| 1 | #11721813 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C4×C9×#67 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C3×(C2×D9)⋊C4 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11721285 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | D9×#217 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11721265 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11721245 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11721042 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11721032 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11720996 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11720989 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11720976 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11720974 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11720949 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11720947 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10594938 | — | 3 | 1 | no | maximal |
| 17 | #10589658 | — | 3 | 1 | no | maximal |
| 18 | C23×C3×D9 | C22 | 1 | 1 | yes | characteristic |
| 19 | C22×C3×C4×C9 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#6226 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×C9×#67 | C22 | 1 | 1 | yes | characteristic |
| 22 | C22×C3×Dic9 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C4×D3×C9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#6194 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#6194 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×Dic3×D9 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×Dic3×D9 | C22 | 1 | 1 | yes | characteristic |
| 28 | #88551 | C22 | 1 | 1 | yes | characteristic |
| 29 | #88551 | C22 | 1 | 1 | yes | characteristic |
| 30 | C4⋊(C3⋊Dic9) | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #88534 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #88534 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C9×#217 | C22 | 1 | 1 | yes | characteristic |
| 34 | C9×(C2×D3)⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C3×(C2×D9)⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 36 | C3×(C2×D9)⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 37 | C3×(C2×D9)⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 38 | C3×(C2×D9)⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 39 | C9×Dic3⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C4×C9×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | (C2×D3)⋊Dic9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | (C2×D3)⋊Dic9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | (C2×D9)⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 44 | (C2×D9)⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 45 | (C2×D9)⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 46 | (C2×D9)⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 47 | #88442 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #88442 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | Dic9⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | Dic9⋊Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | Dic3×Dic9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | Dic3×Dic9 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #64133 | — | 3 | 1 | no | — |
| 54 | C3×C4×#67 | D3 | 1 | 1 | yes | characteristic |
| 55 | C2×C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 56 | #63976 | — | 3 | 1 | no | — |
| 57 | D3×#217 | — | 3 | 1 | no | — |
