Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#19151509 |
| Fitting | C23×Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#393 |
1036 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 1036 conjugacy classes of subgroups — too many to draw. Only its 269 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36449414, #36449429, #36454635, … |
| maximal normal subgroup of | #36449414, #36449429, #36454635, … |
| maximal quotient of | C2×#26018494, C2×#26018511, C2×#26018523, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7709);