Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#90275 |
| Fitting | C2×C4×C7×Q8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#556 |
1112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
170 conjugacy classes — view the full character table.
| maximal subgroup of | #13245422, #13245425, #13245528, … |
| maximal normal subgroup of | #13245422, #13245425, #13245528, … |
| maximal quotient of | C2×#11731079, C2×#11731083, C2×#11739907, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 17629);