Finite Group Databasebeta

← Group #340421

Character table — Group #340421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888884444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11
χ31111111111111111111111-1-11111-1-1-1-1-1-11-111111-111-1-1-1-1-1-11-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1111-1-1-111-1-111-11-1
χ511111111111111111111-1-1111111111111-1-1111-1-1-1-1-1-1-11111-1-1-1
χ611111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-11-1-111-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-11-1-1111-1-1-1-1111-11
χ9111111111111111111-1-11111111111111111-1-1-1-1-111111-1-1-1-1-1-1-1
χ10111111111111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-11-1-1-1-1-1-11111-1
χ11111111111111111111-1-111-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-11111-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-11111-1-11-11
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-111-11111-1-111-1-11
χ15111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1111-1-11111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-111111-1-111-1-1-11-1
χ172222222222-2-2-222-2-2-222000022-2-2000000002-2-200000000000000
χ182222222222-2-2-222-2-2-2220000-2-22200000000-22-200000000000000
χ192222222222-2-2-222-2-2-2-2-2000022-2-200000000-22200000000000000
χ202222222222-2-2-222-2-2-2-2-20000-2-222000000002-2200000000000000
χ2122222222-2-2222-2-22-2-20022220000-2-20000-2200000-200000000000
χ2222222222-2-2222-2-22-2-20022-2-20000220000-2-200000200000000000
χ2322222222-2-2222-2-22-2-200-2-2220000-2-200002-200000200000000000
χ2422222222-2-2222-2-22-2-200-2-2-2-200002200002200000-200000000000
χ252-2-2-222-22-2-2-2-222222-20000000000000000000002-20002-2002-2000
χ262-2-2-222-22-2-2-2-222222-20000000000000000000002-2000-2200-22000
χ272-2-2-222-22-2-2-2-222222-2000000000000000000000-220002-200-22000
χ282-2-2-222-22-2-2-2-222222-2000000000000000000000-22000-22002-2000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-44-4-44-40004-4000000000000000000000000000000022−2200000
χ31444-4-44-4-44-40004-40000000000000000000000000000000−222200000
χ32444-4-44-4-4-44000-440004-4000000000000000000000000000000000
χ33444-4-44-4-4-44000-44000-44000000000000000000000000000000000
χ3444-44-4-4-44004-4400-40000004-400000000000000000000000000000
χ3544-44-4-4-44004-4400-4000000-4400000000000000000000000000000
χ3644-44-4-4-4400-44-4004000000000000002i22i2−2i2−2i20000000000000000000
χ3744-44-4-4-4400-44-400400000000000000−2i2−2i22i22i20000000000000000000
χ384-4444-4-4-4000000000000000022−220022−222-22-20000000000000000000
χ394-4444-4-4-4000000000000000022−2200−2222-22-220000000000000000000
χ404-4444-4-4-40000000000000000−22220022−22-22-220000000000000000000
χ414-4444-4-4-40000000000000000−222200−22222-22-20000000000000000000
χ424-44-4-4-444004-4-400400004-40000000000000000000000000000000
χ434-44-4-4-444004-4-40040000-440000000000000000000000000000000
χ444-44-4-4-44400-44400-4000000000000000000000000002i2−2i2000000000
χ454-44-4-4-44400-44400-400000000000000000000000000−2i22i2000000000
χ464-4-44-444-44-4000-440000000000000002i2−2i2−2i22i20000000000000000000
χ474-4-44-444-44-4000-44000000000000000−2i22i22i2−2i20000000000000000000
χ484-4-44-444-4-440004-4000000000004i−4i0000000000000000000000000
χ494-4-44-444-4-440004-400000000000−4i4i0000000000000000000000000
χ504-4-4-444-444444-4-4-4-44-400000000000000000000000000000000000
χ514-4-4-444-4444-4-44-4-44-4400000000000000000000000000000000000
χ524-4-4-444-44-4-444-444-4-4400000000000000000000000000000000000
χ5388-8-88-88-8000000000000000000000000000000000000000000000

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