↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 54 matches)

Next   displayed columns for results

Elements of the group are displayed as words in the presentation $\langle a, b, c \mid a^{2}=b^{12}=c^{14}=[a,c]=1, b^{a}=b^{5}c^{7}, c^{b}=c^{13} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 3P 7P
$C_{14}.D_{12}$ 1A $1$ $1$ $C_{14}.D_{12}$ 1A 1A 1A $1$
$C_{14}.D_{12}$ 2A $2$ $1$ $C_{14}.D_{12}$ 1A 2A 2A $b^{6}$
$C_{14}.D_{12}$ 2B $2$ $1$ $C_{14}.D_{12}$ 1A 2B 2B $c^{7}$
$C_{14}.D_{12}$ 2C $2$ $1$ $C_{14}.D_{12}$ 1A 2C 2C $b^{6}c^{7}$
$C_{14}.D_{12}$ 2D $2$ $6$ $C_2^2\times C_{14}$ 1A 2D 2D $a$
$C_{14}.D_{12}$ 2E $2$ $6$ $C_2^2\times C_{14}$ 1A 2E 2E $ab^{2}$
$C_{14}.D_{12}$ 3A $3$ $2$ $C_{14}:C_{12}$ 3A 1A 3A $b^{4}$
$C_{14}.D_{12}$ 4A1 $4$ $14$ $C_2\times C_{12}$ 2A 4A-1 4A-1 $b^{3}$
$C_{14}.D_{12}$ 4A-1 $4$ $14$ $C_2\times C_{12}$ 2A 4A1 4A1 $b^{9}$
$C_{14}.D_{12}$ 4B1 $4$ $42$ $C_2\times C_4$ 2C 4B-1 4B-1 $ab^{9}c$
$C_{14}.D_{12}$ 4B-1 $4$ $42$ $C_2\times C_4$ 2C 4B1 4B1 $ab^{3}c^{8}$
$C_{14}.D_{12}$ 6A $6$ $2$ $C_{14}:C_{12}$ 3A 2A 6A $b^{2}$
$C_{14}.D_{12}$ 6B $6$ $2$ $C_{14}:C_{12}$ 3A 2B 6B $b^{4}c^{7}$
$C_{14}.D_{12}$ 6C $6$ $2$ $C_{14}:C_{12}$ 3A 2C 6C $b^{2}c^{7}$
$C_{14}.D_{12}$ 7A1 $7$ $2$ $D_6\times C_{14}$ 7A2 7A3 1A $c^{4}$
$C_{14}.D_{12}$ 7A2 $7$ $2$ $D_6\times C_{14}$ 7A3 7A1 1A $c^{8}$
$C_{14}.D_{12}$ 7A3 $7$ $2$ $D_6\times C_{14}$ 7A1 7A2 1A $c^{12}$
$C_{14}.D_{12}$ 12A1 $12$ $14$ $C_2\times C_{12}$ 6A 4A1 12A-5 $b$
$C_{14}.D_{12}$ 12A-1 $12$ $14$ $C_2\times C_{12}$ 6A 4A-1 12A5 $b^{11}$
$C_{14}.D_{12}$ 12A5 $12$ $14$ $C_2\times C_{12}$ 6A 4A1 12A-1 $bc$
$C_{14}.D_{12}$ 12A-5 $12$ $14$ $C_2\times C_{12}$ 6A 4A-1 12A1 $b^{7}$
$C_{14}.D_{12}$ 14A1 $14$ $2$ $D_6\times C_{14}$ 7A2 14A3 2B $c^{3}$
$C_{14}.D_{12}$ 14A3 $14$ $2$ $D_6\times C_{14}$ 7A1 14A5 2B $c^{9}$
$C_{14}.D_{12}$ 14A5 $14$ $2$ $D_6\times C_{14}$ 7A3 14A1 2B $c$
$C_{14}.D_{12}$ 14B1 $14$ $2$ $D_6\times C_{14}$ 7A3 14B3 2A $b^{6}c^{6}$
