| 1 | #20289484 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #20287817 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #20283306 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #20276452 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20276451 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20276449 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | C2×#16810432 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #360×D53 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | C2×C53×#360 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #16811459 | — | 2 | 1 | no | — |
| 11 | #16811437 | C4 | 1 | 2 | yes | complemented |
| 12 | #16811436 | C4 | 1 | 2 | yes | complemented |
| 13 | #16811430 | — | 2 | 2 | no | — |
| 14 | #16811429 | — | 2 | 2 | no | — |
| 15 | #16811425 | C4 | 1 | 2 | yes | complemented |
| 16 | #16811424 | C4 | 1 | 2 | yes | complemented |
| 17 | #16811421 | — | 2 | 1 | no | — |
| 18 | #16811420 | — | 2 | 2 | no | — |
| 19 | C2×#13133239 | C22 | 1 | 1 | yes | characteristic |
| 20 | #135×D53 | C22 | 1 | 4 | yes | — |
| 21 | C2×#13133223 | C22 | 1 | 1 | yes | characteristic |
| 22 | #16811104 | — | 2 | 1 | no | — |
| 23 | #16811041 | — | 2 | 2 | no | — |
| 24 | #16811039 | — | 2 | 2 | no | — |
| 25 | C2×#13133157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | M32×D53 | C22 | 1 | 4 | yes | complemented |
| 27 | #16810663 | — | 2 | 1 | no | — |
| 28 | #16810662 | — | 2 | 2 | no | — |
| 29 | #16810661 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #16810658 | C22 | 1 | 2 | yes | complemented |
| 31 | #106×D53 | C22 | 1 | 2 | yes | complemented |
| 32 | #16810434 | C22 | 1 | 2 | yes | complemented |
| 33 | #16810434 | C22 | 1 | 2 | yes | complemented |
| 34 | #16810433 | C22 | 1 | 2 | yes | complemented |
| 35 | #16810433 | C22 | 1 | 2 | yes | complemented |
| 36 | #16810432 | C22 | 1 | 4 | yes | complemented |
| 37 | C2×#135×C53 | C22 | 1 | 1 | yes | characteristic |
| 38 | C2×M32×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×#106×C53 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C53×#360 | C22 | 1 | 4 | yes | complemented |
| 41 | #13133265 | — | 2 | 2 | no | — |
| 42 | #13133264 | — | 2 | 2 | no | — |
| 43 | #13133264 | — | 4 | 1 | no | — |
| 44 | #13133263 | — | 2 | 2 | no | — |
| 45 | #13133263 | — | 4 | 1 | no | — |
| 46 | #13133262 | — | 2 | 2 | no | — |
| 47 | #13133262 | — | 4 | 2 | no | — |
| 48 | C2×#11719945 | — | 2 | 1 | no | — |
| 49 | C2×#11719945 | — | 4 | 2 | no | — |
| 50 | C2×#11719945 | D4 | 1 | 1 | yes | characteristic |
| 51 | #41×D53 | — | 2 | 4 | no | — |
| 52 | #41×D53 | — | 4 | 2 | no | — |
| 53 | #13133249 | — | 2 | 4 | no | — |
| 54 | #13133248 | — | 2 | 2 | no | — |
| 55 | #13133247 | — | 2 | 2 | no | — |
| 56 | #13133246 | — | 2 | 4 | no | — |
| 57 | #13133244 | — | 2 | 4 | no | — |
| 58 | #13133243 | — | 2 | 2 | no | — |
| 59 | #13133242 | — | 2 | 2 | no | — |
| 60 | #13133241 | — | 2 | 4 | no | — |
| 61 | #13133240 | C2×C4 | 1 | 4 | yes | complemented |
| 62 | #13133239 | — | 2 | 1 | no | — |
