| 1 | C3×C7×#124 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10621430 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10621429 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10621422 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10621420 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10621369 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10621367 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10621367 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10621366 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10621365 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10621364 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C22⋊C4×D21 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10621362 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10621359 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C4×D84 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #90369 | — | 3 | 1 | no | maximal, Hall |
| 17 | C23×D21 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C3×C7×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C2×C3×C7×D4 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#4268 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#4268 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#4268 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#4268 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C22×Dic21 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×D84 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×D84 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C4×D21 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×C4×D21 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×C4×D21 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C3×C7×C22⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 31 | C3×C7×C22⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 32 | C3×C7×C22⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C3×C7×C22⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C3×C42×C7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #66636 | C22 | 1 | 1 | yes | characteristic |
| 36 | #66636 | C22 | 1 | 1 | yes | characteristic |
| 37 | #66631 | C22 | 1 | 1 | yes | characteristic |
| 38 | #66631 | C22 | 1 | 1 | yes | characteristic |
| 39 | #66631 | C22 | 1 | 1 | yes | characteristic |
| 40 | #66631 | C22 | 1 | 1 | yes | characteristic |
| 41 | #66631 | C22 | 1 | 1 | yes | characteristic |
| 42 | #66631 | C22 | 1 | 1 | yes | characteristic |
| 43 | #66631 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #66631 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C4⋊Dic21 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C4⋊Dic21 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #66629 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #66629 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #66629 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #66629 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C4×Dic21 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C7×#124 | D3 | 1 | 1 | yes | characteristic, complemented |
| 53 | #6510 | — | 3 | 1 | no | — |
| 54 | #6509 | — | 3 | 1 | no | — |
| 55 | #6502 | — | 3 | 1 | no | — |
| 56 | #6500 | — | 3 | 1 | no | — |
| 57 | #6449 | — | 3 | 1 | no | — |
| 58 | #6447 | — | 3 | 1 | no | — |
