Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#90507 |
| Fitting | C23×C7×Q8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#536 |
1512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
164 conjugacy classes — view the full character table.
| maximal subgroup of | #13260326, #13260374, #13260389, … |
| maximal normal subgroup of | #13260326, #13260374, #13260389, … |
| maximal quotient of | C2×#11741507, C2×#11739631, C2×#11739602, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 19083);