↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (23 matches)

  displayed columns for results

Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{22}=b^{23}=1, b^{a}=b^{21} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 11P 23P
$F_{23}$ 1A $1$ $1$ $F_{23}$ 1A 1A 1A $1$
$F_{23}$ 2A $2$ $23$ $C_{22}$ 1A 2A 2A $a^{11}b^{14}$
$F_{23}$ 11A1 $11$ $23$ $C_{22}$ 11A2 11A5 1A $a^{14}b^{20}$
$F_{23}$ 11A-1 $11$ $23$ $C_{22}$ 11A-2 11A-5 1A $a^{8}b^{9}$
$F_{23}$ 11A2 $11$ $23$ $C_{22}$ 11A4 11A-1 1A $a^{6}b^{19}$
$F_{23}$ 11A-2 $11$ $23$ $C_{22}$ 11A-4 11A1 1A $a^{16}b^{13}$
$F_{23}$ 11A3 $11$ $23$ $C_{22}$ 11A-5 11A4 1A $a^{20}b^{11}$
$F_{23}$ 11A-3 $11$ $23$ $C_{22}$ 11A5 11A-4 1A $a^{2}b^{2}$
$F_{23}$ 11A4 $11$ $23$ $C_{22}$ 11A-3 11A-2 1A $a^{12}b^{16}$
$F_{23}$ 11A-4 $11$ $23$ $C_{22}$ 11A3 11A2 1A $a^{10}b^{15}$
$F_{23}$ 11A5 $11$ $23$ $C_{22}$ 11A-1 11A3 1A $a^{4}b^{10}$
$F_{23}$ 11A-5 $11$ $23$ $C_{22}$ 11A1 11A-3 1A $a^{18}b^{8}$
$F_{23}$ 22A1 $22$ $23$ $C_{22}$ 11A1 22A5 2A $a^{7}b^{6}$
$F_{23}$ 22A-1 $22$ $23$ $C_{22}$ 11A-1 22A-5 2A $a^{15}b^{4}$
$F_{23}$ 22A3 $22$ $23$ $C_{22}$ 11A3 22A-7 2A $a^{21}b^{22}$
$F_{23}$ 22A-3 $22$ $23$ $C_{22}$ 11A-3 22A7 2A $ab^{21}$
$F_{23}$ 22A5 $22$ $23$ $C_{22}$ 11A5 22A3 2A $a^{13}b^{12}$
$F_{23}$ 22A-5 $22$ $23$ $C_{22}$ 11A-5 22A-3 2A $a^{9}b^{3}$
$F_{23}$ 22A7 $22$ $23$ $C_{22}$ 11A-4 22A-9 2A $a^{5}b$
$F_{23}$ 22A-7 $22$ $23$ $C_{22}$ 11A4 22A9 2A $a^{17}b^{18}$
$F_{23}$ 22A9 $22$ $23$ $C_{22}$ 11A-2 22A1 2A $a^{19}b^{5}$
$F_{23}$ 22A-9 $22$ $23$ $C_{22}$ 11A2 22A-1 2A $a^{3}b^{17}$
$F_{23}$ 23A $23$ $22$ $C_{23}$ 23A 23A 23A $b$
  displayed columns for results