Finite Group Databasebeta

← Group #261473

Character table — Group #261473

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111-1-11-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-11111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11111-1-111-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-11111-1-111-1-11-1-11-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111-1-1-1-111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-111-1-1-1-1-11-11-1-111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-11111-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-11111-1-1-1-11111-1-1-1-11-1-1-111-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-1-1-1-1-1-1-11-111-11-1111-1-111-1-1-1-111-1-111
χ12111111111111-1-11111-111-1-1-1-1-1-1-1-11-111-11-11-1-111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-111-1-11111-1-1-111-1-1111-1-1-1-11111-1-1-1-111
χ14111111111111-1-11111-1-1-111-1-11111-1-1-111-1-11-1-11111-1-1-1-11111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-111-1-1-111-1111-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-1-1-1-1-1-111-1-1-111-1111-1-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-222200-2-22200-2000-20000000000000000000
χ1822222222222222-2-2-2-22-2-200-2-2-2-200200020000000000000000000
χ19222222222222-2-2-2-2-2-2-2220022-2-200-200020000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2002222002000-20000000000000000000
χ2122222222-2-2-2-2222-2-22-200002-20000020-200-220000000000000000
χ2222222222-2-2-2-2222-2-22-200002-200000-202002-20000000000000000
χ2322222222-2-2-2-222-222-2-20022-2200-2-200200-2000000000000000000
χ2422222222-2-2-2-222-222-2-200-2-2-22002200-2002000000000000000000
χ2522222222-2-2-2-2-2-22-2-2220000-220000020200-2-20000000000000000
χ2622222222-2-2-2-2-2-22-2-2220000-2200000-20-200220000000000000000
χ2722222222-2-2-2-2-2-2-222-2200222-200-2-200-2002000000000000000000
χ2822222222-2-2-2-2-2-2-222-2200-2-22-2002200200-2000000000000000000
χ292-2-2-2222-222-2-20022-2-20002-200002-200000000002i−2i0000002i−2i0000
χ302-2-2-2222-222-2-20022-2-20002-200002-20000000000−2i2i000000−2i2i0000
χ312-2-2-2222-222-2-20022-2-2000-220000-2200000000002i−2i000000−2i2i0000
χ322-2-2-2222-222-2-20022-2-2000-220000-220000000000−2i2i0000002i−2i0000
χ332-2-2-2222-2-2-22200-22-220002-20000-22000000002-20000002-2000000
χ342-2-2-2222-2-2-22200-22-220002-20000-2200000000-22000000-22000000
χ352-2-2-2222-2-2-22200-22-22000-2200002-2000000002-2000000-22000000
χ362-2-2-2222-2-2-22200-22-22000-2200002-200000000-220000002-2000000
χ37444-4-44-4-44-44-4000000000000000000000000000000000000022−2200
χ38444-4-44-4-44-44-40000000000000000000000000000000000000−222200
χ39444-4-44-4-4-44-440000000000000000000000000000000000000002i2−2i2
χ40444-4-44-4-4-44-44000000000000000000000000000000000000000−2i22i2
χ4144-4-44-4-4400004i−4i0000000000000000000000000002i−2i2-200000000
χ4244-4-44-4-4400004i−4i000000000000000000000000000−2i2i-2200000000
χ4344-4-44-4-440000−4i4i0000000000000000000000000002i−2i-2200000000
χ4444-4-44-4-440000−4i4i000000000000000000000000000−2i2i2-200000000
χ454-4-44-44-444-4-4400000000000004-400000000000000000000000000
χ464-4-44-44-444-4-440000000000000-4400000000000000000000000000
χ474-4-44-44-44-444-400000004i−4i00000000000000000000000000000000
χ484-4-44-44-44-444-40000000−4i4i00000000000000000000000000000000
χ494-4-4-4444-444-4-400-4-44400000000000000000000000000000000000
χ504-4-4-4444-4-4-444004-44-400000000000000000000000000000000000
χ5188-88-8-88-8000000000000000000000000000000000000000000000
χ528-8888-8-8-8000000000000000000000000000000000000000000000
χ538-88-8-8-888000000000000000000000000000000000000000000000

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