Finite Group DatabasebetaFinite Group Databasebeta| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C467 ⋊ C2 |
| Sylow | C467 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7472 |
Polycyclic presentation:
2^5,467|a^2=d,c^2=e,b^a=bc,c^a=ce,f^a=f^466,c^b=ce,f^b=f^4663742 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #102×D467, C2×#28417875, #44470032, … |
| maximal normal subgroup of | #102×D467, C2×#28417875, #44470032, … |
| maximal quotient of | #44469766, #44469772, #44469780, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 68);