Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| isoclinism | isoclinic class of #6157 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C16 · Schur multiplier (H2) = C43 |
| direct product | C4×C16×#6157 |
| Fitting | C4×C16×C53 ⋊ C4 |
| derived, Sylow | C53 ⋊ C42×C16 |
558 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
1088 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1095658);