Finite Group DatabasebetaFinite Group Databasebeta| order | 13696 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#20292678 |
| Fitting | C2×C4×C8×C107 ⋊ C2 |
| Sylow | C107 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6848 |
3472 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13696, 13124);