Finite Group DatabasebetaFinite Group Databasebeta| order | 18784 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C587 ⋊ #103 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18784 |
Polycyclic presentation:
2^5,587|a^2=d,b^2=e,c^2=e,b^a=bc,c^a=ce,f^a=f^586,c^b=ce2944 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #103×D587, C2×#34037545, #49177075, … |
| maximal normal subgroup of | #103×D587, C2×#34037545, #49177075, … |
| maximal quotient of | Q8⋊(C587⋊C8), #49176817, #49176826, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18784, 70);