Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | M16×C367 ⋊ C2 |
| Sylow | C367 ⋊ #137 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,367|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,f^a=f^366,d^b=de,f^b=f^3661841 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37554365, #37554366, #37554370, … |
| maximal normal subgroup of | #37554365, #37554366, #37554370, … |
| maximal quotient of | #37554188, #37554196, #37554228, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 179);