Finite Group DatabasebetaFinite Group Databasebeta| order | 19168 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D2396 |
| Fitting | C42×C599 ⋊ C2 |
| Sylow | C599 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9584 |
4804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #50305617, #50305619, #50305955, … |
| maximal normal subgroup of | #50305617, #50305619, #50305955, … |
| maximal quotient of | C4×(C2×D599)⋊C4, C4×C4⋊Dic599, #50305764, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19168, 110);