Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊Q8×C173 ⋊ C2 |
| Sylow | C173 ⋊ #456 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=f,c^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=ef,g^b=g^172,d^c=df1220 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36351716, #36351718, #36355584, … |
| maximal normal subgroup of | #36351716, #36351718, #36355584, … |
| maximal quotient of | #36352524, #36352531, #36352536, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 731);