Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#89609 |
| Fitting | C2×C7×C4⋊C8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#423 |
576 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #13243260, #13243266, #13243270, … |
| maximal normal subgroup of | #13243260, #13243266, #13243270, … |
| maximal quotient of | C2×#11726283, C2×#11726323, C2×#11726284, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 11221);