↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 176 matches)

Next   displayed columns for results

Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{40}=b^{50}=1, b^{a}=b^{19} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P
$C_{50}:C_{40}$ 1A $1$ $1$ $C_{50}:C_{40}$ 1A 1A $1$
$C_{50}:C_{40}$ 2A $2$ $1$ $C_{50}:C_{40}$ 1A 2A $b^{25}$
$C_{50}:C_{40}$ 2B $2$ $1$ $C_{50}:C_{40}$ 1A 2B $a^{20}b^{25}$
$C_{50}:C_{40}$ 2C $2$ $1$ $C_{50}:C_{40}$ 1A 2C $a^{20}$
$C_{50}:C_{40}$ 4A1 $4$ $1$ $C_{50}:C_{40}$ 2C 4A1 $a^{10}b^{25}$
$C_{50}:C_{40}$ 4A-1 $4$ $1$ $C_{50}:C_{40}$ 2C 4A-1 $a^{30}b^{25}$
$C_{50}:C_{40}$ 4B1 $4$ $1$ $C_{50}:C_{40}$ 2C 4B1 $a^{10}$
$C_{50}:C_{40}$ 4B-1 $4$ $1$ $C_{50}:C_{40}$ 2C 4B-1 $a^{30}$
$C_{50}:C_{40}$ 5A1 $5$ $2$ $C_{100}:C_{10}$ 5A2 1A $b^{10}$
$C_{50}:C_{40}$ 5A2 $5$ $2$ $C_{100}:C_{10}$ 5A1 1A $b^{20}$
$C_{50}:C_{40}$ 5B1 $5$ $5$ $C_{10}:C_{40}$ 5B2 1A $a^{16}b^{10}$
$C_{50}:C_{40}$ 5B-1 $5$ $5$ $C_{10}:C_{40}$ 5B-2 1A $a^{24}b^{40}$
$C_{50}:C_{40}$ 5B2 $5$ $5$ $C_{10}:C_{40}$ 5B-1 1A $a^{32}b^{20}$
$C_{50}:C_{40}$ 5B-2 $5$ $5$ $C_{10}:C_{40}$ 5B1 1A $a^{8}b^{30}$
$C_{50}:C_{40}$ 8A1 $8$ $25$ $C_2\times C_{40}$ 4B1 8A-3 $a^{5}$
$C_{50}:C_{40}$ 8A-1 $8$ $25$ $C_2\times C_{40}$ 4B-1 8A3 $a^{35}$
$C_{50}:C_{40}$ 8A3 $8$ $25$ $C_2\times C_{40}$ 4B-1 8A-1 $a^{15}$
$C_{50}:C_{40}$ 8A-3 $8$ $25$ $C_2\times C_{40}$ 4B1 8A1 $a^{25}$
$C_{50}:C_{40}$ 8B1 $8$ $25$ $C_2\times C_{40}$ 4B1 8B-3 $a^{5}b^{11}$
$C_{50}:C_{40}$ 8B-1 $8$ $25$ $C_2\times C_{40}$ 4B-1 8B3 $a^{35}b^{11}$
$C_{50}:C_{40}$ 8B3 $8$ $25$ $C_2\times C_{40}$ 4B-1 8B-1 $a^{15}b^{11}$
$C_{50}:C_{40}$ 8B-3 $8$ $25$ $C_2\times C_{40}$ 4B1 8B1 $a^{25}b^{11}$
$C_{50}:C_{40}$ 10A1 $10$ $2$ $C_{100}:C_{10}$ 5A1 2A $b^{5}$
$C_{50}:C_{40}$ 10A3 $10$ $2$ $C_{100}:C_{10}$ 5A2 2A $b^{15}$
