Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D7×#103 |
| Fitting | C2×C7×#103 ⋊ C2 |
| Sylow | C7 ⋊ C22×#103 |
816 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | C4×D7×#103, D7×#1763, #13351613, … |
| maximal normal subgroup of | C4×D7×#103, D7×#1763, #13351613, … |
| maximal quotient of | C2×D7×Q8⋊C8, D7×#1487, C2×#11725990, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 10997);