↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 55 matches)

Next   displayed columns for results

Elements of the group are displayed as words in the presentation $\langle a, b, c, d \mid a^{2}=b^{2}=c^{2}=d^{56}=[a,b]=[a,c]=1, d^{a}=d^{41}, c^{b}=cd^{42}, d^{b}=d^{15}, d^{c}=d^{43} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 7P
$D_8:D_{14}$ 1A $1$ $1$ $D_8:D_{14}$ 1A 1A $1$
$D_8:D_{14}$ 2A $2$ $1$ $D_8:D_{14}$ 1A 2A $d^{28}$
$D_8:D_{14}$ 2B $2$ $2$ $D_4\times D_{14}$ 1A 2B $bcd^{35}$
$D_8:D_{14}$ 2C $2$ $4$ $C_2^2\times D_{14}$ 1A 2C $c$
$D_8:D_{14}$ 2D $2$ $4$ $C_4\times D_{14}$ 1A 2D $b$
$D_8:D_{14}$ 2E $2$ $4$ $C_2^2\times D_{14}$ 1A 2E $bd^{49}$
$D_8:D_{14}$ 2F $2$ $7$ $C_8:C_2^3$ 1A 2F $a$
$D_8:D_{14}$ 2G $2$ $7$ $C_8:C_2^3$ 1A 2G $ad^{4}$
$D_8:D_{14}$ 2H $2$ $14$ $C_2^2\times D_4$ 1A 2H $abcd^{3}$
$D_8:D_{14}$ 2I $2$ $28$ $C_2^4$ 1A 2I $ac$
$D_8:D_{14}$ 2J $2$ $28$ $C_2^2\times C_4$ 1A 2J $abd^{6}$
$D_8:D_{14}$ 2K $2$ $28$ $C_2^4$ 1A 2K $abd^{41}$
$D_8:D_{14}$ 4A $4$ $2$ $D_4:D_{14}$ 2A 4A $bcd^{21}$
$D_8:D_{14}$ 4B $4$ $2$ $D_7\times \OD_{16}$ 2A 4B $d^{14}$
$D_8:D_{14}$ 4C $4$ $4$ $C_4\times D_{14}$ 2A 4C $cd^{21}$
$D_8:D_{14}$ 4D $4$ $14$ $C_2\times \OD_{16}$ 2A 4D $ad^{2}$
$D_8:D_{14}$ 4E $4$ $14$ $D_4:C_2^2$ 2A 4E $abcd$
$D_8:D_{14}$ 4F $4$ $28$ $C_2^2\times C_4$ 2A 4F $acd^{17}$
$D_8:D_{14}$ 7A1 $7$ $2$ $D_8:C_{14}$ 7A2 7A3 $d^{48}$
$D_8:D_{14}$ 7A2 $7$ $2$ $D_8:C_{14}$ 7A3 7A1 $d^{40}$
$D_8:D_{14}$ 7A3 $7$ $2$ $D_8:C_{14}$ 7A1 7A2 $d^{32}$
$D_8:D_{14}$ 8A $8$ $4$ $C_8\times D_7$ 4B 8A $d^{7}$
$D_8:D_{14}$ 8B $8$ $4$ $C_8\times D_7$ 4B 8B $bcd^{42}$
$D_8:D_{14}$ 8C $8$ $28$ $C_2\times C_8$ 4B 8C $abcd^{52}$
$D_8:D_{14}$ 8D $8$ $28$ $C_2\times C_8$ 4B 8D $ad^{49}$
$D_8:D_{14}$ 14A1 $14$ $2$ $D_8:C_{14}$ 7A3 14A3 $d^{44}$
$D_8:D_{14}$ 14A3 $14$ $2$ $D_8:C_{14}$ 7A2 14A5 $d^{20}$
$D_8:D_{14}$ 14A5 $14$ $2$ $D_8:C_{14}$ 7A1 14A1 $d^{52}$
$D_8:D_{14}$ 14B1 $14$ $4$ $D_4\times C_{14}$ 7A1 14B3 $bcd^{3}$
$D_8:D_{14}$ 14B3 $14$ $4$ $D_4\times C_{14}$ 7A3 14B5 $bcd^{19}$
$D_8:D_{14}$ 14B5 $14$ $4$ $D_4\times C_{14}$ 7A2 14B1 $bcd^{27}$
$D_8:D_{14}$ 14C1 $14$ $8$ $C_2^2\times C_{14}$ 7A2 14C3 $cd^{8}$
$D_8:D_{14}$ 14C3 $14$ $8$ $C_2^2\times C_{14}$ 7A1 14C5 $cd^{4}$
$D_8:D_{14}$ 14C5 $14$ $8$ $C_2^2\times C_{14}$ 7A3 14C1 $cd^{2}$
$D_8:D_{14}$ 14D1 $14$ $8$ $C_2\times C_{28}$ 7A2 14D3 $bd^{8}$
$D_8:D_{14}$ 14D3 $14$ $8$ $C_2\times C_{28}$ 7A1 14D5 $bd^{4}$
$D_8:D_{14}$ 14D5 $14$ $8$ $C_2\times C_{28}$ 7A3 14D1 $bd^{2}$
$D_8:D_{14}$ 14E1 $14$ $8$ $C_2^2\times C_{14}$ 7A2 14E3 $bd$
$D_8:D_{14}$ 14E3 $14$ $8$ $C_2^2\times C_{14}$ 7A1 14E5 $bd^{3}$
$D_8:D_{14}$ 14E5 $14$ $8$ $C_2^2\times C_{14}$ 7A3 14E1 $bd^{9}$
$D_8:D_{14}$ 28A1 $28$ $4$ $D_4:C_{14}$ 14A1 28A3 $bcd$
$D_8:D_{14}$ 28A3 $28$ $4$ $D_4:C_{14}$ 14A3 28A5 $bcd^{17}$
$D_8:D_{14}$ 28A5 $28$ $4$ $D_4:C_{14}$ 14A5 28A1 $bcd^{9}$
$D_8:D_{14}$ 28B1 $28$ $4$ $C_7\times \OD_{16}$ 14A5 28B3 $d^{2}$
$D_8:D_{14}$ 28B3 $28$ $4$ $C_7\times \OD_{16}$ 14A1 28B5 $d^{6}$
$D_8:D_{14}$ 28B5 $28$ $4$ $C_7\times \OD_{16}$ 14A3 28B1 $d^{10}$
$D_8:D_{14}$ 28C1 $28$ $8$ $C_2\times C_{28}$ 14A1 28C3 $cd$
$D_8:D_{14}$ 28C3 $28$ $8$ $C_2\times C_{28}$ 14A3 28C5 $cd^{3}$
$D_8:D_{14}$ 28C5 $28$ $8$ $C_2\times C_{28}$ 14A5 28C1 $cd^{9}$
$D_8:D_{14}$ 56A1 $56$ $8$ $C_{56}$ 28B1 56A3 $d$
Next   displayed columns for results