| 1 | #3067×C137 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C4×#135×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #2080×C137 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #2053×C137 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #1976×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #1945×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #1906×C137 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #1833×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #1827×C137 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #1812×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #1764×C137 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #575×C137 | C22 | 1 | 2 | yes | — |
| 13 | C2×#135×C137 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#131×C137 | C22 | 1 | 1 | yes | characteristic |
| 15 | C4×#41×C137 | C22 | 1 | 2 | yes | — |
| 16 | #473×C137 | — | 2 | 1 | no | — |
| 17 | #472×C137 | — | 2 | 1 | no | — |
| 18 | #471×C137 | — | 2 | 2 | no | — |
| 19 | C4×Q16×C137 | — | 2 | 1 | no | — |
| 20 | C4×SD16×C137 | — | 2 | 2 | no | — |
| 21 | C4×D8×C137 | — | 2 | 1 | no | — |
| 22 | C2×#108×C137 | C22 | 1 | 1 | yes | characteristic |
| 23 | #427×C137 | C22 | 1 | 1 | yes | characteristic |
| 24 | #427×C137 | C22 | 1 | 1 | yes | characteristic |
| 25 | #424×C137 | C22 | 1 | 2 | yes | — |
| 26 | #421×C137 | C22 | 1 | 2 | yes | — |
| 27 | C2×#104×C137 | C22 | 1 | 1 | yes | characteristic |
| 28 | #416×C137 | C22 | 1 | 1 | yes | characteristic |
| 29 | #416×C137 | C22 | 1 | 2 | yes | — |
| 30 | #413×C137 | C22 | 1 | 2 | yes | — |
| 31 | #410×C137 | C22 | 1 | 2 | yes | — |
| 32 | #410×C137 | C22 | 1 | 2 | yes | — |
| 33 | #405×C137 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×C4×C8×C137 | C22 | 1 | 1 | yes | characteristic |
| 35 | #344×C137 | C22 | 1 | 2 | yes | — |
| 36 | #341×C137 | C22 | 1 | 1 | yes | characteristic |
| 37 | #339×C137 | C22 | 1 | 1 | yes | characteristic |
| 38 | #339×C137 | C22 | 1 | 2 | yes | — |
| 39 | H(3,ℤ/4)×C137 | C22 | 1 | 2 | yes | — |
| 40 | H(3,ℤ/4)×C137 | C22 | 1 | 2 | yes | — |
| 41 | C2×#41×C137 | C23 | 1 | 2 | yes | — |
| 42 | C2×#41×C137 | C23 | 1 | 1 | yes | characteristic |
| 43 | #137×C137 | — | 2 | 2 | no | — |
| 44 | #137×C137 | — | 2 | 2 | no | — |
| 45 | AGL(1,ℤ/8)×C137 | — | 2 | 2 | no | — |
| 46 | AGL(1,ℤ/8)×C137 | — | 2 | 2 | no | — |
| 47 | #135×C137 | — | 2 | 1 | no | — |
| 48 | #135×C137 | — | 2 | 1 | no | — |
| 49 | #135×C137 | — | 2 | 1 | no | — |
| 50 | #135×C137 | — | 2 | 1 | no | — |
| 51 | #135×C137 | — | 4 | 2 | no | — |
