| 1 | C2×#91800 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11754832 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11754829 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#91499 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#91487 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×#91280 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C5×#5154 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C3×#65444 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11749108 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11749107 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11749094 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11749078 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11748053 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11748034 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11747994 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10613578 | — | 3 | 1 | no | maximal, Hall |
| 17 | C2×#6819 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×D4×D15 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×D15⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#6768 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C3×C5×D8 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#6716 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#6715 | C22 | 1 | 1 | yes | characteristic |
| 24 | #91800 | — | 2 | 4 | no | — |
| 25 | C2×#6706 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#6705 | C22 | 1 | 1 | yes | characteristic |
| 27 | C5×#940 | C22 | 1 | 1 | yes | characteristic |
| 28 | C5×#936 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C2×C5×#214 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×C5×#213 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×C5×#204 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C3×#4082 | C22 | 1 | 1 | yes | characteristic |
| 33 | C3×#4082 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×C3×#687 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×C3×#687 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×C3×Dic20 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #91576 | — | 2 | 2 | no | — |
| 38 | #91573 | — | 2 | 2 | no | — |
| 39 | #91562 | — | 2 | 2 | no | — |
| 40 | #91558 | — | 2 | 2 | no | — |
| 41 | #91499 | — | 2 | 4 | no | — |
| 42 | #91487 | — | 2 | 4 | no | — |
| 43 | #91451 | C22 | 1 | 1 | yes | characteristic |
| 44 | #91389 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #91386 | C22 | 1 | 1 | yes | characteristic |
| 46 | #91376 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #91374 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×#6662 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×#6661 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×#6660 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×#6659 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×#6658 | C22 | 1 | 1 | yes | characteristic |
| 53 | C2×#6656 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2×#6648 | C22 | 1 | 1 | yes | characteristic |
| 55 | #91280 | — | 2 | 4 | no | — |
| 56 | C5×#815 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C3×C8×Dic5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #90952 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | Dic3×#168 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #81822 | — | 5 | 1 | no | maximal, Hall |
| 61 | C2×#4061 | — | 3 | 1 | no | — |
| 62 | C2×D5×SD16 | — | 3 | 1 | no | — |
| 63 | C2×#4058 | — | 3 | 1 | no | — |
| 64 | C2×#4057 | — | 3 | 1 | no | — |
| 65 | #66049 | — | 3 | 1 | no | — |
| 66 | #66009 | — | 3 | 1 | no | — |
| 67 | C5×#496 | — | 3 | 1 | no | — |
| 68 | #65464 | — | 3 | 1 | no | — |
| 69 | #65456 | — | 3 | 1 | no | — |
| 70 | #65444 | D3 | 1 | 1 | yes | characteristic, complemented |
| 71 | #65443 | — | 3 | 1 | no | — |
| 72 | #65365 | — | 3 | 1 | no | — |
| 73 | #65348 | — | 3 | 1 | no | — |
| 74 | #65004 | — | 3 | 1 | no | — |
| 75 | #64997 | — | 3 | 1 | no | — |
