Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C17 ⋊ #382 |
154 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^6,17|a^2=f,b^2=e,c^2=d,b^a=bd,c^a=ce,g^b=g^16,g^c=g^16188 conjugacy classes — view the full character table.
| maximal subgroup of | #14526727, #14528792, #14528793, … |
| maximal normal subgroup of | #14526727, #14528792, #14528793, … |
| maximal quotient of | #14527010, #14527013, #14527040, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 414);