Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#19154562 |
| Fitting | C2×D4×C367 ⋊ C2 |
| Sylow | C367 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
1844 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37554266, C4×#19154562, #37554295, … |
| maximal normal subgroup of | #37554266, C4×#19154562, #37554295, … |
| maximal quotient of | C2×#26044181, C2×#26044182, C2×#26044194, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 156);