Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#13063356 |
| Fitting | C2×C4×Q8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #24991211, #24991217, #24991225, … |
| maximal normal subgroup of | #24991211, #24991217, #24991225, … |
| maximal quotient of | C8×#13063356, #25066191, #25066211, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13329);