Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊(C223⋊C8) |
| Sylow | C223 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14272 |
3592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252627, #43252628, #43252633, … |
| maximal normal subgroup of | #43252627, #43252628, #43252633, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 570);