Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| isoclinism | isoclinic class of #548⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×C4⋊(#131⋊C3) |
| unambiguous semidirect product | C4⋊(C3×#131⋊C3) |
| unambiguous semidirect product | #2906⋊C32 |
| unambiguous semidirect product | (C3×#2906)⋊C3 |
| Fitting | C3×#2906 ⋊ C3 |
| Sylow | #2906 ⋊ C32 |
332 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 98 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 384 |
210 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 153565);