↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 140 matches)

Next   displayed columns for results

Elements of the group are displayed as words in the presentation $\langle a, b \mid a^{5}=b^{220}=1, b^{a}=b^{81} \rangle$ .

Group Label Order Size Centralizer Powers Representative
2P 5P 11P
$C_{220}:C_5$ 1A $1$ $1$ $C_{220}:C_5$ 1A 1A 1A $1$
$C_{220}:C_5$ 2A $2$ $1$ $C_{220}:C_5$ 1A 2A 2A $b^{110}$
$C_{220}:C_5$ 4A1 $4$ $1$ $C_{220}:C_5$ 2A 4A1 4A-1 $b^{165}$
$C_{220}:C_5$ 4A-1 $4$ $1$ $C_{220}:C_5$ 2A 4A-1 4A1 $b^{55}$
$C_{220}:C_5$ 5A1 $5$ $1$ $C_{220}:C_5$ 5A2 1A 5A1 $b^{44}$
$C_{220}:C_5$ 5A-1 $5$ $1$ $C_{220}:C_5$ 5A-2 1A 5A-1 $b^{176}$
$C_{220}:C_5$ 5A2 $5$ $1$ $C_{220}:C_5$ 5A-1 1A 5A2 $b^{88}$
$C_{220}:C_5$ 5A-2 $5$ $1$ $C_{220}:C_5$ 5A1 1A 5A-2 $b^{132}$
$C_{220}:C_5$ 5B1 $5$ $11$ $C_5\times C_{20}$ 5B2 1A 5B1 $a^{4}b^{184}$
$C_{220}:C_5$ 5B-1 $5$ $11$ $C_5\times C_{20}$ 5B-2 1A 5B-1 $ab^{56}$
$C_{220}:C_5$ 5B2 $5$ $11$ $C_5\times C_{20}$ 5B-1 1A 5B2 $a^{3}b^{208}$
$C_{220}:C_5$ 5B-2 $5$ $11$ $C_5\times C_{20}$ 5B1 1A 5B-2 $a^{2}b^{192}$
$C_{220}:C_5$ 5C1 $5$ $11$ $C_5\times C_{20}$ 5C2 1A 5C1 $a^{3}b^{24}$
$C_{220}:C_5$ 5C-1 $5$ $11$ $C_5\times C_{20}$ 5C-2 1A 5C-1 $a^{2}b^{56}$
$C_{220}:C_5$ 5C2 $5$ $11$ $C_5\times C_{20}$ 5C-1 1A 5C2 $ab^{108}$
$C_{220}:C_5$ 5C-2 $5$ $11$ $C_5\times C_{20}$ 5C1 1A 5C-2 $a^{4}b^{72}$
$C_{220}:C_5$ 5D1 $5$ $11$ $C_5\times C_{20}$ 5D2 1A 5D1 $a^{2}b^{204}$
$C_{220}:C_5$ 5D-1 $5$ $11$ $C_5\times C_{20}$ 5D-2 1A 5D-1 $a^{3}b^{56}$
$C_{220}:C_5$ 5D2 $5$ $11$ $C_5\times C_{20}$ 5D-1 1A 5D2 $a^{4}b^{168}$
$C_{220}:C_5$ 5D-2 $5$ $11$ $C_5\times C_{20}$ 5D1 1A 5D-2 $ab^{32}$
$C_{220}:C_5$ 5E1 $5$ $11$ $C_5\times C_{20}$ 5E2 1A 5E1 $ab^{84}$
$C_{220}:C_5$ 5E-1 $5$ $11$ $C_5\times C_{20}$ 5E-2 1A 5E-1 $a^{4}b^{56}$
$C_{220}:C_5$ 5E2 $5$ $11$ $C_5\times C_{20}$ 5E-1 1A 5E2 $a^{2}b^{68}$
$C_{220}:C_5$ 5E-2 $5$ $11$ $C_5\times C_{20}$ 5E1 1A 5E-2 $a^{3}b^{92}$
