Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14555772 |
| Fitting | C22×Q8×C139 ⋊ C2 |
| Sylow | C139 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31806735, #31806741, #31806757, … |
| maximal normal subgroup of | #31806735, #31806741, #31806757, … |
| maximal quotient of | C22×#17984762, C22×#17984766, C22×#17984773, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 1321);