Finite Group DatabasebetaFinite Group Databasebeta| order | 19088 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C1193 ⋊ C2 |
| Sylow | C1193 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9544 |
Polycyclic presentation:
2^4,1193|a^2=d,b^a=bc,e^b=e^11924778 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊C4×D1193, C2×#34061782, #50302929, … |
| maximal normal subgroup of | C22⋊C4×D1193, C2×#34061782, #50302929, … |
| maximal quotient of | #50302879, #50302884, #50302886, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19088, 17);