Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #89261 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×C7⋊#338 |
| unambiguous semidirect product | (C2×C7)⋊#338 |
| Sylow | C7 ⋊ C2×#338 |
372 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
164 conjugacy classes — view the full character table.
| maximal subgroup of | #13240930, #13240932, #13240936, … |
| maximal normal subgroup of | #13240930, #13240932, #13240936, … |
| maximal quotient of | C2×#11725546, C2×#11725466, #13243214, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4517);