Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#102×D43 |
| Fitting | C2×#102×C43 ⋊ C2 |
| Sylow | C43 ⋊ C22×#102 |
1072 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#102×D43, D43×#1762, #25094405, … |
| maximal normal subgroup of | C4×#102×D43, D43×#1762, #25094405, … |
| maximal quotient of | C2×D4⋊C8×D43, D43×#1486, C2×#19133018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 12994);