Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q32×D23 |
| Fitting | C23×Q32 ⋊ C2 |
| Sylow | C23 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
143 conjugacy classes — view the full character table.
| maximal subgroup of | D23×SD64, D23×Q64, #15675713, … |
| maximal normal subgroup of | D23×SD64, D23×Q64, #15675713, … |
| maximal quotient of | D23×#358, D23×#366, #15675253, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 975);