Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#90421 |
| Fitting | C2×C7×C4⋊Q8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#554 |
1200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
134 conjugacy classes — view the full character table.
| maximal subgroup of | #13245556, #13245571, #13245905, … |
| maximal normal subgroup of | #13245556, #13245571, #13245905, … |
| maximal quotient of | C2×#11733646, C2×#11731805, C2×#11733648, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 18047);