| 1 | C5×#5572 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×D3×#689 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11752523 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #11751131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×C4×#689 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11749260 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | Dic3×#689 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11749213 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #11747489 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #11747435 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #11747275 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11747267 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C4×#6663 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11747089 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11746977 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | #10614280 | — | 3 | 1 | no | maximal, Hall |
| 17 | C2×C5×D3×Q8 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×D3×Dic10 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3×C4×C5×Q8 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#6718 | C22 | 1 | 1 | yes | characteristic |
| 21 | C4×Dic30 | C22 | 1 | 1 | yes | characteristic |
| 22 | C5×Q8×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 23 | C5×#892 | — | 2 | 1 | no | — |
| 24 | C5×#892 | C22 | 1 | 1 | yes | characteristic |
| 25 | C5×#887 | — | 2 | 1 | no | — |
| 26 | C5×#887 | C22 | 1 | 1 | yes | characteristic |
| 27 | C5×#872 | — | 2 | 1 | no | — |
| 28 | C5×#872 | C22 | 1 | 1 | yes | characteristic |
| 29 | C4×C5×Dic6 | — | 2 | 1 | no | — |
| 30 | C4×C5×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×C3×#689 | C22 | 1 | 1 | yes | characteristic |
| 32 | C3×C4×Dic10 | C22 | 1 | 1 | yes | characteristic |
| 33 | D3×#689 | C4 | 1 | 8 | yes | complemented |
| 34 | #91400 | — | 2 | 1 | no | — |
| 35 | #91398 | — | 2 | 1 | no | — |
| 36 | #91340 | C22 | 1 | 1 | yes | characteristic |
| 37 | #91338 | C22 | 1 | 1 | yes | characteristic |
| 38 | Dic3×Dic10 | C22 | 1 | 1 | yes | characteristic |
| 39 | #91325 | — | 2 | 1 | no | — |
| 40 | #91323 | — | 2 | 1 | no | — |
| 41 | C2×#6663 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×#6661 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#6650 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×D3×#168 | C22 | 1 | 1 | yes | characteristic |
| 45 | #91119 | C22 | 1 | 1 | yes | characteristic |
| 46 | #91094 | C22 | 1 | 1 | yes | characteristic |
| 47 | #91092 | C22 | 1 | 1 | yes | characteristic |
| 48 | #91087 | C22 | 1 | 1 | yes | characteristic |
| 49 | C3×#3967 | C22 | 1 | 1 | yes | characteristic |
| 50 | C3×#3942 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#3939 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×C4×#168 | C22 | 1 | 1 | yes | characteristic |
| 53 | #90988 | C22 | 1 | 1 | yes | characteristic |
| 54 | #90986 | C22 | 1 | 1 | yes | characteristic |
| 55 | #90975 | C22 | 1 | 1 | yes | characteristic |
| 56 | #90973 | C22 | 1 | 1 | yes | characteristic |
| 57 | #90972 | C22 | 1 | 1 | yes | characteristic |
| 58 | #90970 | C22 | 1 | 1 | yes | characteristic |
| 59 | #90953 | C22 | 1 | 1 | yes | characteristic |
| 60 | Dic3×#168 | C22 | 1 | 1 | yes | characteristic |
| 61 | #79720 | — | 5 | 1 | no | maximal, Hall |
| 62 | C5×#519 | — | 3 | 1 | no | — |
| 63 | C22×#689 | — | 3 | 1 | no | — |
| 64 | #65850 | — | 3 | 1 | no | — |
| 65 | #65514 | — | 3 | 1 | no | — |
| 66 | #65319 | — | 3 | 1 | no | — |
| 67 | #65319 | — | 3 | 1 | no | — |
| 68 | #65319 | — | 3 | 1 | no | — |
| 69 | #65319 | — | 3 | 1 | no | — |
| 70 | C4×#689 | — | 3 | 1 | no | — |