$C_{50}:C_{40}$ 10B1 $10$ $2$ $C_{100}:C_{10}$ 5A1 2B $a^{20}b^{5}$
$C_{50}:C_{40}$ 10B3 $10$ $2$ $C_{100}:C_{10}$ 5A2 2B $a^{20}b^{15}$
$C_{50}:C_{40}$ 10C1 $10$ $2$ $C_{100}:C_{10}$ 5A1 2C $a^{20}b^{20}$
$C_{50}:C_{40}$ 10C3 $10$ $2$ $C_{100}:C_{10}$ 5A2 2C $a^{20}b^{10}$
$C_{50}:C_{40}$ 10D1 $10$ $5$ $C_{10}:C_{40}$ 5B1 2A $a^{8}b^{5}$
$C_{50}:C_{40}$ 10D-1 $10$ $5$ $C_{10}:C_{40}$ 5B-1 2A $a^{32}b^{5}$
$C_{50}:C_{40}$ 10D3 $10$ $5$ $C_{10}:C_{40}$ 5B-2 2A $a^{24}b^{5}$
$C_{50}:C_{40}$ 10D-3 $10$ $5$ $C_{10}:C_{40}$ 5B2 2A $a^{16}b^{5}$
$C_{50}:C_{40}$ 10E1 $10$ $5$ $C_{10}:C_{40}$ 5B-2 2B $a^{4}b^{5}$
$C_{50}:C_{40}$ 10E-1 $10$ $5$ $C_{10}:C_{40}$ 5B2 2B $a^{36}b^{5}$
$C_{50}:C_{40}$ 10E3 $10$ $5$ $C_{10}:C_{40}$ 5B-1 2B $a^{12}b^{5}$
$C_{50}:C_{40}$ 10E-3 $10$ $5$ $C_{10}:C_{40}$ 5B1 2B $a^{28}b^{5}$
$C_{50}:C_{40}$ 10F1 $10$ $5$ $C_{10}:C_{40}$ 5B-2 2C $a^{4}b^{10}$
$C_{50}:C_{40}$ 10F-1 $10$ $5$ $C_{10}:C_{40}$ 5B2 2C $a^{36}b^{40}$
$C_{50}:C_{40}$ 10F3 $10$ $5$ $C_{10}:C_{40}$ 5B-1 2C $a^{12}b^{30}$
$C_{50}:C_{40}$ 10F-3 $10$ $5$ $C_{10}:C_{40}$ 5B1 2C $a^{28}b^{20}$
$C_{50}:C_{40}$ 20A1 $20$ $2$ $C_{100}:C_{10}$ 10C1 4B1 $a^{10}b^{10}$
$C_{50}:C_{40}$ 20A-1 $20$ $2$ $C_{100}:C_{10}$ 10C1 4B-1 $a^{30}b^{40}$
$C_{50}:C_{40}$ 20A3 $20$ $2$ $C_{100}:C_{10}$ 10C3 4B-1 $a^{30}b^{30}$
$C_{50}:C_{40}$ 20A-3 $20$ $2$ $C_{100}:C_{10}$ 10C3 4B1 $a^{10}b^{20}$
$C_{50}:C_{40}$ 20B1 $20$ $2$ $C_{100}:C_{10}$ 10C3 4A1 $a^{10}b^{5}$
$C_{50}:C_{40}$ 20B-1 $20$ $2$ $C_{100}:C_{10}$ 10C3 4A-1 $a^{30}b^{45}$
$C_{50}:C_{40}$ 20B3 $20$ $2$ $C_{100}:C_{10}$ 10C1 4A-1 $a^{30}b^{15}$
$C_{50}:C_{40}$ 20B-3 $20$ $2$ $C_{100}:C_{10}$ 10C1 4A1 $a^{10}b^{35}$
$C_{50}:C_{40}$ 20C1 $20$ $5$ $C_{10}:C_{40}$ 10F1 4A1 $a^{2}b^{5}$
$C_{50}:C_{40}$ 20C-1 $20$ $5$ $C_{10}:C_{40}$ 10F-1 4A-1 $a^{38}b^{5}$
Next   displayed columns for results