Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#100×D43 |
| Fitting | C2×#100×C43 ⋊ C2 |
| Sylow | C43 ⋊ C22×#100 |
992 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 992 conjugacy classes of subgroups — too many to draw. Only its 221 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
506 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1390, #25011542, #25014073, … |
| maximal normal subgroup of | D43×#1390, #25011542, #25014073, … |
| maximal quotient of | C2×#323×D43, D43×#1460, C2×#19132914, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12975);