Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19152027 |
| Fitting | C2×D16×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#508 |
368 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1012 conjugacy classes — view the full character table.
| maximal subgroup of | #36474859, #36474864, #36474901, … |
| maximal normal subgroup of | #36474859, #36474864, #36474901, … |
| maximal quotient of | C2×#26021956, C2×#26022033, C2×D16×Dic89, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17625);