| 71 | C4×#689 | — | 3 | 1 | no | — |
| 72 | C4×#689 | — | 3 | 1 | no | — |
| 73 | C4×#689 | D3 | 1 | 1 | yes | characteristic, complemented |
| 74 | #65293 | — | 3 | 1 | no | — |
| 75 | #65287 | — | 3 | 1 | no | — |
| 76 | #65286 | — | 3 | 1 | no | — |
| 77 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 79 | C5×D3×Q8 | — | 2 | 2 | no | — |
| 80 | C5×D3×Q8 | C2×C4 | 1 | 4 | yes | — |
| 81 | C2×C4×C5×D3 | — | 2 | 1 | no | — |
| 82 | C2×C4×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×C5×Dic6 | — | 2 | 1 | no | — |
| 84 | C2×C5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×#1204 | — | 2 | 1 | no | — |
| 87 | C2×D3×Dic5 | — | 2 | 1 | no | — |
| 88 | D3×Dic10 | — | 2 | 2 | no | — |
| 89 | D3×Dic10 | C2×C4 | 1 | 4 | yes | — |
| 90 | C3×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 91 | C3×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 92 | C3×C42×C5 | — | 2 | 1 | no | — |
| 93 | C3×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 94 | #6718 | C2×C4 | 1 | 4 | yes | — |
| 95 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 96 | #6712 | — | 2 | 1 | no | — |
| 97 | C4×Dic15 | — | 2 | 1 | no | — |
| 98 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 100 | C5×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 101 | C5×(C2×D3)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 102 | C5×(C2×D3)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 103 | C5×C4⋊Dic3 | — | 2 | 1 | no | — |
| 104 | C5×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 105 | C5×Dic3⋊C4 | — | 2 | 1 | no | — |
| 106 | C5×Dic3⋊C4 | — | 2 | 1 | no | — |
| 107 | C5×Dic3⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 108 | C5×Dic3⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 109 | C4×C5×Dic3 | — | 2 | 1 | no | — |
| 110 | C4×C5×Dic3 | — | 2 | 1 | no | — |
| 111 | C4×C5×Dic3 | — | 2 | 1 | no | — |
| 112 | C4×C5×Dic3 | — | 2 | 1 | no | — |
| 113 | C4×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 114 | C3×#689 | C2×C4 | 1 | 4 | yes | — |
| 115 | C3×C4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 116 | C3×#683 | — | 2 | 1 | no | — |
| 117 | C3×C4×Dic5 | — | 2 | 1 | no | — |
| 118 | C2×C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 120 | #6669 | — | 2 | 1 | no | — |
| 121 | #6668 | — | 2 | 1 | no | — |
| 122 | (C2×D3)⋊Dic5 | — | 2 | 1 | no | — |
| 123 | Dic3×Dic5 | — | 2 | 1 | no | — |
| 124 | Dic3×Dic5 | — | 2 | 1 | no | — |
| 125 | Dic3×Dic5 | — | 2 | 1 | no | — |
| 126 | #6663 | C2×C4 | 1 | 4 | yes | — |
| 127 | #6661 | C2×C4 | 1 | 4 | yes | — |
| 128 | #6650 | — | 2 | 2 | no | — |
| 129 | D3×#168 | C2×C4 | 1 | 4 | yes | — |
| 130 | C2×D3×Q16 | — | 5 | 1 | no | — |
| 131 | #5572 | — | 5 | 1 | no | — |
| 132 | #5572 | D5 | 1 | 1 | yes | characteristic |
| 133 | C3×C4×Q16 | — | 5 | 1 | no | — |
| 134 | Dic3×Q16 | — | 5 | 1 | no | — |
| 135 | #5030 | — | 5 | 1 | no | — |
| 136 | #5030 | — | 5 | 1 | no | — |
| 137 | #4880 | — | 5 | 1 | no | — |
| 138 | #4873 | — | 5 | 1 | no | — |
| 139 | #4802 | — | 5 | 1 | no | — |
| 140 | #4802 | — | 5 | 1 | no | — |
| 141 | #4789 | — | 5 | 1 | no | — |
| 142 | #4789 | — | 5 | 1 | no | — |
| 143 | C4×Dic12 | — | 5 | 1 | no | — |
| 144 | #4689 | — | 5 | 1 | no | — |
| 145 | C22×C5×Q8 | — | 3 | 1 | no | — |
| 146 | C22×Dic10 | — | 3 | 1 | no | — |
| 147 | C4×C5×Q8 | — | 3 | 1 | no | — |
| 148 | C4×C5×Q8 | — | 3 | 1 | no | — |
| 149 | C4×C5×Q8 | — | 3 | 1 | no | — |
| 150 | C4×C5×Q8 | — | 6 | 1 | no | — |
| 151 | C4×C5×Q8 | — | 6 | 1 | no | — |
| 152 | C4×C5×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 153 | C5×#117 | — | 3 | 1 | no | — |
| 154 | C5×#117 | — | 3 | 1 | no | — |
| 155 | C5×#117 | — | 6 | 1 | no | — |
