Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C34 · Schur multiplier (H2) = C2×C35 |
| direct product | C2×#11758104 |
| Fitting | C23×C3×3−1+2 ⋊ C3 |
| Sylow | C23 ⋊ 3−1+4 |
1072 conjugacy classes of subgroups; only the 484 normal subgroups are shown.
This group has 1072 conjugacy classes of subgroups — too many to draw. Only its 484 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 54 |
232 conjugacy classes — view the full character table.
| maximal subgroup of | C22×#11758104 |
| maximal normal subgroup of | C22×#11758104 |
| maximal quotient of | C22×#11758104 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3740);