Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#6451 |
| Sylow | C7 ⋊ C4×C4⋊Q8 |
588 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #13253775, #13253779, #13253793, … |
| maximal normal subgroup of | #13253775, #13253779, #13253793, … |
| maximal quotient of | C4×#89757, C4×#89419, C4×#89745, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 5835);