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Elements of the group are displayed as words in the presentation $\langle a, b, c \mid a^{4}=b^{2}=c^{92}=[a,b]=[b,c]=1, c^{a}=bc^{45} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 23P
$C_{46}.C_4^2$ 1A $1$ $1$ $C_{46}.C_4^2$ 1A 1A $1$
$C_{46}.C_4^2$ 2A $2$ $1$ $C_{46}.C_4^2$ 1A 2A $b$
$C_{46}.C_4^2$ 2B $2$ $1$ $C_{46}.C_4^2$ 1A 2B $bc^{46}$
$C_{46}.C_4^2$ 2C $2$ $1$ $C_{46}.C_4^2$ 1A 2C $a^{2}$
$C_{46}.C_4^2$ 2D $2$ $1$ $C_{46}.C_4^2$ 1A 2D $a^{2}c^{46}$
$C_{46}.C_4^2$ 2E $2$ $1$ $C_{46}.C_4^2$ 1A 2E $a^{2}b$
$C_{46}.C_4^2$ 2F $2$ $1$ $C_{46}.C_4^2$ 1A 2F $a^{2}bc^{46}$
$C_{46}.C_4^2$ 2G $2$ $1$ $C_{46}.C_4^2$ 1A 2G $c^{46}$
$C_{46}.C_4^2$ 4A1 $4$ $2$ $C_2^2\times C_{92}$ 2G 4A-1 $c^{23}$
$C_{46}.C_4^2$ 4A-1 $4$ $2$ $C_2^2\times C_{92}$ 2G 4A1 $c^{69}$
$C_{46}.C_4^2$ 4B1 $4$ $2$ $C_2^2\times C_{92}$ 2G 4B-1 $a^{2}c^{23}$
$C_{46}.C_4^2$ 4B-1 $4$ $2$ $C_2^2\times C_{92}$ 2G 4B1 $a^{2}c^{69}$
$C_{46}.C_4^2$ 4C1 $4$ $46$ $C_2^2\times C_4$ 2C 4C-1 $ac^{84}$
$C_{46}.C_4^2$ 4C-1 $4$ $46$ $C_2^2\times C_4$ 2C 4C1 $a^{3}c^{84}$
$C_{46}.C_4^2$ 4D1 $4$ $46$ $C_2^2\times C_4$ 2F 4D-1 $a^{3}bc^{47}$
$C_{46}.C_4^2$ 4D-1 $4$ $46$ $C_2^2\times C_4$ 2F 4D1 $ac$
$C_{46}.C_4^2$ 4E1 $4$ $46$ $C_2^2\times C_4$ 2F 4E-1 $ac^{47}$
$C_{46}.C_4^2$ 4E-1 $4$ $46$ $C_2^2\times C_4$ 2F 4E1 $a^{3}bc$
$C_{46}.C_4^2$ 4F1 $4$ $46$ $C_2^2\times C_4$ 2C 4F-1 $ac^{26}$
$C_{46}.C_4^2$ 4F-1 $4$ $46$ $C_2^2\times C_4$ 2C 4F1 $a^{3}c^{26}$
$C_{46}.C_4^2$ 23A1 $23$ $2$ $C_2^2\times C_{92}$ 23A2 23A11 $c^{8}$
$C_{46}.C_4^2$ 23A2 $23$ $2$ $C_2^2\times C_{92}$ 23A4 23A1 $c^{16}$
$C_{46}.C_4^2$ 23A3 $23$ $2$ $C_2^2\times C_{92}$ 23A6 23A10 $c^{24}$
$C_{46}.C_4^2$ 23A4 $23$ $2$ $C_2^2\times C_{92}$ 23A8 23A2 $c^{32}$
$C_{46}.C_4^2$ 23A5 $23$ $2$ $C_2^2\times C_{92}$ 23A10 23A9 $c^{40}$
$C_{46}.C_4^2$ 23A6 $23$ $2$ $C_2^2\times C_{92}$ 23A11 23A3 $c^{48}$
$C_{46}.C_4^2$ 23A7 $23$ $2$ $C_2^2\times C_{92}$ 23A9 23A8 $c^{56}$
$C_{46}.C_4^2$ 23A8 $23$ $2$ $C_2^2\times C_{92}$ 23A7 23A4 $c^{64}$
$C_{46}.C_4^2$ 23A9 $23$ $2$ $C_2^2\times C_{92}$ 23A5 23A7 $c^{72}$
$C_{46}.C_4^2$ 23A10 $23$ $2$ $C_2^2\times C_{92}$ 23A3 23A5 $c^{80}$
$C_{46}.C_4^2$ 23A11 $23$ $2$ $C_2^2\times C_{92}$ 23A1 23A6 $c^{88}$
$C_{46}.C_4^2$ 46A1 $46$ $2$ $C_2^2\times C_{92}$ 23A1 46A11 $bc^{4}$
$C_{46}.C_4^2$ 46A3 $46$ $2$ $C_2^2\times C_{92}$ 23A3 46A13 $bc^{12}$
$C_{46}.C_4^2$ 46A5 $46$ $2$ $C_2^2\times C_{92}$ 23A5 46A9 $bc^{20}$
$C_{46}.C_4^2$ 46A7 $46$ $2$ $C_2^2\times C_{92}$ 23A7 46A15 $bc^{28}$
$C_{46}.C_4^2$ 46A9 $46$ $2$ $C_2^2\times C_{92}$ 23A9 46A7 $bc^{36}$
$C_{46}.C_4^2$ 46A11 $46$ $2$ $C_2^2\times C_{92}$ 23A11 46A17 $bc^{44}$
$C_{46}.C_4^2$ 46A13 $46$ $2$ $C_2^2\times C_{92}$ 23A10 46A5 $bc^{40}$
$C_{46}.C_4^2$ 46A15 $46$ $2$ $C_2^2\times C_{92}$ 23A8 46A19 $bc^{32}$
$C_{46}.C_4^2$ 46A17 $46$ $2$ $C_2^2\times C_{92}$ 23A6 46A3 $bc^{24}$
$C_{46}.C_4^2$ 46A19 $46$ $2$ $C_2^2\times C_{92}$ 23A4 46A21 $bc^{16}$
$C_{46}.C_4^2$ 46A21 $46$ $2$ $C_2^2\times C_{92}$ 23A2 46A1 $bc^{8}$
$C_{46}.C_4^2$ 46B1 $46$ $2$ $C_2^2\times C_{92}$ 23A11 46B11 $bc^{2}$
$C_{46}.C_4^2$ 46B3 $46$ $2$ $C_2^2\times C_{92}$ 23A10 46B13 $bc^{6}$
$C_{46}.C_4^2$ 46B5 $46$ $2$ $C_2^2\times C_{92}$ 23A9 46B9 $bc^{10}$
$C_{46}.C_4^2$ 46B7 $46$ $2$ $C_2^2\times C_{92}$ 23A8 46B15 $bc^{14}$
$C_{46}.C_4^2$ 46B9 $46$ $2$ $C_2^2\times C_{92}$ 23A7 46B7 $bc^{18}$
$C_{46}.C_4^2$ 46B11 $46$ $2$ $C_2^2\times C_{92}$ 23A6 46B17 $bc^{22}$
$C_{46}.C_4^2$ 46B13 $46$ $2$ $C_2^2\times C_{92}$ 23A5 46B5 $bc^{26}$
$C_{46}.C_4^2$ 46B15 $46$ $2$ $C_2^2\times C_{92}$ 23A4 46B19 $bc^{30}$
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