Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #89261 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#89326 |
| Sylow | C7 ⋊ C2×H(3,ℤ/4) |
404 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
164 conjugacy classes — view the full character table.
| maximal subgroup of | Dic7×H(3,ℤ/4), C4×#89326, #13258964, … |
| maximal normal subgroup of | Dic7×H(3,ℤ/4), C4×#89326, #13258964, … |
| maximal quotient of | C2×#11725543, C2×#11725420, #13243194, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4097);