Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#1159 |
| Fitting | C7×C8×D4 ⋊ C2 |
| Sylow | C7 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | #13263625, #13263635, #13263665, … |
| maximal normal subgroup of | #13263625, #13263635, #13263665, … |
| maximal quotient of | C8×#6440, C8×#6455, C8×(C22⋊D7)⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 11610);