Finite Group DatabasebetaFinite Group Databasebeta| order | 19232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#23751261 |
| Fitting | C22×C4×C601 ⋊ C2 |
| Sylow | C601 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9616 |
4820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #50308399, #50308523, C4×#23751261, … |
| maximal normal subgroup of | #50308399, #50308523, C4×#23751261, … |
| maximal quotient of | C2×#34063732, C4×#23751261, #50308531, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19232, 97);