| 1 | #3067×C137 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #2912×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #2145×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#360×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #2117×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #1389×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #1383×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #575×C137 | — | 2 | 1 | no | — |
| 9 | C2×#135×C137 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×#131×C137 | C22 | 1 | 1 | yes | characteristic |
| 11 | #520×C137 | — | 2 | 1 | no | — |
| 12 | C2×M32×C137 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×M32×C137 | C22 | 1 | 1 | yes | characteristic |
| 14 | #473×C137 | C4 | 1 | 2 | yes | complemented |
| 15 | #472×C137 | C4 | 1 | 2 | yes | complemented |
| 16 | #471×C137 | — | 2 | 2 | no | — |
| 17 | C2×#108×C137 | C22 | 1 | 1 | yes | characteristic |
| 18 | #428×C137 | — | 2 | 1 | no | — |
| 19 | #428×C137 | — | 2 | 2 | no | — |
| 20 | #427×C137 | — | 2 | 1 | no | — |
| 21 | #427×C137 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#106×C137 | — | 2 | 1 | no | — |
| 23 | C2×#106×C137 | C22 | 1 | 1 | yes | characteristic |
| 24 | #413×C137 | — | 2 | 1 | no | — |
| 25 | #360×C137 | — | 2 | 2 | no | — |
| 26 | #360×C137 | — | 2 | 1 | no | — |
| 27 | #360×C137 | — | 2 | 1 | no | — |
| 28 | #350×C137 | — | 2 | 2 | no | — |
| 29 | C2×#41×C137 | — | 2 | 1 | no | — |
| 30 | C2×#41×C137 | D4 | 1 | 1 | yes | characteristic |
| 31 | #137×C137 | — | 2 | 2 | no | — |
| 32 | #137×C137 | — | 4 | 1 | no | — |
| 33 | AGL(1,ℤ/8)×C137 | — | 2 | 2 | no | — |
| 34 | AGL(1,ℤ/8)×C137 | — | 4 | 1 | no | — |
| 35 | #135×C137 | — | 2 | 1 | no | — |
| 36 | #135×C137 | — | 2 | 1 | no | — |
| 37 | #135×C137 | — | 2 | 1 | no | — |
| 38 | #135×C137 | — | 2 | 1 | no | — |
| 39 | #135×C137 | — | 4 | 2 | no | — |
| 40 | C2×Q16×C137 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 41 | C2×SD16×C137 | — | 2 | 1 | no | — |
| 42 | C2×D8×C137 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 43 | #131×C137 | — | 2 | 1 | no | — |
| 44 | #131×C137 | — | 2 | 1 | no | — |
| 45 | #131×C137 | C2×C4 | 1 | 2 | yes | — |
| 46 | #131×C137 | D4 | 1 | 2 | yes | — |
| 47 | C2×M16×C137 | — | 2 | 1 | no | — |
| 48 | C2×M16×C137 | — | 2 | 1 | no | — |
| 49 | C2×M16×C137 | D4 | 1 | 1 | yes | characteristic |
| 50 | C22×C8×C137 | — | 2 | 1 | no | — |
| 51 | C22×C8×C137 | C23 | 1 | 1 | yes | characteristic |
| 52 | C4×Q8×C137 | — | 4 | 1 | no | — |
| 53 | C4×D4×C137 | — | 4 | 2 | no | — |
| 54 | C4×D4×C137 | — | 4 | 1 | no | — |
| 55 | #117×C137 | — | 2 | 2 | no | — |
| 56 | #117×C137 | — | 2 | 1 | no | — |
| 57 | C2×C4⋊C4×C137 | — | 2 | 2 | no | — |
| 58 | C2×C4⋊C4×C137 | — | 2 | 1 | no | — |
| 59 | M32×C137 | — | 2 | 1 | no | — |
| 60 | M32×C137 | — | 2 | 1 | no | — |