| 63 | #13133239 | — | 2 | 1 | no | — |
| 64 | #13133239 | C2×C4 | 1 | 2 | yes | complemented |
| 65 | #13133239 | C23 | 1 | 2 | yes | — |
| 66 | #13133238 | — | 2 | 4 | no | — |
| 67 | #13133237 | — | 2 | 4 | no | — |
| 68 | #13133236 | C2×C4 | 1 | 4 | yes | complemented |
| 69 | C2×Dic212 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 70 | Q16×D53 | C2×C4 | 1 | 4 | yes | complemented |
| 71 | C2×#11719913 | — | 2 | 1 | no | — |
| 72 | SD16×D53 | — | 2 | 4 | no | — |
| 73 | C2×D424 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 74 | D8×D53 | C2×C4 | 1 | 4 | yes | complemented |
| 75 | #13133223 | C2×C4 | 1 | 2 | yes | — |
| 76 | #13133223 | C2×C4 | 1 | 2 | yes | — |
| 77 | #13133223 | D4 | 1 | 2 | yes | — |
| 78 | #13133223 | D4 | 1 | 2 | yes | — |
| 79 | C2×#11719917 | D4 | 1 | 1 | yes | characteristic |
| 80 | C2×#11719912 | D4 | 1 | 2 | yes | — |
| 81 | C2×C8×D53 | C23 | 1 | 2 | yes | — |
| 82 | #13133182 | — | 4 | 1 | no | — |
| 83 | #13133179 | — | 4 | 1 | no | — |
| 84 | C4×C22⋊D53 | — | 4 | 2 | no | — |
| 85 | #13133176 | — | 2 | 1 | no | — |
| 86 | #13133175 | — | 2 | 2 | no | — |
| 87 | C4⋊C4×D53 | — | 2 | 2 | no | — |
| 88 | #13133157 | — | 2 | 1 | no | — |
| 89 | #13133157 | C23 | 1 | 2 | yes | — |
| 90 | #13133156 | — | 2 | 4 | no | — |
| 91 | C2×#11719908 | — | 2 | 1 | no | — |
| 92 | C16×D53 | — | 2 | 4 | no | — |
| 93 | #13133151 | — | 2 | 1 | no | — |
| 94 | #13133150 | — | 2 | 2 | no | — |
| 95 | #13133149 | C23 | 1 | 1 | yes | characteristic |
| 96 | #13133149 | C23 | 1 | 1 | yes | characteristic |
| 97 | #13133148 | — | 2 | 2 | no | — |
| 98 | C2×#41×C53 | — | 2 | 1 | no | — |
| 99 | #135×C53 | — | 2 | 1 | no | — |
| 100 | #135×C53 | — | 2 | 1 | no | — |
| 101 | #135×C53 | C2×C4 | 1 | 2 | yes | complemented |
| 102 | #135×C53 | C23 | 1 | 2 | yes | — |
| 103 | C2×Q16×C53 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 104 | C2×SD16×C53 | — | 2 | 1 | no | — |
| 105 | C2×D8×C53 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 106 | C22×C8×C53 | C23 | 1 | 1 | yes | characteristic |
| 107 | C2×C4⋊C4×C53 | — | 2 | 1 | no | — |
| 108 | M32×C53 | — | 2 | 1 | no | — |
| 109 | M32×C53 | C23 | 1 | 2 | yes | — |
| 110 | C2×C16×C53 | — | 2 | 1 | no | — |
| 111 | #106×C53 | — | 2 | 1 | no | — |
| 112 | #106×C53 | C23 | 1 | 2 | yes | — |
| 113 | #41×C53 | — | 2 | 2 | no | — |
| 114 | #41×C53 | — | 2 | 2 | no | — |
| 115 | #41×C53 | — | 4 | 1 | no | — |
| 116 | #41×C53 | — | 4 | 1 | no | — |
| 117 | C2×Q8×C53 | — | 2 | 1 | no | — |
| 118 | C2×D4×C53 | — | 2 | 1 | no | — |
| 119 | C2×D4×C53 | — | 4 | 1 | no | — |
| 120 | C22×C4×C53 | — | 4 | 1 | no | — |
| 121 | C22×C4×C53 | — | 4 | 1 | no | — |
| 122 | C22×C4×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C2×C22⋊D53 | — | 4 | 1 | no | — |
| 124 | C2×C22⋊D53 | — | 4 | 4 | no | — |
| 125 | C2×C22⋊D53 | D8 | 1 | 2 | yes | — |
| 126 | #11719949 | — | 2 | 4 | no | — |
| 127 | #11719949 | — | 4 | 2 | no | — |
| 128 | Q8×D53 | — | 2 | 4 | no | — |
| 129 | Q8×D53 | — | 4 | 2 | no | — |
