Finite Group Databasebeta

← Group #299831

Character table — Group #299831

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222444444444488888888888881616161616161616161616161616161616163232
order12224444442444888888444488888888822224444888888888824
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-111-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ911111111111111-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11-111-1-1-1-111-1-11-1
χ1011111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-11-1111-1-1-1-1-1-111-11
χ1111111111111111-1-1-1-1-1-11111-1-1-1-1-111111-11-11-11-1-1-1-1-111-1-111-11
χ1211111111111111-1-1-1-1-1-11111-1-1-1-1-11111-11-11-11-11-1-1-1-11111-1-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-11-1-1111111-1-1-11
χ1411111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-11111-1-1111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-11111-1-111-1-1-11
χ172222222-2-22-2-22-222-2-22200000000-20000002-200-22000000000000
χ182222222-2-22-2-22-222-2-22200000000-2000000-22002-2000000000000
χ192222222-2-22-2-22-2-2-222-2-20000000020000002200-2-2000000000000
χ202222222-2-22-2-22-2-2-222-2-2000000002000000-2-20022000000000000
χ2122222-2-2222-22-2-222-2-2-2-200000000200002-200-2200000000000000
χ2222222-2-2222-22-2-222-2-2-2-20000000020000-22002-200000000000000
χ2322222-2-2222-22-2-2-2-2222200000000-200002200-2-200000000000000
χ2422222-2-2222-22-2-2-2-2222200000000-20000-2-2002200000000000000
χ2522222-2-2-2-222-2-222222-2-22-22-20000-2000000000000002-200000000
χ2622222-2-2-2-222-2-222222-2-2-22-220000-200000000000000-2200000000
χ2722222-2-2-2-222-2-22-2-2-2-2222-22-20000200000000000000-2200000000
χ2822222-2-2-2-222-2-22-2-2-2-222-22-2200002000000000000002-200000000
χ292222-22222-2-2-2-2200000022-2-222-2-200000000000002-20000000000
χ302222-22222-2-2-2-2200000022-2-2-2-2220000000000000-220000000000
χ312222-22222-2-2-2-22000000-2-22222-2-20000000000000-220000000000
χ322222-22222-2-2-2-22000000-2-222-2-22200000000000002-20000000000
χ332222-2-2-2-2-2-2-22220000002-2-220000022-2-20000000000002-2000000
χ342222-2-2-2-2-2-2-22220000002-2-2200000-2-222000000000000-22000000
χ352222-2-2-2-2-2-2-2222000000-222-20000022-2-2000000000000-22000000
χ362222-2-2-2-2-2-2-2222000000-222-200000-2-2220000000000002-2000000
χ374444-444-4-4-444-4-4000000000000000000000000000000000000000
χ384444-4-4-444-44-44-4000000000000000000000000000000000000000
χ3944-4-4-40000400004i−4i00000000000000000000000000000002i−2i2-200
χ4044-4-4-40000400004i−4i0000000000000000000000000000000−2i2i-2200
χ4144-4-4-4000040000−4i4i00000000000000000000000000000002i−2i-2200
χ4244-4-4-4000040000−4i4i0000000000000000000000000000000−2i2i2-200
χ434-4-440004-4000000022−2222−2200000022−2202-22-200000000000000000000
χ444-4-440004-4000000022−2222−22000000−22220-22-2200000000000000000000
χ454-4-440004-40000000−2222−222200000022−220-22-2200000000000000000000
χ464-4-440004-40000000−2222−2222000000−222202-22-200000000000000000000
χ474-4-44000-44000000022−22−2222000022−220002-2-2200000000000000000000
χ484-4-44000-44000000022−22−22220000−2222000-222-200000000000000000000
χ494-4-44000-440000000−222222−22000022−22000-222-200000000000000000000
χ504-4-44000-440000000−222222−220000−22220002-2-2200000000000000000000
χ5188-8-880000-80000000000000000000000000000000000000000000
χ528-88-808-80000000000000000000000000000000000000000000000
χ538-88-80-880000000000000000000000000000000000000000000000

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