| 61 | M32×C137 | — | 2 | 1 | no | — |
| 62 | M32×C137 | — | 2 | 1 | no | — |
| 63 | C2×C16×C137 | — | 2 | 1 | no | — |
| 64 | C2×C16×C137 | — | 2 | 1 | no | — |
| 65 | #108×C137 | — | 2 | 1 | no | — |
| 66 | #108×C137 | C2×C4 | 1 | 2 | yes | complemented |
| 67 | #107×C137 | — | 2 | 2 | no | — |
| 68 | #107×C137 | — | 2 | 1 | no | — |
| 69 | #106×C137 | — | 2 | 2 | no | — |
| 70 | #106×C137 | — | 2 | 1 | no | — |
| 71 | #106×C137 | D4 | 1 | 1 | yes | characteristic |
| 72 | #106×C137 | D4 | 1 | 2 | yes | — |
| 73 | #106×C137 | D4 | 1 | 1 | yes | characteristic |
| 74 | #101×C137 | — | 2 | 2 | no | — |
| 75 | #100×C137 | — | 2 | 2 | no | — |
| 76 | #41×C137 | — | 2 | 1 | no | — |
| 77 | #41×C137 | — | 2 | 1 | no | — |
| 78 | #41×C137 | — | 4 | 1 | no | — |
| 79 | #41×C137 | — | 4 | 1 | no | — |
| 80 | #41×C137 | — | 4 | 1 | no | — |
| 81 | #41×C137 | — | 4 | 1 | no | — |
| 82 | #41×C137 | C22⋊C4 | 1 | 2 | yes | — |
| 83 | #41×C137 | SD16 | 1 | 2 | yes | — |
| 84 | C2×Q8×C137 | — | 2 | 1 | no | — |
| 85 | C2×Q8×C137 | D8 | 1 | 1 | yes | characteristic |
| 86 | C2×D4×C137 | — | 2 | 1 | no | — |
| 87 | C2×D4×C137 | — | 2 | 1 | no | — |
| 88 | C2×D4×C137 | — | 4 | 1 | no | — |
| 89 | C2×D4×C137 | D8 | 1 | 1 | yes | characteristic |
| 90 | C22×C4×C137 | — | 2 | 1 | no | — |
| 91 | C22×C4×C137 | — | 4 | 2 | no | — |
| 92 | C22×C4×C137 | — | 4 | 1 | no | — |
| 93 | C22×C4×C137 | — | 4 | 1 | no | — |
| 94 | C22×C4×C137 | C2×D4 | 1 | 1 | yes | characteristic |
| 95 | Q16×C137 | — | 2 | 1 | no | — |
| 96 | Q16×C137 | — | 2 | 1 | no | — |
| 97 | Q16×C137 | — | 4 | 2 | no | — |
| 98 | SD16×C137 | — | 4 | 2 | no | — |
| 99 | SD16×C137 | — | 4 | 2 | no | — |
| 100 | SD16×C137 | — | 4 | 1 | no | — |
| 101 | SD16×C137 | — | 4 | 1 | no | — |
| 102 | D8×C137 | — | 2 | 1 | no | — |
| 103 | D8×C137 | — | 2 | 1 | no | — |
| 104 | D8×C137 | — | 4 | 2 | no | — |
| 105 | M16×C137 | — | 2 | 1 | no | — |
| 106 | M16×C137 | — | 2 | 2 | no | — |
| 107 | M16×C137 | — | 2 | 2 | no | — |
| 108 | M16×C137 | — | 2 | 2 | no | — |
| 109 | M16×C137 | — | 4 | 1 | no | — |
| 110 | M16×C137 | C22⋊C4 | 1 | 2 | yes | — |
| 111 | C2×C8×C137 | — | 2 | 1 | no | — |
| 112 | C2×C8×C137 | — | 2 | 2 | no | — |
| 113 | C2×C8×C137 | — | 2 | 2 | no | — |
| 114 | C2×C8×C137 | — | 4 | 1 | no | — |
| 115 | C2×C8×C137 | C22×C4 | 1 | 1 | yes | characteristic |
| 116 | C2×C8×C137 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | C2×C8×C137 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C2×C8×C137 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C2×C8×C137 | #41 | 1 | 1 | yes | characteristic |
| 120 | C2×C8×C137 | #41 | 1 | 1 | yes | characteristic |
| 121 | C4⋊C4×C137 | — | 2 | 1 | no | — |
| 122 | C4⋊C4×C137 | — | 2 | 2 | no | — |
| 123 | C4⋊C4×C137 | — | 2 | 1 | no | — |
| 124 | C4⋊C4×C137 | — | 4 | 2 | no | — |
| 125 | C4⋊C4×C137 | — | 4 | 1 | no | — |
