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Elements of the group are displayed as words in the presentation $\langle a \mid a^{215}=1 \rangle$ .

Group Label Order Size Centralizer Powers Representative
5P 43P
$C_{215}$ 1A $1$ $1$ $C_{215}$ 1A 1A $1$
$C_{215}$ 5A1 $5$ $1$ $C_{215}$ 5A2 5A-2 $a^{43}$
$C_{215}$ 5A-1 $5$ $1$ $C_{215}$ 5A-2 5A2 $a^{172}$
$C_{215}$ 5A2 $5$ $1$ $C_{215}$ 5A-1 5A1 $a^{86}$
$C_{215}$ 5A-2 $5$ $1$ $C_{215}$ 5A1 5A-1 $a^{129}$
$C_{215}$ 43A1 $43$ $1$ $C_{215}$ 43A2 43A3 $a^{5}$
$C_{215}$ 43A-1 $43$ $1$ $C_{215}$ 43A-2 43A-3 $a^{210}$
$C_{215}$ 43A2 $43$ $1$ $C_{215}$ 43A4 43A6 $a^{10}$
$C_{215}$ 43A-2 $43$ $1$ $C_{215}$ 43A-4 43A-6 $a^{205}$
$C_{215}$ 43A3 $43$ $1$ $C_{215}$ 43A6 43A9 $a^{15}$
$C_{215}$ 43A-3 $43$ $1$ $C_{215}$ 43A-6 43A-9 $a^{200}$
$C_{215}$ 43A4 $43$ $1$ $C_{215}$ 43A8 43A12 $a^{20}$
$C_{215}$ 43A-4 $43$ $1$ $C_{215}$ 43A-8 43A-12 $a^{195}$
$C_{215}$ 43A5 $43$ $1$ $C_{215}$ 43A10 43A15 $a^{25}$
$C_{215}$ 43A-5 $43$ $1$ $C_{215}$ 43A-10 43A-15 $a^{190}$
$C_{215}$ 43A6 $43$ $1$ $C_{215}$ 43A12 43A18 $a^{30}$
$C_{215}$ 43A-6 $43$ $1$ $C_{215}$ 43A-12 43A-18 $a^{185}$
$C_{215}$ 43A7 $43$ $1$ $C_{215}$ 43A14 43A21 $a^{35}$
$C_{215}$ 43A-7 $43$ $1$ $C_{215}$ 43A-14 43A-21 $a^{180}$
$C_{215}$ 43A8 $43$ $1$ $C_{215}$ 43A16 43A-19 $a^{40}$
$C_{215}$ 43A-8 $43$ $1$ $C_{215}$ 43A-16 43A19 $a^{175}$
$C_{215}$ 43A9 $43$ $1$ $C_{215}$ 43A18 43A-16 $a^{45}$
$C_{215}$ 43A-9 $43$ $1$ $C_{215}$ 43A-18 43A16 $a^{170}$
$C_{215}$ 43A10 $43$ $1$ $C_{215}$ 43A20 43A-13 $a^{50}$
$C_{215}$ 43A-10 $43$ $1$ $C_{215}$ 43A-20 43A13 $a^{165}$
$C_{215}$ 43A11 $43$ $1$ $C_{215}$ 43A-21 43A-10 $a^{55}$
$C_{215}$ 43A-11 $43$ $1$ $C_{215}$ 43A21 43A10 $a^{160}$
$C_{215}$ 43A12 $43$ $1$ $C_{215}$ 43A-19 43A-7 $a^{60}$
$C_{215}$ 43A-12 $43$ $1$ $C_{215}$ 43A19 43A7 $a^{155}$
$C_{215}$ 43A13 $43$ $1$ $C_{215}$ 43A-17 43A-4 $a^{65}$
$C_{215}$ 43A-13 $43$ $1$ $C_{215}$ 43A17 43A4 $a^{150}$
$C_{215}$ 43A14 $43$ $1$ $C_{215}$ 43A-15 43A-1 $a^{70}$
$C_{215}$ 43A-14 $43$ $1$ $C_{215}$ 43A15 43A1 $a^{145}$
$C_{215}$ 43A15 $43$ $1$ $C_{215}$ 43A-13 43A2 $a^{75}$
$C_{215}$ 43A-15 $43$ $1$ $C_{215}$ 43A13 43A-2 $a^{140}$
$C_{215}$ 43A16 $43$ $1$ $C_{215}$ 43A-11 43A5 $a^{80}$
$C_{215}$ 43A-16 $43$ $1$ $C_{215}$ 43A11 43A-5 $a^{135}$
$C_{215}$ 43A17 $43$ $1$ $C_{215}$ 43A-9 43A8 $a^{85}$
$C_{215}$ 43A-17 $43$ $1$ $C_{215}$ 43A9 43A-8 $a^{130}$
$C_{215}$ 43A18 $43$ $1$ $C_{215}$ 43A-7 43A11 $a^{90}$
$C_{215}$ 43A-18 $43$ $1$ $C_{215}$ 43A7 43A-11 $a^{125}$
$C_{215}$ 43A19 $43$ $1$ $C_{215}$ 43A-5 43A14 $a^{95}$
$C_{215}$ 43A-19 $43$ $1$ $C_{215}$ 43A5 43A-14 $a^{120}$
$C_{215}$ 43A20 $43$ $1$ $C_{215}$ 43A-3 43A17 $a^{100}$
$C_{215}$ 43A-20 $43$ $1$ $C_{215}$ 43A3 43A-17 $a^{115}$
$C_{215}$ 43A21 $43$ $1$ $C_{215}$ 43A-1 43A20 $a^{105}$
$C_{215}$ 43A-21 $43$ $1$ $C_{215}$ 43A1 43A-20 $a^{110}$
$C_{215}$ 215A1 $215$ $1$ $C_{215}$ 215A2 215A3 $a$
$C_{215}$ 215A-1 $215$ $1$ $C_{215}$ 215A-2 215A-3 $a^{214}$
$C_{215}$ 215A2 $215$ $1$ $C_{215}$ 215A4 215A6 $a^{2}$
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