Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C17×#102 ⋊ C2 |
| Sylow | C17 ⋊ #416 |
158 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 55 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^6,17|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,d^b=df,g^c=g^16140 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#416, C2×#11762802, #14537298, … |
| maximal normal subgroup of | D17×#416, C2×#11762802, #14537298, … |
| maximal quotient of | #14527163, #14527189, #14527215, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 542);