Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#14582737 |
| Sylow | C43 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
500 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#14582737, #25017179, #25017185, … |
| maximal normal subgroup of | C4×#14582737, #25017179, #25017185, … |
| maximal quotient of | C2×#19132773, C2×#19132775, C2×#19132796, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6811);