↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 52 matches)

Next   displayed columns for results

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

Group Label Order Size Centralizer Powers Representative
2P 5P
$C_2^3.D_{10}$ 1A $1$ $1$ $C_2^3.D_{10}$ 1A 1A $1$
$C_2^3.D_{10}$ 2A $2$ $1$ $C_2^3.D_{10}$ 1A 2A $b^{2}$
$C_2^3.D_{10}$ 2B $2$ $1$ $C_2^3.D_{10}$ 1A 2B $b^{2}c$
$C_2^3.D_{10}$ 2C $2$ $1$ $C_2^3.D_{10}$ 1A 2C $c$
$C_2^3.D_{10}$ 2D $2$ $1$ $C_2^3.D_{10}$ 1A 2D $a$
$C_2^3.D_{10}$ 2E $2$ $1$ $C_2^3.D_{10}$ 1A 2E $ac$
$C_2^3.D_{10}$ 2F $2$ $1$ $C_2^3.D_{10}$ 1A 2F $ab^{2}$
$C_2^3.D_{10}$ 2G $2$ $1$ $C_2^3.D_{10}$ 1A 2G $ab^{2}c$
$C_2^3.D_{10}$ 2H $2$ $2$ $C_2^3\times C_{10}$ 1A 2H $d^{5}$
$C_2^3.D_{10}$ 2I $2$ $2$ $C_2^3\times C_{10}$ 1A 2I $b^{2}d^{5}$
$C_2^3.D_{10}$ 2J $2$ $2$ $C_2^3\times C_{10}$ 1A 2J $ad^{5}$
$C_2^3.D_{10}$ 2K $2$ $2$ $C_2^3\times C_{10}$ 1A 2K $ab^{2}d^{5}$
$C_2^3.D_{10}$ 4A1 $4$ $10$ $C_2^2\times C_4$ 2A 4A1 $b$
$C_2^3.D_{10}$ 4A-1 $4$ $10$ $C_2^2\times C_4$ 2A 4A-1 $b^{3}$
$C_2^3.D_{10}$ 4B1 $4$ $10$ $C_2^2\times C_4$ 2B 4B1 $bd$
$C_2^3.D_{10}$ 4B-1 $4$ $10$ $C_2^2\times C_4$ 2B 4B-1 $b^{3}d$
$C_2^3.D_{10}$ 4C1 $4$ $10$ $C_2^2\times C_4$ 2A 4C1 $ab$
$C_2^3.D_{10}$ 4C-1 $4$ $10$ $C_2^2\times C_4$ 2A 4C-1 $ab^{3}$
$C_2^3.D_{10}$ 4D1 $4$ $10$ $C_2^2\times C_4$ 2B 4D1 $abd$
$C_2^3.D_{10}$ 4D-1 $4$ $10$ $C_2^2\times C_4$ 2B 4D-1 $ab^{3}d$
$C_2^3.D_{10}$ 5A1 $5$ $2$ $C_2^3\times C_{10}$ 5A2 1A $d^{4}$
$C_2^3.D_{10}$ 5A2 $5$ $2$ $C_2^3\times C_{10}$ 5A1 1A $d^{8}$
$C_2^3.D_{10}$ 10A1 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2C $cd^{2}$
$C_2^3.D_{10}$ 10A3 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2C $cd^{4}$
$C_2^3.D_{10}$ 10B1 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2A $b^{2}d^{2}$
$C_2^3.D_{10}$ 10B3 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2A $b^{2}d^{4}$
$C_2^3.D_{10}$ 10C1 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2D $ad^{2}$
$C_2^3.D_{10}$ 10C3 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2D $ad^{4}$
$C_2^3.D_{10}$ 10D1 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2B $b^{2}cd^{2}$
$C_2^3.D_{10}$ 10D3 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2B $b^{2}cd^{4}$
$C_2^3.D_{10}$ 10E1 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2E $acd^{2}$
$C_2^3.D_{10}$ 10E3 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2E $acd^{4}$
$C_2^3.D_{10}$ 10F1 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2F $ab^{2}d^{2}$
$C_2^3.D_{10}$ 10F3 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2F $ab^{2}d^{4}$
$C_2^3.D_{10}$ 10G1 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2G $ab^{2}cd^{2}$
$C_2^3.D_{10}$ 10G3 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2G $ab^{2}cd^{4}$
$C_2^3.D_{10}$ 10H1 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2H $d$
$C_2^3.D_{10}$ 10H-1 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2H $cd$
$C_2^3.D_{10}$ 10H3 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2H $d^{3}$
$C_2^3.D_{10}$ 10H-3 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2H $d^{7}$
$C_2^3.D_{10}$ 10I1 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2I $b^{2}d$
$C_2^3.D_{10}$ 10I-1 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2I $b^{2}cd$
$C_2^3.D_{10}$ 10I3 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2I $b^{2}d^{3}$
$C_2^3.D_{10}$ 10I-3 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2I $b^{2}d^{7}$
$C_2^3.D_{10}$ 10J1 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2J $ad$
$C_2^3.D_{10}$ 10J-1 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2J $acd$
$C_2^3.D_{10}$ 10J3 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2J $ad^{3}$
$C_2^3.D_{10}$ 10J-3 $10$ $2$ $C_2^3\times C_{10}$ 5A1 2J $ad^{7}$
$C_2^3.D_{10}$ 10K1 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2K $ab^{2}d$
$C_2^3.D_{10}$ 10K-1 $10$ $2$ $C_2^3\times C_{10}$ 5A2 2K $ab^{2}cd$
Next   displayed columns for results