Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#14582661 |
| Sylow | C43 ⋊ C2×#340 |
512 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #340×Dic43, C4×#14582661, #25001779, … |
| maximal normal subgroup of | #340×Dic43, C4×#14582661, #25001779, … |
| maximal quotient of | C2×#19132429, #24986062, #24986072, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 4223);