Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #413×C71 ⋊ C2 |
| Sylow | C71 ⋊ #2120 |
264 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 65 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,71|a^2=e,c^2=g,b^a=bd,d^a=df,f^a=fg,h^a=h^70,e^b=ef,h^b=h^70,e^d=eg796 conjugacy classes — view the full character table.
| maximal subgroup of | #31912605, #31912606, #31912610, … |
| maximal normal subgroup of | #31912605, #31912606, #31912610, … |
| maximal quotient of | #31906536, #31906626, #31906700, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 6152);