| 1 | #11756504 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11756285 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#91108 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#91108 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751233 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C3×C5×#344 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11746354 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10599834 | — | 3 | 1 | no | maximal, Hall |
| 9 | C2×#6817 | C22 | 1 | 1 | yes | characteristic |
| 10 | C22×Dic30 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C3×C5×M16 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×C3×C5×M16 | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×C5×#117 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#6710 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×#6710 | C22 | 1 | 1 | yes | characteristic |
| 16 | #91796 | — | 2 | 2 | no | — |
| 17 | M16×D15 | — | 2 | 2 | no | — |
| 18 | #91790 | — | 2 | 2 | no | — |
| 19 | #91786 | — | 2 | 2 | no | — |
| 20 | #91775 | C4 | 1 | 4 | yes | — |
| 21 | #91764 | — | 2 | 1 | no | — |
| 22 | #91758 | — | 2 | 1 | no | — |
| 23 | #91108 | — | 2 | 1 | no | — |
| 24 | #91108 | — | 2 | 2 | no | — |
| 25 | #91108 | — | 2 | 2 | no | — |
| 26 | #91107 | — | 2 | 1 | no | — |
| 27 | #69041 | — | 5 | 1 | no | maximal, Hall |
| 28 | #66079 | — | 3 | 1 | no | — |
| 29 | #65860 | — | 3 | 1 | no | — |
| 30 | C2×#3956 | — | 3 | 1 | no | — |
| 31 | C2×#3956 | — | 3 | 1 | no | — |
| 32 | #65421 | — | 3 | 1 | no | — |
| 33 | C5×#344 | D3 | 1 | 1 | yes | characteristic, complemented |
| 34 | #64753 | — | 3 | 1 | no | — |
| 35 | C22×C3×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 36 | C2×#1220 | C2×C4 | 1 | 2 | yes | — |
| 37 | C22×Dic15 | C2×C4 | 1 | 2 | yes | — |
| 38 | #6817 | — | 2 | 1 | no | — |
| 39 | #6817 | — | 2 | 1 | no | — |
| 40 | #6817 | — | 2 | 1 | no | — |
| 41 | #6817 | — | 2 | 1 | no | — |
| 42 | C2×D60 | D4 | 1 | 1 | yes | characteristic |
| 43 | C2×C4×D15 | D4 | 1 | 2 | yes | — |
| 44 | C2×Dic30 | — | 2 | 1 | no | — |
| 45 | C2×Dic30 | — | 2 | 1 | no | — |
| 46 | C2×Dic30 | — | 2 | 1 | no | — |
| 47 | C2×Dic30 | — | 2 | 1 | no | — |
| 48 | C2×Dic30 | — | 2 | 1 | no | — |
| 49 | C2×Dic30 | — | 2 | 1 | no | — |
| 50 | C2×Dic30 | D4 | 1 | 1 | yes | characteristic |
| 51 | C3×C5×M16 | — | 2 | 1 | no | — |
| 52 | C3×C5×M16 | — | 2 | 1 | no | — |
| 53 | C3×C5×M16 | — | 2 | 1 | no | — |
| 54 | C3×C5×M16 | D4 | 1 | 2 | yes | — |
| 55 | C2×C3×C5×C8 | — | 2 | 1 | no | — |
| 56 | C2×C3×C5×C8 | — | 2 | 1 | no | — |
| 57 | C3×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 58 | C3×C5×C22⋊C4 | C2×C4 | 1 | 2 | yes | — |
