Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#6118 |
| Sylow | C13 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | #16782639, #16782641, #16782647, … |
| maximal normal subgroup of | #16782639, #16782641, #16782647, … |
| maximal quotient of | D8×#6118, #16796322, SD16×#6118, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21247);