| 1 | #11756448 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11756304 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×C5×#478 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11751167 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751108 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11750991 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11750982 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11750972 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11750961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11750943 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11750940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11750871 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | D15×#102 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #11750864 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11750862 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10612899 | — | 3 | 1 | no | maximal, Hall |
| 17 | C2×D4×D15 | C22 | 1 | 1 | yes | characteristic |
| 18 | C3×C5×#125 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C3×C4×C5×D4 | C22 | 1 | 1 | yes | characteristic |
| 20 | D4×Dic15 | C22 | 1 | 1 | yes | characteristic |
| 21 | C4×#1220 | — | 2 | 1 | no | — |
| 22 | C2×#6714 | — | 2 | 1 | no | — |
| 23 | C2×#6705 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C8×D15 | C22 | 1 | 1 | yes | characteristic |
| 25 | #91786 | — | 2 | 1 | no | — |
| 26 | #91785 | — | 2 | 1 | no | — |
| 27 | #91782 | C22 | 1 | 1 | yes | characteristic |
| 28 | #91781 | C22 | 1 | 1 | yes | characteristic |
| 29 | #91781 | C22 | 1 | 1 | yes | characteristic |
| 30 | C4⋊C4×D15 | C22 | 1 | 1 | yes | characteristic |
| 31 | #91779 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #91778 | — | 2 | 1 | no | — |
| 33 | #91777 | — | 2 | 1 | no | — |
| 34 | #91777 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #91770 | — | 2 | 1 | no | — |
| 36 | C22⋊C4×D15 | — | 2 | 1 | no | — |
| 37 | C4×D60 | C22 | 1 | 1 | yes | characteristic |
| 38 | #91761 | C22 | 1 | 1 | yes | characteristic |
| 39 | #91758 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C3×C5×#107 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C3×C5×#106 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C3×C5×C4⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C3×C5×#102 | C22 | 1 | 1 | yes | characteristic |
| 44 | C3×C5×#102 | C22 | 1 | 1 | yes | characteristic |
| 45 | #91116 | C22 | 1 | 1 | yes | characteristic |
| 46 | #91116 | C22 | 1 | 1 | yes | characteristic |
| 47 | #91105 | C22 | 1 | 1 | yes | characteristic |
| 48 | #91105 | C22 | 1 | 1 | yes | characteristic |
| 49 | #91101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #91101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #91098 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #91098 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #91093 | C22 | 1 | 1 | yes | characteristic |
| 54 | #91093 | C22 | 1 | 1 | yes | characteristic |
| 55 | #91092 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #91091 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #91091 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #91091 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C4⋊(C3⋊#168) | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #81168 | — | 5 | 1 | no | maximal, Hall |
| 61 | #66023 | — | 3 | 1 | no | — |
| 62 | #65879 | — | 3 | 1 | no | — |
| 63 | C5×#478 | D3 | 1 | 1 | yes | characteristic, complemented |
| 64 | #65355 | — | 3 | 1 | no | — |
| 65 | #65296 | — | 3 | 1 | no | — |
| 66 | #65179 | — | 3 | 1 | no | — |
| 67 | #65170 | — | 3 | 1 | no | — |
| 68 | #65160 | — | 3 | 1 | no | — |
| 69 | #65149 | — | 3 | 1 | no | — |
| 70 | #65131 | — | 3 | 1 | no | — |
| 71 | #65128 | — | 3 | 1 | no | — |
| 72 | #65059 | — | 3 | 1 | no | — |
| 73 | D5×#102 | — | 3 | 1 | no | — |
| 74 | #65052 | — | 3 | 1 | no | — |
| 75 | #65050 | — | 3 | 1 | no | — |
| 76 | C23×D15 | — | 2 | 1 | no | — |
| 77 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×C3×C4×C5 | — | 2 | 1 | no | — |
| 79 | C2×#1220 | — | 2 | 1 | no | — |
| 80 | C22×Dic15 | — | 2 | 1 | no | — |
| 81 | D4×D15 | — | 2 | 2 | no | — |
| 82 | D4×D15 | Q8 | 1 | 4 | yes | complemented |
| 83 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×C4×D15 | — | 2 | 1 | no | — |
| 85 | C2×C4×D15 | — | 2 | 1 | no | — |
| 86 | C2×C4×D15 | — | 2 | 1 | no | — |
| 87 | C2×C4×D15 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×Dic30 | — | 2 | 1 | no | — |
| 89 | C2×Dic30 | — | 2 | 1 | no | — |
| 90 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 92 | C3×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 93 | C3×C5×C4⋊C4 | — | 2 | 1 | no | — |
| 94 | C3×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 95 | C3×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 96 | C3×C5×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 97 | C3×C5×C22⋊C4 | — | 2 | 1 | no | — |
| 98 | C3×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 99 | #6719 | — | 2 | 1 | no | — |
| 100 | #6714 | — | 2 | 1 | no | — |
| 101 | #6714 | — | 2 | 1 | no | — |
| 102 | #6714 | — | 2 | 1 | no | — |
| 103 | #6714 | — | 2 | 1 | no | — |
| 104 | #6714 | D4 | 1 | 1 | yes | characteristic |
| 105 | #6714 | D4 | 1 | 1 | yes | characteristic |
| 106 | C4⋊Dic15 | — | 2 | 1 | no | — |
| 107 | C4⋊Dic15 | — | 2 | 1 | no | — |
| 108 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 109 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 110 | C4⋊Dic15 | C23 | 1 | 1 | yes | characteristic |
| 111 | #6712 | — | 2 | 1 | no | — |
| 112 | #6712 | — | 2 | 1 | no | — |
| 113 | #6712 | — | 2 | 1 | no | — |
| 114 | #6712 | D4 | 1 | 1 | yes | characteristic |
| 115 | #6712 | D4 | 1 | 1 | yes | characteristic |
| 116 | C4×Dic15 | — | 2 | 1 | no | — |
| 117 | C4×Dic15 | — | 2 | 1 | no | — |
| 118 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 120 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 121 | #6705 | — | 2 | 2 | no | — |
| 122 | C8×D15 | — | 2 | 2 | no | — |
| 123 | #5689 | — | 5 | 1 | no | — |
| 124 | #5545 | — | 5 | 1 | no | — |
| 125 | C3×#478 | D5 | 1 | 1 | yes | characteristic, complemented |
| 126 | #5066 | — | 5 | 1 | no | — |
| 127 | #5007 | — | 5 | 1 | no | — |
| 128 | #4890 | — | 5 | 1 | no | — |
| 129 | #4881 | — | 5 | 1 | no | — |
| 130 | #4871 | — | 5 | 1 | no | — |
| 131 | #4860 | — | 5 | 1 | no | — |
| 132 | #4842 | — | 5 | 1 | no | — |
| 133 | #4839 | — | 5 | 1 | no | — |
| 134 | #4770 | — | 5 | 1 | no | — |
| 135 | D3×#102 | — | 5 | 1 | no | — |
| 136 | #4763 | — | 5 | 1 | no | — |
| 137 | #4761 | — | 5 | 1 | no | — |
| 138 | C2×D4×D5 | — | 3 | 1 | no | — |
| 139 | C5×#125 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 140 | C4×C5×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 141 | D4×Dic5 | — | 3 | 1 | no | — |
| 142 | C4×C22⋊D5 | — | 6 | 1 | no | — |
| 143 | C2×#685 | — | 6 | 1 | no | — |
| 144 | C2×#676 | — | 3 | 1 | no | — |
| 145 | C2×C8×D5 | — | 3 | 1 | no | — |
| 146 | #4043 | — | 6 | 1 | no | — |
| 147 | #4042 | — | 6 | 1 | no | — |
| 148 | #4039 | — | 3 | 1 | no | — |
| 149 | #4038 | — | 3 | 1 | no | — |
| 150 | #4038 | — | 3 | 1 | no | — |
| 151 | D5×C4⋊C4 | — | 3 | 1 | no | — |
| 152 | #4036 | — | 3 | 1 | no | — |
| 153 | #4035 | — | 6 | 1 | no | — |
| 154 | #4034 | — | 3 | 1 | no | — |
| 155 | #4034 | — | 6 | 1 | no | — |
| 156 | #4027 | — | 6 | 1 | no | — |
| 157 | D5×C22⋊C4 | — | 6 | 1 | no | — |
| 158 | C4×D20 | — | 3 | 1 | no | — |
| 159 | #4018 | — | 3 | 1 | no | — |