| 58 | #63961 | — | 3 | 1 | no | — |
| 59 | #63955 | — | 3 | 1 | no | — |
| 60 | #63913 | — | 3 | 1 | no | — |
| 61 | #63905 | — | 3 | 1 | no | — |
| 62 | #63896 | — | 3 | 1 | no | — |
| 63 | #63891 | — | 3 | 1 | no | — |
| 64 | #63879 | — | 3 | 1 | no | — |
| 65 | #63877 | — | 3 | 1 | no | — |
| 66 | #63861 | — | 3 | 1 | no | — |
| 67 | #63859 | — | 3 | 1 | no | — |
| 68 | C4×D4×C9 | — | 3 | 1 | no | — |
| 69 | #63499 | — | 3 | 1 | no | — |
| 70 | #63497 | — | 3 | 1 | no | — |
| 71 | #63491 | — | 3 | 1 | no | — |
| 72 | C4×#611 | — | 3 | 1 | no | — |
| 73 | C2×(C2×D9)⋊C4 | D3 | 1 | 1 | yes | characteristic, complemented |
| 74 | #63486 | — | 3 | 1 | no | — |
| 75 | #63486 | — | 6 | 1 | no | — |
| 76 | #63460 | — | 3 | 1 | no | — |
| 77 | #63458 | — | 3 | 1 | no | — |
| 78 | #63447 | — | 3 | 1 | no | — |
| 79 | #63445 | — | 3 | 1 | no | — |
| 80 | C22⋊C4×D9 | — | 3 | 1 | no | — |
| 81 | #63439 | — | 3 | 1 | no | — |
| 82 | #63438 | — | 3 | 1 | no | — |
| 83 | #63434 | — | 3 | 1 | no | — |
| 84 | C23×C3×C9 | C23 | 1 | 1 | yes | characteristic |
| 85 | C22×D3×C9 | C23 | 1 | 1 | yes | characteristic |
| 86 | C22×C3×D9 | — | 2 | 2 | no | — |
| 87 | C22×C3×D9 | — | 2 | 2 | no | — |
| 88 | C22×C3×D9 | — | 4 | 1 | no | — |
| 89 | C22×C3×D9 | C23 | 1 | 1 | yes | characteristic |
| 90 | C22×C3×D9 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C3×C4×C9 | — | 4 | 1 | no | — |
| 92 | C2×C3×C4×C9 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C3×C4×C9 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×C3⋊Dic9 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×C3⋊Dic9 | C23 | 1 | 1 | yes | characteristic |
| 96 | C2×C3⋊Dic9 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×C3⋊Dic9 | C23 | 1 | 1 | yes | characteristic |
| 98 | #6226 | — | 4 | 1 | no | — |
| 99 | C9×#67 | — | 2 | 2 | no | — |
| 100 | C2×C9×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×C9×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×C9×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×C3×Dic9 | — | 2 | 2 | no | — |
| 104 | C2×C3×Dic9 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×C3×Dic9 | C23 | 1 | 1 | yes | characteristic |
| 106 | C4×D3×C9 | — | 4 | 1 | no | — |
| 107 | #6194 | — | 2 | 2 | no | — |
| 108 | #6194 | — | 4 | 1 | no | — |
| 109 | Dic3×D9 | — | 2 | 2 | no | — |
| 110 | Dic3×D9 | — | 4 | 1 | no | — |
| 111 | #5556 | — | 9 | 1 | no | — |
| 112 | #5495 | — | 9 | 1 | no | — |
| 113 | C23×C3×D3 | — | 3 | 1 | no | — |
| 114 | C22×C32×C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 115 | C2×#634 | — | 3 | 1 | no | — |
| 116 | C2×C3×#67 | C2×D3 | 1 | 1 | yes | characteristic |
| 117 | C22×C3×Dic3 | — | 3 | 1 | no | — |
| 118 | C2×C3×C4×D3 | C2×D3 | 1 | 1 | yes | characteristic |
| 119 | C2×#625 | — | 3 | 1 | no | — |
| 120 | C2×#625 | — | 3 | 1 | no | — |
| 121 | C2×D3×Dic3 | — | 3 | 1 | no | — |
| 122 | C2×D3×Dic3 | — | 3 | 1 | no | — |
| 123 | C23×D9 | C2×D3 | 1 | 1 | yes | characteristic |
| 124 | #3757 | — | 3 | 1 | no | — |
| 125 | #3757 | — | 3 | 1 | no | — |
| 126 | C4⋊(C3⋊Dic3) | — | 3 | 1 | no | — |
| 127 | #3750 | — | 3 | 1 | no | — |
| 128 | #3750 | — | 3 | 1 | no | — |
| 129 | C3×#217 | C2×D3 | 1 | 1 | yes | characteristic |
