↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 81 matches)

Next   displayed columns for results

Elements of the group are displayed as words in the presentation of the abelian group $\langle a, b, c, d \mid a^{3}=b^{3}=c^{3}=d^{3}=1 \rangle$ .

Group Label Order Size Centralizer Powers Representative
3P
$C_3^4$ 1A $1$ $1$ $C_3^4$ 1A $1$
$C_3^4$ 3A1 $3$ $1$ $C_3^4$ 3A-1 $d$
$C_3^4$ 3A-1 $3$ $1$ $C_3^4$ 3A1 $d^{2}$
$C_3^4$ 3B1 $3$ $1$ $C_3^4$ 3B-1 $c$
$C_3^4$ 3B-1 $3$ $1$ $C_3^4$ 3B1 $c^{2}$
$C_3^4$ 3C1 $3$ $1$ $C_3^4$ 3C-1 $b$
$C_3^4$ 3C-1 $3$ $1$ $C_3^4$ 3C1 $b^{2}$
$C_3^4$ 3D1 $3$ $1$ $C_3^4$ 3D-1 $a$
$C_3^4$ 3D-1 $3$ $1$ $C_3^4$ 3D1 $a^{2}$
$C_3^4$ 3E1 $3$ $1$ $C_3^4$ 3E-1 $cd$
$C_3^4$ 3E-1 $3$ $1$ $C_3^4$ 3E1 $c^{2}d^{2}$
$C_3^4$ 3F1 $3$ $1$ $C_3^4$ 3F-1 $bd$
$C_3^4$ 3F-1 $3$ $1$ $C_3^4$ 3F1 $b^{2}d^{2}$
$C_3^4$ 3G1 $3$ $1$ $C_3^4$ 3G-1 $bc$
$C_3^4$ 3G-1 $3$ $1$ $C_3^4$ 3G1 $b^{2}c^{2}$
$C_3^4$ 3H1 $3$ $1$ $C_3^4$ 3H-1 $ad$
$C_3^4$ 3H-1 $3$ $1$ $C_3^4$ 3H1 $a^{2}d^{2}$
$C_3^4$ 3I1 $3$ $1$ $C_3^4$ 3I-1 $ac$
$C_3^4$ 3I-1 $3$ $1$ $C_3^4$ 3I1 $a^{2}c^{2}$
$C_3^4$ 3J1 $3$ $1$ $C_3^4$ 3J-1 $ab$
$C_3^4$ 3J-1 $3$ $1$ $C_3^4$ 3J1 $a^{2}b^{2}$
$C_3^4$ 3K1 $3$ $1$ $C_3^4$ 3K-1 $cd^{2}$
$C_3^4$ 3K-1 $3$ $1$ $C_3^4$ 3K1 $c^{2}d$
$C_3^4$ 3L1 $3$ $1$ $C_3^4$ 3L-1 $bd^{2}$
$C_3^4$ 3L-1 $3$ $1$ $C_3^4$ 3L1 $b^{2}d$
$C_3^4$ 3M1 $3$ $1$ $C_3^4$ 3M-1 $bc^{2}$
$C_3^4$ 3M-1 $3$ $1$ $C_3^4$ 3M1 $b^{2}c$
$C_3^4$ 3N1 $3$ $1$ $C_3^4$ 3N-1 $ad^{2}$
$C_3^4$ 3N-1 $3$ $1$ $C_3^4$ 3N1 $a^{2}d$
$C_3^4$ 3O1 $3$ $1$ $C_3^4$ 3O-1 $ac^{2}$
$C_3^4$ 3O-1 $3$ $1$ $C_3^4$ 3O1 $a^{2}c$
$C_3^4$ 3P1 $3$ $1$ $C_3^4$ 3P-1 $ab^{2}$
$C_3^4$ 3P-1 $3$ $1$ $C_3^4$ 3P1 $a^{2}b$
$C_3^4$ 3Q1 $3$ $1$ $C_3^4$ 3Q-1 $bcd$
$C_3^4$ 3Q-1 $3$ $1$ $C_3^4$ 3Q1 $b^{2}c^{2}d^{2}$
$C_3^4$ 3R1 $3$ $1$ $C_3^4$ 3R-1 $acd$
$C_3^4$ 3R-1 $3$ $1$ $C_3^4$ 3R1 $a^{2}c^{2}d^{2}$
$C_3^4$ 3S1 $3$ $1$ $C_3^4$ 3S-1 $abd$
$C_3^4$ 3S-1 $3$ $1$ $C_3^4$ 3S1 $a^{2}b^{2}d^{2}$
$C_3^4$ 3T1 $3$ $1$ $C_3^4$ 3T-1 $abc$
$C_3^4$ 3T-1 $3$ $1$ $C_3^4$ 3T1 $a^{2}b^{2}c^{2}$
$C_3^4$ 3U1 $3$ $1$ $C_3^4$ 3U-1 $bcd^{2}$
$C_3^4$ 3U-1 $3$ $1$ $C_3^4$ 3U1 $b^{2}c^{2}d$
$C_3^4$ 3V1 $3$ $1$ $C_3^4$ 3V-1 $bc^{2}d$
$C_3^4$ 3V-1 $3$ $1$ $C_3^4$ 3V1 $b^{2}cd^{2}$
$C_3^4$ 3W1 $3$ $1$ $C_3^4$ 3W-1 $b^{2}cd$
$C_3^4$ 3W-1 $3$ $1$ $C_3^4$ 3W1 $bc^{2}d^{2}$
$C_3^4$ 3X1 $3$ $1$ $C_3^4$ 3X-1 $acd^{2}$
$C_3^4$ 3X-1 $3$ $1$ $C_3^4$ 3X1 $a^{2}c^{2}d$
$C_3^4$ 3Y1 $3$ $1$ $C_3^4$ 3Y-1 $ac^{2}d$
Next   displayed columns for results