Finite Group DatabasebetaFinite Group Databasebeta| order | 1008 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C9 · Schur multiplier (H2) = C23 |
| direct product | C2×C9×D28 |
| Fitting | C2×C4×C7×C9 ⋊ C2 |
| Hall | C7×C9 ⋊ C2×D4 |
| Sylow | C7 ⋊ C2×D4×C9 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 504 |
306 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1008, 185);