Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×D4×C139 ⋊ C2 |
| Sylow | C139 ⋊ #447 |
198 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 51 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,b^a=bd,c^a=ce,d^a=df,g^a=g^138,d^b=df1399 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31805320, #31805321, #31805331, … |
| maximal normal subgroup of | #31805320, #31805321, #31805331, … |
| maximal quotient of | #31805322, #31805339, #31805390, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 683);