Finite Group DatabasebetaFinite Group Databasebeta| order | 1504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D47 |
| Fitting | Q16×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 752 |
175 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×D47, Q32×D47, #15689562, … |
| maximal normal subgroup of | SD32×D47, Q32×D47, #15689562, … |
| maximal quotient of | #103×D47, #107×D47, #15689215, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1504, 162);