Finite Group DatabasebetaFinite Group Databasebeta| order | 13950 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C5 · Schur multiplier (H2) = C1 |
| Fitting, socle, derived | C3×C5×C31 ⋊ C2×C3×C5 |
| Hall | C3×C5×(C31⋊C3)⋊C5 ⋊ C2 |
| Hall | C5×ΓL(1,𝔽32) ⋊ C3×D3 |
| Hall | C3×C31⋊C3 ⋊ C5×D5 |
| Sylow | C31 ⋊ C3×C5×D15 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C3×C5×C31 | C2×C3×C5 |
| LCS | G ▷ C3×C5×C31 | |
| UCS | C1 | |
96 conjugacy classes of subgroups.
153 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13950, 96);