| 156 | C5×#117 | — | 6 | 1 | no | — |
| 157 | C2×#689 | — | 3 | 1 | no | — |
| 158 | C2×#689 | — | 3 | 1 | no | — |
| 159 | C2×#689 | — | 3 | 8 | no | — |
| 160 | C2×#689 | — | 3 | 1 | no | — |
| 161 | C2×#689 | C2×D3 | 1 | 1 | yes | characteristic |
| 162 | #4072 | — | 3 | 1 | no | — |
| 163 | C2×#681 | — | 3 | 1 | no | — |
| 164 | C22×#168 | — | 3 | 1 | no | — |
| 165 | #4033 | — | 6 | 1 | no | — |
| 166 | #4033 | — | 6 | 1 | no | — |
| 167 | #4023 | — | 6 | 1 | no | — |
| 168 | #4023 | — | 6 | 1 | no | — |
| 169 | C4×Dic10 | — | 3 | 1 | no | — |
| 170 | C4×Dic10 | — | 3 | 1 | no | — |
| 171 | C4×Dic10 | — | 3 | 1 | no | — |
| 172 | C4×Dic10 | C2×D3 | 1 | 1 | yes | characteristic |
| 173 | #3967 | — | 3 | 1 | no | — |
| 174 | #3967 | — | 3 | 1 | no | — |
| 175 | #3967 | — | 3 | 1 | no | — |
| 176 | #3967 | C2×D3 | 1 | 1 | yes | characteristic |
| 177 | #3942 | — | 3 | 1 | no | — |
| 178 | #3942 | — | 3 | 1 | no | — |
| 179 | #3942 | — | 3 | 1 | no | — |
| 180 | #3942 | C2×D3 | 1 | 1 | yes | characteristic |
| 181 | #3940 | — | 3 | 1 | no | — |
| 182 | #3940 | — | 3 | 1 | no | — |
| 183 | #3939 | — | 3 | 1 | no | — |
| 184 | #3939 | C2×D3 | 1 | 1 | yes | characteristic |
| 185 | #3935 | — | 3 | 1 | no | — |
| 186 | #3935 | — | 3 | 1 | no | — |
| 187 | C4×#168 | — | 3 | 1 | no | — |
| 188 | C4×#168 | C2×D3 | 1 | 1 | yes | characteristic |
| 189 | #2950 | — | 15 | 1 | no | Sylow |
| 190 | C22×C5×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 191 | C3×C5×Q8 | — | 2 | 1 | no | — |
| 192 | C3×C5×Q8 | C22×C4 | 1 | 2 | yes | — |
| 193 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 194 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 195 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 198 | C2×Dic15 | — | 2 | 1 | no | — |
| 199 | C2×Dic15 | — | 2 | 1 | no | — |
| 200 | Dic30 | — | 2 | 1 | no | — |
| 201 | Dic30 | C22×C4 | 1 | 2 | yes | — |
| 202 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 203 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 204 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | C4×C5×D3 | — | 2 | 4 | no | — |
| 208 | C4×C5×D3 | C22×C4 | 1 | 2 | yes | — |
| 209 | C4×C5×D3 | #41 | 1 | 2 | yes | — |
| 210 | C5×Dic6 | — | 2 | 1 | no | — |
| 211 | C5×Dic6 | — | 2 | 4 | no | — |
| 212 | C5×Dic6 | C22×C4 | 1 | 2 | yes | — |
| 213 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 214 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 215 | C3×Dic10 | — | 2 | 1 | no | — |
| 216 | C3×Dic10 | C22×C4 | 1 | 2 | yes | — |
| 217 | #1204 | — | 2 | 4 | no | — |
| 218 | D3×Dic5 | — | 2 | 4 | no | — |
| 219 | C3⋊#168 | — | 2 | 1 | no | — |
| 220 | C3⋊#168 | C22×C4 | 1 | 2 | yes | — |
| 221 | C3×#168 | — | 2 | 1 | no | — |
| 222 | C3×#168 | C22×C4 | 1 | 2 | yes | — |
| 223 | C2×D3×Q8 | — | 5 | 1 | no | — |
| 224 | C2×D3×Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 225 | C2×C3×Q16 | — | 5 | 1 | no | — |
| 226 | C3×C4×Q8 | — | 5 | 1 | no | — |
| 227 | C3×C4×Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 228 | Q8×Dic3 | — | 5 | 1 | no | — |
| 229 | Q8×Dic3 | C2×D5 | 1 | 1 | yes | characteristic |
| 230 | C2×#216 | — | 5 | 1 | no | — |
| 231 | C2×#216 | — | 5 | 1 | no | — |
| 232 | D3×Q16 | — | 5 | 8 | no | — |
| 233 | C2×Dic12 | — | 5 | 1 | no | — |
| 234 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 235 | C2×D3×C8 | — | 5 | 1 | no | — |
| 236 | #892 | — | 2 | 1 | no | — |
| 237 | #892 | — | 5 | 1 | no | — |
| 238 | #892 | — | 10 | 1 | no | — |
| 239 | #892 | C2×D5 | 1 | 1 | yes | characteristic |
| 240 | #887 | — | 2 | 1 | no | — |
| 241 | #887 | — | 5 | 1 | no | — |
| 242 | #887 | — | 10 | 1 | no | — |
| 243 | #887 | C2×D5 | 1 | 1 | yes | characteristic |
| 244 | #872 | — | 2 | 1 | no | — |
