Finite Group DatabasebetaFinite Group Databasebeta| order | 1008 |
| isoclinism | isoclinic class of #66632 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C1 |
| direct product | C3×#66633 |
| Hall | C32×C7 ⋊ SD16 |
| Sylow | C32 ⋊ #1142 |
| Sylow | C7 ⋊ C3×#214 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
171 conjugacy classes — view the full character table.
| maximal subgroup of | #72245801, C3×D7×#214, #72245808, … |
| maximal normal subgroup of | #72245801, C3×D7×#214, #72245808, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1008, 454);