Finite Group DatabasebetaFinite Group Databasebeta| order | 1936 |
| isoclinism | isoclinic class of D121 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C4 |
| direct product | C4×Dic121 |
| unambiguous semidirect product | C121⋊C42 |
| derived, Sylow | C121 ⋊ C42 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C4 | D121 |
| commutator, hypocenter | C121 | C42 |
| Frattini, socle, prime radical | C22×C11 | C2×D11 |
| Fitting | C2×C4×C121 | C2 |
| cosocle | C22×C121 | C22 |
| LCS | G ▷ C121 | |
| UCS | C1 ◁ C2×C4 | |
45 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1936 |
496 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1936, 10);