Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×C8×Dic178 |
| Sylow | C89 ⋊ C2×C8×Q8 |
440 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#15667930, #36445002, C8×#15667937, … |
| maximal normal subgroup of | C8×#15667930, #36445002, C8×#15667937, … |
| maximal quotient of | C2×C8×C4⋊Dic89, C2×C8×#13083553, C4×C8×Dic178, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13431);