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Elements of the group are displayed as words in the presentation $\langle a, b, c, d \mid a^{2}=b^{2}=c^{2}=d^{14}=[a,b]=[a,c]=[a,d]=[b,c]=[b,d]=1, d^{c}=d^{13} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 7P
$C_2^2\times D_{14}$ 1A $1$ $1$ $C_2^2\times D_{14}$ 1A 1A $1$
$C_2^2\times D_{14}$ 2A $2$ $1$ $C_2^2\times D_{14}$ 1A 2A $d^{7}$
$C_2^2\times D_{14}$ 2B $2$ $1$ $C_2^2\times D_{14}$ 1A 2B $b$
$C_2^2\times D_{14}$ 2C $2$ $1$ $C_2^2\times D_{14}$ 1A 2C $bd^{7}$
$C_2^2\times D_{14}$ 2D $2$ $1$ $C_2^2\times D_{14}$ 1A 2D $a$
$C_2^2\times D_{14}$ 2E $2$ $1$ $C_2^2\times D_{14}$ 1A 2E $ad^{7}$
$C_2^2\times D_{14}$ 2F $2$ $1$ $C_2^2\times D_{14}$ 1A 2F $ab$
$C_2^2\times D_{14}$ 2G $2$ $1$ $C_2^2\times D_{14}$ 1A 2G $abd^{7}$
$C_2^2\times D_{14}$ 2H $2$ $7$ $C_2^4$ 1A 2H $c$
$C_2^2\times D_{14}$ 2I $2$ $7$ $C_2^4$ 1A 2I $cd$
$C_2^2\times D_{14}$ 2J $2$ $7$ $C_2^4$ 1A 2J $bc$
$C_2^2\times D_{14}$ 2K $2$ $7$ $C_2^4$ 1A 2K $ac$
$C_2^2\times D_{14}$ 2L $2$ $7$ $C_2^4$ 1A 2L $bcd$
$C_2^2\times D_{14}$ 2M $2$ $7$ $C_2^4$ 1A 2M $acd$
$C_2^2\times D_{14}$ 2N $2$ $7$ $C_2^4$ 1A 2N $abc$
$C_2^2\times D_{14}$ 2O $2$ $7$ $C_2^4$ 1A 2O $abcd$
$C_2^2\times D_{14}$ 7A1 $7$ $2$ $C_2^2\times C_{14}$ 7A2 7A3 $d^{2}$
$C_2^2\times D_{14}$ 7A2 $7$ $2$ $C_2^2\times C_{14}$ 7A3 7A1 $d^{4}$
$C_2^2\times D_{14}$ 7A3 $7$ $2$ $C_2^2\times C_{14}$ 7A1 7A2 $d^{6}$
$C_2^2\times D_{14}$ 14A1 $14$ $2$ $C_2^2\times C_{14}$ 7A1 14A3 $d$
$C_2^2\times D_{14}$ 14A3 $14$ $2$ $C_2^2\times C_{14}$ 7A3 14A5 $d^{3}$
$C_2^2\times D_{14}$ 14A5 $14$ $2$ $C_2^2\times C_{14}$ 7A2 14A1 $d^{5}$
$C_2^2\times D_{14}$ 14B1 $14$ $2$ $C_2^2\times C_{14}$ 7A2 14B3 $bd^{2}$
$C_2^2\times D_{14}$ 14B3 $14$ $2$ $C_2^2\times C_{14}$ 7A1 14B5 $bd^{6}$
$C_2^2\times D_{14}$ 14B5 $14$ $2$ $C_2^2\times C_{14}$ 7A3 14B1 $bd^{4}$
$C_2^2\times D_{14}$ 14C1 $14$ $2$ $C_2^2\times C_{14}$ 7A1 14C3 $bd$
$C_2^2\times D_{14}$ 14C3 $14$ $2$ $C_2^2\times C_{14}$ 7A3 14C5 $bd^{3}$
$C_2^2\times D_{14}$ 14C5 $14$ $2$ $C_2^2\times C_{14}$ 7A2 14C1 $bd^{5}$
$C_2^2\times D_{14}$ 14D1 $14$ $2$ $C_2^2\times C_{14}$ 7A2 14D3 $ad^{2}$
$C_2^2\times D_{14}$ 14D3 $14$ $2$ $C_2^2\times C_{14}$ 7A1 14D5 $ad^{6}$
$C_2^2\times D_{14}$ 14D5 $14$ $2$ $C_2^2\times C_{14}$ 7A3 14D1 $ad^{4}$
$C_2^2\times D_{14}$ 14E1 $14$ $2$ $C_2^2\times C_{14}$ 7A1 14E3 $ad$
$C_2^2\times D_{14}$ 14E3 $14$ $2$ $C_2^2\times C_{14}$ 7A3 14E5 $ad^{3}$
$C_2^2\times D_{14}$ 14E5 $14$ $2$ $C_2^2\times C_{14}$ 7A2 14E1 $ad^{5}$
$C_2^2\times D_{14}$ 14F1 $14$ $2$ $C_2^2\times C_{14}$ 7A2 14F3 $abd^{2}$
$C_2^2\times D_{14}$ 14F3 $14$ $2$ $C_2^2\times C_{14}$ 7A1 14F5 $abd^{6}$
$C_2^2\times D_{14}$ 14F5 $14$ $2$ $C_2^2\times C_{14}$ 7A3 14F1 $abd^{4}$
$C_2^2\times D_{14}$ 14G1 $14$ $2$ $C_2^2\times C_{14}$ 7A1 14G3 $abd$
$C_2^2\times D_{14}$ 14G3 $14$ $2$ $C_2^2\times C_{14}$ 7A3 14G5 $abd^{3}$
$C_2^2\times D_{14}$ 14G5 $14$ $2$ $C_2^2\times C_{14}$ 7A2 14G1 $abd^{5}$
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