| order | 1792 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×C7⋊C16 |
| Sylow | C7 ⋊ C16×M16 |
306 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 78580);