| 160 | #4015 | — | 3 | 1 | no | — |
| 161 | C5×#107 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 162 | C5×#106 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 163 | C5×C4⋊C8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 164 | C5×#102 | C2×D3 | 1 | 1 | yes | characteristic |
| 165 | C5×#102 | C2×D3 | 1 | 1 | yes | characteristic |
| 166 | #3964 | — | 3 | 1 | no | — |
| 167 | #3964 | — | 3 | 1 | no | — |
| 168 | #3953 | — | 3 | 1 | no | — |
| 169 | #3953 | — | 3 | 1 | no | — |
| 170 | #3949 | — | 3 | 1 | no | — |
| 171 | #3949 | — | 3 | 1 | no | — |
| 172 | #3946 | — | 3 | 1 | no | — |
| 173 | #3946 | — | 3 | 1 | no | — |
| 174 | #3941 | — | 3 | 1 | no | — |
| 175 | #3941 | — | 3 | 1 | no | — |
| 176 | #3940 | — | 3 | 1 | no | — |
| 177 | #3939 | — | 3 | 1 | no | — |
| 178 | #3939 | — | 3 | 1 | no | — |
| 179 | #3939 | — | 3 | 1 | no | — |
| 180 | C4⋊#168 | — | 3 | 1 | no | — |
| 181 | #3081 | — | 15 | 1 | no | Sylow |
| 182 | C23×C3×C5 | — | 2 | 1 | no | — |
| 183 | C22×D15 | — | 2 | 1 | no | — |
| 184 | C22×D15 | — | 2 | 4 | no | — |
| 185 | C22×D15 | — | 8 | 1 | no | — |
| 186 | C22×D15 | — | 8 | 1 | no | — |
| 187 | C22×D15 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | C3×C5×D4 | — | 2 | 1 | no | — |
| 189 | C3×C5×D4 | C2×Q8 | 1 | 2 | yes | — |
| 190 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 191 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 192 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 193 | C2×C3×C4×C5 | — | 8 | 1 | no | — |
| 194 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C2×C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 197 | #1220 | — | 2 | 4 | no | — |
| 198 | C2×Dic15 | — | 2 | 1 | no | — |
| 199 | C2×Dic15 | — | 2 | 1 | no | — |
| 200 | C2×Dic15 | — | 2 | 1 | no | — |
| 201 | C2×Dic15 | — | 8 | 1 | no | — |
| 202 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | D60 | — | 2 | 1 | no | — |
| 206 | D60 | C2×Q8 | 1 | 2 | yes | — |
| 207 | C4×D15 | — | 8 | 1 | no | — |
| 208 | C4×D15 | — | 8 | 1 | no | — |
| 209 | C4×D15 | — | 8 | 1 | no | — |
| 210 | C4×D15 | C2×Q8 | 1 | 2 | yes | — |
| 211 | C4×D15 | #41 | 1 | 2 | yes | — |
| 212 | Dic30 | — | 8 | 1 | no | — |
| 213 | Dic30 | — | 8 | 1 | no | — |
| 214 | C3×C5×C8 | — | 2 | 1 | no | — |
| 215 | C3×C5×C8 | — | 2 | 1 | no | — |
| 216 | C3⋊#168 | — | 2 | 1 | no | — |
| 217 | C3⋊#168 | — | 2 | 1 | no | — |
| 218 | C2×D3×D4 | — | 5 | 1 | no | — |
| 219 | C3×#125 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 220 | C3×C4×D4 | C2×D5 | 1 | 1 | yes | characteristic |
| 221 | D4×Dic3 | — | 5 | 1 | no | — |
| 222 | C4×#67 | — | 10 | 1 | no | — |
| 223 | C2×(C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 224 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 225 | C2×D3×C8 | — | 5 | 1 | no | — |
| 226 | #897 | — | 10 | 1 | no | — |
| 227 | #896 | — | 10 | 1 | no | — |
| 228 | #893 | — | 5 | 1 | no | — |
| 229 | #892 | — | 5 | 1 | no | — |
| 230 | #892 | — | 5 | 1 | no | — |
| 231 | D3×C4⋊C4 | — | 5 | 1 | no | — |
| 232 | #890 | — | 5 | 1 | no | — |
| 233 | #889 | — | 10 | 1 | no | — |
| 234 | #888 | — | 5 | 1 | no | — |
| 235 | #888 | — | 10 | 1 | no | — |
| 236 | #67⋊C4 | — | 10 | 1 | no | — |
| 237 | D3×C22⋊C4 | — | 10 | 1 | no | — |
| 238 | C4×D12 | — | 5 | 1 | no | — |
| 239 | #872 | — | 5 | 1 | no | — |
| 240 | #869 | — | 5 | 1 | no | — |
| 241 | C3×#107 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 242 | C3×#106 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 243 | C3×C4⋊C8 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 244 | C3×#102 | C2×D5 | 1 | 1 | yes | characteristic |
| 245 | C3×#102 | C2×D5 | 1 | 1 | yes | characteristic |
| 246 | #832 | — | 5 | 1 | no | — |
| 247 | #832 | — | 5 | 1 | no | — |
| 248 | #821 | — | 5 | 1 | no | — |
| 249 | #821 | — | 5 | 1 | no | — |
| 250 | #817 | — | 5 | 1 | no | — |
| 251 | #817 | — | 5 | 1 | no | — |
| 252 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 253 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 254 | #809 | — | 5 | 1 | no | — |
| 255 | #809 | — | 5 | 1 | no | — |
| 256 | #808 | — | 5 | 1 | no | — |
| 257 | #807 | — | 5 | 1 | no | — |
| 258 | #807 | — | 5 | 1 | no | — |
| 259 | #807 | — | 5 | 1 | no | — |
| 260 | C4⋊(C3⋊C8) | — | 5 | 1 | no | — |
| 261 | C23×D5 | — | 6 | 1 | no | — |
| 262 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 263 | C22×C4×C5 | — | 2 | 1 | no | — |
| 264 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 265 | C22×Dic5 | — | 6 | 1 | no | — |
| 266 | D4×D5 | — | 3 | 4 | no | — |
| 267 | D4×D5 | — | 6 | 2 | no | — |
| 268 | C2×D20 | — | 3 | 1 | no | — |
| 269 | C2×C4×D5 | — | 3 | 1 | no | — |
| 270 | C2×C4×D5 | — | 6 | 1 | no | — |
| 271 | C2×C4×D5 | — | 6 | 1 | no | — |
| 272 | C2×C4×D5 | — | 6 | 1 | no | — |
| 273 | C2×Dic10 | — | 6 | 1 | no | — |
| 274 | C2×Dic10 | — | 6 | 1 | no | — |
| 275 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 276 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 277 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 278 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 279 | C5×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 280 | C5×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 281 | C5×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 282 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 283 | C42×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 284 | C22⋊Dic5 | — | 6 | 1 | no | — |
| 285 | #685 | — | 3 | 1 | no | — |
| 286 | #685 | — | 3 | 1 | no | — |
| 287 | #685 | — | 6 | 1 | no | — |
| 288 | #685 | — | 6 | 1 | no | — |
| 289 | #685 | — | 6 | 1 | no | — |
| 290 | #685 | — | 6 | 1 | no | — |
| 291 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 292 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 293 | C4⋊Dic5 | — | 3 | 1 | no | — |
| 294 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 295 | C4⋊Dic5 | — | 6 | 1 | no | — |
| 296 | #683 | — | 3 | 1 | no | — |
| 297 | #683 | — | 3 | 1 | no | — |
| 298 | #683 | — | 6 | 1 | no | — |
| 299 | #683 | — | 6 | 1 | no | — |
| 300 | #683 | — | 6 | 1 | no | — |
| 301 | C4×Dic5 | — | 3 | 1 | no | — |
| 302 | C4×Dic5 | — | 6 | 1 | no | — |
| 303 | C4×Dic5 | — | 6 | 1 | no | — |
| 304 | C2×#168 | — | 3 | 1 | no | — |
| 305 | C2×#168 | — | 3 | 1 | no | — |
| 306 | #676 | — | 6 | 2 | no | — |
| 307 | C8×D5 | — | 6 | 2 | no | — |
| 308 | #544 | — | 15 | 1 | no | — |
| 309 | #518 | — | 15 | 1 | no | — |
| 310 | #478 | — | 15 | 1 | no | — |
| 311 | #478 | — | 15 | 1 | no | — |
| 312 | #478 | — | 15 | 1 | no | — |
| 313 | #478 | D15 | 1 | 1 | yes | characteristic, complemented |
| 314 | #476 | — | 15 | 1 | no | — |
| 315 | #476 | — | 15 | 1 | no | — |
| 316 | #474 | — | 15 | 1 | no | — |
| 317 | #474 | — | 15 | 1 | no | — |
| 318 | #428 | — | 15 | 1 | no | — |
| 319 | #427 | — | 15 | 1 | no | — |
| 320 | #424 | — | 15 | 1 | no | — |
| 321 | #418 | — | 15 | 1 | no | — |
| 322 | C2×#102 | — | 15 | 1 | no | — |
| 323 | C22×C3×C5 | — | 2 | 2 | no | — |
| 324 | C22×C3×C5 | — | 4 | 1 | no | — |
| 325 | C22×C3×C5 | — | 4 | 1 | no | — |
| 326 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 327 | C2×D15 | — | 2 | 1 | no | — |
| 328 | C2×D15 | — | 2 | 1 | no | — |
| 329 | C2×D15 | — | 2 | 2 | no | — |
| 330 | C2×D15 | — | 4 | 1 | no | — |
| 331 | C2×D15 | — | 4 | 1 | no | — |
| 332 | C2×D15 | — | 8 | 4 | no | — |
| 333 | C2×D15 | C22⋊Q8 | 1 | 2 | yes | — |
| 334 | C3×C4×C5 | — | 2 | 1 | no | — |
| 335 | C3×C4×C5 | — | 2 | 1 | no | — |
| 336 | C3×C4×C5 | — | 4 | 1 | no | — |
| 337 | C3×C4×C5 | — | 4 | 1 | no | — |
| 338 | C3×C4×C5 | — | 4 | 1 | no | — |
| 339 | C3×C4×C5 | C22×Q8 | 1 | 1 | yes | characteristic |
| 340 | C3×C4×C5 | C2×#41 | 1 | 1 | yes | characteristic |
| 341 | Dic15 | — | 2 | 1 | no | — |
| 342 | Dic15 | — | 2 | 1 | no | — |
| 343 | Dic15 | — | 4 | 1 | no | — |
| 344 | Dic15 | — | 4 | 1 | no | — |
| 345 | Dic15 | — | 4 | 1 | no | — |
| 346 | Dic15 | C22⋊Q8 | 1 | 2 | yes | — |
| 347 | C23×D3 | — | 10 | 1 | no | — |
| 348 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 349 | C22×C3×C4 | — | 2 | 1 | no | — |
| 350 | C2×#67 | — | 10 | 1 | no | — |
| 351 | C22×Dic3 | — | 10 | 1 | no | — |
| 352 | D3×D4 | — | 5 | 4 | no | — |
| 353 | D3×D4 | — | 10 | 2 | no | — |
| 354 | C2×D12 | — | 5 | 1 | no | — |
| 355 | C2×C4×D3 | — | 5 | 1 | no | — |
| 356 | C2×C4×D3 | — | 10 | 1 | no | — |
| 357 | C2×C4×D3 | — | 10 | 1 | no | — |
| 358 | C2×C4×D3 | — | 10 | 1 | no | — |
| 359 | C2×Dic6 | — | 10 | 1 | no | — |
| 360 | C2×Dic6 | — | 10 | 1 | no | — |
| 361 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 362 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 363 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 364 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 365 | C3×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 366 | C3×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 367 | C3×C4⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 368 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 369 | C3×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 370 | #217 | — | 10 | 1 | no | — |
| 371 | (C2×D3)⋊C4 | — | 5 | 1 | no | — |
| 372 | (C2×D3)⋊C4 | — | 5 | 1 | no | — |
| 373 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 374 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 375 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 376 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 377 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 378 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 379 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 380 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 381 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 382 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 383 | Dic3⋊C4 | — | 5 | 1 | no | — |
| 384 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 385 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 386 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 387 | C4×Dic3 | — | 5 | 1 | no | — |
| 388 | C4×Dic3 | — | 10 | 1 | no | — |
| 389 | C4×Dic3 | — | 10 | 1 | no | — |
| 390 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 391 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 392 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 393 | D3×C8 | — | 10 | 2 | no | — |
| 394 | C23×C5 | — | 2 | 1 | no | — |
| 395 | C22×D5 | — | 3 | 1 | no | — |
| 396 | C22×D5 | — | 6 | 4 | no | — |
| 397 | C22×D5 | — | 6 | 1 | no | — |
| 398 | C22×D5 | — | 24 | 1 | no | — |
| 399 | C22×D5 | — | 24 | 1 | no | — |
| 400 | C5×D4 | — | 2 | 1 | no | — |
| 401 | C5×D4 | D3×Q8 | 1 | 2 | yes | — |
| 402 | C2×C4×C5 | — | 2 | 1 | no | — |
| 403 | C2×C4×C5 | — | 2 | 1 | no | — |
| 404 | C2×C4×C5 | — | 2 | 1 | no | — |
| 405 | C2×C4×C5 | — | 8 | 1 | no | — |
| 406 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 407 | C2×C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 408 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 409 | C22⋊D5 | — | 6 | 4 | no | — |
| 410 | C2×Dic5 | — | 3 | 1 | no | — |
| 411 | C2×Dic5 | — | 3 | 1 | no | — |
| 412 | C2×Dic5 | — | 3 | 1 | no | — |
| 413 | C2×Dic5 | — | 6 | 1 | no | — |
| 414 | C2×Dic5 | — | 6 | 1 | no | — |
| 415 | C2×Dic5 | — | 6 | 1 | no | — |
| 416 | C2×Dic5 | — | 24 | 1 | no | — |