| 126 | C22⋊C4×C137 | — | 4 | 2 | no | — |
| 127 | C22⋊C4×C137 | — | 4 | 1 | no | — |
| 128 | C42×C137 | — | 4 | 2 | no | — |
| 129 | C42×C137 | — | 4 | 1 | no | — |
| 130 | C16×C137 | — | 4 | 1 | no | — |
| 131 | C16×C137 | — | 4 | 1 | no | — |
| 132 | C23×C137 | — | 2 | 1 | no | — |
| 133 | C23×C137 | — | 4 | 1 | no | — |
| 134 | C23×C137 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 135 | Q8×C137 | — | 2 | 1 | no | — |
| 136 | Q8×C137 | — | 4 | 1 | no | — |
| 137 | Q8×C137 | — | 4 | 1 | no | — |
| 138 | Q8×C137 | #102 | 1 | 2 | yes | — |
| 139 | D4×C137 | — | 2 | 2 | no | — |
| 140 | D4×C137 | — | 2 | 2 | no | — |
| 141 | D4×C137 | — | 2 | 1 | no | — |
| 142 | D4×C137 | — | 4 | 1 | no | — |
| 143 | D4×C137 | — | 4 | 1 | no | — |
| 144 | D4×C137 | — | 8 | 1 | no | — |
| 145 | D4×C137 | — | 8 | 1 | no | — |
| 146 | D4×C137 | #102 | 1 | 2 | yes | — |
| 147 | C2×C4×C137 | — | 2 | 1 | no | — |
| 148 | C2×C4×C137 | — | 2 | 2 | no | — |
| 149 | C2×C4×C137 | — | 2 | 2 | no | — |
| 150 | C2×C4×C137 | — | 4 | 1 | no | — |
| 151 | C2×C4×C137 | — | 4 | 1 | no | — |
| 152 | C2×C4×C137 | — | 4 | 2 | no | — |
| 153 | C2×C4×C137 | — | 4 | 1 | no | — |
| 154 | C2×C4×C137 | — | 8 | 1 | no | — |
| 155 | C2×C4×C137 | — | 8 | 1 | no | — |
| 156 | C2×C4×C137 | — | 16 | 1 | no | — |
| 157 | C2×C4×C137 | — | 16 | 2 | no | — |
| 158 | C2×C4×C137 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 159 | C2×C4×C137 | #120 | 1 | 1 | yes | characteristic |
| 160 | C2×C4×C137 | #123 | 1 | 1 | yes | characteristic |
| 161 | C2×C4×C137 | C2×D8 | 1 | 1 | yes | characteristic |
| 162 | C2×C4×C137 | C2×SD16 | 1 | 1 | yes | characteristic |
| 163 | C2×C4×C137 | #137 | 1 | 1 | yes | characteristic |
| 164 | C8×C137 | — | 2 | 2 | no | — |
| 165 | C8×C137 | — | 4 | 2 | no | — |
| 166 | C8×C137 | C4×D4 | 1 | 1 | yes | characteristic |
| 167 | C8×C137 | C4×D4 | 1 | 1 | yes | characteristic |
| 168 | C8×C137 | #121 | 1 | 1 | yes | characteristic |
| 169 | C8×C137 | #121 | 1 | 1 | yes | characteristic |
| 170 | C22×C137 | — | 2 | 2 | no | — |
| 171 | C22×C137 | — | 4 | 1 | no | — |
| 172 | C22×C137 | — | 4 | 2 | no | — |
| 173 | C22×C137 | — | 8 | 1 | no | — |
| 174 | C22×C137 | — | 16 | 1 | no | — |
| 175 | C22×C137 | #417 | 1 | 1 | yes | characteristic |
| 176 | C22×C137 | #447 | 1 | 1 | yes | characteristic |
| 177 | C22×C137 | #481 | 1 | 1 | yes | characteristic |
| 178 | C4×C137 | — | 2 | 2 | no | — |
| 179 | C4×C137 | — | 8 | 1 | no | — |
| 180 | C4×C137 | — | 8 | 2 | no | — |
| 181 | C4×C137 | — | 8 | 1 | no | — |
| 182 | C4×C137 | — | 8 | 1 | no | — |
| 183 | C4×C137 | #386 | 1 | 1 | yes | characteristic |
| 184 | C4×C137 | C2×#102 | 1 | 1 | yes | characteristic |
| 185 | C4×C137 | #448 | 1 | 1 | yes | characteristic |
| 186 | C4×C137 | #480 | 1 | 1 | yes | characteristic |
| 187 | C2×C137 | — | 2 | 1 | no | — |
| 188 | C2×C137 | — | 2 | 1 | no | — |
