Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19154566 |
| Fitting | C2×C8×C367 ⋊ C2 |
| Sylow | C367 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
2942 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37554273, C4×#19154566, #37554285, … |
| maximal normal subgroup of | #37554273, C4×#19154566, #37554285, … |
| maximal quotient of | C2×#26044183, C2×#26044186, C2×#26044193, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 161);