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^a=g^80,g^b=g^172,g^e=g^172728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368386, #36368388, #36368448, … |
| maximal normal subgroup of | #36368386, #36368388, #36368448, … |
| maximal quotient of | #36369277, C4×#19149736, C4×#19149746, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1567);