| 130 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 131 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 132 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 133 | C3×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 134 | C3×(C2×D3)⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 135 | C3×Dic3⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 136 | C3×C4×Dic3 | C2×D3 | 1 | 1 | yes | characteristic |
| 137 | #3724 | — | 3 | 1 | no | — |
| 138 | #3724 | — | 3 | 1 | no | — |
| 139 | Dic3⋊Dic3 | — | 3 | 1 | no | — |
| 140 | Dic3⋊Dic3 | — | 3 | 1 | no | — |
| 141 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 142 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 143 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 144 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 145 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 146 | (C2×D3)⋊Dic3 | — | 3 | 1 | no | — |
| 147 | Dic32 | — | 3 | 1 | no | — |
| 148 | Dic32 | — | 3 | 1 | no | — |
| 149 | C2×D4×C9 | — | 3 | 1 | no | — |
| 150 | C22×C4×C9 | — | 2 | 1 | no | — |
| 151 | C22×C4×C9 | — | 3 | 1 | no | — |
| 152 | C22×C4×C9 | C2×D3 | 1 | 1 | yes | characteristic |
| 153 | C2×#611 | — | 3 | 1 | no | — |
| 154 | C2×#611 | — | 3 | 1 | no | — |
| 155 | C22×Dic9 | C2×D3 | 1 | 1 | yes | characteristic |
| 156 | C2×C4×D9 | — | 3 | 1 | no | — |
| 157 | C2×C4×D9 | — | 3 | 1 | no | — |
| 158 | C2×Dic18 | — | 3 | 1 | no | — |
| 159 | C2×Dic18 | — | 6 | 1 | no | — |
| 160 | C9×C4⋊C4 | — | 3 | 1 | no | — |
| 161 | C9×C22⋊C4 | — | 3 | 1 | no | — |
| 162 | C9×C22⋊C4 | — | 3 | 1 | no | — |
| 163 | C42×C9 | — | 3 | 1 | no | — |
| 164 | #3676 | — | 3 | 1 | no | — |
| 165 | #3676 | — | 3 | 1 | no | — |
| 166 | #3676 | — | 3 | 1 | no | — |
| 167 | #3676 | — | 3 | 1 | no | — |
| 168 | #3676 | — | 6 | 1 | no | — |
| 169 | #3676 | — | 6 | 1 | no | — |
| 170 | (C2×D9)⋊C4 | — | 3 | 1 | no | — |
| 171 | (C2×D9)⋊C4 | — | 3 | 1 | no | — |
| 172 | (C2×D9)⋊C4 | — | 3 | 1 | no | — |
| 173 | (C2×D9)⋊C4 | — | 3 | 1 | no | — |
| 174 | (C2×D9)⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 175 | (C2×D9)⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 176 | (C2×D9)⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 177 | (C2×D9)⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 178 | C4⋊Dic9 | — | 3 | 1 | no | — |
| 179 | C4⋊Dic9 | — | 6 | 1 | no | — |
| 180 | Dic9⋊C4 | — | 3 | 1 | no | — |
| 181 | Dic9⋊C4 | — | 3 | 1 | no | — |
| 182 | Dic9⋊C4 | — | 3 | 1 | no | — |
| 183 | Dic9⋊C4 | — | 3 | 1 | no | — |
| 184 | Dic9⋊C4 | — | 3 | 1 | no | — |
| 185 | Dic9⋊C4 | — | 3 | 1 | no | — |
| 186 | Dic9⋊C4 | — | 6 | 1 | no | — |
| 187 | Dic9⋊C4 | — | 6 | 1 | no | — |
| 188 | C4×Dic9 | — | 3 | 1 | no | — |
| 189 | C4×Dic9 | — | 3 | 1 | no | — |
| 190 | C22×C3×C9 | — | 2 | 1 | no | — |
| 191 | C22×C3×C9 | — | 2 | 1 | no | — |
| 192 | C22×C3×C9 | #41 | 1 | 2 | yes | — |
| 193 | C22×C3×C9 | C24 | 1 | 1 | yes | characteristic |
| 194 | C2×D3×C9 | — | 2 | 1 | no | — |
| 195 | C2×D3×C9 | — | 2 | 1 | no | — |
| 196 | C2×D3×C9 | — | 2 | 1 | no | — |
| 197 | C2×C3×D9 | — | 2 | 1 | no | — |
| 198 | C2×C3×D9 | — | 2 | 1 | no | — |
| 199 | C2×C3×D9 | — | 2 | 1 | no | — |
| 200 | C2×C3×D9 | — | 2 | 1 | no | — |
| 201 | C2×C3×D9 | — | 2 | 1 | no | — |
| 202 | C2×C3×D9 | — | 4 | 4 | no | — |
| 203 | C2×C3×D9 | #41 | 1 | 2 | yes | — |
| 204 | C3×C4×C9 | — | 2 | 1 | no | — |
| 205 | C3×C4×C9 | — | 2 | 1 | no | — |
| 206 | C3⋊Dic9 | — | 2 | 1 | no | — |
| 207 | C3⋊Dic9 | — | 2 | 1 | no | — |
| 208 | C3⋊Dic9 | — | 2 | 1 | no | — |
| 209 | C3⋊Dic9 | — | 2 | 1 | no | — |
| 210 | C9×Dic3 | — | 2 | 1 | no | — |