| 245 | #872 | — | 10 | 1 | no | — |
| 246 | #872 | C2×D5 | 1 | 1 | yes | characteristic |
| 247 | C4×Dic6 | — | 2 | 1 | no | — |
| 248 | C4×Dic6 | — | 5 | 1 | no | — |
| 249 | C4×Dic6 | — | 10 | 1 | no | — |
| 250 | C4×Dic6 | C2×D5 | 1 | 1 | yes | characteristic |
| 251 | C3×#107 | — | 5 | 1 | no | — |
| 252 | C3×#103 | — | 5 | 1 | no | — |
| 253 | C3×#103 | — | 5 | 1 | no | — |
| 254 | C3×C4×C8 | — | 5 | 1 | no | — |
| 255 | #835 | — | 5 | 1 | no | — |
| 256 | #835 | — | 5 | 1 | no | — |
| 257 | #818 | — | 5 | 1 | no | — |
| 258 | #816 | — | 5 | 1 | no | — |
| 259 | #816 | — | 5 | 1 | no | — |
| 260 | #815 | — | 5 | 1 | no | — |
| 261 | C8×Dic3 | — | 5 | 1 | no | — |
| 262 | #810 | — | 5 | 1 | no | — |
| 263 | #810 | — | 5 | 1 | no | — |
| 264 | #808 | — | 5 | 1 | no | — |
| 265 | #808 | — | 5 | 1 | no | — |
| 266 | #803 | — | 5 | 1 | no | — |
| 267 | C2×C5×Q8 | — | 3 | 4 | no | — |
| 268 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 269 | C2×C5×Q8 | — | 6 | 1 | no | — |
| 270 | C2×C5×Q8 | — | 6 | 2 | no | — |
| 271 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 272 | C22×C4×C5 | — | 3 | 1 | no | — |
| 273 | C22×C4×C5 | — | 6 | 1 | no | — |
| 274 | C22×Dic5 | — | 6 | 1 | no | — |
| 275 | C2×Dic10 | — | 3 | 1 | no | — |
| 276 | C2×Dic10 | — | 3 | 4 | no | — |
| 277 | C2×Dic10 | — | 6 | 2 | no | — |
| 278 | C2×Dic10 | — | 6 | 1 | no | — |
| 279 | C2×Dic10 | C22×D3 | 1 | 1 | yes | characteristic |
| 280 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 281 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 282 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 283 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 284 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 285 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 286 | C5×C4⋊C4 | — | 6 | 1 | no | — |
| 287 | C5×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 288 | C5×C22⋊C4 | — | 3 | 1 | no | — |
| 289 | C5×C22⋊C4 | — | 3 | 1 | no | — |
| 290 | C5×C22⋊C4 | — | 6 | 1 | no | — |
| 291 | C42×C5 | — | 2 | 1 | no | — |
| 292 | C42×C5 | — | 3 | 1 | no | — |
| 293 | C42×C5 | — | 6 | 1 | no | — |
| 294 | C42×C5 | — | 6 | 1 | no | — |
| 295 | C42×C5 | — | 6 | 1 | no | — |
| 296 | C42×C5 | — | 6 | 1 | no | — |
| 297 | C42×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 298 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 299 | #689 | — | 3 | 4 | no | — |
| 300 | #689 | — | 3 | 4 | no | — |
| 301 | #689 | — | 3 | 4 | no | — |
| 302 | #689 | C4×D3 | 1 | 4 | yes | — |
| 303 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 304 | C4⋊Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 305 | #683 | — | 2 | 1 | no | — |
| 306 | #683 | — | 6 | 1 | no | — |
| 307 | #683 | — | 6 | 1 | no | — |
| 308 | #683 | — | 6 | 1 | no | — |
| 309 | C4×Dic5 | — | 2 | 1 | no | — |
| 310 | C4×Dic5 | — | 6 | 1 | no | — |
| 311 | C4×Dic5 | — | 6 | 1 | no | — |
| 312 | C4×Dic5 | — | 6 | 1 | no | — |
| 313 | C4×Dic5 | — | 6 | 1 | no | — |
| 314 | #681 | — | 6 | 2 | no | — |
| 315 | C2×#168 | — | 3 | 1 | no | — |
| 316 | C2×#168 | — | 3 | 4 | no | — |
| 317 | C2×#168 | — | 3 | 1 | no | — |
| 318 | C2×#168 | C22×D3 | 1 | 1 | yes | characteristic |
| 319 | C2×#168 | C22×D3 | 1 | 1 | yes | characteristic |
| 320 | C22×Q16 | — | 15 | 1 | no | — |
| 321 | #519 | — | 3 | 1 | no | — |
| 322 | #519 | — | 15 | 1 | no | — |
| 323 | #441 | — | 15 | 1 | no | — |
| 324 | #441 | — | 15 | 1 | no | — |
| 325 | #441 | — | 15 | 1 | no | — |
| 326 | #441 | — | 15 | 1 | no | — |
| 327 | C4×Q16 | — | 5 | 1 | no | — |
| 328 | C4×Q16 | — | 15 | 1 | no | — |
| 329 | C4×Q16 | — | 15 | 1 | no | — |
| 330 | C4×Q16 | — | 15 | 1 | no | — |
| 331 | #427 | — | 15 | 1 | no | — |
