Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#14582864 |
| Fitting | C2×C22⋊C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#408 |
792 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #25005660, C4×#14582864, #25094124, … |
| maximal normal subgroup of | #25005660, C4×#14582864, #25094124, … |
| maximal quotient of | C2×#19132940, C2×#19132942, C2×#19132945, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12948);