Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | AGL(1,ℤ/8)×C139 ⋊ C2 |
| Sylow | C139 ⋊ #575 |
262 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^6,139|d^2=f,e^2=f,b^a=be,c^a=cf,e^a=ef,e^b=ef,g^d=g^138781 conjugacy classes — view the full character table.
| maximal subgroup of | #31815749, #31815751, #31815758, … |
| maximal normal subgroup of | #31815749, #31815751, #31815758, … |
| maximal quotient of | #31814918, #31814920, #31814991, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 1345);