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Elements of the group are displayed as permutations of degree 14.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P
$C_{20}\times A_5$ 1A $1$ $1$ $C_{20}\times A_5$ 1A 1A 1A $()$
$C_{20}\times A_5$ 2A $2$ $1$ $C_{20}\times A_5$ 1A 2A 2A $(11,12)(13,14)$
$C_{20}\times A_5$ 2B $2$ $15$ $C_2^2\times C_{20}$ 1A 2B 2B $(7,8)(9,10)$
$C_{20}\times A_5$ 2C $2$ $15$ $C_2^2\times C_{20}$ 1A 2C 2C $(7,8)(9,10)(11,12)(13,14)$
$C_{20}\times A_5$ 3A $3$ $20$ $C_{60}$ 3A 1A 3A $(8,10,9)$
$C_{20}\times A_5$ 4A1 $4$ $1$ $C_{20}\times A_5$ 2A 4A-1 4A1 $(11,13,12,14)$
$C_{20}\times A_5$ 4A-1 $4$ $1$ $C_{20}\times A_5$ 2A 4A1 4A-1 $(11,14,12,13)$
$C_{20}\times A_5$ 4B1 $4$ $15$ $C_2^2\times C_{20}$ 2A 4B-1 4B1 $(7,8)(9,10)(11,13,12,14)$
$C_{20}\times A_5$ 4B-1 $4$ $15$ $C_2^2\times C_{20}$ 2A 4B1 4B-1 $(7,8)(9,10)(11,14,12,13)$
$C_{20}\times A_5$ 5A1 $5$ $1$ $C_{20}\times A_5$ 5A2 5A-2 1A $(1,3,5,2,4)$
$C_{20}\times A_5$ 5A-1 $5$ $1$ $C_{20}\times A_5$ 5A-2 5A2 1A $(1,4,2,5,3)$
$C_{20}\times A_5$ 5A2 $5$ $1$ $C_{20}\times A_5$ 5A-1 5A1 1A $(1,5,4,3,2)$
$C_{20}\times A_5$ 5A-2 $5$ $1$ $C_{20}\times A_5$ 5A1 5A-1 1A $(1,2,3,4,5)$
$C_{20}\times A_5$ 5B1 $5$ $12$ $C_5\times C_{20}$ 5B2 5B2 1A $(6,10,9,8,7)$
$C_{20}\times A_5$ 5B2 $5$ $12$ $C_5\times C_{20}$ 5B1 5B1 1A $(6,9,7,10,8)$
$C_{20}\times A_5$ 5C1 $5$ $12$ $C_5\times C_{20}$ 5C2 5C-2 1A $(1,5,4,3,2)(6,10,9,8,7)$
$C_{20}\times A_5$ 5C-1 $5$ $12$ $C_5\times C_{20}$ 5C-2 5C2 1A $(1,2,3,4,5)(6,7,8,9,10)$
$C_{20}\times A_5$ 5C2 $5$ $12$ $C_5\times C_{20}$ 5C-1 5C1 1A $(1,4,2,5,3)(6,9,7,10,8)$
$C_{20}\times A_5$ 5C-2 $5$ $12$ $C_5\times C_{20}$ 5C1 5C-1 1A $(1,3,5,2,4)(6,8,10,7,9)$
$C_{20}\times A_5$ 5D1 $5$ $12$ $C_5\times C_{20}$ 5D2 5D-2 1A $(1,5,4,3,2)(6,9,10,8,7)$
$C_{20}\times A_5$ 5D-1 $5$ $12$ $C_5\times C_{20}$ 5D-2 5D2 1A $(1,2,3,4,5)(6,7,8,10,9)$
$C_{20}\times A_5$ 5D2 $5$ $12$ $C_5\times C_{20}$ 5D-1 5D1 1A $(1,4,2,5,3)(6,10,7,9,8)$
$C_{20}\times A_5$ 5D-2 $5$ $12$ $C_5\times C_{20}$ 5D1 5D-1 1A $(1,3,5,2,4)(6,8,9,7,10)$
$C_{20}\times A_5$ 6A $6$ $20$ $C_{60}$ 3A 2A 6A $(8,9,10)(11,12)(13,14)$
$C_{20}\times A_5$ 10A1 $10$ $1$ $C_{20}\times A_5$ 5A2 10A3 2A $(1,3,5,2,4)(11,12)(13,14)$
$C_{20}\times A_5$ 10A-1 $10$ $1$ $C_{20}\times A_5$ 5A-2 10A-3 2A $(1,4,2,5,3)(11,12)(13,14)$
$C_{20}\times A_5$ 10A3 $10$ $1$ $C_{20}\times A_5$ 5A1 10A-1 2A $(1,2,3,4,5)(11,12)(13,14)$
$C_{20}\times A_5$ 10A-3 $10$ $1$ $C_{20}\times A_5$ 5A-1 10A1 2A $(1,5,4,3,2)(11,12)(13,14)$
$C_{20}\times A_5$ 10B1 $10$ $12$ $C_5\times C_{20}$ 5B1 10B3 2A $(6,8,10,7,9)(11,12)(13,14)$
$C_{20}\times A_5$ 10B3 $10$ $12$ $C_5\times C_{20}$ 5B2 10B1 2A $(6,7,8,9,10)(11,12)(13,14)$
$C_{20}\times A_5$ 10C1 $10$ $12$ $C_5\times C_{20}$ 5C1 10C3 2A $(1,3,5,2,4)(6,8,10,7,9)(11,12)(13,14)$
$C_{20}\times A_5$ 10C-1 $10$ $12$ $C_5\times C_{20}$ 5C-1 10C-3 2A $(1,4,2,5,3)(6,9,7,10,8)(11,12)(13,14)$
$C_{20}\times A_5$ 10C3 $10$ $12$ $C_5\times C_{20}$ 5C-2 10C-1 2A $(1,2,3,4,5)(6,7,8,9,10)(11,12)(13,14)$
$C_{20}\times A_5$ 10C-3 $10$ $12$ $C_5\times C_{20}$ 5C2 10C1 2A $(1,5,4,3,2)(6,10,9,8,7)(11,12)(13,14)$
$C_{20}\times A_5$ 10D1 $10$ $12$ $C_5\times C_{20}$ 5D1 10D3 2A $(1,3,5,2,4)(6,8,9,7,10)(11,12)(13,14)$
$C_{20}\times A_5$ 10D-1 $10$ $12$ $C_5\times C_{20}$ 5D-1 10D-3 2A $(1,4,2,5,3)(6,10,7,9,8)(11,12)(13,14)$
$C_{20}\times A_5$ 10D3 $10$ $12$ $C_5\times C_{20}$ 5D-2 10D-1 2A $(1,2,3,4,5)(6,7,8,10,9)(11,12)(13,14)$
$C_{20}\times A_5$ 10D-3 $10$ $12$ $C_5\times C_{20}$ 5D2 10D1 2A $(1,5,4,3,2)(6,9,10,8,7)(11,12)(13,14)$
$C_{20}\times A_5$ 10E1 $10$ $15$ $C_2^2\times C_{20}$ 5A1 10E3 2B $(1,2,3,4,5)(7,8)(9,10)$
$C_{20}\times A_5$ 10E-1 $10$ $15$ $C_2^2\times C_{20}$ 5A-1 10E-3 2B $(1,5,4,3,2)(7,8)(9,10)$
$C_{20}\times A_5$ 10E3 $10$ $15$ $C_2^2\times C_{20}$ 5A-2 10E-1 2B $(1,4,2,5,3)(7,8)(9,10)$
$C_{20}\times A_5$ 10E-3 $10$ $15$ $C_2^2\times C_{20}$ 5A2 10E1 2B $(1,3,5,2,4)(7,8)(9,10)$
$C_{20}\times A_5$ 10F1 $10$ $15$ $C_2^2\times C_{20}$ 5A1 10F3 2C $(1,2,3,4,5)(7,8)(9,10)(11,12)(13,14)$
$C_{20}\times A_5$ 10F-1 $10$ $15$ $C_2^2\times C_{20}$ 5A-1 10F-3 2C $(1,5,4,3,2)(7,8)(9,10)(11,12)(13,14)$
$C_{20}\times A_5$ 10F3 $10$ $15$ $C_2^2\times C_{20}$ 5A-2 10F-1 2C $(1,4,2,5,3)(7,8)(9,10)(11,12)(13,14)$
$C_{20}\times A_5$ 10F-3 $10$ $15$ $C_2^2\times C_{20}$ 5A2 10F1 2C $(1,3,5,2,4)(7,8)(9,10)(11,12)(13,14)$
$C_{20}\times A_5$ 12A1 $12$ $20$ $C_{60}$ 6A 4A-1 12A1 $(8,10,9)(11,13,12,14)$
$C_{20}\times A_5$ 12A-1 $12$ $20$ $C_{60}$ 6A 4A1 12A-1 $(8,9,10)(11,14,12,13)$
$C_{20}\times A_5$ 15A1 $15$ $20$ $C_{60}$ 15A2 5A1 3A $(1,5,4,3,2)(8,9,10)$
$C_{20}\times A_5$ 15A-1 $15$ $20$ $C_{60}$ 15A-2 5A-1 3A $(1,2,3,4,5)(8,10,9)$
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