Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14555774 |
| Fitting | C22×C8×C139 ⋊ C2 |
| Sylow | C139 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
2236 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31806737, #31806739, #31806758, … |
| maximal normal subgroup of | #31806737, #31806739, #31806758, … |
| maximal quotient of | C22×#17984764, C22×#17984767, C22×#17984774, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 1323);