| 189 | C2×C137 | — | 2 | 1 | no | — |
| 190 | C2×C137 | — | 4 | 2 | no | — |
| 191 | C2×C137 | — | 16 | 1 | no | — |
| 192 | C2×C137 | #1874 | 1 | 1 | yes | characteristic |
| 193 | #13005 | C137 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 194 | C137 | #13005 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 195 | #3067 | C2×C137 | 1 | 1 | yes | characteristic |
| 196 | #2912 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 197 | #2145 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 198 | C2×#360 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 199 | #2117 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 200 | #1389 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 201 | #1383 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 202 | #575 | — | 2 | 1 | no | — |
| 203 | C2×#135 | C22×C137 | 1 | 1 | yes | characteristic |
| 204 | C2×#131 | C22×C137 | 1 | 1 | yes | characteristic |
| 205 | #520 | — | 2 | 1 | no | — |
| 206 | C2×M32 | C22×C137 | 1 | 1 | yes | characteristic |
| 207 | C2×M32 | C22×C137 | 1 | 1 | yes | characteristic |
| 208 | #473 | C4×C137 | 1 | 2 | yes | complemented |
| 209 | #472 | C4×C137 | 1 | 2 | yes | complemented |
| 210 | #471 | — | 2 | 2 | no | — |
| 211 | C2×#108 | C22×C137 | 1 | 1 | yes | characteristic |
| 212 | #428 | — | 2 | 1 | no | — |
| 213 | #428 | — | 2 | 2 | no | — |
| 214 | #427 | — | 2 | 1 | no | — |
| 215 | #427 | C22×C137 | 1 | 1 | yes | characteristic |
| 216 | C2×#106 | — | 2 | 1 | no | — |
| 217 | C2×#106 | C22×C137 | 1 | 1 | yes | characteristic |
| 218 | #413 | — | 2 | 1 | no | — |
| 219 | #360 | — | 2 | 2 | no | — |
| 220 | #360 | — | 2 | 1 | no | — |
| 221 | #360 | — | 2 | 1 | no | — |
| 222 | #350 | — | 2 | 2 | no | — |
| 223 | C2×#41 | — | 2 | 1 | no | — |
| 224 | C2×#41 | D4×C137 | 1 | 1 | yes | characteristic |
| 225 | #137 | — | 2 | 2 | no | — |
| 226 | #137 | — | 4 | 1 | no | — |
| 227 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 228 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 229 | #135 | — | 2 | 1 | no | — |
| 230 | #135 | — | 2 | 1 | no | — |
| 231 | #135 | — | 2 | 1 | no | — |
| 232 | #135 | — | 2 | 1 | no | — |
| 233 | #135 | — | 4 | 2 | no | — |
| 234 | C2×Q16 | C2×C4×C137 | 1 | 1 | yes | characteristic, complemented |
| 235 | C2×SD16 | — | 2 | 1 | no | — |
| 236 | C2×D8 | C2×C4×C137 | 1 | 1 | yes | characteristic, complemented |
| 237 | #131 | — | 2 | 1 | no | — |
| 238 | #131 | — | 2 | 1 | no | — |
| 239 | #131 | C2×C4×C137 | 1 | 2 | yes | — |
| 240 | #131 | D4×C137 | 1 | 2 | yes | — |
| 241 | C2×M16 | — | 2 | 1 | no | — |
| 242 | C2×M16 | — | 2 | 1 | no | — |
| 243 | C2×M16 | D4×C137 | 1 | 1 | yes | characteristic |
| 244 | C22×C8 | — | 2 | 1 | no | — |
| 245 | C22×C8 | C23×C137 | 1 | 1 | yes | characteristic |
| 246 | C4×Q8 | — | 4 | 1 | no | — |
| 247 | C4×D4 | — | 4 | 2 | no | — |
| 248 | C4×D4 | — | 4 | 1 | no | — |
| 249 | #117 | — | 2 | 2 | no | — |
| 250 | #117 | — | 2 | 1 | no | — |
| 251 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 252 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 253 | M32 | — | 2 | 1 | no | — |
| 254 | M32 | — | 2 | 1 | no | — |
| 255 | M32 | — | 2 | 1 | no | — |
| 256 | M32 | — | 2 | 1 | no | — |
| 257 | C2×C16 | — | 2 | 1 | no | — |
| 258 | C2×C16 | — | 2 | 1 | no | — |
| 259 | #108 | — | 2 | 1 | no | — |
| 260 | #108 | C2×C4×C137 | 1 | 2 | yes | complemented |
| 261 | #107 | — | 2 | 2 | no | — |
| 262 | #107 | — | 2 | 1 | no | — |
| 263 | #106 | — | 2 | 2 | no | — |
| 264 | #106 | — | 2 | 1 | no | — |
| 265 | #106 | D4×C137 | 1 | 1 | yes | characteristic |
| 266 | #106 | D4×C137 | 1 | 2 | yes | — |
| 267 | #106 | D4×C137 | 1 | 1 | yes | characteristic |
| 268 | #101 | — | 2 | 2 | no | — |
| 269 | #100 | — | 2 | 2 | no | — |
| 270 | #41 | — | 2 | 1 | no | — |
| 271 | #41 | — | 2 | 1 | no | — |
| 272 | #41 | — | 4 | 1 | no | — |
| 273 | #41 | — | 4 | 1 | no | — |
| 274 | #41 | — | 4 | 1 | no | — |
| 275 | #41 | — | 4 | 1 | no | — |
| 276 | #41 | C22⋊C4×C137 | 1 | 2 | yes | — |
| 277 | #41 | SD16×C137 | 1 | 2 | yes | — |
| 278 | C2×Q8 | — | 2 | 1 | no | — |
| 279 | C2×Q8 | D8×C137 | 1 | 1 | yes | characteristic |
| 280 | C2×D4 | — | 2 | 1 | no | — |
| 281 | C2×D4 | — | 2 | 1 | no | — |
| 282 | C2×D4 | — | 4 | 1 | no | — |
| 283 | C2×D4 | D8×C137 | 1 | 1 | yes | characteristic |
| 284 | C22×C4 | — | 2 | 1 | no | — |
| 285 | C22×C4 | — | 4 | 2 | no | — |
| 286 | C22×C4 | — | 4 | 1 | no | — |
| 287 | C22×C4 | — | 4 | 1 | no | — |
| 288 | C22×C4 | C2×D4×C137 | 1 | 1 | yes | characteristic |
| 289 | Q16 | — | 2 | 1 | no | — |
| 290 | Q16 | — | 2 | 1 | no | — |
| 291 | Q16 | — | 4 | 2 | no | — |
| 292 | SD16 | — | 4 | 2 | no | — |
| 293 | SD16 | — | 4 | 2 | no | — |
| 294 | SD16 | — | 4 | 1 | no | — |
| 295 | SD16 | — | 4 | 1 | no | — |
| 296 | D8 | — | 2 | 1 | no | — |
| 297 | D8 | — | 2 | 1 | no | — |
| 298 | D8 | — | 4 | 2 | no | — |
| 299 | M16 | — | 2 | 1 | no | — |
| 300 | M16 | — | 2 | 2 | no | — |
| 301 | M16 | — | 2 | 2 | no | — |
| 302 | M16 | — | 2 | 2 | no | — |
| 303 | M16 | — | 4 | 1 | no | — |
| 304 | M16 | C22⋊C4×C137 | 1 | 2 | yes | — |
| 305 | C2×C8 | — | 2 | 1 | no | — |
| 306 | C2×C8 | — | 2 | 2 | no | — |
| 307 | C2×C8 | — | 2 | 2 | no | — |
| 308 | C2×C8 | — | 4 | 1 | no | — |
| 309 | C2×C8 | C22×C4×C137 | 1 | 1 | yes | characteristic |
| 310 | C2×C8 | C2×D4×C137 | 1 | 1 | yes | characteristic |
| 311 | C2×C8 | C2×D4×C137 | 1 | 1 | yes | characteristic |
| 312 | C2×C8 | C2×D4×C137 | 1 | 1 | yes | characteristic |
| 313 | C2×C8 | #41×C137 | 1 | 1 | yes | characteristic |
| 314 | C2×C8 | #41×C137 | 1 | 1 | yes | characteristic |
| 315 | C4⋊C4 | — | 2 | 1 | no | — |
| 316 | C4⋊C4 | — | 2 | 2 | no | — |
| 317 | C4⋊C4 | — | 2 | 1 | no | — |
| 318 | C4⋊C4 | — | 4 | 2 | no | — |
