Finite Group DatabasebetaFinite Group Databasebeta| order | 14864 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C929 ⋊ C2 |
| Sylow | C929 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7432 |
Polycyclic presentation:
2^4,929|a^2=d,b^a=bc,e^b=e^9283722 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊C4×D929, C2×#28415427, #44446331, … |
| maximal normal subgroup of | C22⋊C4×D929, C2×#28415427, #44446331, … |
| maximal quotient of | #44446281, #44446286, #44446288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14864, 17);