Finite Group Databasebeta

← Group #337428

Character table — Group #337428

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888882444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1111-1111-1-1-1-1-1-11-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-111-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111-1-111-1-11
χ511111111111111111111-1-11111111111111-1-11-1-1-11-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1111111-1-11-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-111-1-1-1-11111-1
χ9111111111111111111-1-111111111111111-111-1-1-11-11111-1-1-1-1-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-111
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1111-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-111-1
χ13111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-1-11111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-111111-1-111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-111-1-1-1-11
χ17222222222-2-222-22-2-2-2220022-2-200000000200-2000-200000000000
χ18222222222-2-222-22-2-2-22200-2-22200000000-200-2000200000000000
χ19222222222-2-222-22-2-2-2-2-20022-2-200000000-2002000200000000000
χ20222222222-2-222-22-2-2-2-2-200-2-222000000002002000-200000000000
χ2122222222-222-2-22-22-2-20022000022-2-200000-22000-2000000000000
χ2222222222-222-2-22-22-2-200220000-2-22200000-2-20002000000000000
χ2322222222-222-2-22-22-2-200-2-2000022-2-2000002-20002000000000000
χ2422222222-222-2-22-22-2-200-2-20000-2-2220000022000-2000000000000
χ25222-2-2-2-22-2-2-2222-222-2000000000000000000002i−2i00002i−2i002-2000
χ26222-2-2-2-22-2-2-2222-222-2000000000000000000002i−2i0000−2i2i00-22000
χ27222-2-2-2-22-2-2-2222-222-200000000000000000000−2i2i00002i−2i00-22000
χ28222-2-2-2-22-2-2-2222-222-200000000000000000000−2i2i0000−2i2i002-2000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-4-4-44444-4-4-44-44-400000000000000000000000000000000000
χ31444-4-4-4-444-4-4-4-4444-4400000000000000000000000000000000000
χ32444-4-4-4-44-44444-4-4-4-4400000000000000000000000000000000000
χ3344-44-44-4-44004-40-40000000004-4000000000000000000000000000
χ3444-44-44-4-44004-40-4000000000-44000000000000000000000000000
χ3544-44-44-4-4-400-44040000000000000002i22i2−2i2−2i20000000000000000000
χ3644-44-44-4-4-400-4404000000000000000−2i2−2i22i22i20000000000000000000
χ3744-4-44-44-4400-440-40004-4000000000000000000000000000000000
χ3844-4-44-44-4400-440-4000-44000000000000000000000000000000000
χ3944-4-44-44-4-4004-40400000000000000000000000000000002i2−2i200000
χ4044-4-44-44-4-4004-4040000000000000000000000000000000−2i22i200000
χ414-44-4-444-4000000000000002i2−2i20022−22002i−2i2i−2i0000000000000000000
χ424-44-4-444-4000000000000002i2−2i200−222200−2i2i−2i2i0000000000000000000
χ434-44-4-444-400000000000000−2i22i20022−2200−2i2i−2i2i0000000000000000000
χ444-44-4-444-400000000000000−2i22i200−2222002i−2i2i−2i0000000000000000000
χ454-4-44-4-44404-40040-4000000000000000000000000002i2−2i2000000000
χ464-4-44-4-44404-40040-400000000000000000000000000−2i22i2000000000
χ474-4-44-4-4440-4400-40400004-40000000000000000000000000000000
χ484-4-44-4-4440-4400-4040000-440000000000000000000000000000000
χ494-4-4-444-4404-400-4040000000000000022−22−22220000000000000000000
χ504-4-4-444-4404-400-40400000000000000−222222−220000000000000000000
χ514-4-4-444-440-440040-40000000000004i−4i00000000000000000000000
χ524-4-4-444-440-440040-4000000000000−4i4i00000000000000000000000
χ538-8888-8-8-8000000000000000000000000000000000000000000000

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