Finite Group DatabasebetaFinite Group Databasebeta| order | 26944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊Dic421 |
| Sylow | C421 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13472 |
6760 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26944, 397);