Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C173 ⋊ #350 |
56 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,c^2=f,d^2=e,e^2=f,b^a=bc,g^a=g^172,c^b=cf,d^b=df1748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #350×D173, C2×#26011275, #36355189, … |
| maximal normal subgroup of | #350×D173, C2×#26011275, #36355189, … |
| maximal quotient of | #36351489, #36351505, D4⋊#14583801, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 333);