| 1 | #10621368 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C7×#885 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#6445 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10621139 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10621126 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10621125 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10621096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10621036 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10621036 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10621026 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10621024 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10621017 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10620930 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10620926 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10620915 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #90374 | — | 3 | 1 | no | maximal, Hall |
| 17 | C23×C3×D7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C22×D3×D7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×#4268 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×Dic42 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×C7×#67 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C7×Dic6 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×C3×C22⋊D7 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C3×D28 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×C3×D28 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#4248 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×#4246 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#4246 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#4245 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#4245 | C22 | 1 | 1 | yes | characteristic |
| 31 | C3×C7×C22⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #66636 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #66631 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #66631 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C4×Dic21 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C7×#217 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C7×(C2×D3)⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C7×(C2×D3)⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C4×C7×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C3×(C2×D7)⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C3×(C2×D7)⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #66575 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | (C2×D3)⋊Dic7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | (C2×D7)⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | (C2×D7)⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | (C2×D7)⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | (C2×D7)⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | (C2×D7)⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | (C2×D7)⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | (C2×D7)⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | Dic3×Dic7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C7×#124 | — | 3 | 1 | no | — |
| 53 | #6510 | — | 3 | 1 | no | — |
| 54 | #6510 | — | 3 | 1 | no | — |
| 55 | #6500 | — | 3 | 1 | no | — |
| 56 | #6500 | — | 3 | 1 | no | — |
| 57 | #6448 | — | 3 | 1 | no | — |
| 58 | #6448 | — | 3 | 1 | no | — |
| 59 | #6448 | — | 3 | 1 | no | — |
| 60 | #6448 | — | 3 | 1 | no | — |
| 61 | #6445 | — | 3 | 1 | no | — |
| 62 | #6445 | — | 3 | 1 | no | — |
| 63 | #6445 | — | 3 | 1 | no | — |
| 64 | #6445 | D3 | 1 | 1 | yes | characteristic, complemented |
| 65 | #6438 | — | 3 | 1 | no | — |
| 66 | #6438 | — | 3 | 1 | no | — |
| 67 | #5594 | — | 7 | 1 | no | maximal, Hall |
| 68 | C23×C3×C7 | C23 | 1 | 1 | yes | characteristic |
| 69 | C22×D21 | C23 | 1 | 1 | yes | characteristic |
| 70 | C22×D3×C7 | C23 | 1 | 1 | yes | characteristic |
| 71 | C22×C3×D7 | — | 4 | 1 | no | — |
| 72 | C22×C3×D7 | — | 4 | 1 | no | — |
| 73 | C22×C3×D7 | — | 4 | 1 | no | — |
| 74 | C22×C3×D7 | C23 | 1 | 1 | yes | characteristic |
| 75 | C22×C3×D7 | C23 | 1 | 1 | yes | characteristic |
| 76 | C22×C3×D7 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×D3×D7 | — | 4 | 1 | no | — |
| 78 | C2×D3×D7 | — | 4 | 1 | no | — |
| 79 | C2×D3×D7 | — | 4 | 1 | no | — |
| 80 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 82 | #4268 | — | 4 | 1 | no | — |
| 83 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 86 | Dic42 | — | 4 | 1 | no | — |
| 87 | C7×#67 | — | 4 | 1 | no | — |
| 88 | C2×C7×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×C7×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C7×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 91 | C7×Dic6 | — | 4 | 1 | no | — |
| 92 | C3×C22⋊D7 | — | 4 | 1 | no | — |
| 93 | C2×C3×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 94 | C3×D28 | — | 4 | 1 | no | — |
| 95 | C3×D28 | — | 4 | 1 | no | — |
| 96 | #4248 | — | 4 | 1 | no | — |
| 97 | #4246 | — | 4 | 1 | no | — |
| 98 | #4246 | — | 4 | 1 | no | — |
| 99 | #4245 | — | 4 | 1 | no | — |
| 100 | #4245 | — | 4 | 1 | no | — |
| 101 | C23×D7 | — | 3 | 1 | no | — |
| 102 | C23×D7 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 103 | C2×C7×Q8 | — | 3 | 1 | no | — |
| 104 | C2×C7×D4 | — | 3 | 1 | no | — |
| 105 | C2×C22⋊D7 | — | 3 | 1 | no | — |
| 106 | C2×C22⋊D7 | — | 3 | 1 | no | — |
| 107 | C2×C22⋊D7 | — | 3 | 1 | no | — |
| 108 | C2×C22⋊D7 | C2×D3 | 1 | 1 | yes | characteristic |
| 109 | C2×D28 | — | 3 | 1 | no | — |
| 110 | C2×D28 | — | 3 | 1 | no | — |
| 111 | C2×D28 | C2×D3 | 1 | 1 | yes | characteristic |
| 112 | C2×D28 | C2×D3 | 1 | 1 | yes | characteristic |
| 113 | C2×Dic14 | — | 3 | 1 | no | — |
| 114 | C2×Dic14 | — | 3 | 1 | no | — |
| 115 | C7×C22⋊C4 | — | 3 | 1 | no | — |
| 116 | C7×C22⋊C4 | — | 3 | 1 | no | — |
| 117 | C7×C22⋊C4 | — | 3 | 1 | no | — |
| 118 | C7×C22⋊C4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 119 | C42×C7 | — | 3 | 1 | no | — |
| 120 | C22⋊Dic7 | — | 3 | 1 | no | — |
| 121 | C22⋊Dic7 | — | 3 | 1 | no | — |
| 122 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 123 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 124 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 125 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 126 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 127 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 128 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 129 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 130 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 131 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 132 | (C2×D7)⋊C4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 133 | (C2×D7)⋊C4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 134 | C4×Dic7 | — | 3 | 1 | no | — |
| 135 | C4×Dic7 | — | 3 | 1 | no | — |
| 136 | C3×#120 | — | 7 | 1 | no | — |
| 137 | #953 | — | 7 | 1 | no | — |
| 138 | #953 | — | 7 | 1 | no | — |
| 139 | #937 | — | 7 | 1 | no | — |
| 140 | #937 | — | 7 | 1 | no | — |
| 141 | #937 | — | 7 | 1 | no | — |
| 142 | #936 | — | 7 | 1 | no | — |
| 143 | #936 | — | 7 | 1 | no | — |
| 144 | #936 | — | 7 | 1 | no | — |
| 145 | #885 | — | 7 | 1 | no | — |
| 146 | #885 | — | 7 | 1 | no | — |
| 147 | #885 | — | 7 | 1 | no | — |
| 148 | #885 | — | 7 | 1 | no | — |
| 149 | #885 | — | 7 | 1 | no | — |
| 150 | #885 | D7 | 1 | 1 | yes | characteristic, complemented |
| 151 | C22×C3×C7 | — | 2 | 1 | no | — |
| 152 | C22×C3×C7 | — | 2 | 1 | no | — |
| 153 | C22×C3×C7 | — | 2 | 1 | no | — |
| 154 | C22×C3×C7 | C24 | 1 | 1 | yes | characteristic |
| 155 | C2×D21 | — | 2 | 1 | no | — |
| 156 | C2×D21 | — | 2 | 1 | no | — |
| 157 | C2×D21 | — | 2 | 1 | no | — |
| 158 | C2×D3×C7 | — | 2 | 1 | no | — |
| 159 | C2×D3×C7 | — | 2 | 1 | no | — |
| 160 | C2×D3×C7 | — | 2 | 1 | no | — |
| 161 | C2×C3×D7 | — | 2 | 1 | no | — |
| 162 | C2×C3×D7 | — | 2 | 1 | no | — |
| 163 | C2×C3×D7 | — | 2 | 1 | no | — |
| 164 | C2×C3×D7 | — | 2 | 1 | no | — |
| 165 | C2×C3×D7 | — | 2 | 1 | no | — |
| 166 | C2×C3×D7 | — | 2 | 1 | no | — |
| 167 | C2×C3×D7 | — | 2 | 1 | no | — |
| 168 | C2×C3×D7 | — | 2 | 1 | no | — |
| 169 | C2×C3×D7 | — | 2 | 1 | no | — |
| 170 | C2×C3×D7 | — | 4 | 4 | no | — |
| 171 | D3×D7 | — | 4 | 4 | no | — |
| 172 | C3×C4×C7 | — | 2 | 1 | no | — |
| 173 | C3×C4×C7 | — | 2 | 1 | no | — |
| 174 | Dic21 | — | 2 | 1 | no | — |
| 175 | Dic21 | — | 2 | 1 | no | — |
| 176 | Dic21 | — | 2 | 1 | no | — |
| 177 | C3×Dic7 | — | 2 | 1 | no | — |
| 178 | C7×Dic3 | — | 2 | 1 | no | — |
| 179 | C7×Dic3 | — | 2 | 1 | no | — |
| 180 | C7×Dic3 | — | 2 | 1 | no | — |
| 181 | H(3,𝔽4) | — | 21 | 1 | no | Sylow |
| 182 | C23×C7 | — | 3 | 1 | no | — |
| 183 | C23×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 184 | C22×D7 | — | 3 | 1 | no | — |
| 185 | C22×D7 | — | 4 | 1 | no | — |
| 186 | C22×D7 | — | 4 | 1 | no | — |
| 187 | C22×D7 | — | 4 | 1 | no | — |
| 188 | C22×D7 | — | 12 | 1 | no | — |
| 189 | C22×D7 | — | 12 | 1 | no | — |
| 190 | C22×D7 | — | 12 | 1 | no | — |
| 191 | C22×D7 | C22×D3 | 1 | 1 | yes | characteristic |
| 192 | C22×D7 | C22×D3 | 1 | 1 | yes | characteristic |
| 193 | C22×D7 | C22×D3 | 1 | 1 | yes | characteristic |
| 194 | C7×Q8 | — | 12 | 1 | no | — |
| 195 | C7×D4 | — | 12 | 1 | no | — |
| 196 | C2×C4×C7 | — | 3 | 1 | no | — |
| 197 | C2×C4×C7 | — | 3 | 1 | no | — |
| 198 | C2×C4×C7 | — | 3 | 1 | no | — |
| 199 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 200 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 201 | C22⋊D7 | — | 4 | 1 | no | — |
| 202 | C22⋊D7 | — | 12 | 1 | no | — |
| 203 | C22⋊D7 | — | 12 | 1 | no | — |
| 204 | C22⋊D7 | — | 12 | 1 | no | — |
| 205 | C2×Dic7 | — | 3 | 1 | no | — |
| 206 | C2×Dic7 | — | 3 | 1 | no | — |
| 207 | C2×Dic7 | — | 3 | 1 | no | — |
| 208 | C2×Dic7 | C22×D3 | 1 | 1 | yes | characteristic |
| 209 | D28 | — | 4 | 1 | no | — |
| 210 | D28 | — | 4 | 1 | no | — |
| 211 | D28 | — | 12 | 1 | no | — |
| 212 | D28 | — | 12 | 1 | no | — |
| 213 | Dic14 | — | 12 | 1 | no | — |
| 214 | Dic14 | — | 12 | 1 | no | — |
| 215 | C24×C3 | — | 7 | 1 | no | — |
| 216 | C23×D3 | — | 7 | 1 | no | — |
| 217 | C2×C3×D4 | — | 7 | 1 | no | — |
| 218 | C2×C3×D4 | — | 7 | 1 | no | — |
| 219 | C2×C3×D4 | — | 7 | 1 | no | — |
| 220 | C2×#67 | — | 7 | 1 | no | — |
| 221 | C2×#67 | — | 7 | 1 | no | — |
| 222 | C2×#67 | — | 7 | 1 | no | — |
| 223 | C2×#67 | — | 7 | 1 | no | — |
| 224 | C2×#67 | — | 7 | 1 | no | — |
| 225 | C2×#67 | C2×D7 | 1 | 1 | yes | characteristic |
| 226 | C2×Dic6 | — | 7 | 1 | no | — |
| 227 | C2×Dic6 | — | 7 | 1 | no | — |
| 228 | C2×Dic6 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 229 | C3×C22⋊C4 | — | 7 | 1 | no | — |
| 230 | C3×C22⋊C4 | — | 7 | 1 | no | — |
| 231 | C3×C22⋊C4 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 232 | #217 | — | 7 | 1 | no | — |
| 233 | #217 | — | 7 | 1 | no | — |
| 234 | #217 | — | 7 | 1 | no | — |
| 235 | #217 | — | 7 | 1 | no | — |
| 236 | #217 | — | 7 | 1 | no | — |
| 237 | #217 | — | 7 | 1 | no | — |
| 238 | #217 | — | 7 | 1 | no | — |
| 239 | #217 | — | 7 | 1 | no | — |
| 240 | #217 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 241 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 242 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 243 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 244 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 245 | (C2×D3)⋊C4 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 246 | (C2×D3)⋊C4 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 247 | C4×Dic3 | — | 7 | 1 | no | — |
| 248 | C4×Dic3 | — | 7 | 1 | no | — |
| 249 | C4×Dic3 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 250 | C2×C3×C7 | — | 4 | 1 | no | — |
| 251 | C2×C3×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 252 | C2×C3×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 253 | C2×C3×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 254 | D21 | — | 4 | 1 | no | — |
| 255 | C3×D7 | — | 4 | 1 | no | — |
| 256 | C3×D7 | — | 4 | 1 | no | — |
| 257 | C3×D7 | — | 4 | 1 | no | — |
| 258 | D3×C7 | — | 4 | 1 | no | — |
| 259 | #124 | — | 3 | 1 | no | — |
| 260 | #124 | — | 21 | 1 | no | — |
| 261 | #124 | — | 21 | 1 | no | — |
| 262 | #124 | — | 21 | 1 | no | — |
| 263 | #124 | — | 21 | 1 | no | — |
| 264 | #124 | — | 21 | 1 | no | — |
| 265 | #124 | — | 21 | 1 | no | — |
| 266 | #124 | — | 21 | 1 | no | — |
| 267 | #124 | — | 21 | 1 | no | — |
| 268 | #120 | — | 7 | 1 | no | — |
| 269 | #120 | — | 21 | 1 | no | — |
| 270 | #120 | — | 21 | 1 | no | — |
| 271 | #120 | — | 21 | 1 | no | — |
| 272 | #120 | — | 21 | 1 | no | — |
| 273 | #120 | — | 21 | 1 | no | — |
| 274 | C22×C7 | — | 2 | 1 | no | — |
| 275 | C22×C7 | — | 2 | 1 | no | — |
| 276 | C22×C7 | — | 2 | 1 | no | — |
| 277 | C22×C7 | — | 6 | 1 | no | — |
| 278 | C22×C7 | — | 6 | 1 | no | — |
| 279 | C22×C7 | — | 6 | 1 | no | — |
| 280 | C22×C7 | C23×D3 | 1 | 1 | yes | characteristic |
| 281 | C2×D7 | — | 2 | 1 | no | — |
| 282 | C2×D7 | — | 2 | 1 | no | — |
| 283 | C2×D7 | — | 2 | 1 | no | — |
| 284 | C2×D7 | — | 2 | 1 | no | — |
| 285 | C2×D7 | — | 2 | 1 | no | — |
| 286 | C2×D7 | — | 2 | 1 | no | — |
| 287 | C2×D7 | — | 2 | 1 | no | — |
| 288 | C2×D7 | — | 2 | 1 | no | — |
| 289 | C2×D7 | — | 2 | 1 | no | — |
| 290 | C2×D7 | — | 4 | 4 | no | — |
| 291 | C2×D7 | — | 6 | 1 | no | — |
| 292 | C2×D7 | — | 6 | 1 | no | — |
| 293 | C2×D7 | — | 6 | 1 | no | — |
| 294 | C2×D7 | — | 12 | 4 | no | — |
| 295 | C4×C7 | — | 2 | 1 | no | — |
| 296 | C4×C7 | — | 2 | 1 | no | — |
| 297 | C4×C7 | — | 6 | 1 | no | — |
| 298 | C4×C7 | — | 6 | 1 | no | — |
| 299 | C4×C7 | — | 6 | 1 | no | — |
| 300 | Dic7 | — | 2 | 1 | no | — |
| 301 | Dic7 | — | 6 | 1 | no | — |
| 302 | Dic7 | — | 6 | 1 | no | — |
| 303 | Dic7 | — | 6 | 1 | no | — |
| 304 | C23×C3 | — | 7 | 1 | no | — |
| 305 | C23×C3 | — | 7 | 1 | no | — |
| 306 | C23×C3 | — | 7 | 1 | no | — |
| 307 | C23×C3 | — | 28 | 1 | no | — |
| 308 | C23×C3 | — | 28 | 1 | no | — |
| 309 | C23×C3 | — | 28 | 1 | no | — |
| 310 | C23×C3 | C22×D7 | 1 | 1 | yes | characteristic |
| 311 | C22×D3 | — | 7 | 1 | no | — |
| 312 | C22×D3 | — | 28 | 1 | no | — |
| 313 | C22×D3 | — | 28 | 1 | no | — |
| 314 | C22×D3 | — | 28 | 1 | no | — |
| 315 | C22×D3 | C22×D7 | 1 | 1 | yes | characteristic |
| 316 | C3×D4 | — | 28 | 1 | no | — |
| 317 | C3×D4 | — | 28 | 1 | no | — |
| 318 | C3×D4 | — | 28 | 1 | no | — |
| 319 | C2×C3×C4 | — | 7 | 1 | no | — |
| 320 | C2×C3×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 321 | C2×C3×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 322 | #67 | — | 4 | 1 | no | — |
| 323 | #67 | — | 28 | 1 | no | — |
| 324 | #67 | — | 28 | 1 | no | — |
| 325 | #67 | — | 28 | 1 | no | — |
| 326 | #67 | — | 28 | 1 | no | — |
| 327 | #67 | — | 28 | 1 | no | — |
| 328 | C2×Dic3 | — | 7 | 1 | no | — |
| 329 | C2×Dic3 | — | 7 | 1 | no | — |
| 330 | C2×Dic3 | — | 7 | 1 | no | — |
| 331 | C2×Dic3 | C22×D7 | 1 | 1 | yes | characteristic |
| 332 | C2×Dic3 | C22×D7 | 1 | 1 | yes | characteristic |
| 333 | C2×Dic3 | C22×D7 | 1 | 1 | yes | characteristic |
| 334 | Dic6 | — | 4 | 1 | no | — |
| 335 | Dic6 | — | 28 | 1 | no | — |
| 336 | Dic6 | — | 28 | 1 | no | — |
| 337 | C3×C7 | H(3,𝔽4) | 1 | 1 | yes | characteristic, complemented, Hall |
| 338 | C24 | — | 7 | 1 | no | — |
| 339 | C24 | — | 21 | 1 | no | — |
| 340 | C2×Q8 | — | 3 | 1 | no | — |
| 341 | C2×Q8 | — | 21 | 1 | no | — |
| 342 | C2×Q8 | — | 21 | 1 | no | — |
| 343 | C2×D4 | — | 3 | 1 | no | — |
| 344 | C2×D4 | — | 7 | 1 | no | — |
| 345 | C2×D4 | — | 7 | 1 | no | — |
| 346 | C2×D4 | — | 7 | 1 | no | — |
| 347 | C2×D4 | — | 21 | 1 | no | — |
| 348 | C2×D4 | — | 21 | 1 | no | — |
| 349 | C2×D4 | — | 21 | 1 | no | — |
| 350 | C2×D4 | — | 21 | 1 | no | — |
| 351 | C2×D4 | — | 21 | 1 | no | — |
| 352 | C22⋊C4 | — | 3 | 1 | no | — |
| 353 | C22⋊C4 | — | 3 | 1 | no | — |
| 354 | C22⋊C4 | — | 3 | 1 | no | — |
| 355 | C22⋊C4 | — | 7 | 1 | no | — |
| 356 | C22⋊C4 | — | 7 | 1 | no | — |
| 357 | C22⋊C4 | — | 21 | 1 | no | — |
| 358 | C22⋊C4 | — | 21 | 1 | no | — |
| 359 | C22⋊C4 | — | 21 | 1 | no | — |
| 360 | C22⋊C4 | — | 21 | 1 | no | — |
| 361 | C22⋊C4 | — | 21 | 1 | no | — |
| 362 | C22⋊C4 | — | 21 | 1 | no | — |
| 363 | C22⋊C4 | — | 21 | 1 | no | — |
| 364 | C22⋊C4 | — | 21 | 1 | no | — |
| 365 | C22⋊C4 | — | 21 | 1 | no | — |
| 366 | C22⋊C4 | — | 21 | 1 | no | — |
| 367 | C22⋊C4 | — | 21 | 1 | no | — |
| 368 | C22⋊C4 | — | 21 | 1 | no | — |
| 369 | C22⋊C4 | D3×D7 | 1 | 1 | yes | characteristic, complemented |
| 370 | C42 | — | 3 | 1 | no | — |
| 371 | C42 | — | 21 | 1 | no | — |
| 372 | C42 | — | 21 | 1 | no | — |
| 373 | C2×C7 | — | 4 | 1 | no | — |
| 374 | C2×C7 | — | 12 | 1 | no | — |
| 375 | C2×C7 | #1004 | 1 | 1 | yes | characteristic |
| 376 | C2×C7 | #1004 | 1 | 1 | yes | characteristic |
| 377 | C2×C7 | #1004 | 1 | 1 | yes | characteristic |
| 378 | D7 | — | 4 | 1 | no | — |
| 379 | D7 | — | 4 | 1 | no | — |
| 380 | D7 | — | 4 | 1 | no | — |
| 381 | D7 | — | 12 | 1 | no | — |
| 382 | C22×C3 | — | 2 | 1 | no | — |
| 383 | C22×C3 | — | 2 | 1 | no | — |
| 384 | C22×C3 | — | 2 | 1 | no | — |
| 385 | C22×C3 | — | 14 | 1 | no | — |
| 386 | C22×C3 | — | 14 | 1 | no | — |
| 387 | C22×C3 | — | 14 | 1 | no | — |
| 388 | C22×C3 | — | 14 | 1 | no | — |
| 389 | C22×C3 | — | 14 | 1 | no | — |
| 390 | C22×C3 | — | 14 | 1 | no | — |
| 391 | C22×C3 | — | 14 | 1 | no | — |
| 392 | C22×C3 | — | 14 | 1 | no | — |
| 393 | C22×C3 | — | 14 | 1 | no | — |
| 394 | C22×C3 | — | 28 | 4 | no | — |
| 395 | C22×C3 | C23×D7 | 1 | 1 | yes | characteristic |
| 396 | C2×D3 | — | 2 | 1 | no | — |
| 397 | C2×D3 | — | 2 | 1 | no | — |
| 398 | C2×D3 | — | 2 | 1 | no | — |
| 399 | C2×D3 | — | 14 | 1 | no | — |
| 400 | C2×D3 | — | 14 | 1 | no | — |
| 401 | C2×D3 | — | 14 | 1 | no | — |
| 402 | C2×D3 | — | 28 | 4 | no | — |
| 403 | C3×C4 | — | 2 | 1 | no | — |
| 404 | C3×C4 | — | 2 | 1 | no | — |
| 405 | C3×C4 | — | 14 | 1 | no | — |
| 406 | Dic3 | — | 2 | 1 | no | — |
| 407 | Dic3 | — | 2 | 1 | no | — |
| 408 | Dic3 | — | 2 | 1 | no | — |
| 409 | Dic3 | — | 14 | 1 | no | — |
| 410 | Dic3 | — | 14 | 1 | no | — |
| 411 | Dic3 | — | 14 | 1 | no | — |
| 412 | C23 | — | 3 | 1 | no | — |
| 413 | C23 | — | 7 | 1 | no | — |
| 414 | C23 | — | 7 | 1 | no | — |
| 415 | C23 | — | 7 | 1 | no | — |
| 416 | C23 | — | 21 | 1 | no | — |
| 417 | C23 | — | 28 | 1 | no | — |
| 418 | C23 | — | 28 | 1 | no | — |
| 419 | C23 | — | 28 | 1 | no | — |
| 420 | C23 | — | 84 | 1 | no | — |
| 421 | C23 | — | 84 | 1 | no | — |
| 422 | C23 | — | 84 | 1 | no | — |
| 423 | C23 | C2×D3×D7 | 1 | 1 | yes | characteristic |
| 424 | Q8 | — | 12 | 1 | no | — |
| 425 | Q8 | — | 84 | 1 | no | — |
| 426 | Q8 | — | 84 | 1 | no | — |
| 427 | D4 | — | 12 | 1 | no | — |
| 428 | D4 | — | 28 | 1 | no | — |
| 429 | D4 | — | 28 | 1 | no | — |
| 430 | D4 | — | 28 | 1 | no | — |
| 431 | D4 | — | 84 | 1 | no | — |
| 432 | D4 | — | 84 | 1 | no | — |
| 433 | D4 | — | 84 | 1 | no | — |
| 434 | D4 | — | 84 | 1 | no | — |
| 435 | D4 | — | 84 | 1 | no | — |
| 436 | C2×C4 | — | 3 | 1 | no | — |
| 437 | C2×C4 | — | 3 | 1 | no | — |
| 438 | C2×C4 | — | 3 | 1 | no | — |
| 439 | C2×C4 | — | 7 | 1 | no | — |
| 440 | C2×C4 | — | 21 | 1 | no | — |
| 441 | C2×C4 | — | 21 | 1 | no | — |
| 442 | C2×C4 | — | 21 | 1 | no | — |
| 443 | C2×C4 | C2×D3×D7 | 1 | 1 | yes | characteristic |
| 444 | C2×C4 | C2×D3×D7 | 1 | 1 | yes | characteristic |
| 445 | C7 | #5594 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 446 | C2×C3 | — | 4 | 1 | no | — |
| 447 | C2×C3 | — | 28 | 1 | no | — |
| 448 | C2×C3 | — | 28 | 1 | no | — |
| 449 | C2×C3 | — | 28 | 1 | no | — |
| 450 | C2×C3 | #6548 | 1 | 1 | yes | characteristic |
| 451 | C2×C3 | #6553 | 1 | 1 | yes | characteristic |
| 452 | C2×C3 | #6553 | 1 | 1 | yes | characteristic |
| 453 | D3 | — | 4 | 1 | no | — |
| 454 | D3 | — | 28 | 1 | no | — |
| 455 | C22 | — | 2 | 1 | no | — |
| 456 | C22 | — | 2 | 1 | no | — |
| 457 | C22 | — | 2 | 1 | no | — |
| 458 | C22 | — | 6 | 1 | no | — |
| 459 | C22 | — | 6 | 1 | no | — |
| 460 | C22 | — | 6 | 1 | no | — |
| 461 | C22 | — | 14 | 1 | no | — |
| 462 | C22 | — | 14 | 1 | no | — |
| 463 | C22 | — | 14 | 1 | no | — |
| 464 | C22 | — | 14 | 1 | no | — |
| 465 | C22 | — | 14 | 1 | no | — |
| 466 | C22 | — | 14 | 1 | no | — |
| 467 | C22 | — | 14 | 1 | no | — |
| 468 | C22 | — | 14 | 1 | no | — |
| 469 | C22 | — | 14 | 1 | no | — |
| 470 | C22 | — | 28 | 4 | no | — |
| 471 | C22 | — | 42 | 1 | no | — |
| 472 | C22 | — | 42 | 1 | no | — |
| 473 | C22 | — | 42 | 1 | no | — |
| 474 | C22 | — | 84 | 4 | no | — |
| 475 | C22 | C22×D3×D7 | 1 | 1 | yes | characteristic |
| 476 | C4 | — | 2 | 1 | no | — |
| 477 | C4 | — | 2 | 1 | no | — |
| 478 | C4 | — | 6 | 1 | no | — |
| 479 | C4 | — | 6 | 1 | no | — |
| 480 | C4 | — | 6 | 1 | no | — |
| 481 | C4 | — | 14 | 1 | no | — |
| 482 | C4 | — | 42 | 1 | no | — |
| 483 | C4 | — | 42 | 1 | no | — |
| 484 | C4 | — | 42 | 1 | no | — |
| 485 | C3 | #90374 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 486 | C2 | — | 4 | 1 | no | — |
| 487 | C2 | — | 12 | 1 | no | — |
| 488 | C2 | — | 28 | 1 | no | — |
| 489 | C2 | — | 28 | 1 | no | — |
| 490 | C2 | — | 28 | 1 | no | — |
| 491 | C2 | — | 84 | 1 | no | — |
| 492 | C2 | #10621564 | 1 | 1 | yes | characteristic |
| 493 | C2 | #10621572 | 1 | 1 | yes | characteristic |
| 494 | C2 | #10621573 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta