Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C35 · Schur multiplier (H2) = C39 |
| direct product | C3×C37⋊H(5,𝔽3) |
| unambiguous semidirect product | (C3×C37)⋊H(5,𝔽3) |
| Fitting | C32×H(3,𝔽3)×C37 ⋊ C3 |
| Sylow | C37 ⋊ C3×H(5,𝔽3) |
6776 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2997 |
1437 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 4024);