Finite Group DatabasebetaFinite Group Databasebeta| order | 1504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10625335 |
| Sylow | C47 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 752 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#10625335, #15689214, #15689220, … |
| maximal normal subgroup of | C4×#10625335, #15689214, #15689220, … |
| maximal quotient of | C2×#13093945, C2×#13093947, C2×#13093955, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1504, 160);