Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C3×C9 |
| direct product | C27⋊C3×#66526 |
| Fitting | C37×C27⋊C3 ⋊ C9 |
| Sylow | C37 ⋊ C9×C27⋊C3 |
320 conjugacy classes of subgroups; only the 150 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 150 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 999 |
429 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4240);