Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #1141 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#89324 |
| Sylow | C7 ⋊ C2×#340 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | Dic7×#340, C4×#89324, #13258978, … |
| maximal normal subgroup of | Dic7×#340, C4×#89324, #13258978, … |
| maximal quotient of | C2×#11725509, #13243261, #13243271, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4077);