Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×C4⋊Dic223 |
| Sylow | C223 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14272 |
3592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252632, #43252633, #43252648, … |
| maximal normal subgroup of | #43252632, #43252633, #43252648, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 401);