| 332 | #419 | — | 15 | 1 | no | — |
| 333 | #419 | — | 15 | 1 | no | — |
| 334 | #405 | — | 15 | 1 | no | — |
| 335 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 336 | C2×C5×D3 | — | 2 | 1 | no | — |
| 337 | C2×C5×D3 | — | 2 | 1 | no | — |
| 338 | C2×C5×D3 | C4×D4 | 1 | 2 | yes | — |
| 339 | C3×C4×C5 | — | 2 | 2 | no | — |
| 340 | C3×C4×C5 | — | 2 | 1 | no | — |
| 341 | C3×C4×C5 | — | 2 | 1 | no | — |
| 342 | C3×C4×C5 | — | 4 | 1 | no | — |
| 343 | C3×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 344 | C3×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 345 | Dic15 | — | 2 | 2 | no | — |
| 346 | Dic15 | — | 4 | 1 | no | — |
| 347 | C3×Dic5 | — | 2 | 2 | no | — |
| 348 | C3×Dic5 | — | 4 | 1 | no | — |
| 349 | C5×Dic3 | — | 2 | 2 | no | — |
| 350 | C5×Dic3 | — | 2 | 1 | no | — |
| 351 | C5×Dic3 | — | 2 | 1 | no | — |
| 352 | C5×Dic3 | — | 4 | 1 | no | — |
| 353 | C5×Dic3 | C4×D4 | 1 | 2 | yes | — |
| 354 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 355 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 356 | D3×Q8 | — | 2 | 2 | no | — |
| 357 | D3×Q8 | — | 5 | 4 | no | — |
| 358 | D3×Q8 | — | 10 | 2 | no | — |
| 359 | D3×Q8 | C4×D5 | 1 | 4 | yes | — |
| 360 | C2×C4×D3 | — | 2 | 1 | no | — |
| 361 | C2×C4×D3 | — | 10 | 1 | no | — |
| 362 | C2×C4×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 363 | C2×Dic6 | — | 2 | 1 | no | — |
| 364 | C2×Dic6 | — | 5 | 1 | no | — |
| 365 | C2×Dic6 | — | 10 | 1 | no | — |
| 366 | C2×Dic6 | C22×D5 | 1 | 1 | yes | characteristic |
| 367 | C3×Q16 | — | 5 | 4 | no | — |
| 368 | C2×C3×C8 | — | 5 | 1 | no | — |
| 369 | C2×C3×C8 | — | 5 | 1 | no | — |
| 370 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 371 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 372 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 373 | C3×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 374 | C3×C42 | — | 2 | 1 | no | — |
| 375 | C3×C42 | — | 10 | 1 | no | — |
| 376 | C3×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 377 | #216 | — | 5 | 4 | no | — |
| 378 | #216 | — | 5 | 4 | no | — |
| 379 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 380 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 381 | (C2×D3)⋊C4 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 382 | (C2×D3)⋊C4 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 383 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 384 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 385 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 386 | C4⋊Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 387 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 388 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 389 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 390 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 391 | Dic3⋊C4 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 392 | Dic3⋊C4 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 393 | C4×Dic3 | — | 2 | 1 | no | — |
| 394 | C4×Dic3 | — | 2 | 1 | no | — |
| 395 | C4×Dic3 | — | 2 | 1 | no | — |
| 396 | C4×Dic3 | — | 2 | 1 | no | — |
| 397 | C4×Dic3 | — | 10 | 1 | no | — |
| 398 | C4×Dic3 | — | 10 | 1 | no | — |
| 399 | C4×Dic3 | — | 10 | 1 | no | — |
| 400 | C4×Dic3 | — | 10 | 1 | no | — |
| 401 | C4×Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 402 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 403 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 404 | Dic12 | — | 5 | 4 | no | — |
| 405 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 406 | D3×C8 | — | 5 | 4 | no | — |
| 407 | C23×C5 | — | 3 | 1 | no | — |
| 408 | C5×Q8 | — | 2 | 1 | no | — |
| 409 | C5×Q8 | — | 3 | 2 | no | — |
| 410 | C5×Q8 | — | 6 | 4 | no | — |
| 411 | C5×Q8 | — | 6 | 1 | no | — |
| 412 | C5×Q8 | C2×C4×D3 | 1 | 2 | yes | — |
| 413 | C2×C4×C5 | — | 2 | 1 | no | — |
| 414 | C2×C4×C5 | — | 2 | 1 | no | — |
| 415 | C2×C4×C5 | — | 3 | 1 | no | — |
| 416 | C2×C4×C5 | — | 3 | 2 | no | — |
| 417 | C2×C4×C5 | — | 3 | 2 | no | — |
| 418 | C2×C4×C5 | — | 3 | 1 | no | — |
| 419 | C2×C4×C5 | — | 3 | 1 | no | — |
| 420 | C2×C4×C5 | — | 6 | 4 | no | — |
| 421 | C2×C4×C5 | — | 6 | 1 | no | — |
| 422 | C2×C4×C5 | — | 6 | 1 | no | — |
| 423 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 424 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 425 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 426 | C2×Dic5 | — | 2 | 1 | no | — |
| 427 | C2×Dic5 | — | 2 | 1 | no | — |
| 428 | C2×Dic5 | — | 6 | 4 | no | — |
| 429 | C2×Dic5 | — | 6 | 1 | no | — |
| 430 | C2×Dic5 | — | 6 | 1 | no | — |
| 431 | Dic10 | — | 2 | 1 | no | — |
| 432 | Dic10 | — | 3 | 2 | no | — |
| 433 | Dic10 | — | 6 | 4 | no | — |
| 434 | Dic10 | — | 6 | 1 | no | — |
| 435 | Dic10 | C2×C4×D3 | 1 | 2 | yes | — |
| 436 | #168 | — | 2 | 1 | no | — |
| 437 | #168 | — | 3 | 2 | no | — |
| 438 | #168 | — | 6 | 1 | no | — |
| 439 | #168 | C2×C4×D3 | 1 | 2 | yes | — |
| 440 | C22×Q8 | — | 3 | 1 | no | — |
| 441 | C22×Q8 | — | 15 | 1 | no | — |
| 442 | C2×Q16 | — | 5 | 1 | no | — |
| 443 | C2×Q16 | — | 15 | 1 | no | — |
| 444 | C2×Q16 | — | 15 | 8 | no | — |
| 445 | C2×Q16 | — | 15 | 1 | no | — |
| 446 | C2×Q16 | — | 15 | 1 | no | — |
| 447 | C2×M16 | — | 15 | 1 | no | — |
| 448 | C22×C8 | — | 15 | 1 | no | — |
| 449 | C4×Q8 | — | 3 | 1 | no | — |
| 450 | C4×Q8 | — | 3 | 1 | no | — |
| 451 | C4×Q8 | — | 3 | 1 | no | — |
| 452 | C4×Q8 | — | 5 | 1 | no | — |
| 453 | C4×Q8 | — | 6 | 1 | no | — |
| 454 | C4×Q8 | — | 6 | 1 | no | — |
| 455 | C4×Q8 | — | 15 | 1 | no | — |
| 456 | C4×Q8 | — | 15 | 1 | no | — |
| 457 | C4×Q8 | — | 15 | 1 | no | — |
| 458 | C4×Q8 | — | 30 | 1 | no | — |
| 459 | C4×Q8 | — | 30 | 1 | no | — |
| 460 | C4×Q8 | D3×D5 | 1 | 1 | yes | characteristic |
| 461 | #117 | — | 3 | 1 | no | — |
| 462 | #117 | — | 3 | 1 | no | — |
| 463 | #117 | — | 6 | 1 | no | — |
| 464 | #117 | — | 6 | 1 | no | — |
| 465 | #117 | — | 15 | 1 | no | — |
| 466 | #117 | — | 30 | 1 | no | — |
| 467 | #117 | — | 30 | 1 | no | — |
| 468 | #107 | — | 5 | 1 | no | — |
| 469 | #107 | — | 15 | 1 | no | — |
| 470 | #106 | — | 15 | 1 | no | — |
| 471 | #106 | — | 15 | 1 | no | — |
| 472 | #103 | — | 5 | 1 | no | — |
| 473 | #103 | — | 5 | 1 | no | — |
| 474 | #103 | — | 15 | 1 | no | — |
| 475 | #103 | — | 15 | 1 | no | — |
| 476 | #103 | — | 15 | 1 | no | — |
| 477 | #103 | — | 15 | 1 | no | — |
| 478 | #103 | — | 15 | 1 | no | — |
| 479 | #103 | — | 15 | 1 | no | — |
| 480 | #97 | — | 15 | 1 | no | — |
| 481 | #97 | — | 15 | 1 | no | — |
| 482 | C4×C8 | — | 5 | 1 | no | — |
| 483 | C4×C8 | — | 15 | 1 | no | — |
| 484 | C2×C3×C5 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 485 | C2×C3×C5 | #578 | 1 | 1 | yes | characteristic |
| 486 | C2×C3×C5 | #578 | 1 | 1 | yes | characteristic |
| 487 | C5×D3 | — | 2 | 2 | no | — |
| 488 | C22×D3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 489 | C3×Q8 | — | 2 | 1 | no | — |
| 490 | C3×Q8 | — | 5 | 2 | no | — |
| 491 | C3×Q8 | — | 10 | 1 | no | — |
| 492 | C3×Q8 | C2×C4×D5 | 1 | 2 | yes | — |
| 493 | C2×C3×C4 | — | 2 | 1 | no | — |
| 494 | C2×C3×C4 | — | 2 | 1 | no | — |
| 495 | C2×C3×C4 | — | 10 | 1 | no | — |
| 496 | C2×C3×C4 | — | 10 | 1 | no | — |
| 497 | C2×C3×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 498 | C2×C3×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 499 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 500 | C2×Dic3 | — | 2 | 1 | no | — |
