Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D4×C4⋊Dic7 |
| Sylow | C7 ⋊ D4×C4⋊C4 |
776 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
170 conjugacy classes — view the full character table.
| maximal subgroup of | #13247954, #13247958, #13247982, … |
| maximal normal subgroup of | #13247954, #13247958, #13247982, … |
| maximal quotient of | C22⋊C4×C4⋊Dic7, C4⋊C4×C4⋊Dic7, D4×C7⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14542);