Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C23×C4⋊Dic7 |
| Sylow | C7 ⋊ C23×C4⋊C4 |
2488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13241724, #13259063, #13259073, … |
| maximal normal subgroup of | #13241724, #13259063, #13259073, … |
| maximal quotient of | C23×C7⋊#95, C22×C4×C4⋊Dic7, C22×#89984, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 19049);