Finite Group DatabasebetaFinite Group Databasebeta| order | 1568 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C8 · Schur multiplier (H2) = C1 |
| direct product | C7×#6386 |
| Sylow | C72 ⋊ M32 |
85 conjugacy classes of subgroups.
| transitive degree | μt(G) = 112 |
476 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72228615 |
| maximal normal subgroup of | #72228615 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1568, 255);