Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#16813154 |
| Sylow | C223 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7136 |
3592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252629, #43252630, #43252642, … |
| maximal normal subgroup of | #43252629, #43252630, #43252642, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 502);