Finite Group DatabasebetaFinite Group Databasebeta| order | 14032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1754 |
| unambiguous semidirect product | (C2×C877)⋊Q8 |
| Sylow | C877 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14032 |
3514 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43242715, #43242720, #43242722, … |
| maximal normal subgroup of | #43242715, #43242720, #43242722, … |
| maximal quotient of | C2×#28380492, C2×C4⋊Dic877, C4×Dic1754, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14032, 38);