Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C73 ⋊ C4×#101 |
296 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 94 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=e,b^2=f,c^2=eg,f^2=g,b^a=bd,f^a=fg,d^b=dg,h^b=h^27,h^c=h^72,h^f=h^72404 conjugacy classes — view the full character table.
| maximal subgroup of | #34000371, #34000625, #34003493, … |
| maximal normal subgroup of | #34000371, #34000625, #34003493, … |
| maximal quotient of | #34003420, #34003422, #34003430, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20263);