Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of #4169 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C9 · Schur multiplier (H2) = C23×C3 |
| direct product | C22×#92158 |
| Fitting | C22×#6855 ⋊ C2 |
| derived | C3×C9 ⋊ C23×C9 |
| Sylow | #6855 ⋊ C23 |
483 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 483 conjugacy classes of subgroups — too many to draw. Only its 118 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1028);