| 76 | C23×D15 | — | 2 | 1 | no | — |
| 77 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×#1220 | — | 2 | 1 | no | — |
| 80 | C2×#1220 | — | 2 | 1 | no | — |
| 81 | C22×Dic15 | — | 2 | 1 | no | — |
| 82 | #6819 | — | 2 | 2 | no | — |
| 83 | #6819 | — | 2 | 2 | no | — |
| 84 | D4×D15 | — | 2 | 2 | no | — |
| 85 | D4×D15 | — | 2 | 2 | no | — |
| 86 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C4×D15 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×C5×#67 | — | 2 | 2 | no | — |
| 90 | C2×C5×D12 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×#1204 | — | 2 | 1 | no | — |
| 95 | C2×#1203 | — | 2 | 1 | no | — |
| 96 | C2×#1203 | — | 2 | 2 | no | — |
| 97 | C2×#1200 | — | 2 | 1 | no | — |
| 98 | C2×D3×Dic5 | — | 2 | 1 | no | — |
| 99 | D15⋊Q8 | — | 2 | 2 | no | — |
| 100 | D15⋊Q8 | — | 2 | 2 | no | — |
| 101 | #6768 | — | 2 | 2 | no | — |
| 102 | #6768 | — | 2 | 2 | no | — |
| 103 | C3×C5×D8 | — | 2 | 2 | no | — |
| 104 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 105 | #6716 | — | 2 | 2 | no | — |
| 106 | #6715 | — | 2 | 2 | no | — |
| 107 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 108 | #6706 | — | 2 | 2 | no | — |
| 109 | #6705 | D4 | 1 | 4 | yes | complemented |
| 110 | C5×#217 | — | 2 | 2 | no | — |
| 111 | C5×#214 | — | 2 | 2 | no | — |
| 112 | C5×#213 | — | 2 | 2 | no | — |
| 113 | C4×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 114 | C2×C5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 115 | C5×#204 | — | 2 | 2 | no | — |
| 116 | C3×C22⋊Dic5 | — | 2 | 2 | no | — |
| 117 | C3×C22⋊Dic5 | — | 2 | 2 | no | — |
| 118 | C3×#687 | — | 2 | 2 | no | — |
| 119 | C3×#687 | — | 2 | 2 | no | — |
| 120 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 122 | C3×Dic20 | — | 2 | 2 | no | — |
| 123 | Dic3⋊Dic5 | — | 2 | 2 | no | — |
| 124 | #6669 | D4 | 1 | 2 | yes | — |
| 125 | #6668 | — | 2 | 2 | no | — |
| 126 | #6667 | — | 2 | 2 | no | — |
| 127 | #6667 | D4 | 1 | 2 | yes | — |
| 128 | #6662 | — | 2 | 2 | no | — |
| 129 | #6661 | — | 2 | 2 | no | — |
| 130 | #6660 | — | 2 | 2 | no | — |
| 131 | #6659 | — | 2 | 2 | no | — |
| 132 | #6658 | — | 2 | 2 | no | — |
| 133 | #6656 | — | 2 | 2 | no | — |
| 134 | #6648 | D4 | 1 | 4 | yes | complemented |
| 135 | C2×#918 | — | 5 | 1 | no | — |
| 136 | C2×#916 | — | 5 | 1 | no | — |
| 137 | C2×D3×SD16 | — | 5 | 1 | no | — |
| 138 | C2×#911 | — | 5 | 1 | no | — |
| 139 | #5675 | — | 5 | 1 | no | — |
| 140 | #5674 | — | 5 | 1 | no | — |
| 141 | C3×#495 | — | 5 | 1 | no | — |
| 142 | #5190 | — | 5 | 1 | no | — |
| 143 | #5175 | — | 5 | 1 | no | — |
| 144 | #5168 | — | 5 | 1 | no | — |
| 145 | #5154 | D5 | 1 | 1 | yes | characteristic, complemented |
| 146 | #5060 | — | 5 | 1 | no | — |
| 147 | #5058 | — | 5 | 1 | no | — |
| 148 | #4693 | — | 5 | 1 | no | — |
| 149 | #4689 | — | 5 | 1 | no | — |
| 150 | C2×Q8×D5 | — | 3 | 1 | no | — |
| 151 | C2×#711 | — | 3 | 1 | no | — |
| 152 | C2×#711 | — | 3 | 1 | no | — |
| 153 | C2×D4×D5 | — | 3 | 1 | no | — |
| 154 | C2×C5×SD16 | — | 3 | 1 | no | — |
| 155 | C2×C5×SD16 | — | 3 | 1 | no | — |
| 156 | C2×C5×D8 | — | 3 | 1 | no | — |
| 157 | C2×C5×D8 | C2×D3 | 1 | 1 | yes | characteristic |
| 158 | C5×#127 | — | 3 | 1 | no | — |
| 159 | C5×#124 | — | 3 | 1 | no | — |
| 160 | #4090 | — | 3 | 1 | no | — |
| 161 | C2×#689 | — | 3 | 1 | no | — |
| 162 | C2×#688 | — | 3 | 1 | no | — |
| 163 | #4086 | — | 3 | 1 | no | — |
| 164 | #4085 | — | 6 | 2 | no | — |
| 165 | #4083 | — | 6 | 2 | no | — |
| 166 | #4082 | C2×D3 | 1 | 1 | yes | characteristic |
| 167 | #4082 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 168 | C2×#687 | — | 3 | 1 | no | — |
| 169 | C2×#687 | — | 3 | 1 | no | — |
| 170 | C2×#687 | — | 3 | 1 | no | — |
| 171 | C2×#687 | C2×D3 | 1 | 1 | yes | characteristic |
| 172 | C2×#687 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 173 | C2×#686 | — | 3 | 1 | no | — |
| 174 | #4061 | — | 6 | 4 | no | — |
| 175 | D5×SD16 | — | 6 | 4 | no | — |
| 176 | #4058 | — | 6 | 4 | no | — |
| 177 | #4057 | — | 6 | 4 | no | — |
