Finite Group Databasebeta

← Group #175344

Character table — Group #175344

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-11-1-1-1-1111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1111111-11-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-11-1-1-1-1-111111-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1
χ9111111111-1-11-1-1-1-1111111-1-111-1-1-11-1-111-1111-1-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-1-1-1111111-1-111-1-1-11-1-111-1-1-11-111-1-111-1-111-1-111
χ11111111111-1-11-1-1-1-1111111-1-1-1-1-111-1-11-1-111111-1-111-1-1-1-111-1-111
χ12111111111-1-11-1-1-1-1111111-1-1-1-1-111-1-11-1-11-1-11111-1-11111-1-111-1-1
χ13111111111-1-11-1-1-1-11111-1-11111-1-1-111-1-1-1111-11-1-1-1-11111-1-1-1-111
χ14111111111-1-11-1-1-1-11111-1-11111-1-1-111-1-1-11-1-1-111111-1-1-1-11111-1-1
χ15111111111-1-11-1-1-1-11111-1-111-1-1-111-11111-111-1-1-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-1-1-11111-1-111-1-1-111-11111-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222-222-2-2-22-2-2000000-2000002-22000-200000000000000
χ1822222222222-222-2-2-22-2-2000000-200000-22-2000200000000000000
χ19222222222-2-2-2-2-222-22-2-20000002000002-2-2000200000000000000
χ20222222222-2-2-2-2-222-22-2-2000000200000-222000-200000000000000
χ2122222222-2222-2-222-2-22-222-2-200-20002000000-2000000000000000
χ2222222222-2222-2-222-2-22-2-2-22200-2000-20000002000000000000000
χ2322222222-222-2-2-2-2-22-2-220000222-2-2-202000000000000000000000
χ2422222222-222-2-2-2-2-22-2-220000-2-222220-2000000000000000000000
χ2522222222-2-2-2222-2-2-2-22-22222002000-2000000-2000000000000000
χ2622222222-2-2-2222-2-2-2-22-2-2-2-2-200200020000002000000000000000
χ2722222222-2-2-2-222222-2-22000022-222-20-2000000000000000000000
χ2822222222-2-2-2-222222-2-220000-2-2-2-2-2202000000000000000000000
χ294444-4-4-4-400004-4000000000000000000000000000000000002-22-2
χ304444-4-4-4-400004-400000000000000000000000000000000000-22-22
χ314444-4-4-4-40000-44000000000000000000000000000000000002-2-22
χ324444-4-4-4-40000-4400000000000000000000000000000000000-222-2
χ3344-4-44-44-4400000000-400000000000000000000000000022−22000000
χ3444-4-44-44-4400000000-4000000000000000000000000000−2222000000
χ3544-4-44-44-4-4000000004000000000000000000000000000002i2−2i20000
χ3644-4-44-44-4-400000000400000000000000000000000000000−2i22i20000
χ3744-4-4-44-440000004i−4i00000000000000000002i−2i002-2000000000000
χ3844-4-4-44-440000004i−4i0000000000000000000−2i2i00-22000000000000
χ3944-4-4-44-44000000−4i4i00000000000000000002i−2i00-22000000000000
χ4044-4-4-44-44000000−4i4i0000000000000000000−2i2i002-2000000000000
χ414-44-444-4-40004000000-404-40000000000000000000000000000000
χ424-44-444-4-40004000000-40-440000000000000000000000000000000
χ434-44-444-4-4000-400000040004i−4i00000000000000000000000000000
χ444-44-444-4-4000-40000004000−4i4i00000000000000000000000000000
χ454-44-4-4-44400000000400-400004i−4i000000000000000000000000000
χ464-44-4-4-44400000000400-40000−4i4i000000000000000000000000000
χ474-44-4-4-44400000000-400400000004-4000000000000000000000000
χ484-44-4-4-44400000000-40040000000-44000000000000000000000000
χ494-4-44-444-404i−4i0000000000000000000000000000002i−2i2-200000000
χ504-4-44-444-404i−4i000000000000000000000000000000−2i2i-2200000000
χ514-4-44-444-40−4i4i0000000000000000000000000000002i−2i-2200000000
χ524-4-44-444-40−4i4i000000000000000000000000000000−2i2i2-200000000
χ538-8-888-8-88000000000000000000000000000000000000000000000

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