Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#89461 |
| Fitting | C2×C4×C7×C8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13244325, #13244329, #13246654, … |
| maximal normal subgroup of | #13244325, #13244329, #13246654, … |
| maximal quotient of | C2×C8×#1131, C2×#11725801, C2×#11725824, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 10662);