| 178 | C2×Dic20 | — | 3 | 1 | no | — |
| 179 | C2×Dic20 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 180 | C2×#677 | — | 3 | 1 | no | — |
| 181 | C2×#677 | — | 3 | 1 | no | — |
| 182 | C2×#676 | — | 3 | 1 | no | — |
| 183 | C2×C8×D5 | — | 3 | 1 | no | — |
| 184 | #4029 | — | 6 | 2 | no | — |
| 185 | #4024 | — | 6 | 2 | no | — |
| 186 | #4021 | — | 3 | 1 | no | — |
| 187 | #4018 | — | 3 | 1 | no | — |
| 188 | #4015 | — | 3 | 1 | no | — |
| 189 | C5×#97 | — | 3 | 1 | no | — |
| 190 | #3947 | — | 3 | 1 | no | — |
| 191 | C8×Dic5 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 192 | C4×#168 | — | 3 | 1 | no | — |
| 193 | #3154 | — | 15 | 1 | no | Sylow |
| 194 | C23×C3×C5 | — | 2 | 1 | no | — |
| 195 | C23×C3×C5 | — | 2 | 1 | no | — |
| 196 | C22×D15 | — | 2 | 1 | no | — |
| 197 | C22×D15 | — | 4 | 2 | no | — |
| 198 | C22×D15 | — | 8 | 2 | no | — |
| 199 | C22×D15 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C22×C5×D3 | — | 2 | 1 | no | — |
| 201 | C3×C5×D4 | — | 2 | 1 | no | — |
| 202 | C3×C5×D4 | — | 2 | 1 | no | — |
| 203 | C3×C5×D4 | — | 2 | 1 | no | — |
| 204 | C3×C5×D4 | — | 2 | 1 | no | — |
| 205 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 206 | #1220 | — | 4 | 2 | no | — |
| 207 | #1220 | — | 4 | 2 | no | — |
| 208 | C2×Dic15 | — | 2 | 1 | no | — |
| 209 | C2×Dic15 | — | 4 | 2 | no | — |
| 210 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | D60 | — | 2 | 1 | no | — |
| 212 | D60 | — | 2 | 1 | no | — |
| 213 | C4×D15 | C2×D4 | 1 | 2 | yes | — |
| 214 | C4×D15 | C2×D4 | 1 | 2 | yes | — |
| 215 | Dic30 | — | 2 | 1 | no | — |
| 216 | Dic30 | — | 2 | 1 | no | — |
| 217 | C5×#67 | — | 8 | 2 | no | — |
| 218 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 219 | C2×C5×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 220 | C5×D12 | — | 2 | 1 | no | — |
| 221 | C5×D12 | — | 2 | 1 | no | — |
| 222 | C5×Dic6 | — | 2 | 1 | no | — |
| 223 | C5×Dic6 | — | 2 | 1 | no | — |
| 224 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 225 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 226 | C2×C3×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 227 | C3×Dic10 | — | 2 | 1 | no | — |
| 228 | C3×Dic10 | — | 2 | 1 | no | — |
| 229 | C3×Dic10 | — | 2 | 1 | no | — |
| 230 | C3×Dic10 | — | 2 | 1 | no | — |
| 231 | #1204 | — | 4 | 2 | no | — |
| 232 | #1203 | — | 4 | 2 | no | — |
| 233 | #1203 | — | 8 | 2 | no | — |
| 234 | #1200 | — | 4 | 2 | no | — |
| 235 | D3×Dic5 | — | 4 | 2 | no | — |
| 236 | C3×C5×C8 | C2×D4 | 1 | 2 | yes | — |
| 237 | C3⋊#168 | C2×D4 | 1 | 2 | yes | — |
| 238 | C3×#168 | C2×D4 | 1 | 2 | yes | — |
| 239 | C5×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 240 | C2×#239 | — | 5 | 1 | no | — |
| 241 | C2×D3×Q8 | — | 5 | 1 | no | — |
| 242 | C2×#237 | — | 5 | 1 | no | — |
| 243 | C2×D3×D4 | — | 5 | 1 | no | — |
| 244 | C2×C3×Q16 | — | 5 | 1 | no | — |
| 245 | C2×C3×SD16 | — | 5 | 1 | no | — |
| 246 | C2×C3×SD16 | — | 5 | 1 | no | — |
| 247 | C2×C3×D8 | C2×D5 | 1 | 1 | yes | characteristic |
| 248 | C3×#124 | — | 5 | 1 | no | — |
| 249 | C3×#124 | — | 5 | 1 | no | — |
| 250 | #947 | — | 5 | 1 | no | — |
| 251 | #944 | — | 5 | 1 | no | — |
| 252 | C2×#216 | — | 5 | 1 | no | — |
| 253 | C2×#216 | — | 5 | 1 | no | — |
| 254 | C2×#215 | — | 5 | 1 | no | — |
| 255 | C2×#215 | — | 5 | 1 | no | — |
| 256 | #940 | C2×D5 | 1 | 1 | yes | characteristic |
| 257 | #936 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 258 | C2×#214 | — | 5 | 1 | no | — |
| 259 | C2×#214 | C2×D5 | 1 | 1 | yes | characteristic |
| 260 | C2×#213 | — | 5 | 1 | no | — |
| 261 | C2×#213 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 262 | #918 | — | 10 | 4 | no | — |
| 263 | #916 | — | 10 | 4 | no | — |
| 264 | D3×SD16 | — | 10 | 4 | no | — |
| 265 | #911 | — | 10 | 4 | no | — |
| 266 | C2×#204 | — | 5 | 1 | no | — |
| 267 | C2×#204 | — | 5 | 1 | no | — |
| 268 | C2×#204 | — | 5 | 1 | no | — |