| 52 | C2×Q16×C137 | D4 | 1 | 1 | yes | characteristic |
| 53 | C2×SD16×C137 | D4 | 1 | 2 | yes | — |
| 54 | C2×D8×C137 | D4 | 1 | 1 | yes | characteristic |
| 55 | #131×C137 | — | 2 | 1 | no | — |
| 56 | #131×C137 | — | 2 | 1 | no | — |
| 57 | #131×C137 | — | 2 | 1 | no | — |
| 58 | #131×C137 | — | 2 | 1 | no | — |
| 59 | C2×M16×C137 | — | 2 | 1 | no | — |
| 60 | C2×M16×C137 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×M16×C137 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×M16×C137 | C23 | 1 | 2 | yes | — |
| 63 | C22×C8×C137 | — | 2 | 1 | no | — |
| 64 | C22×C8×C137 | C23 | 1 | 1 | yes | characteristic |
| 65 | C22×C8×C137 | C23 | 1 | 1 | yes | characteristic |
| 66 | C4×Q8×C137 | — | 2 | 2 | no | — |
| 67 | C4×D4×C137 | — | 2 | 2 | no | — |
| 68 | C4×D4×C137 | — | 4 | 2 | no | — |
| 69 | #117×C137 | — | 2 | 2 | no | — |
| 70 | #117×C137 | C23 | 1 | 1 | yes | characteristic |
| 71 | #117×C137 | C23 | 1 | 2 | yes | — |
| 72 | #117×C137 | C23 | 1 | 2 | yes | — |
| 73 | C2×C42×C137 | — | 2 | 2 | no | — |
| 74 | C2×C42×C137 | C23 | 1 | 1 | yes | characteristic |
| 75 | #108×C137 | — | 2 | 1 | no | — |
| 76 | #108×C137 | — | 2 | 1 | no | — |
| 77 | #107×C137 | — | 2 | 1 | no | — |
| 78 | #107×C137 | — | 2 | 1 | no | — |
| 79 | #106×C137 | — | 2 | 1 | no | — |
| 80 | #106×C137 | — | 2 | 1 | no | — |
| 81 | C4⋊C8×C137 | — | 4 | 2 | no | — |
| 82 | #104×C137 | — | 2 | 1 | no | — |
| 83 | #104×C137 | — | 2 | 1 | no | — |
| 84 | #104×C137 | — | 4 | 2 | no | — |
| 85 | #103×C137 | — | 2 | 2 | no | — |
| 86 | #103×C137 | — | 2 | 1 | no | — |
| 87 | #102×C137 | — | 2 | 2 | no | — |
| 88 | #102×C137 | — | 2 | 1 | no | — |
| 89 | #101×C137 | — | 2 | 2 | no | — |
| 90 | #100×C137 | — | 2 | 2 | no | — |
| 91 | #99×C137 | — | 4 | 2 | no | — |
| 92 | #99×C137 | — | 4 | 2 | no | — |
| 93 | #97×C137 | — | 2 | 1 | no | — |
| 94 | C4×C8×C137 | — | 2 | 1 | no | — |
| 95 | C4×C8×C137 | — | 2 | 1 | no | — |
| 96 | C4×C8×C137 | — | 2 | 1 | no | — |
| 97 | #41×C137 | — | 2 | 1 | no | — |
| 98 | #41×C137 | — | 2 | 1 | no | — |
| 99 | #41×C137 | — | 2 | 1 | no | — |
| 100 | #41×C137 | — | 2 | 2 | no | — |
| 101 | #41×C137 | — | 2 | 2 | no | — |
| 102 | #41×C137 | — | 2 | 2 | no | — |
| 103 | #41×C137 | — | 2 | 2 | no | — |
| 104 | #41×C137 | — | 2 | 1 | no | — |
| 105 | C2×Q8×C137 | C2×D4 | 1 | 2 | yes | — |
| 106 | C2×Q8×C137 | #41 | 1 | 1 | yes | characteristic |
| 107 | C2×D4×C137 | — | 2 | 1 | no | — |
| 108 | C2×D4×C137 | — | 2 | 2 | no | — |
| 109 | C2×D4×C137 | C2×D4 | 1 | 2 | yes | — |