| 417 | D20 | — | 3 | 2 | no | — |
| 418 | D20 | — | 6 | 1 | no | — |
| 419 | C4×D5 | — | 3 | 2 | no | — |
| 420 | C4×D5 | — | 3 | 2 | no | — |
| 421 | C4×D5 | — | 24 | 1 | no | — |
| 422 | C4×D5 | — | 24 | 1 | no | — |
| 423 | C4×D5 | — | 24 | 1 | no | — |
| 424 | Dic10 | — | 24 | 1 | no | — |
| 425 | Dic10 | — | 24 | 1 | no | — |
| 426 | C5×C8 | — | 2 | 1 | no | — |
| 427 | C5×C8 | — | 2 | 1 | no | — |
| 428 | #168 | — | 6 | 1 | no | — |
| 429 | #168 | — | 6 | 1 | no | — |
| 430 | C22×D4 | — | 15 | 1 | no | — |
| 431 | C2×M16 | — | 15 | 1 | no | — |
| 432 | C22×C8 | — | 15 | 1 | no | — |
| 433 | C4⋊Q8 | — | 15 | 1 | no | — |
| 434 | C4⋊Q8 | — | 15 | 1 | no | — |
| 435 | C4⋊Q8 | — | 30 | 1 | no | — |
| 436 | #125 | — | 15 | 1 | no | — |
| 437 | #125 | — | 30 | 1 | no | — |
| 438 | #125 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 439 | C22⋊Q8 | — | 30 | 1 | no | — |
| 440 | C22⋊Q8 | — | 30 | 1 | no | — |
| 441 | C4×D4 | — | 15 | 1 | no | — |
| 442 | C4×D4 | — | 15 | 1 | no | — |
| 443 | C4×D4 | — | 15 | 1 | no | — |
| 444 | C4×D4 | — | 30 | 1 | no | — |
| 445 | C4×D4 | — | 30 | 1 | no | — |
| 446 | C4×D4 | C2×D15 | 1 | 1 | yes | characteristic |
| 447 | #117 | — | 15 | 1 | no | — |
| 448 | #117 | — | 15 | 1 | no | — |
| 449 | #117 | — | 15 | 1 | no | — |
| 450 | C2×C4⋊C4 | — | 15 | 1 | no | — |
| 451 | C2×C22⋊C4 | — | 30 | 1 | no | — |
| 452 | C2×C22⋊C4 | — | 30 | 1 | no | — |
| 453 | #107 | — | 15 | 1 | no | — |
| 454 | #107 | — | 15 | 1 | no | — |
| 455 | #107 | — | 15 | 1 | no | — |
| 456 | #107 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 457 | #106 | — | 15 | 1 | no | — |
| 458 | #106 | — | 15 | 1 | no | — |
| 459 | #106 | — | 15 | 1 | no | — |
| 460 | #106 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 461 | C4⋊C8 | — | 15 | 1 | no | — |
| 462 | C4⋊C8 | — | 15 | 1 | no | — |
| 463 | C4⋊C8 | — | 15 | 1 | no | — |
| 464 | C4⋊C8 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 465 | #102 | — | 15 | 1 | no | — |
| 466 | #102 | — | 15 | 1 | no | — |
| 467 | #102 | — | 15 | 1 | no | — |
| 468 | #102 | — | 15 | 1 | no | — |
| 469 | #102 | — | 15 | 1 | no | — |
| 470 | #102 | — | 15 | 1 | no | — |
| 471 | #102 | C2×D15 | 1 | 1 | yes | characteristic |
| 472 | #102 | C2×D15 | 1 | 1 | yes | characteristic |
| 473 | C2×C3×C5 | — | 4 | 2 | no | — |
| 474 | C2×C3×C5 | C2×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 475 | C2×C3×C5 | #576 | 1 | 1 | yes | characteristic |
| 476 | C2×C3×C5 | #577 | 1 | 1 | yes | characteristic |
| 477 | D15 | — | 2 | 2 | no | — |
| 478 | D15 | — | 4 | 2 | no | — |
| 479 | C23×C3 | — | 2 | 1 | no | — |
| 480 | C22×D3 | — | 5 | 1 | no | — |
| 481 | C22×D3 | — | 10 | 4 | no | — |
| 482 | C22×D3 | — | 10 | 1 | no | — |
| 483 | C22×D3 | — | 40 | 1 | no | — |
| 484 | C22×D3 | — | 40 | 1 | no | — |
| 485 | C3×D4 | — | 2 | 1 | no | — |
| 486 | C3×D4 | Q8×D5 | 1 | 2 | yes | — |
| 487 | C2×C3×C4 | — | 2 | 1 | no | — |
| 488 | C2×C3×C4 | — | 2 | 1 | no | — |
| 489 | C2×C3×C4 | — | 2 | 1 | no | — |
| 490 | C2×C3×C4 | — | 8 | 1 | no | — |
| 491 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 492 | C2×C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 493 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 494 | #67 | — | 10 | 4 | no | — |
| 495 | C2×Dic3 | — | 5 | 1 | no | — |
| 496 | C2×Dic3 | — | 5 | 1 | no | — |
| 497 | C2×Dic3 | — | 5 | 1 | no | — |
| 498 | C2×Dic3 | — | 10 | 1 | no | — |
| 499 | C2×Dic3 | — | 10 | 1 | no | — |
| 500 | C2×Dic3 | — | 10 | 1 | no | — |
| 501 | C2×Dic3 | — | 40 | 1 | no | — |
| 502 | D12 | — | 5 | 2 | no | — |
| 503 | D12 | — | 10 | 1 | no | — |
| 504 | C4×D3 | — | 5 | 2 | no | — |
| 505 | C4×D3 | — | 5 | 2 | no | — |
| 506 | C4×D3 | — | 40 | 1 | no | — |
