Finite Group DatabasebetaFinite Group Databasebeta| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | Dic467⋊C8 |
| Sylow | C467 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14944 |
Polycyclic presentation:
2^5,467|a^2=d,b^2=c,d^2=e,b^a=bc,f^b=f^4663748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4⋊C8×D467, C2×Dic467⋊C8, #44470059, … |
| maximal normal subgroup of | C4⋊C8×D467, C2×Dic467⋊C8, #44470059, … |
| maximal quotient of | #44469787, #44469789, #44469791, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 75);