Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#103×D43 |
| Fitting | C2×#103×C43 ⋊ C2 |
| Sylow | C43 ⋊ C22×#103 |
816 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#103×D43, D43×#1763, #25094414, … |
| maximal normal subgroup of | C4×#103×D43, D43×#1763, #25094414, … |
| maximal quotient of | C2×Q8⋊C8×D43, D43×#1487, C2×#19133022, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12998);