Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#14583710 |
| Fitting | C2×H(5,𝔽2)×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
758 conjugacy classes — view the full character table.
| maximal subgroup of | #25112507, #25112513, #25112534, … |
| maximal normal subgroup of | #25112507, #25112513, #25112534, … |
| maximal quotient of | C2×#19143121, C2×#19143125, C2×#19143188, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 19270);