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Subgroup label Subgroup order Cyclic Abelian Solvable
Normal Characteristic Perfect Maximal Central
Ambient label Ambient order Direct product Semidirect product
Quotient label Subgroup index Cyclic quotient Abelian quotient Solvable quotient
Maximal quotient Non-trivial proper Hall subgroup Sylow subgroup
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Results (1-50 of 100 matches)

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Label Subgroup Ambient Quotient
Name Order Sylow norm char max cent ab Name Order Name Size max ab
448.110.2.a1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{56}.D_4$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.111.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $(C_7\times \OD_{16}):C_4$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.112.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.113.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $(C_2\times C_{56}):C_4$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.114.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.115.2.a1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.116.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $(C_7\times \OD_{16}):C_4$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.117.2.a1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.141.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_4^2:C_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.142.2.a1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.142.2.a1.b1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.142.2.a1.c1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.143.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_4^2:C_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.145.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.145.2.b1.b1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.147.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $\OD_{16}:C_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.147.2.b1.b1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $\OD_{16}:C_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.148.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{16}:C_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.148.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{16}:C_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.153.2.a1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{32}:C_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.651.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.652.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $(C_2\times C_8).D_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.653.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $(C_2\times C_8).D_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.654.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_2^3.D_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.655.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_2^3.D_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.656.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{28}.C_4^2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.657.2.a1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{16}.D_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.658.2.a1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{16}.D_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.659.2.a1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{56}.(C_2\times C_4)$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.660.2.b1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $D_{14}:\OD_{16}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.661.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{56}:D_4$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.662.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{56}:D_4$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.663.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $(C_{14}\times \OD_{16}):C_2$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.664.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{16}:D_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.665.2.c1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_2^3.D_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.666.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{16}.D_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.667.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_2^3.D_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.668.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{56}:D_4$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.669.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{56}:D_4$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.670.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{16}.D_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.671.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $C_{56}.D_4$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.672.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{16}:D_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.673.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{16}:D_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.812.2.b1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $\OD_{16}\times C_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.813.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $\OD_{16}:C_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.815.2.b1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $C_2^4.C_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.816.2.c1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ ✓ $(C_2^2\times C_8):C_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.819.2.b1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $C_2^4.C_{28}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.820.2.b1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $C_4.D_4\times C_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
448.821.2.b1.a1 $C_{14}\times \OD_{16}$ $2^{5} \cdot 7$ ✓ ✓ $(C_2\times \OD_{16}):C_{14}$ $2^{6} \cdot 7$ $C_2$ $2$ ✓
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