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Label Subgroup Ambient Quotient
Name Order Sylow norm char max cent ab Name Order Name Size max ab
160.16.1.a1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{20}:C_4$ $2^{5} \cdot 5$ $C_1$ $1$
320.387.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_8).D_{10}$ $2^{6} \cdot 5$ $C_2$ $2$
320.389.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_8).D_{10}$ $2^{6} \cdot 5$ $C_2$ $2$
320.391.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_8).D_{10}$ $2^{6} \cdot 5$ $C_2$ $2$
320.396.2.f1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{10}.D_8$ $2^{6} \cdot 5$ $C_2$ $2$
320.397.2.f1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_8):D_{10}$ $2^{6} \cdot 5$ $C_2$ $2$
320.400.2.g1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_4:D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.403.2.f1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{10}:\SD_{16}$ $2^{6} \cdot 5$ $C_2$ $2$
320.413.2.f1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{20}:D_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.422.2.b1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_8).D_{10}$ $2^{6} \cdot 5$ $C_2$ $2$
320.425.2.a1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_8).D_{10}$ $2^{6} \cdot 5$ $C_2$ $2$
320.427.2.b1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_8).D_{10}$ $2^{6} \cdot 5$ $C_2$ $2$
320.430.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{20}:(C_2\times C_4)$ $2^{6} \cdot 5$ $C_2$ $2$
320.431.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_8\times D_{10}):C_2$ $2^{6} \cdot 5$ $C_2$ $2$
320.437.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $Q_8.D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.438.2.e1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $Q_8:D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.446.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{20}.D_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.479.2.a1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_{40}:(C_2\times C_4)$ $2^{6} \cdot 5$ $C_2$ $2$
320.490.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{10}.\SD_{16}$ $2^{6} \cdot 5$ $C_2$ $2$
320.491.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_8:D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.492.2.c1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_8:D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.492.2.c1.b1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_8:D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.493.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_8).D_{10}$ $2^{6} \cdot 5$ $C_2$ $2$
320.496.2.b1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{40}:C_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.496.2.b1.b1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{40}:C_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.497.2.b1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{20}:Q_8$ $2^{6} \cdot 5$ $C_2$ $2$
320.498.2.b1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{20}.Q_8$ $2^{6} \cdot 5$ $C_2$ $2$
320.499.2.b1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{40}:C_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.499.2.b1.b1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{40}:C_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.509.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{10}.D_8$ $2^{6} \cdot 5$ $C_2$ $2$
320.510.2.c1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_8:D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.510.2.c1.b1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_8:D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.512.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_8).D_{10}$ $2^{6} \cdot 5$ $C_2$ $2$
320.513.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_8:D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.516.2.b1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_{40}:(C_2\times C_4)$ $2^{6} \cdot 5$ $C_2$ $2$
320.517.2.b1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{20}:Q_8$ $2^{6} \cdot 5$ $C_2$ $2$
320.518.2.b1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{20}.Q_8$ $2^{6} \cdot 5$ $C_2$ $2$
320.592.2.d1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_2\times D_{20}:C_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.593.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{20}:(C_2\times C_4)$ $2^{6} \cdot 5$ $C_2$ $2$
320.593.2.d1.b1 $D_{20}:C_4$ $2^{5} \cdot 5$ $D_{20}:(C_2\times C_4)$ $2^{6} \cdot 5$ $C_2$ $2$
320.594.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_{10}.(C_2\times D_8)$ $2^{6} \cdot 5$ $C_2$ $2$
320.594.2.d1.b1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_{10}.(C_2\times D_8)$ $2^{6} \cdot 5$ $C_2$ $2$
320.595.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_{20}).D_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.595.2.d1.b1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_{20}).D_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.628.2.d1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times D_{20}):C_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.629.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_4).D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.629.2.d1.b1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_4).D_{20}$ $2^{6} \cdot 5$ $C_2$ $2$
320.630.2.d1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_{20}).D_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.630.2.e1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $(C_2\times C_{20}).D_4$ $2^{6} \cdot 5$ $C_2$ $2$
320.640.2.e1.a1 $D_{20}:C_4$ $2^{5} \cdot 5$ $C_{20}:D_8$ $2^{6} \cdot 5$ $C_2$ $2$
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