Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | SD32×D23 |
| Fitting | C23×SD32 ⋊ C2 |
| Sylow | C23 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 368 |
143 conjugacy classes — view the full character table.
| maximal subgroup of | C2×SD32×D23, D23×#508, D23×#509, … |
| maximal normal subgroup of | C2×SD32×D23, D23×#508, D23×#509, … |
| maximal quotient of | D23×#357, D23×#358, D23×#367, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 971);