Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#14582701 |
| Fitting | C22×C16×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#357 |
272 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 101 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #25011800, C4×#14582701, #25011810, … |
| maximal normal subgroup of | #25011800, C4×#14582701, #25011810, … |
| maximal quotient of | C2×#19132557, #25006573, #25006625, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6209);