Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×SD16×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3172 |
364 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,h^b=h^721040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33056574, #33056582, #33056598, … |
| maximal normal subgroup of | #33056574, #33056582, #33056598, … |
| maximal quotient of | #33086534, #33090224, #33090226, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 15112);