Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#14582941 |
| Sylow | C43 ⋊ C2×#428 |
536 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #25002679, #25002681, #25002700, … |
| maximal normal subgroup of | #25002679, #25002681, #25002700, … |
| maximal quotient of | C2×#19133347, C2×#19133362, #25065626, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13095);