Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×C8×D28 |
| Fitting | C2×C4×C7×C8 ⋊ C2 |
| Sylow | C7 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#6397, #13244365, C8×#6395, … |
| maximal normal subgroup of | C8×#6397, #13244365, C8×#6395, … |
| maximal quotient of | C2×C8×D56, C2×C8×#1132, C2×C8×Dic28, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 10667);