Finite Group DatabasebetaFinite Group Databasebeta| order | 944 |
| isoclinism | isoclinic class of D59 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C4 |
| direct product | C4×Dic59 |
| unambiguous semidirect product | C59⋊C42 |
| derived, Sylow | C59 ⋊ C42 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2×C4 | D59 |
| commutator, hypocenter | C59 | C42 |
| Frattini | C22 | C2×D59 |
| Fitting | C2×C4×C59 | C2 |
| socle, prime radical, cosocle | C22×C59 | C22 |
| LCS | G ▷ C59 | |
| UCS | C1 ◁ C2×C4 | |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 944 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | C8×Dic59, #14273637, #14273653, … |
| maximal normal subgroup of | C8×Dic59, #14273637, #14273653, … |
| maximal quotient of | C59⋊#95, C8×Dic59, C4×C59⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(944, 10);