Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#14582948 |
| Sylow | C43 ⋊ C2×#430 |
460 conjugacy classes of subgroups.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #25002686, #25002688, #25002693, … |
| maximal normal subgroup of | #25002686, #25002688, #25002693, … |
| maximal quotient of | C2×#19133347, #25065581, C2×#19133362, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13117);