Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C8 · Schur multiplier (H2) = C29 |
| direct product | C2×#20283736 |
| Fitting | C2×C8×D4×C53 ⋊ C2 |
| Sylow | C53 ⋊ C2×#2972 |
2890 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
2216 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1034287);