Finite Group DatabasebetaFinite Group Databasebeta| order | 14703 |
| isoclinism | isoclinic class of #92788 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C29 · Schur multiplier (H2) = C1 |
| direct product | C29×#92788 |
| Fitting, socle, Hall | C132×C29 ⋊ C3 |
| derived, Sylow | C132 ⋊ C3×C29 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C29 | #92788 |
| commutator, cosocle, hypocenter | C132 | C3×C29 |
| Frattini | C1 | G |
| Fitting, socle | C132×C29 | C3 |
| LCS | G ▷ C132 | |
| UCS | C1 ◁ C29 | |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4901 |
1711 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D29×#92788, C29×#11759815, C29⋊#11759815, … |
| maximal normal subgroup of | D29×#92788, C29×#11759815, C29⋊#11759815, … |
| maximal quotient of | C2×C29×#92788 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14703, 6);