Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C16×C367 ⋊ C2 |
| Sylow | C367 ⋊ SD32 |
26 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,367|a^2=e,c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^366,c^b=cd,d^b=de,f^b=f^3662939 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD32×D367, C2×#26044206, #37554617, … |
| maximal normal subgroup of | SD32×D367, C2×#26044206, #37554617, … |
| maximal quotient of | #37553988, #37553991, #37554014, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 91);