Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C173 ⋊ #431 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,c^2=d,e^2=f,b^a=bd,g^c=g^1721760 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36351874, #36351876, #36351882, … |
| maximal normal subgroup of | #36351874, #36351876, #36351882, … |
| maximal quotient of | #36353307, C22⋊C8×Dic173, #36353411, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 599);