Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#14582881 |
| Fitting | C22×M16×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #25001933, #25001936, #25001943, … |
| maximal normal subgroup of | #25001933, #25001936, #25001943, … |
| maximal quotient of | C2×#19132907, C2×#19132911, #25062408, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12983);