| 59 | C3×C42×C5 | — | 2 | 1 | no | — |
| 60 | #6714 | — | 2 | 4 | no | — |
| 61 | C4⋊Dic15 | — | 2 | 4 | no | — |
| 62 | #6710 | — | 2 | 1 | no | — |
| 63 | #6710 | — | 2 | 1 | no | — |
| 64 | #6710 | — | 2 | 1 | no | — |
| 65 | #6710 | D4 | 1 | 2 | yes | — |
| 66 | C2×C3⋊#168 | — | 2 | 1 | no | — |
| 67 | C2×C3⋊#168 | — | 2 | 1 | no | — |
| 68 | #6705 | — | 2 | 4 | no | — |
| 69 | C8×D15 | — | 2 | 4 | no | — |
| 70 | #5745 | — | 5 | 1 | no | — |
| 71 | #5526 | — | 5 | 1 | no | — |
| 72 | C2×#824 | — | 5 | 1 | no | — |
| 73 | C2×#824 | — | 5 | 1 | no | — |
| 74 | #5132 | — | 5 | 1 | no | — |
| 75 | C3×#344 | D5 | 1 | 1 | yes | characteristic, complemented |
| 76 | #4533 | — | 5 | 1 | no | — |
| 77 | C2×#709 | — | 3 | 1 | no | — |
| 78 | C22×Dic10 | — | 3 | 1 | no | — |
| 79 | C2×C5×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 80 | C2×C5×M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 81 | C5×#117 | C2×D3 | 1 | 1 | yes | characteristic |
| 82 | C2×#681 | — | 3 | 1 | no | — |
| 83 | C2×#681 | — | 3 | 1 | no | — |
| 84 | #4053 | — | 6 | 2 | no | — |
| 85 | D5×M16 | — | 6 | 2 | no | — |
| 86 | #4047 | — | 6 | 2 | no | — |
| 87 | #4043 | — | 6 | 2 | no | — |
| 88 | #4032 | — | 3 | 4 | no | — |
| 89 | #4021 | — | 6 | 1 | no | — |
| 90 | #4015 | — | 6 | 1 | no | — |
| 91 | #3956 | — | 6 | 2 | no | — |
| 92 | #3956 | — | 6 | 1 | no | — |
| 93 | #3956 | — | 6 | 2 | no | — |
| 94 | #3955 | — | 6 | 1 | no | — |
| 95 | #1915 | — | 15 | 1 | no | Sylow |
| 96 | C23×C3×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 97 | C22×D15 | C22⋊C4 | 1 | 2 | yes | — |
| 98 | C2×C3×C4×C5 | — | 2 | 2 | no | — |
| 99 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 100 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 101 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 102 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 103 | C2×C3×C4×C5 | #41 | 1 | 1 | yes | characteristic |
| 104 | C2×C3×C4×C5 | #41 | 1 | 1 | yes | characteristic |
| 105 | #1220 | — | 2 | 2 | no | — |
| 106 | #1220 | — | 2 | 2 | no | — |
| 107 | C2×Dic15 | — | 2 | 2 | no | — |
| 108 | C2×Dic15 | — | 2 | 2 | no | — |
| 109 | C2×Dic15 | — | 2 | 2 | no | — |
| 110 | C2×Dic15 | C22⋊C4 | 1 | 2 | yes | — |
| 111 | D60 | — | 2 | 1 | no | — |
| 112 | D60 | — | 2 | 1 | no | — |
| 113 | C4×D15 | — | 2 | 2 | no | — |
| 114 | C4×D15 | — | 2 | 2 | no | — |
| 115 | Dic30 | — | 2 | 1 | no | — |
| 116 | Dic30 | — | 2 | 1 | no | — |
| 117 | Dic30 | — | 4 | 1 | no | — |
| 118 | Dic30 | — | 4 | 1 | no | — |
| 119 | Dic30 | — | 4 | 1 | no | — |
| 120 | Dic30 | — | 4 | 1 | no | — |
| 121 | C3×C5×C8 | — | 2 | 2 | no | — |
