Finite Group DatabasebetaFinite Group Databasebeta| order | 26944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C4⋊C8×D421 |
| Fitting | C4⋊C8×C421 ⋊ C2 |
| Sylow | C421 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13472 |
4240 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26944, 568);