Finite Group DatabasebetaFinite Group Databasebeta| order | 1456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C13 · Schur multiplier (H2) = C22 |
| direct product | Q8×C13×D7 |
| Fitting | C7×Q8×C13 ⋊ C2 |
| Hall | C7×C13 ⋊ C2×Q8 |
| Sylow | C7 ⋊ C2×Q8×C13 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 728 |
325 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1456, 152);