Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#14582949 |
| Sylow | C43 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
920 conjugacy classes — view the full character table.
| maximal subgroup of | #24986186, #24986192, #24986211, … |
| maximal normal subgroup of | #24986186, #24986192, #24986211, … |
| maximal quotient of | C2×#19134339, C2×C22⋊C8×Dic43, C2×#19134443, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13123);