Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#89759 |
| Fitting | C22×C7×C4⋊C4 ⋊ C2 |
| Sylow | C7 ⋊ C2×#380 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #13259044, #13259047, #13259072, … |
| maximal normal subgroup of | #13259044, #13259047, #13259072, … |
| maximal quotient of | C2×(C2×D7)⋊#95, C2×#11727156, C2×#11729317, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14395);