Finite Group DatabasebetaFinite Group Databasebeta| order | 11908 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×#11745021 |
| Fitting, socle, Hall | C13×C229 ⋊ C4 |
| derived, Sylow | C229 ⋊ C4×C13 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C13 | #11745021 |
| commutator, hypocenter | C229 | C4×C13 |
| Frattini | C1 | G |
| Fitting, socle | C13×C229 | C4 |
| prime radical | C13×D229 | C2 |
| cosocle | D229 | C2×C13 |
| LCS | G ▷ C229 | |
| UCS | C1 ◁ C13 | |
12 conjugacy classes of subgroups.
793 conjugacy classes — view the full character table.
| maximal subgroup of | C13×#11745021⋊C3, #49088189, #49088190, … |
| maximal normal subgroup of | C13×#11745021⋊C3, #49088189, #49088190, … |
| maximal quotient of | C3×C13×#11745021, C13×C3⋊#11745021 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11908, 6);