Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4⋊C8×C173 ⋊ C2 |
| 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^b=g^172,g^c=g^1721760 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36351942, #36351944, #36351952, … |
| maximal normal subgroup of | #36351942, #36351944, #36351952, … |
| maximal quotient of | #36353307, #36353320, C4⋊C8×Dic173, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 601);