Finite Group DatabasebetaFinite Group Databasebeta| order | 1008 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C3×C7×#208 |
| Hall | C32×C7 ⋊ M16 |
| Sylow | C32 ⋊ C7×M16 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
378 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C7×#63818, C3×D7×#208, #72245722, … |
| maximal normal subgroup of | C7×#63818, C3×D7×#208, #72245722, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1008, 432);