| 1 | C2×C31×#578 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C31×#2148 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C31×#362 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C31×#2145 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C31×#2141 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C31×#2117 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C31×#1814 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×C31×2−1+4 | — | 2 | 1 | no | — |
| 9 | C31×#578 | — | 2 | 2 | no | — |
| 10 | C31×#578 | — | 2 | 2 | no | — |
| 11 | C31×#578 | — | 2 | 2 | no | — |
| 12 | C31×#578 | C4 | 1 | 4 | yes | complemented |
| 13 | C2×C31×#137 | — | 2 | 2 | no | — |
| 14 | C2×C31×#137 | — | 2 | 1 | no | — |
| 15 | C2×C31×#135 | — | 2 | 1 | no | — |
| 16 | C2×C31×#135 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×Q16×C31 | — | 2 | 1 | no | — |
| 18 | C22×Q16×C31 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C31×#131 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C31×M32 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C31×M32 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C31×#108 | C22 | 1 | 1 | yes | characteristic |
| 23 | C31×#427 | C22 | 1 | 1 | yes | characteristic |
| 24 | C31×#421 | — | 2 | 1 | no | — |
| 25 | C31×#362 | — | 2 | 2 | no | — |
| 26 | C31×#362 | — | 2 | 1 | no | — |
| 27 | C31×#361 | — | 2 | 1 | no | — |
| 28 | C31×#360 | — | 2 | 2 | no | — |
| 29 | C31×#358 | — | 2 | 2 | no | — |
| 30 | C31×#350 | — | 2 | 2 | no | — |
| 31 | C31×#344 | — | 2 | 1 | no | — |
| 32 | C31×2−1+4 | — | 2 | 4 | no | — |
| 33 | C31×2−1+4 | — | 2 | 4 | no | — |
| 34 | C31×2−1+4 | — | 4 | 2 | no | — |
| 35 | C31×2−1+4 | — | 4 | 2 | no | — |
| 36 | C2×#41×C31 | — | 2 | 2 | no | — |
| 37 | C2×#41×C31 | — | 2 | 1 | no | — |
| 38 | C2×#41×C31 | — | 4 | 2 | no | — |
| 39 | C2×#41×C31 | — | 4 | 1 | no | — |
| 40 | C2×#41×C31 | D4 | 1 | 1 | yes | characteristic |
| 41 | C22×Q8×C31 | — | 2 | 2 | no | — |
| 42 | C22×Q8×C31 | — | 2 | 1 | no | — |
| 43 | C22×Q8×C31 | — | 4 | 1 | no | — |
| 44 | C31×#137 | — | 2 | 4 | no | — |
| 45 | C31×#137 | — | 2 | 8 | no | — |
| 46 | C31×#137 | — | 2 | 8 | no | — |
| 47 | C31×#137 | — | 2 | 4 | no | — |
| 48 | C31×#135 | — | 2 | 4 | no | — |
| 49 | C31×#135 | — | 2 | 4 | no | — |
| 50 | C31×#135 | — | 2 | 1 | no | — |
| 51 | C31×#135 | — | 2 | 1 | no | — |
| 52 | C31×#135 | C2×C4 | 1 | 2 | yes | — |
| 53 | C31×#135 | D4 | 1 | 2 | yes | — |
