Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | #431×C71 ⋊ C2 |
| Sylow | C71 ⋊ #1458 |
264 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 93 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=f,e^2=g,b^a=bd,d^a=df,e^b=ef,h^b=h^701444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31887979, #31887981, #31887983, … |
| maximal normal subgroup of | #31887979, #31887981, #31887983, … |
| maximal quotient of | #31885389, #31885392, #31885397, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 2822);