Finite Group DatabasebetaFinite Group Databasebeta| order | 1568 |
| isoclinism | isoclinic class of #1132 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C7 · Schur multiplier (H2) = C22 |
| direct product | C2×C7×Dic28 |
| Sylow | C72 ⋊ C2×Q16 |
153 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
434 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1568, 625);