| 501 | C2×Dic3 | — | 2 | 1 | no | — |
| 502 | C2×Dic3 | — | 10 | 1 | no | — |
| 503 | C2×Dic3 | — | 10 | 1 | no | — |
| 504 | C2×Dic3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 505 | C2×Dic3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 506 | C2×Dic3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 507 | C4×D3 | — | 2 | 4 | no | — |
| 508 | C4×D3 | — | 10 | 4 | no | — |
| 509 | C4×D3 | C2×C4×D5 | 1 | 2 | yes | — |
| 510 | C4×D3 | #709 | 1 | 2 | yes | — |
| 511 | Dic6 | — | 2 | 1 | no | — |
| 512 | Dic6 | — | 2 | 4 | no | — |
| 513 | Dic6 | — | 5 | 2 | no | — |
| 514 | Dic6 | — | 10 | 1 | no | — |
| 515 | Dic6 | — | 10 | 4 | no | — |
| 516 | Dic6 | C2×C4×D5 | 1 | 2 | yes | — |
| 517 | C3×C8 | — | 5 | 2 | no | — |
| 518 | C3×C8 | — | 10 | 1 | no | — |
| 519 | C3⋊C8 | — | 5 | 2 | no | — |
| 520 | C3⋊C8 | — | 10 | 1 | no | — |
| 521 | C22×C5 | — | 3 | 2 | no | — |
| 522 | C22×C5 | — | 6 | 1 | no | — |
| 523 | C22×C5 | — | 6 | 1 | no | — |
| 524 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 525 | C4×C5 | — | 2 | 1 | no | — |
| 526 | C4×C5 | — | 2 | 1 | no | — |
| 527 | C4×C5 | — | 2 | 2 | no | — |
| 528 | C4×C5 | — | 3 | 2 | no | — |
| 529 | C4×C5 | — | 4 | 1 | no | — |
| 530 | C4×C5 | — | 6 | 1 | no | — |
| 531 | C4×C5 | — | 6 | 1 | no | — |
| 532 | C4×C5 | — | 6 | 2 | no | — |
| 533 | C4×C5 | — | 12 | 1 | no | — |
| 534 | C4×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 535 | C4×C5 | D3×#41 | 1 | 1 | yes | characteristic |
| 536 | Dic5 | — | 2 | 2 | no | — |
| 537 | Dic5 | — | 4 | 1 | no | — |
| 538 | Dic5 | — | 6 | 2 | no | — |
| 539 | Dic5 | — | 12 | 1 | no | — |
| 540 | C2×Q8 | — | 3 | 4 | no | — |
| 541 | C2×Q8 | — | 3 | 1 | no | — |
| 542 | C2×Q8 | — | 5 | 1 | no | — |
| 543 | C2×Q8 | — | 6 | 1 | no | — |
| 544 | C2×Q8 | — | 6 | 2 | no | — |
| 545 | C2×Q8 | — | 15 | 4 | no | — |
| 546 | C2×Q8 | — | 15 | 1 | no | — |
| 547 | C2×Q8 | — | 30 | 1 | no | — |
| 548 | C2×Q8 | — | 30 | 2 | no | — |
| 549 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 550 | C22×C4 | — | 3 | 1 | no | — |
| 551 | C22×C4 | — | 6 | 1 | no | — |
| 552 | C22×C4 | — | 30 | 1 | no | — |
| 553 | Q16 | — | 5 | 4 | no | — |
| 554 | Q16 | — | 15 | 4 | no | — |
| 555 | Q16 | — | 15 | 4 | no | — |
| 556 | Q16 | — | 15 | 4 | no | — |
| 557 | M16 | — | 30 | 2 | no | — |
| 558 | C2×C8 | — | 5 | 1 | no | — |
| 559 | C2×C8 | — | 5 | 1 | no | — |
| 560 | C2×C8 | — | 15 | 4 | no | — |
| 561 | C2×C8 | — | 15 | 1 | no | — |
| 562 | C2×C8 | — | 15 | 1 | no | — |
| 563 | C4⋊C4 | — | 2 | 1 | no | — |
| 564 | C4⋊C4 | — | 3 | 1 | no | — |
| 565 | C4⋊C4 | — | 3 | 1 | no | — |
| 566 | C4⋊C4 | — | 3 | 1 | no | — |
| 567 | C4⋊C4 | — | 5 | 1 | no | — |
| 568 | C4⋊C4 | — | 6 | 1 | no | — |
| 569 | C4⋊C4 | — | 6 | 1 | no | — |
| 570 | C4⋊C4 | — | 6 | 1 | no | — |
| 571 | C4⋊C4 | — | 10 | 1 | no | — |
| 572 | C4⋊C4 | — | 15 | 1 | no | — |
| 573 | C4⋊C4 | — | 30 | 1 | no | — |
| 574 | C4⋊C4 | — | 30 | 1 | no | — |
| 575 | C4⋊C4 | — | 30 | 1 | no | — |
| 576 | C4⋊C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 577 | C22⋊C4 | — | 3 | 1 | no | — |
| 578 | C22⋊C4 | — | 3 | 1 | no | — |
| 579 | C22⋊C4 | — | 6 | 1 | no | — |
| 580 | C22⋊C4 | — | 30 | 1 | no | — |
| 581 | C42 | — | 2 | 1 | no | — |
| 582 | C42 | — | 3 | 1 | no | — |
| 583 | C42 | — | 6 | 1 | no | — |
| 584 | C42 | — | 6 | 1 | no | — |
| 585 | C42 | — | 6 | 1 | no | — |
| 586 | C42 | — | 6 | 1 | no | — |
| 587 | C42 | — | 10 | 1 | no | — |
| 588 | C42 | — | 30 | 1 | no | — |
| 589 | C42 | — | 30 | 1 | no | — |
| 590 | C42 | — | 30 | 1 | no | — |
| 591 | C42 | — | 30 | 1 | no | — |