| 130 | #11719947 | — | 2 | 4 | no | — |
| 131 | #11719947 | — | 4 | 4 | no | — |
| 132 | #11719947 | — | 4 | 4 | no | — |
| 133 | #11719947 | — | 4 | 2 | no | — |
| 134 | D4×D53 | — | 2 | 4 | no | — |
| 135 | D4×D53 | — | 4 | 4 | no | — |
| 136 | D4×D53 | — | 4 | 4 | no | — |
| 137 | D4×D53 | — | 4 | 2 | no | — |
| 138 | #11719945 | — | 2 | 2 | no | — |
| 139 | #11719945 | — | 2 | 2 | no | — |
| 140 | #11719945 | — | 4 | 1 | no | — |
| 141 | #11719945 | — | 4 | 1 | no | — |
| 142 | #11719945 | — | 4 | 4 | no | — |
| 143 | #11719945 | — | 4 | 2 | no | — |
| 144 | #11719945 | — | 4 | 4 | no | — |
| 145 | #11719945 | — | 4 | 2 | no | — |
| 146 | #11719945 | C22⋊C4 | 1 | 2 | yes | — |
| 147 | #11719945 | C22⋊C4 | 1 | 2 | yes | — |
| 148 | #11719945 | SD16 | 1 | 2 | yes | — |
| 149 | #11719945 | SD16 | 1 | 2 | yes | — |
| 150 | C2×D212 | — | 2 | 1 | no | — |
| 151 | C2×D212 | — | 4 | 2 | no | — |
| 152 | C2×D212 | D8 | 1 | 1 | yes | characteristic |
| 153 | C2×C4×D53 | — | 4 | 1 | no | — |
| 154 | C2×C4×D53 | — | 4 | 4 | no | — |
| 155 | C2×C4×D53 | — | 4 | 2 | no | — |
| 156 | C2×C4×D53 | C2×D4 | 1 | 2 | yes | — |
| 157 | C2×Dic106 | — | 2 | 1 | no | — |
| 158 | C2×Dic106 | — | 4 | 2 | no | — |
| 159 | C2×Dic106 | D8 | 1 | 1 | yes | characteristic |
| 160 | Q16×C53 | — | 2 | 1 | no | — |
| 161 | Q16×C53 | C22×C4 | 1 | 2 | yes | — |
| 162 | SD16×C53 | — | 2 | 2 | no | — |
| 163 | SD16×C53 | — | 2 | 2 | no | — |
| 164 | D8×C53 | — | 2 | 1 | no | — |
| 165 | D8×C53 | C22×C4 | 1 | 2 | yes | — |
| 166 | C2×C8×C53 | C22×C4 | 1 | 1 | yes | characteristic |
| 167 | C2×C8×C53 | C22×C4 | 1 | 1 | yes | characteristic |
| 168 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C2×C8×C53 | C2×D4 | 1 | 1 | yes | characteristic |
| 171 | C2×C8×C53 | C24 | 1 | 1 | yes | characteristic |
| 172 | C4⋊C4×C53 | — | 2 | 2 | no | — |
| 173 | C4⋊C4×C53 | — | 4 | 1 | no | — |
| 174 | C22⋊Dic53 | — | 4 | 1 | no | — |
| 175 | #11719925 | — | 2 | 4 | no | — |
| 176 | #11719924 | — | 2 | 4 | no | — |
| 177 | #11719923 | — | 2 | 4 | no | — |
| 178 | #11719922 | — | 2 | 4 | no | — |
| 179 | #11719921 | — | 4 | 2 | no | — |
| 180 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 181 | C4⋊Dic53 | — | 2 | 1 | no | — |
| 182 | #11719919 | — | 4 | 2 | no | — |
| 183 | C4×Dic53 | — | 4 | 1 | no | — |
| 184 | C4×Dic53 | — | 4 | 2 | no | — |
| 185 | #11719917 | C22⋊C4 | 1 | 2 | yes | — |
| 186 | #11719917 | C22⋊C4 | 1 | 2 | yes | — |
| 187 | C2×#88322 | C2×D4 | 1 | 2 | yes | — |
| 188 | Dic212 | — | 2 | 1 | no | — |
| 189 | Dic212 | C22×C4 | 1 | 2 | yes | — |
| 190 | D424 | — | 2 | 1 | no | — |
| 191 | D424 | C22×C4 | 1 | 2 | yes | — |
| 192 | #11719913 | — | 2 | 2 | no | — |
| 193 | #11719913 | — | 2 | 2 | no | — |
| 194 | #11719912 | C22⋊C4 | 1 | 4 | yes | — |
| 195 | #11719912 | C22⋊C4 | 1 | 4 | yes | — |
| 196 | C8×D53 | C22×C4 | 1 | 4 | yes | — |
| 197 | C8×D53 | C2×D4 | 1 | 4 | yes | — |
| 198 | C16×C53 | — | 2 | 2 | no | — |
| 199 | #11719908 | — | 2 | 2 | no | — |
| 200 | C23×C53 | — | 4 | 1 | no | — |
