↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 56 matches)

Next   displayed columns for results

Elements of the group are displayed as words in the presentation $\langle a, b, c, d \mid a^{2}=b^{4}=c^{10}=d^{10}=[a,b]=[a,c]=[a,d]=1, c^{b}=c^{7}d^{4}, d^{b}=d^{7}, d^{c}=d^{9} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P
$D_{10}^2.C_2$ 1A $1$ $1$ $D_{10}^2.C_2$ 1A 1A $1$
$D_{10}^2.C_2$ 2A $2$ $1$ $D_{10}^2.C_2$ 1A 2A $d^{5}$
$D_{10}^2.C_2$ 2B $2$ $1$ $D_{10}^2.C_2$ 1A 2B $a$
$D_{10}^2.C_2$ 2C $2$ $1$ $D_{10}^2.C_2$ 1A 2C $ad^{5}$
$D_{10}^2.C_2$ 2D $2$ $5$ $C_2^3\times F_5$ 1A 2D $c^{5}$
$D_{10}^2.C_2$ 2E $2$ $5$ $C_2^3\times F_5$ 1A 2E $c^{5}d$
$D_{10}^2.C_2$ 2F $2$ $5$ $C_2^3\times F_5$ 1A 2F $b^{2}cd^{6}$
$D_{10}^2.C_2$ 2G $2$ $5$ $C_2^3\times F_5$ 1A 2G $ac^{5}$
$D_{10}^2.C_2$ 2H $2$ $5$ $C_2^3\times F_5$ 1A 2H $ac^{5}d$
$D_{10}^2.C_2$ 2I $2$ $5$ $C_2^3\times F_5$ 1A 2I $ab^{2}cd^{6}$
$D_{10}^2.C_2$ 2J $2$ $5$ $C_2^3\times F_5$ 1A 2J $b^{2}cd$
$D_{10}^2.C_2$ 2K $2$ $5$ $C_2^3\times F_5$ 1A 2K $ab^{2}cd$
$D_{10}^2.C_2$ 2L $2$ $25$ $C_2^3\times C_4$ 1A 2L $b^{2}d$
$D_{10}^2.C_2$ 2M $2$ $25$ $C_2^3\times C_4$ 1A 2M $ab^{2}$
$D_{10}^2.C_2$ 2N $2$ $25$ $C_2^3\times C_4$ 1A 2N $ab^{2}d$
$D_{10}^2.C_2$ 2O $2$ $25$ $C_2^3\times C_4$ 1A 2O $b^{2}$
$D_{10}^2.C_2$ 4A1 $4$ $25$ $C_2^3\times C_4$ 2O 4A1 $b$
$D_{10}^2.C_2$ 4A-1 $4$ $25$ $C_2^3\times C_4$ 2O 4A-1 $b^{3}$
$D_{10}^2.C_2$ 4B1 $4$ $25$ $C_2^3\times C_4$ 2O 4B1 $bd$
$D_{10}^2.C_2$ 4B-1 $4$ $25$ $C_2^3\times C_4$ 2O 4B-1 $b^{3}d$
$D_{10}^2.C_2$ 4C1 $4$ $25$ $C_2^3\times C_4$ 2O 4C1 $bc$
$D_{10}^2.C_2$ 4C-1 $4$ $25$ $C_2^3\times C_4$ 2O 4C-1 $b^{3}c$
$D_{10}^2.C_2$ 4D1 $4$ $25$ $C_2^3\times C_4$ 2O 4D1 $ab$
$D_{10}^2.C_2$ 4D-1 $4$ $25$ $C_2^3\times C_4$ 2O 4D-1 $ab^{3}$
$D_{10}^2.C_2$ 4E1 $4$ $25$ $C_2^3\times C_4$ 2O 4E1 $bcd$
$D_{10}^2.C_2$ 4E-1 $4$ $25$ $C_2^3\times C_4$ 2O 4E-1 $b^{3}cd$
$D_{10}^2.C_2$ 4F1 $4$ $25$ $C_2^3\times C_4$ 2O 4F1 $abd$
$D_{10}^2.C_2$ 4F-1 $4$ $25$ $C_2^3\times C_4$ 2O 4F-1 $ab^{3}d$
$D_{10}^2.C_2$ 4G1 $4$ $25$ $C_2^3\times C_4$ 2O 4G1 $abc$
$D_{10}^2.C_2$ 4G-1 $4$ $25$ $C_2^3\times C_4$ 2O 4G-1 $ab^{3}c$
$D_{10}^2.C_2$ 4H1 $4$ $25$ $C_2^3\times C_4$ 2O 4H1 $abcd$
$D_{10}^2.C_2$ 4H-1 $4$ $25$ $C_2^3\times C_4$ 2O 4H-1 $ab^{3}cd$
$D_{10}^2.C_2$ 5A $5$ $4$ $C_{10}\times D_{10}$ 5A 1A $d^{2}$
$D_{10}^2.C_2$ 5B $5$ $4$ $C_{10}\times D_{10}$ 5B 1A $c^{4}$
$D_{10}^2.C_2$ 5C $5$ $8$ $C_{10}^2$ 5C 1A $c^{4}d^{2}$
$D_{10}^2.C_2$ 5D $5$ $8$ $C_{10}^2$ 5D 1A $c^{8}d^{2}$
$D_{10}^2.C_2$ 10A $10$ $4$ $C_{10}\times D_{10}$ 5A 2A $d$
$D_{10}^2.C_2$ 10B $10$ $4$ $C_{10}\times D_{10}$ 5A 2B $ad^{2}$
$D_{10}^2.C_2$ 10C $10$ $4$ $C_{10}\times D_{10}$ 5A 2C $ad$
$D_{10}^2.C_2$ 10D $10$ $4$ $C_{10}\times D_{10}$ 5B 2B $ac^{2}$
$D_{10}^2.C_2$ 10E $10$ $4$ $C_{10}\times D_{10}$ 5B 2A $c^{2}d^{5}$
$D_{10}^2.C_2$ 10F $10$ $4$ $C_{10}\times D_{10}$ 5B 2C $ac^{2}d^{5}$
$D_{10}^2.C_2$ 10G $10$ $8$ $C_{10}^2$ 5C 2A $c^{2}d$
$D_{10}^2.C_2$ 10H $10$ $8$ $C_{10}^2$ 5D 2A $c^{4}d$
$D_{10}^2.C_2$ 10I $10$ $8$ $C_{10}^2$ 5D 2B $ac^{2}d^{2}$
$D_{10}^2.C_2$ 10J $10$ $8$ $C_{10}^2$ 5C 2C $ac^{2}d$
$D_{10}^2.C_2$ 10K $10$ $8$ $C_{10}^2$ 5C 2B $ac^{2}d^{4}$
$D_{10}^2.C_2$ 10L $10$ $8$ $C_{10}^2$ 5D 2C $ac^{4}d$
$D_{10}^2.C_2$ 10M $10$ $20$ $C_2^2\times C_{10}$ 5B 2D $c$
$D_{10}^2.C_2$ 10N $10$ $20$ $C_2^2\times C_{10}$ 5B 2E $cd$
Next   displayed columns for results