↑

Learn more

Refine search

Subgroup label Subgroup order Cyclic Abelian Solvable
Normal Characteristic Perfect Maximal Central
Ambient label Ambient order Direct product Semidirect product
Quotient label Subgroup index Cyclic quotient Abelian quotient Solvable quotient
Maximal quotient Non-trivial proper Hall subgroup Sylow subgroup
Sort order Select

Results (1-50 of 54 matches)

Next   displayed columns for results
Label Subgroup Ambient Quotient
Name Order Sylow norm char max cent ab Name Order Name Size max ab
980.15.980.a1.a1 $C_1$ $1$ ✓ ✓ ✓ ✓ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
1960.44.980.a1.a1 $C_2$ $2$ ✓ ✓ ✓ ✓ $C_{35}:C_{56}$ $2^{3} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$ ✓
1960.102.980.b1.a1 $C_2$ $2$ ✓ ✓ ✓ $C_{70}:C_{28}$ $2^{3} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$ ✓
1960.102.980.b1.b1 $C_2$ $2$ ✓ ✓ ✓ $C_{70}:C_{28}$ $2^{3} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$ ✓
2940.d.980.a1.a1 $C_3$ $3$ $3$ ✓ ✓ ✓ $C_{105}:C_{28}$ $2^{2} \cdot 3 \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$ ✓
2940.i.980.a1.a1 $C_3$ $3$ $3$ ✓ ✓ ✓ ✓ $C_{35}:C_{84}$ $2^{2} \cdot 3 \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$ ✓
3920.h.980.a1.a1 $C_2^2$ $2^{2}$ ✓ ✓ ✓ $C_{140}.C_{28}$ $2^{4} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
3920.h.980.c1.a1 $C_4$ $2^{2}$ ✓ ✓ ✓ $C_{140}.C_{28}$ $2^{4} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
3920.k.980.a1.a1 $C_4$ $2^{2}$ ✓ ✓ ✓ ✓ $C_{35}:C_{112}$ $2^{4} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
4900.b.980.a1.a1 $C_5$ $5$ ✓ ✓ ✓ ✓ $C_{35}:C_{140}$ $2^{2} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$ ✓
5880.j.980.a1.a1 $C_6$ $2 \cdot 3$ ✓ ✓ ✓ $C_{105}:C_{56}$ $2^{3} \cdot 3 \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
5880.s.980.a1.a1 $C_6$ $2 \cdot 3$ ✓ ✓ ✓ ✓ $C_{35}:C_{168}$ $2^{3} \cdot 3 \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
6860.d.980.b1.a1 $C_7$ $7$ ✓ ✓ ✓ $C_{245}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{3}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$ ✓
6860.i.980.a1.a1 $C_7$ $7$ ✓ ✓ ✓ ✓ $C_{35}:C_{196}$ $2^{2} \cdot 5 \cdot 7^{3}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$ ✓
7840.e.980.b1.a1 $C_8$ $2^{3}$ ✓ ✓ ✓ $C_{280}.C_{28}$ $2^{5} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
7840.e.980.c1.a1 $C_8$ $2^{3}$ ✓ ✓ ✓ $C_{280}.C_{28}$ $2^{5} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
7840.j.980.a1.a1 $C_2\times C_4$ $2^{3}$ ✓ ✓ ✓ $C_{140}.C_{56}$ $2^{5} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
7840.j.980.c1.a1 $C_8$ $2^{3}$ ✓ ✓ ✓ $C_{140}.C_{56}$ $2^{5} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
8820.c.980.a1.a1 $C_3^2$ $3^{2}$ $3$ ✓ ✓ ✓ $C_{105}:C_{84}$ $2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
9800.e.980.a1.a1 $C_{10}$ $2 \cdot 5$ ✓ ✓ ✓ ✓ $C_{35}:C_{280}$ $2^{3} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
11760.f.980.a1.a1 $C_2\times C_6$ $2^{2} \cdot 3$ ✓ ✓ ✓ $C_{420}.C_{28}$ $2^{4} \cdot 3 \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
11760.f.980.c1.a1 $C_{12}$ $2^{2} \cdot 3$ ✓ ✓ ✓ $C_{420}.C_{28}$ $2^{4} \cdot 3 \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
11760.h.980.a1.a1 $C_2\times C_6$ $2^{2} \cdot 3$ ✓ ✓ ✓ $C_{140}.C_{84}$ $2^{4} \cdot 3 \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
11760.h.980.c1.a1 $C_{12}$ $2^{2} \cdot 3$ ✓ ✓ ✓ $C_{140}.C_{84}$ $2^{4} \cdot 3 \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