| 122 | C3×C5×C8 | — | 4 | 1 | no | — |
| 123 | C3⋊#168 | — | 2 | 2 | no | — |
| 124 | C3⋊#168 | — | 4 | 1 | no | — |
| 125 | C2×#235 | — | 5 | 1 | no | — |
| 126 | C22×Dic6 | — | 5 | 1 | no | — |
| 127 | C2×C3×M16 | C2×D5 | 1 | 1 | yes | characteristic |
| 128 | C2×C3×M16 | C2×D5 | 1 | 1 | yes | characteristic |
| 129 | C3×#117 | C2×D5 | 1 | 1 | yes | characteristic |
| 130 | C2×#208 | — | 5 | 1 | no | — |
| 131 | C2×#208 | — | 5 | 1 | no | — |
| 132 | #907 | — | 10 | 2 | no | — |
| 133 | D3×M16 | — | 10 | 2 | no | — |
| 134 | #901 | — | 10 | 2 | no | — |
| 135 | #897 | — | 10 | 2 | no | — |
| 136 | #886 | — | 5 | 4 | no | — |
| 137 | #875 | — | 10 | 1 | no | — |
| 138 | #869 | — | 10 | 1 | no | — |
| 139 | #824 | — | 10 | 2 | no | — |
| 140 | #824 | — | 10 | 1 | no | — |
| 141 | #824 | — | 10 | 2 | no | — |
| 142 | #823 | — | 10 | 1 | no | — |
| 143 | C22×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 144 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 145 | C22×Dic5 | — | 3 | 2 | no | — |
| 146 | #709 | — | 6 | 1 | no | — |
| 147 | #709 | — | 6 | 1 | no | — |
| 148 | #709 | — | 6 | 1 | no | — |
| 149 | #709 | — | 6 | 1 | no | — |
| 150 | C2×D20 | — | 3 | 1 | no | — |
| 151 | C2×C4×D5 | — | 3 | 2 | no | — |
| 152 | C2×Dic10 | — | 3 | 1 | no | — |
| 153 | C2×Dic10 | — | 6 | 1 | no | — |
| 154 | C2×Dic10 | — | 6 | 1 | no | — |
| 155 | C2×Dic10 | — | 6 | 1 | no | — |
| 156 | C2×Dic10 | — | 6 | 1 | no | — |
| 157 | C2×Dic10 | — | 6 | 1 | no | — |
| 158 | C2×Dic10 | — | 6 | 1 | no | — |
| 159 | C5×M16 | — | 2 | 1 | no | — |
| 160 | C5×M16 | — | 2 | 1 | no | — |
| 161 | C5×M16 | — | 2 | 1 | no | — |
| 162 | C5×M16 | D12 | 1 | 2 | yes | — |
| 163 | C2×C5×C8 | — | 2 | 1 | no | — |
| 164 | C2×C5×C8 | — | 2 | 1 | no | — |
| 165 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 166 | C5×C22⋊C4 | C4×D3 | 1 | 2 | yes | — |
| 167 | C42×C5 | — | 2 | 1 | no | — |
| 168 | #685 | — | 6 | 4 | no | — |
| 169 | C4⋊Dic5 | — | 6 | 4 | no | — |
| 170 | #681 | — | 3 | 2 | no | — |
| 171 | #681 | — | 6 | 1 | no | — |
| 172 | #681 | — | 6 | 1 | no | — |
| 173 | #681 | — | 6 | 1 | no | — |
| 174 | C2×#168 | — | 6 | 1 | no | — |
| 175 | C2×#168 | — | 6 | 1 | no | — |
| 176 | #676 | — | 6 | 4 | no | — |
| 177 | C8×D5 | — | 6 | 4 | no | — |
| 178 | #568 | — | 15 | 1 | no | — |
| 179 | #536 | — | 15 | 1 | no | — |
| 180 | #413 | — | 15 | 1 | no | — |
| 181 | C2×#101 | — | 15 | 1 | no | — |
| 182 | C2×#101 | — | 15 | 1 | no | — |
| 183 | #344 | — | 15 | 1 | no | — |
| 184 | #344 | D15 | 1 | 1 | yes | characteristic, complemented |
| 185 | C22×C3×C5 | — | 4 | 1 | no | — |
