Finite Group DatabasebetaFinite Group Databasebeta| order | 14630 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×D1045 |
| unambiguous semidirect product | C5⋊(C7×D209) |
| unambiguous semidirect product | C11⋊(C7×D95) |
| unambiguous semidirect product | C19⋊(C7×D55) |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C7 | D1045 |
| commutator, cosocle, hypocenter | C5×C11×C19 | C2×C7 |
| Frattini | C1 | G |
| Fitting, socle | C5×C7×C11×C19 | C2 |
| LCS | G ▷ C5×C11×C19 | |
| UCS | C1 ◁ C7 | |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7315 |
3668 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C7×D19×D55, C7×D11×D95, C7×D5×D209, … |
| maximal normal subgroup of | C7×D19×D55, C7×D11×D95, C7×D5×D209, … |
| maximal quotient of | C7×Dic1045, C2×C7×D1045 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14630, 13);