Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C367 ⋊ C22⋊Q8 |
74 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,367|a^2=d,b^2=d,b^a=bd,c^a=ce,f^a=f^3662942 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37553922, #37553924, #37554337, … |
| maximal normal subgroup of | #37553922, #37553924, #37554337, … |
| maximal quotient of | #37554046, #37554059, #37554070, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 125);