Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×D4×#10623494 |
| Sylow | C89 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #99×#10623494, #36444972, #36444976, … |
| maximal normal subgroup of | #99×#10623494, #36444972, #36444976, … |
| maximal quotient of | C2×D8×#10623494, C2×SD16×#10623494, C2×Q16×#10623494, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13183);