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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{2}=b^{99}=1, b^{a}=b^{98} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 3P 11P
$D_{99}$ 1A $1$ $1$ $D_{99}$ 1A 1A 1A $1$
$D_{99}$ 2A $2$ $99$ $C_2$ 1A 2A 2A $ab^{90}$
$D_{99}$ 3A $3$ $2$ $C_{99}$ 3A 1A 3A $b^{33}$
$D_{99}$ 9A1 $9$ $2$ $C_{99}$ 9A2 3A 9A4 $b^{11}$
$D_{99}$ 9A2 $9$ $2$ $C_{99}$ 9A4 3A 9A1 $b^{22}$
$D_{99}$ 9A4 $9$ $2$ $C_{99}$ 9A1 3A 9A2 $b^{44}$
$D_{99}$ 11A1 $11$ $2$ $C_{99}$ 11A2 11A3 11A5 $b^{9}$
$D_{99}$ 11A2 $11$ $2$ $C_{99}$ 11A4 11A5 11A1 $b^{18}$
$D_{99}$ 11A3 $11$ $2$ $C_{99}$ 11A5 11A2 11A4 $b^{27}$
$D_{99}$ 11A4 $11$ $2$ $C_{99}$ 11A3 11A1 11A2 $b^{36}$
$D_{99}$ 11A5 $11$ $2$ $C_{99}$ 11A1 11A4 11A3 $b^{45}$
$D_{99}$ 33A1 $33$ $2$ $C_{99}$ 33A2 11A1 33A5 $b^{3}$
$D_{99}$ 33A2 $33$ $2$ $C_{99}$ 33A4 11A2 33A10 $b^{6}$
$D_{99}$ 33A4 $33$ $2$ $C_{99}$ 33A8 11A4 33A13 $b^{12}$
$D_{99}$ 33A5 $33$ $2$ $C_{99}$ 33A10 11A5 33A8 $b^{15}$
$D_{99}$ 33A7 $33$ $2$ $C_{99}$ 33A14 11A4 33A2 $b^{21}$
$D_{99}$ 33A8 $33$ $2$ $C_{99}$ 33A16 11A3 33A7 $b^{24}$
$D_{99}$ 33A10 $33$ $2$ $C_{99}$ 33A13 11A1 33A16 $b^{30}$
$D_{99}$ 33A13 $33$ $2$ $C_{99}$ 33A7 11A2 33A1 $b^{39}$
$D_{99}$ 33A14 $33$ $2$ $C_{99}$ 33A5 11A3 33A4 $b^{42}$
$D_{99}$ 33A16 $33$ $2$ $C_{99}$ 33A1 11A5 33A14 $b^{48}$
$D_{99}$ 99A1 $99$ $2$ $C_{99}$ 99A2 33A1 99A5 $b$
$D_{99}$ 99A2 $99$ $2$ $C_{99}$ 99A4 33A2 99A10 $b^{2}$
$D_{99}$ 99A4 $99$ $2$ $C_{99}$ 99A8 33A4 99A20 $b^{4}$
$D_{99}$ 99A5 $99$ $2$ $C_{99}$ 99A10 33A5 99A25 $b^{5}$
$D_{99}$ 99A7 $99$ $2$ $C_{99}$ 99A14 33A7 99A35 $b^{7}$
$D_{99}$ 99A8 $99$ $2$ $C_{99}$ 99A16 33A8 99A40 $b^{8}$
$D_{99}$ 99A10 $99$ $2$ $C_{99}$ 99A20 33A10 99A49 $b^{10}$
$D_{99}$ 99A13 $99$ $2$ $C_{99}$ 99A26 33A13 99A34 $b^{13}$
$D_{99}$ 99A14 $99$ $2$ $C_{99}$ 99A28 33A14 99A29 $b^{14}$
$D_{99}$ 99A16 $99$ $2$ $C_{99}$ 99A32 33A16 99A19 $b^{83}$
$D_{99}$ 99A17 $99$ $2$ $C_{99}$ 99A34 33A16 99A14 $b^{82}$
$D_{99}$ 99A19 $99$ $2$ $C_{99}$ 99A38 33A14 99A4 $b^{19}$
$D_{99}$ 99A20 $99$ $2$ $C_{99}$ 99A40 33A13 99A1 $b^{20}$
$D_{99}$ 99A23 $99$ $2$ $C_{99}$ 99A46 33A10 99A16 $b^{23}$
$D_{99}$ 99A25 $99$ $2$ $C_{99}$ 99A49 33A8 99A26 $b^{74}$
$D_{99}$ 99A26 $99$ $2$ $C_{99}$ 99A47 33A7 99A31 $b^{73}$
$D_{99}$ 99A28 $99$ $2$ $C_{99}$ 99A43 33A5 99A41 $b^{28}$
$D_{99}$ 99A29 $99$ $2$ $C_{99}$ 99A41 33A4 99A46 $b^{29}$
$D_{99}$ 99A31 $99$ $2$ $C_{99}$ 99A37 33A2 99A43 $b^{31}$
$D_{99}$ 99A32 $99$ $2$ $C_{99}$ 99A35 33A1 99A38 $b^{32}$
$D_{99}$ 99A34 $99$ $2$ $C_{99}$ 99A31 33A1 99A28 $b^{65}$
$D_{99}$ 99A35 $99$ $2$ $C_{99}$ 99A29 33A2 99A23 $b^{64}$
$D_{99}$ 99A37 $99$ $2$ $C_{99}$ 99A25 33A4 99A13 $b^{37}$
$D_{99}$ 99A38 $99$ $2$ $C_{99}$ 99A23 33A5 99A8 $b^{38}$
$D_{99}$ 99A40 $99$ $2$ $C_{99}$ 99A19 33A7 99A2 $b^{40}$
$D_{99}$ 99A41 $99$ $2$ $C_{99}$ 99A17 33A8 99A7 $b^{41}$
$D_{99}$ 99A43 $99$ $2$ $C_{99}$ 99A13 33A10 99A17 $b^{56}$
$D_{99}$ 99A46 $99$ $2$ $C_{99}$ 99A7 33A13 99A32 $b^{46}$
$D_{99}$ 99A47 $99$ $2$ $C_{99}$ 99A5 33A14 99A37 $b^{47}$
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