Finite Group DatabasebetaFinite Group Databasebeta| order | 1568 |
| isoclinism | isoclinic class of #87648 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C7 |
| direct product | C4×#87648 |
| Sylow | C72 ⋊ C4×Q8 |
350 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1568 |
404 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1568, 674);