| 59 | #6447 | — | 3 | 1 | no | — |
| 60 | #6446 | — | 3 | 1 | no | — |
| 61 | #6445 | — | 3 | 1 | no | — |
| 62 | (C22⋊D7)⋊C4 | — | 3 | 1 | no | — |
| 63 | D7×C22⋊C4 | — | 3 | 1 | no | — |
| 64 | #6442 | — | 3 | 1 | no | — |
| 65 | #6439 | — | 3 | 1 | no | — |
| 66 | C4×D28 | — | 3 | 1 | no | — |
| 67 | #5678 | — | 7 | 1 | no | maximal, Hall |
| 68 | C23×C3×C7 | C23 | 1 | 1 | yes | characteristic |
| 69 | C23×C3×C7 | C23 | 1 | 1 | yes | characteristic |
| 70 | C22×D21 | — | 2 | 2 | no | — |
| 71 | C22×D21 | — | 4 | 1 | no | — |
| 72 | C22×D21 | — | 4 | 1 | no | — |
| 73 | C22×D21 | C23 | 1 | 1 | yes | characteristic |
| 74 | C22×D21 | C23 | 1 | 1 | yes | characteristic |
| 75 | C22×D21 | C23 | 1 | 1 | yes | characteristic |
| 76 | C3×C7×Q8 | — | 4 | 1 | no | — |
| 77 | C3×C7×D4 | — | 4 | 1 | no | — |
| 78 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 83 | #4268 | — | 2 | 2 | no | — |
| 84 | #4268 | — | 4 | 1 | no | — |
| 85 | #4268 | — | 4 | 1 | no | — |
| 86 | #4268 | — | 4 | 1 | no | — |
| 87 | C2×Dic21 | — | 4 | 1 | no | — |
| 88 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 93 | D84 | — | 2 | 2 | no | — |
| 94 | D84 | — | 4 | 1 | no | — |
| 95 | C4×D21 | — | 4 | 1 | no | — |
| 96 | C4×D21 | — | 4 | 1 | no | — |
| 97 | C4×D21 | — | 4 | 1 | no | — |
| 98 | C23×D7 | — | 3 | 1 | no | — |
| 99 | C2×C7×Q8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 100 | C2×C7×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 101 | C2×C22⋊D7 | — | 3 | 1 | no | — |
| 102 | C2×C22⋊D7 | — | 3 | 1 | no | — |
| 103 | C2×C22⋊D7 | — | 3 | 1 | no | — |
| 104 | C2×C22⋊D7 | — | 3 | 1 | no | — |
| 105 | C22×Dic7 | — | 3 | 1 | no | — |
| 106 | C2×D28 | — | 3 | 1 | no | — |
| 107 | C2×D28 | — | 3 | 1 | no | — |
| 108 | C2×C4×D7 | — | 3 | 1 | no | — |
| 109 | C2×C4×D7 | — | 3 | 1 | no | — |
| 110 | C2×C4×D7 | — | 3 | 1 | no | — |
| 111 | C7×C22⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 112 | C7×C22⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 113 | C7×C22⋊C4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 114 | C7×C22⋊C4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 115 | C42×C7 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 116 | C22⋊Dic7 | — | 3 | 1 | no | — |
| 117 | C22⋊Dic7 | — | 3 | 1 | no | — |
| 118 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 119 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 120 | (C2×D7)⋊C4 | — | 3 | 1 | no | — |
| 121 | (C2×D7)⋊C4 | — | 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 | C4⋊Dic7 | — | 3 | 1 | no | — |
| 127 | C4⋊Dic7 | — | 3 | 1 | no | — |
| 128 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 129 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 130 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 131 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 132 | C4×Dic7 | — | 3 | 1 | no | — |
| 133 | C3×#124 | D7 | 1 | 1 | yes | characteristic, complemented |
| 134 | #947 | — | 7 | 1 | no | — |
| 135 | #946 | — | 7 | 1 | no | — |
| 136 | #939 | — | 7 | 1 | no | — |
| 137 | #937 | — | 7 | 1 | no | — |
| 138 | #886 | — | 7 | 1 | no | — |
| 139 | #884 | — | 7 | 1 | no | — |
| 140 | #884 | — | 7 | 1 | no | — |
| 141 | #883 | — | 7 | 1 | no | — |
| 142 | #882 | — | 7 | 1 | no | — |
| 143 | #67⋊C4 | — | 7 | 1 | no | — |
| 144 | D3×C22⋊C4 | — | 7 | 1 | no | — |
