↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 384 matches)

Next   displayed columns for results

Elements of the group are displayed as words in the presentation of the abelian group $\langle a, b, c \mid a^{2}=b^{4}=c^{48}=1 \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 3P
$C_2\times C_4\times C_{48}$ 1A $1$ $1$ $C_2\times C_4\times C_{48}$ 1A 1A $1$
$C_2\times C_4\times C_{48}$ 2A $2$ $1$ $C_2\times C_4\times C_{48}$ 1A 2A $a$
$C_2\times C_4\times C_{48}$ 2B $2$ $1$ $C_2\times C_4\times C_{48}$ 1A 2B $ac^{24}$
$C_2\times C_4\times C_{48}$ 2C $2$ $1$ $C_2\times C_4\times C_{48}$ 1A 2C $ab^{2}$
$C_2\times C_4\times C_{48}$ 2D $2$ $1$ $C_2\times C_4\times C_{48}$ 1A 2D $ab^{2}c^{24}$
$C_2\times C_4\times C_{48}$ 2E $2$ $1$ $C_2\times C_4\times C_{48}$ 1A 2E $b^{2}$
$C_2\times C_4\times C_{48}$ 2F $2$ $1$ $C_2\times C_4\times C_{48}$ 1A 2F $b^{2}c^{24}$
$C_2\times C_4\times C_{48}$ 2G $2$ $1$ $C_2\times C_4\times C_{48}$ 1A 2G $c^{24}$
$C_2\times C_4\times C_{48}$ 3A1 $3$ $1$ $C_2\times C_4\times C_{48}$ 3A-1 1A $c^{32}$
$C_2\times C_4\times C_{48}$ 3A-1 $3$ $1$ $C_2\times C_4\times C_{48}$ 3A1 1A $c^{16}$
$C_2\times C_4\times C_{48}$ 4A1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2E 4A-1 $b^{3}$
$C_2\times C_4\times C_{48}$ 4A-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2E 4A1 $b$
$C_2\times C_4\times C_{48}$ 4B1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2E 4B-1 $b^{3}c^{24}$
$C_2\times C_4\times C_{48}$ 4B-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2E 4B1 $bc^{24}$
$C_2\times C_4\times C_{48}$ 4C1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2F 4C-1 $b^{3}c^{12}$
$C_2\times C_4\times C_{48}$ 4C-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2F 4C1 $bc^{36}$
$C_2\times C_4\times C_{48}$ 4D1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2G 4D-1 $ac^{12}$
$C_2\times C_4\times C_{48}$ 4D-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2G 4D1 $ac^{36}$
$C_2\times C_4\times C_{48}$ 4E1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2F 4E-1 $bc^{12}$
$C_2\times C_4\times C_{48}$ 4E-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2F 4E1 $b^{3}c^{36}$
$C_2\times C_4\times C_{48}$ 4F1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2G 4F-1 $ab^{2}c^{12}$
$C_2\times C_4\times C_{48}$ 4F-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2G 4F1 $ab^{2}c^{36}$
$C_2\times C_4\times C_{48}$ 4G1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2E 4G-1 $ab^{3}$
$C_2\times C_4\times C_{48}$ 4G-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2E 4G1 $ab$
$C_2\times C_4\times C_{48}$ 4H1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2E 4H-1 $ab^{3}c^{24}$
$C_2\times C_4\times C_{48}$ 4H-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2E 4H1 $abc^{24}$
$C_2\times C_4\times C_{48}$ 4I1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2F 4I-1 $ab^{3}c^{12}$
$C_2\times C_4\times C_{48}$ 4I-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2F 4I1 $abc^{36}$
$C_2\times C_4\times C_{48}$ 4J1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2F 4J-1 $abc^{12}$
$C_2\times C_4\times C_{48}$ 4J-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2F 4J1 $ab^{3}c^{36}$
$C_2\times C_4\times C_{48}$ 4K1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2G 4K-1 $b^{2}c^{12}$
$C_2\times C_4\times C_{48}$ 4K-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2G 4K1 $b^{2}c^{36}$
$C_2\times C_4\times C_{48}$ 4L1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2G 4L-1 $c^{12}$
$C_2\times C_4\times C_{48}$ 4L-1 $4$ $1$ $C_2\times C_4\times C_{48}$ 2G 4L1 $c^{36}$
$C_2\times C_4\times C_{48}$ 6A1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A1 2A $ac^{16}$
$C_2\times C_4\times C_{48}$ 6A-1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A-1 2A $ac^{32}$
$C_2\times C_4\times C_{48}$ 6B1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A-1 2B $ac^{8}$
$C_2\times C_4\times C_{48}$ 6B-1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A1 2B $ac^{40}$
$C_2\times C_4\times C_{48}$ 6C1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A1 2C $ab^{2}c^{16}$
$C_2\times C_4\times C_{48}$ 6C-1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A-1 2C $ab^{2}c^{32}$
$C_2\times C_4\times C_{48}$ 6D1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A-1 2D $ab^{2}c^{8}$
$C_2\times C_4\times C_{48}$ 6D-1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A1 2D $ab^{2}c^{40}$
$C_2\times C_4\times C_{48}$ 6E1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A-1 2E $b^{2}c^{32}$
$C_2\times C_4\times C_{48}$ 6E-1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A1 2E $b^{2}c^{16}$
$C_2\times C_4\times C_{48}$ 6F1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A-1 2F $b^{2}c^{8}$
$C_2\times C_4\times C_{48}$ 6F-1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A1 2F $b^{2}c^{40}$
$C_2\times C_4\times C_{48}$ 6G1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A-1 2G $c^{8}$
$C_2\times C_4\times C_{48}$ 6G-1 $6$ $1$ $C_2\times C_4\times C_{48}$ 3A1 2G $c^{40}$
$C_2\times C_4\times C_{48}$ 8A1 $8$ $1$ $C_2\times C_4\times C_{48}$ 4K1 8A3 $b^{3}c^{6}$
$C_2\times C_4\times C_{48}$ 8A-1 $8$ $1$ $C_2\times C_4\times C_{48}$ 4K-1 8A-3 $bc^{42}$
Next   displayed columns for results