| 54 | C2×Q16×C31 | — | 2 | 2 | no | — |
| 55 | C2×Q16×C31 | — | 2 | 4 | no | — |
| 56 | C2×Q16×C31 | — | 2 | 4 | no | — |
| 57 | C2×Q16×C31 | — | 2 | 1 | no | — |
| 58 | C2×Q16×C31 | — | 2 | 1 | no | — |
| 59 | C2×Q16×C31 | — | 2 | 1 | no | — |
| 60 | C2×Q16×C31 | C2×C4 | 1 | 2 | yes | — |
| 61 | C2×Q16×C31 | D4 | 1 | 1 | yes | characteristic |
| 62 | C2×Q16×C31 | D4 | 1 | 2 | yes | — |
| 63 | C2×Q16×C31 | D4 | 1 | 2 | yes | — |
| 64 | C2×SD16×C31 | — | 2 | 2 | no | — |
| 65 | C2×SD16×C31 | — | 2 | 1 | no | — |
| 66 | C2×D8×C31 | D4 | 1 | 1 | yes | characteristic |
| 67 | C31×#131 | — | 2 | 1 | no | — |
| 68 | C31×#131 | — | 2 | 1 | no | — |
| 69 | C31×#131 | C2×C4 | 1 | 2 | yes | — |
| 70 | C31×#131 | D4 | 1 | 2 | yes | — |
| 71 | C2×M16×C31 | — | 2 | 1 | no | — |
| 72 | C2×M16×C31 | — | 2 | 1 | no | — |
| 73 | C2×M16×C31 | D4 | 1 | 1 | yes | characteristic |
| 74 | C22×C8×C31 | — | 2 | 1 | no | — |
| 75 | C22×C8×C31 | C23 | 1 | 1 | yes | characteristic |
| 76 | C31×#117 | — | 2 | 1 | no | — |
| 77 | C31×M32 | — | 2 | 1 | no | — |
| 78 | C31×M32 | — | 2 | 1 | no | — |
| 79 | C31×M32 | — | 2 | 1 | no | — |
| 80 | C31×M32 | — | 2 | 1 | no | — |
| 81 | C2×C16×C31 | — | 2 | 1 | no | — |
| 82 | C2×C16×C31 | — | 2 | 1 | no | — |
| 83 | C31×#108 | — | 2 | 1 | no | — |
| 84 | C31×#108 | — | 2 | 1 | no | — |
| 85 | C31×#107 | — | 2 | 1 | no | — |
| 86 | C31×#106 | — | 2 | 1 | no | — |
| 87 | C31×#104 | — | 4 | 2 | no | — |
| 88 | #41×C31 | — | 2 | 1 | no | — |
| 89 | #41×C31 | — | 2 | 1 | no | — |
| 90 | #41×C31 | — | 2 | 8 | no | — |
| 91 | #41×C31 | — | 2 | 2 | no | — |
| 92 | #41×C31 | — | 2 | 2 | no | — |
| 93 | #41×C31 | — | 4 | 4 | no | — |
| 94 | #41×C31 | — | 4 | 8 | no | — |
| 95 | #41×C31 | — | 4 | 8 | no | — |
| 96 | #41×C31 | — | 4 | 4 | no | — |
| 97 | #41×C31 | — | 4 | 4 | no | — |
| 98 | #41×C31 | — | 4 | 1 | no | — |
| 99 | #41×C31 | — | 4 | 1 | no | — |
| 100 | #41×C31 | C22⋊C4 | 1 | 2 | yes | — |
| 101 | #41×C31 | D8 | 1 | 2 | yes | — |
| 102 | C2×Q8×C31 | — | 2 | 8 | no | — |
| 103 | C2×Q8×C31 | — | 2 | 2 | no | — |
| 104 | C2×Q8×C31 | — | 2 | 2 | no | — |
| 105 | C2×Q8×C31 | — | 2 | 1 | no | — |
| 106 | C2×Q8×C31 | — | 2 | 2 | no | — |
| 107 | C2×Q8×C31 | — | 4 | 2 | no | — |
| 108 | C2×Q8×C31 | — | 4 | 4 | no | — |
| 109 | C2×Q8×C31 | — | 4 | 4 | no | — |
| 110 | C2×Q8×C31 | — | 4 | 4 | no | — |
| 111 | C2×Q8×C31 | — | 4 | 1 | no | — |
| 112 | C2×Q8×C31 | — | 4 | 1 | no | — |
