Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C4×C367 ⋊ C2 |
| Sylow | C367 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,367|a^2=e,c^2=e,b^a=bd,f^b=f^366,f^c=f^3661850 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37554266, #37554268, #37554271, … |
| maximal normal subgroup of | #37554266, #37554268, #37554271, … |
| maximal quotient of | #37554033, C4⋊C4×Dic367, #37554057, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 108);