| 110 | C2×D4×C137 | #41 | 1 | 1 | yes | characteristic |
| 111 | C22×C4×C137 | — | 2 | 1 | no | — |
| 112 | C22×C4×C137 | — | 2 | 2 | no | — |
| 113 | C22×C4×C137 | — | 2 | 1 | no | — |
| 114 | C22×C4×C137 | — | 4 | 2 | no | — |
| 115 | C22×C4×C137 | C24 | 1 | 1 | yes | characteristic |
| 116 | Q16×C137 | — | 2 | 1 | no | — |
| 117 | Q16×C137 | — | 2 | 1 | no | — |
| 118 | Q16×C137 | — | 4 | 2 | no | — |
| 119 | SD16×C137 | — | 2 | 2 | no | — |
| 120 | SD16×C137 | — | 2 | 2 | no | — |
| 121 | SD16×C137 | — | 4 | 2 | no | — |
| 122 | SD16×C137 | — | 4 | 2 | no | — |
| 123 | D8×C137 | — | 2 | 1 | no | — |
| 124 | D8×C137 | — | 2 | 1 | no | — |
| 125 | D8×C137 | — | 4 | 2 | no | — |
| 126 | M16×C137 | — | 2 | 1 | no | — |
| 127 | M16×C137 | — | 2 | 2 | no | — |
| 128 | M16×C137 | — | 2 | 1 | no | — |
| 129 | M16×C137 | — | 2 | 1 | no | — |
| 130 | M16×C137 | — | 2 | 2 | no | — |
| 131 | M16×C137 | — | 2 | 1 | no | — |
| 132 | M16×C137 | — | 4 | 1 | no | — |
| 133 | M16×C137 | — | 4 | 1 | no | — |
| 134 | C2×C8×C137 | — | 2 | 1 | no | — |
| 135 | C2×C8×C137 | — | 2 | 1 | no | — |
| 136 | C2×C8×C137 | — | 2 | 1 | no | — |
| 137 | C2×C8×C137 | — | 2 | 1 | no | — |
| 138 | C2×C8×C137 | — | 2 | 1 | no | — |
| 139 | C2×C8×C137 | — | 2 | 2 | no | — |
| 140 | C2×C8×C137 | — | 4 | 1 | no | — |
| 141 | C2×C8×C137 | — | 4 | 1 | no | — |
| 142 | C2×C8×C137 | C2×D4 | 1 | 1 | yes | characteristic |
| 143 | C2×C8×C137 | C2×D4 | 1 | 1 | yes | characteristic |
| 144 | C2×C8×C137 | #41 | 1 | 1 | yes | characteristic |
| 145 | C2×C8×C137 | #41 | 1 | 1 | yes | characteristic |
| 146 | C2×C8×C137 | #41 | 1 | 1 | yes | characteristic |
| 147 | C2×C8×C137 | #41 | 1 | 1 | yes | characteristic |
| 148 | C4⋊C4×C137 | — | 2 | 2 | no | — |
| 149 | C4⋊C4×C137 | — | 2 | 1 | no | — |
| 150 | C4⋊C4×C137 | — | 2 | 2 | no | — |
| 151 | C4⋊C4×C137 | — | 4 | 2 | no | — |
| 152 | C22⋊C4×C137 | — | 2 | 2 | no | — |
| 153 | C22⋊C4×C137 | — | 2 | 1 | no | — |
| 154 | C22⋊C4×C137 | — | 2 | 2 | no | — |
| 155 | C22⋊C4×C137 | — | 4 | 2 | no | — |
| 156 | C42×C137 | — | 2 | 1 | no | — |
| 157 | C42×C137 | — | 2 | 1 | no | — |
| 158 | C42×C137 | — | 2 | 2 | no | — |
| 159 | C42×C137 | — | 2 | 2 | no | — |
| 160 | C42×C137 | — | 4 | 2 | no | — |
| 161 | C42×C137 | #41 | 1 | 1 | yes | characteristic |
| 162 | C42×C137 | #41 | 1 | 1 | yes | characteristic |
| 163 | C23×C137 | — | 2 | 2 | no | — |
| 164 | C23×C137 | — | 2 | 1 | no | — |
| 165 | C23×C137 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 166 | Q8×C137 | — | 2 | 2 | no | — |
| 167 | Q8×C137 | — | 2 | 1 | no | — |
