Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic734 |
| Sylow | C367 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37553916, #37553918, C4×#19154565, … |
| maximal normal subgroup of | #37553916, #37553918, C4×#19154565, … |
| maximal quotient of | C4×C4⋊Dic367, C4×Dic367⋊C4, #37554069, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 112);