Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #121×C227 ⋊ C2 |
| Sylow | C227 ⋊ #449 |
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 43 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|c^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,g^b=g^2261601 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #449×D227, C2×#28409175, #44408949, … |
| maximal normal subgroup of | #449×D227, C2×#28409175, #44408949, … |
| maximal quotient of | #44398661, #44398678, #44398729, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 692);