Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D4×#13083551 |
| Fitting | C2×C4×D4×C89 ⋊ C2 |
| Sylow | C89 ⋊ D4×C22⋊C4 |
1252 conjugacy classes of subgroups.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36570133, #36570134, #36570141, … |
| maximal normal subgroup of | #36570133, #36570134, #36570141, … |
| maximal quotient of | C22⋊C4×#13083551, C4⋊C4×#13083551, D4×#15667919, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 7327);