Finite Group DatabasebetaFinite Group Databasebeta| order | 8864 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#17984573 |
| Sylow | C277 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
572 conjugacy classes — view the full character table.
| maximal subgroup of | #31800872, #31800878, #31800885, … |
| maximal normal subgroup of | #31800872, #31800878, #31800885, … |
| maximal quotient of | C2×#22579935, C4×#17984573, C2×#22579937, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8864, 232);