Finite Group Databasebeta

← Group #295026

Character table — Group #295026

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444444488888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-11-1-11-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-1111111111111-1-1-111-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111
χ711111111111111111111-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ9111111111111111111-1-111-1-11111-1-11111-1-1-1-111-11-1-1-1-111-1-111-1-11-1
χ10111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1-111-11
χ11111111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-11
χ12111111111111111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11-111-1-11111-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1111-1-11111-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-111111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-111-1-1-1-111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-111-1-111-1-1-11
χ1722222222222-2-2-2-22-2-22222-2-2-2-200000000000000200-2000000000000
χ1822222222222-2-2-2-22-2-222-2-2-2-22200000000000000-2002000000000000
χ1922222222222-2-2-2-22-2-2-2-22222-2-200000000000000-2002000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-2222200000000000000200-2000000000000
χ2122222222-2-2-22222-2-2-22-2002-200222200000000000-2-20000000000000
χ2222222222-2-2-22222-2-2-22-2002-200-2-2-2-200000000000220000000000000
χ2322222222-2-2-22222-2-2-2-2200-220022-2-200000000000-220000000000000
χ2422222222-2-2-22222-2-2-2-2200-2200-2-222000000000002-20000000000000
χ2522222222-2-2-2-2-2-2-2-2222-200-22000000000000002-200002-20000000000
χ2622222222-2-2-2-2-2-2-2-2222-200-2200000000000000-220000-220000000000
χ2722222222-2-2-2-2-2-2-2-222-22002-2000000000000002-20000-220000000000
χ2822222222-2-2-2-2-2-2-2-222-22002-200000000000000-2200002-20000000000
χ292-22-2-22-2222-22-22-2-22-2002i−2i002i−2i0000000022-2-200000000002i−2i000000
χ302-22-2-22-2222-22-22-2-22-2002i−2i002i−2i00000000-2-2220000000000−2i2i000000
χ312-22-2-22-2222-22-22-2-22-200−2i2i00−2i2i0000000022-2-20000000000−2i2i000000
χ322-22-2-22-2222-22-22-2-22-200−2i2i00−2i2i00000000-2-22200000000002i−2i000000
χ332-22-2-22-2222-2-22-22-2-22002i−2i00−2i2i000022-2-20000000000002i−2i00000000
χ342-22-2-22-2222-2-22-22-2-22002i−2i00−2i2i0000-2-222000000000000−2i2i00000000
χ352-22-2-22-2222-2-22-22-2-2200−2i2i002i−2i000022-2-2000000000000−2i2i00000000
χ362-22-2-22-2222-2-22-22-2-2200−2i2i002i−2i0000-2-2220000000000002i−2i00000000
χ3744-44-44-4-44-440000-40000000000000022−2222−220000000000000000000000
χ3844-44-44-4-44-440000-400000000000000−2222−22220000000000000000000000
χ3944-44-44-4-4-44-4000040000000000000000002i2−2i22i2−2i2000000000000000000
χ4044-44-44-4-4-44-400004000000000000000000−2i22i2−2i22i2000000000000000000
χ4144-4-44-4-440004-4-4400000000000004i−4i00000000000000000000000000
χ4244-4-44-4-440004-4-440000000000000−4i4i00000000000000000000000000
χ4344-4-44-4-44000-444-4000000000004i−4i0000000000000000000000000000
χ4444-4-44-4-44000-444-400000000000−4i4i0000000000000000000000000000
χ454-44-4-44-44-4-444-44-44-4400000000000000000000000000000000000000
χ464-44-4-44-44-4-44-44-4444-400000000000000000000000000000000000000
χ474-4-44-4-44400044-4-4000000000000000000000000000000000002i2−2i20000
χ484-4-44-4-44400044-4-400000000000000000000000000000000000−2i22i20000
χ494-4-44-4-444000-4-444000000000000000000000000000000000000022−2200
χ504-4-44-4-444000-4-4440000000000000000000000000000000000000−222200
χ514-4-4-4444-44-4-4000040000000000000022−22−22220000000000000000000000
χ524-4-4-4444-44-4-40000400000000000000−222222−220000000000000000000000
χ534-4-4-4444-4-4440000-40000000000000000002i2−2i2−2i22i2000000000000000000
χ544-4-4-4444-4-4440000-4000000000000000000−2i22i22i2−2i2000000000000000000
χ55888-8-8-88-8000000000000000000000000000000000000000000000000
χ568-8888-8-8-8000000000000000000000000000000000000000000000000

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