Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #1132 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#89346 |
| Sylow | C7 ⋊ C2×#340 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | #13240939, #13240941, #13240957, … |
| maximal normal subgroup of | #13240939, #13240941, #13240957, … |
| maximal quotient of | C2×#11725460, #13243262, #13243272, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4488);