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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (1-50 of 22527 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
42T2932 $C_3^{12}.D_{21}$ $22320522$ $-1$ ✓ $C_2$, $D_{7}$, $D_{7}$
42T2933 $C_3^6.C_3^7:D_7$ $22320522$ $-1$ ✓ $C_2$, $D_{7}$, $D_{7}$
42T3471 $C_3^{13}.C_{42}$ $66961566$ $-1$ ✓ $C_2$, $C_7$, $C_{14}$
42T3472 $C_3^6.C_3^8:D_7$ $66961566$ $-1$ ✓ $C_2$, $D_{7}$, $D_{7}$
42T3847 $C_3^7:(C_2^{12}.C_{14})$ $125411328$ $-1$ ✓ $C_7$, $C_2 \wr C_7$, $C_3^7:(C_2^3:F_8)$
42T3850 $C_3^7:(C_2^{12}.C_{14})$ $125411328$ $1$ ✓ $C_7$, $C_2^3:F_8$, $C_3^7:C_2\wr C_7$
42T3851 $C_3^7:(C_2^{12}.C_{14})$ $125411328$ $-1$ ✓ $C_7$, $C_2 \wr C_7$, $C_3^7:C_2\wr C_7$
42T3872 $C_3^{14}.C_{14}.C_2$ $133923132$ $-1$ ✓ $C_2$, $C_7$, $C_{14}$
42T3875 $C_3^6.C_3^8:D_{14}$ $133923132$ $-1$ ✓ $C_2$, $D_{7}$, $D_{7}$
42T4273 $C_2^7.C_3^7:C_2\wr C_7$ $250822656$ $-1$ ✓ $C_7$, $C_2 \wr C_7$, $C_3^7:C_2\wr C_7$
42T7835 $C_3^{14}.C_2^6.C_2^6.C_{14}$ $274274574336$ $1$ ✓ $C_7$, $C_2^3:F_8$
42T7866 $C_3^{14}.C_2^6.C_2^6.C_{14}$ $274274574336$ $-1$ ✓ $C_7$, $C_2 \wr C_7$
42T7956 $C_2^{14}.C_3^7.C_2^6.F_8.C_2^2$ $513684799488$ $-1$ ✓ $C_7$, $C_3^7:C_2\wr C_7$
42T7957 $C_2^{14}.C_3^7.C_2^6.F_8.C_2^2$ $513684799488$ $-1$ ✓ $C_7$, $C_3^7:C_2\wr C_7$
42T7958 $C_2^{14}.C_3^7.C_2^6.F_8.C_2^2$ $513684799488$ $-1$ ✓ $C_7$, $C_3^7:C_2\wr C_7$
42T7959 $C_2^{14}.C_3^7.C_2^6.F_8.C_2^2$ $513684799488$ $-1$ ✓ $C_7$, $C_3^7:C_2\wr C_7$
42T7977 $C_3^{14}.C_2^6.C_2^6.D_{14}$ $548549148672$ $-1$ ✓ $C_2$, $D_{7}$, $D_{7}$ 42T8022 x 7
42T8059 $C_3^{14}.C_2^6.C_2^6.C_{14}.C_2$ $548549148672$ $-1$ ✓ $C_7$, $C_2 \wr C_7$
42T8192 $C_2^{14}.C_3^7.C_2^6.C_2^6.C_7$ $1027369598976$ $1$ ✓ $C_7$, $C_3^7:(C_2^3:F_8)$
42T8366 $C_2^{14}.C_3^7.C_2^6.C_2^6.C_{14}$ $2054739197952$ $-1$ ✓ $C_7$, $C_3^7:(C_2^3:F_8)$
42T8369 $C_2^{14}.C_3^7.C_2^6.C_2^6.C_{14}$ $2054739197952$ $1$ ✓ $C_7$, $C_3^7:C_2\wr C_7$
42T8370 $C_2^{14}.C_3^7.C_2^6.C_2^6.C_{14}$ $2054739197952$ $-1$ ✓ $C_7$, $C_3^7:C_2\wr C_7$
42T8465 $C_2^{14}.C_3^7.C_2^6.C_2^6.D_{14}$ $4109478395904$ $-1$ ✓ $D_{7}$, $C_3^7:(C_2^6:D_7)$
42T8466 $C_2^{14}.C_3^7.C_2^6.C_2^6.C_{14}.C_2$ $4109478395904$ $-1$ ✓ $C_7$, $C_3^7:C_2\wr C_7$
42T8467 $C_2^{14}.C_3^7.C_2^6.C_2^6.D_{14}$ $4109478395904$ $-1$ ✓ $D_{7}$, $C_3^7:(C_2^6:D_7)$
42T8468 $C_2^{14}.C_3^7.C_2^6.C_2^6.D_{14}$ $4109478395904$ $-1$ ✓ $D_{7}$, $C_3^7:C_2\wr D_7$ 42T8468 x 55, 42T8469 x 56, 42T8470 x 56, 42T8471 x 56
42T8469 $C_2^{14}.C_3^7.C_2^6.C_2^6.D_{14}$ $4109478395904$ $1$ ✓ $D_{7}$, $C_3^7:C_2\wr D_7$ 42T8468 x 56, 42T8469 x 55, 42T8470 x 56, 42T8471 x 56
