Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of #625 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C13 · Schur multiplier (H2) = C2 |
| direct product | C13×#625 |
| Hall | C32×C13 ⋊ D4 |
| Sylow | C32 ⋊ D4×C13 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C13 | D32 |
| commutator, cosocle | C2×C32 | C22×C13 |
| Frattini | C2 | D32×C13 |
| Fitting, socle | C2×C32×C13 | C22 |
| hypocenter | C32 | D4×C13 |
| LCS | G ▷ C2×C32 ▷ C32 | |
| UCS | C1 ◁ C2×C13 | |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
195 conjugacy classes — view the full character table.
| maximal subgroup of | C13×#3774, C13×#3775, #14273043, … |
| maximal normal subgroup of | C13×#3774, C13×#3775, #14273043, … |
| maximal quotient of | C13×#3713, C13×#3715, C13×#3718, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 119);