| 319 | C4⋊C4 | — | 4 | 1 | no | — |
| 320 | C22⋊C4 | — | 4 | 2 | no | — |
| 321 | C22⋊C4 | — | 4 | 1 | no | — |
| 322 | C42 | — | 4 | 2 | no | — |
| 323 | C42 | — | 4 | 1 | no | — |
| 324 | C16 | — | 4 | 1 | no | — |
| 325 | C16 | — | 4 | 1 | no | — |
| 326 | C23 | — | 2 | 1 | no | — |
| 327 | C23 | — | 4 | 1 | no | — |
| 328 | C23 | AGL(1,ℤ/8)×C137 | 1 | 1 | yes | characteristic |
| 329 | Q8 | — | 2 | 1 | no | — |
| 330 | Q8 | — | 4 | 1 | no | — |
| 331 | Q8 | — | 4 | 1 | no | — |
| 332 | Q8 | #102×C137 | 1 | 2 | yes | — |
| 333 | D4 | — | 2 | 2 | no | — |
| 334 | D4 | — | 2 | 2 | no | — |
| 335 | D4 | — | 2 | 1 | no | — |
| 336 | D4 | — | 4 | 1 | no | — |
| 337 | D4 | — | 4 | 1 | no | — |
| 338 | D4 | — | 8 | 1 | no | — |
| 339 | D4 | — | 8 | 1 | no | — |
| 340 | D4 | #102×C137 | 1 | 2 | yes | — |
| 341 | C2×C4 | — | 2 | 1 | no | — |
| 342 | C2×C4 | — | 2 | 2 | no | — |
| 343 | C2×C4 | — | 2 | 2 | no | — |
| 344 | C2×C4 | — | 4 | 1 | no | — |
| 345 | C2×C4 | — | 4 | 1 | no | — |
| 346 | C2×C4 | — | 4 | 2 | no | — |
| 347 | C2×C4 | — | 4 | 1 | no | — |
| 348 | C2×C4 | — | 8 | 1 | no | — |
| 349 | C2×C4 | — | 8 | 1 | no | — |
| 350 | C2×C4 | — | 16 | 1 | no | — |
| 351 | C2×C4 | — | 16 | 2 | no | — |
| 352 | C2×C4 | C2×C22⋊C4×C137 | 1 | 1 | yes | characteristic |
| 353 | C2×C4 | #120×C137 | 1 | 1 | yes | characteristic |
| 354 | C2×C4 | #123×C137 | 1 | 1 | yes | characteristic |
| 355 | C2×C4 | C2×D8×C137 | 1 | 1 | yes | characteristic |
| 356 | C2×C4 | C2×SD16×C137 | 1 | 1 | yes | characteristic |
| 357 | C2×C4 | #137×C137 | 1 | 1 | yes | characteristic |
| 358 | C8 | — | 2 | 2 | no | — |
| 359 | C8 | — | 4 | 2 | no | — |
| 360 | C8 | C4×D4×C137 | 1 | 1 | yes | characteristic |
| 361 | C8 | C4×D4×C137 | 1 | 1 | yes | characteristic |
| 362 | C8 | #121×C137 | 1 | 1 | yes | characteristic |
| 363 | C8 | #121×C137 | 1 | 1 | yes | characteristic |
| 364 | C22 | — | 2 | 2 | no | — |
| 365 | C22 | — | 4 | 1 | no | — |
| 366 | C22 | — | 4 | 2 | no | — |
| 367 | C22 | — | 8 | 1 | no | — |
| 368 | C22 | — | 16 | 1 | no | — |
| 369 | C22 | #417×C137 | 1 | 1 | yes | characteristic |
| 370 | C22 | #447×C137 | 1 | 1 | yes | characteristic |
| 371 | C22 | #481×C137 | 1 | 1 | yes | characteristic |
| 372 | C4 | — | 2 | 2 | no | — |
| 373 | C4 | — | 8 | 2 | no | — |
| 374 | C4 | — | 8 | 1 | no | — |
| 375 | C4 | — | 8 | 1 | no | — |
| 376 | C4 | — | 8 | 1 | no | — |
| 377 | C4 | #386×C137 | 1 | 1 | yes | characteristic |
| 378 | C4 | C2×#102×C137 | 1 | 1 | yes | characteristic |
| 379 | C4 | #448×C137 | 1 | 1 | yes | characteristic |
| 380 | C4 | #480×C137 | 1 | 1 | yes | characteristic |
| 381 | C2 | — | 2 | 1 | no | — |
| 382 | C2 | — | 2 | 1 | no | — |
| 383 | C2 | — | 2 | 1 | no | — |
| 384 | C2 | — | 4 | 2 | no | — |
| 385 | C2 | — | 16 | 1 | no | — |
| 386 | C2 | #1874×C137 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta