Finite Group DatabasebetaFinite Group Databasebeta| order | 2328 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C8 · Schur multiplier (H2) = C1 |
| direct product | C3×#11715906 |
| Fitting, socle, Hall | C3×C97 ⋊ C8 |
| derived, Sylow | C97 ⋊ C3×C8 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C3 | #11715906 |
| commutator, hypocenter | C97 | C3×C8 |
| Frattini | C1 | G |
| Fitting, socle | C3×C97 | C8 |
| prime radical | C3×D97 | C4 |
| cosocle | #87604 | C2×C3 |
| LCS | G ▷ C97 | |
| UCS | C1 ◁ C3 | |
16 conjugacy classes of subgroups.
60 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#72210639, C3×#13095525, D3×#11715906, … |
| maximal normal subgroup of | C3×#72210639, C3×#13095525, D3×#11715906, … |
Past the SmallGroups library coverage — no SmallGroups id.