Finite Group Databasebeta

← Group #255262

Character table — Group #255262

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222222444424444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-11111
χ4111111111111111111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ51111111111111111111-1-11111-1-111-1-1-11-1111-111-11111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11111-1-111-1-1-11-1-1-11-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-1-1-111-1-1-1-111-1-1111-1111-1-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-111-1-1-1-111-1-11-1-1-11-1-1-11111-1-1-1-11111
χ9111111111111-1-11111-11111-1-111-1-1-11-1-1-11111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-11111-1-111-1-1-11-1-1-1-1-11111-1-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-1-1-111111-1-11111-1-1-1-1-1-1-111-1-11111-1-1
χ12111111111111-1-11111-111-1-1-1-111111-1-111-1-1-1-111-111-1-111-1-1-1-111
χ13111111111111-1-11111-1-1-111-1-1-1-1-1-11-11-11111-1-1-1111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-111-1-1-1-1-1-11-11-11-1-11-1111-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-111-1111-111-11-1-11-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-111-1111-1-1-1-1111111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-220022-2-20022000-2000-20000000000000000
χ1822222222222222-2-2-2-2200-2-2-2-200-2-2000200020000000000000000
χ19222222222222-2-2-2-2-2-2-200222200-2-20002000-20000000000000000
χ20222222222222-2-2-2-2-2-2-200-2-2220022000-200020000000000000000
χ2122222222-2-2-2-2222-2-22-222002-2-2-20000200000000-2000000000000
χ2222222222-2-2-2-2222-2-22-2-2-2002-2220000-2000000002000000000000
χ2322222222-2-2-2-222-222-2-20000-2200002200-2000-2000000000000000
χ2422222222-2-2-2-222-222-2-20000-220000-2-20020002000000000000000
χ2522222222-2-2-2-2-2-22-2-2222200-22-2-20000-2000000002000000000000
χ2622222222-2-2-2-2-2-22-2-222-2-200-22220000200000000-2000000000000
χ2722222222-2-2-2-2-2-2-222-2200002-200002-200-20002000000000000000
χ2822222222-2-2-2-2-2-2-222-2200002-20000-22002000-2000000000000000
χ292-2-222-2-222-22-20022-2-202-200002-2000000000002i−2i000000000002i−2i
χ302-2-222-2-222-22-20022-2-202-200002-200000000000−2i2i00000000000−2i2i
χ312-2-222-2-222-22-20022-2-20-220000-22000000000002i−2i00000000000−2i2i
χ322-2-222-2-222-22-20022-2-20-220000-2200000000000−2i2i000000000002i−2i
χ332-2-222-2-22-22-22002-22-202-20000-2200000002i−2i00000000000002i−2i00
χ342-2-222-2-22-22-22002-22-202-20000-220000000−2i2i0000000000000−2i2i00
χ352-2-222-2-22-22-22002-22-20-2200002-200000002i−2i0000000000000−2i2i00
χ362-2-222-2-22-22-22002-22-20-2200002-20000000−2i2i00000000000002i−2i00
χ374444-4-4-4-400004-40000000000000000000000000002-22-200000000
χ384444-4-4-4-400004-4000000000000000000000000000-22-2200000000
χ394444-4-4-4-40000-440000000000000000000000000002-2-2200000000
χ404444-4-4-4-40000-44000000000000000000000000000-222-200000000
χ4144-4-444-4-444-4-40000000000000000000000000000000000022−220000
χ4244-4-444-4-444-4-400000000000000000000000000000000000−22220000
χ4344-4-444-4-4-4-4440000000000000000000000000000000002i2−2i2000000
χ4444-4-444-4-4-4-444000000000000000000000000000000000−2i22i2000000
χ454-44-44-44-44-4-440000000004i−4i000000000000000000000000000000
χ464-44-44-44-44-4-44000000000−4i4i000000000000000000000000000000
χ474-44-44-44-4-444-40000000000000004i−4i000000000000000000000000
χ484-44-44-44-4-444-4000000000000000−4i4i000000000000000000000000
χ494-4-444-4-444-44-400-4-44400000000000000000000000000000000000
χ504-4-444-4-44-44-4400-44-4400000000000000000000000000000000000
χ5188-8-8-8-888000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-88-888-8000000000000000000000000000000000000000000000

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