Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C22×Q16×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3270 |
472 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|b^2=g,d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^72,d^b=de,e^b=eg,e^d=eg1037 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #3270×D73, C2×#22621501, #33961062, … |
| maximal normal subgroup of | #3270×D73, C2×#22621501, #33961062, … |
| maximal quotient of | #33075421, #33075541, #33075721, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 16080);