Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19151428 |
| Sylow | C89 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442130, #36442131, #36442132, … |
| maximal normal subgroup of | #36442130, #36442131, #36442132, … |
| maximal quotient of | C2×#26018324, C2×#26018326, #36466013, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6302);