Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×D4×C17 ⋊ C4 |
| Sylow | C17 ⋊ #353 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 136 |
Polycyclic presentation:
2^6,17|a^2=d,c^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^13,c^b=cf,d^b=def,d^c=df,g^d=g^1653 conjugacy classes — view the full character table.
| maximal subgroup of | #14543903, #14543904, C2×#11763713, … |
| maximal normal subgroup of | #14543903, #14543904, C2×#11763713, … |
| maximal quotient of | #14543712, #14543727, #14543762, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1453);