Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C4⋊C16×C73 ⋊ C2 |
| Sylow | C73 ⋊ #1330 |
100 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,c^2=eg,d^2=f,f^2=g,b^a=bc,c^a=ce,c^b=ceg,d^b=dg,h^b=h^721478 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1330×D73, C2×#22607888, #32995701, … |
| maximal normal subgroup of | #1330×D73, C2×#22607888, #32995701, … |
| maximal quotient of | #32972644, #32972647, #32972650, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 2467);