Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#13083573 |
| Fitting | C8×D4×C89 ⋊ C2 |
| Sylow | C89 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36464257, #36464267, #36464297, … |
| maximal normal subgroup of | #36464257, #36464267, #36464297, … |
| maximal quotient of | C8×#15667968, C8×#15667970, C8×#15667972, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 13465);