| 211 | C9×Dic3 | — | 2 | 1 | no | — |
| 212 | C9×Dic3 | — | 2 | 1 | no | — |
| 213 | C3×Dic9 | — | 2 | 1 | no | — |
| 214 | C3×Dic9 | — | 2 | 1 | no | — |
| 215 | C3×C4×D4 | — | 3 | 1 | no | — |
| 216 | C2×C3×C22⋊C4 | — | 9 | 1 | no | — |
| 217 | #953 | — | 9 | 1 | no | — |
| 218 | C2×#217 | — | 9 | 1 | no | — |
| 219 | #937 | — | 9 | 1 | no | — |
| 220 | #935 | — | 9 | 1 | no | — |
| 221 | #929 | — | 9 | 1 | no | — |
| 222 | #929 | — | 9 | 1 | no | — |
| 223 | C4×#67 | — | 9 | 1 | no | — |
| 224 | C4×#67 | D9 | 1 | 1 | yes | characteristic, complemented |
| 225 | C2×(C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 226 | #926 | — | 9 | 1 | no | — |
| 227 | #924 | — | 9 | 1 | no | — |
| 228 | #924 | — | 9 | 1 | no | — |
| 229 | #924 | — | 18 | 1 | no | — |
| 230 | #898 | — | 9 | 1 | no | — |
| 231 | #896 | — | 9 | 1 | no | — |
| 232 | #886 | — | 9 | 1 | no | — |
| 233 | #885 | — | 9 | 1 | no | — |
| 234 | #885 | — | 9 | 1 | no | — |
| 235 | #883 | — | 9 | 1 | no | — |
| 236 | #883 | — | 9 | 1 | no | — |
| 237 | #67⋊C4 | — | 9 | 1 | no | — |
| 238 | D3×C22⋊C4 | — | 9 | 1 | no | — |
| 239 | #879 | — | 9 | 1 | no | — |
| 240 | #879 | — | 9 | 1 | no | — |
| 241 | #878 | — | 9 | 1 | no | — |
| 242 | #877 | — | 9 | 1 | no | — |
| 243 | #877 | — | 9 | 1 | no | — |
| 244 | #876 | — | 9 | 1 | no | — |
| 245 | #872 | — | 9 | 1 | no | — |
| 246 | C23×C32 | C22×D3 | 1 | 1 | yes | characteristic |
| 247 | C22×C3×D3 | — | 3 | 1 | no | — |
| 248 | C22×C3×D3 | — | 3 | 1 | no | — |
| 249 | C22×C3×D3 | — | 6 | 2 | no | — |
| 250 | C22×C3×D3 | — | 6 | 2 | no | — |
| 251 | C22×C3×D3 | — | 12 | 1 | no | — |
| 252 | C22×C3×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 253 | C2×C32×C4 | — | 4 | 1 | no | — |
| 254 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 255 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 256 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 257 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 258 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 259 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 260 | #634 | — | 12 | 1 | no | — |
| 261 | C3×#67 | — | 2 | 2 | no | — |
| 262 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 263 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 264 | C2×C3×Dic3 | — | 6 | 2 | no | — |
| 265 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 266 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 267 | C2×C3×Dic3 | C22×D3 | 1 | 1 | yes | characteristic |
| 268 | C3×C4×D3 | — | 4 | 1 | no | — |
| 269 | #625 | — | 6 | 2 | no | — |
| 270 | #625 | — | 12 | 1 | no | — |
| 271 | D3×Dic3 | — | 6 | 2 | no | — |
| 272 | D3×Dic3 | — | 12 | 1 | no | — |
| 273 | C23×C9 | — | 2 | 1 | no | — |
| 274 | C23×C9 | — | 3 | 1 | no | — |
| 275 | C23×C9 | C22×D3 | 1 | 1 | yes | characteristic |
| 276 | C22×D9 | — | 2 | 2 | no | — |
| 277 | C22×D9 | — | 2 | 2 | no | — |
| 278 | C22×D9 | — | 4 | 1 | no | — |
| 279 | C22×D9 | C22×D3 | 1 | 1 | yes | characteristic |
| 280 | C22×D9 | C22×D3 | 1 | 1 | yes | characteristic |
| 281 | D4×C9 | — | 6 | 2 | no | — |
| 282 | C2×C4×C9 | — | 2 | 1 | no | — |
| 283 | C2×C4×C9 | — | 2 | 1 | no | — |
| 284 | C2×C4×C9 | — | 3 | 1 | no | — |
| 285 | C2×C4×C9 | — | 3 | 1 | no | — |
| 286 | C2×C4×C9 | — | 3 | 1 | no | — |
| 287 | C2×C4×C9 | — | 4 | 1 | no | — |
| 288 | C2×C4×C9 | — | 4 | 2 | no | — |
| 289 | C2×C4×C9 | — | 12 | 1 | no | — |
