Finite Group DatabasebetaFinite Group Databasebeta| order | 24642 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
| direct product | D37×#66526 |
| Fitting, socle, derived, Sylow | C372 ⋊ C2×C9 |
| Hall | C37×#66526 ⋊ C2 |
| Hall | C37×D37 ⋊ C9 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C372 | C2×C9 |
| prime radical | D37×C37⋊C3 | C3 |
| cosocle | C37×C37⋊C3 | C2×C3 |
| LCS | G ▷ C372 | |
| UCS | C1 | |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 666 |
260 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24642, 47);