| 168 | Q8×C137 | — | 2 | 1 | no | — |
| 169 | Q8×C137 | — | 2 | 2 | no | — |
| 170 | D4×C137 | — | 2 | 2 | no | — |
| 171 | D4×C137 | — | 2 | 1 | no | — |
| 172 | D4×C137 | — | 2 | 1 | no | — |
| 173 | D4×C137 | — | 2 | 2 | no | — |
| 174 | D4×C137 | — | 4 | 1 | no | — |
| 175 | D4×C137 | — | 4 | 2 | no | — |
| 176 | D4×C137 | — | 4 | 1 | no | — |
| 177 | D4×C137 | — | 4 | 2 | no | — |
| 178 | C2×C4×C137 | — | 2 | 1 | no | — |
| 179 | C2×C4×C137 | — | 2 | 1 | no | — |
| 180 | C2×C4×C137 | — | 2 | 2 | no | — |
| 181 | C2×C4×C137 | — | 2 | 1 | no | — |
| 182 | C2×C4×C137 | — | 4 | 2 | no | — |
| 183 | C2×C4×C137 | — | 4 | 1 | no | — |
| 184 | C2×C4×C137 | — | 4 | 2 | no | — |
| 185 | C2×C4×C137 | — | 4 | 2 | no | — |
| 186 | C2×C4×C137 | — | 4 | 1 | no | — |
| 187 | C2×C4×C137 | — | 4 | 2 | no | — |
| 188 | C2×C4×C137 | — | 4 | 2 | no | — |
| 189 | C2×C4×C137 | — | 4 | 1 | no | — |
| 190 | C2×C4×C137 | — | 8 | 4 | no | — |
| 191 | C2×C4×C137 | C22×D4 | 1 | 1 | yes | characteristic |
| 192 | C2×C4×C137 | C2×#41 | 1 | 1 | yes | characteristic |
| 193 | C2×C4×C137 | C2×#41 | 1 | 1 | yes | characteristic |
| 194 | C2×C4×C137 | C2×#41 | 1 | 1 | yes | characteristic |
| 195 | C2×C4×C137 | C2×#41 | 1 | 1 | yes | characteristic |
| 196 | C2×C4×C137 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 197 | C8×C137 | — | 4 | 1 | no | — |
| 198 | C8×C137 | — | 4 | 1 | no | — |
| 199 | C8×C137 | — | 4 | 2 | no | — |
| 200 | C8×C137 | — | 4 | 1 | no | — |
| 201 | C8×C137 | #123 | 1 | 1 | yes | characteristic |
| 202 | C8×C137 | #123 | 1 | 1 | yes | characteristic |
| 203 | C8×C137 | #123 | 1 | 1 | yes | characteristic |
| 204 | C8×C137 | #123 | 1 | 1 | yes | characteristic |
| 205 | C22×C137 | — | 4 | 1 | no | — |
| 206 | C22×C137 | — | 4 | 1 | no | — |
| 207 | C22×C137 | — | 4 | 2 | no | — |
| 208 | C22×C137 | — | 8 | 2 | no | — |
| 209 | C22×C137 | — | 8 | 1 | no | — |
| 210 | C22×C137 | #540 | 1 | 1 | yes | characteristic |
| 211 | C22×C137 | #546 | 1 | 1 | yes | characteristic |
| 212 | C22×C137 | #553 | 1 | 1 | yes | characteristic |
| 213 | C4×C137 | — | 2 | 2 | no | — |
| 214 | C4×C137 | — | 4 | 1 | no | — |
| 215 | C4×C137 | — | 4 | 2 | no | — |
| 216 | C4×C137 | — | 4 | 1 | no | — |
| 217 | C4×C137 | — | 8 | 2 | no | — |
| 218 | C4×C137 | — | 8 | 1 | no | — |
| 219 | C4×C137 | — | 8 | 2 | no | — |
| 220 | C4×C137 | C2×#123 | 1 | 1 | yes | characteristic |
| 221 | C4×C137 | #529 | 1 | 1 | yes | characteristic |
| 222 | C4×C137 | #546 | 1 | 1 | yes | characteristic |
| 223 | C4×C137 | #555 | 1 | 1 | yes | characteristic |
