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Elements of the group are displayed as words in the presentation $\langle a, b, c \mid a^{6}=b^{28}=c^{4}=[a,c]=1, b^{a}=b^{3}, c^{b}=c^{3} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 3P 7P
$(C_2\times D_{28}):C_6$ 1A $1$ $1$ $(C_2\times D_{28}):C_6$ 1A 1A 1A $1$
$(C_2\times D_{28}):C_6$ 2A $2$ $1$ $(C_2\times D_{28}):C_6$ 1A 2A 2A $b^{14}c^{2}$
$(C_2\times D_{28}):C_6$ 2B $2$ $1$ $(C_2\times D_{28}):C_6$ 1A 2B 2B $c^{2}$
$(C_2\times D_{28}):C_6$ 2C $2$ $1$ $(C_2\times D_{28}):C_6$ 1A 2C 2C $b^{14}$
$(C_2\times D_{28}):C_6$ 2D $2$ $14$ $C_2^2\times C_{12}$ 1A 2D 2D $a^{3}$
$(C_2\times D_{28}):C_6$ 2E $2$ $14$ $C_2^2\times C_{12}$ 1A 2E 2E $a^{3}c^{2}$
$(C_2\times D_{28}):C_6$ 2F $2$ $28$ $C_2^2\times C_6$ 1A 2F 2F $a^{3}b^{11}$
$(C_2\times D_{28}):C_6$ 2G $2$ $28$ $C_2^2\times C_6$ 1A 2G 2G $a^{3}b^{21}c^{3}$
$(C_2\times D_{28}):C_6$ 3A1 $3$ $7$ $C_{12}:D_4$ 3A-1 1A 3A1 $a^{4}b^{20}$
$(C_2\times D_{28}):C_6$ 3A-1 $3$ $7$ $C_{12}:D_4$ 3A1 1A 3A-1 $a^{2}b^{16}$
$(C_2\times D_{28}):C_6$ 4A $4$ $2$ $D_{14}:C_{12}$ 2B 4A 4A $c^{3}$
$(C_2\times D_{28}):C_6$ 4B $4$ $2$ $D_{14}:C_{12}$ 2B 4B 4B $b^{14}c^{3}$
$(C_2\times D_{28}):C_6$ 4C $4$ $4$ $C_{14}:C_{12}$ 2C 4C 4C $b^{7}$
$(C_2\times D_{28}):C_6$ 4D $4$ $4$ $C_{14}:C_{12}$ 2C 4D 4D $b^{7}c$
$(C_2\times D_{28}):C_6$ 4E1 $4$ $14$ $C_2^2\times C_{12}$ 2B 4E-1 4E-1 $a^{3}c^{3}$
$(C_2\times D_{28}):C_6$ 4E-1 $4$ $14$ $C_2^2\times C_{12}$ 2B 4E1 4E1 $a^{3}c$
$(C_2\times D_{28}):C_6$ 6A1 $6$ $7$ $C_{12}:D_4$ 3A1 2A 6A1 $a^{2}b^{2}c^{2}$
$(C_2\times D_{28}):C_6$ 6A-1 $6$ $7$ $C_{12}:D_4$ 3A-1 2A 6A-1 $a^{4}b^{2}c^{2}$
$(C_2\times D_{28}):C_6$ 6B1 $6$ $7$ $C_{12}:D_4$ 3A-1 2B 6B1 $a^{4}c^{2}$
$(C_2\times D_{28}):C_6$ 6B-1 $6$ $7$ $C_{12}:D_4$ 3A1 2B 6B-1 $a^{2}c^{2}$
$(C_2\times D_{28}):C_6$ 6C1 $6$ $7$ $C_{12}:D_4$ 3A-1 2C 6C1 $a^{4}b^{26}$
$(C_2\times D_{28}):C_6$ 6C-1 $6$ $7$ $C_{12}:D_4$ 3A1 2C 6C-1 $a^{2}b^{18}$
$(C_2\times D_{28}):C_6$ 6D1 $6$ $14$ $C_2^2\times C_{12}$ 3A-1 2D 6D1 $a$
$(C_2\times D_{28}):C_6$ 6D-1 $6$ $14$ $C_2^2\times C_{12}$ 3A1 2D 6D-1 $a^{5}$
