Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| isoclinism | isoclinic class of #67263 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic92 |
| Sylow | C23 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
380 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15673737, #15673739, #15674256, … |
| maximal normal subgroup of | #15673737, #15673739, #15674256, … |
| maximal quotient of | C22×#10624998, C22×#10625000, C2×C4×Dic92, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1326);