| 113 | C2×Q8×C31 | — | 4 | 1 | no | — |
| 114 | C2×Q8×C31 | SD16 | 1 | 1 | yes | characteristic |
| 115 | C2×D4×C31 | — | 2 | 1 | no | — |
| 116 | C2×D4×C31 | — | 2 | 1 | no | — |
| 117 | C2×D4×C31 | — | 4 | 2 | no | — |
| 118 | C2×D4×C31 | — | 4 | 1 | no | — |
| 119 | C2×D4×C31 | SD16 | 1 | 1 | yes | characteristic |
| 120 | C22×C4×C31 | — | 2 | 1 | no | — |
| 121 | C22×C4×C31 | — | 4 | 2 | no | — |
| 122 | C22×C4×C31 | — | 4 | 2 | no | — |
| 123 | C22×C4×C31 | — | 4 | 1 | no | — |
| 124 | C22×C4×C31 | — | 4 | 1 | no | — |
| 125 | C22×C4×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | Q16×C31 | — | 2 | 8 | no | — |
| 127 | Q16×C31 | — | 2 | 2 | no | — |
| 128 | Q16×C31 | — | 2 | 1 | no | — |
| 129 | Q16×C31 | — | 2 | 2 | no | — |
| 130 | Q16×C31 | — | 2 | 2 | no | — |
| 131 | Q16×C31 | C22⋊C4 | 1 | 2 | yes | — |
| 132 | Q16×C31 | C22⋊C4 | 1 | 4 | yes | — |
| 133 | SD16×C31 | — | 2 | 8 | no | — |
| 134 | SD16×C31 | — | 2 | 2 | no | — |
| 135 | SD16×C31 | — | 2 | 2 | no | — |
| 136 | D8×C31 | — | 2 | 1 | no | — |
| 137 | D8×C31 | C22⋊C4 | 1 | 2 | yes | — |
| 138 | M16×C31 | — | 2 | 1 | no | — |
| 139 | M16×C31 | — | 2 | 2 | no | — |
| 140 | M16×C31 | — | 2 | 2 | no | — |
| 141 | M16×C31 | — | 4 | 1 | no | — |
| 142 | M16×C31 | — | 4 | 1 | no | — |
| 143 | M16×C31 | C22⋊C4 | 1 | 2 | yes | — |
| 144 | C2×C8×C31 | — | 2 | 1 | no | — |
| 145 | C2×C8×C31 | — | 2 | 2 | no | — |
| 146 | C2×C8×C31 | — | 2 | 2 | no | — |
| 147 | C2×C8×C31 | — | 4 | 1 | no | — |
| 148 | C2×C8×C31 | C22×C4 | 1 | 1 | yes | characteristic |
| 149 | C2×C8×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 150 | C2×C8×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | C2×C8×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 152 | C2×C8×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | C2×C8×C31 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | C4⋊C4×C31 | — | 4 | 1 | no | — |
| 155 | C22⋊C4×C31 | — | 4 | 1 | no | — |
| 156 | C42×C31 | — | 4 | 1 | no | — |
| 157 | C16×C31 | — | 4 | 1 | no | — |
| 158 | C16×C31 | — | 4 | 1 | no | — |
| 159 | #12751 | C31 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 160 | C23×C31 | — | 2 | 1 | no | — |
| 161 | C23×C31 | — | 4 | 1 | no | — |
| 162 | C23×C31 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 163 | Q8×C31 | — | 2 | 1 | no | — |
| 164 | Q8×C31 | — | 2 | 4 | no | — |
| 165 | Q8×C31 | — | 2 | 2 | no | — |
| 166 | Q8×C31 | — | 4 | 8 | no | — |
