Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #1141 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#89327 |
| Sylow | C7 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | Dic7×#339, C4×#89327, #13258971, … |
| maximal normal subgroup of | Dic7×#339, C4×#89327, #13258971, … |
| maximal quotient of | C2×#11725542, #13243237, #13243243, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4093);