Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C73 ⋊ #1379 |
136 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|a^2=d,b^2=e,c^2=g,d^2=f,f^2=g,b^a=bc,h^a=h^10,c^b=cg,d^b=dg,h^b=h^46,h^d=h^27,h^e=h^72,h^f=h^72146 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#22627012, #34034070, #64408⋊#350, … |
| maximal normal subgroup of | C2×#22627012, #34034070, #64408⋊#350, … |
| maximal quotient of | #34032867, #34032874, #34032879, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21591);