| 167 | Q8×C31 | — | 4 | 2 | no | — |
| 168 | Q8×C31 | — | 4 | 1 | no | — |
| 169 | Q8×C31 | — | 4 | 2 | no | — |
| 170 | Q8×C31 | — | 4 | 2 | no | — |
| 171 | Q8×C31 | #102 | 1 | 2 | yes | — |
| 172 | D4×C31 | — | 2 | 2 | no | — |
| 173 | D4×C31 | — | 2 | 2 | no | — |
| 174 | D4×C31 | — | 2 | 2 | no | — |
| 175 | D4×C31 | — | 2 | 1 | no | — |
| 176 | D4×C31 | — | 4 | 8 | no | — |
| 177 | D4×C31 | — | 4 | 2 | no | — |
| 178 | D4×C31 | — | 4 | 2 | no | — |
| 179 | D4×C31 | — | 4 | 1 | no | — |
| 180 | D4×C31 | #102 | 1 | 2 | yes | — |
| 181 | C2×C4×C31 | — | 2 | 1 | no | — |
| 182 | C2×C4×C31 | — | 2 | 2 | no | — |
| 183 | C2×C4×C31 | — | 2 | 2 | no | — |
| 184 | C2×C4×C31 | — | 4 | 8 | no | — |
| 185 | C2×C4×C31 | — | 4 | 8 | no | — |
| 186 | C2×C4×C31 | — | 4 | 2 | no | — |
| 187 | C2×C4×C31 | — | 4 | 2 | no | — |
| 188 | C2×C4×C31 | — | 4 | 2 | no | — |
| 189 | C2×C4×C31 | — | 4 | 1 | no | — |
| 190 | C2×C4×C31 | — | 4 | 2 | no | — |
| 191 | C2×C4×C31 | — | 4 | 2 | no | — |
| 192 | C2×C4×C31 | — | 8 | 1 | no | — |
| 193 | C2×C4×C31 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 194 | C2×C4×C31 | #120 | 1 | 1 | yes | characteristic |
| 195 | C2×C4×C31 | #120 | 1 | 1 | yes | characteristic |
| 196 | C2×C4×C31 | C2×D8 | 1 | 1 | yes | characteristic |
| 197 | C2×C4×C31 | C2×SD16 | 1 | 1 | yes | characteristic |
| 198 | C2×C4×C31 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 199 | C8×C31 | — | 2 | 2 | no | — |
| 200 | C8×C31 | — | 8 | 1 | no | — |
| 201 | C8×C31 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 202 | C8×C31 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 203 | C8×C31 | #120 | 1 | 1 | yes | characteristic |
| 204 | C8×C31 | #120 | 1 | 1 | yes | characteristic |
| 205 | C2×#578 | C2×C31 | 1 | 1 | yes | characteristic |
| 206 | #2148 | C2×C31 | 1 | 1 | yes | characteristic, complemented |
| 207 | C2×#362 | C2×C31 | 1 | 1 | yes | characteristic, complemented |
| 208 | #2145 | C2×C31 | 1 | 1 | yes | characteristic, complemented |
| 209 | #2141 | C2×C31 | 1 | 1 | yes | characteristic, complemented |
| 210 | #2117 | C2×C31 | 1 | 1 | yes | characteristic, complemented |
| 211 | #1814 | C2×C31 | 1 | 1 | yes | characteristic, complemented |
| 212 | C22×C31 | — | 2 | 2 | no | — |
| 213 | C22×C31 | — | 4 | 1 | no | — |
| 214 | C22×C31 | — | 4 | 2 | no | — |
| 215 | C22×C31 | — | 4 | 2 | no | — |
| 216 | C22×C31 | — | 8 | 2 | no | — |
| 217 | C22×C31 | #418 | 1 | 1 | yes | characteristic |
