Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C32 · Schur multiplier (H2) = C23×C3 |
| direct product | C22×#92394 |
| Fitting | C22×3−1+4 ⋊ C2 |
| Sylow | 3−1+4 ⋊ C23 |
1196 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 1196 conjugacy classes of subgroups — too many to draw. Only its 251 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
232 conjugacy classes — view the full character table.
| maximal subgroup of | C22×#13091119, C22×(#4207⋊C2)⋊C3, D4×#92394, … |
| maximal normal subgroup of | C22×(#4207⋊C2)⋊C3, D4×#92394, #72259356 |
| maximal quotient of | D4×#92394 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 3765);