Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C2×C22⋊C8×D43 |
| Fitting | C2×C22⋊C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C22×C22⋊C8 |
1072 conjugacy classes of subgroups.
920 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#1280, #24986189, #24986207, … |
| maximal normal subgroup of | D43×#1280, #24986189, #24986207, … |
| maximal quotient of | C2×#323×D43, C2×#324×D43, D43×#1458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12940);