Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C8×C173 ⋊ C2 |
| Sylow | C173 ⋊ #459 |
140 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^172,e^c=ef,g^c=g^1721739 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36352618, #36352619, #36352629, … |
| maximal normal subgroup of | #36352618, #36352619, #36352629, … |
| maximal quotient of | #36352905, #36352919, #36352929, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 745);