Finite Group DatabasebetaFinite Group Databasebeta| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C467 ⋊ M32 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7472 |
Polycyclic presentation:
2^5,467|a^2=c,c^2=d,d^2=e,b^a=be,f^a=f^4663748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44469814, #44469815, #44469818, … |
| maximal normal subgroup of | #44469814, #44469815, #44469818, … |
| maximal quotient of | #44469813, C22⋊(C467⋊C16), C4⋊(C467⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 86);