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Elements of the group are displayed as words in the presentation $\langle a \mid a^{233}=1 \rangle$ .

Group Label Order Size Centralizer Powers Representative
233P
$C_{233}$ 1A $1$ $1$ $C_{233}$ 1A $1$
$C_{233}$ 233A1 $233$ $1$ $C_{233}$ 233A2 $a$
$C_{233}$ 233A-1 $233$ $1$ $C_{233}$ 233A-2 $a^{232}$
$C_{233}$ 233A2 $233$ $1$ $C_{233}$ 233A4 $a^{2}$
$C_{233}$ 233A-2 $233$ $1$ $C_{233}$ 233A-4 $a^{231}$
$C_{233}$ 233A3 $233$ $1$ $C_{233}$ 233A6 $a^{3}$
$C_{233}$ 233A-3 $233$ $1$ $C_{233}$ 233A-6 $a^{230}$
$C_{233}$ 233A4 $233$ $1$ $C_{233}$ 233A8 $a^{4}$
$C_{233}$ 233A-4 $233$ $1$ $C_{233}$ 233A-8 $a^{229}$
$C_{233}$ 233A5 $233$ $1$ $C_{233}$ 233A10 $a^{5}$
$C_{233}$ 233A-5 $233$ $1$ $C_{233}$ 233A-10 $a^{228}$
$C_{233}$ 233A6 $233$ $1$ $C_{233}$ 233A12 $a^{6}$
$C_{233}$ 233A-6 $233$ $1$ $C_{233}$ 233A-12 $a^{227}$
$C_{233}$ 233A7 $233$ $1$ $C_{233}$ 233A14 $a^{7}$
$C_{233}$ 233A-7 $233$ $1$ $C_{233}$ 233A-14 $a^{226}$
$C_{233}$ 233A8 $233$ $1$ $C_{233}$ 233A16 $a^{8}$
$C_{233}$ 233A-8 $233$ $1$ $C_{233}$ 233A-16 $a^{225}$
$C_{233}$ 233A9 $233$ $1$ $C_{233}$ 233A18 $a^{9}$
$C_{233}$ 233A-9 $233$ $1$ $C_{233}$ 233A-18 $a^{224}$
$C_{233}$ 233A10 $233$ $1$ $C_{233}$ 233A20 $a^{10}$
$C_{233}$ 233A-10 $233$ $1$ $C_{233}$ 233A-20 $a^{223}$
$C_{233}$ 233A11 $233$ $1$ $C_{233}$ 233A22 $a^{11}$
$C_{233}$ 233A-11 $233$ $1$ $C_{233}$ 233A-22 $a^{222}$
$C_{233}$ 233A12 $233$ $1$ $C_{233}$ 233A24 $a^{12}$
$C_{233}$ 233A-12 $233$ $1$ $C_{233}$ 233A-24 $a^{221}$
$C_{233}$ 233A13 $233$ $1$ $C_{233}$ 233A26 $a^{13}$
$C_{233}$ 233A-13 $233$ $1$ $C_{233}$ 233A-26 $a^{220}$
$C_{233}$ 233A14 $233$ $1$ $C_{233}$ 233A28 $a^{14}$
$C_{233}$ 233A-14 $233$ $1$ $C_{233}$ 233A-28 $a^{219}$
$C_{233}$ 233A15 $233$ $1$ $C_{233}$ 233A30 $a^{15}$
$C_{233}$ 233A-15 $233$ $1$ $C_{233}$ 233A-30 $a^{218}$
$C_{233}$ 233A16 $233$ $1$ $C_{233}$ 233A32 $a^{16}$
$C_{233}$ 233A-16 $233$ $1$ $C_{233}$ 233A-32 $a^{217}$
$C_{233}$ 233A17 $233$ $1$ $C_{233}$ 233A34 $a^{17}$
$C_{233}$ 233A-17 $233$ $1$ $C_{233}$ 233A-34 $a^{216}$
$C_{233}$ 233A18 $233$ $1$ $C_{233}$ 233A36 $a^{18}$
$C_{233}$ 233A-18 $233$ $1$ $C_{233}$ 233A-36 $a^{215}$
$C_{233}$ 233A19 $233$ $1$ $C_{233}$ 233A38 $a^{19}$
$C_{233}$ 233A-19 $233$ $1$ $C_{233}$ 233A-38 $a^{214}$
$C_{233}$ 233A20 $233$ $1$ $C_{233}$ 233A40 $a^{20}$
$C_{233}$ 233A-20 $233$ $1$ $C_{233}$ 233A-40 $a^{213}$
$C_{233}$ 233A21 $233$ $1$ $C_{233}$ 233A42 $a^{21}$
$C_{233}$ 233A-21 $233$ $1$ $C_{233}$ 233A-42 $a^{212}$
$C_{233}$ 233A22 $233$ $1$ $C_{233}$ 233A44 $a^{22}$
$C_{233}$ 233A-22 $233$ $1$ $C_{233}$ 233A-44 $a^{211}$
$C_{233}$ 233A23 $233$ $1$ $C_{233}$ 233A46 $a^{23}$
$C_{233}$ 233A-23 $233$ $1$ $C_{233}$ 233A-46 $a^{210}$
$C_{233}$ 233A24 $233$ $1$ $C_{233}$ 233A48 $a^{24}$
$C_{233}$ 233A-24 $233$ $1$ $C_{233}$ 233A-48 $a^{209}$
$C_{233}$ 233A25 $233$ $1$ $C_{233}$ 233A50 $a^{25}$
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