Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #1132 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#6393 |
| Sylow | C7 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | #13240713, #13240714, #13240716, … |
| maximal normal subgroup of | #13240713, #13240714, #13240716, … |
| maximal quotient of | C4×#89252, C4×#89253, #13244985, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 2310);