Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| isoclinism | isoclinic class of Dic46 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D92 |
| Fitting | C4×C8×C23 ⋊ C2 |
| Sylow | C23 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
392 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15671351, #15671353, C8×#67272, … |
| maximal normal subgroup of | #15671351, #15671353, C8×#67272, … |
| maximal quotient of | C8×D184, C8×#67263, C8×Dic92, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 616);