Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#14582729 |
| Sylow | C43 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #24984299, #24984300, #24984301, … |
| maximal normal subgroup of | #24984299, #24984300, #24984301, … |
| maximal quotient of | C2×#19132667, C2×#19132669, #25008182, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6302);