Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#14582667 |
| Sylow | C43 ⋊ C2×#343 |
432 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #343×Dic43, C4×#14582667, #25001863, … |
| maximal normal subgroup of | #343×Dic43, C4×#14582667, #25001863, … |
| maximal quotient of | C2×#19132437, #24986193, #24986196, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 4245);