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Elements of the group are displayed as words in the presentation of the abelian group $\langle a, b, c, d \mid a^{2}=b^{2}=c^{2}=d^{158}=1 \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 79P
$C_2^3\times C_{158}$ 1A $1$ $1$ $C_2^3\times C_{158}$ 1A 1A $1$
$C_2^3\times C_{158}$ 2A $2$ $1$ $C_2^3\times C_{158}$ 1A 2A $d^{79}$
$C_2^3\times C_{158}$ 2B $2$ $1$ $C_2^3\times C_{158}$ 1A 2B $c$
$C_2^3\times C_{158}$ 2C $2$ $1$ $C_2^3\times C_{158}$ 1A 2C $cd^{79}$
$C_2^3\times C_{158}$ 2D $2$ $1$ $C_2^3\times C_{158}$ 1A 2D $b$
$C_2^3\times C_{158}$ 2E $2$ $1$ $C_2^3\times C_{158}$ 1A 2E $bd^{79}$
$C_2^3\times C_{158}$ 2F $2$ $1$ $C_2^3\times C_{158}$ 1A 2F $a$
$C_2^3\times C_{158}$ 2G $2$ $1$ $C_2^3\times C_{158}$ 1A 2G $ad^{79}$
$C_2^3\times C_{158}$ 2H $2$ $1$ $C_2^3\times C_{158}$ 1A 2H $bc$
$C_2^3\times C_{158}$ 2I $2$ $1$ $C_2^3\times C_{158}$ 1A 2I $bcd^{79}$
$C_2^3\times C_{158}$ 2J $2$ $1$ $C_2^3\times C_{158}$ 1A 2J $ac$
$C_2^3\times C_{158}$ 2K $2$ $1$ $C_2^3\times C_{158}$ 1A 2K $acd^{79}$
$C_2^3\times C_{158}$ 2L $2$ $1$ $C_2^3\times C_{158}$ 1A 2L $ab$
$C_2^3\times C_{158}$ 2M $2$ $1$ $C_2^3\times C_{158}$ 1A 2M $abd^{79}$
$C_2^3\times C_{158}$ 2N $2$ $1$ $C_2^3\times C_{158}$ 1A 2N $abc$
$C_2^3\times C_{158}$ 2O $2$ $1$ $C_2^3\times C_{158}$ 1A 2O $abcd^{79}$
$C_2^3\times C_{158}$ 79A1 $79$ $1$ $C_2^3\times C_{158}$ 79A2 79A3 $d^{2}$
$C_2^3\times C_{158}$ 79A-1 $79$ $1$ $C_2^3\times C_{158}$ 79A-2 79A-3 $d^{156}$
$C_2^3\times C_{158}$ 79A2 $79$ $1$ $C_2^3\times C_{158}$ 79A4 79A6 $d^{4}$
$C_2^3\times C_{158}$ 79A-2 $79$ $1$ $C_2^3\times C_{158}$ 79A-4 79A-6 $d^{154}$
$C_2^3\times C_{158}$ 79A3 $79$ $1$ $C_2^3\times C_{158}$ 79A6 79A9 $d^{6}$
$C_2^3\times C_{158}$ 79A-3 $79$ $1$ $C_2^3\times C_{158}$ 79A-6 79A-9 $d^{152}$
$C_2^3\times C_{158}$ 79A4 $79$ $1$ $C_2^3\times C_{158}$ 79A8 79A12 $d^{8}$
$C_2^3\times C_{158}$ 79A-4 $79$ $1$ $C_2^3\times C_{158}$ 79A-8 79A-12 $d^{150}$
$C_2^3\times C_{158}$ 79A5 $79$ $1$ $C_2^3\times C_{158}$ 79A10 79A15 $d^{10}$
$C_2^3\times C_{158}$ 79A-5 $79$ $1$ $C_2^3\times C_{158}$ 79A-10 79A-15 $d^{148}$
$C_2^3\times C_{158}$ 79A6 $79$ $1$ $C_2^3\times C_{158}$ 79A12 79A18 $d^{12}$
$C_2^3\times C_{158}$ 79A-6 $79$ $1$ $C_2^3\times C_{158}$ 79A-12 79A-18 $d^{146}$
$C_2^3\times C_{158}$ 79A7 $79$ $1$ $C_2^3\times C_{158}$ 79A14 79A21 $d^{14}$
$C_2^3\times C_{158}$ 79A-7 $79$ $1$ $C_2^3\times C_{158}$ 79A-14 79A-21 $d^{144}$
$C_2^3\times C_{158}$ 79A8 $79$ $1$ $C_2^3\times C_{158}$ 79A16 79A24 $d^{16}$
$C_2^3\times C_{158}$ 79A-8 $79$ $1$ $C_2^3\times C_{158}$ 79A-16 79A-24 $d^{142}$
$C_2^3\times C_{158}$ 79A9 $79$ $1$ $C_2^3\times C_{158}$ 79A18 79A27 $d^{18}$
$C_2^3\times C_{158}$ 79A-9 $79$ $1$ $C_2^3\times C_{158}$ 79A-18 79A-27 $d^{140}$
$C_2^3\times C_{158}$ 79A10 $79$ $1$ $C_2^3\times C_{158}$ 79A20 79A30 $d^{20}$
$C_2^3\times C_{158}$ 79A-10 $79$ $1$ $C_2^3\times C_{158}$ 79A-20 79A-30 $d^{138}$
$C_2^3\times C_{158}$ 79A11 $79$ $1$ $C_2^3\times C_{158}$ 79A22 79A33 $d^{22}$
$C_2^3\times C_{158}$ 79A-11 $79$ $1$ $C_2^3\times C_{158}$ 79A-22 79A-33 $d^{136}$
$C_2^3\times C_{158}$ 79A12 $79$ $1$ $C_2^3\times C_{158}$ 79A24 79A36 $d^{24}$
$C_2^3\times C_{158}$ 79A-12 $79$ $1$ $C_2^3\times C_{158}$ 79A-24 79A-36 $d^{134}$
$C_2^3\times C_{158}$ 79A13 $79$ $1$ $C_2^3\times C_{158}$ 79A26 79A39 $d^{26}$
$C_2^3\times C_{158}$ 79A-13 $79$ $1$ $C_2^3\times C_{158}$ 79A-26 79A-39 $d^{132}$
$C_2^3\times C_{158}$ 79A14 $79$ $1$ $C_2^3\times C_{158}$ 79A28 79A-37 $d^{28}$
$C_2^3\times C_{158}$ 79A-14 $79$ $1$ $C_2^3\times C_{158}$ 79A-28 79A37 $d^{130}$
$C_2^3\times C_{158}$ 79A15 $79$ $1$ $C_2^3\times C_{158}$ 79A30 79A-34 $d^{30}$
$C_2^3\times C_{158}$ 79A-15 $79$ $1$ $C_2^3\times C_{158}$ 79A-30 79A34 $d^{128}$
$C_2^3\times C_{158}$ 79A16 $79$ $1$ $C_2^3\times C_{158}$ 79A32 79A-31 $d^{32}$
$C_2^3\times C_{158}$ 79A-16 $79$ $1$ $C_2^3\times C_{158}$ 79A-32 79A31 $d^{126}$
$C_2^3\times C_{158}$ 79A17 $79$ $1$ $C_2^3\times C_{158}$ 79A34 79A-28 $d^{34}$
$C_2^3\times C_{158}$ 79A-17 $79$ $1$ $C_2^3\times C_{158}$ 79A-34 79A28 $d^{124}$
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