Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C28 |
| direct product | C2×#19151507 |
| Fitting | C22×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#392 |
1812 conjugacy classes of subgroups; only the 277 normal subgroups are shown.
This group has 1812 conjugacy classes of subgroups — too many to draw. Only its 277 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 | #36449435, #36449437, #36449450, … |
| maximal normal subgroup of | #36449435, #36449437, #36449450, … |
| maximal quotient of | C2×#26018491, C2×#26018492, C2×#26018496, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7706);