Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| isoclinism | isoclinic class of #67263 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D184 |
| Fitting | C4×C8×C23 ⋊ C2 |
| Sylow | C23 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
380 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15671357, #15671359, #15671363, … |
| maximal normal subgroup of | #15671357, #15671359, #15671363, … |
| maximal quotient of | C8×D184, #15672228, #15672283, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 633);