Finite Group DatabasebetaFinite Group Databasebeta| order | 26134 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C73 · Schur multiplier (H2) = C1 |
| direct product | C73×D179 |
| unambiguous semidirect product | C179⋊(C2×C73) |
| Fitting, socle, Hall | C73×C179 ⋊ C2 |
| derived, Sylow | C179 ⋊ C2×C73 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C73 | D179 |
| commutator, cosocle, hypocenter | C179 | C2×C73 |
| Frattini | C1 | G |
| Fitting, socle | C73×C179 | C2 |
| LCS | G ▷ C179 | |
| UCS | C1 ◁ C73 | |
8 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13067 |
6643 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26134, 2);