Finite Group DatabasebetaFinite Group Databasebeta| order | 37054 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C191 · Schur multiplier (H2) = C1 |
| direct product | C191×D97 |
| unambiguous semidirect product | C97⋊(C2×C191) |
| Fitting, socle, Hall | C97×C191 ⋊ C2 |
| derived, Sylow | C97 ⋊ C2×C191 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C191 | D97 |
| commutator, cosocle, hypocenter | C97 | C2×C191 |
| Frattini | C1 | G |
| Fitting, socle | C97×C191 | C2 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C191 | |
8 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18527 |
9550 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37054, 1);