| 269 | C2×#204 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 270 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 271 | C2×D3×C8 | — | 5 | 1 | no | — |
| 272 | #884 | — | 10 | 2 | no | — |
| 273 | #883 | — | 10 | 2 | no | — |
| 274 | #882 | — | 10 | 2 | no | — |
| 275 | #878 | — | 10 | 2 | no | — |
| 276 | #874 | — | 5 | 1 | no | — |
| 277 | #872 | — | 5 | 1 | no | — |
| 278 | #869 | — | 5 | 1 | no | — |
| 279 | C3×C4×C8 | — | 5 | 1 | no | — |
| 280 | #815 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 281 | C8×Dic3 | — | 5 | 1 | no | — |
| 282 | #803 | — | 5 | 1 | no | — |
| 283 | C23×D5 | — | 6 | 1 | no | — |
| 284 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 285 | C2×C5×D4 | — | 3 | 1 | no | — |
| 286 | C2×C5×D4 | — | 6 | 2 | no | — |
| 287 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 288 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 289 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 290 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 291 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 292 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 293 | C22×Dic5 | — | 6 | 1 | no | — |
| 294 | C22×Dic5 | — | 6 | 1 | no | — |
| 295 | Q8×D5 | — | 6 | 2 | no | — |
| 296 | Q8×D5 | — | 6 | 2 | no | — |
| 297 | #711 | — | 6 | 2 | no | — |
| 298 | #711 | — | 6 | 2 | no | — |
| 299 | #711 | — | 6 | 2 | no | — |
| 300 | #711 | — | 6 | 2 | no | — |
| 301 | D4×D5 | — | 6 | 2 | no | — |
| 302 | D4×D5 | — | 6 | 2 | no | — |
| 303 | C2×D20 | — | 3 | 1 | no | — |
| 304 | C2×C4×D5 | — | 3 | 1 | no | — |
| 305 | C2×C4×D5 | — | 6 | 1 | no | — |
| 306 | C2×Dic10 | — | 3 | 1 | no | — |
| 307 | C2×Dic10 | — | 6 | 1 | no | — |
| 308 | C2×Dic10 | C22×D3 | 1 | 1 | yes | characteristic |
| 309 | C2×Dic10 | C22×D3 | 1 | 1 | yes | characteristic |
| 310 | C5×SD16 | — | 6 | 2 | no | — |
| 311 | C5×SD16 | — | 6 | 2 | no | — |
| 312 | C5×D8 | — | 2 | 2 | no | — |
| 313 | C5×D8 | — | 6 | 2 | no | — |
| 314 | C2×C5×C8 | — | 3 | 1 | no | — |
| 315 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 316 | C5×C22⋊C4 | — | 6 | 2 | no | — |
| 317 | C42×C5 | — | 3 | 1 | no | — |
| 318 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 319 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 320 | #689 | — | 6 | 2 | no | — |
| 321 | #688 | — | 6 | 2 | no | — |
| 322 | #687 | — | 2 | 2 | no | — |
| 323 | #687 | — | 2 | 2 | no | — |
| 324 | #687 | — | 6 | 2 | no | — |
| 325 | #687 | — | 6 | 2 | no | — |
| 326 | #687 | — | 6 | 2 | no | — |
| 327 | #686 | — | 6 | 2 | no | — |
| 328 | #685 | — | 3 | 2 | no | — |
| 329 | #685 | — | 6 | 2 | no | — |
| 330 | C4⋊Dic5 | — | 6 | 2 | no | — |
| 331 | #683 | — | 3 | 2 | no | — |
| 332 | #683 | — | 6 | 2 | no | — |
| 333 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 334 | C2×#168 | — | 3 | 1 | no | — |
| 335 | C2×#168 | C22×D3 | 1 | 1 | yes | characteristic |
| 336 | Dic20 | — | 2 | 2 | no | — |
| 337 | Dic20 | — | 6 | 2 | no | — |
| 338 | #677 | — | 6 | 2 | no | — |
| 339 | #677 | — | 6 | 2 | no | — |
| 340 | #676 | — | 3 | 4 | no | — |
| 341 | C8×D5 | — | 3 | 4 | no | — |
| 342 | C2×#137 | — | 15 | 1 | no | — |
| 343 | C2×AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 344 | C2×#135 | — | 15 | 1 | no | — |
| 345 | C22×SD16 | — | 15 | 1 | no | — |
| 346 | #536 | — | 15 | 1 | no | — |
| 347 | #535 | — | 15 | 1 | no | — |
| 348 | #497 | — | 15 | 1 | no | — |
| 349 | #497 | — | 15 | 1 | no | — |
| 350 | #496 | — | 3 | 1 | no | — |
| 351 | #496 | — | 15 | 1 | no | — |
| 352 | #495 | — | 5 | 1 | no | — |
| 353 | #495 | — | 15 | 1 | no | — |
| 354 | #492 | — | 15 | 1 | no | — |
| 355 | #492 | — | 15 | 1 | no | — |
| 356 | #405 | — | 15 | 1 | no | — |
| 357 | C22×C3×C5 | — | 4 | 1 | no | — |
| 358 | C22×C3×C5 | — | 4 | 1 | no | — |
| 359 | C22×C3×C5 | — | 4 | 2 | no | — |
| 360 | C22×C3×C5 | — | 4 | 2 | no | — |
| 361 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 362 | C2×D15 | — | 2 | 2 | no | — |
| 363 | C2×D15 | — | 4 | 1 | no | — |
| 364 | C2×D15 | — | 4 | 2 | no | — |
| 365 | C2×D15 | — | 8 | 4 | no | — |
