Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×C4⋊Dic241 |
| Sylow | C241 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15424 |
3880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44505284, #44505285, #44505300, … |
| maximal normal subgroup of | #44505284, #44505285, #44505300, … |
| maximal quotient of | C4×#21440549, #44505672, #44505675, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 401);