| 1 | C2×#16840036 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #21455473 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21455374 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #21455371 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C2×#16839883 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #21454413 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21447181 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #21447038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #21447037 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #21446687 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #21446569 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #21446187 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #21446185 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #21445877 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C61×#2064 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14519810 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#14519808 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14519799 | C22 | 1 | 1 | yes | characteristic |
| 19 | C22×#11758202 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#14519785 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#14519785 | C22 | 1 | 1 | yes | characteristic |
| 22 | #16840338 | C22 | 1 | 1 | yes | characteristic |
| 23 | #16840336 | C22 | 1 | 1 | yes | characteristic |
| 24 | #16840243 | C22 | 1 | 1 | yes | characteristic |
| 25 | #16840242 | C22 | 1 | 1 | yes | characteristic |
| 26 | #16840036 | — | 2 | 4 | no | — |
| 27 | #16840019 | — | 2 | 1 | no | — |
| 28 | #16840019 | — | 2 | 1 | no | — |
| 29 | #16840002 | — | 2 | 1 | no | — |
| 30 | #16840002 | — | 2 | 1 | no | — |
| 31 | #16839987 | — | 2 | 1 | no | — |
| 32 | #16839985 | — | 2 | 1 | no | — |
| 33 | #16839980 | — | 2 | 1 | no | — |
| 34 | #16839978 | — | 2 | 1 | no | — |
| 35 | #16839973 | — | 2 | 1 | no | — |
| 36 | #16839971 | — | 2 | 1 | no | — |
| 37 | #16839968 | — | 2 | 1 | no | — |
| 38 | #16839966 | — | 2 | 1 | no | — |
| 39 | #16839883 | — | 2 | 4 | no | — |
| 40 | C2×#14519712 | C22 | 1 | 1 | yes | characteristic |
| 41 | #16839804 | C22 | 1 | 1 | yes | characteristic |
| 42 | #16839803 | — | 2 | 1 | no | — |
| 43 | #16839801 | — | 2 | 1 | no | — |
| 44 | #16839799 | — | 2 | 1 | no | — |
| 45 | #16839798 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×#14519708 | C22 | 1 | 1 | yes | characteristic |
| 47 | #106×D61 | — | 2 | 1 | no | — |
| 48 | #16839788 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×#14519703 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#14519703 | C22 | 1 | 1 | yes | characteristic |
| 51 | #16839772 | C22 | 1 | 1 | yes | characteristic |
| 52 | #16839764 | C22 | 1 | 1 | yes | characteristic |
| 53 | #16839761 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×#14519702 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×#14519695 | C22 | 1 | 1 | yes | characteristic |
| 56 | C2×#14519687 | C22 | 1 | 1 | yes | characteristic |
| 57 | #16839669 | C22 | 1 | 1 | yes | characteristic |
| 58 | #16839667 | C22 | 1 | 1 | yes | characteristic |
| 59 | #16839530 | C22 | 1 | 1 | yes | characteristic |
| 60 | #16839523 | C22 | 1 | 1 | yes | characteristic |
| 61 | #16839521 | C22 | 1 | 1 | yes | characteristic |
| 62 | C2×#108×C61 | C22 | 1 | 1 | yes | characteristic |
| 63 | C61×#428 | C22 | 1 | 1 | yes | characteristic |
| 64 | C61×#424 | C22 | 1 | 1 | yes | characteristic |
| 65 | C61×#419 | C22 | 1 | 1 | yes | characteristic |
| 66 | C2×#103×C61 | C22 | 1 | 1 | yes | characteristic |
| 67 | C2×#101×C61 | C22 | 1 | 1 | yes | characteristic |
| 68 | C61×#343 | C22 | 1 | 1 | yes | characteristic |
| 69 | C2×#11758222 | C23 | 1 | 1 | yes | characteristic |
| 70 | C2×#11758222 | C23 | 1 | 1 | yes | characteristic |