| 290 | C2×C4×C9 | C22×D3 | 1 | 1 | yes | characteristic |
| 291 | C2×C4×C9 | C22×D3 | 1 | 1 | yes | characteristic |
| 292 | #611 | — | 6 | 2 | no | — |
| 293 | #611 | — | 12 | 1 | no | — |
| 294 | C2×Dic9 | — | 2 | 2 | no | — |
| 295 | C2×Dic9 | — | 3 | 1 | no | — |
| 296 | C2×Dic9 | — | 3 | 1 | no | — |
| 297 | C2×Dic9 | — | 3 | 1 | no | — |
| 298 | C2×Dic9 | — | 3 | 1 | no | — |
| 299 | C2×Dic9 | — | 6 | 1 | no | — |
| 300 | C2×Dic9 | — | 6 | 1 | no | — |
| 301 | C2×Dic9 | — | 6 | 1 | no | — |
| 302 | C2×Dic9 | — | 6 | 1 | no | — |
| 303 | C2×Dic9 | C22×D3 | 1 | 1 | yes | characteristic |
| 304 | C2×Dic9 | C22×D3 | 1 | 1 | yes | characteristic |
| 305 | C4×D9 | — | 6 | 2 | no | — |
| 306 | C4×D9 | — | 12 | 1 | no | — |
| 307 | Dic18 | — | 12 | 1 | no | — |
| 308 | Dic18 | — | 12 | 2 | no | — |
| 309 | #551 | — | 27 | 1 | no | Sylow |
| 310 | C2×C3×C9 | — | 2 | 2 | no | — |
| 311 | C2×C3×C9 | C2×#41 | 1 | 1 | yes | characteristic |
| 312 | C2×C3×C9 | C2×#41 | 1 | 1 | yes | characteristic |
| 313 | C2×C3×C9 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 314 | D3×C9 | — | 4 | 1 | no | — |
| 315 | C3×D9 | — | 2 | 2 | no | — |
| 316 | C3×D9 | — | 4 | 1 | no | — |
| 317 | C24×C3 | — | 9 | 1 | no | — |
| 318 | C23×D3 | — | 3 | 1 | no | — |
| 319 | C2×C3×D4 | — | 3 | 1 | no | — |
| 320 | C22×C3×C4 | — | 2 | 1 | no | — |
| 321 | C22×C3×C4 | — | 3 | 1 | no | — |
| 322 | C22×C3×C4 | — | 9 | 1 | no | — |
| 323 | C22×C3×C4 | C2×D9 | 1 | 1 | yes | characteristic |
| 324 | C22×C3×C4 | D32 | 1 | 1 | yes | characteristic |
| 325 | C2×#67 | — | 9 | 1 | no | — |
| 326 | C2×#67 | — | 9 | 1 | no | — |
| 327 | C2×#67 | — | 9 | 1 | no | — |
| 328 | C2×#67 | — | 9 | 1 | no | — |
| 329 | C2×#67 | C2×D9 | 1 | 1 | yes | characteristic |
| 330 | C22×Dic3 | — | 3 | 1 | no | — |
| 331 | C22×Dic3 | — | 9 | 1 | no | — |
| 332 | C22×Dic3 | — | 9 | 1 | no | — |
| 333 | C2×C4×D3 | — | 9 | 1 | no | — |
| 334 | C2×C4×D3 | — | 9 | 1 | no | — |
| 335 | C2×C4×D3 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 336 | C2×Dic6 | — | 9 | 1 | no | — |
| 337 | C2×Dic6 | — | 9 | 1 | no | — |
| 338 | C2×Dic6 | — | 18 | 1 | no | — |
| 339 | C3×C4⋊C4 | — | 3 | 1 | no | — |
| 340 | C3×C22⋊C4 | — | 3 | 1 | no | — |
| 341 | C3×C22⋊C4 | — | 3 | 1 | no | — |
| 342 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 343 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 344 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 345 | C3×C22⋊C4 | — | 9 | 1 | no | — |
| 346 | C3×C42 | — | 3 | 1 | no | — |
| 347 | #217 | — | 9 | 1 | no | — |
| 348 | #217 | — | 9 | 1 | no | — |
| 349 | #217 | — | 9 | 1 | no | — |
| 350 | #217 | — | 9 | 1 | no | — |
| 351 | #217 | — | 9 | 1 | no | — |
| 352 | #217 | — | 9 | 1 | no | — |
| 353 | #217 | — | 9 | 1 | no | — |
| 354 | #217 | — | 9 | 1 | no | — |
| 355 | #217 | — | 9 | 1 | no | — |
| 356 | #217 | — | 9 | 1 | no | — |
| 357 | #217 | — | 18 | 1 | no | — |
| 358 | #217 | — | 18 | 1 | no | — |
| 359 | #217 | C2×D9 | 1 | 1 | yes | characteristic |
| 360 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 361 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 362 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 363 | (C2×D3)⋊C4 | — | 3 | 1 | no | — |
| 364 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 365 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 366 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 367 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 368 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 369 | (C2×D3)⋊C4 | — | 9 | 1 | no | — |
