Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#13063348 |
| Fitting | C4×Q16×C43 ⋊ C2 |
| Sylow | C43 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | #25006336, #25006341, #25006362, … |
| maximal normal subgroup of | #25006336, #25006341, #25006362, … |
| maximal quotient of | C8×#13063348, #25066127, #25066346, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13282);