Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C23×#1131 |
| Fitting | C23×C7×C8 ⋊ C2 |
| Sylow | C7 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13259022, #13259047, #13259053, … |
| maximal normal subgroup of | #13259022, #13259047, #13259053, … |
| maximal quotient of | C23×#6389, C22×C4×#1131, C23×(C2×D7)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 18980);