Finite Group Databasebeta

← Group #176034

Character table — Group #176034

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-11-1-1-111-1-11-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-11-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11-11-1-1111-1-11-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11-11-1-1-1-11-1-11-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-11111-11-1-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-111-1-1-11-1-11-1-111111111-1-1-1-1
χ9111111111-1-111-1-1111-1-111-1-11111-111-1-1-1-11-1-111-1-111-1-111-1-1
χ10111111111-1-111-1-1111-1-111-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-111
χ11111111111-1-111-1-1111-1-111-1-1-11-1-111111-11-1-1-111-1-1-1-111-1-111
χ12111111111-1-111-1-1111-1-111-1-1-11-1-11-1-111-11-111-1-11111-1-111-1-1
χ13111111111-1-111-1-1111-1-1-1-1111-11-1111-111-1-1-1-1-1-11111-1-1-1-111
χ14111111111-1-111-1-1111-1-1-1-1111-11-11-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111-1-111-1-1111-1-1-1-111-1-1-11-1111-1111-1-1-1-111-1-11111-1-1
χ16111111111-1-111-1-1111-1-1-1-111-1-1-11-1-1-11-11111111-1-111-1-1-1-111
χ1722222222222-2-2-2-22-2-22-200000002-2000200-200000000000000
χ1822222222222-2-2-2-22-2-22-20000000-22000-200200000000000000
χ19222222222-2-2-2-2222-2-2-22000000022000-200-200000000000000
χ20222222222-2-2-2-2222-2-2-220000000-2-2000200200000000000000
χ2122222222-2222-222-22-2-2-2000020-20000200-2000000000000000
χ2222222222-2222-222-22-2-2-20000-2020000-2002000000000000000
χ2322222222-222-22-2-2-2-22-2222220-20000000-20000000000000000
χ2422222222-222-22-2-2-2-22-22-2-2-2-202000000020000000000000000
χ2522222222-2-2-22-2-2-2-22-222000020-20000-2002000000000000000
χ2622222222-2-2-22-2-2-2-22-2220000-2020000200-2000000000000000
χ2722222222-2-2-2-2222-2-222-222-2-20-2000000020000000000000000
χ2822222222-2-2-2-2222-2-222-2-2-222020000000-20000000000000000
χ29444-4-44-4-4000040000-400004-400000000000000000000000000
χ30444-4-44-4-4000040000-40000-4400000000000000000000000000
χ31444-4-44-4-40000-400004004i−4i0000000000000000000000000000
χ32444-4-44-4-40000-40000400−4i4i0000000000000000000000000000
χ3344-44-4-44-400040000-400000000000000000000022−220000000000
χ3444-44-4-44-400040000-4000000000000000000000−22220000000000
χ3544-44-4-44-4000-400004000000000000000000000002i2−2i200000000
χ3644-44-4-44-4000-40000400000000000000000000000−2i22i200000000
χ3744-4-44-4-44000004i−4i00000000000000000000000000000002i−2i2-2
χ3844-4-44-4-44000004i−4i0000000000000000000000000000000−2i2i-22
χ3944-4-44-4-4400000−4i4i00000000000000000000000000000002i−2i-22
χ4044-4-44-4-4400000−4i4i0000000000000000000000000000000−2i2i2-2
χ414-4444-4-4-44000000-40000000000000000000000000022−22000000
χ424-4444-4-4-44000000-400000000000000000000000000−2222000000
χ434-4444-4-4-4-4000000400000000000000000000000000002i2−2i20000
χ444-4444-4-4-4-400000040000000000000000000000000000−2i22i20000
χ454-4-4-4444-404-40000000000000000002i−2i000002i−2i000000000000
χ464-4-4-4444-404-4000000000000000000−2i2i00000−2i2i000000000000
χ474-4-4-4444-40-440000000000000000002i−2i00000−2i2i000000000000
χ484-4-4-4444-40-44000000000000000000−2i2i000002i−2i000000000000
χ498-88-8-8-888000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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