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Results (16 matches)

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Label Name Order Exponent $\card{\mathrm{conj}(G)}$ Center Central quotient Commutator Abelianization Type - length
1728.177 $C_{27}\times D_{32}$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3^{3}$ 513 $C_{54}$ $D_{16}$ $C_{16}$ $C_{2} \times C_{54}$ Nilpotent - 5
1728.178 $C_{27}\times \SD_{64}$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3^{3}$ 513 $C_{54}$ $D_{16}$ $C_{16}$ $C_{2} \times C_{54}$ Nilpotent - 5
1728.179 $C_{27}\times Q_{64}$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3^{3}$ 513 $C_{54}$ $D_{16}$ $C_{16}$ $C_{2} \times C_{54}$ Nilpotent - 5
1728.2177 $C_{288}:C_6$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3^{2}$ 513 $C_3\times C_{18}$ $D_{16}$ $C_{16}$ $C_{6} \times C_{18}$ Nilpotent - 5
1728.2178 $\He_3\times D_{32}$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3$ 209 $C_6$ $C_3^2\times D_{16}$ $C_{48}$ $C_{6}^{2}$ Nilpotent - 5
1728.2179 $C_{288}:C_6$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3^{2}$ 209 $C_6$ $C_3^2\times D_{16}$ $C_{48}$ $C_{6}^{2}$ Nilpotent - 5
1728.2180 $C_{288}:C_6$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3^{2}$ 513 $C_3\times C_{18}$ $D_{16}$ $C_{16}$ $C_{6} \times C_{18}$ Nilpotent - 5
1728.2181 $\He_3\times \SD_{64}$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3$ 209 $C_6$ $C_3^2\times D_{16}$ $C_{48}$ $C_{6}^{2}$ Nilpotent - 5
1728.2182 $C_{288}:C_6$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3^{2}$ 209 $C_6$ $C_3^2\times D_{16}$ $C_{48}$ $C_{6}^{2}$ Nilpotent - 5
1728.2183 $C_{288}.C_6$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3^{2}$ 513 $C_3\times C_{18}$ $D_{16}$ $C_{16}$ $C_{6} \times C_{18}$ Nilpotent - 5
1728.2184 $\He_3\times Q_{64}$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3$ 209 $C_6$ $C_3^2\times D_{16}$ $C_{48}$ $C_{6}^{2}$ Nilpotent - 5
1728.2185 $C_{288}.C_6$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3^{2}$ 209 $C_6$ $C_3^2\times D_{16}$ $C_{48}$ $C_{6}^{2}$ Nilpotent - 5
1728.12227 $C_3^3\times D_{32}$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3$ 513 $C_3^2\times C_6$ $D_{16}$ $C_{16}$ $C_{3} \times C_{6}^{2}$ Nilpotent - 5
1728.12228 $C_3^3\times \SD_{64}$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3$ 513 $C_3^2\times C_6$ $D_{16}$ $C_{16}$ $C_{3} \times C_{6}^{2}$ Nilpotent - 5
1728.12229 $C_3^3\times Q_{64}$ $2^{6} \cdot 3^{3}$ $2^{5} \cdot 3$ 513 $C_3^2\times C_6$ $D_{16}$ $C_{16}$ $C_{3} \times C_{6}^{2}$ Nilpotent - 5
13824.l $D_{16}.C_{432}$ $2^{9} \cdot 3^{3}$ $2^{5} \cdot 3^{3}$ 4104 $C_{432}$ $D_{16}$ $C_{16}$ $C_{2} \times C_{432}$ Nilpotent - 5
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