Finite Group DatabasebetaFinite Group Databasebeta| order | 1792 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C2×C4 |
| direct product | C16×#1131 |
| Fitting | C7×C8×C16 ⋊ C2 |
| Sylow | C7 ⋊ C16×M16 |
306 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
544 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1792, 78579);