| 145 | #879 | — | 7 | 1 | no | — |
| 146 | #876 | — | 7 | 1 | no | — |
| 147 | C4×D12 | — | 7 | 1 | no | — |
| 148 | C22×C3×C7 | — | 2 | 1 | no | — |
| 149 | C22×C3×C7 | — | 2 | 1 | no | — |
| 150 | C22×C3×C7 | — | 2 | 1 | no | — |
| 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×D21 | — | 2 | 1 | no | — |
| 159 | C2×D21 | — | 2 | 1 | no | — |
| 160 | C2×D21 | — | 2 | 1 | no | — |
| 161 | C2×D21 | — | 2 | 1 | no | — |
| 162 | C2×D21 | — | 2 | 1 | no | — |
| 163 | C2×D21 | — | 4 | 4 | no | — |
| 164 | C2×D21 | #41 | 1 | 2 | yes | — |
| 165 | C3×C4×C7 | — | 2 | 1 | no | — |
| 166 | C3×C4×C7 | — | 2 | 1 | no | — |
| 167 | C3×C4×C7 | — | 2 | 1 | no | — |
| 168 | C3×C4×C7 | — | 2 | 1 | no | — |
| 169 | C3×C4×C7 | — | 2 | 1 | no | — |
| 170 | Dic21 | — | 2 | 1 | no | — |
| 171 | Dic21 | — | 2 | 1 | no | — |
| 172 | Dic21 | — | 2 | 1 | no | — |
| 173 | Dic21 | — | 2 | 1 | no | — |
| 174 | Dic21 | — | 2 | 1 | no | — |
| 175 | #538 | — | 21 | 1 | no | Sylow |
| 176 | C23×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 177 | C23×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 178 | C22×D7 | — | 3 | 1 | no | — |
| 179 | C22×D7 | — | 3 | 1 | no | — |
| 180 | C22×D7 | — | 3 | 1 | no | — |
| 181 | C22×D7 | — | 6 | 2 | no | — |
| 182 | C22×D7 | — | 12 | 1 | no | — |
| 183 | C22×D7 | — | 12 | 1 | no | — |
| 184 | C7×Q8 | — | 4 | 1 | no | — |
| 185 | C7×D4 | — | 4 | 1 | no | — |
| 186 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 187 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 188 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 189 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 190 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 191 | C22⋊D7 | — | 6 | 2 | no | — |
| 192 | C22⋊D7 | — | 12 | 1 | no | — |
| 193 | C22⋊D7 | — | 12 | 1 | no | — |
| 194 | C22⋊D7 | — | 12 | 1 | no | — |
| 195 | C2×Dic7 | — | 3 | 1 | no | — |
| 196 | C2×Dic7 | — | 3 | 1 | no | — |
| 197 | C2×Dic7 | — | 3 | 1 | no | — |
| 198 | C2×Dic7 | — | 3 | 1 | no | — |
| 199 | C2×Dic7 | — | 3 | 1 | no | — |
| 200 | C2×Dic7 | — | 12 | 1 | no | — |
| 201 | D28 | — | 6 | 2 | no | — |
| 202 | D28 | — | 12 | 1 | no | — |
| 203 | C4×D7 | — | 12 | 1 | no | — |
| 204 | C4×D7 | — | 12 | 1 | no | — |
| 205 | C4×D7 | — | 12 | 1 | no | — |
| 206 | C23×D3 | — | 7 | 1 | no | — |
| 207 | C2×C3×Q8 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 208 | C2×C3×D4 | C2×D7 | 1 | 1 | yes | characteristic |
| 209 | C2×#67 | — | 7 | 1 | no | — |
| 210 | C2×#67 | — | 7 | 1 | no | — |
| 211 | C2×#67 | — | 7 | 1 | no | — |
| 212 | C2×#67 | — | 7 | 1 | no | — |
| 213 | C22×Dic3 | — | 7 | 1 | no | — |
| 214 | C2×D12 | — | 7 | 1 | no | — |
| 215 | C2×D12 | — | 7 | 1 | no | — |
| 216 | C2×C4×D3 | — | 7 | 1 | no | — |
| 217 | C2×C4×D3 | — | 7 | 1 | no | — |
| 218 | C2×C4×D3 | — | 7 | 1 | no | — |
| 219 | C3×C22⋊C4 | C2×D7 | 1 | 1 | yes | characteristic |
| 220 | C3×C22⋊C4 | C2×D7 | 1 | 1 | yes | characteristic |
| 221 | C3×C22⋊C4 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 222 | C3×C22⋊C4 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 223 | C3×C42 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 224 | #217 | — | 7 | 1 | no | — |
| 225 | #217 | — | 7 | 1 | no | — |
