Finite Group DatabasebetaFinite Group Databasebeta| order | 14704 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1838 |
| unambiguous semidirect product | (C2×C919)⋊Q8 |
| Sylow | C919 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14704 |
3682 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44440697, #44440702, #44440704, … |
| maximal normal subgroup of | #44440697, #44440702, #44440704, … |
| maximal quotient of | C2×Dic919⋊C4, C2×C4⋊Dic919, C4×Dic1838, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14704, 38);