Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C43 |
| direct product | H(3,ℤ/4)×#6157 |
| Fitting | C53×H(3,ℤ/4) ⋊ C4 |
| Sylow | C53 ⋊ C4×H(3,ℤ/4) |
954 conjugacy classes of subgroups.
| transitive degree | μt(G) = 848 |
374 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1091838);