Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C173 ⋊ #339 |
110 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,b^2=e,c^2=f,b^a=bc,c^a=cf,e^a=ef,g^a=g^172,g^b=g^1721748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #339×D173, C2×#26011252, #36353271, … |
| maximal normal subgroup of | #339×D173, C2×#26011252, #36353271, … |
| maximal quotient of | #36351395, #36351401, #36351402, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 310);