Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×#89250 |
| Sylow | C7 ⋊ C2×#322 |
248 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13240625, #13240629, #13240660, … |
| maximal normal subgroup of | #13240625, #13240629, #13240660, … |
| maximal quotient of | C4×#89250, C2×C7⋊#1273, #13244219, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 2242);