$C_{220}:C_5$ 5F1 $5$ $11$ $C_5\times C_{20}$ 5F2 1A 5F1 $a^{4}b^{40}$
$C_{220}:C_5$ 5F-1 $5$ $11$ $C_5\times C_{20}$ 5F-2 1A 5F-1 $ab^{60}$
$C_{220}:C_5$ 5F2 $5$ $11$ $C_5\times C_{20}$ 5F-1 1A 5F2 $a^{3}b^{160}$
$C_{220}:C_5$ 5F-2 $5$ $11$ $C_5\times C_{20}$ 5F1 1A 5F-2 $a^{2}b^{80}$
$C_{220}:C_5$ 10A1 $10$ $1$ $C_{220}:C_5$ 5A1 2A 10A1 $b^{22}$
$C_{220}:C_5$ 10A-1 $10$ $1$ $C_{220}:C_5$ 5A-1 2A 10A-1 $b^{198}$
$C_{220}:C_5$ 10A3 $10$ $1$ $C_{220}:C_5$ 5A-2 2A 10A3 $b^{66}$
$C_{220}:C_5$ 10A-3 $10$ $1$ $C_{220}:C_5$ 5A2 2A 10A-3 $b^{154}$
$C_{220}:C_5$ 10B1 $10$ $11$ $C_5\times C_{20}$ 5B1 2A 10B1 $a^{2}b^{82}$
$C_{220}:C_5$ 10B-1 $10$ $11$ $C_5\times C_{20}$ 5B-1 2A 10B-1 $a^{3}b^{98}$
$C_{220}:C_5$ 10B3 $10$ $11$ $C_5\times C_{20}$ 5B-2 2A 10B3 $ab^{166}$
$C_{220}:C_5$ 10B-3 $10$ $11$ $C_5\times C_{20}$ 5B2 2A 10B-3 $a^{4}b^{74}$
$C_{220}:C_5$ 10C1 $10$ $11$ $C_5\times C_{20}$ 5C1 2A 10C1 $a^{4}b^{182}$
$C_{220}:C_5$ 10C-1 $10$ $11$ $C_5\times C_{20}$ 5C-1 2A 10C-1 $ab^{218}$
$C_{220}:C_5$ 10C3 $10$ $11$ $C_5\times C_{20}$ 5C-2 2A 10C3 $a^{2}b^{166}$
$C_{220}:C_5$ 10C-3 $10$ $11$ $C_5\times C_{20}$ 5C2 2A 10C-3 $a^{3}b^{134}$
$C_{220}:C_5$ 10D1 $10$ $11$ $C_5\times C_{20}$ 5D1 2A 10D1 $ab^{142}$
$C_{220}:C_5$ 10D-1 $10$ $11$ $C_5\times C_{20}$ 5D-1 2A 10D-1 $a^{4}b^{58}$
$C_{220}:C_5$ 10D3 $10$ $11$ $C_5\times C_{20}$ 5D-2 2A 10D3 $a^{3}b^{166}$
$C_{220}:C_5$ 10D-3 $10$ $11$ $C_5\times C_{20}$ 5D2 2A 10D-3 $a^{2}b^{94}$
$C_{220}:C_5$ 10E1 $10$ $11$ $C_5\times C_{20}$ 5E1 2A 10E1 $a^{3}b^{202}$
$C_{220}:C_5$ 10E-1 $10$ $11$ $C_5\times C_{20}$ 5E-1 2A 10E-1 $a^{2}b^{178}$
$C_{220}:C_5$ 10E3 $10$ $11$ $C_5\times C_{20}$ 5E-2 2A 10E3 $a^{4}b^{166}$
$C_{220}:C_5$ 10E-3 $10$ $11$ $C_5\times C_{20}$ 5E2 2A 10E-3 $ab^{194}$
$C_{220}:C_5$ 10F1 $10$ $11$ $C_5\times C_{20}$ 5F1 2A 10F1 $a^{2}b^{190}$
$C_{220}:C_5$ 10F-1 $10$ $11$ $C_5\times C_{20}$ 5F-1 2A 10F-1 $a^{3}b^{50}$
Next   displayed columns for results