Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C22×#6386 |
| Sylow | C7 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13268635, #13268636, #13268638, … |
| maximal normal subgroup of | #13268635, #13268636, #13268638, … |
| maximal quotient of | C22×#89256, C2×C4×#6386, C22×C22⋊(C7⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 15934);