| 71 | C22×Dic122 | C23 | 1 | 1 | yes | characteristic |
| 72 | #14519810 | — | 2 | 2 | no | — |
| 73 | #14519810 | — | 2 | 2 | no | — |
| 74 | #14519808 | — | 2 | 2 | no | — |
| 75 | #14519808 | — | 2 | 2 | no | — |
| 76 | #14519799 | — | 2 | 2 | no | — |
| 77 | #14519799 | — | 2 | 2 | no | — |
| 78 | C2×Dic244 | — | 2 | 1 | no | — |
| 79 | C2×Dic244 | D4 | 1 | 1 | yes | characteristic |
| 80 | C2×#11758202 | — | 2 | 1 | no | — |
| 81 | C2×#11758202 | — | 2 | 1 | no | — |
| 82 | C2×#11758202 | — | 2 | 1 | no | — |
| 83 | C2×#11758202 | — | 2 | 2 | no | — |
| 84 | C2×#11758202 | — | 2 | 2 | no | — |
| 85 | C2×#11758190 | — | 2 | 1 | no | — |
| 86 | C2×#11758190 | D4 | 1 | 1 | yes | characteristic |
| 87 | C2×#11758190 | D4 | 1 | 1 | yes | characteristic |
| 88 | C2×#11758201 | — | 2 | 1 | no | — |
| 89 | C2×D488 | D4 | 1 | 1 | yes | characteristic |
| 90 | #14519785 | — | 2 | 2 | no | — |
| 91 | #14519785 | — | 2 | 2 | no | — |
| 92 | #14519785 | — | 2 | 2 | no | — |
| 93 | #14519785 | D4 | 1 | 4 | yes | — |
| 94 | C2×#11758194 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×#11758189 | — | 2 | 1 | no | — |
| 96 | C2×#11758189 | — | 2 | 1 | no | — |
| 97 | C22×#92418 | C23 | 1 | 1 | yes | characteristic |
| 98 | C2×C8×D61 | — | 2 | 1 | no | — |
| 99 | C2×C8×D61 | — | 2 | 1 | no | — |
| 100 | #14519777 | — | 2 | 1 | no | — |
| 101 | #14519775 | — | 2 | 1 | no | — |
| 102 | #14519766 | — | 2 | 1 | no | — |
| 103 | #14519765 | — | 2 | 1 | no | — |
| 104 | #14519761 | — | 4 | 1 | no | — |
| 105 | #14519760 | — | 4 | 1 | no | — |
| 106 | #14519757 | — | 2 | 1 | no | — |
| 107 | #14519757 | — | 2 | 1 | no | — |
| 108 | #14519753 | — | 2 | 1 | no | — |
| 109 | #14519753 | — | 2 | 1 | no | — |
| 110 | C4×Dic122 | — | 2 | 1 | no | — |
| 111 | #14519742 | — | 2 | 1 | no | — |
| 112 | C4×D244 | — | 2 | 1 | no | — |
| 113 | #14519739 | — | 2 | 1 | no | — |
| 114 | C4×C22⋊D61 | — | 4 | 1 | no | — |
| 115 | #14519737 | — | 4 | 1 | no | — |
| 116 | #14519736 | C23 | 1 | 1 | yes | characteristic |
| 117 | #14519735 | — | 2 | 1 | no | — |
| 118 | #14519735 | — | 2 | 1 | no | — |
| 119 | C2×C4⋊Dic61 | C23 | 1 | 1 | yes | characteristic |
| 120 | C4⋊C4×D61 | — | 2 | 1 | no | — |
| 121 | C4⋊C4×D61 | — | 2 | 1 | no | — |
| 122 | C2×C4×Dic61 | C23 | 1 | 1 | yes | characteristic |
| 123 | #14519712 | — | 2 | 2 | no | — |
| 124 | #14519711 | — | 2 | 1 | no | — |
| 125 | #14519710 | D4 | 1 | 1 | yes | characteristic |
| 126 | #14519710 | D4 | 1 | 1 | yes | characteristic |
| 127 | #14519709 | — | 2 | 1 | no | — |
| 128 | #14519708 | — | 2 | 1 | no | — |
| 129 | #14519708 | — | 2 | 1 | no | — |
| 130 | #14519708 | D4 | 1 | 1 | yes | characteristic |
| 131 | #14519708 | D4 | 1 | 1 | yes | characteristic |
| 132 | #14519706 | — | 2 | 1 | no | — |
| 133 | #14519706 | — | 2 | 1 | no | — |
| 134 | #14519703 | — | 2 | 2 | no | — |
| 135 | #14519703 | — | 2 | 2 | no | — |
| 136 | #14519702 | — | 2 | 1 | no | — |
| 137 | #14519702 | — | 2 | 1 | no | — |
| 138 | #14519702 | — | 2 | 1 | no | — |
| 139 | #14519702 | — | 2 | 1 | no | — |
| 140 | #14519702 | — | 2 | 1 | no | — |
| 141 | #14519700 | — | 2 | 1 | no | — |
| 142 | #14519699 | — | 2 | 1 | no | — |
| 143 | #14519697 | — | 2 | 1 | no | — |
| 144 | #14519695 | — | 2 | 2 | no | — |
| 145 | #14519687 | — | 2 | 2 | no | — |
| 146 | #14519684 | — | 4 | 1 | no | — |
| 147 | #14519684 | — | 4 | 1 | no | — |
| 148 | C22×Q8×C61 | C23 | 1 | 1 | yes | characteristic |
| 149 | C2×M16×C61 | C23 | 1 | 1 | yes | characteristic |
| 150 | C2×M16×C61 | C23 | 1 | 1 | yes | characteristic |
| 151 | C2×M16×C61 | C23 | 1 | 1 | yes | characteristic |
| 152 | C22×C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 153 | #117×C61 | C23 | 1 | 1 | yes | characteristic |
| 154 | C2×C4⋊C4×C61 | C23 | 1 | 1 | yes | characteristic |
