Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#90334 |
| Fitting | C2×C7×C22⋊Q8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#542 |
1132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
128 conjugacy classes — view the full character table.
| maximal subgroup of | #13246300, #13358933, #13358945, … |
| maximal normal subgroup of | #13246300, #13358933, #13358945, … |
| maximal quotient of | C2×#11731313, C2×#11733414, C2×#11733928, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 17796);