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Note: Search results may be incomplete due to uncomputed quantities: Characteristic (9102698 objects)

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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 394 matches)

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Label Subgroup Ambient Quotient
Name Order Sylow norm char max cent ab Name Order Name Size max ab
6400000000.dnk.1.a1.a1 $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_1$ $1$ ✓
6400000000.dnk.2._.A $C_5^8.C_2.C_2^4.C_2^5.C_2^3$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.B $C_5^6.(C_2\times F_5^2).D_4^2:C_2^2$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.C $C_5^4:C_2.F_5\wr C_4.C_2^2$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.K $C_5^8.C_2^5.C_2^5.C_2^3$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.L $C_5^8.C_2^4.C_2^4.C_2^5$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.M $C_5^4:C_2.F_5\wr C_4.C_2^2$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.N $C_5^6.(C_2\times F_5^2).D_4^2:C_2^2$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.P $C_5^8.C_4^2.(C_4\times \OD_{16}).C_2^3$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.Q $C_5^4:C_2.F_5\wr C_4.C_2^2$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.R $C_5^6.(C_2\times F_5^2).D_4^2:C_2^2$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.BA $C_5^4:C_2.F_5\wr C_4.C_2^2$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.BB $C_5^6.(C_2\times F_5^2).C_2^6:C_4$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.BC $C_5^4:C_2.F_5\wr C_4.C_2^2$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.BD $C_5^6.(C_2\times F_5^2).D_4^2:C_2^2$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.2._.BE $C_5^8.C_2^5.C_2^5.C_2^3$ $2^{13} \cdot 5^{8}$ ✓ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2$ $2$ ✓
6400000000.dnk.4._.B $C_5^8.C_4^2.D_4^2:C_4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.F $C_5^8.C_2.C_2^5.C_2^6$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.G $C_5^8.C_4^2.D_4^2:C_4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.I $C_5^8.C_4^2.(D_4\times Q_8):C_4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.N $C_5^8.C_2^4.C_2.C_2^5.C_2^2$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.O $C_5^8.C_4^2.(D_4\times Q_8):C_4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.P $C_5^8.C_2^4.C_2^5.C_2^3$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.T $C_5^8.C_4^3.C_2^3.D_4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.U $C_5^8.C_2^4.C_2^4.C_2^4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.W $C_5^4.D_5^4.(C_2^2\times C_4^2):C_4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.BB $C_5^8.C_4^2.C_4^2:\OD_{16}$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.BC $C_5^6.(C_2\times F_5^2).C_2^5:C_4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.BD $C_5^8.C_2^5.D_4^2.C_2$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.BH $C_5^8.C_4^2.(C_4.D_4^2)$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.BI $C_5^8.C_2^4.C_2^4.C_2^4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.BK $C_5^4.D_5^4.(C_2^2\times C_4^2):C_4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.BP $C_5^8.C_4^2.C_4^2:\OD_{16}$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.BQ $C_5^6.(C_2\times F_5^2).C_2^5:C_4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.BR $C_5^8.C_2^5.C_2^4.C_2^3$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.CD $C_5^8.C_2^5.C_2^4.C_2^3$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.CP $C_5^8.C_2^5.C_2^4.C_2^3$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.DB $C_5^8.C_2^5.D_4^2.C_2$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.DN $C_5^8.C_2^5.C_2^5.C_2^2$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.DV $C_5^8.C_2^4.C_2^5.C_2^3$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.ED $C_5^8.C_2^5.D_4^2.C_2$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.EL $C_5^8.C_2^5.D_4^2.C_2$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.EM $C_5^4.D_5^4.C_2^4:C_4^2$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.EN $C_5^8.C_4^3.C_2^3.Q_8$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.EO $C_5^8.C_4^3.C_2^4.C_2^2$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.ET $C_5^8.C_2^4.C_2^5.C_2^3$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.EW $C_5^8.C_2^5.C_2^3.C_2^4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.EY $C_5^8.C_2^4.C_2^4.C_2^4$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.EZ $C_5^4.D_5^4.(C_2^4.C_2^4)$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
6400000000.dnk.4._.FB $C_5^8.C_2^5.C_2^4.C_2^3$ $2^{12} \cdot 5^{8}$ ✓ ✓ $C_5^4:C_2.F_5\wr C_4.C_2^3$ $2^{14} \cdot 5^{8}$ $C_2^2$ $2^{2}$ ✓
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