Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| isoclinism | isoclinic class of #67272 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#67272 |
| Fitting | C22×D4×C23 ⋊ C2 |
| Sylow | C23 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | #15673742, #15673743, #15673745, … |
| maximal normal subgroup of | #15673742, #15673743, #15673745, … |
| maximal quotient of | C22×#10624991, C22×#10625014, C22×#10624989, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1318);