Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| isoclinism | isoclinic class of Dic46 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#67262 |
| Fitting | C22×C8×C23 ⋊ C2 |
| Sylow | C23 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
392 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15673089, #15673092, #15673115, … |
| maximal normal subgroup of | #15673089, #15673092, #15673115, … |
| maximal quotient of | C22×#10624997, C2×C4×#67262, C22×(C2×D23)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1308);