Finite Group Databasebeta

← Group #334391

Character table — Group #334391

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444422228888888888882244444488888888224
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11
χ31111111111111111111111-1-1-1-11111-1-1-1-111111-11-1-1-111-1-1-1-11-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1111111-1-11-11-1-1-1-1-11111-11-1
χ511111111111111111111-1-1111111111111-1-111-1-11-111-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1111-1-1-1-1-1-111-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-1-11-11
χ9111111111111111111-1-111111111111111-1-1-1-111-11-1-111-1-111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-1
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-1-1-1111-11
χ13111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-1111-1-111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-11-1
χ172222222222-2-22-2-22-2-22200000022-2-20000002-200-2000000000000
χ182222222222-2-22-2-22-2-222000000-2-222000000-2200-2000000000000
χ192222222222-2-22-2-22-2-2-2-200000022-2-2000000-22002000000000000
χ202222222222-2-22-2-22-2-2-2-2000000-2-2220000002-2002000000000000
χ2122222222-2-222-222-2-2-2002222-2-2000000000000-220-200000000000
χ2222222222-2-222-222-2-2-20022-2-222000000000000-2-20200000000000
χ2322222222-2-222-222-2-2-200-2-222-2-20000000000002-20200000000000
χ2422222222-2-222-222-2-2-200-2-2-2-222000000000000220-200000000000
χ252-2-2-222-22-22-2-2-2222-2200000000000000002-200000000002-22-2000
χ262-2-2-222-22-22-2-2-2222-2200000000000000002-20000000000-22-22000
χ272-2-2-222-22-22-2-2-2222-220000000000000000-2200000000002-2-22000
χ282-2-2-222-22-22-2-2-2222-220000000000000000-220000000000-222-2000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-44-4-4-44400-400-4000000000000000000000000002i2−2i2000000000
χ31444-44-4-4-44400-400-400000000000000000000000000−2i22i2000000000
χ32444-44-4-4-4-4-4004004004-4000000000000000000000000000000000
χ33444-44-4-4-4-4-400400400-44000000000000000000000000000000000
χ3444-4-4-4-444004-404-40000000000000002222−22−220000000000000000000
χ3544-4-4-4-444004-404-4000000000000000−22−2222220000000000000000000
χ3644-4-4-4-44400-440-440000000004-4000000000000000000000000000
χ3744-4-4-4-44400-440-44000000000-44000000000000000000000000000
χ384-444-4-4-44004-40-440000000000000000000000000000022−220000000
χ394-444-4-4-44004-40-4400000000000000000000000000000−22220000000
χ404-444-4-4-4400-4404-4000004-40000000000000000000000000000000
χ414-444-4-4-4400-4404-400000-440000000000000000000000000000000
χ424-44-4-444-40000000000000022−22000022−222-22-20000000000000000000
χ434-44-4-444-40000000000000022−220000−2222-22-220000000000000000000
χ444-44-4-444-400000000000000−2222000022−22-22-220000000000000000000
χ454-44-4-444-400000000000000−22220000−22222-22-20000000000000000000
χ464-4-444-44-44-400-40040000000000000022−22−22220000000000000000000
χ474-4-444-44-44-400-400400000000000000−222222−220000000000000000000
χ484-4-444-44-4-4400400-400000000004-40000000000000000000000000
χ494-4-444-44-4-4400400-40000000000-440000000000000000000000000
χ504-4-4-444-444-4444-4-4-4-4400000000000000000000000000000000000
χ514-4-4-444-444-4-4-4444-44-400000000000000000000000000000000000
χ524-4-4-444-44-4444-4-4-444-400000000000000000000000000000000000
χ5388-88-88-8-8000000000000000000000000000000000000000000000

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