Finite Group DatabasebetaFinite Group Databasebeta| order | 13696 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#13133802 |
| Sylow | C107 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3424 |
2170 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13696, 13247);