Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C4×#6442 |
| Sylow | C7 ⋊ C4×#126 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#6442, #13362012, #13362014, … |
| maximal normal subgroup of | C8×#6442, #13362012, #13362014, … |
| maximal quotient of | C4×#89716, C4×#89723, C4×#89717, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 5655);