Finite Group DatabasebetaFinite Group Databasebeta| order | 18940 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5 · Schur multiplier (H2) = C2 |
| direct product | C2×C5×D947 |
| unambiguous semidirect product | C947⋊(C22×C5) |
| unambiguous semidirect product | (C2×C947)⋊(C2×C5) |
| Fitting, socle | C2×C5×C947 ⋊ C2 |
| derived, Sylow | C947 ⋊ C22×C5 |
| Hall | C5×C947 ⋊ C22 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C5 | D947 |
| commutator, cosocle, hypocenter | C947 | C22×C5 |
| Frattini | C1 | G |
| Fitting, socle | C2×C5×C947 | C2 |
| LCS | G ▷ C947 | |
| UCS | C1 ◁ C2×C5 | |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9470 |
4750 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18940, 11);