| 186 | C22×C3×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 187 | C22×C3×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 188 | C22×C3×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 189 | C2×D15 | — | 2 | 2 | no | — |
| 190 | C2×D15 | — | 4 | 2 | no | — |
| 191 | C3×C4×C5 | — | 4 | 2 | no | — |
| 192 | C3×C4×C5 | #120 | 1 | 1 | yes | characteristic |
| 193 | C3×C4×C5 | #121 | 1 | 1 | yes | characteristic |
| 194 | C3×C4×C5 | #121 | 1 | 1 | yes | characteristic |
| 195 | C3×C4×C5 | #123 | 1 | 1 | yes | characteristic |
| 196 | Dic15 | — | 2 | 2 | no | — |
| 197 | Dic15 | — | 4 | 2 | no | — |
| 198 | C22×C3×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 199 | C2×#67 | — | 5 | 2 | no | — |
| 200 | C22×Dic3 | — | 5 | 2 | no | — |
| 201 | #235 | — | 10 | 1 | no | — |
| 202 | #235 | — | 10 | 1 | no | — |
| 203 | #235 | — | 10 | 1 | no | — |
| 204 | #235 | — | 10 | 1 | no | — |
| 205 | C2×D12 | — | 5 | 1 | no | — |
| 206 | C2×C4×D3 | — | 5 | 2 | no | — |
| 207 | C2×Dic6 | — | 5 | 1 | no | — |
| 208 | C2×Dic6 | — | 10 | 1 | no | — |
| 209 | C2×Dic6 | — | 10 | 1 | no | — |
| 210 | C2×Dic6 | — | 10 | 1 | no | — |
| 211 | C2×Dic6 | — | 10 | 1 | no | — |
| 212 | C2×Dic6 | — | 10 | 1 | no | — |
| 213 | C2×Dic6 | — | 10 | 1 | no | — |
| 214 | C3×M16 | — | 2 | 1 | no | — |
| 215 | C3×M16 | — | 2 | 1 | no | — |
| 216 | C3×M16 | — | 2 | 1 | no | — |
| 217 | C3×M16 | D20 | 1 | 2 | yes | — |
| 218 | C2×C3×C8 | — | 2 | 1 | no | — |
| 219 | C2×C3×C8 | — | 2 | 1 | no | — |
| 220 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 221 | C3×C22⋊C4 | C4×D5 | 1 | 2 | yes | — |
| 222 | C3×C42 | — | 2 | 1 | no | — |
| 223 | (C2×D3)⋊C4 | — | 10 | 4 | no | — |
| 224 | C4⋊Dic3 | — | 10 | 4 | no | — |
| 225 | #208 | — | 5 | 2 | no | — |
| 226 | #208 | — | 10 | 1 | no | — |
| 227 | #208 | — | 10 | 1 | no | — |
| 228 | #208 | — | 10 | 1 | no | — |
| 229 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 230 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 231 | ΓL(1,𝔽25) | — | 10 | 4 | no | — |
| 232 | D3×C8 | — | 10 | 4 | no | — |
| 233 | C23×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 234 | C22×D5 | — | 3 | 2 | no | — |
| 235 | C2×C4×C5 | — | 2 | 2 | no | — |
| 236 | C2×C4×C5 | C2×D12 | 1 | 1 | yes | characteristic |
| 237 | C2×C4×C5 | #235 | 1 | 1 | yes | characteristic |
| 238 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 239 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 240 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 241 | C2×C4×C5 | #239 | 1 | 1 | yes | characteristic |
| 242 | C22⋊D5 | — | 6 | 2 | no | — |
| 243 | C22⋊D5 | — | 6 | 2 | no | — |
| 244 | C2×Dic5 | — | 3 | 2 | no | — |
| 245 | C2×Dic5 | — | 6 | 2 | no | — |