$C_{14}.D_{12}$ 14B3 $14$ $2$ $D_6\times C_{14}$ 7A2 14B5 2A $b^{6}c^{4}$
$C_{14}.D_{12}$ 14B5 $14$ $2$ $D_6\times C_{14}$ 7A1 14B1 2A $b^{6}c^{2}$
$C_{14}.D_{12}$ 14C1 $14$ $2$ $D_6\times C_{14}$ 7A2 14C3 2C $b^{6}c^{3}$
$C_{14}.D_{12}$ 14C3 $14$ $2$ $D_6\times C_{14}$ 7A1 14C5 2C $b^{6}c^{9}$
$C_{14}.D_{12}$ 14C5 $14$ $2$ $D_6\times C_{14}$ 7A3 14C1 2C $b^{6}c$
$C_{14}.D_{12}$ 14D1 $14$ $6$ $C_2^2\times C_{14}$ 7A1 14D3 2D $ac^{2}$
$C_{14}.D_{12}$ 14D-1 $14$ $6$ $C_2^2\times C_{14}$ 7A1 14D-3 2D $ac^{12}$
$C_{14}.D_{12}$ 14D3 $14$ $6$ $C_2^2\times C_{14}$ 7A3 14D-5 2D $ac$
$C_{14}.D_{12}$ 14D-3 $14$ $6$ $C_2^2\times C_{14}$ 7A3 14D5 2D $ac^{8}$
$C_{14}.D_{12}$ 14D5 $14$ $6$ $C_2^2\times C_{14}$ 7A2 14D1 2D $ac^{10}$
$C_{14}.D_{12}$ 14D-5 $14$ $6$ $C_2^2\times C_{14}$ 7A2 14D-1 2D $ac^{4}$
$C_{14}.D_{12}$ 14E1 $14$ $6$ $C_2^2\times C_{14}$ 7A1 14E3 2E $ab^{2}c^{2}$
$C_{14}.D_{12}$ 14E-1 $14$ $6$ $C_2^2\times C_{14}$ 7A1 14E-3 2E $ab^{2}c^{12}$
$C_{14}.D_{12}$ 14E3 $14$ $6$ $C_2^2\times C_{14}$ 7A3 14E-5 2E $ab^{2}c$
$C_{14}.D_{12}$ 14E-3 $14$ $6$ $C_2^2\times C_{14}$ 7A3 14E5 2E $ab^{2}c^{8}$
$C_{14}.D_{12}$ 14E5 $14$ $6$ $C_2^2\times C_{14}$ 7A2 14E1 2E $ab^{2}c^{10}$
$C_{14}.D_{12}$ 14E-5 $14$ $6$ $C_2^2\times C_{14}$ 7A2 14E-1 2E $ab^{2}c^{4}$
$C_{14}.D_{12}$ 21A1 $21$ $4$ $C_2\times C_{42}$ 21A2 7A2 3A $b^{8}c^{2}$
$C_{14}.D_{12}$ 21A2 $21$ $4$ $C_2\times C_{42}$ 21A4 7A3 3A $b^{4}c^{4}$
$C_{14}.D_{12}$ 21A4 $21$ $4$ $C_2\times C_{42}$ 21A1 7A1 3A $b^{8}c^{8}$
$C_{14}.D_{12}$ 42A1 $42$ $4$ $C_2\times C_{42}$ 21A1 14A1 6B $b^{4}c$
$C_{14}.D_{12}$ 42A5 $42$ $4$ $C_2\times C_{42}$ 21A2 14A5 6B $b^{4}c^{5}$
$C_{14}.D_{12}$ 42A11 $42$ $4$ $C_2\times C_{42}$ 21A4 14A3 6B $b^{4}c^{3}$
$C_{14}.D_{12}$ 42B1 $42$ $4$ $C_2\times C_{42}$ 21A2 14B1 6A $b^{2}c^{2}$
$C_{14}.D_{12}$ 42B5 $42$ $4$ $C_2\times C_{42}$ 21A4 14B5 6A $b^{2}c^{4}$
Next   displayed columns for results