42T8471 $C_2^{14}.C_3^7.C_2^6.C_2^6.D_{14}$ $4109478395904$ $-1$ ✓ $D_{7}$, $C_3^7:C_2\wr D_7$ 42T8468 x 56, 42T8469 x 56, 42T8470 x 56, 42T8471 x 55
42T8472 $C_3^{14}.C_2.C_2^4.C_2^6.F_8.C_2$ $4388393189376$ $-1$ ✓ $C_7$, $F_8$ 42T8486
42T8474 $C_3^{14}.C_2.C_2^6.C_2^6.F_8.C_2$ $4388393189376$ $-1$ ✓ $C_7$, $C_2\times F_8$
42T8476 $C_3^{14}.C_2.C_2^6.C_2^6.F_8.C_2$ $4388393189376$ $-1$ ✓ $C_7$, $C_2^3:F_8$
42T8477 $C_3^{14}.C_2.C_2^6.C_2^6.F_8.C_2$ $4388393189376$ $-1$ ✓ $C_7$, $C_2^3:F_8$ 42T8482
42T8680 $C_3^{14}.C_2^4.C_2^6.C_2^6.F_8$ $17553572757504$ $1$ ✓ $C_7$, $C_2^3:F_8$
42T8765 $C_3^{14}.C_2^4.C_2^6.C_2^6.F_8.C_2$ $35107145515008$ $-1$ ✓ $C_7$, $C_2^3:F_8$
42T8770 $C_3^{14}.C_2^4.C_2^6.C_2^6.F_8.C_2$ $35107145515008$ $1$ ✓ $C_7$, $C_2 \wr C_7$
42T8771 $C_3^{14}.C_2^4.C_2^6.C_2^6.F_8.C_2$ $35107145515008$ $-1$ ✓ $C_7$, $C_2 \wr C_7$
42T8832 $C_3^{14}.C_2^4.C_2^6.C_2^6.F_8.C_2^2$ $70214291030016$ $-1$ ✓ $C_7$, $C_2 \wr C_7$
42T9445 $A_7^6.C_2^5.A_4.C_2^2$ $393363863113826304000000$ $-1$ $C_3$, $A_4\times C_2$
44T146 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_2$, $C_{11}$, $C_{22}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ 22T28 x 93, 44T146 x 92, 44T149 x 93, 44T150 x 465, 44T151 x 465, 44T152 x 465, 44T153 x 465, 44T154 x 465, 44T155 x 465, 44T156 x 930, 44T157 x 930, 44T158 x 930, 44T159 x 930, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T149 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ x 2 22T28 x 93, 44T146 x 93, 44T149 x 92, 44T150 x 465, 44T151 x 465, 44T152 x 465, 44T153 x 465, 44T154 x 465, 44T155 x 465, 44T156 x 930, 44T157 x 930, 44T158 x 930, 44T159 x 930, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T150 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ 22T28 x 93, 44T146 x 93, 44T149 x 93, 44T150 x 464, 44T151 x 465, 44T152 x 465, 44T153 x 465, 44T154 x 465, 44T155 x 465, 44T156 x 930, 44T157 x 930, 44T158 x 930, 44T159 x 930, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T151 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ x 2 22T28 x 93, 44T146 x 93, 44T149 x 93, 44T150 x 465, 44T151 x 464, 44T152 x 465, 44T153 x 465, 44T154 x 465, 44T155 x 465, 44T156 x 930, 44T157 x 930, 44T158 x 930, 44T159 x 930, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T152 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ x 2 22T28 x 93, 44T146 x 93, 44T149 x 93, 44T150 x 465, 44T151 x 465, 44T152 x 464, 44T153 x 465, 44T154 x 465, 44T155 x 465, 44T156 x 930, 44T157 x 930, 44T158 x 930, 44T159 x 930, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T153 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ x 2 22T28 x 93, 44T146 x 93, 44T149 x 93, 