Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#99×D43 |
| Fitting | C2×#99×C43 ⋊ C2 |
| Sylow | C43 ⋊ C22×#99 |
1112 conjugacy classes of subgroups.
506 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1390, #25011542, D43×#1393, … |
| maximal normal subgroup of | D43×#1390, #25011542, D43×#1393, … |
| maximal quotient of | C2×#323×D43, C2×#324×D43, D43×#1459, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12961);