Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#135×D43 |
| Fitting | C2×#135×C43 ⋊ C2 |
| Sylow | C43 ⋊ C22×#135 |
1504 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | #25012250, #25012254, D43×#1876, … |
| maximal normal subgroup of | #25012250, #25012254, D43×#1876, … |
| maximal quotient of | C2×#416×D43, C2×#427×D43, C2×C4×D8×D43, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 19234);