Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C8×C92 · Schur multiplier (H2) = C9 |
| direct product | C92×C3⋊C8 |
| unambiguous semidirect product | C3⋊(C8×C92) |
| derived | C3 ⋊ C8×C92 |
| Sylow | C3×C92 ⋊ C8 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C4×C92 | D3 |
| commutator, hypocenter | C3 | C8×C92 |
| Frattini | C32×C4 | C32×D3 |
| Fitting | C3×C4×C92 | C2 |
| socle, prime radical | C2×C33 | C32×C4 |
| cosocle | C33×C4 | C2×C32 |
| LCS | G ▷ C3 | |
| UCS | C1 ◁ C4×C92 | |
304 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, 674);