Finite Group Databasebeta

← Group #178134

Character table — Group #178134

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-1-1111-1-1-111-11-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111111111-1-1-1-1
χ9111111111-1-1-1-111111-1-111-1-1111-111-111-1-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-1-111-1-1111-111-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-111111-1-111-1-11-1-11-1-1111-111-1-1-1-11111-1-1-1-111
χ12111111111-1-1-1-111111-1-111-1-11-1-11-1-11-1-1-1111111-1-1-1-11111-1-1
χ13111111111-1-1-1-111111-1-1-1-111-111-1-1-11111-11-1-111-1-1-1-111-1-111
χ14111111111-1-1-1-111111-1-1-1-111-111-1-1-11-1-11-1111-1-11111-1-111-1-1
χ15111111111-1-1-1-111111-1-1-1-111-1-1-1111-11111-1-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-111-1-1-1111-1-1-111-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-22-2-22000000002-220000-200000000000000
χ1822222222222-2-2-2-2-22-2-2200000000-22-20000200000000000000
χ19222222222-2-222-2-2-22-22-2000000002-2-20000200000000000000
χ20222222222-2-222-2-2-22-22-200000000-2220000-200000000000000
χ2122222222-222222-2-2-22-2-222-2-2-20000000020000000000000000
χ2222222222-222222-2-2-22-2-2-2-222200000000-20000000000000000
χ2322222222-222-2-2-222-2-22-2000002-2-20000002000000000000000
χ2422222222-222-2-2-222-2-22-200000-222000000-2000000000000000
χ2522222222-2-2-222-222-2-2-22000002-22000000-2000000000000000
χ2622222222-2-2-222-222-2-2-2200000-22-20000002000000000000000
χ2722222222-2-2-2-2-22-2-2-22222222-200000000-20000000000000000
χ2822222222-2-2-2-2-22-2-2-2222-2-2-2-220000000020000000000000000
χ294444-4-4-4-40000004-400000000000000000000000000000022−2200
χ304444-4-4-4-40000004-4000000000000000000000000000000−222200
χ314444-4-4-4-4000000-440000000000000000000000000000000022−22
χ324444-4-4-4-4000000-4400000000000000000000000000000000−2222
χ3344-4-44-44-440000000-400000000000000000000022−220000000000
χ3444-4-44-44-440000000-4000000000000000000000−22220000000000
χ3544-4-44-44-4-400000004000000000000000000000002i2−2i200000000
χ3644-4-44-44-4-40000000400000000000000000000000−2i22i200000000
χ3744-4-4-44-440004i−4i000000000000000000000000000002-22i−2i0000
χ3844-4-4-44-440004i−4i00000000000000000000000000000-22−2i2i0000
χ3944-4-4-44-44000−4i4i000000000000000000000000000002-2−2i2i0000
χ4044-4-4-44-44000−4i4i00000000000000000000000000000-222i−2i0000
χ414-44-44-4-4404i−4i000000000000000000002i−2i0002-2000000000000
χ424-44-44-4-4404i−4i00000000000000000000−2i2i000-22000000000000
χ434-44-44-4-440−4i4i000000000000000000002i−2i000-22000000000000
χ444-44-44-4-440−4i4i00000000000000000000−2i2i0002-2000000000000
χ454-4-44-4-444000004000-400004i−4i00000000000000000000000000
χ464-4-44-4-444000004000-40000−4i4i00000000000000000000000000
χ474-4-44-4-44400000-40004004-40000000000000000000000000000
χ484-4-44-4-44400000-4000400-440000000000000000000000000000
χ498-88-8-888-8000000000000000000000000000000000000000000
χ508-8-8888-8-8000000000000000000000000000000000000000000

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