Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#14582861 |
| Fitting | C2×C22⋊C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#407 |
1008 conjugacy classes of subgroups.
896 conjugacy classes — view the full character table.
| maximal subgroup of | #24986195, #24986201, #24986207, … |
| maximal normal subgroup of | #24986195, #24986201, #24986207, … |
| maximal quotient of | C2×#19132920, C2×#19132923, C2×#19132926, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12944);