| 507 | C4×D3 | — | 40 | 1 | no | — |
| 508 | C4×D3 | — | 40 | 1 | no | — |
| 509 | Dic6 | — | 40 | 1 | no | — |
| 510 | Dic6 | — | 40 | 1 | no | — |
| 511 | C3×C8 | — | 2 | 1 | no | — |
| 512 | C3×C8 | — | 2 | 1 | no | — |
| 513 | C3⋊C8 | — | 10 | 1 | no | — |
| 514 | C3⋊C8 | — | 10 | 1 | no | — |
| 515 | C22×C5 | — | 2 | 2 | no | — |
| 516 | C22×C5 | — | 4 | 1 | no | — |
| 517 | C22×C5 | — | 4 | 1 | no | — |
| 518 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 519 | C2×D5 | — | 3 | 2 | no | — |
| 520 | C2×D5 | — | 6 | 1 | no | — |
| 521 | C2×D5 | — | 6 | 1 | no | — |
| 522 | C2×D5 | — | 6 | 2 | no | — |
| 523 | C2×D5 | — | 12 | 1 | no | — |
| 524 | C2×D5 | — | 12 | 1 | no | — |
| 525 | C2×D5 | — | 24 | 4 | no | — |
| 526 | C4×C5 | — | 2 | 1 | no | — |
| 527 | C4×C5 | — | 2 | 1 | no | — |
| 528 | C4×C5 | — | 4 | 1 | no | — |
| 529 | C4×C5 | — | 4 | 1 | no | — |
| 530 | C4×C5 | — | 4 | 1 | no | — |
| 531 | C4×C5 | C2×D3×Q8 | 1 | 1 | yes | characteristic |
| 532 | C4×C5 | D3×#41 | 1 | 1 | yes | characteristic |
| 533 | Dic5 | — | 3 | 2 | no | — |
| 534 | Dic5 | — | 6 | 1 | no | — |
| 535 | Dic5 | — | 6 | 1 | no | — |
| 536 | Dic5 | — | 12 | 1 | no | — |
| 537 | Dic5 | — | 12 | 1 | no | — |
| 538 | Dic5 | — | 12 | 1 | no | — |
| 539 | C24 | — | 30 | 1 | no | — |
| 540 | C2×Q8 | — | 30 | 1 | no | — |
| 541 | C2×Q8 | — | 30 | 1 | no | — |
| 542 | C2×D4 | — | 15 | 4 | no | — |
| 543 | C2×D4 | — | 15 | 1 | no | — |
| 544 | C2×D4 | — | 30 | 2 | no | — |
| 545 | C2×D4 | — | 30 | 1 | no | — |
| 546 | C2×D4 | C22×D15 | 1 | 1 | yes | characteristic |
| 547 | C22×C4 | — | 2 | 1 | no | — |
| 548 | C22×C4 | — | 15 | 1 | no | — |
| 549 | C22×C4 | — | 30 | 1 | no | — |
| 550 | C22×C4 | — | 30 | 1 | no | — |
| 551 | C22×C4 | — | 30 | 1 | no | — |
| 552 | C22×C4 | — | 30 | 1 | no | — |
| 553 | M16 | — | 30 | 2 | no | — |
| 554 | C2×C8 | — | 15 | 1 | no | — |
| 555 | C2×C8 | — | 15 | 1 | no | — |
| 556 | C2×C8 | — | 30 | 2 | no | — |
| 557 | C2×C8 | C22×D15 | 1 | 1 | yes | characteristic |
| 558 | C2×C8 | C22×D15 | 1 | 1 | yes | characteristic |
| 559 | C4⋊C4 | — | 2 | 1 | no | — |
| 560 | C4⋊C4 | — | 2 | 1 | no | — |
| 561 | C4⋊C4 | — | 15 | 1 | no | — |
| 562 | C4⋊C4 | — | 15 | 1 | no | — |
| 563 | C4⋊C4 | — | 15 | 1 | no | — |
| 564 | C4⋊C4 | — | 15 | 1 | no | — |
| 565 | C4⋊C4 | — | 15 | 1 | no | — |
| 566 | C4⋊C4 | — | 30 | 1 | no | — |
| 567 | C4⋊C4 | — | 30 | 1 | no | — |
| 568 | C4⋊C4 | — | 30 | 1 | no | — |
| 569 | C4⋊C4 | — | 30 | 1 | no | — |
| 570 | C4⋊C4 | — | 30 | 1 | no | — |
| 571 | C4⋊C4 | C22×D15 | 1 | 1 | yes | characteristic |
| 572 | C4⋊C4 | C22×D15 | 1 | 1 | yes | characteristic |
| 573 | C4⋊C4 | C22×D15 | 1 | 1 | yes | characteristic |
| 574 | C22⋊C4 | — | 2 | 1 | no | — |
| 575 | C22⋊C4 | — | 15 | 1 | no | — |
| 576 | C22⋊C4 | — | 15 | 1 | no | — |
| 577 | C22⋊C4 | — | 30 | 1 | no | — |
| 578 | C22⋊C4 | — | 30 | 1 | no | — |
| 579 | C22⋊C4 | — | 30 | 1 | no | — |
| 580 | C22⋊C4 | — | 30 | 1 | no | — |
| 581 | C22⋊C4 | — | 30 | 1 | no | — |
| 582 | C42 | — | 15 | 1 | no | — |
| 583 | C42 | — | 30 | 1 | no | — |
| 584 | C42 | — | 30 | 1 | no | — |
| 585 | C42 | C22×D15 | 1 | 1 | yes | characteristic |
| 586 | C3×C5 | #3081 | 1 | 1 | yes | characteristic, complemented, Hall |
| 587 | C22×C3 | — | 2 | 2 | no | — |
| 588 | C22×C3 | — | 4 | 1 | no | — |
| 589 | C22×C3 | — | 4 | 1 | no | — |
| 590 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 591 | C2×D3 | — | 5 | 2 | no | — |
| 592 | C2×D3 | — | 10 | 1 | no | — |
| 593 | C2×D3 | — | 10 | 1 | no | — |
| 594 | C2×D3 | — | 10 | 2 | no | — |
| 595 | C2×D3 | — | 20 | 1 | no | — |
| 596 | C2×D3 | — | 20 | 1 | no | — |
| 597 | C2×D3 | — | 40 | 4 | no | — |
| 598 | C3×C4 | — | 2 | 1 | no | — |
| 599 | C3×C4 | — | 2 | 1 | no | — |
