Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| isoclinism | isoclinic class of #3358⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C3 |
| direct product | C3×#3363⋊C3 |
| unambiguous semidirect product | #3363⋊C32 |
| unambiguous semidirect product | (C3×#3363)⋊C3 |
| Fitting | C3×#3363 ⋊ C3 |
| Sylow | #3363 ⋊ C32 |
272 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 70 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 384 |
147 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 153613);