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Results (1-50 of 59 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
22T1 $C_{22}$ $22$ $-1$ yes $C_2$, $C_{11}$
22T2 $D_{11}$ $22$ $-1$ yes $C_2$, $D_{11}$ 11T2
22T3 $D_{22}$ $44$ $-1$ yes $C_2$, $D_{11}$ 22T3, 44T4
22T4 $F_{11}$ $110$ $-1$ yes $C_2$, $F_{11}$ 11T4
22T5 $C_2\times C_{11}:C_5$ $110$ $-1$ yes $C_2$, $C_{11}:C_5$
22T6 $C_2\times F_{11}$ $220$ $-1$ yes $C_2$, $F_{11}$ 22T6, 44T14
22T7 $C_{11}\times D_{11}$ $242$ $-1$ yes $C_2$ 22T7 x 4
22T8 $C_{11}:D_{11}.C_2$ $484$ $1$ yes $C_2$ 22T8 x 5, 44T28 x 6
22T9 $D_{11}^2$ $484$ $-1$ yes $C_2$ 22T9 x 4, 44T29 x 5
22T10 t22n10 $968$ $-1$ yes $C_2$ 22T10, 44T39 x 2, 44T40 x 2, 44T41 x 2, 44T44 x 2
22T11 t22n11 $1210$ $-1$ yes $C_2$ 22T11 x 4
22T12 t22n12 $1210$ $-1$ yes $C_2$
22T13 t22n13 $1320$ $-1$ no $C_2$, $\PSL(2,11)$ 22T13, 24T2948
22T14 t22n14 $1320$ $-1$ no $C_2$ 12T218, 24T2949
22T15 t22n15 $2420$ $-1$ yes $C_2$ 22T15 x 4, 44T59 x 5
22T16 t22n16 $2420$ $1$ yes $C_2$ 44T60
22T17 t22n17 $2420$ $-1$ yes $C_2$ 44T61
22T18 t22n18 $2420$ $1$ yes $C_2$ 22T18 x 5, 44T62 x 6
22T19 t22n19 $4840$ $-1$ yes $C_2$ 44T81, 44T82, 44T83
22T20 t22n20 $4840$ $-1$ yes $C_2$ 22T20, 44T84 x 2, 44T85 x 2, 44T86 x 2, 44T89 x 2
22T21 t22n21 $6050$ $-1$ yes $C_2$
22T22 $M_{11}$ $7920$ $1$ no $M_{11}$ 11T6, 12T272
22T23 t22n23 $11264$ $1$ yes $C_{11}$ 22T23 x 92, 44T116 x 31, 44T117 x 465, 44T118 x 465, 44T119 x 465, 44T120 x 465, 44T121 x 930, 44T122 x 930, 44T123 x 930, 44T124 x 930, 44T125 x 930, 44T126 x 930, 44T127 x 930, 44T128 x 930, 44T129 x 930, 44T130 x 930, 44T131 x 930, 44T132 x 930, 44T133 x 930, 44T134 x 930, 44T135 x 930
22T24 t22n24 $12100$ $1$ yes $C_2$ 44T138
22T25 t22n25 $12100$ $-1$ yes $C_2$ 44T139
22T26 t22n26 $15840$ $-1$ no $M_{11}$ 22T27, 24T12204, 44T140
22T27 t22n27 $15840$ $-1$ no $C_2$, $M_{11}$ 22T26, 24T12204, 44T140
22T28 t22n28 $22528$ $-1$ yes $C_{11}$ 22T28 x 92, 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 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
22T29 t22n29 $22528$ $-1$ yes $D_{11}$ 22T29 x 30, 22T30 x 31, 44T147 x 31, 44T148 x 31, 44T204 x 155, 44T205 x 155, 44T206 x 155, 44T207 x 31, 44T208 x 155, 44T209 x 155, 44T210 x 155, 44T211 x 155
22T30 t22n30 $22528$ $1$ yes $D_{11}$ 22T29 x 31, 22T30 x 30, 44T147 x 31, 44T148 x 31, 44T204 x 155, 44T205 x 155, 44T206 x 155, 44T207 x 31, 44T208 x 155, 44T209 x 155, 44T210 x 155, 44T211 x 155
22T31 t22n31 $24200$ $-1$ yes $C_2$ 44T218, 44T219, 44T220
22T32 t22n32 $45056$ $-1$ yes $D_{11}$ 22T32 x 61, 44T236 x 31, 44T239 x 31, 44T240 x 62, 44T241 x 62, 44T266 x 310, 44T267 x 310, 44T268 x 310, 44T269 x 31, 44T270 x 155, 44T271 x 155, 44T272 x 155, 44T273 x 310, 44T274 x 310, 44T275 x 310
22T33 t22n33 $56320$ $1$ yes $C_{11}:C_5$ 22T33 x 2, 44T288
22T34 t22n34 $112640$ $1$ yes $F_{11}$ 22T35, 44T312, 44T313, 44T316
22T35 t22n35 $112640$ $-1$ yes $F_{11}$ 22T34, 44T312, 44T313, 44T316
22T36 t22n36 $112640$ $-1$ yes $C_{11}:C_5$ 22T36 x 2, 44T314 x 3, 44T315 x 3
22T37 t22n37 $225280$ $-1$ yes $F_{11}$ 22T37, 44T333, 44T336, 44T339 x 2, 44T340 x 2, 44T341
22T38 $M_{22}$ $443520$ $1$ no
22T39 t22n39 $675840$ $1$ no $\PSL(2,11)$ 22T39
22T40 t22n40 $871200$ $-1$ no $C_2$ 22T40, 24T21362
22T41 t22n41 $887040$ $-1$ no 44T405
22T42 t22n42 $1351680$ $-1$ no $\PSL(2,11)$ 22T42, 44T433 x 2
22T43 t22n43 $8110080$ $1$ no $M_{11}$ 22T43, 44T554
22T44 t22n44 $16220160$ $-1$ no $M_{11}$ 22T44, 44T613, 44T615 x 2, 44T617 x 2
22T45 t22n45 $39916800$ $-1$ no $C_2$, $S_{11}$ 11T8
22T46 t22n46 $39916800$ $-1$ no $C_2$, $A_{11}$
22T47 t22n47 $79833600$ $-1$ no $C_2$, $S_{11}$ 22T47, 44T1258
22T48 t22n48 $125452800$ $-1$ no $C_2$ 24T24600, 44T1454
22T49 t22n49 $20437401600$ $1$ no $A_{11}$
22T50 t22n50 $40874803200$ $-1$ no $S_{11}$ 22T51, 44T1749
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Results are complete for degrees $\leq 23$.