$(C_2\times D_{28}):C_6$ 6E1 $6$ $14$ $C_2^2\times C_{12}$ 3A-1 2E 6E1 $ac^{2}$
$(C_2\times D_{28}):C_6$ 6E-1 $6$ $14$ $C_2^2\times C_{12}$ 3A1 2E 6E-1 $a^{5}c^{2}$
$(C_2\times D_{28}):C_6$ 6F1 $6$ $28$ $C_2^2\times C_6$ 3A-1 2F 6F1 $ab^{3}$
$(C_2\times D_{28}):C_6$ 6F-1 $6$ $28$ $C_2^2\times C_6$ 3A1 2F 6F-1 $a^{5}b^{27}$
$(C_2\times D_{28}):C_6$ 6G1 $6$ $28$ $C_2^2\times C_6$ 3A-1 2G 6G1 $ab^{21}c^{3}$
$(C_2\times D_{28}):C_6$ 6G-1 $6$ $28$ $C_2^2\times C_6$ 3A1 2G 6G-1 $a^{5}b^{21}c^{3}$
$(C_2\times D_{28}):C_6$ 7A $7$ $6$ $C_4:C_{28}$ 7A 7A 1A $b^{4}$
$(C_2\times D_{28}):C_6$ 12A1 $12$ $14$ $C_2^2\times C_{12}$ 6B1 4A 12A1 $a^{2}c$
$(C_2\times D_{28}):C_6$ 12A-1 $12$ $14$ $C_2^2\times C_{12}$ 6B-1 4A 12A-1 $a^{4}c$
$(C_2\times D_{28}):C_6$ 12B1 $12$ $14$ $C_2^2\times C_{12}$ 6B1 4B 12B1 $a^{2}b^{2}c$
$(C_2\times D_{28}):C_6$ 12B-1 $12$ $14$ $C_2^2\times C_{12}$ 6B-1 4B 12B-1 $a^{4}b^{2}c$
$(C_2\times D_{28}):C_6$ 12C1 $12$ $14$ $C_2^2\times C_{12}$ 6B-1 4E1 12C-5 $ac$
$(C_2\times D_{28}):C_6$ 12C-1 $12$ $14$ $C_2^2\times C_{12}$ 6B1 4E-1 12C5 $a^{5}c^{3}$
$(C_2\times D_{28}):C_6$ 12C5 $12$ $14$ $C_2^2\times C_{12}$ 6B1 4E1 12C-1 $a^{5}c$
$(C_2\times D_{28}):C_6$ 12C-5 $12$ $14$ $C_2^2\times C_{12}$ 6B-1 4E-1 12C1 $ac^{3}$
$(C_2\times D_{28}):C_6$ 12D1 $12$ $28$ $C_2\times C_{12}$ 6C1 4D 12D1 $a^{2}b^{25}c^{3}$
$(C_2\times D_{28}):C_6$ 12D-1 $12$ $28$ $C_2\times C_{12}$ 6C-1 4D 12D-1 $a^{4}b^{19}c^{3}$
$(C_2\times D_{28}):C_6$ 12E1 $12$ $28$ $C_2\times C_{12}$ 6C-1 4C 12E1 $a^{4}b^{5}$
$(C_2\times D_{28}):C_6$ 12E-1 $12$ $28$ $C_2\times C_{12}$ 6C1 4C 12E-1 $a^{2}b^{11}$
$(C_2\times D_{28}):C_6$ 14A $14$ $6$ $C_4:C_{28}$ 7A 14A 2A $b^{2}c^{2}$
$(C_2\times D_{28}):C_6$ 14B $14$ $6$ $C_4:C_{28}$ 7A 14B 2B $b^{8}c^{2}$
$(C_2\times D_{28}):C_6$ 14C $14$ $6$ $C_4:C_{28}$ 7A 14C 2C $b^{2}$
$(C_2\times D_{28}):C_6$ 28A $28$ $12$ $C_2\times C_{28}$ 14B 28A 4A $b^{4}c$
$(C_2\times D_{28}):C_6$ 28B $28$ $12$ $C_2\times C_{28}$ 14B 28B 4B $b^{2}c$
$(C_2\times D_{28}):C_6$ 28C1 $28$ $12$ $C_2\times C_{28}$ 14C 28C1 4C $b$
$(C_2\times D_{28}):C_6$ 28C5 $28$ $12$ $C_2\times C_{28}$ 14C 28C5 4C $b^{5}$
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