Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#14583699 |
| Fitting | C22×M16×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #25003367, #25003371, #25003374, … |
| maximal normal subgroup of | #25003367, #25003371, #25003374, … |
| maximal quotient of | C2×#19143115, C2×#19143185, C2×#19143397, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 19257);