Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic367 |
| Sylow | C367 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37553948, #37553949, #37553954, … |
| maximal normal subgroup of | #37553948, #37553949, #37553954, … |
| maximal quotient of | C2×C367⋊#95, C4×C4⋊Dic367, #37554046, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 101);