Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C1 |
| direct product | M16×C19⋊C3 |
| unambiguous semidirect product | (M16×C19)⋊C3 |
| Fitting, Hall | M16×C19 ⋊ C3 |
| Sylow | C19 ⋊ C3×M16 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 152 |
90 conjugacy classes — view the full character table.
| maximal subgroup of | #10597279⋊C3, #10597280⋊C3, #10597281⋊C3, … |
| maximal normal subgroup of | #10597279⋊C3, #10597280⋊C3, #10597281⋊C3, … |
| maximal quotient of | #97×C19⋊C3, C22⋊C8×C19⋊C3, C4⋊C8×C19⋊C3, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 52);