Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C27 · Schur multiplier (H2) = C32 |
| direct product | C27×#11758605 |
| Fitting | C9×C27×C37 ⋊ C3 |
| Sylow | C37 ⋊ C27×3−1+2 |
220 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 106 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 8991 |
3213 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 2222);