Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #1141 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#6513 |
| Fitting | C4×C7×#41 ⋊ C2 |
| Sylow | C7 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #13323170, C8×#6513, #13323198, … |
| maximal normal subgroup of | #13323170, C8×#6513, #13323198, … |
| maximal quotient of | C8×#6513, #13323323, #13323327, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14716);