14700.b.980.a1.a1 $C_{15}$ $3 \cdot 5$ ✓ ✓ ✓ $C_{105}:C_{140}$ $2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
14700.e.980.a1.a1 $C_{15}$ $3 \cdot 5$ ✓ ✓ ✓ ✓ $C_{105}:C_{140}$ $2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
15680.d.980.a1.a1 $C_4^2$ $2^{4}$ ✓ ✓ ✓ $C_{280}.C_{56}$ $2^{6} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
15680.d.980.c1.a1 $C_2\times C_8$ $2^{4}$ ✓ ✓ ✓ $C_{280}.C_{56}$ $2^{6} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
17640.f.980.a1.a1 $C_3\times C_6$ $2 \cdot 3^{2}$ ✓ ✓ ✓ $C_{105}:C_{168}$ $2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
19600.h.980.a1 $C_2\times C_{10}$ $2^{2} \cdot 5$ ✓ ✓ ✓ $C_{140}.C_{140}$ $2^{4} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
19600.h.980.e1 $C_{20}$ $2^{2} \cdot 5$ ✓ ✓ ✓ $C_{140}.C_{140}$ $2^{4} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
19600.j.980.a1.a1 $C_{20}$ $2^{2} \cdot 5$ ✓ ✓ ✓ ✓ $C_{35}:C_{560}$ $2^{4} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
29400.e.980.a1.a1 $C_{30}$ $2 \cdot 3 \cdot 5$ ✓ ✓ ✓ ✓ $C_{105}:C_{280}$ $2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
29400.f.980.a1.a1 $C_{30}$ $2 \cdot 3 \cdot 5$ ✓ ✓ ✓ $C_{105}:C_{280}$ $2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
34300.c.980.b1.a1 $C_{35}$ $5 \cdot 7$ ✓ ✓ ✓ $C_{245}:C_{140}$ $2^{2} \cdot 5^{2} \cdot 7^{3}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
34300.e.980.a1.a1 $C_{35}$ $5 \cdot 7$ ✓ ✓ ✓ ✓ $C_{35}:C_{980}$ $2^{2} \cdot 5^{2} \cdot 7^{3}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
35280.d.980._.B $C_6^2$ $2^{2} \cdot 3^{2}$ ✓ ✓ $C_{420}.C_{84}$ $2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
35280.d.980._.C $C_3\times C_{12}$ $2^{2} \cdot 3^{2}$ ✓ ✓ $C_{420}.C_{84}$ $2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
39200.d.980._.C $C_{40}$ $2^{3} \cdot 5$ ✓ ✓ $C_{280}.C_{140}$ $2^{5} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
39200.d.980._.F $C_{40}$ $2^{3} \cdot 5$ ✓ ✓ $C_{280}.C_{140}$ $2^{5} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
39200.f.980._.B $C_2\times C_{20}$ $2^{3} \cdot 5$ ✓ ✓ $C_{140}.C_{280}$ $2^{5} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
39200.f.980._.E $C_{40}$ $2^{3} \cdot 5$ ✓ ✓ $C_{140}.C_{280}$ $2^{5} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
44100.c.980.a1.a1 $C_3\times C_{15}$ $3^{2} \cdot 5$ ✓ ✓ ✓ $C_{105}:C_{420}$ $2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
48020.b.980.a1 $C_7^2$ $7^{2}$ ✓ ✓ ✓ $C_{245}:C_{196}$ $2^{2} \cdot 5 \cdot 7^{4}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
58800.b.980._.B $C_2\times C_{30}$ $2^{2} \cdot 3 \cdot 5$ ✓ ✓ $C_{420}.C_{140}$ $2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
58800.b.980._.E $C_{60}$ $2^{2} \cdot 3 \cdot 5$ ✓ ✓ $C_{420}.C_{140}$ $2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
58800.f.980._.B $C_2\times C_{30}$ $2^{2} \cdot 3 \cdot 5$ ✓ ✓ $C_{140}.C_{420}$ $2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
58800.f.980._.E $C_{60}$ $2^{2} \cdot 3 \cdot 5$ ✓ ✓ $C_{140}.C_{420}$ $2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
78400.c.980._.C $C_4\times C_{20}$ $2^{4} \cdot 5$ ✓ ✓ ✓ $C_{280}.C_{280}$ $2^{6} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
78400.c.980._.F $C_2\times C_{40}$ $2^{4} \cdot 5$ ✓ ✓ ✓ $C_{280}.C_{280}$ $2^{6} \cdot 5^{2} \cdot 7^{2}$ $C_{35}:C_{28}$ $2^{2} \cdot 5 \cdot 7^{2}$
Next   displayed columns for results