Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#13063271 |
| Sylow | C43 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #25013672, #25013673, #25013675, … |
| maximal normal subgroup of | #25013672, #25013673, #25013675, … |
| maximal quotient of | C22×#14582702, C22×#14582703, C22×#14582724, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 17622);