↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 160 matches)

Next   displayed columns for results

Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{20}=b^{20}=1, b^{a}=b^{9} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P
$C_{20}:C_{20}$ 1A $1$ $1$ $C_{20}:C_{20}$ 1A 1A $1$
$C_{20}:C_{20}$ 2A $2$ $1$ $C_{20}:C_{20}$ 1A 2A $a^{10}$
$C_{20}:C_{20}$ 2B $2$ $1$ $C_{20}:C_{20}$ 1A 2B $a^{10}b^{10}$
$C_{20}:C_{20}$ 2C $2$ $1$ $C_{20}:C_{20}$ 1A 2C $b^{10}$
$C_{20}:C_{20}$ 4A1 $4$ $1$ $C_{20}:C_{20}$ 2C 4A1 $b^{5}$
$C_{20}:C_{20}$ 4A-1 $4$ $1$ $C_{20}:C_{20}$ 2C 4A-1 $b^{15}$
$C_{20}:C_{20}$ 4B1 $4$ $1$ $C_{20}:C_{20}$ 2C 4B1 $a^{10}b^{5}$
$C_{20}:C_{20}$ 4B-1 $4$ $1$ $C_{20}:C_{20}$ 2C 4B-1 $a^{10}b^{15}$
$C_{20}:C_{20}$ 4C1 $4$ $5$ $C_4\times C_{20}$ 2A 4C1 $a^{5}$
$C_{20}:C_{20}$ 4C-1 $4$ $5$ $C_4\times C_{20}$ 2A 4C-1 $a^{15}$
$C_{20}:C_{20}$ 4D1 $4$ $5$ $C_4\times C_{20}$ 2A 4D1 $a^{5}b^{2}$
$C_{20}:C_{20}$ 4D-1 $4$ $5$ $C_4\times C_{20}$ 2A 4D-1 $a^{15}b^{2}$
$C_{20}:C_{20}$ 4E1 $4$ $5$ $C_4\times C_{20}$ 2B 4E1 $a^{5}b$
$C_{20}:C_{20}$ 4E-1 $4$ $5$ $C_4\times C_{20}$ 2B 4E-1 $a^{15}b^{11}$
$C_{20}:C_{20}$ 4F1 $4$ $5$ $C_4\times C_{20}$ 2B 4F1 $a^{5}b^{3}$
$C_{20}:C_{20}$ 4F-1 $4$ $5$ $C_4\times C_{20}$ 2B 4F-1 $a^{15}b^{13}$
$C_{20}:C_{20}$ 5A1 $5$ $1$ $C_{20}:C_{20}$ 5A2 1A $a^{16}$
$C_{20}:C_{20}$ 5A-1 $5$ $1$ $C_{20}:C_{20}$ 5A-2 1A $a^{4}$
$C_{20}:C_{20}$ 5A2 $5$ $1$ $C_{20}:C_{20}$ 5A-1 1A $a^{12}$
$C_{20}:C_{20}$ 5A-2 $5$ $1$ $C_{20}:C_{20}$ 5A1 1A $a^{8}$
$C_{20}:C_{20}$ 5B1 $5$ $2$ $C_{10}\times C_{20}$ 5B2 1A $b^{8}$
$C_{20}:C_{20}$ 5B2 $5$ $2$ $C_{10}\times C_{20}$ 5B1 1A $b^{16}$
$C_{20}:C_{20}$ 5C1 $5$ $2$ $C_{10}\times C_{20}$ 5C2 1A $a^{4}b^{8}$
$C_{20}:C_{20}$ 5C-1 $5$ $2$ $C_{10}\times C_{20}$ 5C-2 1A $a^{16}b^{12}$
$C_{20}:C_{20}$ 5C2 $5$ $2$ $C_{10}\times C_{20}$ 5C-1 1A $a^{8}b^{16}$
$C_{20}:C_{20}$ 5C-2 $5$ $2$ $C_{10}\times C_{20}$ 5C1 1A $a^{12}b^{4}$
$C_{20}:C_{20}$ 5D1 $5$ $2$ $C_{10}\times C_{20}$ 5D2 1A $a^{4}b^{4}$
$C_{20}:C_{20}$ 5D-1 $5$ $2$ $C_{10}\times C_{20}$ 5D-2 1A $a^{16}b^{16}$
$C_{20}:C_{20}$ 5D2 $5$ $2$ $C_{10}\times C_{20}$ 5D-1 1A $a^{8}b^{8}$
$C_{20}:C_{20}$ 5D-2 $5$ $2$ $C_{10}\times C_{20}$ 5D1 1A $a^{12}b^{12}$
$C_{20}:C_{20}$ 10A1 $10$ $1$ $C_{20}:C_{20}$ 5A1 2C $a^{8}b^{10}$
$C_{20}:C_{20}$ 10A-1 $10$ $1$ $C_{20}:C_{20}$ 5A-1 2C $a^{12}b^{10}$
$C_{20}:C_{20}$ 10A3 $10$ $1$ $C_{20}:C_{20}$ 5A-2 2C $a^{4}b^{10}$
$C_{20}:C_{20}$ 10A-3 $10$ $1$ $C_{20}:C_{20}$ 5A2 2C $a^{16}b^{10}$
$C_{20}:C_{20}$ 10B1 $10$ $1$ $C_{20}:C_{20}$ 5A-1 2A $a^{2}$
$C_{20}:C_{20}$ 10B-1 $10$ $1$ $C_{20}:C_{20}$ 5A1 2A $a^{18}$
$C_{20}:C_{20}$ 10B3 $10$ $1$ $C_{20}:C_{20}$ 5A2 2A $a^{6}$
$C_{20}:C_{20}$ 10B-3 $10$ $1$ $C_{20}:C_{20}$ 5A-2 2A $a^{14}$
$C_{20}:C_{20}$ 10C1 $10$ $1$ $C_{20}:C_{20}$ 5A-1 2B $a^{2}b^{10}$
$C_{20}:C_{20}$ 10C-1 $10$ $1$ $C_{20}:C_{20}$ 5A1 2B $a^{18}b^{10}$
$C_{20}:C_{20}$ 10C3 $10$ $1$ $C_{20}:C_{20}$ 5A2 2B $a^{6}b^{10}$
$C_{20}:C_{20}$ 10C-3 $10$ $1$ $C_{20}:C_{20}$ 5A-2 2B $a^{14}b^{10}$
$C_{20}:C_{20}$ 10D1 $10$ $2$ $C_{10}\times C_{20}$ 5B1 2A $a^{10}b^{4}$
$C_{20}:C_{20}$ 10D3 $10$ $2$ $C_{10}\times C_{20}$ 5B2 2A $a^{10}b^{8}$
$C_{20}:C_{20}$ 10E1 $10$ $2$ $C_{10}\times C_{20}$ 5B2 2B $a^{10}b^{2}$
$C_{20}:C_{20}$ 10E3 $10$ $2$ $C_{10}\times C_{20}$ 5B1 2B $a^{10}b^{6}$
$C_{20}:C_{20}$ 10F1 $10$ $2$ $C_{10}\times C_{20}$ 5B2 2C $b^{2}$
$C_{20}:C_{20}$ 10F3 $10$ $2$ $C_{10}\times C_{20}$ 5B1 2C $b^{6}$
$C_{20}:C_{20}$ 10G1 $10$ $2$ $C_{10}\times C_{20}$ 5C1 2A $a^{2}b^{4}$
$C_{20}:C_{20}$ 10G-1 $10$ $2$ $C_{10}\times C_{20}$ 5C-1 2A $a^{18}b^{4}$
Next   displayed columns for results