Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×#11757417 |
| Sylow | C23 ⋊ #6875 |
148 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 46 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 54 |
136 conjugacy classes — view the full character table.
| maximal subgroup of | C22×#11757417, C2×#11757417⋊C2, #72229362, … |
| maximal normal subgroup of | C22×#11757417, C2×#11757417⋊C2, #72229362, … |
| maximal quotient of | C22×#11757417, #72276047, C2×#72229238 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 983);