| 155 | #108×C61 | — | 2 | 2 | no | — |
| 156 | #107×C61 | — | 2 | 1 | no | — |
| 157 | #106×C61 | — | 2 | 1 | no | — |
| 158 | C4⋊C8×C61 | — | 2 | 1 | no | — |
| 159 | C4⋊C8×C61 | — | 2 | 1 | no | — |
| 160 | #103×C61 | — | 2 | 1 | no | — |
| 161 | #103×C61 | — | 2 | 1 | no | — |
| 162 | #103×C61 | — | 2 | 1 | no | — |
| 163 | #103×C61 | — | 2 | 1 | no | — |
| 164 | #101×C61 | — | 2 | 2 | no | — |
| 165 | C2×Q8×C61 | — | 2 | 1 | no | — |
| 166 | C2×Q8×C61 | — | 2 | 1 | no | — |
| 167 | C2×Q8×C61 | — | 2 | 1 | no | — |
| 168 | C2×Q8×C61 | — | 2 | 1 | no | — |
| 169 | C2×Q8×C61 | — | 2 | 1 | no | — |
| 170 | C2×Q8×C61 | — | 2 | 1 | no | — |
| 171 | C22×C4×C61 | — | 2 | 1 | no | — |
| 172 | C22×C4×C61 | — | 2 | 1 | no | — |
| 173 | C22×C4×C61 | C24 | 1 | 1 | yes | characteristic |
| 174 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 175 | C2×C22⋊D61 | — | 2 | 1 | no | — |
| 176 | C22×Dic61 | — | 2 | 1 | no | — |
| 177 | C22×Dic61 | — | 2 | 1 | no | — |
| 178 | C22×Dic61 | — | 2 | 1 | no | — |
| 179 | #11758222 | — | 2 | 1 | no | — |
| 180 | #11758222 | — | 2 | 1 | no | — |
| 181 | #11758222 | — | 2 | 1 | no | — |
| 182 | #11758222 | — | 2 | 1 | no | — |
| 183 | #11758222 | — | 2 | 1 | no | — |
| 184 | #11758222 | — | 2 | 1 | no | — |
| 185 | #11758222 | C2×D4 | 1 | 2 | yes | — |
| 186 | #11758222 | #41 | 1 | 2 | yes | — |
| 187 | C2×D244 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | C2×D244 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C2×C4×D61 | — | 2 | 1 | no | — |
| 190 | C2×C4×D61 | — | 2 | 1 | no | — |
| 191 | C2×C4×D61 | — | 4 | 1 | no | — |
| 192 | C2×C4×D61 | — | 4 | 1 | no | — |
| 193 | C2×Dic122 | — | 2 | 1 | no | — |
| 194 | C2×Dic122 | — | 2 | 1 | no | — |
| 195 | C2×Dic122 | — | 2 | 1 | no | — |
| 196 | C2×Dic122 | — | 2 | 1 | no | — |
| 197 | C2×Dic122 | — | 2 | 1 | no | — |
| 198 | C2×Dic122 | — | 2 | 1 | no | — |
| 199 | C2×Dic122 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C2×Dic122 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | M16×C61 | — | 2 | 1 | no | — |
| 202 | M16×C61 | — | 2 | 1 | no | — |
| 203 | M16×C61 | — | 2 | 1 | no | — |
| 204 | M16×C61 | — | 2 | 1 | no | — |
| 205 | M16×C61 | — | 2 | 1 | no | — |
| 206 | M16×C61 | C2×D4 | 1 | 2 | yes | — |
| 207 | C2×C8×C61 | — | 2 | 1 | no | — |
| 208 | C2×C8×C61 | — | 2 | 1 | no | — |
| 209 | C2×C8×C61 | — | 2 | 1 | no | — |
| 210 | C2×C8×C61 | — | 2 | 1 | no | — |
| 211 | C2×C8×C61 | — | 2 | 1 | no | — |
| 212 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 215 | C4⋊C4×C61 | — | 2 | 1 | no | — |
| 216 | C4⋊C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C4⋊C4×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C22⋊C4×C61 | — | 2 | 1 | no | — |
| 219 | C42×C61 | — | 2 | 1 | no | — |
| 220 | C22⋊Dic61 | — | 2 | 1 | no | — |
| 221 | #11758202 | — | 4 | 2 | no | — |
| 222 | #11758202 | — | 4 | 2 | no | — |
| 223 | #11758202 | — | 4 | 2 | no | — |
| 224 | #11758201 | — | 4 | 2 | no | — |
| 225 | #11758198 | — | 4 | 1 | no | — |
| 226 | #11758198 | — | 4 | 1 | no | — |
| 227 | #11758198 | — | 4 | 1 | no | — |
| 228 | #11758198 | — | 4 | 1 | no | — |
| 229 | #11758198 | — | 4 | 1 | no | — |
| 230 | #11758198 | — | 4 | 1 | no | — |
| 231 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 232 | C4⋊Dic61 | — | 2 | 1 | no | — |
| 233 | C4⋊Dic61 | — | 4 | 1 | no | — |
| 234 | C4⋊Dic61 | — | 4 | 1 | no | — |
| 235 | C4⋊Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C4⋊Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 237 | #11758196 | — | 4 | 1 | no | — |
| 238 | #11758196 | — | 4 | 1 | no | — |
| 239 | #11758196 | — | 4 | 1 | no | — |
| 240 | #11758196 | — | 4 | 1 | no | — |
| 241 | C4×Dic61 | — | 2 | 1 | no | — |
| 242 | C4×Dic61 | — | 2 | 1 | no | — |
| 243 | C4×Dic61 | — | 2 | 1 | no | — |
| 244 | C4×Dic61 | — | 4 | 1 | no | — |
