Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C35 |
| direct product | C3×(C3×#66526)⋊C9 |
| unambiguous semidirect product | (C37⋊C3)⋊#6855 |
| Fitting | C32×C9×C37 ⋊ C9 |
| Sylow | C37 ⋊ C3×#6855 |
1052 conjugacy classes of subgroups; only the 342 normal subgroups are shown.
This group has 1052 conjugacy classes of subgroups — too many to draw. Only its 342 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2997 |
621 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4205);