Finite Group DatabasebetaFinite Group Databasebeta| order | 23946 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting, socle, derived, Hall | C13×C307 ⋊ C2×C3 |
| Hall | #26046259 ⋊ C2 |
| Hall | C13×D307 ⋊ C3 |
| Hall | D307 ⋊ C13⋊C3 |
| Sylow | C307 ⋊ C2×C13⋊C3 |
| Sylow | C13 ⋊ D307⋊C3 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C13×C307 | C2×C3 |
| LCS | G ▷ C13×C307 | |
| UCS | C1 | |
16 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3991 |
Polycyclic presentation:
2,3,13,307|d^a=d^306,c^b=c^3,d^b=d^289677 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23946, 15);