Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #339×D43 |
| Fitting | C43×#339 ⋊ C2 |
| Sylow | C43 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#339×D43, D43×#1733, #25093986, … |
| maximal normal subgroup of | C2×#339×D43, D43×#1733, #25093986, … |
| maximal quotient of | D43×#1276, #24986037, #24986043, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 4214);