Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#19152016 |
| Fitting | C2×M32×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#504 |
368 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 213 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36469523, #36469528, #36469530, … |
| maximal normal subgroup of | #36469523, #36469528, #36469530, … |
| maximal quotient of | C2×#26021850, C2×#26021851, C4×#19152016, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17610);