Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#14582974 |
| Fitting | C2×C22⋊C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#436 |
552 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #25005918, #25094928, #25094929, … |
| maximal normal subgroup of | #25005918, #25094928, #25094929, … |
| maximal quotient of | C2×#19133477, C2×#19133482, C2×#19133488, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13194);