| 201 | C23×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 202 | C22×D53 | — | 4 | 1 | no | — |
| 203 | C22×D53 | — | 4 | 4 | no | — |
| 204 | C22×D53 | C2×D8 | 1 | 2 | yes | — |
| 205 | Q8×C53 | — | 2 | 2 | no | — |
| 206 | Q8×C53 | — | 4 | 1 | no | — |
| 207 | D4×C53 | — | 2 | 2 | no | — |
| 208 | D4×C53 | — | 4 | 2 | no | — |
| 209 | D4×C53 | — | 4 | 2 | no | — |
| 210 | D4×C53 | — | 4 | 1 | no | — |
| 211 | C2×C4×C53 | — | 4 | 1 | no | — |
| 212 | C2×C4×C53 | — | 4 | 2 | no | — |
| 213 | C2×C4×C53 | — | 4 | 2 | no | — |
| 214 | C2×C4×C53 | — | 4 | 2 | no | — |
| 215 | C2×C4×C53 | — | 16 | 1 | no | — |
| 216 | C2×C4×C53 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 217 | C2×C4×C53 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 218 | C2×C4×C53 | C2×D8 | 1 | 1 | yes | characteristic |
| 219 | C2×C4×C53 | C2×SD16 | 1 | 1 | yes | characteristic |
| 220 | C2×C4×C53 | C2×SD16 | 1 | 1 | yes | characteristic |
| 221 | C2×C4×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 222 | C22⋊D53 | — | 4 | 2 | no | — |
| 223 | C22⋊D53 | — | 4 | 2 | no | — |
| 224 | C22⋊D53 | — | 4 | 4 | no | — |
| 225 | C22⋊D53 | — | 4 | 4 | no | — |
| 226 | C22⋊D53 | #102 | 1 | 4 | yes | — |
| 227 | C22⋊D53 | #102 | 1 | 4 | yes | — |
| 228 | C2×Dic53 | — | 4 | 1 | no | — |
| 229 | C2×Dic53 | — | 4 | 4 | no | — |
| 230 | C2×Dic53 | — | 4 | 1 | no | — |
| 231 | C2×Dic53 | — | 4 | 1 | no | — |
| 232 | C2×Dic53 | C2×D8 | 1 | 2 | yes | — |
| 233 | D212 | — | 2 | 2 | no | — |
| 234 | D212 | — | 4 | 4 | no | — |
| 235 | D212 | — | 4 | 1 | no | — |
| 236 | D212 | #102 | 1 | 2 | yes | — |
| 237 | D212 | #102 | 1 | 2 | yes | — |
| 238 | C4×D53 | — | 4 | 4 | no | — |
| 239 | C4×D53 | — | 4 | 2 | no | — |
| 240 | C4×D53 | — | 4 | 2 | no | — |
| 241 | C4×D53 | — | 4 | 4 | no | — |
| 242 | C4×D53 | — | 16 | 2 | no | — |
| 243 | C4×D53 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 244 | C4×D53 | C2×SD16 | 1 | 4 | yes | — |
| 245 | Dic106 | — | 2 | 2 | no | — |
| 246 | Dic106 | — | 4 | 1 | no | — |
| 247 | Dic106 | — | 4 | 4 | no | — |
| 248 | Dic106 | #102 | 1 | 2 | yes | — |
| 249 | Dic106 | #102 | 1 | 2 | yes | — |
| 250 | C8×C53 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 251 | C8×C53 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 252 | C8×C53 | C23×C4 | 1 | 1 | yes | characteristic |
| 253 | C8×C53 | C22×D4 | 1 | 1 | yes | characteristic |
| 254 | #88322 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 255 | #33388 | — | 53 | 1 | no | maximal, Sylow |
| 256 | C22×C53 | — | 4 | 1 | no | — |
| 257 | C22×C53 | — | 4 | 2 | no | — |
| 258 | C22×C53 | — | 16 | 1 | no | — |
| 259 | C22×C53 | C2×#102 | 1 | 1 | yes | characteristic |
| 260 | C22×C53 | C2×#102 | 1 | 1 | yes | characteristic |
| 261 | C22×C53 | C22×D8 | 1 | 1 | yes | characteristic |
| 262 | C2×D53 | — | 4 | 2 | no | — |
| 263 | C2×D53 | — | 4 | 2 | no | — |
| 264 | C2×D53 | — | 16 | 4 | no | — |
| 265 | C2×D53 | — | 16 | 1 | no | — |
| 266 | C2×D53 | C2×#102 | 1 | 4 | yes | — |
| 267 | C4×C53 | — | 4 | 2 | no | — |
| 268 | C4×C53 | — | 8 | 2 | no | — |
