| 1 | #5635 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #5599 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×#468 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #5173 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #5163 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #5133 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #5128 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #5047 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #5033 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #4882 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #4875 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #4812 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #4790 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #4771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #4760 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #3333 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C2×#237 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#235 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C3×SD16 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C3×M16 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×C22⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 22 | C3×#121 | C22 | 1 | 1 | yes | characteristic |
| 23 | #946 | C22 | 1 | 1 | yes | characteristic |
| 24 | Q8×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#216 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#215 | C22 | 1 | 1 | yes | characteristic |
| 27 | #940 | — | 2 | 1 | no | — |
| 28 | #940 | C22 | 1 | 1 | yes | characteristic |
| 29 | #939 | — | 2 | 1 | no | — |
| 30 | C4×#67 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×C4⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×ΓL(1,𝔽25) | C22 | 1 | 1 | yes | characteristic |
| 33 | #897 | — | 2 | 1 | no | — |
| 34 | #895 | C22 | 1 | 1 | yes | characteristic |
| 35 | D3×C4⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 36 | #889 | — | 2 | 1 | no | — |
| 37 | #888 | C22 | 1 | 1 | yes | characteristic |
| 38 | #887 | C22 | 1 | 1 | yes | characteristic |
| 39 | #884 | — | 2 | 1 | no | — |
| 40 | #67⋊C4 | — | 2 | 1 | no | — |
| 41 | #67⋊C4 | — | 2 | 1 | no | — |
| 42 | #878 | — | 2 | 1 | no | — |
| 43 | C3×#107 | C22 | 1 | 1 | yes | characteristic |
| 44 | C3×#103 | C22 | 1 | 1 | yes | characteristic |
| 45 | C3×#102 | C22 | 1 | 1 | yes | characteristic |
| 46 | #832 | C22 | 1 | 1 | yes | characteristic |
| 47 | #832 | C22 | 1 | 1 | yes | characteristic |
| 48 | #830 | C22 | 1 | 1 | yes | characteristic |
| 49 | #821 | C22 | 1 | 1 | yes | characteristic |
| 50 | #821 | C22 | 1 | 1 | yes | characteristic |
| 51 | (C2×D3)⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 52 | #816 | C22 | 1 | 1 | yes | characteristic |
| 53 | #816 | C22 | 1 | 1 | yes | characteristic |
| 54 | Dic3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 55 | C8×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 56 | #810 | C22 | 1 | 1 | yes | characteristic |
| 57 | #809 | C22 | 1 | 1 | yes | characteristic |
| 58 | #807 | C22 | 1 | 1 | yes | characteristic |
| 59 | #807 | C22 | 1 | 1 | yes | characteristic |
| 60 | #554 | — | 3 | 1 | no | — |
| 61 | #550 | — | 3 | 1 | no | — |
| 62 | #486 | — | 3 | 1 | no | — |
| 63 | #480 | — | 3 | 1 | no | — |
| 64 | #480 | — | 3 | 1 | no | — |
| 65 | #477 | — | 3 | 1 | no | — |
| 66 | #468 | — | 3 | 1 | no | — |
| 67 | #468 | D3 | 1 | 1 | yes | characteristic, complemented |
| 68 | #460 | — | 3 | 1 | no | — |
| 69 | #452 | — | 3 | 1 | no | — |
| 70 | #452 | — | 3 | 1 | no | — |
| 71 | C4×Q16 | — | 3 | 1 | no | — |
| 72 | #436 | — | 3 | 1 | no | — |
| 73 | #417 | — | 3 | 1 | no | — |
| 74 | #417 | — | 3 | 1 | no | — |
| 75 | C2×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 76 | C2×C3×D4 | — | 2 | 1 | no | — |
| 77 | C2×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×#67 | — | 2 | 1 | no | — |
| 80 | C2×#67 | — | 2 | 1 | no | — |
| 81 | C2×#67 | — | 2 | 1 | no | — |
| 82 | C2×#67 | — | 2 | 1 | no | — |
| 83 | C2×#67 | D4 | 1 | 1 | yes | characteristic |
| 84 | C22×Dic3 | — | 2 | 1 | no | — |
| 85 | C22×Dic3 | — | 2 | 1 | no | — |
| 86 | #237 | — | 2 | 2 | no | — |
| 87 | #237 | — | 4 | 1 | no | — |
| 88 | #235 | — | 2 | 2 | no | — |
| 89 | #235 | — | 4 | 1 | no | — |
| 90 | C2×D12 | — | 2 | 1 | no | — |
| 91 | C2×D12 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C4×D3 | — | 2 | 1 | no | — |
| 93 | C2×C4×D3 | — | 2 | 1 | no | — |
| 94 | C2×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×Dic6 | — | 2 | 1 | no | — |
| 96 | C2×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 97 | C3×SD16 | — | 4 | 1 | no | — |
| 98 | C3×M16 | — | 4 | 1 | no | — |
| 99 | C2×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 101 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 102 | C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 103 | C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 104 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 105 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 106 | #217 | D4 | 1 | 1 | yes | characteristic |
| 107 | #216 | — | 2 | 2 | no | — |
| 108 | #215 | — | 4 | 1 | no | — |
| 109 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 110 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 111 | (C2×D3)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 112 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 113 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 114 | C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 115 | C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 116 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 117 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 118 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 119 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 120 | Dic3⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 121 | C4×Dic3 | — | 2 | 1 | no | — |
| 122 | C4×Dic3 | — | 2 | 1 | no | — |
| 123 | C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 126 | ΓL(1,𝔽25) | — | 4 | 1 | no | — |
| 127 | C2×#41 | — | 3 | 1 | no | — |
| 128 | C2×#41 | — | 3 | 1 | no | — |
| 129 | C2×Q16 | — | 3 | 1 | no | — |
| 130 | C2×SD16 | — | 3 | 1 | no | — |
| 131 | C2×SD16 | C2×D3 | 1 | 1 | yes | characteristic |
| 132 | C2×M16 | — | 3 | 1 | no | — |
| 133 | C2×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 134 | C4⋊Q8 | — | 3 | 1 | no | — |
| 135 | #127 | — | 3 | 1 | no | — |
| 136 | #127 | — | 6 | 1 | no | — |
| 137 | #125 | — | 6 | 1 | no | — |
| 138 | C22⋊Q8 | — | 3 | 1 | no | — |
| 139 | C22⋊Q8 | — | 6 | 1 | no | — |
| 140 | C22⋊Q8 | — | 6 | 1 | no | — |
| 141 | C22⋊Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 142 | #121 | — | 3 | 1 | no | — |
| 143 | #121 | — | 6 | 1 | no | — |
| 144 | #121 | — | 6 | 1 | no | — |
| 145 | #121 | C2×D3 | 1 | 1 | yes | characteristic |
| 146 | C4×Q8 | — | 3 | 1 | no | — |
| 147 | C4×Q8 | — | 3 | 1 | no | — |
| 148 | C4×D4 | — | 3 | 1 | no | — |
| 149 | C4×D4 | — | 6 | 1 | no | — |
| 150 | C4×D4 | — | 6 | 1 | no | — |
| 151 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 152 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 153 | #107 | — | 3 | 1 | no | — |
| 154 | #107 | — | 3 | 1 | no | — |
| 155 | #107 | C2×D3 | 1 | 1 | yes | characteristic |
| 156 | C4⋊C8 | — | 3 | 1 | no | — |
| 157 | #103 | — | 3 | 1 | no | — |
| 158 | #103 | — | 3 | 1 | no | — |
| 159 | #103 | — | 3 | 1 | no | — |
| 160 | #103 | C2×D3 | 1 | 1 | yes | characteristic |
| 161 | #102 | — | 3 | 1 | no | — |
| 162 | #102 | — | 3 | 1 | no | — |
| 163 | #102 | — | 3 | 1 | no | — |
| 164 | #102 | — | 3 | 1 | no | — |
| 165 | #102 | — | 3 | 1 | no | — |
| 166 | #102 | C2×D3 | 1 | 1 | yes | characteristic |
| 167 | C22⋊C8 | — | 3 | 1 | no | — |
| 168 | C22⋊C8 | — | 3 | 1 | no | — |
| 169 | C4×C8 | — | 3 | 1 | no | — |
| 170 | C23×C3 | — | 2 | 1 | no | — |
| 171 | C23×C3 | C2×D4 | 1 | 1 | yes | characteristic |
| 172 | C22×D3 | — | 2 | 1 | no | — |
| 173 | C22×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C3×Q8 | — | 2 | 1 | no | — |
| 175 | C3×Q8 | — | 2 | 1 | no | — |
| 176 | C3×D4 | — | 2 | 1 | no | — |
| 177 | C3×D4 | — | 2 | 1 | no | — |
| 178 | C3×D4 | — | 8 | 1 | no | — |
| 179 | C2×C3×C4 | — | 2 | 1 | no | — |
| 180 | C2×C3×C4 | — | 2 | 1 | no | — |
| 181 | C2×C3×C4 | — | 2 | 1 | no | — |
| 182 | C2×C3×C4 | — | 2 | 1 | no | — |
| 183 | C2×C3×C4 | — | 2 | 1 | no | — |
| 184 | C2×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C2×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 186 | #67 | — | 2 | 2 | no | — |
| 187 | #67 | — | 4 | 2 | no | — |
| 188 | #67 | — | 4 | 2 | no | — |
| 189 | #67 | — | 4 | 2 | no | — |
| 190 | #67 | — | 8 | 1 | no | — |
| 191 | C2×Dic3 | — | 2 | 1 | no | — |
| 192 | C2×Dic3 | — | 2 | 1 | no | — |
| 193 | C2×Dic3 | — | 2 | 1 | no | — |
| 194 | C2×Dic3 | — | 4 | 2 | no | — |
| 195 | C2×Dic3 | — | 8 | 1 | no | — |
| 196 | C2×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C2×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C2×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | D12 | — | 2 | 1 | no | — |
| 200 | D12 | — | 2 | 1 | no | — |
| 201 | D12 | — | 8 | 1 | no | — |
| 202 | C4×D3 | — | 2 | 1 | no | — |
| 203 | C4×D3 | — | 2 | 1 | no | — |
| 204 | C4×D3 | — | 4 | 2 | no | — |
| 205 | C4×D3 | — | 8 | 1 | no | — |
| 206 | Dic6 | — | 2 | 1 | no | — |
| 207 | Dic6 | — | 8 | 1 | no | — |
| 208 | Dic6 | #41 | 1 | 2 | yes | — |
| 209 | C3×C8 | — | 2 | 1 | no | — |
| 210 | C3×C8 | — | 2 | 1 | no | — |
| 211 | C3⋊C8 | — | 2 | 1 | no | — |
| 212 | C3⋊C8 | — | 2 | 1 | no | — |
| 213 | #41 | — | 6 | 2 | no | — |
| 214 | #41 | — | 6 | 2 | no | — |
| 215 | #41 | — | 12 | 1 | no | — |
| 216 | #41 | — | 12 | 1 | no | — |
| 217 | C2×Q8 | — | 3 | 1 | no | — |
| 218 | C2×Q8 | — | 6 | 1 | no | — |
| 219 | C2×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 220 | C2×D4 | — | 2 | 1 | no | — |
| 221 | C2×D4 | — | 3 | 1 | no | — |
| 222 | C2×D4 | — | 3 | 1 | no | — |
| 223 | C2×D4 | — | 6 | 1 | no | — |
| 224 | C2×D4 | — | 6 | 1 | no | — |
| 225 | C2×D4 | — | 6 | 1 | no | — |
| 226 | C2×D4 | — | 6 | 1 | no | — |
| 227 | C2×D4 | — | 6 | 1 | no | — |
| 228 | C2×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 229 | C22×C4 | — | 3 | 1 | no | — |
| 230 | C22×C4 | — | 6 | 1 | no | — |
| 231 | C22×C4 | — | 6 | 1 | no | — |
| 232 | C22×C4 | — | 6 | 1 | no | — |
| 233 | C22×C4 | — | 6 | 1 | no | — |
| 234 | C22×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 235 | Q16 | — | 6 | 2 | no | — |
| 236 | SD16 | — | 4 | 1 | no | — |
| 237 | SD16 | — | 12 | 1 | no | — |
| 238 | M16 | — | 4 | 1 | no | — |
| 239 | M16 | — | 12 | 1 | no | — |
| 240 | C2×C8 | — | 3 | 1 | no | — |
| 241 | C2×C8 | — | 3 | 1 | no | — |
| 242 | C2×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 243 | C2×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 244 | C4⋊C4 | — | 2 | 1 | no | — |
| 245 | C4⋊C4 | — | 3 | 1 | no | — |
| 246 | C4⋊C4 | — | 3 | 1 | no | — |
| 247 | C4⋊C4 | — | 3 | 1 | no | — |
| 248 | C4⋊C4 | — | 6 | 1 | no | — |
| 249 | C4⋊C4 | — | 6 | 1 | no | — |
| 250 | C4⋊C4 | — | 6 | 1 | no | — |
| 251 | C4⋊C4 | — | 6 | 1 | no | — |
| 252 | C4⋊C4 | — | 6 | 1 | no | — |
| 253 | C4⋊C4 | — | 6 | 1 | no | — |
| 254 | C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 255 | C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 256 | C22⋊C4 | — | 2 | 1 | no | — |
| 257 | C22⋊C4 | — | 2 | 1 | no | — |
| 258 | C22⋊C4 | — | 3 | 1 | no | — |
| 259 | C22⋊C4 | — | 3 | 1 | no | — |
| 260 | C22⋊C4 | — | 6 | 1 | no | — |
| 261 | C22⋊C4 | — | 6 | 1 | no | — |
| 262 | C42 | — | 3 | 1 | no | — |
| 263 | C42 | — | 6 | 1 | no | — |
| 264 | C42 | — | 6 | 1 | no | — |
| 265 | C22×C3 | — | 2 | 1 | no | — |
| 266 | C22×C3 | — | 2 | 1 | no | — |
| 267 | C22×C3 | — | 2 | 1 | no | — |
| 268 | C22×C3 | — | 4 | 1 | no | — |
| 269 | C22×C3 | — | 4 | 1 | no | — |
| 270 | C22×C3 | — | 4 | 1 | no | — |
| 271 | C22×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 272 | C2×D3 | — | 2 | 1 | no | — |
| 273 | C2×D3 | — | 2 | 1 | no | — |
| 274 | C2×D3 | — | 2 | 1 | no | — |
| 275 | C2×D3 | — | 4 | 1 | no | — |
| 276 | C2×D3 | — | 4 | 1 | no | — |
| 277 | C2×D3 | — | 4 | 1 | no | — |
| 278 | C3×C4 | — | 2 | 1 | no | — |
| 279 | C3×C4 | — | 4 | 1 | no | — |
| 280 | C3×C4 | — | 4 | 1 | no | — |
| 281 | C3×C4 | — | 4 | 1 | no | — |
| 282 | C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 283 | C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 284 | Dic3 | — | 2 | 2 | no | — |
| 285 | Dic3 | — | 2 | 1 | no | — |
| 286 | Dic3 | — | 2 | 1 | no | — |
| 287 | Dic3 | — | 4 | 1 | no | — |
| 288 | Dic3 | — | 4 | 1 | no | — |
| 289 | Dic3 | #137 | 1 | 2 | yes | — |
| 290 | C23 | — | 2 | 1 | no | — |
| 291 | C23 | — | 3 | 1 | no | — |
| 292 | C23 | — | 6 | 1 | no | — |
| 293 | C23 | D3×D4 | 1 | 1 | yes | characteristic |
| 294 | Q8 | — | 2 | 1 | no | — |
| 295 | Q8 | — | 2 | 1 | no | — |
| 296 | Q8 | — | 3 | 2 | no | — |
| 297 | Q8 | — | 6 | 1 | no | — |
| 298 | Q8 | — | 24 | 1 | no | — |
| 299 | D4 | — | 2 | 1 | no | — |
| 300 | D4 | — | 2 | 1 | no | — |
| 301 | D4 | — | 6 | 2 | no | — |
| 302 | D4 | — | 6 | 1 | no | — |
| 303 | D4 | — | 6 | 1 | no | — |
| 304 | D4 | — | 8 | 1 | no | — |
| 305 | D4 | — | 12 | 2 | no | — |
| 306 | D4 | — | 12 | 2 | no | — |
| 307 | D4 | — | 12 | 2 | no | — |
| 308 | D4 | — | 24 | 1 | no | — |
| 309 | D4 | — | 24 | 1 | no | — |
| 310 | C2×C4 | — | 2 | 1 | no | — |
| 311 | C2×C4 | — | 2 | 1 | no | — |
| 312 | C2×C4 | — | 2 | 1 | no | — |
| 313 | C2×C4 | — | 2 | 1 | no | — |
| 314 | C2×C4 | — | 2 | 1 | no | — |
| 315 | C2×C4 | — | 3 | 1 | no | — |
| 316 | C2×C4 | — | 3 | 1 | no | — |
| 317 | C2×C4 | — | 3 | 1 | no | — |
| 318 | C2×C4 | — | 6 | 1 | no | — |
| 319 | C2×C4 | — | 6 | 1 | no | — |
| 320 | C2×C4 | — | 6 | 1 | no | — |
| 321 | C2×C4 | — | 6 | 1 | no | — |
| 322 | C2×C4 | — | 6 | 1 | no | — |
| 323 | C2×C4 | — | 12 | 2 | no | — |
| 324 | C2×C4 | — | 12 | 2 | no | — |
| 325 | C2×C4 | — | 24 | 1 | no | — |
| 326 | C2×C4 | — | 24 | 1 | no | — |
| 327 | C2×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 328 | C2×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 329 | C8 | — | 2 | 1 | no | — |
| 330 | C8 | — | 2 | 1 | no | — |
| 331 | C8 | — | 6 | 1 | no | — |
| 332 | C8 | — | 6 | 1 | no | — |
| 333 | C2×C3 | — | 4 | 1 | no | — |
| 334 | C2×C3 | — | 8 | 1 | no | — |
| 335 | C2×C3 | #546 | 1 | 1 | yes | characteristic |
| 336 | C2×C3 | C2×#137 | 1 | 1 | yes | characteristic |
| 337 | C2×C3 | #576 | 1 | 1 | yes | characteristic |
| 338 | D3 | — | 4 | 1 | no | — |
| 339 | D3 | — | 8 | 1 | no | — |
| 340 | C22 | — | 2 | 1 | no | — |
| 341 | C22 | — | 2 | 1 | no | — |
| 342 | C22 | — | 2 | 1 | no | — |
| 343 | C22 | — | 4 | 1 | no | — |
| 344 | C22 | — | 4 | 1 | no | — |
| 345 | C22 | — | 4 | 1 | no | — |
| 346 | C22 | — | 6 | 1 | no | — |
| 347 | C22 | — | 6 | 1 | no | — |
| 348 | C22 | — | 6 | 1 | no | — |
| 349 | C22 | — | 12 | 1 | no | — |
| 350 | C22 | — | 12 | 1 | no | — |
| 351 | C22 | — | 12 | 1 | no | — |
| 352 | C22 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 353 | C4 | — | 2 | 1 | no | — |
| 354 | C4 | — | 3 | 2 | no | — |
| 355 | C4 | — | 4 | 1 | no | — |
| 356 | C4 | — | 4 | 1 | no | — |
| 357 | C4 | — | 4 | 1 | no | — |
| 358 | C4 | — | 6 | 1 | no | — |
| 359 | C4 | — | 6 | 1 | no | — |
| 360 | C4 | — | 6 | 2 | no | — |
| 361 | C4 | — | 12 | 1 | no | — |
| 362 | C4 | — | 12 | 1 | no | — |
| 363 | C4 | #1004 | 1 | 1 | yes | characteristic |
| 364 | C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 365 | C3 | #3333 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 366 | C2 | — | 4 | 1 | no | — |
| 367 | C2 | — | 8 | 1 | no | — |
| 368 | C2 | — | 12 | 1 | no | — |
| 369 | C2 | — | 24 | 1 | no | — |
| 370 | C2 | #5610 | 1 | 1 | yes | characteristic |
| 371 | C2 | #5774 | 1 | 1 | yes | characteristic |
| 372 | C2 | D3×#137 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta