Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#13063253 |
| Fitting | C22×C42×C43 ⋊ C2 |
| Sylow | C43 ⋊ C22×#104 |
856 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 856 conjugacy classes of subgroups — too many to draw. Only its 269 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #25002104, #25002110, #25002111, … |
| maximal normal subgroup of | #25002104, #25002110, #25002111, … |
| maximal quotient of | C22×#14582628, C22×#14582631, C2×#19132978, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13048);