Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#1136 |
| Sylow | C7 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
170 conjugacy classes — view the full character table.
| maximal subgroup of | #13248122, #13248126, #13248136, … |
| maximal normal subgroup of | #13248122, #13248126, #13248136, … |
| maximal quotient of | D8×#1136, #13325227, SD16×#1136, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14511);