Finite Group DatabasebetaFinite Group Databasebeta| order | 28014 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7 · Schur multiplier (H2) = C1 |
| direct product | D69×C29⋊C7 |
| unambiguous semidirect product | C3⋊(D23×C29⋊C7) |
| unambiguous semidirect product | C23⋊(D3×C29⋊C7) |
| unambiguous semidirect product | (C29×D69)⋊C7 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C3×C23×C29 | C2×C7 |
| LCS | G ▷ C3×C23×C29 | |
| UCS | C1 | |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2001 |
396 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28014, 24);