| 245 | C4×Dic61 | — | 4 | 1 | no | — |
| 246 | #11758194 | — | 2 | 1 | no | — |
| 247 | #11758194 | — | 2 | 1 | no | — |
| 248 | C2×#92418 | — | 2 | 1 | no | — |
| 249 | C2×#92418 | C2×D4 | 1 | 2 | yes | — |
| 250 | C2×#92418 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C2×#92418 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C2×#92418 | #41 | 1 | 2 | yes | — |
| 253 | Dic244 | — | 2 | 2 | no | — |
| 254 | Dic244 | — | 4 | 2 | no | — |
| 255 | D488 | — | 2 | 2 | no | — |
| 256 | #11758190 | — | 2 | 2 | no | — |
| 257 | #11758190 | — | 2 | 2 | no | — |
| 258 | #11758190 | — | 4 | 2 | no | — |
| 259 | #11758189 | — | 2 | 4 | no | — |
| 260 | #11758189 | — | 4 | 2 | no | — |
| 261 | C8×D61 | — | 2 | 4 | no | — |
| 262 | C8×D61 | — | 4 | 2 | no | — |
| 263 | C23×C61 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 264 | C22×D61 | — | 2 | 1 | no | — |
| 265 | C22×D61 | — | 2 | 1 | no | — |
| 266 | Q8×C61 | — | 4 | 1 | no | — |
| 267 | Q8×C61 | — | 4 | 1 | no | — |
| 268 | Q8×C61 | — | 4 | 1 | no | — |
| 269 | Q8×C61 | — | 4 | 1 | no | — |
| 270 | C2×C4×C61 | — | 2 | 1 | no | — |
| 271 | C2×C4×C61 | — | 2 | 1 | no | — |
| 272 | C2×C4×C61 | — | 4 | 1 | no | — |
| 273 | C2×C4×C61 | — | 4 | 1 | no | — |
| 274 | C2×C4×C61 | — | 4 | 1 | no | — |
| 275 | C2×C4×C61 | — | 4 | 1 | no | — |
| 276 | C2×C4×C61 | — | 8 | 1 | no | — |
| 277 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 278 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 279 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 280 | C2×C4×C61 | C2×#41 | 1 | 1 | yes | characteristic |
| 281 | C2×C4×C61 | C2×#41 | 1 | 1 | yes | characteristic |
| 282 | C2×C4×C61 | 2−1+4 | 1 | 1 | yes | characteristic |
| 283 | C22⋊D61 | — | 2 | 2 | no | — |
| 284 | C22⋊D61 | — | 2 | 2 | no | — |
| 285 | C22⋊D61 | — | 4 | 1 | no | — |
| 286 | C22⋊D61 | — | 4 | 1 | no | — |
| 287 | C2×Dic61 | — | 2 | 1 | no | — |
| 288 | C2×Dic61 | — | 2 | 1 | no | — |
| 289 | C2×Dic61 | — | 2 | 1 | no | — |
| 290 | C2×Dic61 | — | 2 | 1 | no | — |
| 291 | C2×Dic61 | — | 4 | 1 | no | — |
| 292 | C2×Dic61 | — | 4 | 1 | no | — |
| 293 | C2×Dic61 | — | 4 | 1 | no | — |
| 294 | C2×Dic61 | — | 4 | 1 | no | — |
| 295 | C2×Dic61 | — | 4 | 1 | no | — |
| 296 | C2×Dic61 | — | 4 | 1 | no | — |
| 297 | C2×Dic61 | — | 4 | 1 | no | — |
| 298 | C2×Dic61 | — | 8 | 1 | no | — |
| 299 | D244 | — | 2 | 1 | no | — |
| 300 | D244 | — | 2 | 1 | no | — |
| 301 | D244 | — | 2 | 1 | no | — |
| 302 | D244 | #121 | 1 | 2 | yes | — |
| 303 | C4×D61 | — | 2 | 2 | no | — |
| 304 | C4×D61 | — | 2 | 2 | no | — |
| 305 | C4×D61 | — | 4 | 1 | no | — |
| 306 | C4×D61 | — | 4 | 1 | no | — |
| 307 | C4×D61 | — | 16 | 1 | no | — |
| 308 | C4×D61 | — | 16 | 1 | no | — |
| 309 | Dic122 | — | 2 | 1 | no | — |
| 310 | Dic122 | — | 2 | 1 | no | — |
| 311 | Dic122 | — | 2 | 1 | no | — |
| 312 | Dic122 | — | 4 | 1 | no | — |
| 313 | Dic122 | — | 4 | 1 | no | — |
| 314 | Dic122 | — | 4 | 1 | no | — |
| 315 | Dic122 | — | 4 | 1 | no | — |
| 316 | Dic122 | #121 | 1 | 2 | yes | — |
| 317 | C8×C61 | — | 2 | 2 | no | — |
| 318 | C8×C61 | — | 2 | 1 | no | — |
| 319 | C8×C61 | — | 2 | 1 | no | — |
| 320 | C8×C61 | — | 4 | 1 | no | — |
| 321 | C8×C61 | — | 4 | 1 | no | — |
| 322 | #92418 | — | 4 | 1 | no | — |
| 323 | #92418 | #121 | 1 | 2 | yes | — |
| 324 | #92418 | #121 | 1 | 2 | yes | — |
| 325 | #24800 | — | 61 | 1 | no | maximal, Sylow |
| 326 | C22×C61 | — | 2 | 1 | no | — |
| 327 | C22×C61 | — | 2 | 1 | no | — |
| 328 | C22×C61 | #537 | 1 | 1 | yes | characteristic |
| 329 | C22×C61 | D42 | 1 | 1 | yes | characteristic |
| 330 | C22×C61 | #553 | 1 | 1 | yes | characteristic |
| 331 | C2×D61 | — | 2 | 2 | no | — |
| 332 | C2×D61 | — | 4 | 1 | no | — |
| 333 | C2×D61 | — | 4 | 1 | no | — |
| 334 | C2×D61 | — | 4 | 1 | no | — |
| 335 | C2×D61 | — | 4 | 1 | no | — |
