Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | M16×C22⋊#6157 |
| Fitting | C22×M16×C53 ⋊ C4 |
| Sylow | C53 ⋊ C22⋊C4×M16 |
1774 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1696 |
620 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1103593);