Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #1132 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic28 |
| Sylow | C7 ⋊ C23×Q16 |
1464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | #13260606, #13260608, #13260632, … |
| maximal normal subgroup of | #13260606, #13260608, #13260632, … |
| maximal quotient of | C23×#6390, C23×#6392, C22×C4×Dic28, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 18985);