| 1 | C2×#17989019 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22612249 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #22612248 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #22612244 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22612243 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #22612238 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | C2×#17988421 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#508×C73 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C2×#14556613 | — | 2 | 1 | no | — |
| 10 | #17989019 | — | 2 | 1 | no | — |
| 11 | #17989019 | — | 2 | 1 | no | — |
| 12 | #17989019 | C22 | 1 | 2 | yes | — |
| 13 | #17989019 | C22 | 1 | 2 | yes | complemented |
| 14 | C2×Dic584 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | C2×#14556536 | — | 2 | 1 | no | — |
| 16 | C2×D1168 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #17988427 | C22 | 1 | 4 | yes | complemented |
| 18 | #17988425 | C22 | 1 | 4 | yes | complemented |
| 19 | #17988424 | C22 | 1 | 4 | yes | complemented |
| 20 | #17988422 | C22 | 1 | 4 | yes | complemented |
| 21 | #17988421 | C22 | 1 | 2 | yes | complemented |
| 22 | #17988421 | C22 | 1 | 2 | yes | complemented |
| 23 | C2×#14556497 | C22 | 1 | 2 | yes | complemented |
| 24 | C2×#135×C73 | — | 2 | 1 | no | — |
| 25 | #508×C73 | — | 2 | 1 | no | — |
| 26 | #508×C73 | — | 2 | 1 | no | — |
| 27 | #508×C73 | C22 | 1 | 2 | yes | — |
| 28 | #508×C73 | C22 | 1 | 2 | yes | complemented |
| 29 | C2×Q32×C73 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×SD32×C73 | — | 2 | 1 | no | — |
| 31 | C2×D16×C73 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C22×C16×C73 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#11924028 | — | 4 | 1 | no | — |
| 34 | #14556613 | — | 2 | 2 | no | — |
| 35 | #14556613 | — | 2 | 2 | no | — |
| 36 | #14556613 | — | 4 | 1 | no | — |
| 37 | #14556613 | — | 4 | 1 | no | — |
| 38 | C2×Dic292 | — | 2 | 1 | no | — |
| 39 | C2×#11924017 | — | 4 | 1 | no | — |
| 40 | C2×D584 | — | 2 | 1 | no | — |
| 41 | Dic584 | — | 2 | 1 | no | — |
| 42 | Dic584 | C23 | 1 | 2 | yes | — |
| 43 | #14556536 | — | 2 | 2 | no | — |
| 44 | #14556536 | — | 2 | 2 | no | — |
| 45 | D1168 | — | 2 | 1 | no | — |
| 46 | D1168 | C23 | 1 | 2 | yes | — |
| 47 | #14556497 | C23 | 1 | 4 | yes | — |
| 48 | C2×#41×C73 | — | 4 | 1 | no | — |
| 49 | #135×C73 | — | 2 | 2 | no | — |
| 50 | #135×C73 | — | 2 | 2 | no | — |
| 51 | #135×C73 | — | 4 | 1 | no | — |
| 52 | #135×C73 | — | 4 | 1 | no | — |
| 53 | C2×Q16×C73 | — | 2 | 1 | no | — |
| 54 | C2×SD16×C73 | — | 4 | 1 | no | — |
| 55 | C2×D8×C73 | — | 2 | 1 | no | — |
| 56 | C22×C8×C73 | D4 | 1 | 1 | yes | characteristic |
| 57 | Q32×C73 | — | 2 | 1 | no | — |
| 58 | Q32×C73 | C23 | 1 | 2 | yes | — |
| 59 | SD32×C73 | — | 2 | 2 | no | — |
| 60 | SD32×C73 | — | 2 | 2 | no | — |
| 61 | D16×C73 | — | 2 | 1 | no | — |
| 62 | D16×C73 | C23 | 1 | 2 | yes | — |
| 63 | C2×C16×C73 | D4 | 1 | 1 | yes | characteristic |
| 64 | C2×C16×C73 | D4 | 1 | 1 | yes | characteristic |
| 65 | C2×C16×C73 | D4 | 1 | 1 | yes | characteristic |
| 66 | C2×C16×C73 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×C16×C73 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C16×C73 | C23 | 1 | 1 | yes | characteristic |
| 69 | #11924028 | — | 4 | 2 | no | — |
| 70 | #11924028 | — | 4 | 2 | no | — |
| 71 | #11924028 | — | 8 | 1 | no | — |
| 72 | #11924028 | — | 8 | 1 | no | — |
| 73 | C2×Dic146 | — | 4 | 1 | no | — |
| 74 | C2×D292 | — | 4 | 1 | no | — |
| 75 | C2×C22⋊D73 | — | 8 | 1 | no | — |
| 76 | C2×C4×D73 | — | 8 | 1 | no | — |
| 77 | Dic292 | — | 2 | 2 | no | — |
| 78 | Dic292 | — | 4 | 1 | no | — |
| 79 | #11924017 | — | 4 | 2 | no | — |
| 80 | #11924017 | — | 4 | 2 | no | — |
| 81 | D584 | — | 2 | 2 | no | — |
| 82 | D584 | — | 4 | 1 | no | — |
| 83 | #41×C73 | — | 4 | 2 | no | — |
| 84 | #41×C73 | — | 4 | 2 | no | — |
| 85 | #41×C73 | — | 8 | 1 | no | — |
| 86 | #41×C73 | — | 8 | 1 | no | — |
| 87 | C2×Q8×C73 | — | 4 | 1 | no | — |
| 88 | C2×D4×C73 | — | 4 | 1 | no | — |
| 89 | C2×D4×C73 | — | 8 | 1 | no | — |
| 90 | C22×C4×C73 | — | 8 | 1 | no | — |
| 91 | C22×C4×C73 | D8 | 1 | 1 | yes | characteristic |
| 92 | Q16×C73 | — | 2 | 2 | no | — |
| 93 | Q16×C73 | — | 4 | 1 | no | — |
| 94 | SD16×C73 | — | 4 | 2 | no | — |
| 95 | SD16×C73 | — | 4 | 2 | no | — |
| 96 | D8×C73 | — | 2 | 2 | no | — |
| 97 | D8×C73 | — | 4 | 1 | no | — |
| 98 | C2×C8×C73 | D8 | 1 | 1 | yes | characteristic |
| 99 | C2×C8×C73 | D8 | 1 | 1 | yes | characteristic |
| 100 | C2×C8×C73 | D8 | 1 | 1 | yes | characteristic |
| 101 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 102 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 103 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 104 | C16×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | C16×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C16×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C16×C73 | C24 | 1 | 1 | yes | characteristic |
| 108 | C23×C73 | — | 8 | 1 | no | — |
| 109 | C23×C73 | D16 | 1 | 1 | yes | characteristic |
| 110 | C22×D73 | — | 8 | 1 | no | — |
| 111 | Q8×C73 | — | 4 | 2 | no | — |
| 112 | Q8×C73 | — | 8 | 1 | no | — |
| 113 | D4×C73 | — | 4 | 2 | no | — |
| 114 | D4×C73 | — | 8 | 2 | no | — |
| 115 | D4×C73 | — | 8 | 2 | no | — |
| 116 | D4×C73 | — | 8 | 1 | no | — |
| 117 | C2×C4×C73 | — | 8 | 1 | no | — |
| 118 | C2×C4×C73 | — | 8 | 2 | no | — |
| 119 | C2×C4×C73 | — | 8 | 2 | no | — |
| 120 | C2×C4×C73 | D16 | 1 | 1 | yes | characteristic |
| 121 | C2×C4×C73 | D16 | 1 | 1 | yes | characteristic |
| 122 | C2×C4×C73 | D16 | 1 | 1 | yes | characteristic |
| 123 | C2×C4×C73 | C2×D8 | 1 | 1 | yes | characteristic |
| 124 | C2×C4×C73 | C2×D8 | 1 | 1 | yes | characteristic |
| 125 | C2×C4×C73 | C2×D8 | 1 | 1 | yes | characteristic |
| 126 | C22⋊D73 | — | 8 | 2 | no | — |
| 127 | C22⋊D73 | — | 8 | 2 | no | — |
| 128 | C2×Dic73 | — | 8 | 1 | no | — |
| 129 | D292 | — | 4 | 2 | no | — |
| 130 | D292 | — | 8 | 1 | no | — |
| 131 | C4×D73 | — | 8 | 2 | no | — |
| 132 | C4×D73 | — | 8 | 2 | no | — |
| 133 | Dic146 | — | 4 | 2 | no | — |
| 134 | Dic146 | — | 8 | 1 | no | — |
| 135 | C8×C73 | C2×D8 | 1 | 1 | yes | characteristic |
| 136 | C8×C73 | C2×D8 | 1 | 1 | yes | characteristic |
| 137 | C8×C73 | C2×D8 | 1 | 1 | yes | characteristic |
| 138 | C8×C73 | C22×D4 | 1 | 1 | yes | characteristic |
| 139 | C22×C73 | — | 4 | 1 | no | — |
| 140 | C22×C73 | — | 8 | 2 | no | — |
| 141 | C22×C73 | — | 16 | 2 | no | — |
| 142 | C22×C73 | C2×D16 | 1 | 1 | yes | characteristic |
| 143 | C22×C73 | C2×D16 | 1 | 1 | yes | characteristic |
| 144 | C22×C73 | C2×D16 | 1 | 1 | yes | characteristic |
| 145 | C2×D73 | — | 8 | 2 | no | — |
| 146 | C2×D73 | — | 16 | 2 | no | — |
| 147 | C4×C73 | — | 8 | 2 | no | — |
| 148 | C4×C73 | C2×D16 | 1 | 1 | yes | characteristic |
| 149 | C4×C73 | C2×D16 | 1 | 1 | yes | characteristic |
| 150 | C4×C73 | C2×D16 | 1 | 1 | yes | characteristic |
| 151 | C4×C73 | C22×D8 | 1 | 1 | yes | characteristic |
| 152 | Dic73 | — | 8 | 2 | no | — |
| 153 | #33981 | — | 73 | 1 | no | maximal, Sylow |
| 154 | C2×C73 | — | 2 | 1 | no | — |
| 155 | C2×C73 | — | 2 | 1 | no | — |
| 156 | C2×C73 | — | 2 | 1 | no | — |
| 157 | C2×C73 | — | 16 | 2 | no | — |
| 158 | C2×C73 | C22×D16 | 1 | 1 | yes | characteristic |
| 159 | D73 | — | 16 | 2 | no | — |
| 160 | C2×#508 | — | 73 | 1 | no | — |
| 161 | C2×#508 | D73 | 1 | 1 | yes | characteristic, complemented |
| 162 | #2264 | — | 73 | 2 | no | — |
| 163 | #2264 | — | 73 | 2 | no | — |
| 164 | #2263 | — | 73 | 2 | no | — |
| 165 | #2263 | — | 73 | 2 | no | — |
| 166 | #2262 | — | 73 | 4 | no | — |
| 167 | C2×M64 | — | 73 | 1 | no | — |
| 168 | C73 | #33981 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 169 | C2×#135 | — | 2 | 1 | no | — |
| 170 | C2×#135 | — | 146 | 1 | no | — |
| 171 | #508 | — | 2 | 1 | no | — |
| 172 | #508 | — | 2 | 1 | no | — |
| 173 | #508 | — | 73 | 2 | no | — |
| 174 | #508 | — | 73 | 2 | no | — |
| 175 | #508 | — | 146 | 1 | no | — |
| 176 | #508 | — | 146 | 1 | no | — |
| 177 | #508 | C2×D73 | 1 | 2 | yes | — |
| 178 | #508 | C2×D73 | 1 | 2 | yes | complemented |
| 179 | C2×Q32 | — | 73 | 1 | no | — |
| 180 | C2×Q32 | C2×D73 | 1 | 1 | yes | characteristic, complemented |
| 181 | C2×SD32 | — | 2 | 1 | no | — |
| 182 | C2×SD32 | — | 146 | 1 | no | — |
| 183 | C2×D16 | — | 73 | 1 | no | — |
| 184 | C2×D16 | C2×D73 | 1 | 1 | yes | characteristic, complemented |
| 185 | C22×C16 | C2×D73 | 1 | 1 | yes | characteristic |
| 186 | Q64 | — | 73 | 4 | no | — |
| 187 | SD64 | — | 73 | 4 | no | — |
| 188 | SD64 | — | 73 | 4 | no | — |
| 189 | D32 | — | 73 | 4 | no | — |
| 190 | M64 | — | 73 | 2 | no | — |
| 191 | M64 | — | 73 | 2 | no | — |
| 192 | C2×C32 | — | 73 | 2 | no | — |
| 193 | C2×#41 | — | 4 | 1 | no | — |
| 194 | C2×#41 | — | 292 | 1 | no | — |
| 195 | #135 | — | 2 | 2 | no | — |
| 196 | #135 | — | 2 | 2 | no | — |
| 197 | #135 | — | 4 | 1 | no | — |
| 198 | #135 | — | 4 | 1 | no | — |
| 199 | #135 | — | 292 | 1 | no | — |
| 200 | #135 | — | 292 | 1 | no | — |
| 201 | #135 | — | 146 | 2 | no | — |
| 202 | #135 | — | 146 | 2 | no | — |
| 203 | C2×Q16 | — | 2 | 1 | no | — |
| 204 | C2×Q16 | — | 146 | 1 | no | — |
| 205 | C2×SD16 | — | 4 | 1 | no | — |
| 206 | C2×SD16 | — | 292 | 1 | no | — |
| 207 | C2×D8 | — | 2 | 1 | no | — |
| 208 | C2×D8 | — | 146 | 1 | no | — |
| 209 | C22×C8 | C22⋊D73 | 1 | 1 | yes | characteristic |
| 210 | Q32 | — | 2 | 1 | no | — |
| 211 | Q32 | — | 73 | 2 | no | — |
| 212 | Q32 | — | 146 | 1 | no | — |
| 213 | Q32 | C22×D73 | 1 | 2 | yes | — |
| 214 | SD32 | — | 2 | 2 | no | — |
| 215 | SD32 | — | 2 | 2 | no | — |
| 216 | SD32 | — | 146 | 2 | no | — |
| 217 | SD32 | — | 146 | 2 | no | — |
| 218 | D16 | — | 2 | 1 | no | — |
| 219 | D16 | — | 73 | 2 | no | — |
| 220 | D16 | — | 146 | 1 | no | — |
| 221 | D16 | C22×D73 | 1 | 2 | yes | — |
| 222 | C2×C16 | C22⋊D73 | 1 | 1 | yes | characteristic |
| 223 | C2×C16 | C22⋊D73 | 1 | 1 | yes | characteristic |
| 224 | C2×C16 | C22⋊D73 | 1 | 1 | yes | characteristic |
| 225 | C2×C16 | C22×D73 | 1 | 1 | yes | characteristic |
| 226 | C2×C16 | C22×D73 | 1 | 1 | yes | characteristic |
| 227 | C2×C16 | C22×D73 | 1 | 1 | yes | characteristic |
| 228 | C32 | — | 73 | 4 | no | — |
| 229 | #41 | — | 4 | 2 | no | — |
| 230 | #41 | — | 4 | 2 | no | — |
| 231 | #41 | — | 8 | 1 | no | — |
| 232 | #41 | — | 8 | 1 | no | — |
| 233 | #41 | — | 292 | 2 | no | — |
| 234 | #41 | — | 292 | 2 | no | — |
| 235 | #41 | — | 584 | 1 | no | — |
| 236 | #41 | — | 584 | 1 | no | — |
| 237 | C2×Q8 | — | 4 | 1 | no | — |
| 238 | C2×Q8 | — | 292 | 1 | no | — |
| 239 | C2×D4 | — | 4 | 1 | no | — |
| 240 | C2×D4 | — | 8 | 1 | no | — |
| 241 | C2×D4 | — | 292 | 1 | no | — |
| 242 | C2×D4 | — | 584 | 1 | no | — |
| 243 | C22×C4 | — | 8 | 1 | no | — |
| 244 | C22×C4 | — | 584 | 1 | no | — |
| 245 | C22×C4 | #11924013 | 1 | 1 | yes | characteristic |
| 246 | Q16 | — | 2 | 2 | no | — |
| 247 | Q16 | — | 4 | 1 | no | — |
| 248 | Q16 | — | 292 | 1 | no | — |
| 249 | Q16 | — | 146 | 2 | no | — |
| 250 | SD16 | — | 4 | 2 | no | — |
| 251 | SD16 | — | 4 | 2 | no | — |
| 252 | SD16 | — | 292 | 2 | no | — |
| 253 | SD16 | — | 292 | 2 | no | — |
| 254 | D8 | — | 2 | 2 | no | — |
| 255 | D8 | — | 4 | 1 | no | — |
| 256 | D8 | — | 292 | 1 | no | — |
| 257 | D8 | — | 146 | 2 | no | — |
| 258 | C2×C8 | #11924013 | 1 | 1 | yes | characteristic |
| 259 | C2×C8 | #11924013 | 1 | 1 | yes | characteristic |
| 260 | C2×C8 | #11924013 | 1 | 1 | yes | characteristic |
| 261 | C2×C8 | C2×C22⋊D73 | 1 | 1 | yes | characteristic |
| 262 | C2×C8 | C2×C22⋊D73 | 1 | 1 | yes | characteristic |
| 263 | C2×C8 | C2×C22⋊D73 | 1 | 1 | yes | characteristic |
| 264 | C16 | C2×C22⋊D73 | 1 | 1 | yes | characteristic |
| 265 | C16 | C2×C22⋊D73 | 1 | 1 | yes | characteristic |
| 266 | C16 | C2×C22⋊D73 | 1 | 1 | yes | characteristic |
| 267 | C16 | C23×D73 | 1 | 1 | yes | characteristic |
| 268 | C23 | — | 8 | 1 | no | — |
| 269 | C23 | — | 584 | 1 | no | — |
| 270 | C23 | #14556532 | 1 | 1 | yes | characteristic |
| 271 | Q8 | — | 4 | 2 | no | — |
| 272 | Q8 | — | 8 | 1 | no | — |
| 273 | Q8 | — | 292 | 2 | no | — |
| 274 | Q8 | — | 584 | 1 | no | — |
| 275 | D4 | — | 4 | 2 | no | — |
| 276 | D4 | — | 8 | 2 | no | — |
| 277 | D4 | — | 8 | 2 | no | — |
| 278 | D4 | — | 8 | 1 | no | — |
| 279 | D4 | — | 292 | 2 | no | — |
| 280 | D4 | — | 584 | 2 | no | — |
| 281 | D4 | — | 584 | 2 | no | — |
| 282 | D4 | — | 584 | 1 | no | — |
| 283 | C2×C4 | — | 8 | 1 | no | — |
| 284 | C2×C4 | — | 8 | 2 | no | — |
| 285 | C2×C4 | — | 8 | 2 | no | — |
| 286 | C2×C4 | — | 584 | 1 | no | — |
| 287 | C2×C4 | — | 584 | 2 | no | — |
| 288 | C2×C4 | — | 584 | 2 | no | — |
| 289 | C2×C4 | #14556532 | 1 | 1 | yes | characteristic |
| 290 | C2×C4 | #14556532 | 1 | 1 | yes | characteristic |
| 291 | C2×C4 | #14556532 | 1 | 1 | yes | characteristic |
| 292 | C2×C4 | C2×#11924013 | 1 | 1 | yes | characteristic |
| 293 | C2×C4 | C2×#11924013 | 1 | 1 | yes | characteristic |
| 294 | C2×C4 | C2×#11924013 | 1 | 1 | yes | characteristic |
| 295 | C8 | C2×#11924013 | 1 | 1 | yes | characteristic |
| 296 | C8 | C2×#11924013 | 1 | 1 | yes | characteristic |
| 297 | C8 | C2×#11924013 | 1 | 1 | yes | characteristic |
| 298 | C8 | C22×C22⋊D73 | 1 | 1 | yes | characteristic |
| 299 | C22 | — | 4 | 1 | no | — |
| 300 | C22 | — | 8 | 2 | no | — |
| 301 | C22 | — | 16 | 2 | no | — |
| 302 | C22 | — | 584 | 2 | no | — |
| 303 | C22 | — | 1168 | 2 | no | — |
| 304 | C22 | C2×#14556532 | 1 | 1 | yes | characteristic |
| 305 | C22 | C2×#14556532 | 1 | 1 | yes | characteristic |
| 306 | C22 | C2×#14556532 | 1 | 1 | yes | characteristic |
| 307 | C4 | — | 8 | 2 | no | — |
| 308 | C4 | — | 584 | 2 | no | — |
| 309 | C4 | C2×#14556532 | 1 | 1 | yes | characteristic |
| 310 | C4 | C2×#14556532 | 1 | 1 | yes | characteristic |
| 311 | C4 | C2×#14556532 | 1 | 1 | yes | characteristic |
| 312 | C4 | C22×#11924013 | 1 | 1 | yes | characteristic |
| 313 | C2 | — | 2 | 1 | no | — |
| 314 | C2 | — | 2 | 1 | no | — |
| 315 | C2 | — | 2 | 1 | no | — |
| 316 | C2 | — | 16 | 2 | no | — |
| 317 | C2 | — | 1168 | 2 | no | — |
| 318 | C2 | C22×#14556532 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta