Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C173 ⋊ #460 |
128 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^1721223 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36352620, #36352621, #36352625, … |
| maximal normal subgroup of | #36352620, #36352621, #36352625, … |
| maximal quotient of | #36352908, #36352920, #36352930, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 746);