Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22⋊Q8×Dic13 |
| Sylow | C13 ⋊ C4×C22⋊Q8 |
656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | Dic13×#328, #15753810, #15753820, … |
| maximal normal subgroup of | Dic13×#328, #15753810, #15753820, … |
| maximal quotient of | Dic13×#385, Dic13×#387, Dic13×#389, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 7046);