Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D367 |
| Fitting | C2×Q8×C367 ⋊ C2 |
| Sylow | C367 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
1850 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #101×D367, #103×D367, #37554193, … |
| maximal normal subgroup of | #101×D367, #103×D367, #37554193, … |
| maximal quotient of | C2×C4⋊C4×D367, C4×Q8×D367, C2×#26044226, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 185);