Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#14583704 |
| Fitting | C2×#131×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#576 |
1512 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 1512 conjugacy classes of subgroups — too many to draw. Only its 549 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
884 conjugacy classes — view the full character table.
| maximal subgroup of | #25012282, #25012285, #25012292, … |
| maximal normal subgroup of | #25012282, #25012285, #25012292, … |
| maximal quotient of | C2×#19143122, C2×#19143195, C2×#19143429, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 19263);