Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D3568 |
| Fitting | C2×C16×C223 ⋊ C2 |
| Sylow | C223 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7136 |
3574 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252970, #43252982, #43252984 |
| maximal normal subgroup of | #43252970, #43252982, #43252984 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 970);