Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C34×C8 · Schur multiplier (H2) = C36 |
| direct product | C34×C3⋊C8 |
| unambiguous semidirect product | C3⋊(C34×C8) |
| derived | C3 ⋊ C34×C8 |
| Sylow | C35 ⋊ C8 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C34×C4 | D3 |
| commutator, hypocenter | C3 | C34×C8 |
| Frattini | C4 | C34×D3 |
| Fitting | C35×C4 | C2 |
| socle, prime radical | C2×C35 | C4 |
| cosocle | C3×C4 | C2×C34 |
| LCS | G ▷ C3 | |
| UCS | C1 ◁ C34×C4 | |
5056 conjugacy classes of subgroups.
| transitive degree | μt(G) = 648 |
972 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3434);