Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#6438 |
| Fitting | C43×C7 ⋊ C2 |
| Sylow | C7 ⋊ C4×#124 |
652 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | #13241763, #13241836, #13241839, … |
| maximal normal subgroup of | #13241763, #13241836, #13241839, … |
| maximal quotient of | C4×#89712, C4×#89711, C4×#89701, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 5513);