| 366 | C2×D15 | #127 | 1 | 2 | yes | — |
| 367 | C2×C5×D3 | — | 4 | 1 | no | — |
| 368 | C2×C5×D3 | — | 4 | 2 | no | — |
| 369 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 370 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 371 | Dic15 | — | 4 | 1 | no | — |
| 372 | Dic15 | #127 | 1 | 2 | yes | — |
| 373 | C3×Dic5 | — | 2 | 2 | no | — |
| 374 | C3×Dic5 | — | 4 | 1 | no | — |
| 375 | C3×Dic5 | — | 4 | 1 | no | — |
| 376 | C5×Dic3 | — | 2 | 2 | no | — |
| 377 | C5×Dic3 | — | 4 | 1 | no | — |
| 378 | C23×D3 | — | 10 | 1 | no | — |
| 379 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 380 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 381 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 382 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 383 | C2×#67 | — | 2 | 2 | no | — |
| 384 | C2×#67 | — | 10 | 1 | no | — |
| 385 | C2×#67 | — | 10 | 1 | no | — |
| 386 | C22×Dic3 | — | 10 | 1 | no | — |
| 387 | #239 | — | 10 | 2 | no | — |
| 388 | #239 | — | 10 | 2 | no | — |
| 389 | D3×Q8 | — | 10 | 2 | no | — |
| 390 | D3×Q8 | — | 10 | 2 | no | — |
| 391 | #237 | — | 10 | 2 | no | — |
| 392 | #237 | — | 10 | 2 | no | — |
| 393 | D3×D4 | — | 10 | 2 | no | — |
| 394 | D3×D4 | — | 10 | 2 | no | — |
| 395 | C2×D12 | — | 5 | 1 | no | — |
| 396 | C2×D12 | — | 10 | 1 | no | — |
| 397 | C2×D12 | — | 10 | 2 | no | — |
| 398 | C2×D12 | C22×D5 | 1 | 1 | yes | characteristic |
| 399 | C2×C4×D3 | — | 5 | 1 | no | — |
| 400 | C2×C4×D3 | — | 10 | 1 | no | — |
| 401 | C2×C4×D3 | — | 10 | 1 | no | — |
| 402 | C2×Dic6 | — | 5 | 1 | no | — |
| 403 | C2×Dic6 | — | 10 | 1 | no | — |
| 404 | C2×Dic6 | C22×D5 | 1 | 1 | yes | characteristic |
| 405 | C3×Q16 | — | 10 | 2 | no | — |
| 406 | C3×SD16 | — | 10 | 2 | no | — |
| 407 | C3×SD16 | — | 10 | 2 | no | — |
| 408 | C3×D8 | — | 2 | 2 | no | — |
| 409 | C2×C3×C8 | — | 5 | 1 | no | — |
| 410 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 411 | C3×C22⋊C4 | — | 10 | 2 | no | — |
| 412 | C3×C22⋊C4 | — | 10 | 2 | no | — |
| 413 | C3×C42 | — | 5 | 1 | no | — |
| 414 | #217 | — | 2 | 2 | no | — |
| 415 | #216 | — | 10 | 2 | no | — |
| 416 | #216 | — | 10 | 2 | no | — |
| 417 | #215 | — | 10 | 2 | no | — |
| 418 | #215 | — | 10 | 2 | no | — |
| 419 | #214 | — | 2 | 2 | no | — |
| 420 | #214 | — | 10 | 2 | no | — |
| 421 | #213 | — | 2 | 2 | no | — |
| 422 | #213 | — | 10 | 2 | no | — |
| 423 | (C2×D3)⋊C4 | — | 5 | 2 | no | — |
| 424 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 425 | C4⋊Dic3 | — | 10 | 2 | no | — |
| 426 | Dic3⋊C4 | — | 5 | 2 | no | — |
| 427 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 428 | C4×Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 429 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 430 | C2×C3⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 431 | #204 | — | 2 | 2 | no | — |
| 432 | #204 | — | 10 | 2 | no | — |
| 433 | #204 | — | 10 | 2 | no | — |
| 434 | #204 | — | 10 | 2 | no | — |
| 435 | ΓL(1,𝔽25) | — | 5 | 4 | no | — |
| 436 | D3×C8 | — | 5 | 4 | no | — |
| 437 | C23×C5 | — | 2 | 1 | no | — |
| 438 | C23×C5 | — | 2 | 1 | no | — |
| 439 | C23×C5 | — | 6 | 1 | no | — |
| 440 | C22×D5 | — | 3 | 1 | no | — |
| 441 | C22×D5 | — | 6 | 1 | no | — |
| 442 | C22×D5 | — | 12 | 2 | no | — |
| 443 | C22×D5 | — | 24 | 2 | no | — |
| 444 | C5×Q8 | — | 6 | 1 | no | — |
| 445 | C5×Q8 | — | 6 | 1 | no | — |
| 446 | C5×D4 | — | 2 | 1 | no | — |
| 447 | C5×D4 | — | 2 | 1 | no | — |
| 448 | C5×D4 | — | 2 | 1 | no | — |
| 449 | C5×D4 | — | 2 | 1 | no | — |
| 450 | C5×D4 | — | 6 | 1 | no | — |
| 451 | C5×D4 | — | 6 | 1 | no | — |
| 452 | C5×D4 | — | 24 | 2 | no | — |
| 453 | C2×C4×C5 | — | 3 | 2 | no | — |
| 454 | C2×C4×C5 | — | 6 | 1 | no | — |
| 455 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 456 | C22⋊D5 | — | 12 | 2 | no | — |
| 457 | C22⋊D5 | — | 12 | 2 | no | — |
| 458 | C22⋊D5 | — | 12 | 2 | no | — |
| 459 | C22⋊D5 | — | 24 | 2 | no | — |
| 460 | C2×Dic5 | — | 2 | 1 | no | — |
| 461 | C2×Dic5 | — | 2 | 1 | no | — |
| 462 | C2×Dic5 | — | 3 | 1 | no | — |
