Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×C22⋊Q8×D89 |
| Fitting | C2×C22⋊Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×C22⋊Q8 |
1840 conjugacy classes of subgroups.
1288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36445871, #1472×D89, #36520517, … |
| maximal normal subgroup of | #36445871, #1472×D89, #36520517, … |
| maximal quotient of | C2×#380×D89, C2×#385×D89, C2×#387×D89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17734);