Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#13063260 |
| Sylow | C43 ⋊ C4×#108 |
228 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 121 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #24987888, C8×#13063260, #24987893, … |
| maximal normal subgroup of | #24987888, C8×#13063260, #24987893, … |
| maximal quotient of | C4×#14582649, C4×#14582651, #24987787, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 4413);