| 269 | C4×C53 | C2×#102 | 1 | 1 | yes | characteristic |
| 270 | C4×C53 | C2×#102 | 1 | 1 | yes | characteristic |
| 271 | C4×C53 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 272 | C4×C53 | C22×SD16 | 1 | 1 | yes | characteristic |
| 273 | Dic53 | — | 4 | 2 | no | — |
| 274 | Dic53 | — | 8 | 1 | no | — |
| 275 | Dic53 | — | 8 | 1 | no | — |
| 276 | Dic53 | C2×#102 | 1 | 4 | yes | — |
| 277 | #3584 | — | 53 | 1 | no | — |
| 278 | #3407 | — | 53 | 1 | no | — |
| 279 | #2912 | — | 53 | 1 | no | — |
| 280 | #2145 | — | 53 | 1 | no | — |
| 281 | #2145 | — | 53 | 4 | no | — |
| 282 | #2145 | — | 53 | 1 | no | — |
| 283 | C2×#360 | — | 53 | 1 | no | — |
| 284 | C2×#360 | — | 53 | 4 | no | — |
| 285 | C2×#360 | D53 | 1 | 1 | yes | characteristic, complemented |
| 286 | C2×C53 | — | 2 | 1 | no | — |
| 287 | C2×C53 | — | 2 | 1 | no | — |
| 288 | C2×C53 | — | 2 | 1 | no | — |
| 289 | C2×C53 | — | 8 | 2 | no | — |
| 290 | C2×C53 | C22×#102 | 1 | 1 | yes | characteristic |
| 291 | D53 | — | 2 | 4 | no | — |
| 292 | D53 | — | 8 | 2 | no | — |
| 293 | #585 | — | 106 | 1 | no | — |
| 294 | #578 | — | 53 | 2 | no | — |
| 295 | #578 | — | 53 | 2 | no | — |
| 296 | #577 | — | 106 | 2 | no | — |
| 297 | #577 | — | 106 | 2 | no | — |
| 298 | #576 | — | 53 | 2 | no | — |
| 299 | #576 | — | 53 | 2 | no | — |
| 300 | #575 | — | 106 | 2 | no | — |
| 301 | #575 | — | 106 | 1 | no | — |
| 302 | C2×#135 | — | 53 | 4 | no | — |
| 303 | C2×#135 | — | 53 | 1 | no | — |
| 304 | C2×#135 | C2×D53 | 1 | 1 | yes | characteristic |
| 305 | C2×#131 | — | 53 | 1 | no | — |
| 306 | #520 | — | 106 | 1 | no | — |
| 307 | #504 | — | 106 | 2 | no | — |
| 308 | #504 | — | 106 | 2 | no | — |
| 309 | C2×M32 | — | 53 | 1 | no | — |
| 310 | C2×M32 | — | 53 | 4 | no | — |
| 311 | C2×M32 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 312 | #428 | — | 106 | 2 | no | — |
| 313 | #428 | — | 106 | 1 | no | — |
| 314 | #427 | — | 53 | 1 | no | — |
| 315 | #427 | — | 53 | 2 | no | — |
| 316 | C2×#106 | — | 53 | 2 | no | — |
| 317 | C2×#106 | C2×D53 | 1 | 1 | yes | characteristic, complemented |
| 318 | #360 | — | 53 | 2 | no | — |
| 319 | #360 | — | 53 | 2 | no | — |
| 320 | #360 | — | 53 | 2 | no | — |
| 321 | #360 | — | 53 | 2 | no | — |
| 322 | #360 | — | 53 | 4 | no | — |
| 323 | #360 | C2×D53 | 1 | 4 | yes | complemented |
| 324 | C53 | #33388 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 325 | 2−1+4 | — | 106 | 2 | no | — |
| 326 | 2−1+4 | — | 106 | 2 | no | — |
| 327 | 2−1+4 | — | 212 | 1 | no | — |
| 328 | H(5,𝔽2) | — | 106 | 2 | no | — |
| 329 | H(5,𝔽2) | — | 106 | 2 | no | — |
| 330 | H(5,𝔽2) | — | 212 | 2 | no | — |
| 331 | H(5,𝔽2) | — | 212 | 1 | no | — |
| 332 | C2×#41 | — | 2 | 1 | no | — |
| 333 | C2×#41 | — | 53 | 1 | no | — |
| 334 | C2×#41 | — | 106 | 4 | no | — |
| 335 | C2×#41 | — | 106 | 1 | no | — |
| 336 | C2×#41 | — | 212 | 2 | no | — |
| 337 | C2×#41 | — | 212 | 2 | no | — |
| 338 | #137 | — | 106 | 4 | no | — |
| 339 | #137 | — | 106 | 4 | no | — |
| 340 | #137 | — | 106 | 2 | no | — |
| 341 | #137 | — | 106 | 2 | no | — |
| 342 | AGL(1,ℤ/8) | — | 106 | 4 | no | — |
| 343 | AGL(1,ℤ/8) | — | 106 | 4 | no | — |
| 344 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 345 | AGL(1,ℤ/8) | — | 106 | 2 | no | — |
| 346 | #135 | — | 2 | 1 | no | — |
| 347 | #135 | — | 2 | 1 | no | — |
| 348 | #135 | — | 53 | 4 | no | — |
| 349 | #135 | — | 53 | 4 | no | — |
| 350 | #135 | — | 53 | 2 | no | — |
| 351 | #135 | — | 53 | 2 | no | — |
| 352 | #135 | — | 106 | 4 | no | — |
| 353 | #135 | — | 106 | 4 | no | — |
| 354 | #135 | — | 106 | 1 | no | — |
| 355 | #135 | — | 106 | 1 | no | — |
| 356 | #135 | C4×D53 | 1 | 2 | yes | complemented |
| 357 | #135 | C22×D53 | 1 | 2 | yes | — |
| 358 | C2×Q16 | — | 53 | 4 | no | — |
| 359 | C2×Q16 | — | 53 | 1 | no | — |
| 360 | C2×Q16 | C4×D53 | 1 | 1 | yes | characteristic, complemented |
| 361 | C2×SD16 | — | 2 | 1 | no | — |
| 362 | C2×SD16 | — | 106 | 4 | no | — |
| 363 | C2×SD16 | — | 106 | 1 | no | — |
| 364 | C2×D8 | — | 53 | 4 | no | — |
| 365 | C2×D8 | — | 53 | 1 | no | — |
| 366 | C2×D8 | C4×D53 | 1 | 1 | yes | characteristic, complemented |
| 367 | #131 | — | 53 | 2 | no | — |
| 368 | #131 | — | 53 | 2 | no | — |
| 369 | #131 | — | 53 | 2 | no | — |
| 370 | #131 | — | 53 | 2 | no | — |
| 371 | C2×M16 | — | 53 | 1 | no | — |
| 372 | C2×M16 | — | 53 | 2 | no | — |
| 373 | C22×C8 | — | 53 | 2 | no | — |
| 374 | C22×C8 | C22×D53 | 1 | 1 | yes | characteristic |
| 375 | C4×Q8 | — | 212 | 1 | no | — |
| 376 | C4×D4 | — | 212 | 1 | no | — |
| 377 | C4×D4 | — | 212 | 2 | no | — |
| 378 | #117 | — | 106 | 2 | no | — |
| 379 | #117 | — | 106 | 1 | no | — |
| 380 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 381 | C2×C4⋊C4 | — | 106 | 2 | no | — |
| 382 | M32 | — | 2 | 1 | no | — |
| 383 | M32 | — | 53 | 2 | no | — |
| 384 | M32 | — | 106 | 4 | no | — |
| 385 | M32 | — | 106 | 1 | no | — |
| 386 | M32 | C22×D53 | 1 | 2 | yes | — |
| 387 | C2×C16 | — | 2 | 1 | no | — |
| 388 | C2×C16 | — | 106 | 4 | no | — |
| 389 | C2×C16 | — | 106 | 1 | no | — |
| 390 | #107 | — | 106 | 2 | no | — |
| 391 | #107 | — | 106 | 1 | no | — |
| 392 | #106 | — | 2 | 1 | no | — |
| 393 | #106 | — | 53 | 1 | no | — |
| 394 | #106 | — | 53 | 1 | no | — |
| 395 | #106 | — | 106 | 2 | no | — |
| 396 | #106 | C22×D53 | 1 | 2 | yes | — |
| 397 | #41 | — | 2 | 2 | no | — |
| 398 | #41 | — | 2 | 2 | no | — |
| 399 | #41 | — | 4 | 1 | no | — |
| 400 | #41 | — | 4 | 1 | no | — |
| 401 | #41 | — | 53 | 2 | no | — |
| 402 | #41 | — | 53 | 2 | no | — |
| 403 | #41 | — | 53 | 2 | no | — |
| 404 | #41 | — | 53 | 2 | no | — |
| 405 | #41 | — | 106 | 4 | no | — |
| 406 | #41 | — | 106 | 4 | no | — |
| 407 | #41 | — | 106 | 2 | no | — |
| 408 | #41 | — | 106 | 2 | no | — |
| 409 | #41 | — | 212 | 4 | no | — |
| 410 | #41 | — | 212 | 4 | no | — |
| 411 | #41 | — | 212 | 2 | no | — |
| 412 | #41 | — | 212 | 2 | no | — |
| 413 | #41 | — | 212 | 4 | no | — |
| 414 | #41 | — | 212 | 4 | no | — |
| 415 | #41 | — | 212 | 2 | no | — |
| 416 | #41 | — | 212 | 2 | no | — |
| 417 | #41 | — | 212 | 1 | no | — |
| 418 | #41 | — | 212 | 1 | no | — |
| 419 | C2×Q8 | — | 2 | 1 | no | — |
| 420 | C2×Q8 | — | 53 | 1 | no | — |
| 421 | C2×Q8 | — | 106 | 4 | no | — |
| 422 | C2×Q8 | — | 106 | 1 | no | — |
| 423 | C2×Q8 | — | 212 | 2 | no | — |
| 424 | C2×Q8 | — | 212 | 2 | no | — |
| 425 | C2×D4 | — | 2 | 1 | no | — |
| 426 | C2×D4 | — | 4 | 1 | no | — |
| 427 | C2×D4 | — | 53 | 2 | no | — |
| 428 | C2×D4 | — | 53 | 1 | no | — |
| 429 | C2×D4 | — | 106 | 4 | no | — |
| 430 | C2×D4 | — | 106 | 1 | no | — |
| 431 | C2×D4 | — | 212 | 2 | no | — |
| 432 | C2×D4 | — | 212 | 4 | no | — |
| 433 | C2×D4 | — | 212 | 2 | no | — |
| 434 | C2×D4 | — | 212 | 4 | no | — |
| 435 | C2×D4 | — | 212 | 4 | no | — |
| 436 | C2×D4 | — | 212 | 1 | no | — |
| 437 | C22×C4 | — | 4 | 1 | no | — |
| 438 | C22×C4 | — | 4 | 1 | no | — |
| 439 | C22×C4 | — | 53 | 2 | no | — |
| 440 | C22×C4 | — | 212 | 4 | no | — |
| 441 | C22×C4 | — | 212 | 2 | no | — |
| 442 | C22×C4 | — | 212 | 1 | no | — |
| 443 | C22×C4 | D4×D53 | 1 | 1 | yes | characteristic |
| 444 | Q16 | — | 2 | 1 | no | — |
| 445 | Q16 | — | 53 | 2 | no | — |
| 446 | Q16 | — | 106 | 4 | no | — |
| 447 | Q16 | — | 106 | 1 | no | — |
| 448 | Q16 | C2×C4×D53 | 1 | 2 | yes | — |
| 449 | SD16 | — | 2 | 2 | no | — |
| 450 | SD16 | — | 2 | 2 | no | — |
| 451 | SD16 | — | 106 | 4 | no | — |
| 452 | SD16 | — | 106 | 4 | no | — |
| 453 | SD16 | — | 106 | 2 | no | — |
| 454 | SD16 | — | 106 | 2 | no | — |
| 455 | D8 | — | 2 | 1 | no | — |
| 456 | D8 | — | 53 | 2 | no | — |
| 457 | D8 | — | 106 | 4 | no | — |
| 458 | D8 | — | 106 | 1 | no | — |
| 459 | D8 | C2×C4×D53 | 1 | 2 | yes | — |
| 460 | M16 | — | 53 | 2 | no | — |
| 461 | M16 | — | 53 | 2 | no | — |
| 462 | M16 | — | 53 | 4 | no | — |
| 463 | M16 | — | 53 | 4 | no | — |
| 464 | C2×C8 | — | 53 | 2 | no | — |
| 465 | C2×C8 | — | 53 | 4 | no | — |
| 466 | C2×C8 | — | 53 | 4 | no | — |
| 467 | C2×C8 | C2×C4×D53 | 1 | 1 | yes | characteristic |
| 468 | C2×C8 | C2×C4×D53 | 1 | 1 | yes | characteristic |
| 469 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 470 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 471 | C2×C8 | D4×D53 | 1 | 1 | yes | characteristic |
| 472 | C2×C8 | C23×D53 | 1 | 1 | yes | characteristic |
| 473 | C4⋊C4 | — | 2 | 2 | no | — |
| 474 | C4⋊C4 | — | 4 | 1 | no | — |
| 475 | C4⋊C4 | — | 106 | 1 | no | — |
| 476 | C4⋊C4 | — | 106 | 1 | no | — |
| 477 | C4⋊C4 | — | 212 | 2 | no | — |
| 478 | C22⋊C4 | — | 212 | 2 | no | — |
| 479 | C22⋊C4 | — | 212 | 1 | no | — |
| 480 | C42 | — | 212 | 2 | no | — |
| 481 | C42 | — | 212 | 1 | no | — |
| 482 | C16 | — | 2 | 2 | no | — |
| 483 | C16 | — | 106 | 2 | no | — |
| 484 | C23 | — | 4 | 1 | no | — |
| 485 | C23 | — | 53 | 2 | no | — |
| 486 | C23 | — | 212 | 4 | no | — |
| 487 | C23 | — | 212 | 1 | no | — |
| 488 | C23 | D8×D53 | 1 | 1 | yes | characteristic |
| 489 | Q8 | — | 2 | 2 | no | — |
| 490 | Q8 | — | 4 | 1 | no | — |
| 491 | Q8 | — | 53 | 2 | no | — |
| 492 | Q8 | — | 53 | 2 | no | — |
| 493 | Q8 | — | 106 | 2 | no | — |
