Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of D117 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C22×D117 |
| Fitting | C22×C9×C13 ⋊ C2 |
| derived, Hall | C9×C13 ⋊ C23 |
| Sylow | C13 ⋊ C22×D9 |
| Sylow | C9 ⋊ C22×D13 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C22 | D117 |
| commutator, cosocle, hypocenter | C9×C13 | C23 |
| Frattini | C3 | C22×D39 |
| Fitting | C22×C9×C13 | C2 |
| socle | C22×C3×C13 | D3 |
| LCS | G ▷ C9×C13 | |
| UCS | C1 ◁ C22 | |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 468 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | #14272421, #14272475, C2×#11745424, … |
| maximal normal subgroup of | #14272421, #14272475, C2×#11745424, … |
| maximal quotient of | C2×Dic234, C2×C4×D117, C2×D468, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 70);