| 226 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 227 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 228 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 229 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 230 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 231 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 232 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 233 | (C2×D3)⋊C4 | — | 7 | 1 | no | — |
| 234 | C4⋊Dic3 | — | 7 | 1 | no | — |
| 235 | C4⋊Dic3 | — | 7 | 1 | no | — |
| 236 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 237 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 238 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 239 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 240 | C4×Dic3 | — | 7 | 1 | no | — |
| 241 | C2×C3×C7 | — | 4 | 1 | no | — |
| 242 | C2×C3×C7 | — | 4 | 1 | no | — |
| 243 | C2×C3×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 244 | C2×C3×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 245 | C2×C3×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 246 | D21 | — | 2 | 2 | no | — |
| 247 | D21 | — | 4 | 1 | no | — |
| 248 | D21 | — | 4 | 1 | no | — |
| 249 | #126 | — | 21 | 1 | no | — |
| 250 | #126 | — | 21 | 1 | no | — |
| 251 | #124 | — | 21 | 1 | no | — |
| 252 | #124 | D21 | 1 | 1 | yes | characteristic, complemented |
| 253 | #123 | — | 21 | 1 | no | — |
| 254 | #123 | — | 21 | 1 | no | — |
| 255 | C22⋊Q8 | — | 21 | 1 | no | — |
| 256 | #121 | — | 21 | 1 | no | — |
| 257 | #121 | — | 21 | 1 | no | — |
| 258 | #121 | — | 21 | 1 | no | — |
| 259 | #120 | — | 21 | 1 | no | — |
| 260 | #120 | — | 21 | 1 | no | — |
| 261 | C4×D4 | — | 21 | 1 | no | — |
| 262 | C4×D4 | — | 21 | 1 | no | — |
| 263 | C2×C22⋊C4 | — | 21 | 1 | no | — |
| 264 | C22×C7 | — | 2 | 1 | no | — |
| 265 | C22×C7 | — | 2 | 1 | no | — |
| 266 | C22×C7 | — | 2 | 1 | no | — |
| 267 | C22×C7 | — | 2 | 1 | no | — |
| 268 | C22×C7 | — | 2 | 1 | no | — |
| 269 | C22×C7 | — | 2 | 1 | no | — |
| 270 | C22×C7 | C23×D3 | 1 | 1 | yes | characteristic |
| 271 | C2×D7 | — | 3 | 2 | no | — |
| 272 | C2×D7 | — | 6 | 1 | no | — |
| 273 | C2×D7 | — | 6 | 1 | no | — |
| 274 | C2×D7 | — | 6 | 1 | no | — |
| 275 | C2×D7 | — | 6 | 1 | no | — |
| 276 | C2×D7 | — | 6 | 1 | no | — |
| 277 | C2×D7 | — | 6 | 1 | no | — |
| 278 | C2×D7 | — | 6 | 1 | no | — |
| 279 | C2×D7 | — | 6 | 1 | no | — |
| 280 | C2×D7 | — | 12 | 4 | no | — |
| 281 | C4×C7 | — | 2 | 1 | no | — |
| 282 | C4×C7 | — | 2 | 1 | no | — |
| 283 | C4×C7 | — | 2 | 1 | no | — |
| 284 | C4×C7 | — | 2 | 1 | no | — |
| 285 | C4×C7 | — | 2 | 1 | no | — |
| 286 | Dic7 | — | 6 | 1 | no | — |
| 287 | Dic7 | — | 6 | 1 | no | — |
| 288 | Dic7 | — | 6 | 1 | no | — |
| 289 | Dic7 | — | 6 | 1 | no | — |
| 290 | Dic7 | — | 6 | 1 | no | — |
| 291 | C23×C3 | C22×D7 | 1 | 1 | yes | characteristic |
| 292 | C23×C3 | C22×D7 | 1 | 1 | yes | characteristic |
| 293 | C22×D3 | — | 7 | 1 | no | — |
| 294 | C22×D3 | — | 7 | 1 | no | — |
| 295 | C22×D3 | — | 7 | 1 | no | — |
| 296 | C22×D3 | — | 14 | 2 | no | — |
| 297 | C22×D3 | — | 28 | 1 | no | — |
| 298 | C22×D3 | — | 28 | 1 | no | — |
| 299 | C3×Q8 | — | 4 | 1 | no | — |
| 300 | C3×D4 | — | 4 | 1 | no | — |
| 301 | C2×C3×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 302 | C2×C3×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 303 | C2×C3×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 304 | C2×C3×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 305 | C2×C3×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 306 | #67 | — | 14 | 2 | no | — |
| 307 | #67 | — | 28 | 1 | no | — |
| 308 | #67 | — | 28 | 1 | no | — |
| 309 | #67 | — | 28 | 1 | no | — |
| 310 | C2×Dic3 | — | 7 | 1 | no | — |
| 311 | C2×Dic3 | — | 7 | 1 | no | — |
| 312 | C2×Dic3 | — | 7 | 1 | no | — |
| 313 | C2×Dic3 | — | 7 | 1 | no | — |
| 314 | C2×Dic3 | — | 7 | 1 | no | — |
| 315 | C2×Dic3 | — | 28 | 1 | no | — |
| 316 | D12 | — | 14 | 2 | no | — |
| 317 | D12 | — | 28 | 1 | no | — |
| 318 | C4×D3 | — | 28 | 1 | no | — |
| 319 | C4×D3 | — | 28 | 1 | no | — |
| 320 | C4×D3 | — | 28 | 1 | no | — |
| 321 | C3×C7 | #538 | 1 | 1 | yes | characteristic, complemented, Hall |
| 322 | C24 | — | 21 | 1 | no | — |
| 323 | C2×Q8 | C2×D21 | 1 | 1 | yes | characteristic, complemented |
| 324 | C2×D4 | — | 21 | 1 | no | — |
| 325 | C2×D4 | — | 21 | 1 | no | — |
| 326 | C2×D4 | — | 21 | 1 | no | — |
| 327 | C2×D4 | — | 21 | 1 | no | — |
| 328 | C2×D4 | — | 21 | 1 | no | — |
| 329 | C2×D4 | — | 21 | 1 | no | — |
| 330 | C2×D4 | C2×D21 | 1 | 1 | yes | characteristic |
| 331 | C22×C4 | — | 21 | 1 | no | — |
| 332 | C22×C4 | — | 21 | 1 | no | — |
| 333 | C22×C4 | — | 21 | 1 | no | — |
| 334 | C22×C4 | — | 21 | 1 | no | — |
| 335 | C4⋊C4 | — | 21 | 1 | no | — |
| 336 | C4⋊C4 | — | 21 | 1 | no | — |
| 337 | C4⋊C4 | — | 21 | 1 | no | — |
| 338 | C4⋊C4 | — | 21 | 1 | no | — |
| 339 | C4⋊C4 | — | 21 | 1 | no | — |
| 340 | C4⋊C4 | — | 21 | 1 | no | — |
| 341 | C22⋊C4 | — | 21 | 1 | no | — |
| 342 | C22⋊C4 | — | 21 | 1 | no | — |
| 343 | C22⋊C4 | — | 21 | 1 | no | — |
| 344 | C22⋊C4 | — | 21 | 1 | no | — |
| 345 | C22⋊C4 | — | 21 | 1 | no | — |
| 346 | C22⋊C4 | — | 21 | 1 | no | — |
| 347 | C22⋊C4 | — | 21 | 1 | no | — |
| 348 | C22⋊C4 | — | 21 | 1 | no | — |
| 349 | C22⋊C4 | — | 21 | 1 | no | — |
| 350 | C22⋊C4 | — | 21 | 1 | no | — |
| 351 | C22⋊C4 | C2×D21 | 1 | 1 | yes | characteristic |
| 352 | C22⋊C4 | C2×D21 | 1 | 1 | yes | characteristic |
| 353 | C22⋊C4 | C2×D21 | 1 | 1 | yes | characteristic, complemented |
| 354 | C22⋊C4 | C2×D21 | 1 | 1 | yes | characteristic, complemented |
| 355 | C42 | — | 21 | 1 | no | — |
| 356 | C42 | C2×D21 | 1 | 1 | yes | characteristic, complemented |
| 357 | C2×C7 | — | 4 | 1 | no | — |
| 358 | C2×C7 | — | 4 | 1 | no | — |
| 359 | C2×C7 | #1004 | 1 | 1 | yes | characteristic |
| 360 | C2×C7 | D3×#41 | 1 | 1 | yes | characteristic |
| 361 | C2×C7 | #1009 | 1 | 1 | yes | characteristic |
| 362 | D7 | — | 6 | 2 | no | — |
| 363 | D7 | — | 12 | 1 | no | — |
| 364 | D7 | — | 12 | 1 | no | — |
| 365 | C22×C3 | — | 2 | 1 | no | — |
| 366 | C22×C3 | — | 2 | 1 | no | — |
| 367 | C22×C3 | — | 2 | 1 | no | — |
| 368 | C22×C3 | — | 2 | 1 | no | — |
| 369 | C22×C3 | — | 2 | 1 | no | — |
| 370 | C22×C3 | — | 2 | 1 | no | — |
| 371 | C22×C3 | C23×D7 | 1 | 1 | yes | characteristic |
| 372 | C2×D3 | — | 7 | 2 | no | — |
| 373 | C2×D3 | — | 14 | 1 | no | — |
| 374 | C2×D3 | — | 14 | 1 | no | — |
| 375 | C2×D3 | — | 14 | 1 | no | — |
| 376 | C2×D3 | — | 14 | 1 | no | — |
| 377 | C2×D3 | — | 14 | 1 | no | — |
| 378 | C2×D3 | — | 14 | 1 | no | — |
| 379 | C2×D3 | — | 14 | 1 | no | — |
| 380 | C2×D3 | — | 14 | 1 | no | — |
| 381 | C2×D3 | — | 28 | 4 | no | — |
| 382 | C3×C4 | — | 2 | 1 | no | — |
| 383 | C3×C4 | — | 2 | 1 | no | — |
| 384 | C3×C4 | — | 2 | 1 | no | — |
| 385 | C3×C4 | — | 2 | 1 | no | — |
| 386 | C3×C4 | — | 2 | 1 | no | — |
| 387 | Dic3 | — | 14 | 1 | no | — |
| 388 | Dic3 | — | 14 | 1 | no | — |
| 389 | Dic3 | — | 14 | 1 | no | — |
| 390 | Dic3 | — | 14 | 1 | no | — |
| 391 | Dic3 | — | 14 | 1 | no | — |
| 392 | C23 | — | 21 | 1 | no | — |
| 393 | C23 | — | 21 | 1 | no | — |
| 394 | C23 | — | 21 | 1 | no | — |
| 395 | C23 | — | 42 | 2 | no | — |
| 396 | C23 | — | 84 | 1 | no | — |
| 397 | C23 | — | 84 | 1 | no | — |
| 398 | C23 | C22×D21 | 1 | 1 | yes | characteristic |
| 399 | C23 | C22×D21 | 1 | 1 | yes | characteristic |
| 400 | Q8 | — | 4 | 1 | no | — |
| 401 | D4 | — | 4 | 1 | no | — |
| 402 | D4 | — | 42 | 2 | no | — |
| 403 | D4 | — | 42 | 2 | no | — |
| 404 | D4 | — | 84 | 1 | no | — |
| 405 | D4 | — | 84 | 1 | no | — |
| 406 | D4 | — | 84 | 1 | no | — |
| 407 | D4 | — | 84 | 1 | no | — |
| 408 | C2×C4 | — | 21 | 1 | no | — |
| 409 | C2×C4 | — | 21 | 1 | no | — |
| 410 | C2×C4 | — | 21 | 1 | no | — |
| 411 | C2×C4 | — | 21 | 1 | no | — |
| 412 | C2×C4 | — | 21 | 1 | no | — |
| 413 | C2×C4 | — | 84 | 1 | no | — |
| 414 | C2×C4 | — | 84 | 1 | no | — |
| 415 | C2×C4 | — | 84 | 1 | no | — |
| 416 | C2×C4 | — | 84 | 1 | no | — |
| 417 | C2×C4 | C22×D21 | 1 | 1 | yes | characteristic |
| 418 | C2×C4 | C22×D21 | 1 | 1 | yes | characteristic |
| 419 | C2×C4 | C22×D21 | 1 | 1 | yes | characteristic |
| 420 | C2×C4 | C22×D21 | 1 | 1 | yes | characteristic |
| 421 | C2×C4 | C22×D21 | 1 | 1 | yes | characteristic |
| 422 | C7 | #5678 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 423 | C2×C3 | — | 4 | 1 | no | — |
| 424 | C2×C3 | — | 4 | 1 | no | — |
| 425 | C2×C3 | #6548 | 1 | 1 | yes | characteristic |
| 426 | C2×C3 | D7×#41 | 1 | 1 | yes | characteristic |
| 427 | C2×C3 | #6553 | 1 | 1 | yes | characteristic |
| 428 | D3 | — | 14 | 2 | no | — |
| 429 | D3 | — | 28 | 1 | no | — |
| 430 | D3 | — | 28 | 1 | no | — |
| 431 | C22 | — | 2 | 1 | no | — |
| 432 | C22 | — | 2 | 1 | no | — |
| 433 | C22 | — | 2 | 1 | no | — |
| 434 | C22 | — | 2 | 1 | no | — |
| 435 | C22 | — | 2 | 1 | no | — |
| 436 | C22 | — | 2 | 1 | no | — |
| 437 | C22 | — | 21 | 2 | no | — |
| 438 | C22 | — | 42 | 1 | no | — |
| 439 | C22 | — | 42 | 1 | no | — |
| 440 | C22 | — | 42 | 1 | no | — |
| 441 | C22 | — | 42 | 1 | no | — |
| 442 | C22 | — | 42 | 1 | no | — |
| 443 | C22 | — | 42 | 1 | no | — |
| 444 | C22 | — | 42 | 1 | no | — |
| 445 | C22 | — | 42 | 1 | no | — |
| 446 | C22 | — | 84 | 4 | no | — |
| 447 | C22 | C23×D21 | 1 | 1 | yes | characteristic |
| 448 | C4 | — | 2 | 1 | no | — |
| 449 | C4 | — | 2 | 1 | no | — |
| 450 | C4 | — | 2 | 1 | no | — |
| 451 | C4 | — | 2 | 1 | no | — |
| 452 | C4 | — | 2 | 1 | no | — |
| 453 | C4 | — | 42 | 1 | no | — |
| 454 | C4 | — | 42 | 1 | no | — |
| 455 | C4 | — | 42 | 1 | no | — |
| 456 | C4 | — | 42 | 1 | no | — |
| 457 | C4 | — | 42 | 1 | no | — |
| 458 | C3 | #90369 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 459 | C2 | — | 4 | 1 | no | — |
| 460 | C2 | — | 4 | 1 | no | — |
| 461 | C2 | — | 42 | 2 | no | — |
| 462 | C2 | — | 84 | 1 | no | — |
| 463 | C2 | — | 84 | 1 | no | — |
| 464 | C2 | #10621657 | 1 | 1 | yes | characteristic |
| 465 | C2 | #41×D21 | 1 | 1 | yes | characteristic |
| 466 | C2 | #10621662 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta