Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#89457 |
| Fitting | C2×C4×C7×C8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13243176, #13243180, #13243183, … |
| maximal normal subgroup of | #13243176, #13243180, #13243183, … |
| maximal quotient of | C2×#11727504, C2×C4×(C2×D7)⋊C8, C2×C4×Dic7⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 10664);