| 218 | C22×C31 | #447 | 1 | 1 | yes | characteristic |
| 219 | C22×C31 | #450 | 1 | 1 | yes | characteristic |
| 220 | C4×C31 | — | 2 | 2 | no | — |
| 221 | C4×C31 | — | 4 | 4 | no | — |
| 222 | C4×C31 | — | 4 | 2 | no | — |
| 223 | C4×C31 | — | 16 | 1 | no | — |
| 224 | C4×C31 | #379 | 1 | 1 | yes | characteristic |
| 225 | C4×C31 | C2×#102 | 1 | 1 | yes | characteristic |
| 226 | C4×C31 | #447 | 1 | 1 | yes | characteristic |
| 227 | C4×C31 | #450 | 1 | 1 | yes | characteristic |
| 228 | C2×2−1+4 | — | 2 | 1 | no | — |
| 229 | #578 | — | 2 | 2 | no | — |
| 230 | #578 | — | 2 | 2 | no | — |
| 231 | #578 | — | 2 | 2 | no | — |
| 232 | #578 | C4×C31 | 1 | 4 | yes | complemented |
| 233 | C2×#137 | — | 2 | 2 | no | — |
| 234 | C2×#137 | — | 2 | 1 | no | — |
| 235 | C2×#135 | — | 2 | 1 | no | — |
| 236 | C2×#135 | C22×C31 | 1 | 1 | yes | characteristic |
| 237 | C22×Q16 | — | 2 | 1 | no | — |
| 238 | C22×Q16 | C22×C31 | 1 | 1 | yes | characteristic |
| 239 | C2×#131 | C22×C31 | 1 | 1 | yes | characteristic |
| 240 | C2×M32 | C22×C31 | 1 | 1 | yes | characteristic |
| 241 | C2×M32 | C22×C31 | 1 | 1 | yes | characteristic |
| 242 | C2×#108 | C22×C31 | 1 | 1 | yes | characteristic |
| 243 | #427 | C22×C31 | 1 | 1 | yes | characteristic |
| 244 | #421 | — | 2 | 1 | no | — |
| 245 | #362 | — | 2 | 2 | no | — |
| 246 | #362 | — | 2 | 1 | no | — |
| 247 | #361 | — | 2 | 1 | no | — |
| 248 | #360 | — | 2 | 2 | no | — |
| 249 | #358 | — | 2 | 2 | no | — |
| 250 | #350 | — | 2 | 2 | no | — |
| 251 | #344 | — | 2 | 1 | no | — |
| 252 | C2×C31 | — | 2 | 1 | no | — |
| 253 | C2×C31 | — | 2 | 1 | no | — |
| 254 | C2×C31 | — | 2 | 1 | no | — |
| 255 | C2×C31 | — | 4 | 2 | no | — |
| 256 | C2×C31 | — | 8 | 2 | no | — |
| 257 | C2×C31 | #1786 | 1 | 1 | yes | characteristic |
| 258 | 2−1+4 | — | 2 | 4 | no | — |
| 259 | 2−1+4 | — | 2 | 4 | no | — |
| 260 | 2−1+4 | — | 4 | 2 | no | — |
| 261 | 2−1+4 | — | 4 | 2 | no | — |
| 262 | C2×#41 | — | 2 | 2 | no | — |
| 263 | C2×#41 | — | 2 | 1 | no | — |
| 264 | C2×#41 | — | 4 | 2 | no | — |
| 265 | C2×#41 | — | 4 | 1 | no | — |
| 266 | C2×#41 | D4×C31 | 1 | 1 | yes | characteristic |
| 267 | C22×Q8 | — | 2 | 2 | no | — |
| 268 | C22×Q8 | — | 2 | 1 | no | — |
| 269 | C22×Q8 | — | 4 | 1 | no | — |
| 270 | #137 | — | 2 | 4 | no | — |
| 271 | #137 | — | 2 | 8 | no | — |
| 272 | #137 | — | 2 | 8 | no | — |
| 273 | #137 | — | 2 | 4 | no | — |
