Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×#208 |
| Hall | C3×C19 ⋊ M16 |
| Sylow | C3 ⋊ M16×C19 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
342 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14268848, #14268850, #14268851, … |
| maximal normal subgroup of | #14268848, #14268850, #14268851, … |
| maximal quotient of | C19×#803, C19×C4⋊(C3⋊C8), C19×#830, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 80);