Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26 |
| direct product | C22×#6377 |
| Sylow | C7 ⋊ C22×#97 |
680 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#11725546, #13243217, C2×#11725547, … |
| maximal normal subgroup of | C2×#11725546, #13243217, C2×#11725547, … |
| maximal quotient of | C22×#89249, C2×#11727601, C2×#11727480, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14254);