| 274 | #135 | — | 2 | 4 | no | — |
| 275 | #135 | — | 2 | 4 | no | — |
| 276 | #135 | — | 2 | 1 | no | — |
| 277 | #135 | — | 2 | 1 | no | — |
| 278 | #135 | C2×C4×C31 | 1 | 2 | yes | — |
| 279 | #135 | D4×C31 | 1 | 2 | yes | — |
| 280 | C2×Q16 | — | 2 | 2 | no | — |
| 281 | C2×Q16 | — | 2 | 4 | no | — |
| 282 | C2×Q16 | — | 2 | 4 | no | — |
| 283 | C2×Q16 | — | 2 | 1 | no | — |
| 284 | C2×Q16 | — | 2 | 1 | no | — |
| 285 | C2×Q16 | — | 2 | 1 | no | — |
| 286 | C2×Q16 | C2×C4×C31 | 1 | 2 | yes | — |
| 287 | C2×Q16 | D4×C31 | 1 | 1 | yes | characteristic |
| 288 | C2×Q16 | D4×C31 | 1 | 2 | yes | — |
| 289 | C2×Q16 | D4×C31 | 1 | 2 | yes | — |
| 290 | C2×SD16 | — | 2 | 2 | no | — |
| 291 | C2×SD16 | — | 2 | 1 | no | — |
| 292 | C2×D8 | D4×C31 | 1 | 1 | yes | characteristic |
| 293 | #131 | — | 2 | 1 | no | — |
| 294 | #131 | — | 2 | 1 | no | — |
| 295 | #131 | C2×C4×C31 | 1 | 2 | yes | — |
| 296 | #131 | D4×C31 | 1 | 2 | yes | — |
| 297 | C2×M16 | — | 2 | 1 | no | — |
| 298 | C2×M16 | — | 2 | 1 | no | — |
| 299 | C2×M16 | D4×C31 | 1 | 1 | yes | characteristic |
| 300 | C22×C8 | — | 2 | 1 | no | — |
| 301 | C22×C8 | C23×C31 | 1 | 1 | yes | characteristic |
| 302 | #117 | — | 2 | 1 | no | — |
| 303 | M32 | — | 2 | 1 | no | — |
| 304 | M32 | — | 2 | 1 | no | — |
| 305 | M32 | — | 2 | 1 | no | — |
| 306 | M32 | — | 2 | 1 | no | — |
| 307 | C2×C16 | — | 2 | 1 | no | — |
| 308 | C2×C16 | — | 2 | 1 | no | — |
| 309 | #108 | — | 2 | 1 | no | — |
| 310 | #108 | — | 2 | 1 | no | — |
| 311 | #107 | — | 2 | 1 | no | — |
| 312 | #106 | — | 2 | 1 | no | — |
| 313 | #104 | — | 4 | 2 | no | — |
| 314 | C31 | #12751 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 315 | #41 | — | 2 | 1 | no | — |
| 316 | #41 | — | 2 | 1 | no | — |
| 317 | #41 | — | 2 | 8 | no | — |
| 318 | #41 | — | 2 | 2 | no | — |
| 319 | #41 | — | 2 | 2 | no | — |
| 320 | #41 | — | 4 | 4 | no | — |
| 321 | #41 | — | 4 | 8 | no | — |
| 322 | #41 | — | 4 | 8 | no | — |
| 323 | #41 | — | 4 | 4 | no | — |
| 324 | #41 | — | 4 | 4 | no | — |
| 325 | #41 | — | 4 | 1 | no | — |
| 326 | #41 | — | 4 | 1 | no | — |
| 327 | #41 | C22⋊C4×C31 | 1 | 2 | yes | — |
| 328 | #41 | D8×C31 | 1 | 2 | yes | — |
| 329 | C2×Q8 | — | 2 | 8 | no | — |
| 330 | C2×Q8 | — | 2 | 2 | no | — |
| 331 | C2×Q8 | — | 2 | 2 | no | — |
| 332 | C2×Q8 | — | 2 | 1 | no | — |
| 333 | C2×Q8 | — | 2 | 2 | no | — |
| 334 | C2×Q8 | — | 4 | 2 | no | — |
| 335 | C2×Q8 | — | 4 | 4 | no | — |
| 336 | C2×Q8 | — | 4 | 4 | no | — |
| 337 | C2×Q8 | — | 4 | 4 | no | — |
| 338 | C2×Q8 | — | 4 | 1 | no | — |
| 339 | C2×Q8 | — | 4 | 1 | no | — |
| 340 | C2×Q8 | — | 4 | 1 | no | — |
| 341 | C2×Q8 | SD16×C31 | 1 | 1 | yes | characteristic |
| 342 | C2×D4 | — | 2 | 1 | no | — |
| 343 | C2×D4 | — | 2 | 1 | no | — |
| 344 | C2×D4 | — | 4 | 2 | no | — |
| 345 | C2×D4 | — | 4 | 1 | no | — |
| 346 | C2×D4 | SD16×C31 | 1 | 1 | yes | characteristic |
| 347 | C22×C4 | — | 2 | 1 | no | — |
| 348 | C22×C4 | — | 4 | 2 | no | — |
| 349 | C22×C4 | — | 4 | 2 | no | — |
| 350 | C22×C4 | — | 4 | 1 | no | — |
| 351 | C22×C4 | — | 4 | 1 | no | — |
| 352 | C22×C4 | C2×D4×C31 | 1 | 1 | yes | characteristic |
| 353 | Q16 | — | 2 | 8 | no | — |
| 354 | Q16 | — | 2 | 2 | no | — |
| 355 | Q16 | — | 2 | 1 | no | — |
| 356 | Q16 | — | 2 | 2 | no | — |
| 357 | Q16 | — | 2 | 2 | no | — |
| 358 | Q16 | C22⋊C4×C31 | 1 | 2 | yes | — |
| 359 | Q16 | C22⋊C4×C31 | 1 | 4 | yes | — |
| 360 | SD16 | — | 2 | 8 | no | — |
| 361 | SD16 | — | 2 | 2 | no | — |
| 362 | SD16 | — | 2 | 2 | no | — |
| 363 | D8 | — | 2 | 1 | no | — |
| 364 | D8 | C22⋊C4×C31 | 1 | 2 | yes | — |
| 365 | M16 | — | 2 | 1 | no | — |
| 366 | M16 | — | 2 | 2 | no | — |
| 367 | M16 | — | 2 | 2 | no | — |
| 368 | M16 | — | 4 | 1 | no | — |
| 369 | M16 | — | 4 | 1 | no | — |
| 370 | M16 | C22⋊C4×C31 | 1 | 2 | yes | — |
| 371 | C2×C8 | — | 2 | 1 | no | — |
| 372 | C2×C8 | — | 2 | 2 | no | — |
| 373 | C2×C8 | — | 2 | 2 | no | — |
| 374 | C2×C8 | — | 4 | 1 | no | — |
| 375 | C2×C8 | C22×C4×C31 | 1 | 1 | yes | characteristic |
| 376 | C2×C8 | C2×D4×C31 | 1 | 1 | yes | characteristic |
| 377 | C2×C8 | C2×D4×C31 | 1 | 1 | yes | characteristic |
| 378 | C2×C8 | C2×D4×C31 | 1 | 1 | yes | characteristic |
| 379 | C2×C8 | C2×D4×C31 | 1 | 1 | yes | characteristic |
| 380 | C2×C8 | C2×D4×C31 | 1 | 1 | yes | characteristic |
| 381 | C4⋊C4 | — | 4 | 1 | no | — |
| 382 | C22⋊C4 | — | 4 | 1 | no | — |
| 383 | C42 | — | 4 | 1 | no | — |
| 384 | C16 | — | 4 | 1 | no | — |
| 385 | C16 | — | 4 | 1 | no | — |
| 386 | C23 | — | 2 | 1 | no | — |
| 387 | C23 | — | 4 | 1 | no | — |
| 388 | C23 | C31×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 389 | Q8 | — | 2 | 1 | no | — |
| 390 | Q8 | — | 2 | 4 | no | — |
| 391 | Q8 | — | 2 | 2 | no | — |
| 392 | Q8 | — | 4 | 8 | no | — |
| 393 | Q8 | — | 4 | 2 | no | — |
| 394 | Q8 | — | 4 | 1 | no | — |
| 395 | Q8 | — | 4 | 2 | no | — |
