Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C17 ⋊ #346 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^6,17|a^2=c,b^2=d,c^2=e,e^2=f,b^a=bf,g^a=g^13,g^b=g^16,g^c=g^16104 conjugacy classes — view the full character table.
| maximal subgroup of | #14543700, #14543701, #14543703, … |
| maximal normal subgroup of | #14543700, #14543701, #14543703, … |
| maximal quotient of | #14543696, #14543697, #14543823, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1438);