| 494 | Q8 | — | 212 | 4 | no | — |
| 495 | Q8 | — | 212 | 1 | no | — |
| 496 | D4 | — | 2 | 2 | no | — |
| 497 | D4 | — | 4 | 2 | no | — |
| 498 | D4 | — | 4 | 2 | no | — |
| 499 | D4 | — | 4 | 1 | no | — |
| 500 | D4 | — | 53 | 4 | no | — |
| 501 | D4 | — | 53 | 4 | no | — |
| 502 | D4 | — | 53 | 2 | no | — |
| 503 | D4 | — | 53 | 2 | no | — |
| 504 | D4 | — | 106 | 2 | no | — |
| 505 | D4 | — | 212 | 4 | no | — |
| 506 | D4 | — | 212 | 4 | no | — |
| 507 | D4 | — | 212 | 4 | no | — |
| 508 | D4 | — | 212 | 2 | no | — |
| 509 | D4 | — | 212 | 2 | no | — |
| 510 | D4 | — | 212 | 1 | no | — |
| 511 | C2×C4 | — | 4 | 1 | no | — |
| 512 | C2×C4 | — | 4 | 2 | no | — |
| 513 | C2×C4 | — | 4 | 2 | no | — |
| 514 | C2×C4 | — | 4 | 2 | no | — |
| 515 | C2×C4 | — | 16 | 1 | no | — |
| 516 | C2×C4 | — | 53 | 2 | no | — |
| 517 | C2×C4 | — | 53 | 4 | no | — |
| 518 | C2×C4 | — | 53 | 4 | no | — |
| 519 | C2×C4 | — | 848 | 2 | no | — |
| 520 | C2×C4 | — | 212 | 4 | no | — |
| 521 | C2×C4 | — | 212 | 4 | no | — |
| 522 | C2×C4 | — | 212 | 4 | no | — |
| 523 | C2×C4 | — | 212 | 1 | no | — |
| 524 | C2×C4 | — | 212 | 1 | no | — |
| 525 | C2×C4 | — | 212 | 1 | no | — |
| 526 | C2×C4 | — | 212 | 2 | no | — |
| 527 | C2×C4 | — | 212 | 2 | no | — |
| 528 | C2×C4 | C22⋊C4×D53 | 1 | 1 | yes | characteristic |
| 529 | C2×C4 | C22⋊C4×D53 | 1 | 1 | yes | characteristic |
| 530 | C2×C4 | D8×D53 | 1 | 1 | yes | characteristic |
| 531 | C2×C4 | SD16×D53 | 1 | 1 | yes | characteristic |
| 532 | C2×C4 | SD16×D53 | 1 | 1 | yes | characteristic |
| 533 | C2×C4 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 534 | C8 | — | 53 | 4 | no | — |
| 535 | C8 | C22⋊C4×D53 | 1 | 1 | yes | characteristic |
| 536 | C8 | C22⋊C4×D53 | 1 | 1 | yes | characteristic |
| 537 | C8 | C22×C4×D53 | 1 | 1 | yes | characteristic |
| 538 | C8 | C2×D4×D53 | 1 | 1 | yes | characteristic |
| 539 | C22 | — | 4 | 1 | no | — |
| 540 | C22 | — | 4 | 2 | no | — |
| 541 | C22 | — | 16 | 1 | no | — |
| 542 | C22 | — | 53 | 4 | no | — |
| 543 | C22 | — | 848 | 1 | no | — |
| 544 | C22 | — | 848 | 4 | no | — |
| 545 | C22 | — | 212 | 2 | no | — |
| 546 | C22 | — | 212 | 2 | no | — |
| 547 | C22 | #102×D53 | 1 | 1 | yes | characteristic |
| 548 | C22 | #102×D53 | 1 | 1 | yes | characteristic |
| 549 | C22 | C2×D8×D53 | 1 | 1 | yes | characteristic |
| 550 | C4 | — | 4 | 2 | no | — |
| 551 | C4 | — | 8 | 2 | no | — |
| 552 | C4 | — | 53 | 4 | no | — |
| 553 | C4 | — | 424 | 1 | no | — |
| 554 | C4 | — | 424 | 1 | no | — |
| 555 | C4 | — | 212 | 2 | no | — |
| 556 | C4 | #102×D53 | 1 | 1 | yes | characteristic |
| 557 | C4 | #102×D53 | 1 | 1 | yes | characteristic |
| 558 | C4 | C2×C22⋊C4×D53 | 1 | 1 | yes | characteristic |
| 559 | C4 | C2×SD16×D53 | 1 | 1 | yes | characteristic |
| 560 | C2 | — | 2 | 1 | no | — |
| 561 | C2 | — | 2 | 1 | no | — |
| 562 | C2 | — | 2 | 1 | no | — |
| 563 | C2 | — | 8 | 2 | no | — |
| 564 | C2 | — | 106 | 4 | no | — |
| 565 | C2 | — | 424 | 2 | no | — |
| 566 | C2 | C2×#102×D53 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta