Finite Group DatabasebetaFinite Group Databasebeta| order | 5828 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| direct product | D31×D47 |
| unambiguous semidirect product | (C47×D31)⋊C2 |
| unambiguous semidirect product | (C31×D47)⋊C2 |
| unambiguous semidirect product | D1457⋊C2 |
| Fitting, socle, derived, Hall | C31×C47 ⋊ C22 |
| Sylow | C47 ⋊ C2×D31 |
| Sylow | C31 ⋊ C2×D47 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C31×C47 | C22 |
| LCS | G ▷ C31×C47 | |
| UCS | C1 | |
20 conjugacy classes of subgroups.
425 conjugacy classes — view the full character table.
| maximal subgroup of | D47×D31⋊C3, C3×D31×D47, D47×D93, … |
| maximal normal subgroup of | D47×D31⋊C3, C3×D31×D47, D47×D31⋊C5, … |
| maximal quotient of | C3×D31×D47, D47×D93, D31×D141, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5828, 6);