Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C19 · Schur multiplier (H2) = C22 |
| direct product | C2×C19×Dic6 |
| unambiguous semidirect product | (C2×C3)⋊(Q8×C19) |
| Hall | C3×C19 ⋊ C2×Q8 |
| Sylow | C3 ⋊ C2×Q8×C19 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 912 |
342 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14268852, #14268862, #14268863, … |
| maximal normal subgroup of | #14268852, #14268862, #14268863, … |
| maximal quotient of | C4×C19×Dic6, C19×#869, C19×#870, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 183);