Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#19151353 |
| Sylow | C89 ⋊ C2×#336 |
528 conjugacy classes of subgroups.
2896 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36440957, #36440965, #36440979, … |
| maximal normal subgroup of | #36440957, #36440965, #36440979, … |
| maximal quotient of | C2×#26018079, #36443809, #36443813, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4201);