| 246 | C2×Dic5 | — | 6 | 2 | no | — |
| 247 | C2×Dic5 | — | 6 | 2 | no | — |
| 248 | D20 | — | 6 | 1 | no | — |
| 249 | D20 | — | 6 | 1 | no | — |
| 250 | C4×D5 | — | 6 | 2 | no | — |
| 251 | C4×D5 | — | 6 | 2 | no | — |
| 252 | Dic10 | — | 6 | 1 | no | — |
| 253 | Dic10 | — | 6 | 1 | no | — |
| 254 | Dic10 | — | 12 | 1 | no | — |
| 255 | Dic10 | — | 12 | 1 | no | — |
| 256 | Dic10 | — | 12 | 1 | no | — |
| 257 | Dic10 | — | 12 | 1 | no | — |
| 258 | C5×C8 | — | 2 | 2 | no | — |
| 259 | C5×C8 | — | 4 | 1 | no | — |
| 260 | #168 | — | 6 | 2 | no | — |
| 261 | #168 | — | 12 | 1 | no | — |
| 262 | C2×#41 | — | 15 | 1 | no | — |
| 263 | C22×Q8 | — | 15 | 1 | no | — |
| 264 | #131 | — | 30 | 2 | no | — |
| 265 | #131 | — | 30 | 2 | no | — |
| 266 | C2×M16 | — | 15 | 1 | no | — |
| 267 | C2×M16 | — | 15 | 1 | no | — |
| 268 | C2×M16 | — | 30 | 2 | no | — |
| 269 | C2×M16 | C2×D15 | 1 | 1 | yes | characteristic |
| 270 | C2×M16 | C2×D15 | 1 | 1 | yes | characteristic |
| 271 | C4⋊Q8 | — | 30 | 1 | no | — |
| 272 | #124 | — | 30 | 1 | no | — |
| 273 | #123 | — | 15 | 4 | no | — |
| 274 | C22⋊Q8 | — | 30 | 2 | no | — |
| 275 | #117 | C2×D15 | 1 | 1 | yes | characteristic |
| 276 | #101 | — | 30 | 2 | no | — |
| 277 | #101 | — | 30 | 1 | no | — |
| 278 | #101 | — | 30 | 2 | no | — |
| 279 | #100 | — | 30 | 1 | no | — |
| 280 | C2×C3×C5 | — | 2 | 1 | no | — |
| 281 | C2×C3×C5 | — | 2 | 1 | no | — |
| 282 | C2×C3×C5 | — | 2 | 1 | no | — |
| 283 | C2×C3×C5 | #386 | 1 | 1 | yes | characteristic |
| 284 | D15 | — | 4 | 2 | no | — |
| 285 | C23×C3 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 286 | C22×D3 | — | 5 | 2 | no | — |
| 287 | C2×C3×C4 | — | 2 | 2 | no | — |
| 288 | C2×C3×C4 | C2×D20 | 1 | 1 | yes | characteristic |
| 289 | C2×C3×C4 | #709 | 1 | 1 | yes | characteristic |
| 290 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 291 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 292 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 293 | C2×C3×C4 | #713 | 1 | 1 | yes | characteristic |
| 294 | #67 | — | 10 | 2 | no | — |
| 295 | #67 | — | 10 | 2 | no | — |
| 296 | C2×Dic3 | — | 5 | 2 | no | — |
| 297 | C2×Dic3 | — | 10 | 2 | no | — |
| 298 | C2×Dic3 | — | 10 | 2 | no | — |
| 299 | C2×Dic3 | — | 10 | 2 | no | — |
| 300 | D12 | — | 10 | 1 | no | — |
| 301 | D12 | — | 10 | 1 | no | — |
| 302 | C4×D3 | — | 10 | 2 | no | — |
| 303 | C4×D3 | — | 10 | 2 | no | — |
| 304 | Dic6 | — | 10 | 1 | no | — |
| 305 | Dic6 | — | 10 | 1 | no | — |
| 306 | Dic6 | — | 20 | 1 | no | — |
| 307 | Dic6 | — | 20 | 1 | no | — |
| 308 | Dic6 | — | 20 | 1 | no | — |
| 309 | Dic6 | — | 20 | 1 | no | — |
