Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| isoclinism | isoclinic class of #67263 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic92 |
| Sylow | C23 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
380 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15671360, #15671362, #15671366, … |
| maximal normal subgroup of | #15671360, #15671362, #15671366, … |
| maximal quotient of | C8×Dic92, #15672249, #15672295, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 645);