Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C73 ⋊ #3056 |
496 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=g,b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^72,d^b=dg,h^b=h^721040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33123423, #33123424, #33123445, … |
| maximal normal subgroup of | #33123423, #33123424, #33123445, … |
| maximal quotient of | #33068765, #33068787, #33068809, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14142);