| 310 | C3×C8 | — | 2 | 2 | no | — |
| 311 | C3×C8 | — | 4 | 1 | no | — |
| 312 | C3⋊C8 | — | 10 | 2 | no | — |
| 313 | C3⋊C8 | — | 20 | 1 | no | — |
| 314 | C22×C5 | — | 4 | 1 | no | — |
| 315 | C22×C5 | C4×D12 | 1 | 1 | yes | characteristic |
| 316 | C22×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 317 | C22×C5 | #893 | 1 | 1 | yes | characteristic |
| 318 | C2×D5 | — | 6 | 2 | no | — |
| 319 | C2×D5 | — | 12 | 2 | no | — |
| 320 | C4×C5 | — | 4 | 2 | no | — |
| 321 | C4×C5 | #882 | 1 | 1 | yes | characteristic |
| 322 | C4×C5 | #884 | 1 | 1 | yes | characteristic |
| 323 | C4×C5 | #894 | 1 | 1 | yes | characteristic |
| 324 | C4×C5 | #895 | 1 | 1 | yes | characteristic |
| 325 | Dic5 | — | 6 | 2 | no | — |
| 326 | Dic5 | — | 12 | 2 | no | — |
| 327 | #41 | — | 30 | 1 | no | — |
| 328 | #41 | — | 30 | 1 | no | — |
| 329 | #41 | — | 30 | 1 | no | — |
| 330 | #41 | — | 30 | 1 | no | — |
| 331 | C2×Q8 | — | 15 | 1 | no | — |
| 332 | C2×Q8 | — | 30 | 1 | no | — |
| 333 | C2×Q8 | — | 30 | 1 | no | — |
| 334 | C2×Q8 | — | 30 | 1 | no | — |
| 335 | C2×Q8 | — | 30 | 1 | no | — |
| 336 | C2×Q8 | — | 30 | 1 | no | — |
| 337 | C2×Q8 | — | 30 | 1 | no | — |
| 338 | C2×D4 | — | 15 | 2 | no | — |
| 339 | C2×D4 | — | 15 | 1 | no | — |
| 340 | C22×C4 | — | 15 | 2 | no | — |
| 341 | C22×C4 | — | 15 | 2 | no | — |
| 342 | C22×C4 | C22×D15 | 1 | 1 | yes | characteristic |
| 343 | M16 | — | 2 | 1 | no | — |
| 344 | M16 | — | 2 | 1 | no | — |
| 345 | M16 | — | 2 | 1 | no | — |
| 346 | M16 | — | 15 | 2 | no | — |
| 347 | M16 | — | 30 | 4 | no | — |
| 348 | M16 | — | 30 | 1 | no | — |
| 349 | M16 | — | 30 | 1 | no | — |
| 350 | M16 | — | 30 | 1 | no | — |
| 351 | M16 | D60 | 1 | 2 | yes | — |
| 352 | C2×C8 | — | 2 | 1 | no | — |
| 353 | C2×C8 | — | 2 | 1 | no | — |
| 354 | C2×C8 | — | 30 | 4 | no | — |
| 355 | C2×C8 | — | 30 | 1 | no | — |
| 356 | C2×C8 | — | 30 | 1 | no | — |
| 357 | C4⋊C4 | — | 2 | 1 | no | — |
| 358 | C4⋊C4 | — | 30 | 4 | no | — |
| 359 | C22⋊C4 | — | 30 | 4 | no | — |
| 360 | C22⋊C4 | C4×D15 | 1 | 2 | yes | — |
| 361 | C42 | — | 2 | 1 | no | — |
| 362 | C3×C5 | #1915 | 1 | 1 | yes | characteristic, complemented, Hall |
| 363 | C22×C3 | — | 4 | 1 | no | — |
| 364 | C22×C3 | C4×D20 | 1 | 1 | yes | characteristic |
| 365 | C22×C3 | D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 366 | C22×C3 | #4039 | 1 | 1 | yes | characteristic |
| 367 | C2×D3 | — | 10 | 2 | no | — |
| 368 | C2×D3 | — | 20 | 2 | no | — |
| 369 | C3×C4 | — | 4 | 2 | no | — |
| 370 | C3×C4 | #4028 | 1 | 1 | yes | characteristic |
| 371 | C3×C4 | #4030 | 1 | 1 | yes | characteristic |
| 372 | C3×C4 | #4040 | 1 | 1 | yes | characteristic |