44T150 x 465, 44T151 x 465, 44T152 x 465, 44T153 x 464, 44T154 x 465, 44T155 x 465, 44T156 x 930, 44T157 x 930, 44T158 x 930, 44T159 x 930, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T154 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ x 2 22T28 x 93, 44T146 x 93, 44T149 x 93, 44T150 x 465, 44T151 x 465, 44T152 x 465, 44T153 x 465, 44T154 x 464, 44T155 x 465, 44T156 x 930, 44T157 x 930, 44T158 x 930, 44T159 x 930, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T156 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ x 2 22T28 x 93, 44T146 x 93, 44T149 x 93, 44T150 x 465, 44T151 x 465, 44T152 x 465, 44T153 x 465, 44T154 x 465, 44T155 x 465, 44T156 x 929, 44T157 x 930, 44T158 x 930, 44T159 x 930, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T157 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ x 2 22T28 x 93, 44T146 x 93, 44T149 x 93, 44T150 x 465, 44T151 x 465, 44T152 x 465, 44T153 x 465, 44T154 x 465, 44T155 x 465, 44T156 x 930, 44T157 x 929, 44T158 x 930, 44T159 x 930, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T158 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ x 2 22T28 x 93, 44T146 x 93, 44T149 x 93, 44T150 x 465, 44T151 x 465, 44T152 x 465, 44T153 x 465, 44T154 x 465, 44T155 x 465, 44T156 x 930, 44T157 x 930, 44T158 x 929, 44T159 x 930, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T159 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ x 2 22T28 x 93, 44T146 x 93, 44T149 x 93, 44T150 x 465, 44T151 x 465, 44T152 x 465, 44T153 x 465, 44T154 x 465, 44T155 x 465, 44T156 x 930, 44T157 x 930, 44T158 x 930, 44T159 x 929, 44T160 x 930, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
44T160 $C_{15}\times C_{420}$ $22528$ $1$ ✓ $C_{11}$, $C_2^{10}:C_{11}$, $C_{15}\times C_{420}$ x 2 22T28 x 93, 44T146 x 93, 44T149 x 93, 44T150 x 465, 44T151 x 465, 44T152 x 465, 44T153 x 465, 44T154 x 465, 44T155 x 465, 44T156 x 930, 44T157 x 930, 44T158 x 930, 44T159 x 930, 44T160 x 929, 44T161 x 930, 44T162 x 930, 44T163 x 930, 44T164 x 930, 44T165 x 930, 44T166 x 930, 44T167 x 930, 44T168 x 930, 44T169 x 930, 44T170 x 930, 44T171 x 930, 44T172 x 930, 44T173 x 930, 44T174 x 930, 44T175 x 930, 44T176 x 930, 44T177 x 930, 44T178 x 930, 44T179 x 930, 44T180 x 930, 44T181 x 930, 44T182 x 930, 44T183 x 930, 44T184 x 930, 44T185 x 930, 44T186 x 930, 44T187 x 930, 44T188 x 930, 44T189 x 930, 44T190 x 930, 44T191 x 930, 44T192 x 930, 44T193 x 930, 44T194 x 930, 44T195 x 930, 44T196 x 930, 44T197 x 930, 44T198 x 930, 44T199 x 930, 44T200 x 930, 44T201 x 930, 44T202 x 930, 44T203 x 930
Next   displayed columns for results

Results are complete for degrees $\leq 23$.