Finite Group Databasebeta

← Group #502682

Character table — Group #502682

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444442224444444444442444444448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-111-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1111-1-11-1-11-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-111111111-1-1
χ511111111111-1-1-1-11111111-1-111-1-1-1-111-1-11-111-111-111111-1-1-1-1-1-1
χ611111111111-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-11-1-11-1-1-1-1-1-1111111
χ711111111111-1-1-1-11111111-1-1-1-111-1-1-1-1111-11-111-111-1-1-1-11111-1-1
χ811111111111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-11-1-11-11111-1-1-1-111
χ9111111-1-111-111111111-1-1-11111-1-1-1-1-1-1111-1-1-11-11-1111-1-111-1-11-1
χ10111111-1-111-111111111-1-1-11111-1-1-1-1-1-111-1-11-1111-1-1-1-111-1-111-11
χ11111111-1-111-111111111-1-1-111-1-111-1-111-1-11-1-11-1-1-111-1-111-1-1111-1
χ12111111-1-111-111111111-1-1-111-1-111-1-111-1-1-1-111-11-11-111-1-111-1-1-11
χ13111111-1-111-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-111-11
χ14111111-1-111-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-111-1-1111-1-1-11111-1-11-1
χ15111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-111-1-1-11-1-11111-1-1-11
χ16111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-111111-1-1-111-1-1-1-1111-1
χ17222222222-220000-2-22-22-2-20000220000220000-200-200000000000
χ18222222222-220000-2-22-22-2-20000-2-20000-2-20000200200000000000
χ1922222222-2220000-2-2-22-22-2002200002200000-200-2000000000000
χ2022222222-2220000-2-2-22-22-200-2-20000-2-2000002002000000000000
χ2122222222-2-22222222-2-2-2-22-2-200002200000-200000000000000000
χ2222222222-2-22-2-2-2-222-2-2-2-22220000-2-200000200000000000000000
χ23222222-2-22-2-20000-2-22-2-2220000220000-2-20000200-200000000000
χ24222222-2-22-2-20000-2-22-2-2220000-2-20000220000-200200000000000
χ25222222-2-2-22-20000-2-2-222-2200220000-2-200000200-2000000000000
χ26222222-2-2-22-20000-2-2-222-2200-2-200002200000-2002000000000000
χ27222222-2-2-2-2-2222222-2-222-2-2-20000-2-200000200000000000000000
χ28222222-2-2-2-2-2-2-2-2-222-2-222-22200002200000-200000000000000000
χ292-2-222-2002-202i2i−2i−2i2-2-220002i−2i00000000000000000002-2002i−2i0000
χ302-2-222-2002-202i2i−2i−2i2-2-220002i−2i0000000000000000000-2200−2i2i0000
χ312-2-222-2002-20−2i−2i2i2i2-2-22000−2i2i00000000000000000002-200−2i2i0000
χ322-2-222-2002-20−2i−2i2i2i2-2-22000−2i2i0000000000000000000-22002i−2i0000
χ332-2-222-200-2202i2i−2i−2i2-22-2000−2i2i0000000000000000000002i−2i002-200
χ342-2-222-200-2202i2i−2i−2i2-22-2000−2i2i000000000000000000000−2i2i00-2200
χ352-2-222-200-220−2i−2i2i2i2-22-20002i−2i0000000000000000000002i−2i00-2200
χ362-2-222-200-220−2i−2i2i2i2-22-20002i−2i000000000000000000000−2i2i002-200
χ374444-4-44400-40000000000000000000000020200-200-20000000000
χ384444-4-44400-400000000000000000000000-20-20020020000000000
χ394444-4-4-4-40040000000000000000000000020-200200-20000000000
χ404444-4-4-4-400400000000000000000000000-20200-20020000000000
χ414-44-4004i−4i0002i−2i2i−2i0000000002-22-22-22i−2i2i−2i0000000000000000000
χ424-44-4004i−4i0002i−2i2i−2i000000000-22-222-2−2i2i−2i2i0000000000000000000
χ434-44-4004i−4i000−2i2i−2i2i0000000002-2-22-222i−2i−2i2i0000000000000000000
χ444-44-4004i−4i000−2i2i−2i2i000000000-222-2-22−2i2i2i−2i0000000000000000000
χ454-44-400−4i4i0002i−2i2i−2i0000000002-2-22-22−2i2i2i−2i0000000000000000000
χ464-44-400−4i4i0002i−2i2i−2i000000000-222-2-222i−2i−2i2i0000000000000000000
χ474-44-400−4i4i000−2i2i−2i2i0000000002-22-22-2−2i2i−2i2i0000000000000000000
χ484-44-400−4i4i000−2i2i−2i2i000000000-22-222-22i−2i2i−2i0000000000000000000
χ494-4-444-4004400000-44-4-40000000000000000000000000000000000
χ504-4-444-400-4-400000-44440000000000000000000000000000000000
χ5188-8-800000004-4-4400000000000000000000000000000000000000
χ5288-8-80000000-444-400000000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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