Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19154564 |
| Fitting | C2×Q8×C367 ⋊ C2 |
| Sylow | C367 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1844 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37554271, C4×#19154564, #37554284, … |
| maximal normal subgroup of | #37554271, C4×#19154564, #37554284, … |
| maximal quotient of | C2×#26044181, C2×#26044185, C2×#26044192, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 159);