↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 400 matches)

Next   displayed columns for results

Elements of the group are displayed as words in the presentation $\langle a, b, c \mid a^{8}=b^{10}=c^{20}=[a,b]=1, c^{a}=c^{9}, c^{b}=c^{11} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P
$C_{20}^2.C_2^2$ 1A $1$ $1$ $C_{20}^2.C_2^2$ 1A 1A $1$
$C_{20}^2.C_2^2$ 2A $2$ $1$ $C_{20}^2.C_2^2$ 1A 2A $a^{4}$
$C_{20}^2.C_2^2$ 2B $2$ $1$ $C_{20}^2.C_2^2$ 1A 2B $c^{10}$
$C_{20}^2.C_2^2$ 2C $2$ $1$ $C_{20}^2.C_2^2$ 1A 2C $a^{4}c^{10}$
$C_{20}^2.C_2^2$ 2D $2$ $2$ $C_{10}^2:C_8$ 1A 2D $b^{5}$
$C_{20}^2.C_2^2$ 2E $2$ $2$ $C_{10}^2:C_8$ 1A 2E $a^{4}b^{5}$
$C_{20}^2.C_2^2$ 2F $2$ $2$ $C_{10}^2:C_8$ 1A 2F $b^{5}c^{5}$
$C_{20}^2.C_2^2$ 2G $2$ $2$ $C_{10}^2:C_8$ 1A 2G $a^{4}b^{5}c^{5}$
$C_{20}^2.C_2^2$ 4A1 $4$ $1$ $C_{20}^2.C_2^2$ 2A 4A1 $a^{2}$
$C_{20}^2.C_2^2$ 4A-1 $4$ $1$ $C_{20}^2.C_2^2$ 2A 4A-1 $a^{6}$
$C_{20}^2.C_2^2$ 4B1 $4$ $1$ $C_{20}^2.C_2^2$ 2A 4B1 $a^{2}c^{10}$
$C_{20}^2.C_2^2$ 4B-1 $4$ $1$ $C_{20}^2.C_2^2$ 2A 4B-1 $a^{6}c^{10}$
$C_{20}^2.C_2^2$ 4C $4$ $2$ $C_{20}:C_{40}$ 2B 4C $c^{5}$
$C_{20}^2.C_2^2$ 4D $4$ $2$ $C_{20}:C_{40}$ 2B 4D $a^{4}c^{5}$
$C_{20}^2.C_2^2$ 4E1 $4$ $2$ $C_{10}^2:C_8$ 2A 4E1 $a^{2}b^{5}$
$C_{20}^2.C_2^2$ 4E-1 $4$ $2$ $C_{10}^2:C_8$ 2A 4E-1 $a^{6}b^{5}$
$C_{20}^2.C_2^2$ 4F1 $4$ $2$ $C_{20}:C_{40}$ 2C 4F1 $a^{2}c^{5}$
$C_{20}^2.C_2^2$ 4F-1 $4$ $2$ $C_{20}:C_{40}$ 2C 4F-1 $a^{6}c^{15}$
$C_{20}^2.C_2^2$ 4G1 $4$ $2$ $C_{10}^2:C_8$ 2A 4G1 $a^{2}b^{5}c^{5}$
$C_{20}^2.C_2^2$ 4G-1 $4$ $2$ $C_{10}^2:C_8$ 2A 4G-1 $a^{6}b^{5}c^{5}$
$C_{20}^2.C_2^2$ 5A1 $5$ $1$ $C_{20}^2.C_2^2$ 5A2 1A $b^{2}$
$C_{20}^2.C_2^2$ 5A-1 $5$ $1$ $C_{20}^2.C_2^2$ 5A-2 1A $b^{8}$
$C_{20}^2.C_2^2$ 5A2 $5$ $1$ $C_{20}^2.C_2^2$ 5A-1 1A $b^{4}$
$C_{20}^2.C_2^2$ 5A-2 $5$ $1$ $C_{20}^2.C_2^2$ 5A1 1A $b^{6}$
