Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2848 |
| Fitting | C2×C32×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×D32 |
120 conjugacy classes of subgroups.
2854 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36442305, #36442307, #36442317, … |
| maximal normal subgroup of | #36442305, #36442307, #36442317, … |
| maximal quotient of | C2×#26018431, C2×#26018452, C4×D2848, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6808);