Finite Group DatabasebetaFinite Group Databasebeta| order | 17104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | Q8×C1069 ⋊ C2 |
| Sylow | C1069 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8552 |
Polycyclic presentation:
2^4,1069|a^2=d,c^2=d,b^a=bc,c^a=cd,c^b=cd,e^b=e^10682677 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D1069, C2×#30686019, #46803609, … |
| maximal normal subgroup of | SD16×D1069, C2×#30686019, #46803609, … |
| maximal quotient of | #46803509, #46803513, #46803520, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17104, 27);