Finite Group DatabasebetaFinite Group Databasebeta| order | 17104 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C4⋊Dic1069 |
| Sylow | C1069 ⋊ C4⋊C4 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17104 |
Polycyclic presentation:
2^4,1069|a^2=d,b^2=c,b^a=bc,e^a=e^10684282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46803510, #46803511, #46803513, … |
| maximal normal subgroup of | #46803510, #46803511, #46803513, … |
| maximal quotient of | #46803496, C4⋊#22555599, #46803521, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17104, 20);