Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| isoclinism | isoclinic class of Dic46 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic46 |
| Sylow | C23 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
392 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15671375, #15671377, C8×#67273, … |
| maximal normal subgroup of | #15671375, #15671377, C8×#67273, … |
| maximal quotient of | C8×C4⋊Dic23, C8×Dic23⋊C4, #15673953, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 674);