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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{597}=1, b^{a}=b^{397} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 3P 199P
$C_3\times D_{199}$ 1A $1$ $1$ $C_3\times D_{199}$ 1A 1A 1A $1$
$C_3\times D_{199}$ 2A $2$ $199$ $C_6$ 1A 2A 2A $a$
$C_3\times D_{199}$ 3A1 $3$ $1$ $C_3\times D_{199}$ 3A-1 1A 3A-1 $b^{199}$
$C_3\times D_{199}$ 3A-1 $3$ $1$ $C_3\times D_{199}$ 3A1 1A 3A1 $b^{398}$
$C_3\times D_{199}$ 6A1 $6$ $199$ $C_6$ 3A-1 2A 6A-1 $ab^{199}$
$C_3\times D_{199}$ 6A-1 $6$ $199$ $C_6$ 3A1 2A 6A1 $ab^{398}$
$C_3\times D_{199}$ 199A1 $199$ $2$ $C_{597}$ 199A2 199A3 199A11 $b^{3}$
$C_3\times D_{199}$ 199A2 $199$ $2$ $C_{597}$ 199A4 199A6 199A22 $b^{6}$
$C_3\times D_{199}$ 199A3 $199$ $2$ $C_{597}$ 199A6 199A9 199A33 $b^{9}$
$C_3\times D_{199}$ 199A4 $199$ $2$ $C_{597}$ 199A8 199A12 199A44 $b^{12}$
$C_3\times D_{199}$ 199A5 $199$ $2$ $C_{597}$ 199A10 199A15 199A55 $b^{15}$
$C_3\times D_{199}$ 199A6 $199$ $2$ $C_{597}$ 199A12 199A18 199A66 $b^{18}$
$C_3\times D_{199}$ 199A7 $199$ $2$ $C_{597}$ 199A14 199A21 199A77 $b^{21}$
$C_3\times D_{199}$ 199A8 $199$ $2$ $C_{597}$ 199A16 199A24 199A88 $b^{24}$
$C_3\times D_{199}$ 199A9 $199$ $2$ $C_{597}$ 199A18 199A27 199A99 $b^{27}$
$C_3\times D_{199}$ 199A10 $199$ $2$ $C_{597}$ 199A20 199A30 199A89 $b^{30}$
$C_3\times D_{199}$ 199A11 $199$ $2$ $C_{597}$ 199A22 199A33 199A78 $b^{33}$
$C_3\times D_{199}$ 199A12 $199$ $2$ $C_{597}$ 199A24 199A36 199A67 $b^{36}$
$C_3\times D_{199}$ 199A13 $199$ $2$ $C_{597}$ 199A26 199A39 199A56 $b^{39}$
$C_3\times D_{199}$ 199A14 $199$ $2$ $C_{597}$ 199A28 199A42 199A45 $b^{42}$
$C_3\times D_{199}$ 199A15 $199$ $2$ $C_{597}$ 199A30 199A45 199A34 $b^{45}$
$C_3\times D_{199}$ 199A16 $199$ $2$ $C_{597}$ 199A32 199A48 199A23 $b^{48}$
$C_3\times D_{199}$ 199A17 $199$ $2$ $C_{597}$ 199A34 199A51 199A12 $b^{51}$
$C_3\times D_{199}$ 199A18 $199$ $2$ $C_{597}$ 199A36 199A54 199A1 $b^{54}$
$C_3\times D_{199}$ 199A19 $199$ $2$ $C_{597}$ 199A38 199A57 199A10 $b^{57}$
$C_3\times D_{199}$ 199A20 $199$ $2$ $C_{597}$ 199A40 199A60 199A21 $b^{60}$
$C_3\times D_{199}$ 199A21 $199$ $2$ $C_{597}$ 199A42 199A63 199A32 $b^{63}$
$C_3\times D_{199}$ 199A22 $199$ $2$ $C_{597}$ 199A44 199A66 199A43 $b^{66}$
$C_3\times D_{199}$ 199A23 $199$ $2$ $C_{597}$ 199A46 199A69 199A54 $b^{69}$
$C_3\times D_{199}$ 199A24 $199$ $2$ $C_{597}$ 199A48 199A72 199A65 $b^{72}$
$C_3\times D_{199}$ 199A25 $199$ $2$ $C_{597}$ 199A50 199A75 199A76 $b^{75}$
$C_3\times D_{199}$ 199A26 $199$ $2$ $C_{597}$ 199A52 199A78 199A87 $b^{78}$
$C_3\times D_{199}$ 199A27 $199$ $2$ $C_{597}$ 199A54 199A81 199A98 $b^{81}$
$C_3\times D_{199}$ 199A28 $199$ $2$ $C_{597}$ 199A56 199A84 199A90 $b^{84}$
$C_3\times D_{199}$ 199A29 $199$ $2$ $C_{597}$ 199A58 199A87 199A79 $b^{87}$
$C_3\times D_{199}$ 199A30 $199$ $2$ $C_{597}$ 199A60 199A90 199A68 $b^{90}$
$C_3\times D_{199}$ 199A31 $199$ $2$ $C_{597}$ 199A62 199A93 199A57 $b^{93}$
$C_3\times D_{199}$ 199A32 $199$ $2$ $C_{597}$ 199A64 199A96 199A46 $b^{96}$
$C_3\times D_{199}$ 199A33 $199$ $2$ $C_{597}$ 199A66 199A99 199A35 $b^{99}$
$C_3\times D_{199}$ 199A34 $199$ $2$ $C_{597}$ 199A68 199A97 199A24 $b^{102}$
$C_3\times D_{199}$ 199A35 $199$ $2$ $C_{597}$ 199A70 199A94 199A13 $b^{105}$
$C_3\times D_{199}$ 199A36 $199$ $2$ $C_{597}$ 199A72 199A91 199A2 $b^{108}$
$C_3\times D_{199}$ 199A37 $199$ $2$ $C_{597}$ 199A74 199A88 199A9 $b^{111}$
$C_3\times D_{199}$ 199A38 $199$ $2$ $C_{597}$ 199A76 199A85 199A20 $b^{114}$
$C_3\times D_{199}$ 199A39 $199$ $2$ $C_{597}$ 199A78 199A82 199A31 $b^{117}$
$C_3\times D_{199}$ 199A40 $199$ $2$ $C_{597}$ 199A80 199A79 199A42 $b^{120}$
$C_3\times D_{199}$ 199A41 $199$ $2$ $C_{597}$ 199A82 199A76 199A53 $b^{123}$
$C_3\times D_{199}$ 199A42 $199$ $2$ $C_{597}$ 199A84 199A73 199A64 $b^{126}$
$C_3\times D_{199}$ 199A43 $199$ $2$ $C_{597}$ 199A86 199A70 199A75 $b^{129}$
$C_3\times D_{199}$ 199A44 $199$ $2$ $C_{597}$ 199A88 199A67 199A86 $b^{132}$
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