Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C42×C367 ⋊ C2 |
| Sylow | C367 ⋊ #117 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,367|a^2=e,c^2=d,b^a=bd,f^b=f^3662948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37554140, #37554143, #37554201, … |
| maximal normal subgroup of | #37554140, #37554143, #37554201, … |
| maximal quotient of | #37554032, C4×(C2×D367)⋊C4, C4×Dic367⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 103);