Finite Group DatabasebetaFinite Group Databasebeta| order | 1456 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C7 · Schur multiplier (H2) = C23 |
| direct product | C2×C7×D52 |
| Fitting | C2×C4×C7×C13 ⋊ C2 |
| Hall | C7×C13 ⋊ C2×D4 |
| Sylow | C13 ⋊ C2×C7×D4 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 728 |
406 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1456, 138);