Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C73 ⋊ #3083 |
376 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=e,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^b=h^72,f^c=fg1040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33143515, #33143518, #33143539, … |
| maximal normal subgroup of | #33143515, #33143518, #33143539, … |
| maximal quotient of | #33085509, #33086986, #33087019, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14359);