| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1868 |
| Sylow | C467 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14944 |
3742 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44469840, #44469842, #44469852, … |
| maximal normal subgroup of | #44469840, #44469842, #44469852, … |
| maximal quotient of | C2×#28417878, C2×#28417887, C4×Dic1868, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 164);