Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×#6464 |
| Fitting | C23×C7×C8 ⋊ C2 |
| Sylow | C7 ⋊ C22×#131 |
1504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13259207, #13259211, #13259229, … |
| maximal normal subgroup of | #13259207, #13259211, #13259229, … |
| maximal quotient of | C22×#89461, C22×#89873, C2×C4×#6464, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 18981);