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Results (26 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{4}=b^{20}=1, b^{a}=b^{19} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P
$C_{20}:C_4$ 1A $1$ $1$ $C_{20}:C_4$ 1A 1A $1$
$C_{20}:C_4$ 2A $2$ $1$ $C_{20}:C_4$ 1A 2A $a^{2}$
$C_{20}:C_4$ 2B $2$ $1$ $C_{20}:C_4$ 1A 2B $a^{2}b^{10}$
$C_{20}:C_4$ 2C $2$ $1$ $C_{20}:C_4$ 1A 2C $b^{10}$
$C_{20}:C_4$ 4A $4$ $2$ $C_2\times C_{20}$ 2C 4A $b^{5}$
$C_{20}:C_4$ 4B $4$ $2$ $C_2\times C_{20}$ 2C 4B $a^{2}b^{5}$
$C_{20}:C_4$ 4C1 $4$ $10$ $C_2\times C_4$ 2A 4C1 $ab^{14}$
$C_{20}:C_4$ 4C-1 $4$ $10$ $C_2\times C_4$ 2A 4C-1 $a^{3}b^{14}$
$C_{20}:C_4$ 4D1 $4$ $10$ $C_2\times C_4$ 2A 4D1 $a^{3}b^{11}$
$C_{20}:C_4$ 4D-1 $4$ $10$ $C_2\times C_4$ 2A 4D-1 $ab^{11}$
$C_{20}:C_4$ 5A1 $5$ $2$ $C_2\times C_{20}$ 5A2 1A $b^{8}$
$C_{20}:C_4$ 5A2 $5$ $2$ $C_2\times C_{20}$ 5A1 1A $b^{16}$
$C_{20}:C_4$ 10A1 $10$ $2$ $C_2\times C_{20}$ 5A1 2A $a^{2}b^{4}$
$C_{20}:C_4$ 10A3 $10$ $2$ $C_2\times C_{20}$ 5A2 2A $a^{2}b^{8}$
$C_{20}:C_4$ 10B1 $10$ $2$ $C_2\times C_{20}$ 5A2 2B $a^{2}b^{2}$
$C_{20}:C_4$ 10B3 $10$ $2$ $C_2\times C_{20}$ 5A1 2B $a^{2}b^{6}$
$C_{20}:C_4$ 10C1 $10$ $2$ $C_2\times C_{20}$ 5A2 2C $b^{2}$
$C_{20}:C_4$ 10C3 $10$ $2$ $C_2\times C_{20}$ 5A1 2C $b^{6}$
$C_{20}:C_4$ 20A1 $20$ $2$ $C_2\times C_{20}$ 10C1 4A $b$
$C_{20}:C_4$ 20A3 $20$ $2$ $C_2\times C_{20}$ 10C3 4A $b^{3}$
$C_{20}:C_4$ 20A7 $20$ $2$ $C_2\times C_{20}$ 10C3 4A $b^{13}$
$C_{20}:C_4$ 20A9 $20$ $2$ $C_2\times C_{20}$ 10C1 4A $b^{9}$
$C_{20}:C_4$ 20B1 $20$ $2$ $C_2\times C_{20}$ 10C1 4B $a^{2}b$
$C_{20}:C_4$ 20B3 $20$ $2$ $C_2\times C_{20}$ 10C3 4B $a^{2}b^{3}$
$C_{20}:C_4$ 20B7 $20$ $2$ $C_2\times C_{20}$ 10C3 4B $a^{2}b^{13}$
$C_{20}:C_4$ 20B9 $20$ $2$ $C_2\times C_{20}$ 10C1 4B $a^{2}b^{9}$
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