Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#20290713 |
| Fitting | C2×AGL(1,ℤ/8)×C53 ⋊ C4 |
| Sylow | C53 ⋊ C2×#1881 |
1682 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
350 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1105200);