Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#14582726 |
| Sylow | C43 ⋊ C2×#367 |
168 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 168 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.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #25011999, C4×#14582726, #25012003, … |
| maximal normal subgroup of | #25011999, C4×#14582726, #25012003, … |
| maximal quotient of | C2×#19132668, #25008241, #25008281, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6289);