Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C73 ⋊ #1736 |
448 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=e,b^2=f,d^2=g,f^2=g,b^a=bd,d^a=dg,f^a=fg,h^a=h^72,c^b=cg,h^b=h^721484 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32991313, #32991314, #32991347, … |
| maximal normal subgroup of | #32991313, #32991314, #32991347, … |
| maximal quotient of | #32975447, #32975457, #32975469, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 4231);