Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#14583021 |
| Sylow | C43 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #25011891, #25011893, #25011898, … |
| maximal normal subgroup of | #25011891, #25011893, #25011898, … |
| maximal quotient of | C2×SD16⋊(C43⋊C8), C2×#19133414, C2×#19133419, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13406);