Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #362×D43 |
| Fitting | C43×#362 ⋊ C2 |
| Sylow | C43 ⋊ C2×#362 |
216 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 67 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
368 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#362×D43, D43×#2148, #25249565, … |
| maximal normal subgroup of | C2×#362×D43, D43×#2148, #25249565, … |
| maximal quotient of | D43×#1334, #25006374, #25006605, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6252);