| 224 | C2×C137 | — | 2 | 1 | no | — |
| 225 | C2×C137 | — | 2 | 1 | no | — |
| 226 | C2×C137 | — | 2 | 1 | no | — |
| 227 | C2×C137 | — | 8 | 2 | no | — |
| 228 | C2×C137 | — | 8 | 1 | no | — |
| 229 | C2×C137 | #2420 | 1 | 1 | yes | characteristic |
| 230 | #24985 | C137 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 231 | C137 | #24985 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 232 | #3067 | C2×C137 | 1 | 1 | yes | characteristic |
| 233 | C4×#135 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 234 | #2080 | C2×C137 | 1 | 2 | yes | complemented |
| 235 | #2053 | C2×C137 | 1 | 2 | yes | complemented |
| 236 | #1976 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 237 | #1945 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 238 | #1906 | C2×C137 | 1 | 2 | yes | complemented |
| 239 | #1833 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 240 | #1827 | C2×C137 | 1 | 2 | yes | complemented |
| 241 | #1812 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 242 | #1764 | C2×C137 | 1 | 1 | yes | characteristic, complemented |
| 243 | #575 | C22×C137 | 1 | 2 | yes | — |
| 244 | C2×#135 | C22×C137 | 1 | 1 | yes | characteristic |
| 245 | C2×#131 | C22×C137 | 1 | 1 | yes | characteristic |
| 246 | C4×#41 | C22×C137 | 1 | 2 | yes | — |
| 247 | #473 | — | 2 | 1 | no | — |
| 248 | #472 | — | 2 | 1 | no | — |
| 249 | #471 | — | 2 | 2 | no | — |
| 250 | C4×Q16 | — | 2 | 1 | no | — |
| 251 | C4×SD16 | — | 2 | 2 | no | — |
| 252 | C4×D8 | — | 2 | 1 | no | — |
| 253 | C2×#108 | C22×C137 | 1 | 1 | yes | characteristic |
| 254 | #427 | C22×C137 | 1 | 1 | yes | characteristic |
| 255 | #427 | C22×C137 | 1 | 1 | yes | characteristic |
| 256 | #424 | C22×C137 | 1 | 2 | yes | — |
| 257 | #421 | C22×C137 | 1 | 2 | yes | — |
| 258 | C2×#104 | C22×C137 | 1 | 1 | yes | characteristic |
| 259 | #416 | C22×C137 | 1 | 1 | yes | characteristic |
| 260 | #416 | C22×C137 | 1 | 2 | yes | — |
| 261 | #413 | C22×C137 | 1 | 2 | yes | — |
| 262 | #410 | C22×C137 | 1 | 2 | yes | — |
| 263 | #410 | C22×C137 | 1 | 2 | yes | — |
| 264 | #405 | C22×C137 | 1 | 1 | yes | characteristic |
| 265 | C2×C4×C8 | C22×C137 | 1 | 1 | yes | characteristic |
| 266 | #344 | C22×C137 | 1 | 2 | yes | — |
| 267 | #341 | C22×C137 | 1 | 1 | yes | characteristic |
| 268 | #339 | C22×C137 | 1 | 1 | yes | characteristic |
| 269 | #339 | C22×C137 | 1 | 2 | yes | — |
| 270 | H(3,ℤ/4) | C22×C137 | 1 | 2 | yes | — |
| 271 | H(3,ℤ/4) | C22×C137 | 1 | 2 | yes | — |
| 272 | C2×#41 | C23×C137 | 1 | 2 | yes | — |
| 273 | C2×#41 | C23×C137 | 1 | 1 | yes | characteristic |
| 274 | #137 | — | 2 | 2 | no | — |
| 275 | #137 | — | 2 | 2 | no | — |
| 276 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 277 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 278 | #135 | — | 2 | 1 | no | — |
| 279 | #135 | — | 2 | 1 | no | — |
| 280 | #135 | — | 2 | 1 | no | — |
| 281 | #135 | — | 2 | 1 | no | — |
| 282 | #135 | — | 4 | 2 | no | — |
| 283 | C2×Q16 | D4×C137 | 1 | 1 | yes | characteristic |
| 284 | C2×SD16 | D4×C137 | 1 | 2 | yes | — |
| 285 | C2×D8 | D4×C137 | 1 | 1 | yes | characteristic |
| 286 | #131 | — | 2 | 1 | no | — |
| 287 | #131 | — | 2 | 1 | no | — |
| 288 | #131 | — | 2 | 1 | no | — |
| 289 | #131 | — | 2 | 1 | no | — |
| 290 | C2×M16 | — | 2 | 1 | no | — |
| 291 | C2×M16 | C23×C137 | 1 | 1 | yes | characteristic |
| 292 | C2×M16 | C23×C137 | 1 | 2 | yes | — |
| 293 | C2×M16 | C23×C137 | 1 | 1 | yes | characteristic |
| 294 | C22×C8 | — | 2 | 1 | no | — |
| 295 | C22×C8 | C23×C137 | 1 | 1 | yes | characteristic |
| 296 | C22×C8 | C23×C137 | 1 | 1 | yes | characteristic |
| 297 | C4×Q8 | — | 2 | 2 | no | — |
| 298 | C4×D4 | — | 2 | 2 | no | — |
| 299 | C4×D4 | — | 4 | 2 | no | — |
| 300 | #117 | — | 2 | 2 | no | — |
| 301 | #117 | C23×C137 | 1 | 2 | yes | — |
| 302 | #117 | C23×C137 | 1 | 1 | yes | characteristic |
| 303 | #117 | C23×C137 | 1 | 2 | yes | — |
| 304 | C2×C42 | — | 2 | 2 | no | — |
| 305 | C2×C42 | C23×C137 | 1 | 1 | yes | characteristic |
| 306 | #108 | — | 2 | 1 | no | — |
| 307 | #108 | — | 2 | 1 | no | — |
| 308 | #107 | — | 2 | 1 | no | — |
| 309 | #107 | — | 2 | 1 | no | — |
| 310 | #106 | — | 2 | 1 | no | — |
| 311 | #106 | — | 2 | 1 | no | — |
| 312 | C4⋊C8 | — | 4 | 2 | no | — |
| 313 | #104 | — | 2 | 1 | no | — |
| 314 | #104 | — | 2 | 1 | no | — |
| 315 | #104 | — | 4 | 2 | no | — |
| 316 | #103 | — | 2 | 2 | no | — |
| 317 | #103 | — | 2 | 1 | no | — |
| 318 | #102 | — | 2 | 2 | no | — |
| 319 | #102 | — | 2 | 1 | no | — |
| 320 | #101 | — | 2 | 2 | no | — |
| 321 | #100 | — | 2 | 2 | no | — |
| 322 | #99 | — | 4 | 2 | no | — |
| 323 | #99 | — | 4 | 2 | no | — |
| 324 | #97 | — | 2 | 1 | no | — |
| 325 | C4×C8 | — | 2 | 1 | no | — |
| 326 | C4×C8 | — | 2 | 1 | no | — |
| 327 | C4×C8 | — | 2 | 1 | no | — |
| 328 | #41 | — | 2 | 1 | no | — |
| 329 | #41 | — | 2 | 1 | no | — |
| 330 | #41 | — | 2 | 1 | no | — |
| 331 | #41 | — | 2 | 2 | no | — |
| 332 | #41 | — | 2 | 2 | no | — |
| 333 | #41 | — | 2 | 2 | no | — |
| 334 | #41 | — | 2 | 2 | no | — |
| 335 | #41 | — | 2 | 1 | no | — |
| 336 | C2×Q8 | C2×D4×C137 | 1 | 2 | yes | — |
