Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×#11757320 |
| derived, Sylow | #6855 ⋊ C2×C4 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C22×C3 | C9⋊D9 |
| commutator, hypocenter | #6855 | C2×C4 |
| Frattini | C2×C33 | C2×C3⋊D3 |
| Fitting | C22×#6855 | C2 |
| socle, prime radical | C22×C33 | C3⋊D3 |
| cosocle | C2×#6855 | C22 |
| LCS | G ▷ #6855 | |
| UCS | C1 ◁ C22×C3 | |
420 conjugacy classes of subgroups.
| transitive degree | μt(G) = 648 |
216 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 546);