Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#14582902 |
| Fitting | C2×#102×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#418 |
1008 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 1008 conjugacy classes of subgroups — too many to draw. Only its 229 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
632 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#14582902, #25094373, #25094405, … |
| maximal normal subgroup of | C4×#14582902, #25094373, #25094405, … |
| maximal quotient of | C2×#19132984, C2×#19133036, #25063034, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13009);