Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22×C4×C367 ⋊ C2 |
| Sylow | C367 ⋊ #123 |
78 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,367|c^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 | #37554375, #123×D367, C2×#26044244, … |
| maximal normal subgroup of | #37554375, #123×D367, C2×#26044244, … |
| maximal quotient of | #37554049, #37554059, #37554065, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 129);