Finite Group DatabasebetaFinite Group Databasebeta| order | 39402 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C11 · Schur multiplier (H2) = C1 |
| direct product | D3×(C199⋊C3)⋊C11 |
| Fitting, socle, derived | C3×C199 ⋊ C2×C3×C11 |
| Hall | C3×(C199⋊C3)⋊C11 ⋊ C2 |
| Hall | D3×C199⋊C3 ⋊ C11 |
| Hall | C199⋊C11 ⋊ C3×D3 |
| Hall | C3×C199⋊C3 ⋊ C2×C11 |
| Sylow | C199 ⋊ C3×D3×C11 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C3×C199 | C2×C3×C11 |
| LCS | G ▷ C3×C199 | |
| UCS | C1 | |
36 conjugacy classes of subgroups.
117 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(39402, 24);