Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C2×C4×D8×D53 |
| Fitting | C2×C4×D8×C53 ⋊ C2 |
| Sylow | C53 ⋊ C22×C4×D8 |
3694 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
1568 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1033566);