$C_{20}^2.C_2^2$ 5B1 $5$ $2$ $C_{20}^2:C_2$ 5B2 1A $c^{8}$
$C_{20}^2.C_2^2$ 5B2 $5$ $2$ $C_{20}^2:C_2$ 5B1 1A $c^{16}$
$C_{20}^2.C_2^2$ 5C1 $5$ $2$ $C_{20}^2:C_2$ 5C2 1A $b^{2}c^{8}$
$C_{20}^2.C_2^2$ 5C-1 $5$ $2$ $C_{20}^2:C_2$ 5C-2 1A $b^{8}c^{12}$
$C_{20}^2.C_2^2$ 5C2 $5$ $2$ $C_{20}^2:C_2$ 5C-1 1A $b^{4}c^{16}$
$C_{20}^2.C_2^2$ 5C-2 $5$ $2$ $C_{20}^2:C_2$ 5C1 1A $b^{6}c^{4}$
$C_{20}^2.C_2^2$ 5D1 $5$ $2$ $C_{20}^2:C_2$ 5D2 1A $b^{2}c^{4}$
$C_{20}^2.C_2^2$ 5D-1 $5$ $2$ $C_{20}^2:C_2$ 5D-2 1A $b^{8}c^{16}$
$C_{20}^2.C_2^2$ 5D2 $5$ $2$ $C_{20}^2:C_2$ 5D-1 1A $b^{4}c^{8}$
$C_{20}^2.C_2^2$ 5D-2 $5$ $2$ $C_{20}^2:C_2$ 5D1 1A $b^{6}c^{12}$
$C_{20}^2.C_2^2$ 8A1 $8$ $5$ $D_4\times C_{40}$ 4A1 8A-3 $a^{5}$
$C_{20}^2.C_2^2$ 8A-1 $8$ $5$ $D_4\times C_{40}$ 4A-1 8A3 $a^{3}$
$C_{20}^2.C_2^2$ 8A3 $8$ $5$ $D_4\times C_{40}$ 4A-1 8A-1 $a^{7}$
$C_{20}^2.C_2^2$ 8A-3 $8$ $5$ $D_4\times C_{40}$ 4A1 8A1 $a$
$C_{20}^2.C_2^2$ 8B1 $8$ $5$ $D_4\times C_{40}$ 4A1 8B-3 $a^{5}c^{2}$
$C_{20}^2.C_2^2$ 8B-1 $8$ $5$ $D_4\times C_{40}$ 4A-1 8B3 $a^{3}c^{2}$
$C_{20}^2.C_2^2$ 8B3 $8$ $5$ $D_4\times C_{40}$ 4A-1 8B-1 $a^{7}c^{2}$
$C_{20}^2.C_2^2$ 8B-3 $8$ $5$ $D_4\times C_{40}$ 4A1 8B1 $ac^{2}$
$C_{20}^2.C_2^2$ 8C1 $8$ $10$ $C_2^2\times C_{40}$ 4A1 8C-3 $a^{5}b^{5}$
$C_{20}^2.C_2^2$ 8C-1 $8$ $10$ $C_2^2\times C_{40}$ 4A-1 8C3 $a^{3}b^{5}$
$C_{20}^2.C_2^2$ 8C3 $8$ $10$ $C_2^2\times C_{40}$ 4A-1 8C-1 $a^{7}b^{5}$
$C_{20}^2.C_2^2$ 8C-3 $8$ $10$ $C_2^2\times C_{40}$ 4A1 8C1 $ab^{5}$
$C_{20}^2.C_2^2$ 8D1 $8$ $10$ $C_4\times C_{40}$ 4B1 8D-3 $a^{5}c$
$C_{20}^2.C_2^2$ 8D-1 $8$ $10$ $C_4\times C_{40}$ 4B-1 8D3 $a^{3}c^{11}$
$C_{20}^2.C_2^2$ 8D3 $8$ $10$ $C_4\times C_{40}$ 4B-1 8D-1 $a^{7}c^{11}$
$C_{20}^2.C_2^2$ 8D-3 $8$ $10$ $C_4\times C_{40}$ 4B1 8D1 $ac$
Next   displayed columns for results