Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | Q16×C17 ⋊ C4 |
| Sylow | C17 ⋊ #441 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^6,17|a^2=e,b^2=f,c^2=e,d^2=f,b^a=bd,c^a=cf,d^a=df,g^a=g^4,d^b=df,g^c=g^13,g^e=g^1650 conjugacy classes — view the full character table.
| maximal subgroup of | #14545189, #14545190, #14545191, … |
| maximal normal subgroup of | #14545189, #14545190, #14545191, … |
| maximal quotient of | #14544377, #14544378, #14544379, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1589);