Finite Group DatabasebetaFinite Group Databasebeta| order | 11948 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| direct product | D29×D103 |
| unambiguous semidirect product | (D29×C103)⋊C2 |
| unambiguous semidirect product | (C29×D103)⋊C2 |
| unambiguous semidirect product | D2987⋊C2 |
| Fitting, socle, derived, Hall | C29×C103 ⋊ C22 |
| Sylow | C103 ⋊ C2×D29 |
| Sylow | C29 ⋊ C2×D103 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C29×C103 | C22 |
| LCS | G ▷ C29×C103 | |
| UCS | C1 | |
20 conjugacy classes of subgroups.
848 conjugacy classes — view the full character table.
| maximal subgroup of | D29×D103⋊C3, C3×D29×D103, D87×D103, … |
| maximal normal subgroup of | D29×D103⋊C3, C3×D29×D103 |
| maximal quotient of | C3×D29×D103, D87×D103, D29×D309, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11948, 8);