| 336 | C2×D61 | — | 4 | 1 | no | — |
| 337 | C4×C61 | — | 4 | 1 | no | — |
| 338 | C4×C61 | — | 4 | 1 | no | — |
| 339 | C4×C61 | — | 8 | 1 | no | — |
| 340 | C4×C61 | — | 8 | 1 | no | — |
| 341 | C4×C61 | C2×#121 | 1 | 1 | yes | characteristic |
| 342 | C4×C61 | C2×#121 | 1 | 1 | yes | characteristic |
| 343 | C4×C61 | #547 | 1 | 1 | yes | characteristic |
| 344 | C4×C61 | #548 | 1 | 1 | yes | characteristic |
| 345 | Dic61 | — | 2 | 2 | no | — |
| 346 | Dic61 | — | 4 | 1 | no | — |
| 347 | Dic61 | — | 4 | 1 | no | — |
| 348 | Dic61 | — | 4 | 1 | no | — |
| 349 | Dic61 | — | 8 | 1 | no | — |
| 350 | Dic61 | — | 8 | 1 | no | — |
| 351 | Dic61 | — | 8 | 1 | no | — |
| 352 | C2×#473 | — | 61 | 1 | no | — |
| 353 | #3059 | — | 61 | 1 | no | — |
| 354 | #3046 | — | 61 | 1 | no | — |
| 355 | #3046 | — | 61 | 1 | no | — |
| 356 | C2×#444 | — | 61 | 1 | no | — |
| 357 | #2912 | — | 61 | 1 | no | — |
| 358 | #2064 | — | 61 | 1 | no | — |
| 359 | #2064 | D61 | 1 | 1 | yes | characteristic, complemented |
| 360 | #2038 | — | 61 | 1 | no | — |
| 361 | #2038 | — | 61 | 1 | no | — |
| 362 | #1971 | — | 61 | 1 | no | — |
| 363 | #1946 | — | 61 | 1 | no | — |
| 364 | #1882 | — | 61 | 1 | no | — |
| 365 | #1882 | — | 61 | 1 | no | — |
| 366 | #1815 | — | 61 | 1 | no | — |
| 367 | C2×C61 | — | 2 | 1 | no | — |
| 368 | C2×C61 | — | 2 | 1 | no | — |
| 369 | C2×C61 | #2416 | 1 | 1 | yes | characteristic |
| 370 | C2×C61 | #3289 | 1 | 1 | yes | characteristic |
| 371 | C2×C61 | #3289 | 1 | 1 | yes | characteristic |
| 372 | D61 | — | 4 | 2 | no | — |
| 373 | D61 | — | 8 | 1 | no | — |
| 374 | C2×#137 | — | 61 | 1 | no | — |
| 375 | C2×#137 | — | 61 | 1 | no | — |
| 376 | C2×#135 | — | 61 | 1 | no | — |
| 377 | C22×Q16 | — | 61 | 1 | no | — |
| 378 | C2×#131 | — | 61 | 1 | no | — |
| 379 | C2×#131 | — | 61 | 1 | no | — |
| 380 | #536 | — | 61 | 1 | no | — |
| 381 | #536 | — | 61 | 1 | no | — |
| 382 | #520 | — | 61 | 1 | no | — |
| 383 | #520 | — | 61 | 1 | no | — |
| 384 | #473 | — | 122 | 4 | no | — |
| 385 | #470 | — | 122 | 1 | no | — |
| 386 | #470 | — | 122 | 1 | no | — |
| 387 | #467 | — | 122 | 1 | no | — |
| 388 | #467 | — | 122 | 1 | no | — |
| 389 | #464 | — | 122 | 1 | no | — |
| 390 | #464 | — | 122 | 1 | no | — |
| 391 | #463 | — | 122 | 1 | no | — |
| 392 | #463 | — | 122 | 1 | no | — |
| 393 | #462 | — | 122 | 1 | no | — |
| 394 | #462 | — | 122 | 1 | no | — |
| 395 | #461 | — | 122 | 1 | no | — |
| 396 | #461 | — | 122 | 1 | no | — |
| 397 | #444 | — | 122 | 4 | no | — |
| 398 | C2×#108 | — | 61 | 1 | no | — |
| 399 | C2×#108 | C2×D61 | 1 | 1 | yes | characteristic |
| 400 | #428 | — | 61 | 1 | no | — |
| 401 | #428 | — | 122 | 1 | no | — |
| 402 | #428 | — | 122 | 1 | no | — |
| 403 | #428 | C2×D61 | 1 | 1 | yes | characteristic |
| 404 | #427 | — | 61 | 1 | no | — |
| 405 | #427 | — | 122 | 1 | no | — |
| 406 | C2×#106 | — | 61 | 1 | no | — |
| 407 | C2×#106 | — | 122 | 1 | no | — |
| 408 | #424 | — | 61 | 1 | no | — |
| 409 | #424 | C2×D61 | 1 | 1 | yes | characteristic |
| 410 | C2×#104 | — | 61 | 1 | no | — |
| 411 | C2×#104 | — | 61 | 1 | no | — |
| 412 | #419 | — | 61 | 1 | no | — |
| 413 | #419 | C2×D61 | 1 | 1 | yes | characteristic |
| 414 | #417 | — | 61 | 1 | no | — |
| 415 | #417 | — | 61 | 1 | no | — |
| 416 | C2×#103 | — | 61 | 1 | no | — |
| 417 | C2×#103 | C2×D61 | 1 | 1 | yes | characteristic |
| 418 | C2×#101 | — | 61 | 1 | no | — |
| 419 | C2×#101 | C2×D61 | 1 | 1 | yes | characteristic |
| 420 | C2×#97 | — | 61 | 1 | no | — |
| 421 | #391 | — | 61 | 1 | no | — |
| 422 | #391 | — | 61 | 1 | no | — |
| 423 | #343 | — | 61 | 1 | no | — |
| 424 | #343 | C2×D61 | 1 | 1 | yes | characteristic |
| 425 | #339 | — | 61 | 1 | no | — |
| 426 | #339 | — | 61 | 1 | no | — |
| 427 | C61 | #24800 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 428 | C2×#41 | — | 61 | 1 | no | — |