| 592 | C42 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 593 | C3×C5 | #2950 | 1 | 1 | yes | characteristic, complemented, Hall |
| 594 | C22×C3 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 595 | C2×D3 | — | 2 | 1 | no | — |
| 596 | C2×D3 | — | 2 | 1 | no | — |
| 597 | C2×D3 | C4×C22⋊D5 | 1 | 2 | yes | — |
| 598 | C3×C4 | — | 2 | 2 | no | — |
| 599 | C3×C4 | — | 2 | 1 | no | — |
| 600 | C3×C4 | — | 2 | 1 | no | — |
| 601 | C3×C4 | — | 4 | 1 | no | — |
| 602 | C3×C4 | — | 10 | 2 | no | — |
| 603 | C3×C4 | — | 20 | 1 | no | — |
| 604 | C3×C4 | C22×C4×D5 | 1 | 1 | yes | characteristic |
| 605 | C3×C4 | C2×#709 | 1 | 1 | yes | characteristic |
| 606 | Dic3 | — | 2 | 2 | no | — |
| 607 | Dic3 | — | 2 | 1 | no | — |
| 608 | Dic3 | — | 2 | 1 | no | — |
| 609 | Dic3 | — | 4 | 1 | no | — |
| 610 | Dic3 | — | 10 | 2 | no | — |
| 611 | Dic3 | — | 20 | 1 | no | — |
| 612 | Dic3 | C4×C22⋊D5 | 1 | 2 | yes | — |
| 613 | C2×C5 | — | 6 | 2 | no | — |
| 614 | C2×C5 | C4×D3×D4 | 1 | 1 | yes | characteristic |
| 615 | C2×C5 | #5766 | 1 | 1 | yes | characteristic |
| 616 | C2×C5 | #5771 | 1 | 1 | yes | characteristic |
| 617 | C23 | — | 3 | 1 | no | — |
| 618 | Q8 | — | 2 | 1 | no | — |
| 619 | Q8 | — | 3 | 2 | no | — |
| 620 | Q8 | — | 5 | 2 | no | — |
| 621 | Q8 | — | 6 | 4 | no | — |
| 622 | Q8 | — | 6 | 1 | no | — |
| 623 | Q8 | — | 10 | 1 | no | — |
| 624 | Q8 | — | 15 | 2 | no | — |
| 625 | Q8 | — | 30 | 4 | no | — |
| 626 | Q8 | — | 30 | 1 | no | — |
| 627 | Q8 | C4×D3×D5 | 1 | 2 | yes | — |
| 628 | C2×C4 | — | 2 | 1 | no | — |
| 629 | C2×C4 | — | 2 | 1 | no | — |
| 630 | C2×C4 | — | 3 | 1 | no | — |
| 631 | C2×C4 | — | 3 | 2 | no | — |
| 632 | C2×C4 | — | 3 | 2 | no | — |
| 633 | C2×C4 | — | 3 | 1 | no | — |
| 634 | C2×C4 | — | 3 | 1 | no | — |
| 635 | C2×C4 | — | 6 | 4 | no | — |
| 636 | C2×C4 | — | 6 | 1 | no | — |
| 637 | C2×C4 | — | 6 | 1 | no | — |
| 638 | C2×C4 | — | 10 | 1 | no | — |
| 639 | C2×C4 | — | 10 | 1 | no | — |
| 640 | C2×C4 | — | 30 | 4 | no | — |
| 641 | C2×C4 | — | 30 | 1 | no | — |
| 642 | C2×C4 | — | 30 | 1 | no | — |
| 643 | C2×C4 | D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 644 | C2×C4 | D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 645 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 646 | C8 | — | 5 | 2 | no | — |
| 647 | C8 | — | 10 | 1 | no | — |
| 648 | C8 | — | 15 | 2 | no | — |
| 649 | C8 | — | 30 | 1 | no | — |
| 650 | C2×C3 | C2×C4×C22⋊D5 | 1 | 1 | yes | characteristic |
| 651 | C2×C3 | #66172 | 1 | 1 | yes | characteristic |
| 652 | C2×C3 | #66172 | 1 | 1 | yes | characteristic |
| 653 | D3 | — | 2 | 2 | no | — |
| 654 | C5 | #79720 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 655 | C22 | — | 3 | 2 | no | — |
| 656 | C22 | — | 6 | 1 | no | — |
| 657 | C22 | — | 6 | 1 | no | — |
| 658 | C22 | C2×D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 659 | C4 | — | 2 | 1 | no | — |
| 660 | C4 | — | 2 | 1 | no | — |
| 661 | C4 | — | 2 | 2 | no | — |
| 662 | C4 | — | 3 | 2 | no | — |
| 663 | C4 | — | 4 | 1 | no | — |
| 664 | C4 | — | 6 | 1 | no | — |
| 665 | C4 | — | 6 | 1 | no | — |
| 666 | C4 | — | 6 | 2 | no | — |
| 667 | C4 | — | 10 | 2 | no | — |
| 668 | C4 | — | 12 | 1 | no | — |
| 669 | C4 | — | 20 | 1 | no | — |
| 670 | C4 | — | 30 | 2 | no | — |
| 671 | C4 | — | 60 | 1 | no | — |
| 672 | C4 | C2×C4×D3×D5 | 1 | 1 | yes | characteristic |
| 673 | C4 | D3×#709 | 1 | 1 | yes | characteristic |
| 674 | C3 | #10614280 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 675 | C2 | — | 6 | 2 | no | — |
| 676 | C2 | C4×D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 677 | C2 | #11755105 | 1 | 1 | yes | characteristic |
| 678 | C2 | #11755346 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta