Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#89322 |
| Sylow | C7 ⋊ C2×#342 |
680 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
164 conjugacy classes — view the full character table.
| maximal subgroup of | Dic7×#342, C4×#89322, #13259056, … |
| maximal normal subgroup of | Dic7×#342, C4×#89322, #13259056, … |
| maximal quotient of | C2×#11725480, #13243389, #13243395, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4061);