| 429 | C2×#41 | — | 61 | 1 | no | — |
| 430 | C22×Q8 | — | 61 | 1 | no | — |
| 431 | C22×Q8 | C22×D61 | 1 | 1 | yes | characteristic |
| 432 | #137 | — | 122 | 2 | no | — |
| 433 | #137 | — | 122 | 2 | no | — |
| 434 | #137 | — | 122 | 2 | no | — |
| 435 | #137 | — | 122 | 2 | no | — |
| 436 | #135 | — | 122 | 2 | no | — |
| 437 | #135 | — | 122 | 2 | no | — |
| 438 | C2×Q16 | — | 61 | 1 | no | — |
| 439 | C2×Q16 | — | 122 | 1 | no | — |
| 440 | C2×Q16 | — | 122 | 1 | no | — |
| 441 | C2×Q16 | — | 122 | 1 | no | — |
| 442 | C2×Q16 | — | 122 | 2 | no | — |
| 443 | C2×Q16 | — | 122 | 2 | no | — |
| 444 | C2×Q16 | — | 122 | 1 | no | — |
| 445 | C2×SD16 | — | 61 | 1 | no | — |
| 446 | C2×SD16 | — | 61 | 1 | no | — |
| 447 | C2×SD16 | — | 122 | 1 | no | — |
| 448 | C2×SD16 | — | 122 | 1 | no | — |
| 449 | C2×D8 | — | 61 | 1 | no | — |
| 450 | #131 | — | 61 | 4 | no | — |
| 451 | #131 | — | 122 | 2 | no | — |
| 452 | #131 | — | 122 | 2 | no | — |
| 453 | #131 | — | 122 | 2 | no | — |
| 454 | C2×M16 | — | 61 | 1 | no | — |
| 455 | C2×M16 | — | 122 | 1 | no | — |
| 456 | C2×M16 | — | 122 | 1 | no | — |
| 457 | C2×M16 | C22×D61 | 1 | 1 | yes | characteristic |
| 458 | C2×M16 | C22×D61 | 1 | 1 | yes | characteristic |
| 459 | C2×M16 | C22×D61 | 1 | 1 | yes | characteristic |
| 460 | C22×C8 | — | 61 | 1 | no | — |
| 461 | C22×C8 | — | 122 | 1 | no | — |
| 462 | C22×C8 | — | 122 | 1 | no | — |
| 463 | C22×C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 464 | C4⋊Q8 | — | 122 | 1 | no | — |
| 465 | C4⋊Q8 | — | 122 | 1 | no | — |
| 466 | #124 | — | 122 | 1 | no | — |
| 467 | #124 | — | 122 | 1 | no | — |
| 468 | #123 | — | 244 | 1 | no | — |
| 469 | #123 | — | 244 | 1 | no | — |
| 470 | C22⋊Q8 | — | 122 | 1 | no | — |
| 471 | C22⋊Q8 | — | 122 | 1 | no | — |
| 472 | C22⋊Q8 | — | 122 | 1 | no | — |
| 473 | C22⋊Q8 | — | 122 | 1 | no | — |
| 474 | C4×Q8 | — | 122 | 1 | no | — |
| 475 | C4×Q8 | — | 122 | 1 | no | — |
| 476 | C4×D4 | — | 122 | 1 | no | — |
| 477 | C4×D4 | — | 122 | 1 | no | — |
| 478 | C4×D4 | — | 244 | 1 | no | — |
| 479 | C4×D4 | — | 244 | 1 | no | — |
| 480 | #117 | — | 61 | 1 | no | — |
| 481 | #117 | — | 122 | 1 | no | — |
| 482 | #117 | — | 122 | 1 | no | — |
| 483 | #117 | C22×D61 | 1 | 1 | yes | characteristic |
| 484 | C2×C4⋊C4 | — | 61 | 1 | no | — |
| 485 | C2×C4⋊C4 | — | 122 | 1 | no | — |
| 486 | C2×C4⋊C4 | — | 122 | 1 | no | — |
| 487 | C2×C4⋊C4 | C22×D61 | 1 | 1 | yes | characteristic |
| 488 | C2×C42 | — | 61 | 1 | no | — |
| 489 | #108 | — | 2 | 2 | no | — |
| 490 | #108 | — | 122 | 2 | no | — |
| 491 | #107 | — | 2 | 1 | no | — |
| 492 | #107 | — | 61 | 1 | no | — |
| 493 | #107 | — | 61 | 1 | no | — |
| 494 | #107 | — | 122 | 1 | no | — |
| 495 | #106 | — | 2 | 1 | no | — |
| 496 | #106 | — | 61 | 1 | no | — |
| 497 | #106 | — | 61 | 1 | no | — |
| 498 | #106 | — | 122 | 1 | no | — |
| 499 | #106 | — | 122 | 1 | no | — |
| 500 | #106 | — | 122 | 1 | no | — |
| 501 | C4⋊C8 | — | 2 | 1 | no | — |
| 502 | C4⋊C8 | — | 2 | 1 | no | — |
| 503 | C4⋊C8 | — | 122 | 1 | no | — |
| 504 | C4⋊C8 | — | 122 | 1 | no | — |
| 505 | #104 | — | 122 | 2 | no | — |
| 506 | #104 | — | 122 | 2 | no | — |
| 507 | #103 | — | 2 | 1 | no | — |
| 508 | #103 | — | 2 | 1 | no | — |
| 509 | #103 | — | 2 | 1 | no | — |
| 510 | #103 | — | 2 | 1 | no | — |
| 511 | #103 | — | 122 | 1 | no | — |
| 512 | #103 | — | 122 | 1 | no | — |
| 513 | #103 | — | 122 | 1 | no | — |
| 514 | #103 | — | 122 | 1 | no | — |
| 515 | #103 | — | 122 | 1 | no | — |
| 516 | #103 | — | 122 | 1 | no | — |
| 517 | #102 | — | 122 | 1 | no | — |
| 518 | #102 | — | 122 | 1 | no | — |
| 519 | #101 | — | 2 | 2 | no | — |
| 520 | #101 | — | 122 | 2 | no | — |
| 521 | #97 | — | 122 | 2 | no | — |
| 522 | #95 | — | 244 | 1 | no | — |
| 523 | #95 | — | 244 | 1 | no | — |
| 524 | #41 | — | 61 | 2 | no | — |
| 525 | #41 | — | 61 | 2 | no | — |
| 526 | #41 | — | 122 | 1 | no | — |
| 527 | #41 | — | 122 | 1 | no | — |
| 528 | #41 | — | 122 | 1 | no | — |
| 529 | #41 | — | 122 | 1 | no | — |
| 530 | #41 | — | 122 | 1 | no | — |
| 531 | #41 | — | 122 | 1 | no | — |
| 532 | C2×Q8 | — | 2 | 1 | no | — |
| 533 | C2×Q8 | — | 2 | 1 | no | — |
| 534 | C2×Q8 | — | 2 | 1 | no | — |
| 535 | C2×Q8 | — | 2 | 1 | no | — |
| 536 | C2×Q8 | — | 2 | 1 | no | — |
| 537 | C2×Q8 | — | 2 | 1 | no | — |
| 538 | C2×Q8 | — | 61 | 1 | no | — |
| 539 | C2×Q8 | — | 61 | 1 | no | — |
| 540 | C2×Q8 | — | 122 | 1 | no | — |
| 541 | C2×Q8 | — | 122 | 1 | no | — |
| 542 | C2×Q8 | — | 122 | 1 | no | — |
| 543 | C2×Q8 | — | 122 | 1 | no | — |
| 544 | C2×Q8 | — | 122 | 1 | no | — |
| 545 | C2×Q8 | — | 122 | 1 | no | — |
| 546 | C2×D4 | — | 61 | 1 | no | — |
| 547 | C2×D4 | — | 61 | 1 | no | — |
| 548 | C2×D4 | — | 122 | 1 | no | — |
| 549 | C2×D4 | — | 122 | 1 | no | — |
| 550 | C22×C4 | — | 2 | 1 | no | — |
| 551 | C22×C4 | — | 2 | 1 | no | — |
| 552 | C22×C4 | — | 122 | 1 | no | — |
| 553 | C22×C4 | — | 122 | 1 | no | — |
| 554 | C22×C4 | — | 122 | 1 | no | — |
| 555 | C22×C4 | — | 122 | 1 | no | — |
| 556 | C22×C4 | — | 122 | 1 | no | — |
| 557 | C22×C4 | — | 244 | 1 | no | — |
| 558 | C22×C4 | — | 244 | 1 | no | — |
| 559 | C22×C4 | C23×D61 | 1 | 1 | yes | characteristic |
| 560 | Q16 | — | 122 | 2 | no | — |
| 561 | Q16 | — | 244 | 2 | no | — |
| 562 | Q16 | — | 244 | 2 | no | — |
| 563 | Q16 | — | 244 | 2 | no | — |
| 564 | Q16 | — | 244 | 2 | no | — |
| 565 | SD16 | — | 122 | 2 | no | — |
| 566 | SD16 | — | 122 | 2 | no | — |
| 567 | SD16 | — | 244 | 2 | no | — |
| 568 | SD16 | — | 244 | 2 | no | — |
| 569 | D8 | — | 122 | 2 | no | — |
| 570 | M16 | — | 2 | 1 | no | — |
| 571 | M16 | — | 2 | 1 | no | — |
| 572 | M16 | — | 2 | 1 | no | — |
| 573 | M16 | — | 2 | 1 | no | — |
| 574 | M16 | — | 2 | 1 | no | — |
| 575 | M16 | — | 122 | 4 | no | — |
| 576 | M16 | — | 122 | 1 | no | — |
| 577 | M16 | — | 122 | 1 | no | — |
| 578 | M16 | — | 244 | 2 | no | — |
| 579 | M16 | D4×D61 | 1 | 2 | yes | — |
| 580 | C2×C8 | — | 2 | 1 | no | — |
| 581 | C2×C8 | — | 2 | 1 | no | — |
| 582 | C2×C8 | — | 2 | 1 | no | — |
| 583 | C2×C8 | — | 2 | 1 | no | — |
| 584 | C2×C8 | — | 2 | 1 | no | — |
| 585 | C2×C8 | — | 61 | 2 | no | — |
| 586 | C2×C8 | — | 61 | 1 | no | — |
| 587 | C2×C8 | — | 61 | 1 | no | — |
| 588 | C2×C8 | — | 61 | 2 | no | — |
| 589 | C2×C8 | — | 122 | 4 | no | — |
| 590 | C2×C8 | — | 122 | 1 | no | — |
| 591 | C2×C8 | — | 244 | 2 | no | — |
| 592 | C2×C8 | D4×D61 | 1 | 1 | yes | characteristic |
| 593 | C2×C8 | D4×D61 | 1 | 1 | yes | characteristic |
| 594 | C4⋊C4 | — | 2 | 1 | no | — |
| 595 | C4⋊C4 | — | 2 | 1 | no | — |
| 596 | C4⋊C4 | — | 61 | 1 | no | — |
| 597 | C4⋊C4 | — | 61 | 1 | no | — |
| 598 | C4⋊C4 | — | 122 | 1 | no | — |
| 599 | C4⋊C4 | — | 122 | 1 | no | — |
| 600 | C4⋊C4 | — | 244 | 1 | no | — |
| 601 | C4⋊C4 | — | 244 | 1 | no | — |
| 602 | C4⋊C4 | — | 244 | 1 | no | — |
| 603 | C4⋊C4 | — | 244 | 1 | no | — |
| 604 | C4⋊C4 | — | 244 | 1 | no | — |
| 605 | C4⋊C4 | — | 244 | 1 | no | — |
| 606 | C4⋊C4 | D4×D61 | 1 | 1 | yes | characteristic |
| 607 | C4⋊C4 | D4×D61 | 1 | 1 | yes | characteristic |
| 608 | C22⋊C4 | — | 2 | 1 | no | — |
| 609 | C22⋊C4 | — | 122 | 1 | no | — |
| 610 | C22⋊C4 | — | 244 | 1 | no | — |
| 611 | C22⋊C4 | — | 244 | 1 | no | — |
| 612 | C22⋊C4 | — | 244 | 1 | no | — |
| 613 | C22⋊C4 | — | 244 | 1 | no | — |
| 614 | C22⋊C4 | — | 244 | 1 | no | — |
| 615 | C22⋊C4 | — | 244 | 1 | no | — |
| 616 | C42 | — | 2 | 1 | no | — |
| 617 | C42 | — | 122 | 1 | no | — |
| 618 | C42 | — | 122 | 1 | no | — |
| 619 | C42 | — | 122 | 1 | no | — |
| 620 | C42 | — | 244 | 1 | no | — |
| 621 | C42 | — | 244 | 1 | no | — |
