Finite Group DatabasebetaFinite Group Databasebeta| order | 1568 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C7 · Schur multiplier (H2) = C2 |
| direct product | C7×#6397 |
| Fitting | C72×M16 ⋊ C2 |
| Sylow | C72 ⋊ #100 |
122 conjugacy classes of subgroups.
| transitive degree | μt(G) = 112 |
287 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1568, 266);