Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#14582641 |
| Sylow | C43 ⋊ C2×#330 |
232 conjugacy classes of subgroups.
626 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#14582641, #330×Dic43, #24987523, … |
| maximal normal subgroup of | C4×#14582641, #330×Dic43, #24987523, … |
| maximal quotient of | C2×#19132418, #24984569, #24984823, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 3094);