Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#14582895 |
| Sylow | C43 ⋊ C2×#416 |
792 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #25002098, #25002100, #25002119, … |
| maximal normal subgroup of | #25002098, #25002100, #25002119, … |
| maximal quotient of | C2×#19132977, C2×#19133029, #25063009, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13006);