Finite Group Databasebeta

← Group #261429

Character table — Group #261429

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444222244444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-111-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ71111111111111111111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ9111111111111-1-11111-111-1-11111-1-11-111-1-1-1-11-11-111-1-111-1-111-1-1
χ10111111111111-1-11111-111-1-11111-1-11-1-1-1-1-1111-11-1-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-111-1-111-1111-1-1-1-1-11-11-1-11111-1-1-1-111
χ12111111111111-1-11111-111-1-111-1-111-11-1-1-1-111-11-1111-1-1-1-11111-1-1
χ13111111111111-1-11111-1-1-1-1-1-1-111-1-1-111111-1-11-1-1111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-1-1-1-1-111-1-1-11-1-111111-1-11-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-1111-11111-1-1-111-1-1-111-1-11111-1-1
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-11111-111-111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2200-2-200222200000000-2-200000000000000
χ1822222222222222-2-2-2-2200-2-200-2-2-2-2000000002200000000000000
χ19222222222222-2-2-2-2-2-2-200220022-2-200000000-2200000000000000
χ20222222222222-2-2-2-2-2-2-2002200-2-222000000002-200000000000000
χ2122222222-2-2-2-2222-2-22-2002-20000002200000000-2-2000000000000
χ2222222222-2-2-2-2222-2-22-2002-2000000-2-20000000022000000000000
χ2322222222-2-2-2-222-222-2-222-22-2-200000000-22000000000000000000
χ2422222222-2-2-2-222-222-2-2-2-2-2222000000002-2000000000000000000
χ2522222222-2-2-2-2-2-22-2-22200-220000002-200000000-22000000000000
χ2622222222-2-2-2-2-2-22-2-22200-22000000-22000000002-2000000000000
χ2722222222-2-2-2-2-2-2-222-22222-2-2-2000000002-2000000000000000000
χ2822222222-2-2-2-2-2-2-222-22-2-22-22200000000-22000000000000000000
χ292-22-2-2-22222-2-20022-2-202-2002-200000000002i−2i00000000002i−2i0000
χ302-22-2-2-22222-2-20022-2-202-2002-20000000000−2i2i0000000000−2i2i0000
χ312-22-2-2-22222-2-20022-2-20-2200-2200000000002i−2i0000000000−2i2i0000
χ322-22-2-2-22222-2-20022-2-20-2200-220000000000−2i2i00000000002i−2i0000
χ332-22-2-2-222-2-22200-22-2202-200-220000002-20000000000002-2000000
χ342-22-2-2-222-2-22200-22-2202-200-22000000-22000000000000-22000000
χ352-22-2-2-222-2-22200-22-220-22002-20000002-2000000000000-22000000
χ362-22-2-2-222-2-22200-22-220-22002-2000000-220000000000002-2000000
χ3744-44-4-44-44-44-40000000000000004i−4i000000000000000000000000
χ3844-44-4-44-44-44-4000000000000000−4i4i000000000000000000000000
χ3944-44-4-44-4-44-4400000000000004i−4i00000000000000000000000000
χ4044-44-4-44-4-44-440000000000000−4i4i00000000000000000000000000
χ414-444-44-4-400004-40000000000000000000000000002i−2i2i−2i00000000
χ424-444-44-4-400004-4000000000000000000000000000−2i2i−2i2i00000000
χ434-444-44-4-40000-440000000000000000000000000002i−2i−2i2i00000000
χ444-444-44-4-40000-44000000000000000000000000000−2i2i2i−2i00000000
χ454-44-4-4-44444-4-400-4-44400000000000000000000000000000000000
χ464-44-4-4-444-4-444004-44-400000000000000000000000000000000000
χ474-4-4-4444-44-4-44000000000000000000000000000000000000022−2200
χ484-4-4-4444-44-4-440000000000000000000000000000000000000−222200
χ494-4-4-4444-4-444-400000000000000000000000000000000000000022−22
χ504-4-4-4444-4-444-4000000000000000000000000000000000000000−2222
χ51888-88-8-8-8000000000000000000000000000000000000000000000
χ5288-8-8-88-88000000000000000000000000000000000000000000000
χ538-8-888-8-88000000000000000000000000000000000000000000000

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