| 600 | C3×C4 | — | 4 | 1 | no | — |
| 601 | C3×C4 | — | 4 | 1 | no | — |
| 602 | C3×C4 | — | 4 | 1 | no | — |
| 603 | C3×C4 | C2×Q8×D5 | 1 | 1 | yes | characteristic |
| 604 | C3×C4 | D5×#41 | 1 | 1 | yes | characteristic |
| 605 | Dic3 | — | 5 | 2 | no | — |
| 606 | Dic3 | — | 10 | 1 | no | — |
| 607 | Dic3 | — | 10 | 1 | no | — |
| 608 | Dic3 | — | 20 | 1 | no | — |
| 609 | Dic3 | — | 20 | 1 | no | — |
| 610 | Dic3 | — | 20 | 1 | no | — |
| 611 | C2×C5 | — | 4 | 2 | no | — |
| 612 | C2×C5 | D3×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 613 | C2×C5 | #5770 | 1 | 1 | yes | characteristic |
| 614 | C2×C5 | #5774 | 1 | 1 | yes | characteristic |
| 615 | D5 | — | 6 | 2 | no | — |
| 616 | D5 | — | 12 | 2 | no | — |
| 617 | C23 | — | 2 | 1 | no | — |
| 618 | C23 | — | 15 | 1 | no | — |
| 619 | C23 | — | 30 | 4 | no | — |
| 620 | C23 | — | 30 | 1 | no | — |
| 621 | C23 | — | 120 | 1 | no | — |
| 622 | C23 | — | 120 | 1 | no | — |
| 623 | Q8 | — | 120 | 1 | no | — |
| 624 | Q8 | — | 120 | 1 | no | — |
| 625 | D4 | — | 2 | 1 | no | — |
| 626 | D4 | — | 15 | 2 | no | — |
| 627 | D4 | — | 30 | 4 | no | — |
| 628 | D4 | — | 30 | 1 | no | — |
| 629 | D4 | Q8×D15 | 1 | 2 | yes | — |
| 630 | C2×C4 | — | 2 | 1 | no | — |
| 631 | C2×C4 | — | 2 | 1 | no | — |
| 632 | C2×C4 | — | 2 | 1 | no | — |
| 633 | C2×C4 | — | 8 | 1 | no | — |
| 634 | C2×C4 | — | 15 | 1 | no | — |
| 635 | C2×C4 | — | 15 | 2 | no | — |
| 636 | C2×C4 | — | 15 | 2 | no | — |
| 637 | C2×C4 | — | 15 | 1 | no | — |
| 638 | C2×C4 | — | 15 | 1 | no | — |
| 639 | C2×C4 | — | 30 | 1 | no | — |
| 640 | C2×C4 | — | 30 | 1 | no | — |
| 641 | C2×C4 | — | 30 | 1 | no | — |
| 642 | C2×C4 | — | 120 | 1 | no | — |
| 643 | C2×C4 | — | 120 | 1 | no | — |
| 644 | C2×C4 | — | 120 | 1 | no | — |
| 645 | C2×C4 | — | 120 | 1 | no | — |
| 646 | C2×C4 | D4×D15 | 1 | 1 | yes | characteristic |
| 647 | C2×C4 | D4×D15 | 1 | 1 | yes | characteristic |
| 648 | C2×C4 | C23×D15 | 1 | 1 | yes | characteristic |
| 649 | C8 | — | 2 | 1 | no | — |
| 650 | C8 | — | 2 | 1 | no | — |
| 651 | C8 | — | 30 | 1 | no | — |
| 652 | C8 | — | 30 | 1 | no | — |
| 653 | C2×C3 | — | 4 | 2 | no | — |
| 654 | C2×C3 | D5×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 655 | C2×C3 | #66104 | 1 | 1 | yes | characteristic |
| 656 | C2×C3 | #66108 | 1 | 1 | yes | characteristic |
| 657 | D3 | — | 10 | 2 | no | — |
| 658 | D3 | — | 20 | 2 | no | — |
| 659 | C5 | #81168 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 660 | C22 | — | 2 | 2 | no | — |
| 661 | C22 | — | 4 | 1 | no | — |
| 662 | C22 | — | 4 | 1 | no | — |
| 663 | C22 | — | 15 | 2 | no | — |
| 664 | C22 | — | 30 | 1 | no | — |
| 665 | C22 | — | 30 | 1 | no | — |
| 666 | C22 | — | 30 | 2 | no | — |
| 667 | C22 | — | 60 | 1 | no | — |
| 668 | C22 | — | 60 | 1 | no | — |
| 669 | C22 | — | 120 | 4 | no | — |
| 670 | C22 | C2×D4×D15 | 1 | 1 | yes | characteristic |
| 671 | C4 | — | 2 | 1 | no | — |
| 672 | C4 | — | 2 | 1 | no | — |
| 673 | C4 | — | 4 | 1 | no | — |
| 674 | C4 | — | 4 | 1 | no | — |
| 675 | C4 | — | 4 | 1 | no | — |
| 676 | C4 | — | 15 | 2 | no | — |
| 677 | C4 | — | 30 | 1 | no | — |
| 678 | C4 | — | 30 | 1 | no | — |
| 679 | C4 | — | 60 | 1 | no | — |
| 680 | C4 | — | 60 | 1 | no | — |
| 681 | C4 | — | 60 | 1 | no | — |
| 682 | C4 | C2×Q8×D15 | 1 | 1 | yes | characteristic |
| 683 | C4 | #41×D15 | 1 | 1 | yes | characteristic |
| 684 | C3 | #10612899 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 685 | C2 | — | 4 | 2 | no | — |
| 686 | C2 | — | 30 | 2 | no | — |
| 687 | C2 | — | 60 | 2 | no | — |
| 688 | C2 | D15×C22⋊Q8 | 1 | 1 | yes | characteristic |
| 689 | C2 | #11756529 | 1 | 1 | yes | characteristic |
| 690 | C2 | #11756533 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta