Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×(C22⋊D43)⋊C8 |
| Fitting | C2×C22⋊C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
920 conjugacy classes — view the full character table.
| maximal subgroup of | #24987137, #24987142, #24989490, … |
| maximal normal subgroup of | #24987137, #24987142, #24989490, … |
| maximal quotient of | C2×#19133387, C2×#19133392, C2×#19133398, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13180);