Finite Group Databasebeta

← Group #173896

Character table — Group #173896

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444444444444444422444488888888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-1-1-1111-1-111-1-11-1-11-1-111111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1111-1-111-11-1-11-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1111-1-111-11-1-11-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-1-1-11111111-1-111-111-1-1-1-1-1111-1-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1-1-11111111-1-111-111-1-1-1-1-1111-1-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-11-11-111-1-1-1-11111-1-1-11
χ12111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-11-11-1-1-11111-1-1-1-1111-1
χ13111111111-1-1-1-1-1-111111-1-11111-1-1-1-1-111-1-1-111111-1-111-1-1-1-111-11
χ14111111111-1-1-1-1-1-111111-1-11111-1-1-1-1-111-1-1-1111-1-111-1-11111-1-11-1
χ15111111111-1-1-1-1-1-111111-1-111-1-1-11111-1-111-1-1-1111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-1-1-111111-1-111-1-1-11111-1-111-1-1-11-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2-2-2-2-22000022200-2-200200-20000000000000000
χ1822222222222-2-2-2-2-2-2-2-220000-2-22002200-20020000000000000000
χ19222222222-2-22222-2-2-2-22000022-2002200-200-20000000000000000
χ20222222222-2-22222-2-2-2-220000-2-2-200-2-20020020000000000000000
χ2122222222-22222-2-2-2-222-2000000-22200220-200-2000000000000000
χ2222222222-22222-2-2-2-222-2000000-2-2-200-2-202002000000000000000
χ2322222222-222-2-22222-2-2-2222200-200000000-200-200000000000000
χ2422222222-222-2-22222-2-2-2-2-2-2-200-200000000200200000000000000
χ2522222222-2-2-222-2-222-2-2-222-2-200200000000-200200000000000000
χ2622222222-2-2-222-2-222-2-2-2-2-22200200000000200-200000000000000
χ2722222222-2-2-2-2-222-2-222-200000022200-2-20-2002000000000000000
χ2822222222-2-2-2-2-222-2-222-20000002-2-200220200-2000000000000000
χ2922-2-22-22-202i−2i002i−2i2-20002i−2i2-20000000000000002−2i2−i20000i2−i22−200
χ3022-2-22-22-202i−2i002i−2i2-20002i−2i2-2000000000000000−22−i2i20000−i2i2−2200
χ3122-2-22-22-202i−2i002i−2i2-2000−2i2i-220000000000000002−2i2−i20000−i2i2−2200
χ3222-2-22-22-202i−2i002i−2i2-2000−2i2i-22000000000000000−22−i2i20000i2−i22−200
χ3322-2-22-22-20−2i2i00−2i2i2-20002i−2i-220000000000000002−2−i2i20000i2−i2−2200
χ3422-2-22-22-20−2i2i00−2i2i2-20002i−2i-22000000000000000−22i2−i20000−i2i22−200
χ3522-2-22-22-20−2i2i00−2i2i2-2000−2i2i2-20000000000000002−2−i2i20000−i2i22−200
χ3622-2-22-22-20−2i2i00−2i2i2-2000−2i2i2-2000000000000000−22i2−i20000i2−i2−2200
χ37444-4-4-4-440004i−4i0000000000000000000000000000002-22i−2i000000
χ38444-4-4-4-440004i−4i000000000000000000000000000000-22−2i2i000000
χ39444-4-4-4-44000−4i4i0000000000000000000000000000002-2−2i2i000000
χ40444-4-4-4-44000−4i4i000000000000000000000000000000-222i−2i000000
χ4144-4-44-44-404i−4i00−4i4i-44000000000000000000000000000000000000
χ4244-4-44-44-40−4i4i004i−4i-44000000000000000000000000000000000000
χ434-4444-4-4-440000000000-400004-4000000000000000000000000000
χ444-4444-4-4-440000000000-40000-44000000000000000000000000000
χ454-4444-4-4-4-4000000000040000000004i−4i0000000000000000000000
χ464-4444-4-4-4-400000000004000000000−4i4i0000000000000000000000
χ474-44-4-444-40000000004-40000000000004i−4i00000000000000000000
χ484-44-4-444-40000000004-4000000000000−4i4i00000000000000000000
χ494-44-4-444-4000000000-44000000004i−4i000000000000000000000000
χ504-44-4-444-4000000000-4400000000−4i4i000000000000000000000000
χ5188-88-88-8-8000000000000000000000000000000000000000000000
χ528-8-88-8-888000000000000000000000000000000000000000000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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