Finite Group DatabasebetaFinite Group Databasebeta| order | 3888 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C9 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊AGL(1,ℤ/27) |
| Fitting | C2×C4×#6875 ⋊ C2 |
| Sylow | #6875 ⋊ C2×D4 |
356 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 105 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
194 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.