| 337 | C2×Q8 | #41×C137 | 1 | 1 | yes | characteristic |
| 338 | C2×D4 | — | 2 | 1 | no | — |
| 339 | C2×D4 | — | 2 | 2 | no | — |
| 340 | C2×D4 | C2×D4×C137 | 1 | 2 | yes | — |
| 341 | C2×D4 | #41×C137 | 1 | 1 | yes | characteristic |
| 342 | C22×C4 | — | 2 | 1 | no | — |
| 343 | C22×C4 | — | 2 | 2 | no | — |
| 344 | C22×C4 | — | 2 | 1 | no | — |
| 345 | C22×C4 | — | 4 | 2 | no | — |
| 346 | C22×C4 | C24×C137 | 1 | 1 | yes | characteristic |
| 347 | Q16 | — | 2 | 1 | no | — |
| 348 | Q16 | — | 2 | 1 | no | — |
| 349 | Q16 | — | 4 | 2 | no | — |
| 350 | SD16 | — | 2 | 2 | no | — |
| 351 | SD16 | — | 2 | 2 | no | — |
| 352 | SD16 | — | 4 | 2 | no | — |
| 353 | SD16 | — | 4 | 2 | no | — |
| 354 | D8 | — | 2 | 1 | no | — |
| 355 | D8 | — | 2 | 1 | no | — |
| 356 | D8 | — | 4 | 2 | no | — |
| 357 | M16 | — | 2 | 1 | no | — |
| 358 | M16 | — | 2 | 2 | no | — |
| 359 | M16 | — | 2 | 1 | no | — |
| 360 | M16 | — | 2 | 1 | no | — |
| 361 | M16 | — | 2 | 2 | no | — |
| 362 | M16 | — | 2 | 1 | no | — |
| 363 | M16 | — | 4 | 1 | no | — |
| 364 | M16 | — | 4 | 1 | no | — |
| 365 | C2×C8 | — | 2 | 1 | no | — |
| 366 | C2×C8 | — | 2 | 1 | no | — |
| 367 | C2×C8 | — | 2 | 1 | no | — |
| 368 | C2×C8 | — | 2 | 1 | no | — |
| 369 | C2×C8 | — | 2 | 1 | no | — |
| 370 | C2×C8 | — | 2 | 2 | no | — |
| 371 | C2×C8 | — | 4 | 1 | no | — |
| 372 | C2×C8 | — | 4 | 1 | no | — |
| 373 | C2×C8 | C2×D4×C137 | 1 | 1 | yes | characteristic |
| 374 | C2×C8 | C2×D4×C137 | 1 | 1 | yes | characteristic |
| 375 | C2×C8 | #41×C137 | 1 | 1 | yes | characteristic |
| 376 | C2×C8 | #41×C137 | 1 | 1 | yes | characteristic |
| 377 | C2×C8 | #41×C137 | 1 | 1 | yes | characteristic |
| 378 | C2×C8 | #41×C137 | 1 | 1 | yes | characteristic |
| 379 | C4⋊C4 | — | 2 | 2 | no | — |
| 380 | C4⋊C4 | — | 2 | 1 | no | — |
| 381 | C4⋊C4 | — | 2 | 2 | no | — |
| 382 | C4⋊C4 | — | 4 | 2 | no | — |
| 383 | C22⋊C4 | — | 2 | 2 | no | — |
| 384 | C22⋊C4 | — | 2 | 1 | no | — |
| 385 | C22⋊C4 | — | 2 | 2 | no | — |
| 386 | C22⋊C4 | — | 4 | 2 | no | — |
| 387 | C42 | — | 2 | 1 | no | — |
| 388 | C42 | — | 2 | 1 | no | — |
| 389 | C42 | — | 2 | 2 | no | — |
| 390 | C42 | — | 2 | 2 | no | — |
| 391 | C42 | — | 4 | 2 | no | — |
| 392 | C42 | #41×C137 | 1 | 1 | yes | characteristic |
| 393 | C42 | #41×C137 | 1 | 1 | yes | characteristic |
| 394 | C23 | — | 2 | 2 | no | — |
| 395 | C23 | — | 2 | 1 | no | — |
| 396 | C23 | H(5,𝔽2)×C137 | 1 | 1 | yes | characteristic |
| 397 | Q8 | — | 2 | 2 | no | — |
| 398 | Q8 | — | 2 | 1 | no | — |
| 399 | Q8 | — | 2 | 1 | no | — |
| 400 | Q8 | — | 2 | 2 | no | — |
| 401 | D4 | — | 2 | 2 | no | — |
| 402 | D4 | — | 2 | 1 | no | — |
| 403 | D4 | — | 2 | 1 | no | — |
| 404 | D4 | — | 2 | 2 | no | — |
| 405 | D4 | — | 4 | 1 | no | — |
| 406 | D4 | — | 4 | 2 | no | — |
| 407 | D4 | — | 4 | 1 | no | — |
| 408 | D4 | — | 4 | 2 | no | — |
| 409 | C2×C4 | — | 2 | 1 | no | — |
| 410 | C2×C4 | — | 2 | 1 | no | — |
| 411 | C2×C4 | — | 2 | 2 | no | — |
| 412 | C2×C4 | — | 2 | 1 | no | — |
| 413 | C2×C4 | — | 4 | 2 | no | — |
| 414 | C2×C4 | — | 4 | 1 | no | — |
| 415 | C2×C4 | — | 4 | 2 | no | — |
| 416 | C2×C4 | — | 4 | 2 | no | — |
| 417 | C2×C4 | — | 4 | 1 | no | — |
| 418 | C2×C4 | — | 4 | 2 | no | — |
| 419 | C2×C4 | — | 4 | 2 | no | — |
| 420 | C2×C4 | — | 4 | 1 | no | — |
| 421 | C2×C4 | — | 8 | 4 | no | — |
| 422 | C2×C4 | C22×D4×C137 | 1 | 1 | yes | characteristic |
| 423 | C2×C4 | C2×#41×C137 | 1 | 1 | yes | characteristic |
| 424 | C2×C4 | C2×#41×C137 | 1 | 1 | yes | characteristic |
| 425 | C2×C4 | C2×#41×C137 | 1 | 1 | yes | characteristic |
| 426 | C2×C4 | C2×#41×C137 | 1 | 1 | yes | characteristic |
| 427 | C2×C4 | H(5,𝔽2)×C137 | 1 | 1 | yes | characteristic |
| 428 | C8 | — | 4 | 1 | no | — |
| 429 | C8 | — | 4 | 1 | no | — |
| 430 | C8 | — | 4 | 2 | no | — |
| 431 | C8 | — | 4 | 1 | no | — |
| 432 | C8 | #123×C137 | 1 | 1 | yes | characteristic |
| 433 | C8 | #123×C137 | 1 | 1 | yes | characteristic |
| 434 | C8 | #123×C137 | 1 | 1 | yes | characteristic |
| 435 | C8 | #123×C137 | 1 | 1 | yes | characteristic |
| 436 | C22 | — | 4 | 1 | no | — |
| 437 | C22 | — | 4 | 1 | no | — |
| 438 | C22 | — | 4 | 2 | no | — |
| 439 | C22 | — | 8 | 2 | no | — |
| 440 | C22 | — | 8 | 1 | no | — |
| 441 | C22 | #540×C137 | 1 | 1 | yes | characteristic |
| 442 | C22 | #546×C137 | 1 | 1 | yes | characteristic |
| 443 | C22 | #553×C137 | 1 | 1 | yes | characteristic |
| 444 | C4 | — | 2 | 2 | no | — |
| 445 | C4 | — | 4 | 1 | no | — |
| 446 | C4 | — | 4 | 2 | no | — |
| 447 | C4 | — | 4 | 1 | no | — |
| 448 | C4 | — | 8 | 2 | no | — |
| 449 | C4 | — | 8 | 2 | no | — |
| 450 | C4 | — | 8 | 1 | no | — |
| 451 | C4 | C2×#123×C137 | 1 | 1 | yes | characteristic |
| 452 | C4 | #529×C137 | 1 | 1 | yes | characteristic |
| 453 | C4 | #546×C137 | 1 | 1 | yes | characteristic |
| 454 | C4 | #555×C137 | 1 | 1 | yes | characteristic |
| 455 | C2 | — | 2 | 1 | no | — |
| 456 | C2 | — | 2 | 1 | no | — |
| 457 | C2 | — | 2 | 1 | no | — |
| 458 | C2 | — | 8 | 2 | no | — |
| 459 | C2 | — | 8 | 1 | no | — |
| 460 | C2 | #2420×C137 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta