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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{233}=b^{467}=1, b^{a}=b^{177} \rangle$ .

Group Label Order Size Centralizer Powers Representative
233P 467P
$C_{467}:C_{233}$ 1A $1$ $1$ $C_{467}:C_{233}$ 1A 1A $1$
$C_{467}:C_{233}$ 233A1 $233$ $467$ $C_{233}$ 233A2 233A29 $a^{16}b^{336}$
$C_{467}:C_{233}$ 233A-1 $233$ $467$ $C_{233}$ 233A-2 233A-29 $a^{217}b^{312}$
$C_{467}:C_{233}$ 233A2 $233$ $467$ $C_{233}$ 233A4 233A58 $a^{32}b^{46}$
$C_{467}:C_{233}$ 233A-2 $233$ $467$ $C_{233}$ 233A-4 233A-58 $a^{201}b^{89}$
$C_{467}:C_{233}$ 233A3 $233$ $467$ $C_{233}$ 233A6 233A87 $a^{48}b^{35}$
$C_{467}:C_{233}$ 233A-3 $233$ $467$ $C_{233}$ 233A-6 233A-87 $a^{185}b^{196}$
$C_{467}:C_{233}$ 233A4 $233$ $467$ $C_{233}$ 233A8 233A116 $a^{64}b^{442}$
$C_{467}:C_{233}$ 233A-4 $233$ $467$ $C_{233}$ 233A-8 233A-116 $a^{169}b^{130}$
$C_{467}:C_{233}$ 233A5 $233$ $467$ $C_{233}$ 233A10 233A-88 $a^{80}b^{327}$
$C_{467}:C_{233}$ 233A-5 $233$ $467$ $C_{233}$ 233A-10 233A88 $a^{153}b^{258}$
$C_{467}:C_{233}$ 233A6 $233$ $467$ $C_{233}$ 233A12 233A-59 $a^{96}b^{379}$
$C_{467}:C_{233}$ 233A-6 $233$ $467$ $C_{233}$ 233A-12 233A59 $a^{137}b^{406}$
$C_{467}:C_{233}$ 233A7 $233$ $467$ $C_{233}$ 233A14 233A-30 $a^{112}b^{323}$
$C_{467}:C_{233}$ 233A-7 $233$ $467$ $C_{233}$ 233A-14 233A30 $a^{121}b^{402}$
$C_{467}:C_{233}$ 233A8 $233$ $467$ $C_{233}$ 233A16 233A-1 $a^{128}b^{60}$
$C_{467}:C_{233}$ 233A-8 $233$ $467$ $C_{233}$ 233A-16 233A1 $a^{105}b^{339}$
$C_{467}:C_{233}$ 233A9 $233$ $467$ $C_{233}$ 233A18 233A28 $a^{144}b^{451}$
$C_{467}:C_{233}$ 233A-9 $233$ $467$ $C_{233}$ 233A-18 233A-28 $a^{89}b^{164}$
$C_{467}:C_{233}$ 233A10 $233$ $467$ $C_{233}$ 233A20 233A57 $a^{160}b^{461}$
$C_{467}:C_{233}$ 233A-10 $233$ $467$ $C_{233}$ 233A-20 233A-57 $a^{73}b^{93}$
$C_{467}:C_{233}$ 233A11 $233$ $467$ $C_{233}$ 233A22 233A86 $a^{176}b^{91}$
$C_{467}:C_{233}$ 233A-11 $233$ $467$ $C_{233}$ 233A-22 233A-86 $a^{57}b^{259}$
$C_{467}:C_{233}$ 233A12 $233$ $467$ $C_{233}$ 233A24 233A115 $a^{192}b^{238}$
$C_{467}:C_{233}$ 233A-12 $233$ $467$ $C_{233}$ 233A-24 233A-115 $a^{41}b^{305}$
$C_{467}:C_{233}$ 233A13 $233$ $467$ $C_{233}$ 233A26 233A-89 $a^{208}b^{403}$
$C_{467}:C_{233}$ 233A-13 $233$ $467$ $C_{233}$ 233A-26 233A89 $a^{25}b^{329}$
$C_{467}:C_{233}$ 233A14 $233$ $467$ $C_{233}$ 233A28 233A-60 $a^{224}b^{369}$
$C_{467}:C_{233}$ 233A-14 $233$ $467$ $C_{233}$ 233A-28 233A60 $a^{9}b^{240}$
$C_{467}:C_{233}$ 233A15 $233$ $467$ $C_{233}$ 233A30 233A-31 $a^{7}b^{226}$
$C_{467}:C_{233}$ 233A-15 $233$ $467$ $C_{233}$ 233A-30 233A31 $a^{226}b^{356}$
$C_{467}:C_{233}$ 233A16 $233$ $467$ $C_{233}$ 233A32 233A-2 $a^{23}b^{380}$
$C_{467}:C_{233}$ 233A-16 $233$ $467$ $C_{233}$ 233A-32 233A2 $a^{210}b^{315}$
$C_{467}:C_{233}$ 233A17 $233$ $467$ $C_{233}$ 233A34 233A27 $a^{39}b^{286}$
$C_{467}:C_{233}$ 233A-17 $233$ $467$ $C_{233}$ 233A-34 233A-27 $a^{194}b^{253}$
$C_{467}:C_{233}$ 233A18 $233$ $467$ $C_{233}$ 233A36 233A56 $a^{55}b^{28}$
$C_{467}:C_{233}$ 233A-18 $233$ $467$ $C_{233}$ 233A-36 233A-56 $a^{178}b^{444}$
$C_{467}:C_{233}$ 233A19 $233$ $467$ $C_{233}$ 233A38 233A85 $a^{71}b^{234}$
$C_{467}:C_{233}$ 233A-19 $233$ $467$ $C_{233}$ 233A-38 233A-85 $a^{162}b^{300}$
$C_{467}:C_{233}$ 233A20 $233$ $467$ $C_{233}$ 233A40 233A114 $a^{87}b^{84}$
$C_{467}:C_{233}$ 233A-20 $233$ $467$ $C_{233}$ 233A-40 233A-114 $a^{146}b^{367}$
$C_{467}:C_{233}$ 233A21 $233$ $467$ $C_{233}$ 233A42 233A-90 $a^{103}b^{30}$
$C_{467}:C_{233}$ 233A-21 $233$ $467$ $C_{233}$ 233A-42 233A90 $a^{130}b^{138}$
$C_{467}:C_{233}$ 233A22 $233$ $467$ $C_{233}$ 233A44 233A-61 $a^{119}b^{160}$
$C_{467}:C_{233}$ 233A-22 $233$ $467$ $C_{233}$ 233A-44 233A61 $a^{114}b^{384}$
$C_{467}:C_{233}$ 233A23 $233$ $467$ $C_{233}$ 233A46 233A-32 $a^{135}b^{20}$
$C_{467}:C_{233}$ 233A-23 $233$ $467$ $C_{233}$ 233A-46 233A32 $a^{98}b^{289}$
$C_{467}:C_{233}$ 233A24 $233$ $467$ $C_{233}$ 233A48 233A-3 $a^{151}b^{63}$
$C_{467}:C_{233}$ 233A-24 $233$ $467$ $C_{233}$ 233A-48 233A3 $a^{82}b^{77}$
$C_{467}:C_{233}$ 233A25 $233$ $467$ $C_{233}$ 233A50 233A26 $a^{167}b^{340}$
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