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Results (24 matches)

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Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{16}=b^{3}=1, b^{a}=b^{2} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 3P
$C_3:C_{16}$ 1A $1$ $1$ $C_3:C_{16}$ 1A 1A $1$
$C_3:C_{16}$ 2A $2$ $1$ $C_3:C_{16}$ 1A 2A $a^{8}$
$C_3:C_{16}$ 3A $3$ $2$ $C_{24}$ 3A 1A $b^{2}$
$C_3:C_{16}$ 4A1 $4$ $1$ $C_3:C_{16}$ 2A 4A-1 $a^{4}$
$C_3:C_{16}$ 4A-1 $4$ $1$ $C_3:C_{16}$ 2A 4A1 $a^{12}$
$C_3:C_{16}$ 6A $6$ $2$ $C_{24}$ 3A 2A $a^{8}b$
$C_3:C_{16}$ 8A1 $8$ $1$ $C_3:C_{16}$ 4A1 8A3 $a^{2}$
$C_3:C_{16}$ 8A-1 $8$ $1$ $C_3:C_{16}$ 4A-1 8A-3 $a^{14}$
$C_3:C_{16}$ 8A3 $8$ $1$ $C_3:C_{16}$ 4A-1 8A1 $a^{6}$
$C_3:C_{16}$ 8A-3 $8$ $1$ $C_3:C_{16}$ 4A1 8A-1 $a^{10}$
$C_3:C_{16}$ 12A1 $12$ $2$ $C_{24}$ 6A 4A-1 $a^{4}b^{2}$
$C_3:C_{16}$ 12A-1 $12$ $2$ $C_{24}$ 6A 4A1 $a^{12}b$
$C_3:C_{16}$ 16A1 $16$ $3$ $C_{16}$ 8A1 16A3 $a$
$C_3:C_{16}$ 16A-1 $16$ $3$ $C_{16}$ 8A-1 16A-3 $a^{15}$
$C_3:C_{16}$ 16A3 $16$ $3$ $C_{16}$ 8A3 16A-7 $a^{3}$
$C_3:C_{16}$ 16A-3 $16$ $3$ $C_{16}$ 8A-3 16A7 $a^{13}$
$C_3:C_{16}$ 16A5 $16$ $3$ $C_{16}$ 8A-3 16A-1 $a^{5}$
$C_3:C_{16}$ 16A-5 $16$ $3$ $C_{16}$ 8A3 16A1 $a^{11}$
$C_3:C_{16}$ 16A7 $16$ $3$ $C_{16}$ 8A-1 16A5 $a^{7}$
$C_3:C_{16}$ 16A-7 $16$ $3$ $C_{16}$ 8A1 16A-5 $a^{9}$
$C_3:C_{16}$ 24A1 $24$ $2$ $C_{24}$ 12A1 8A3 $a^{2}b$
$C_3:C_{16}$ 24A-1 $24$ $2$ $C_{24}$ 12A-1 8A-3 $a^{14}b$
$C_3:C_{16}$ 24A5 $24$ $2$ $C_{24}$ 12A1 8A-1 $a^{10}b$
$C_3:C_{16}$ 24A-5 $24$ $2$ $C_{24}$ 12A-1 8A1 $a^{6}b$
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