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Elements of the group are displayed as words in the presentation $\langle a \mid a^{238}=1 \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 7P 17P
$C_{238}$ 1A $1$ $1$ $C_{238}$ 1A 1A 1A $1$
$C_{238}$ 2A $2$ $1$ $C_{238}$ 1A 2A 2A $a^{119}$
$C_{238}$ 7A1 $7$ $1$ $C_{238}$ 7A2 7A3 1A $a^{34}$
$C_{238}$ 7A-1 $7$ $1$ $C_{238}$ 7A-2 7A-3 1A $a^{204}$
$C_{238}$ 7A2 $7$ $1$ $C_{238}$ 7A-3 7A-1 1A $a^{68}$
$C_{238}$ 7A-2 $7$ $1$ $C_{238}$ 7A3 7A1 1A $a^{170}$
$C_{238}$ 7A3 $7$ $1$ $C_{238}$ 7A-1 7A2 1A $a^{102}$
$C_{238}$ 7A-3 $7$ $1$ $C_{238}$ 7A1 7A-2 1A $a^{136}$
$C_{238}$ 14A1 $14$ $1$ $C_{238}$ 7A1 14A3 2A $a^{17}$
$C_{238}$ 14A-1 $14$ $1$ $C_{238}$ 7A-1 14A-3 2A $a^{221}$
$C_{238}$ 14A3 $14$ $1$ $C_{238}$ 7A3 14A-5 2A $a^{51}$
$C_{238}$ 14A-3 $14$ $1$ $C_{238}$ 7A-3 14A5 2A $a^{187}$
$C_{238}$ 14A5 $14$ $1$ $C_{238}$ 7A-2 14A1 2A $a^{85}$
$C_{238}$ 14A-5 $14$ $1$ $C_{238}$ 7A2 14A-1 2A $a^{153}$
$C_{238}$ 17A1 $17$ $1$ $C_{238}$ 17A2 17A3 17A7 $a^{14}$
$C_{238}$ 17A-1 $17$ $1$ $C_{238}$ 17A-2 17A-3 17A-7 $a^{224}$
$C_{238}$ 17A2 $17$ $1$ $C_{238}$ 17A4 17A6 17A-3 $a^{28}$
$C_{238}$ 17A-2 $17$ $1$ $C_{238}$ 17A-4 17A-6 17A3 $a^{210}$
$C_{238}$ 17A3 $17$ $1$ $C_{238}$ 17A6 17A-8 17A4 $a^{42}$
$C_{238}$ 17A-3 $17$ $1$ $C_{238}$ 17A-6 17A8 17A-4 $a^{196}$
$C_{238}$ 17A4 $17$ $1$ $C_{238}$ 17A8 17A-5 17A-6 $a^{56}$
$C_{238}$ 17A-4 $17$ $1$ $C_{238}$ 17A-8 17A5 17A6 $a^{182}$
$C_{238}$ 17A5 $17$ $1$ $C_{238}$ 17A-7 17A-2 17A1 $a^{70}$
$C_{238}$ 17A-5 $17$ $1$ $C_{238}$ 17A7 17A2 17A-1 $a^{168}$
$C_{238}$ 17A6 $17$ $1$ $C_{238}$ 17A-5 17A1 17A8 $a^{84}$
$C_{238}$ 17A-6 $17$ $1$ $C_{238}$ 17A5 17A-1 17A-8 $a^{154}$
$C_{238}$ 17A7 $17$ $1$ $C_{238}$ 17A-3 17A4 17A-2 $a^{98}$
$C_{238}$ 17A-7 $17$ $1$ $C_{238}$ 17A3 17A-4 17A2 $a^{140}$
$C_{238}$ 17A8 $17$ $1$ $C_{238}$ 17A-1 17A7 17A5 $a^{112}$
$C_{238}$ 17A-8 $17$ $1$ $C_{238}$ 17A1 17A-7 17A-5 $a^{126}$
$C_{238}$ 34A1 $34$ $1$ $C_{238}$ 17A1 34A3 34A7 $a^{7}$
$C_{238}$ 34A-1 $34$ $1$ $C_{238}$ 17A-1 34A-3 34A-7 $a^{231}$
$C_{238}$ 34A3 $34$ $1$ $C_{238}$ 17A3 34A9 34A-13 $a^{21}$
$C_{238}$ 34A-3 $34$ $1$ $C_{238}$ 17A-3 34A-9 34A13 $a^{217}$
$C_{238}$ 34A5 $34$ $1$ $C_{238}$ 17A5 34A15 34A1 $a^{35}$
$C_{238}$ 34A-5 $34$ $1$ $C_{238}$ 17A-5 34A-15 34A-1 $a^{203}$
$C_{238}$ 34A7 $34$ $1$ $C_{238}$ 17A7 34A-13 34A15 $a^{49}$
$C_{238}$ 34A-7 $34$ $1$ $C_{238}$ 17A-7 34A13 34A-15 $a^{189}$
$C_{238}$ 34A9 $34$ $1$ $C_{238}$ 17A-8 34A-7 34A-5 $a^{63}$
$C_{238}$ 34A-9 $34$ $1$ $C_{238}$ 17A8 34A7 34A5 $a^{175}$
$C_{238}$ 34A11 $34$ $1$ $C_{238}$ 17A-6 34A-1 34A9 $a^{77}$
$C_{238}$ 34A-11 $34$ $1$ $C_{238}$ 17A6 34A1 34A-9 $a^{161}$
$C_{238}$ 34A13 $34$ $1$ $C_{238}$ 17A-4 34A5 34A-11 $a^{91}$
$C_{238}$ 34A-13 $34$ $1$ $C_{238}$ 17A4 34A-5 34A11 $a^{147}$
$C_{238}$ 34A15 $34$ $1$ $C_{238}$ 17A-2 34A11 34A3 $a^{105}$
$C_{238}$ 34A-15 $34$ $1$ $C_{238}$ 17A2 34A-11 34A-3 $a^{133}$
$C_{238}$ 119A1 $119$ $1$ $C_{238}$ 119A2 119A3 17A1 $a^{2}$
$C_{238}$ 119A-1 $119$ $1$ $C_{238}$ 119A-2 119A-3 17A-1 $a^{236}$
$C_{238}$ 119A2 $119$ $1$ $C_{238}$ 119A4 119A6 17A2 $a^{4}$
$C_{238}$ 119A-2 $119$ $1$ $C_{238}$ 119A-4 119A-6 17A-2 $a^{234}$
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