Finite Group DatabasebetaFinite Group Databasebeta| order | 912 |
| isoclinism | isoclinic class of Dic38 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C23 |
| direct product | C2×C3×D76 |
| Fitting | C2×C3×C4×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ C2×D4 |
| Sylow | C19 ⋊ C2×C3×D4 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 456 |
246 conjugacy classes — view the full character table.
| maximal subgroup of | #14268848, #14268854, #14268855, … |
| maximal normal subgroup of | #14268848, #14268854, #14268855, … |
| maximal quotient of | C3×#10597315, C3×C4×D76, C3×#10597320, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(912, 175);