Finite Group Databasebeta

← Group #261432

Character table — Group #261432

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-11-1-111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-1111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1111-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-111-1-111111111-1-1-1-1
χ9111111111111-1-1111111-1-1-11111-1-1-11-1-11-1111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-11111-1-1-11-1-11-1-1-11-111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-111-1-111-1-11-1-1111-11-1-1-1-11111-1-1-1-111
χ12111111111111-1-1111111-1-1-111-1-111-1-11-1-11-1-1-111111-1-1-1-11111-1-1
χ13111111111111-1-11111-1-1-1-1-1-1-111-1-11-1111-111-11-1-111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-1-1-1-1-111-1-11-1111-1-1-1-1111-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-11111-11-11111-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-11111-11-11-1-11-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-200-2-220022220000-2-2000000000000000000
χ1822222222222222-2-2-2-200-2-2200-2-2-2-2000022000000000000000000
χ19222222222222-2-2-2-2-2-20022-20022-2-20000-22000000000000000000
χ20222222222222-2-2-2-2-2-20022-200-2-22200002-2000000000000000000
χ2122222222-2-2-2-2222-2-22002-2-200000002200000-2-200000000000000
χ2222222222-2-2-2-2222-2-22002-2-20000000-2-2000002200000000000000
χ2322222222-2-2-2-222-222-222-22-2-2-20000200-200000000000000000000
χ2422222222-2-2-2-222-222-2-2-2-22-2220000-200200000000000000000000
χ2522222222-2-2-2-2-2-22-2-2200-22200000002-200000-2200000000000000
χ2622222222-2-2-2-2-2-22-2-2200-2220000000-22000002-200000000000000
χ2722222222-2-2-2-2-2-2-222-2222-22-2-20000-200200000000000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-22-22220000200-200000000000000000000
χ292-2-22-22-2222-2-20022-2-22-20002-200000000002i−2i000000002i−2i000000
χ302-2-22-22-2222-2-20022-2-22-20002-20000000000−2i2i00000000−2i2i000000
χ312-2-22-22-2222-2-20022-2-2-22000-2200000000002i−2i00000000−2i2i000000
χ322-2-22-22-2222-2-20022-2-2-22000-220000000000−2i2i000000002i−2i000000
χ332-2-22-22-22-2-22200-22-222-2000-22000000000000002-20000002-20000
χ342-2-22-22-22-2-22200-22-222-2000-2200000000000000-22000000-220000
χ352-2-22-22-22-2-22200-22-22-220002-2000000000000002-2000000-220000
χ362-2-22-22-22-2-22200-22-22-220002-200000000000000-220000002-20000
χ37444-4-44-4-44-44-4000000000000000000000000000000000000022−2200
χ38444-4-44-4-44-44-40000000000000000000000000000000000000−222200
χ39444-4-44-4-4-44-4400000000000000000000000000000000000000022−22
χ40444-4-44-4-4-44-44000000000000000000000000000000000000000−2222
χ4144-444-4-4-400004-40000000000000000000000000002-22-200000000
χ4244-444-4-4-400004-4000000000000000000000000000-22-2200000000
χ4344-444-4-4-40000-440000000000000000000000000002-2-2200000000
χ4444-444-4-4-40000-44000000000000000000000000000-222-200000000
χ454-4-44-44-4444-4-400-4-44400000000000000000000000000000000000
χ464-4-44-44-44-4-444004-44-400000000000000000000000000000000000
χ474-4-4-4444-44-4-4400000000000004i−4i00000000000000000000000000
χ484-4-4-4444-44-4-440000000000000−4i4i00000000000000000000000000
χ494-4-4-4444-4-444-40000000000000004i−4i000000000000000000000000
χ504-4-4-4444-4-444-4000000000000000−4i4i000000000000000000000000
χ5188-8-8-8-888000000000000000000000000000000000000000000000
χ528-888-8-88-8000000000000000000000000000000000000000000000
χ538-88-88-8-88000000000000000000000000000000000000000000000

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