Finite Group Databasebeta

← Group #339696

Character table — Group #339696

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888884444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-1-11-1
χ31111111111111111111111-1-1-1-11111-1-1-1-11-111111-1-1-1-1-1-1-111-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-11111-1-11-1-1
χ511111111111111111111-1-11111111111111-111-1-1-1-11111-1-1-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111111-11
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-1-1-111-1-111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-11-1-111-1-111-111
χ9111111111111111111-1-111111111111111-11-1-11-1-11-1-1-1-11111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-11-1-11-1-111-1-1-1-11-11
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111111-11-11-1-1-111-1-111-1-1-111
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-111-1-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1111111111-1-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-1-1-1111-1-1
χ17222222222-2-22-2-222-2-22200000022-2-2000020-2-2000000000000000
χ18222222222-2-22-2-222-2-222000000-2-2220000-202-2000000000000000
χ19222222222-2-22-2-222-2-2-2-200000022-2-20000-2022000000000000000
χ20222222222-2-22-2-222-2-2-2-2000000-2-222000020-22000000000000000
χ2122222222-222-222-2-2-2-2002222-2-2000000000200-200-200000000000
χ2222222222-222-222-2-2-2-20022-2-222000000000-200-200200000000000
χ2322222222-222-222-2-2-2-200-2-222-2-2000000000-200200200000000000
χ2422222222-222-222-2-2-2-200-2-2-2-222000000000200200-200000000000
χ2522-22-2-22-2-2-2-2222-22-220000000000000000000002i−2i0002-22i−2i00000
χ2622-22-2-22-2-2-2-2222-22-220000000000000000000002i−2i000-22−2i2i00000
χ2722-22-2-22-2-2-2-2222-22-22000000000000000000000−2i2i0002-2−2i2i00000
χ2822-22-2-22-2-2-2-2222-22-22000000000000000000000−2i2i000-222i−2i00000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-44-4-404-404-400000000000000002222−22−220000000000000000000
χ31444-4-44-4-404-404-40000000000000000−22−2222220000000000000000000
χ32444-4-44-4-40-440-44000000004-400000000000000000000000000000
χ33444-4-44-4-40-440-4400000000-4400000000000000000000000000000
χ3444-44-4-44-4444-4-4-44-4-4400000000000000000000000000000000000
χ3544-44-4-44-44-4-4-4444-44-400000000000000000000000000000000000
χ3644-44-4-44-4-4444-4-4-444-400000000000000000000000000000000000
χ3744-4-44-4-4404-40-4400000000000000000000000000000000002i2−2i2000
χ3844-4-44-4-4404-40-440000000000000000000000000000000000−2i22i2000
χ3944-4-44-4-440-4404-40000004i−4i0000000000000000000000000000000
χ4044-4-44-4-440-4404-4000000−4i4i0000000000000000000000000000000
χ414-4444-4-4-4400-400-440000000000000000000000000022−22000000000
χ424-4444-4-4-4400-400-4400000000000000000000000000−2222000000000
χ434-4444-4-4-4-4004004-4004-4000000000000000000000000000000000
χ444-4444-4-4-4-4004004-400-44000000000000000000000000000000000
χ454-4-44-44-44400400-4-4000000000000002i2−2i22i2−2i20000000000000000000
χ464-4-44-44-44400400-4-400000000000000−2i22i2−2i22i20000000000000000000
χ474-4-44-44-44-400-400440000000000004-400000000000000000000000
χ484-4-44-44-44-400-40044000000000000-4400000000000000000000000
χ494-4-4-4444-400000000000000002i2−2i222−22002i−2i−2i2i0000000000000000000
χ504-4-4-4444-400000000000000002i2−2i2−222200−2i2i2i−2i0000000000000000000
χ514-4-4-4444-40000000000000000−2i22i222−2200−2i2i2i−2i0000000000000000000
χ524-4-4-4444-40000000000000000−2i22i2−2222002i−2i−2i2i0000000000000000000
χ538-88-8-8-888000000000000000000000000000000000000000000000

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