Finite Group DatabasebetaFinite Group Databasebeta| order | 34596 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C2 |
| direct product | C2×#31772350 |
| derived, Hall | #22575711 ⋊ C22 |
| Sylow | C312 ⋊ C2×D9 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2 | #31772350 |
| commutator, cosocle, hypocenter | #22575711 | C22 |
| Frattini | C3 | C2×#19153449 |
| Fitting, socle | C2×C3×C312 | D3 |
| LCS | G ▷ #22575711 | |
| UCS | C1 ◁ C2 | |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 558 |
1062 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34596, 78);