Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C3×C4×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ C22⋊C4 |
| Sylow | C19 ⋊ (C2×D3)⋊C4 |
| Sylow | C3 ⋊ (C2×D19)⋊C4 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
Polycyclic presentation:
2^4,3,19|b^2=c,b^a=bd,e^a=e^2,f^a=f^18234 conjugacy classes — view the full character table.
| maximal subgroup of | #14269204, #14269212, #14269235, … |
| maximal normal subgroup of | #14269204, #14269212, #14269235, … |
| maximal quotient of | #14268999, #14269000, #14269003, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 100);