Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C73 ⋊ #1476 |
276 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 117 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,c^2=f,d^2=f,e^2=g,b^a=bd,d^a=df,h^a=h^72,d^b=df1496 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32976656, #32976658, #32976661, … |
| maximal normal subgroup of | #32976656, #32976658, #32976661, … |
| maximal quotient of | #32973923, #32973931, #32973936, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 2892);