Finite Group Databasebeta

← Group #173414

Character table — Group #173414

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444444444448888888888888888161616161616161616161616161616163232
order12222222444444444444444444444488888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ51111111111111111111111-1-111-1-11111111111-1-11-1-11-1-1-1-1-1-11111-1-1
χ61111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-111-1111111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111
χ91111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1111-1-1-111-1-111-1-11-1
χ101111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-111-1-111-11
χ111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11-1-1-1-1111-1-111-1-1111-1
χ121111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-111111-1-111-1-1-11
χ131111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-111-1-1-111-1-11111-1-1-11
χ141111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-111-1-1-1-111-11
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-11111-1-11-1
χ17222222222-222-2-222-2-2-2-22-200000000000000000002-202-20000000000
χ18222222222-222-2-222-2-2-2-22-20000000000000000000-220-220000000000
χ19222222222-2-2-222-2-222-2-22-200000000000000000002-20-220000000000
χ20222222222-2-2-222-2-222-2-22-20000000000000000000-2202-20000000000
χ2122222222-222222-2-2-2-2-2-2-222200-2-20000000000-220000000000000000
χ2222222222-222222-2-2-2-2-2-2-22-2-2002200000000002-20000000000000000
χ2322222222-22-2-2-2-22222-2-2-222200220000000000-2-20000000000000000
χ2422222222-22-2-2-2-22222-2-2-22-2-200-2-20000000000220000000000000000
χ2522222222-2-222-2-2-2-22222-2-2002200220000000000-200-2000000000000
χ2622222222-2-222-2-2-2-22222-2-200-2-200-2-200000000002002000000000000
χ2722222222-2-2-2-22222-2-222-2-2002200-2-20000000000-2002000000000000
χ2822222222-2-2-2-22222-2-222-2-200-2-200220000000000200-2000000000000
χ292-22-2-222-2002i−2i00002i−2i2-200002-2002i−2ii2i2−i2−i222−2−2000000000000i2−i22−200
χ302-22-2-222-2002i−2i00002i−2i2-200002-2002i−2i−i2−i2i2i2−2−222000000000000−i2i2−2200
χ312-22-2-222-2002i−2i00002i−2i2-20000-2200−2i2ii2i2−i2−i222−2−2000000000000−i2i2−2200
χ322-22-2-222-2002i−2i00002i−2i2-20000-2200−2i2i−i2−i2i2i2−2−222000000000000i2−i22−200
χ332-22-2-222-200−2i2i0000−2i2i2-200002-200−2i2ii2i2−i2−i2−2−222000000000000i2−i2−2200
χ342-22-2-222-200−2i2i0000−2i2i2-200002-200−2i2i−i2−i2i2i222−2−2000000000000−i2i22−200
χ352-22-2-222-200−2i2i0000−2i2i2-20000-22002i−2ii2i2−i2−i2−2−222000000000000−i2i22−200
χ362-22-2-222-200−2i2i0000−2i2i2-20000-22002i−2i−i2−i2i2i222−2−2000000000000i2−i2−2200
χ3744-44-44-4-4400000000000-400000000022−2222−220000000000000000000000
χ3844-44-44-4-4400000000000-4000000000−2222−22220000000000000000000000
χ3944-44-44-4-4-400000000000400000000000002i2−2i22i2−2i2000000000000000000
χ4044-44-44-4-4-40000000000040000000000000−2i22i2−2i22i2000000000000000000
χ414-4444-4-4-40400000000000-44-400000000000000000000000000000000
χ424-4444-4-4-40400000000000-4-4400000000000000000000000000000000
χ434-4444-4-4-40-400000000000400004i−4i0000000000000000000000000000
χ444-4444-4-4-40-40000000000040000−4i4i0000000000000000000000000000
χ454-44-4-444-4004i−4i0000−4i4i-44000000000000000000000000000000000000
χ464-44-4-444-400−4i4i00004i−4i-44000000000000000000000000000000000000
χ474-4-44-4-44400004i−4i000000000000000000000000000000002-22i−2i000000
χ484-4-44-4-44400004i−4i00000000000000000000000000000000-22−2i2i000000
χ494-4-44-4-4440000−4i4i000000000000000000000000000000002-2−2i2i000000
χ504-4-44-4-4440000−4i4i00000000000000000000000000000000-222i−2i000000
χ514-4-4-444-440000004-4000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ524-4-4-444-440000004-400000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ534-4-4-444-44000000-44000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ544-4-4-444-44000000-4400000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ55888-8-8-8-88000000000000000000000000000000000000000000000000
χ5688-8-88-88-8000000000000000000000000000000000000000000000000

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