| 373 | C3×C4 | #4041 | 1 | 1 | yes | characteristic |
| 374 | Dic3 | — | 10 | 2 | no | — |
| 375 | Dic3 | — | 20 | 2 | no | — |
| 376 | C2×C5 | — | 2 | 1 | no | — |
| 377 | C2×C5 | — | 2 | 1 | no | — |
| 378 | C2×C5 | — | 2 | 1 | no | — |
| 379 | C2×C5 | #4665 | 1 | 1 | yes | characteristic |
| 380 | D5 | — | 12 | 2 | no | — |
| 381 | C23 | — | 15 | 2 | no | — |
| 382 | C23 | C2×C4×D15 | 1 | 1 | yes | characteristic |
| 383 | Q8 | — | 30 | 1 | no | — |
| 384 | Q8 | — | 30 | 1 | no | — |
| 385 | Q8 | — | 60 | 1 | no | — |
| 386 | Q8 | — | 60 | 1 | no | — |
| 387 | Q8 | — | 60 | 1 | no | — |
| 388 | Q8 | — | 60 | 1 | no | — |
| 389 | D4 | — | 30 | 2 | no | — |
| 390 | D4 | — | 30 | 2 | no | — |
| 391 | D4 | — | 30 | 1 | no | — |
| 392 | D4 | — | 30 | 1 | no | — |
| 393 | C2×C4 | — | 2 | 2 | no | — |
| 394 | C2×C4 | — | 15 | 2 | no | — |
| 395 | C2×C4 | — | 30 | 2 | no | — |
| 396 | C2×C4 | — | 30 | 2 | no | — |
| 397 | C2×C4 | — | 30 | 2 | no | — |
| 398 | C2×C4 | — | 30 | 2 | no | — |
| 399 | C2×C4 | — | 30 | 2 | no | — |
| 400 | C2×C4 | C2×D60 | 1 | 1 | yes | characteristic |
| 401 | C2×C4 | #6817 | 1 | 1 | yes | characteristic |
| 402 | C2×C4 | D4×D15 | 1 | 1 | yes | characteristic |
| 403 | C2×C4 | D4×D15 | 1 | 1 | yes | characteristic |
| 404 | C2×C4 | D4×D15 | 1 | 1 | yes | characteristic |
| 405 | C2×C4 | #6821 | 1 | 1 | yes | characteristic |
| 406 | C8 | — | 2 | 2 | no | — |
| 407 | C8 | — | 4 | 1 | no | — |
| 408 | C8 | — | 30 | 2 | no | — |
| 409 | C8 | — | 60 | 1 | no | — |
| 410 | C2×C3 | — | 2 | 1 | no | — |
| 411 | C2×C3 | — | 2 | 1 | no | — |
| 412 | C2×C3 | — | 2 | 1 | no | — |
| 413 | C2×C3 | #64954 | 1 | 1 | yes | characteristic |
| 414 | D3 | — | 20 | 2 | no | — |
| 415 | C5 | #69041 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 416 | C22 | — | 4 | 1 | no | — |
| 417 | C22 | — | 30 | 2 | no | — |
| 418 | C22 | — | 60 | 2 | no | — |
| 419 | C22 | C4×D60 | 1 | 1 | yes | characteristic |
| 420 | C22 | C22⋊C4×D15 | 1 | 1 | yes | characteristic |
| 421 | C22 | #91782 | 1 | 1 | yes | characteristic |
| 422 | C4 | — | 4 | 2 | no | — |
| 423 | C4 | — | 30 | 2 | no | — |
| 424 | C4 | — | 60 | 2 | no | — |
| 425 | C4 | #91771 | 1 | 1 | yes | characteristic |
| 426 | C4 | #91773 | 1 | 1 | yes | characteristic |
| 427 | C4 | #91783 | 1 | 1 | yes | characteristic |
| 428 | C4 | #91784 | 1 | 1 | yes | characteristic |
| 429 | C3 | #10599834 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 430 | C2 | — | 2 | 1 | no | — |
| 431 | C2 | — | 2 | 1 | no | — |
| 432 | C2 | — | 2 | 1 | no | — |
| 433 | C2 | — | 60 | 2 | no | — |
| 434 | C2 | #11750766 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta