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Elements of the group are displayed as words in the presentation $\langle a, b, c \mid b^{8}=c^{43}=[a,c]=1, a^{2}=b^{4}, b^{a}=b^{7}, c^{b}=c^{42} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 43P
$C_{43}:Q_{16}$ 1A $1$ $1$ $C_{43}:Q_{16}$ 1A 1A $1$
$C_{43}:Q_{16}$ 2A $2$ $1$ $C_{43}:Q_{16}$ 1A 2A $b^{4}$
$C_{43}:Q_{16}$ 4A $4$ $2$ $C_{43}:C_8$ 2A 4A $b^{6}$
$C_{43}:Q_{16}$ 4B $4$ $4$ $C_{172}$ 2A 4B $ab^{4}$
$C_{43}:Q_{16}$ 4C $4$ $172$ $C_4$ 2A 4C $ab^{5}c^{37}$
$C_{43}:Q_{16}$ 8A1 $8$ $86$ $C_8$ 4A 8A3 $b^{7}c$
$C_{43}:Q_{16}$ 8A3 $8$ $86$ $C_8$ 4A 8A1 $b^{5}c$
$C_{43}:Q_{16}$ 43A1 $43$ $2$ $Q_8\times C_{43}$ 43A2 43A3 $c^{4}$
$C_{43}:Q_{16}$ 43A2 $43$ $2$ $Q_8\times C_{43}$ 43A4 43A6 $c^{8}$
$C_{43}:Q_{16}$ 43A3 $43$ $2$ $Q_8\times C_{43}$ 43A6 43A9 $c^{12}$
$C_{43}:Q_{16}$ 43A4 $43$ $2$ $Q_8\times C_{43}$ 43A8 43A12 $c^{16}$
$C_{43}:Q_{16}$ 43A5 $43$ $2$ $Q_8\times C_{43}$ 43A10 43A15 $c^{20}$
$C_{43}:Q_{16}$ 43A6 $43$ $2$ $Q_8\times C_{43}$ 43A12 43A18 $c^{24}$
$C_{43}:Q_{16}$ 43A7 $43$ $2$ $Q_8\times C_{43}$ 43A14 43A21 $c^{28}$
$C_{43}:Q_{16}$ 43A8 $43$ $2$ $Q_8\times C_{43}$ 43A16 43A19 $c^{32}$
$C_{43}:Q_{16}$ 43A9 $43$ $2$ $Q_8\times C_{43}$ 43A18 43A16 $c^{36}$
$C_{43}:Q_{16}$ 43A10 $43$ $2$ $Q_8\times C_{43}$ 43A20 43A13 $c^{40}$
$C_{43}:Q_{16}$ 43A11 $43$ $2$ $Q_8\times C_{43}$ 43A21 43A10 $c$
$C_{43}:Q_{16}$ 43A12 $43$ $2$ $Q_8\times C_{43}$ 43A19 43A7 $c^{5}$
$C_{43}:Q_{16}$ 43A13 $43$ $2$ $Q_8\times C_{43}$ 43A17 43A4 $c^{9}$
$C_{43}:Q_{16}$ 43A14 $43$ $2$ $Q_8\times C_{43}$ 43A15 43A1 $c^{13}$
$C_{43}:Q_{16}$ 43A15 $43$ $2$ $Q_8\times C_{43}$ 43A13 43A2 $c^{17}$
$C_{43}:Q_{16}$ 43A16 $43$ $2$ $Q_8\times C_{43}$ 43A11 43A5 $c^{21}$
$C_{43}:Q_{16}$ 43A17 $43$ $2$ $Q_8\times C_{43}$ 43A9 43A8 $c^{25}$
$C_{43}:Q_{16}$ 43A18 $43$ $2$ $Q_8\times C_{43}$ 43A7 43A11 $c^{29}$
$C_{43}:Q_{16}$ 43A19 $43$ $2$ $Q_8\times C_{43}$ 43A5 43A14 $c^{33}$
$C_{43}:Q_{16}$ 43A20 $43$ $2$ $Q_8\times C_{43}$ 43A3 43A17 $c^{37}$
$C_{43}:Q_{16}$ 43A21 $43$ $2$ $Q_8\times C_{43}$ 43A1 43A20 $c^{41}$
$C_{43}:Q_{16}$ 86A1 $86$ $2$ $Q_8\times C_{43}$ 43A1 86A3 $b^{4}c^{2}$
$C_{43}:Q_{16}$ 86A3 $86$ $2$ $Q_8\times C_{43}$ 43A3 86A9 $b^{4}c^{6}$
$C_{43}:Q_{16}$ 86A5 $86$ $2$ $Q_8\times C_{43}$ 43A5 86A15 $b^{4}c^{10}$
$C_{43}:Q_{16}$ 86A7 $86$ $2$ $Q_8\times C_{43}$ 43A7 86A21 $b^{4}c^{14}$
$C_{43}:Q_{16}$ 86A9 $86$ $2$ $Q_8\times C_{43}$ 43A9 86A27 $b^{4}c^{18}$
$C_{43}:Q_{16}$ 86A11 $86$ $2$ $Q_8\times C_{43}$ 43A11 86A33 $b^{4}c^{22}$
$C_{43}:Q_{16}$ 86A13 $86$ $2$ $Q_8\times C_{43}$ 43A13 86A39 $b^{4}c^{26}$
$C_{43}:Q_{16}$ 86A15 $86$ $2$ $Q_8\times C_{43}$ 43A15 86A41 $b^{4}c^{30}$
$C_{43}:Q_{16}$ 86A17 $86$ $2$ $Q_8\times C_{43}$ 43A17 86A35 $b^{4}c^{34}$
$C_{43}:Q_{16}$ 86A19 $86$ $2$ $Q_8\times C_{43}$ 43A19 86A29 $b^{4}c^{38}$
$C_{43}:Q_{16}$ 86A21 $86$ $2$ $Q_8\times C_{43}$ 43A21 86A23 $b^{4}c^{42}$
$C_{43}:Q_{16}$ 86A23 $86$ $2$ $Q_8\times C_{43}$ 43A20 86A17 $b^{4}c^{3}$
$C_{43}:Q_{16}$ 86A25 $86$ $2$ $Q_8\times C_{43}$ 43A18 86A11 $b^{4}c^{7}$
$C_{43}:Q_{16}$ 86A27 $86$ $2$ $Q_8\times C_{43}$ 43A16 86A5 $b^{4}c^{11}$
$C_{43}:Q_{16}$ 86A29 $86$ $2$ $Q_8\times C_{43}$ 43A14 86A1 $b^{4}c^{15}$
$C_{43}:Q_{16}$ 86A31 $86$ $2$ $Q_8\times C_{43}$ 43A12 86A7 $b^{4}c^{19}$
$C_{43}:Q_{16}$ 86A33 $86$ $2$ $Q_8\times C_{43}$ 43A10 86A13 $b^{4}c^{23}$
$C_{43}:Q_{16}$ 86A35 $86$ $2$ $Q_8\times C_{43}$ 43A8 86A19 $b^{4}c^{27}$
$C_{43}:Q_{16}$ 86A37 $86$ $2$ $Q_8\times C_{43}$ 43A6 86A25 $b^{4}c^{31}$
$C_{43}:Q_{16}$ 86A39 $86$ $2$ $Q_8\times C_{43}$ 43A4 86A31 $b^{4}c^{35}$
$C_{43}:Q_{16}$ 86A41 $86$ $2$ $Q_8\times C_{43}$ 43A2 86A37 $b^{4}c^{39}$
$C_{43}:Q_{16}$ 172A1 $172$ $4$ $C_{172}$ 86A1 172A3 $b^{2}c$
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