ474-44-400−4i4i0000−2i2i−2i2i000000000000000002-22-22-2−2i2i−2i2i0000000000000
χ484-44-400−4i4i0000−2i2i−2i2i00000000000000000-22-222-22i−2i2i−2i0000000000000
χ494-4-444-40000-4000004-4-44400000000000000000000000000000000000
χ504-4-444-40000-400000-444-4400000000000000000000000000000000000
χ514-4-44-44004-400000000000002-22-200-22-2200000000000000000000000
χ524-4-44-44004-40000000000000-22-22002-22-200000000000000000000000
χ534-4-44-4400-4400000000000002-2-2200-222-200000000000000000000000
χ544-4-44-4400-440000000000000-222-2002-2-2200000000000000000000000
χ5588-8-8000000004-4-440000000000000000000000000000000000000000
χ5688-8-800000000-444-40000000000000000000000000000000000000000

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