Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | Q16×C173 ⋊ C4 |
| Sylow | C173 ⋊ #444 |
104 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,c^2=e,d^2=f,e^2=f,b^a=bd,c^a=cf,d^a=df,g^a=g^80,d^b=df,g^b=g^172,g^c=g^80,g^e=g^172323 conjugacy classes — view the full character table.
| maximal subgroup of | #36369970, #36369971, #36369974, … |
| maximal normal subgroup of | #36369970, #36369971, #36369974, … |
| maximal quotient of | #36369153, #36369156, #36369161, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1595);