Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11719342 |
| Fitting | C2×C13×C22⋊Q8 ⋊ C2 |
| Sylow | C13 ⋊ C2×#551 |
1328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
218 conjugacy classes — view the full character table.
| maximal subgroup of | #15829192, #15879059, #16022796, … |
| maximal normal subgroup of | #15829192, #15879059, #16022796, … |
| maximal quotient of | C2×#13117682, C2×#13117683, C2×#13117694, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 18008);