| 396 | Q8 | — | 4 | 2 | no | — |
| 397 | Q8 | C31×#102 | 1 | 2 | yes | — |
| 398 | D4 | — | 2 | 2 | no | — |
| 399 | D4 | — | 2 | 2 | no | — |
| 400 | D4 | — | 2 | 1 | no | — |
| 401 | D4 | — | 2 | 2 | no | — |
| 402 | D4 | — | 4 | 8 | no | — |
| 403 | D4 | — | 4 | 2 | no | — |
| 404 | D4 | — | 4 | 2 | no | — |
| 405 | D4 | — | 4 | 1 | no | — |
| 406 | D4 | C31×#102 | 1 | 2 | yes | — |
| 407 | C2×C4 | — | 2 | 1 | no | — |
| 408 | C2×C4 | — | 2 | 2 | no | — |
| 409 | C2×C4 | — | 2 | 2 | no | — |
| 410 | C2×C4 | — | 4 | 8 | no | — |
| 411 | C2×C4 | — | 4 | 8 | no | — |
| 412 | C2×C4 | — | 4 | 2 | no | — |
| 413 | C2×C4 | — | 4 | 2 | no | — |
| 414 | C2×C4 | — | 4 | 2 | no | — |
| 415 | C2×C4 | — | 4 | 1 | no | — |
| 416 | C2×C4 | — | 4 | 2 | no | — |
| 417 | C2×C4 | — | 4 | 2 | no | — |
| 418 | C2×C4 | — | 8 | 1 | no | — |
| 419 | C2×C4 | C2×C22⋊C4×C31 | 1 | 1 | yes | characteristic |
| 420 | C2×C4 | C31×#120 | 1 | 1 | yes | characteristic |
| 421 | C2×C4 | C31×#120 | 1 | 1 | yes | characteristic |
| 422 | C2×C4 | C2×D8×C31 | 1 | 1 | yes | characteristic |
| 423 | C2×C4 | C2×SD16×C31 | 1 | 1 | yes | characteristic |
| 424 | C2×C4 | C31×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 425 | C8 | — | 2 | 2 | no | — |
| 426 | C8 | — | 8 | 1 | no | — |
| 427 | C8 | C2×C22⋊C4×C31 | 1 | 1 | yes | characteristic |
| 428 | C8 | C2×C22⋊C4×C31 | 1 | 1 | yes | characteristic |
| 429 | C8 | C31×#120 | 1 | 1 | yes | characteristic |
| 430 | C8 | C31×#120 | 1 | 1 | yes | characteristic |
| 431 | C22 | — | 2 | 2 | no | — |
| 432 | C22 | — | 4 | 1 | no | — |
| 433 | C22 | — | 4 | 2 | no | — |
| 434 | C22 | — | 4 | 2 | no | — |
| 435 | C22 | — | 8 | 2 | no | — |
| 436 | C22 | C31×#418 | 1 | 1 | yes | characteristic |
| 437 | C22 | C31×#447 | 1 | 1 | yes | characteristic |
| 438 | C22 | C31×#450 | 1 | 1 | yes | characteristic |
| 439 | C4 | — | 2 | 2 | no | — |
| 440 | C4 | — | 4 | 4 | no | — |
| 441 | C4 | — | 4 | 2 | no | — |
| 442 | C4 | — | 16 | 1 | no | — |
| 443 | C4 | C31×#379 | 1 | 1 | yes | characteristic |
| 444 | C4 | C2×C31×#102 | 1 | 1 | yes | characteristic |
| 445 | C4 | C31×#447 | 1 | 1 | yes | characteristic |
| 446 | C4 | C31×#450 | 1 | 1 | yes | characteristic |
| 447 | C2 | — | 2 | 1 | no | — |
| 448 | C2 | — | 2 | 1 | no | — |
| 449 | C2 | — | 2 | 1 | no | — |
| 450 | C2 | — | 4 | 2 | no | — |
| 451 | C2 | — | 8 | 2 | no | — |
| 452 | C2 | C31×#1786 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta