Finite Group DatabasebetaFinite Group Databasebeta| order | 9088 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C71 ⋊ #1381 |
128 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,71|a^2=d,b^2=e,c^2=fg,d^2=g,e^2=f,f^2=g,b^a=bc,c^a=cf,e^a=efg,f^a=fg,h^a=h^702284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31885013, #31885014, #31885016, … |
| maximal normal subgroup of | #31885013, #31885014, #31885016, … |
| maximal quotient of | #31884322, #31884370, #31884495, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9088, 2604);