| 463 | C2×Dic5 | — | 6 | 1 | no | — |
| 464 | C2×Dic5 | — | 12 | 2 | no | — |
| 465 | C2×Dic5 | — | 12 | 2 | no | — |
| 466 | C2×Dic5 | D3×D4 | 1 | 2 | yes | — |
| 467 | D20 | — | 6 | 1 | no | — |
| 468 | D20 | — | 6 | 1 | no | — |
| 469 | C4×D5 | — | 3 | 2 | no | — |
| 470 | C4×D5 | — | 3 | 2 | no | — |
| 471 | C4×D5 | — | 12 | 2 | no | — |
| 472 | Dic10 | — | 2 | 1 | no | — |
| 473 | Dic10 | — | 2 | 1 | no | — |
| 474 | Dic10 | — | 2 | 1 | no | — |
| 475 | Dic10 | — | 2 | 1 | no | — |
| 476 | Dic10 | — | 6 | 1 | no | — |
| 477 | Dic10 | — | 6 | 1 | no | — |
| 478 | Dic10 | — | 12 | 2 | no | — |
| 479 | C5×C8 | — | 3 | 2 | no | — |
| 480 | C5×C8 | D3×D4 | 1 | 2 | yes | — |
| 481 | #168 | — | 3 | 2 | no | — |
| 482 | #168 | D3×D4 | 1 | 2 | yes | — |
| 483 | C2×#41 | — | 15 | 1 | no | — |
| 484 | C2×#41 | — | 15 | 1 | no | — |
| 485 | C22×Q8 | — | 15 | 1 | no | — |
| 486 | C22×D4 | — | 15 | 1 | no | — |
| 487 | #137 | — | 30 | 4 | no | — |
| 488 | AGL(1,ℤ/8) | — | 30 | 4 | no | — |
| 489 | #135 | — | 30 | 4 | no | — |
| 490 | C2×Q16 | — | 5 | 1 | no | — |
| 491 | C2×Q16 | — | 15 | 1 | no | — |
| 492 | C2×Q16 | — | 15 | 1 | no | — |
| 493 | C2×SD16 | — | 3 | 1 | no | — |
| 494 | C2×SD16 | — | 3 | 1 | no | — |
| 495 | C2×SD16 | — | 5 | 1 | no | — |
| 496 | C2×SD16 | — | 5 | 1 | no | — |
| 497 | C2×SD16 | — | 15 | 1 | no | — |
| 498 | C2×SD16 | — | 15 | 1 | no | — |
| 499 | C2×SD16 | — | 15 | 1 | no | — |
| 500 | C2×SD16 | — | 15 | 1 | no | — |
| 501 | C2×SD16 | — | 15 | 1 | no | — |
| 502 | C2×SD16 | — | 15 | 1 | no | — |
| 503 | C2×SD16 | — | 30 | 4 | no | — |
| 504 | C2×D8 | — | 3 | 1 | no | — |
| 505 | C2×D8 | — | 15 | 1 | no | — |
| 506 | C2×D8 | D3×D5 | 1 | 1 | yes | characteristic |
| 507 | C2×M16 | — | 15 | 1 | no | — |
| 508 | C22×C8 | — | 15 | 1 | no | — |
| 509 | C4⋊Q8 | — | 15 | 1 | no | — |
| 510 | C4⋊Q8 | — | 15 | 1 | no | — |
| 511 | #127 | — | 3 | 1 | no | — |
| 512 | #127 | — | 15 | 1 | no | — |
| 513 | #124 | — | 3 | 1 | no | — |
| 514 | #124 | — | 5 | 1 | no | — |
| 515 | #124 | — | 5 | 1 | no | — |
| 516 | #124 | — | 15 | 1 | no | — |
| 517 | #123 | — | 30 | 2 | no | — |
| 518 | C22⋊Q8 | — | 30 | 2 | no | — |
| 519 | #121 | — | 30 | 2 | no | — |
| 520 | #120 | — | 30 | 2 | no | — |
| 521 | #117 | — | 15 | 1 | no | — |
| 522 | #97 | — | 3 | 1 | no | — |
| 523 | #97 | — | 15 | 1 | no | — |
| 524 | C4×C8 | — | 5 | 1 | no | — |
| 525 | C4×C8 | — | 15 | 1 | no | — |
| 526 | C2×C3×C5 | — | 8 | 1 | no | — |
| 527 | C2×C3×C5 | — | 8 | 1 | no | — |
| 528 | C2×C3×C5 | C2×#127 | 1 | 1 | yes | characteristic |
| 529 | C2×C3×C5 | #577 | 1 | 2 | yes | — |
| 530 | D15 | — | 2 | 2 | no | — |
| 531 | D15 | — | 8 | 1 | no | — |
| 532 | C5×D3 | — | 8 | 1 | no | — |
| 533 | C23×C3 | — | 2 | 1 | no | — |
| 534 | C23×C3 | — | 2 | 1 | no | — |
| 535 | C22×D3 | — | 2 | 1 | no | — |
| 536 | C22×D3 | — | 5 | 1 | no | — |
| 537 | C22×D3 | — | 10 | 1 | no | — |
| 538 | C22×D3 | — | 20 | 2 | no | — |
| 539 | C22×D3 | — | 40 | 2 | no | — |
| 540 | C3×Q8 | — | 10 | 1 | no | — |
| 541 | C3×Q8 | — | 10 | 1 | no | — |
| 542 | C3×Q8 | — | 10 | 1 | no | — |
| 543 | C3×Q8 | — | 10 | 1 | no | — |
| 544 | C3×D4 | — | 2 | 1 | no | — |
| 545 | C3×D4 | — | 2 | 1 | no | — |
| 546 | C3×D4 | — | 2 | 1 | no | — |
| 547 | C3×D4 | — | 2 | 1 | no | — |
| 548 | C2×C3×C4 | — | 5 | 2 | no | — |
| 549 | C2×C3×C4 | — | 10 | 1 | no | — |
| 550 | C2×C3×C4 | — | 10 | 1 | no | — |
| 551 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 552 | #67 | — | 8 | 2 | no | — |
| 553 | #67 | — | 20 | 2 | no | — |
| 554 | #67 | — | 20 | 2 | no | — |
| 555 | C2×Dic3 | — | 2 | 1 | no | — |
| 556 | C2×Dic3 | — | 5 | 1 | no | — |
| 557 | C2×Dic3 | — | 10 | 1 | no | — |
| 558 | C2×Dic3 | — | 20 | 2 | no | — |
| 559 | C2×Dic3 | D4×D5 | 1 | 2 | yes | — |
| 560 | D12 | — | 2 | 1 | no | — |
| 561 | D12 | — | 2 | 1 | no | — |
| 562 | D12 | — | 10 | 1 | no | — |
| 563 | D12 | — | 10 | 1 | no | — |
| 564 | D12 | — | 20 | 2 | no | — |
| 565 | D12 | — | 40 | 2 | no | — |
| 566 | C4×D3 | — | 5 | 2 | no | — |
| 567 | C4×D3 | — | 5 | 2 | no | — |
| 568 | C4×D3 | — | 20 | 2 | no | — |
| 569 | C4×D3 | — | 20 | 2 | no | — |
| 570 | Dic6 | — | 2 | 1 | no | — |
| 571 | Dic6 | — | 2 | 1 | no | — |
| 572 | Dic6 | — | 10 | 1 | no | — |
| 573 | Dic6 | — | 10 | 1 | no | — |
| 574 | Dic6 | — | 20 | 2 | no | — |
| 575 | C3×C8 | — | 5 | 2 | no | — |
| 576 | C3×C8 | D4×D5 | 1 | 2 | yes | — |
| 577 | C3⋊C8 | — | 5 | 2 | no | — |
| 578 | C3⋊C8 | D4×D5 | 1 | 2 | yes | — |
| 579 | C22×C5 | — | 4 | 1 | no | — |
| 580 | C22×C5 | — | 4 | 1 | no | — |
| 581 | C22×C5 | — | 4 | 2 | no | — |
| 582 | C22×C5 | — | 4 | 2 | no | — |
| 583 | C22×C5 | — | 12 | 1 | no | — |
| 584 | C22×C5 | — | 12 | 2 | no | — |
| 585 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 586 | C2×D5 | — | 3 | 2 | no | — |
| 587 | C2×D5 | — | 6 | 2 | no | — |
| 588 | C2×D5 | — | 12 | 1 | no | — |
| 589 | C2×D5 | — | 12 | 2 | no | — |
| 590 | C2×D5 | — | 24 | 4 | no | — |
| 591 | C4×C5 | — | 6 | 2 | no | — |
| 592 | C4×C5 | — | 12 | 1 | no | — |
| 593 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 594 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 595 | Dic5 | — | 2 | 2 | no | — |
| 596 | Dic5 | — | 3 | 2 | no | — |
| 597 | Dic5 | — | 4 | 1 | no | — |
| 598 | Dic5 | — | 4 | 1 | no | — |
| 599 | Dic5 | — | 12 | 1 | no | — |
| 600 | C24 | — | 30 | 1 | no | — |
| 601 | #41 | — | 30 | 2 | no | — |
| 602 | #41 | — | 30 | 2 | no | — |
| 603 | #41 | — | 30 | 2 | no | — |
| 604 | #41 | — | 30 | 2 | no | — |
| 605 | C2×Q8 | — | 3 | 1 | no | — |
| 606 | C2×Q8 | — | 5 | 1 | no | — |
| 607 | C2×Q8 | — | 5 | 1 | no | — |
| 608 | C2×Q8 | — | 15 | 1 | no | — |
| 609 | C2×Q8 | — | 30 | 1 | no | — |
| 610 | C2×Q8 | — | 30 | 2 | no | — |
| 611 | C2×Q8 | — | 30 | 2 | no | — |
| 612 | C2×D4 | — | 3 | 1 | no | — |
| 613 | C2×D4 | — | 6 | 2 | no | — |
| 614 | C2×D4 | — | 15 | 1 | no | — |
| 615 | C2×D4 | — | 30 | 2 | no | — |
| 616 | C2×D4 | — | 30 | 1 | no | — |
| 617 | C2×D4 | — | 30 | 2 | no | — |
| 618 | C2×D4 | — | 30 | 2 | no | — |
| 619 | C2×D4 | — | 30 | 1 | no | — |
| 620 | C2×D4 | — | 30 | 1 | no | — |
| 621 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 622 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 623 | C22×C4 | — | 15 | 1 | no | — |
| 624 | C22×C4 | — | 30 | 1 | no | — |
| 625 | C22×C4 | — | 30 | 1 | no | — |
| 626 | C22×C4 | — | 30 | 1 | no | — |
| 627 | Q16 | — | 10 | 2 | no | — |
| 628 | Q16 | — | 30 | 2 | no | — |
| 629 | Q16 | — | 30 | 2 | no | — |
| 630 | SD16 | — | 6 | 2 | no | — |
| 631 | SD16 | — | 6 | 2 | no | — |
| 632 | SD16 | — | 10 | 2 | no | — |
| 633 | SD16 | — | 10 | 2 | no | — |
| 634 | SD16 | — | 30 | 2 | no | — |
| 635 | SD16 | — | 30 | 2 | no | — |
| 636 | SD16 | — | 30 | 2 | no | — |
| 637 | SD16 | — | 30 | 2 | no | — |
| 638 | SD16 | — | 30 | 2 | no | — |
| 639 | SD16 | — | 30 | 2 | no | — |
| 640 | D8 | — | 2 | 2 | no | — |
| 641 | D8 | — | 6 | 2 | no | — |
| 642 | D8 | — | 30 | 2 | no | — |
| 643 | M16 | — | 15 | 4 | no | — |
| 644 | C2×C8 | — | 3 | 1 | no | — |
| 645 | C2×C8 | — | 5 | 1 | no | — |
| 646 | C2×C8 | — | 15 | 4 | no | — |
| 647 | C2×C8 | — | 15 | 1 | no | — |
| 648 | C2×C8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 649 | C4⋊C4 | — | 15 | 2 | no | — |
| 650 | C4⋊C4 | — | 30 | 2 | no | — |
| 651 | C4⋊C4 | — | 30 | 2 | no | — |
| 652 | C22⋊C4 | — | 6 | 2 | no | — |
| 653 | C22⋊C4 | — | 10 | 2 | no | — |
| 654 | C22⋊C4 | — | 10 | 2 | no | — |
| 655 | C22⋊C4 | — | 15 | 2 | no | — |
| 656 | C22⋊C4 | — | 30 | 2 | no | — |
| 657 | C42 | — | 3 | 1 | no | — |
| 658 | C42 | — | 5 | 1 | no | — |
| 659 | C3×C5 | #3154 | 1 | 1 | yes | characteristic, complemented, Hall |
| 660 | C22×C3 | — | 4 | 1 | no | — |
| 661 | C22×C3 | — | 4 | 1 | no | — |
| 662 | C22×C3 | — | 4 | 2 | no | — |
| 663 | C22×C3 | — | 4 | 2 | no | — |
| 664 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 665 | C2×D3 | — | 4 | 1 | no | — |
| 666 | C2×D3 | — | 4 | 2 | no | — |
| 667 | C2×D3 | — | 5 | 2 | no | — |
