Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of #92302 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C23 |
| direct product | C22×#6895⋊C2 |
| unambiguous semidirect product | #6895⋊C23 |
| unambiguous semidirect product | (C2×#6895)⋊C22 |
| Fitting | C22×#6895 ⋊ C2 |
| Sylow | #6895 ⋊ C23 |
534 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 112 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
156 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2908);