| Label |
Subgroup |
|
Ambient |
|
Quotient |
| Name |
Order |
Sylow |
norm |
char |
max |
cent |
cyc |
ab |
nilp |
sup solv |
solv |
perf |
simp |
Agp |
Zgp |
metab |
metacyc |
Name |
Order |
Name |
Size |
max |
cyc |
ab |
nilp |
sup solv |
solv |
simp |
Agp |
metab |
| 16934047920.b.1.a1.a1 |
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
✓ |
✓ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
$C_1$ |
$1$ |
|
✓ |
✓ |
✓ |
✓ |
✓ |
|
✓ |
✓ |
| 16934047920.b.3.a1.a1 |
$\PSL(3,19)$ |
$2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
✓ |
✓ |
✓ |
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
$C_3$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
✓ |
✓ |
✓ |
✓ |
✓ |
| 16934047920.b.381._.A |
$C_{19}^2.\GL(2,19)$ |
$2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
|
|
|
✓ |
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$3 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.381._.B |
$C_{19}^2.\GL(2,19)$ |
$2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
|
|
|
✓ |
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$3 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.762._.A |
$C_{19}^2.C_{18}.\PSL(2,19)$ |
$2^{3} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2 \cdot 3 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.762._.B |
$C_{19}^2.C_{18}.\PSL(2,19)$ |
$2^{3} \cdot 3^{4} \cdot 5 \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2 \cdot 3 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.1143._.A |
$C_{19}^2.C_6.\PSL(2,19).C_2$ |
$2^{4} \cdot 3^{3} \cdot 5 \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$3^{2} \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.1143._.B |
$C_{19}^2.C_6.\PSL(2,19).C_2$ |
$2^{4} \cdot 3^{3} \cdot 5 \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$3^{2} \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.2286._.A |
$C_{19}^2.C_6.\PSL(2,19)$ |
$2^{3} \cdot 3^{3} \cdot 5 \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2 \cdot 3^{2} \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.2286._.B |
$C_{19}^2.C_6.\PSL(2,19)$ |
$2^{3} \cdot 3^{3} \cdot 5 \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2 \cdot 3^{2} \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.3429._.A |
$C_{19}^2.C_2.\PSL(2,19).C_2$ |
$2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$3^{3} \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.3429._.B |
$C_{19}^2.C_2.\PSL(2,19).C_2$ |
$2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$3^{3} \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.6858._.A |
$C_{19}^2.\SL(2,19)$ |
$2^{3} \cdot 3^{2} \cdot 5 \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
|
|
✓ |
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2 \cdot 3^{3} \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.6858._.B |
$C_{19}^2.\SL(2,19)$ |
$2^{3} \cdot 3^{2} \cdot 5 \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
|
|
✓ |
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2 \cdot 3^{3} \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.7620.a1.a1 |
$\He_{19}.C_{18}^2$ |
$2^{2} \cdot 3^{4} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3 \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.15240._.A |
$\He_{19}.C_9^2.C_2$ |
$2 \cdot 3^{4} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3 \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.15240._.B |
$\He_{19}.C_9^2.C_2$ |
$2 \cdot 3^{4} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3 \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.15240._.C |
$\He_{19}.C_9^2.C_2$ |
$2 \cdot 3^{4} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3 \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.22860._.A |
$\He_{19}.C_3.C_6^2$ |
$2^{2} \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.22860._.B |
$\He_{19}.C_3.C_6^2$ |
$2^{2} \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.22860._.C |
$\He_{19}.C_3.C_6^2$ |
$2^{2} \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.22860._.D |
$\He_{19}.C_3.C_6^2$ |
$2^{2} \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.30480.a1.a1 |
$\He_{19}:C_9^2$ |
$3^{4} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{4} \cdot 3 \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.43434._.A |
$C_{19}^2.C_{18}.A_5$ |
$2^{3} \cdot 3^{3} \cdot 5 \cdot 19^{2}$ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2 \cdot 3^{2} \cdot 19 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.43434._.B |
$C_{19}^2.C_{18}.A_5$ |
$2^{3} \cdot 3^{3} \cdot 5 \cdot 19^{2}$ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2 \cdot 3^{2} \cdot 19 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.A |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.B |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.C |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.D |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.E |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.F |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.G |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.H |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.I |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.J |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.K |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.45720._.L |
$\He_{19}:(C_3\times C_{18})$ |
$2 \cdot 3^{3} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{3} \cdot 3^{2} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.65151._.A |
$C_{19}^2.C_{60}.C_6.C_2$ |
$2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2}$ |
|
|
|
|
|
|
|
|
|
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$3^{3} \cdot 19 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.65151._.B |
$C_{19}^2.C_{60}.C_6.C_2$ |
$2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2}$ |
|
|
|
|
|
|
|
|
|
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$3^{3} \cdot 19 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.A |
$\He_{19}:(C_2\times C_{18})$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.B |
$\He_{19}:(C_2\times C_{18})$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.C |
$\He_{19}:(C_2\times C_{18})$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.D |
$\He_{19}:C_6^2$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.E |
$\He_{19}:(C_2\times C_{18})$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.F |
$\He_{19}:(C_2\times C_{18})$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.G |
$\He_{19}:(C_2\times C_{18})$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.H |
$\He_{19}:(C_2\times C_{18})$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.I |
$\He_{19}:(C_2\times C_{18})$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.J |
$\He_{19}:(C_2\times C_{18})$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
| 16934047920.b.68580._.K |
$\He_{19}:(C_2\times C_{18})$ |
$2^{2} \cdot 3^{2} \cdot 19^{3}$ |
|
|
|
|
|
|
|
|
✓ |
✓ |
|
|
|
|
|
|
|
$\PGL(3,19)$ |
$2^{4} \cdot 3^{5} \cdot 5 \cdot 19^{3} \cdot 127$ |
|
|
$2^{2} \cdot 3^{3} \cdot 5 \cdot 127$ |
|
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
$-$ |
