Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C2×#89294 |
| Sylow | C7 ⋊ C2×M64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13241484, #13241485, #13241486, … |
| maximal normal subgroup of | #13241484, #13241485, #13241486, … |
| maximal quotient of | C2×#11725314, C4×#89294, C2×C22⋊(C7⋊C32), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 3916);