Finite Group DatabasebetaFinite Group Databasebeta| order | 1568 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24×C7 |
| direct product | C2×#11716070 |
| Fitting | C22×C4×C72 ⋊ C2 |
| Sylow | C72 ⋊ C2×C22⋊C4 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 784 |
404 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1568, 733);