Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of #11757682 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×#11757682 |
| unambiguous semidirect product | (#6897⋊C2)⋊C4 |
| Fitting | C2×#6897 ⋊ C4 |
| derived | C92 ⋊ C2×C3×C4 |
| Sylow | #6897 ⋊ C2×C4 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2 | #11757682 |
| commutator, hypocenter | C92 | C2×C3×C4 |
| Frattini | C32 | C2×C3×#157 |
| Fitting | C2×#6897 | C4 |
| socle | C2×C32 | C3×#157 |
| prime radical | C2×#6897⋊C2 | C2 |
| cosocle | C9⋊D9 | C22×C3 |
| LCS | G ▷ C92 | |
| UCS | C1 ◁ C2 | |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 108 |
48 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2662);