Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#14583713 |
| Fitting | C2×#135×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#578 |
1408 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #25012288, #25012296, #25012325, … |
| maximal normal subgroup of | #25012288, #25012296, #25012325, … |
| maximal quotient of | C2×#19143124, C2×#19143192, C2×#19143431, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 19274);