Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#17984767 |
| Sylow | C139 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
2236 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31806223, C4×#17984767, #31806233, … |
| maximal normal subgroup of | #31806223, C4×#17984767, #31806233, … |
| maximal quotient of | C2×#22580685, #31804808, #31804834, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 541);