Finite Group DatabasebetaFinite Group Databasebeta| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#21418732 |
| Fitting | C2×C8×C467 ⋊ C2 |
| Sylow | C467 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7472 |
3742 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44470124, C4×#21418732, #44470136, … |
| maximal normal subgroup of | #44470124, C4×#21418732, #44470136, … |
| maximal quotient of | C2×#28417875, C2×#28417878, C2×#28417885, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 161);