Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C367 ⋊ #117 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,367|a^2=e,c^2=d,b^a=bd,f^c=f^3661850 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37554158, #117×D367, C2×#26044217, … |
| maximal normal subgroup of | #37554158, #117×D367, C2×#26044217, … |
| maximal quotient of | #37554031, C22⋊C4×Dic367, #37554037, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 102);