| 622 | C23 | — | 122 | 1 | no | — |
| 623 | C23 | — | 122 | 1 | no | — |
| 624 | C23 | #14519823 | 1 | 1 | yes | characteristic |
| 625 | Q8 | — | 4 | 1 | no | — |
| 626 | Q8 | — | 4 | 1 | no | — |
| 627 | Q8 | — | 4 | 1 | no | — |
| 628 | Q8 | — | 4 | 1 | no | — |
| 629 | Q8 | — | 61 | 2 | no | — |
| 630 | Q8 | — | 122 | 1 | no | — |
| 631 | Q8 | — | 122 | 1 | no | — |
| 632 | Q8 | — | 122 | 1 | no | — |
| 633 | Q8 | — | 244 | 1 | no | — |
| 634 | Q8 | — | 244 | 1 | no | — |
| 635 | Q8 | — | 244 | 1 | no | — |
| 636 | Q8 | — | 244 | 1 | no | — |
| 637 | D4 | — | 61 | 2 | no | — |
| 638 | D4 | — | 122 | 2 | no | — |
| 639 | D4 | — | 122 | 2 | no | — |
| 640 | D4 | — | 122 | 1 | no | — |
| 641 | D4 | — | 122 | 1 | no | — |
| 642 | D4 | — | 122 | 1 | no | — |
| 643 | D4 | — | 244 | 1 | no | — |
| 644 | D4 | — | 244 | 1 | no | — |
| 645 | C2×C4 | — | 2 | 1 | no | — |
| 646 | C2×C4 | — | 2 | 1 | no | — |
| 647 | C2×C4 | — | 4 | 1 | no | — |
| 648 | C2×C4 | — | 4 | 1 | no | — |
| 649 | C2×C4 | — | 4 | 1 | no | — |
| 650 | C2×C4 | — | 4 | 1 | no | — |
| 651 | C2×C4 | — | 8 | 1 | no | — |
| 652 | C2×C4 | — | 122 | 1 | no | — |
| 653 | C2×C4 | — | 122 | 2 | no | — |
| 654 | C2×C4 | — | 122 | 2 | no | — |
| 655 | C2×C4 | — | 122 | 1 | no | — |
| 656 | C2×C4 | — | 122 | 1 | no | — |
| 657 | C2×C4 | — | 122 | 1 | no | — |
| 658 | C2×C4 | — | 976 | 1 | no | — |
| 659 | C2×C4 | — | 976 | 1 | no | — |
| 660 | C2×C4 | — | 488 | 1 | no | — |
| 661 | C2×C4 | — | 244 | 1 | no | — |
| 662 | C2×C4 | — | 244 | 1 | no | — |
| 663 | C2×C4 | — | 244 | 1 | no | — |
| 664 | C2×C4 | — | 244 | 1 | no | — |
| 665 | C2×C4 | — | 244 | 1 | no | — |
| 666 | C2×C4 | — | 244 | 1 | no | — |
| 667 | C2×C4 | — | 244 | 1 | no | — |
| 668 | C2×C4 | — | 244 | 1 | no | — |
| 669 | C2×C4 | — | 244 | 1 | no | — |
| 670 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 671 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 672 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 673 | C2×C4 | #41×D61 | 1 | 1 | yes | characteristic |
| 674 | C2×C4 | #41×D61 | 1 | 1 | yes | characteristic |
| 675 | C2×C4 | #14519825 | 1 | 1 | yes | characteristic |
| 676 | C8 | — | 2 | 1 | no | — |
| 677 | C8 | — | 2 | 1 | no | — |
| 678 | C8 | — | 2 | 2 | no | — |
| 679 | C8 | — | 4 | 1 | no | — |
| 680 | C8 | — | 4 | 1 | no | — |
| 681 | C8 | — | 61 | 2 | no | — |
| 682 | C8 | — | 61 | 2 | no | — |
| 683 | C8 | — | 244 | 1 | no | — |
| 684 | C22 | — | 2 | 1 | no | — |
| 685 | C22 | — | 2 | 1 | no | — |
| 686 | C22 | — | 122 | 2 | no | — |
| 687 | C22 | — | 244 | 1 | no | — |
| 688 | C22 | — | 244 | 1 | no | — |
| 689 | C22 | — | 244 | 1 | no | — |
| 690 | C22 | — | 244 | 1 | no | — |
| 691 | C22 | — | 244 | 1 | no | — |
| 692 | C22 | #16840342 | 1 | 1 | yes | characteristic |
| 693 | C22 | #16840396 | 1 | 1 | yes | characteristic |
| 694 | C22 | #16840463 | 1 | 1 | yes | characteristic |
| 695 | C4 | — | 4 | 1 | no | — |
| 696 | C4 | — | 4 | 1 | no | — |
| 697 | C4 | — | 8 | 1 | no | — |
| 698 | C4 | — | 8 | 1 | no | — |
| 699 | C4 | — | 122 | 2 | no | — |
| 700 | C4 | — | 488 | 1 | no | — |
| 701 | C4 | — | 488 | 1 | no | — |
| 702 | C4 | — | 488 | 1 | no | — |
| 703 | C4 | — | 244 | 1 | no | — |
| 704 | C4 | — | 244 | 1 | no | — |
| 705 | C4 | — | 244 | 1 | no | — |
| 706 | C4 | #121×D61 | 1 | 1 | yes | characteristic |
| 707 | C4 | #121×D61 | 1 | 1 | yes | characteristic |
| 708 | C4 | #16840414 | 1 | 1 | yes | characteristic |
| 709 | C4 | #16840422 | 1 | 1 | yes | characteristic |
| 710 | C2 | — | 2 | 1 | no | — |
| 711 | C2 | — | 2 | 1 | no | — |
| 712 | C2 | — | 488 | 1 | no | — |
| 713 | C2 | — | 244 | 2 | no | — |
| 714 | C2 | #21449254 | 1 | 1 | yes | characteristic |
| 715 | C2 | #21457591 | 1 | 1 | yes | characteristic |
| 716 | C2 | #21457593 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta