Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C22×C4×C22⋊D7 |
| Fitting | C24×C4×C7 ⋊ C2 |
| Sylow | C7 ⋊ C22×C4×D4 |
2528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13245132, #13259217, #13260282, … |
| maximal normal subgroup of | #13245132, #13259217, #13260282, … |
| maximal quotient of | C22×C4×C22⋊Dic7, C22×C4×(C2×D7)⋊C4, C22×C4×Dic7⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 19052);