Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C16×C17 ⋊ C4 |
| Sylow | C17 ⋊ #347 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=c,b^2=d,c^2=e,e^2=f,b^a=be,d^a=df,c^b=cf,g^b=g^4,g^d=g^1686 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11763700, #14544999, #14545003, … |
| maximal normal subgroup of | C2×#11763700, #14544999, #14545003, … |
| maximal quotient of | #14543701, #14543703, #14543824, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1440);