Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#19151515 |
| Fitting | C22×C4⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#394 |
1252 conjugacy classes of subgroups; only the 261 normal subgroups are shown.
This group has 1252 conjugacy classes of subgroups — too many to draw. Only its 261 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 | #36449440, #36449442, #36449445, … |
| maximal normal subgroup of | #36449440, #36449442, #36449445, … |
| maximal quotient of | C2×#26018492, C2×#26018494, C2×#26018500, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7716);