Finite Group DatabasebetaFinite Group Databasebeta| order | 14864 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C929 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7432 |
Polycyclic presentation:
2^4,929|a^2=c,c^2=d,b^a=bd,e^a=e^9283722 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44446290, #44446291, #44446292, … |
| maximal normal subgroup of | #44446290, #44446291, #44446292, … |
| maximal quotient of | #44446285, C22⋊#21418252, C4⋊#21418252, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14864, 24);