| 668 | C2×D3 | — | 10 | 2 | no | — |
| 669 | C2×D3 | — | 20 | 1 | no | — |
| 670 | C2×D3 | — | 20 | 2 | no | — |
| 671 | C2×D3 | — | 40 | 4 | no | — |
| 672 | C3×C4 | — | 10 | 2 | no | — |
| 673 | C3×C4 | — | 20 | 1 | no | — |
| 674 | C3×C4 | — | 20 | 1 | no | — |
| 675 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 676 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 677 | Dic3 | — | 2 | 2 | no | — |
| 678 | Dic3 | — | 4 | 1 | no | — |
| 679 | Dic3 | — | 5 | 2 | no | — |
| 680 | Dic3 | — | 20 | 1 | no | — |
| 681 | C2×C5 | — | 8 | 1 | no | — |
| 682 | C2×C5 | — | 8 | 1 | no | — |
| 683 | C2×C5 | — | 24 | 1 | no | — |
| 684 | C2×C5 | D3×#127 | 1 | 1 | yes | characteristic |
| 685 | C2×C5 | #5770 | 1 | 2 | yes | — |
| 686 | D5 | — | 6 | 2 | no | — |
| 687 | D5 | — | 24 | 1 | no | — |
| 688 | C23 | — | 2 | 1 | no | — |
| 689 | C23 | — | 2 | 1 | no | — |
| 690 | C23 | — | 6 | 1 | no | — |
| 691 | C23 | — | 15 | 1 | no | — |
| 692 | C23 | — | 30 | 1 | no | — |
| 693 | C23 | — | 60 | 2 | no | — |
| 694 | C23 | — | 120 | 2 | no | — |
| 695 | Q8 | — | 6 | 1 | no | — |
| 696 | Q8 | — | 6 | 1 | no | — |
| 697 | Q8 | — | 10 | 1 | no | — |
| 698 | Q8 | — | 10 | 1 | no | — |
| 699 | Q8 | — | 10 | 1 | no | — |
| 700 | Q8 | — | 10 | 1 | no | — |
| 701 | Q8 | — | 30 | 1 | no | — |
| 702 | Q8 | — | 30 | 1 | no | — |
| 703 | Q8 | — | 60 | 2 | no | — |
| 704 | D4 | — | 2 | 1 | no | — |
| 705 | D4 | — | 2 | 1 | no | — |
| 706 | D4 | — | 2 | 1 | no | — |
| 707 | D4 | — | 2 | 1 | no | — |
| 708 | D4 | — | 6 | 1 | no | — |
| 709 | D4 | — | 6 | 1 | no | — |
| 710 | D4 | — | 24 | 2 | no | — |
| 711 | D4 | — | 30 | 1 | no | — |
| 712 | D4 | — | 30 | 1 | no | — |
| 713 | D4 | — | 60 | 2 | no | — |
| 714 | D4 | — | 60 | 2 | no | — |
| 715 | D4 | — | 60 | 2 | no | — |
| 716 | D4 | — | 120 | 2 | no | — |
| 717 | C2×C4 | — | 3 | 2 | no | — |
| 718 | C2×C4 | — | 5 | 2 | no | — |
| 719 | C2×C4 | — | 6 | 1 | no | — |
| 720 | C2×C4 | — | 10 | 1 | no | — |
| 721 | C2×C4 | — | 10 | 1 | no | — |
| 722 | C2×C4 | — | 15 | 1 | no | — |
| 723 | C2×C4 | — | 15 | 2 | no | — |
| 724 | C2×C4 | — | 15 | 2 | no | — |
| 725 | C2×C4 | — | 30 | 1 | no | — |
| 726 | C2×C4 | — | 60 | 2 | no | — |
| 727 | C2×C4 | — | 60 | 2 | no | — |
| 728 | C2×C4 | — | 60 | 2 | no | — |
| 729 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 730 | C8 | — | 3 | 2 | no | — |
| 731 | C8 | — | 5 | 2 | no | — |
| 732 | C8 | — | 15 | 2 | no | — |
| 733 | C8 | #6790 | 1 | 2 | yes | — |
| 734 | C2×C3 | — | 8 | 1 | no | — |
| 735 | C2×C3 | — | 8 | 1 | no | — |
| 736 | C2×C3 | D5×#127 | 1 | 1 | yes | characteristic |
| 737 | C2×C3 | #66109 | 1 | 2 | yes | — |
| 738 | D3 | — | 8 | 1 | no | — |
| 739 | D3 | — | 10 | 2 | no | — |
| 740 | D3 | — | 40 | 1 | no | — |
| 741 | C5 | #81822 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 742 | C22 | — | 4 | 1 | no | — |
| 743 | C22 | — | 4 | 1 | no | — |
| 744 | C22 | — | 4 | 2 | no | — |
| 745 | C22 | — | 4 | 2 | no | — |
| 746 | C22 | — | 12 | 1 | no | — |
| 747 | C22 | — | 12 | 2 | no | — |
| 748 | C22 | — | 15 | 2 | no | — |
| 749 | C22 | — | 30 | 2 | no | — |
| 750 | C22 | — | 60 | 1 | no | — |
| 751 | C22 | — | 60 | 2 | no | — |
| 752 | C22 | — | 120 | 4 | no | — |
| 753 | C22 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 754 | C4 | — | 6 | 2 | no | — |
| 755 | C4 | — | 10 | 2 | no | — |
| 756 | C4 | — | 12 | 1 | no | — |
| 757 | C4 | — | 15 | 2 | no | — |
| 758 | C4 | — | 20 | 1 | no | — |
| 759 | C4 | — | 20 | 1 | no | — |
| 760 | C4 | — | 60 | 1 | no | — |
| 761 | C4 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 762 | C4 | C2×#6790 | 1 | 1 | yes | characteristic |
| 763 | C3 | #10613578 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 764 | C2 | — | 8 | 1 | no | — |
| 765 | C2 | — | 8 | 1 | no | — |
| 766 | C2 | — | 24 | 1 | no | — |
| 767 | C2 | — | 30 | 2 | no | — |
| 768 | C2 | — | 120 | 1 | no | — |
| 769 | C2 | #11754062 | 1 | 2 | yes | — |
| 770 | C2 | #11755052 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta