Finite Group DatabasebetaFinite Group Databasebeta| order | 13952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#20295977 |
| unambiguous semidirect product | D109⋊#389 |
| Fitting | C2×C4⋊C4×C109 ⋊ C4 |
| Sylow | C109 ⋊ C2×#389 |
800 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3488 |
596 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13952, 20965);