Finite Group DatabasebetaFinite Group Databasebeta| order | 936 |
| isoclinism | isoclinic class of D9 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C13 · Schur multiplier (H2) = C2 |
| direct product | C4×C13×D9 |
| Fitting | C4×C9×C13 ⋊ C2 |
| derived, Sylow | C9 ⋊ C2×C4×C13 |
| Hall | C9×C13 ⋊ C2×C4 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C4×C13 | D9 |
| commutator, hypocenter | C9 | C2×C4×C13 |
| Frattini | C2×C3 | C2×D3×C13 |
| Fitting | C4×C9×C13 | C2 |
| socle | C2×C3×C13 | C2×D3 |
| prime radical | C2×C13×D9 | C2 |
| cosocle | C2×C9 | C22×C13 |
| LCS | G ▷ C9 | |
| UCS | C1 ◁ C4×C13 | |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 468 |
312 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D9×#1055, #14272400, C8×C13×D9, … |
| maximal normal subgroup of | D9×#1055, #14272400, C8×C13×D9, … |
| maximal quotient of | C8×C13×D9, C13×#3663, C4×C13×Dic9, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(936, 33);