Finite Group DatabasebetaFinite Group Databasebeta| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C467 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7472 |
Polycyclic presentation:
2^5,467|a^2=e,c^2=d,b^a=bd,f^c=f^4662350 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44470009, #117×D467, C2×#28417909, … |
| maximal normal subgroup of | #44470009, #117×D467, C2×#28417909, … |
| maximal quotient of | #44469882, C22⋊C4×Dic467, #44469888, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 102);