Finite Group DatabasebetaFinite Group Databasebeta| order | 11938 |
| isoclinism | isoclinic class of D47 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C127 · Schur multiplier (H2) = C1 |
| direct product | D47×C127 |
| unambiguous semidirect product | C47⋊(C2×C127) |
| Fitting, socle, Hall | C47×C127 ⋊ C2 |
| derived, Sylow | C47 ⋊ C2×C127 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C127 | D47 |
| commutator, cosocle, hypocenter | C47 | C2×C127 |
| Frattini | C1 | G |
| Fitting, socle | C47×C127 | C2 |
| LCS | G ▷ C47 | |
| UCS | C1 ◁ C127 | |
8 conjugacy classes of subgroups.
3175 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D47×D127, C2×D47×C127, C3×D47×C127, … |
| maximal normal subgroup of | D47×D127, C2×D47×C127, C3×D47×C127, … |
| maximal quotient of | C127×Dic47, C2×D47×C127, C3×D47×C127, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11938, 1);