Finite Group DatabasebetaFinite Group Databasebeta| order | 17104 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊Dic1069 |
| Sylow | C1069 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8552 |
Polycyclic presentation:
2^4,1069|a^2=d,b^a=bc,e^a=e^10684282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46803503, #46803504, C22⋊C4×D1069, … |
| maximal normal subgroup of | #46803503, #46803504, C22⋊C4×D1069, … |
| maximal quotient of | #46803496, C22⋊#22555599, #46803504, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17104, 18);