| 370 | (C2×D3)⋊C4 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 371 | C4⋊Dic3 | — | 9 | 1 | no | — |
| 372 | C4⋊Dic3 | — | 9 | 1 | no | — |
| 373 | C4⋊Dic3 | — | 9 | 1 | no | — |
| 374 | C4⋊Dic3 | — | 9 | 1 | no | — |
| 375 | C4⋊Dic3 | — | 18 | 1 | no | — |
| 376 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 377 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 378 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 379 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 380 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 381 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 382 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 383 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 384 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 385 | Dic3⋊C4 | — | 9 | 1 | no | — |
| 386 | Dic3⋊C4 | — | 18 | 1 | no | — |
| 387 | Dic3⋊C4 | — | 18 | 1 | no | — |
| 388 | Dic3⋊C4 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 389 | C4×Dic3 | — | 9 | 1 | no | — |
| 390 | C4×Dic3 | — | 9 | 1 | no | — |
| 391 | C4×Dic3 | — | 9 | 1 | no | — |
| 392 | C4×Dic3 | — | 9 | 1 | no | — |
| 393 | C4×Dic3 | C2×D9 | 1 | 1 | yes | characteristic, complemented |
| 394 | C22×C32 | — | 2 | 1 | no | — |
| 395 | C22×C32 | — | 2 | 1 | no | — |
| 396 | C22×C32 | #235 | 1 | 2 | yes | — |
| 397 | C22×C32 | C23×D3 | 1 | 1 | yes | characteristic |
| 398 | C2×C3×D3 | — | 2 | 1 | no | — |
| 399 | C2×C3×D3 | — | 2 | 1 | no | — |
| 400 | C2×C3×D3 | — | 2 | 1 | no | — |
| 401 | C2×C3×D3 | — | 3 | 2 | no | — |
| 402 | C2×C3×D3 | — | 6 | 1 | no | — |
| 403 | C2×C3×D3 | — | 6 | 1 | no | — |
| 404 | C2×C3×D3 | — | 6 | 1 | no | — |
| 405 | C2×C3×D3 | — | 6 | 1 | no | — |
| 406 | C2×C3×D3 | — | 6 | 1 | no | — |
| 407 | C2×C3×D3 | — | 12 | 4 | no | — |
| 408 | C32×C4 | — | 2 | 1 | no | — |
| 409 | C32×C4 | — | 2 | 1 | no | — |
| 410 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 411 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 412 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 413 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 414 | C3×Dic3 | — | 2 | 1 | no | — |
| 415 | C3×Dic3 | — | 2 | 1 | no | — |
| 416 | C3×Dic3 | — | 2 | 1 | no | — |
| 417 | C3×Dic3 | — | 6 | 1 | no | — |
| 418 | C3×Dic3 | — | 6 | 1 | no | — |
| 419 | C22×C9 | — | 2 | 1 | no | — |
| 420 | C22×C9 | — | 2 | 1 | no | — |
| 421 | C22×C9 | — | 2 | 1 | no | — |
| 422 | C22×C9 | — | 2 | 2 | no | — |
| 423 | C22×C9 | — | 4 | 1 | no | — |
| 424 | C22×C9 | — | 4 | 1 | no | — |
| 425 | C22×C9 | — | 6 | 1 | no | — |
| 426 | C22×C9 | — | 6 | 1 | no | — |
| 427 | C22×C9 | — | 6 | 1 | no | — |
| 428 | C22×C9 | #237 | 1 | 2 | yes | — |
| 429 | C22×C9 | C23×D3 | 1 | 1 | yes | characteristic |
| 430 | C2×D9 | — | 2 | 1 | no | — |
| 431 | C2×D9 | — | 2 | 1 | no | — |
| 432 | C2×D9 | — | 2 | 1 | no | — |
| 433 | C2×D9 | — | 2 | 1 | no | — |
| 434 | C2×D9 | — | 2 | 1 | no | — |
| 435 | C2×D9 | — | 4 | 4 | no | — |
| 436 | C2×D9 | #235 | 1 | 2 | yes | — |
| 437 | C4×C9 | — | 2 | 2 | no | — |
| 438 | C4×C9 | — | 2 | 1 | no | — |
| 439 | C4×C9 | — | 2 | 1 | no | — |
| 440 | C4×C9 | — | 4 | 1 | no | — |
| 441 | C4×C9 | — | 6 | 1 | no | — |
| 442 | C4×C9 | — | 6 | 1 | no | — |
| 443 | C4×C9 | — | 6 | 1 | no | — |
| 444 | Dic9 | — | 2 | 1 | no | — |
| 445 | Dic9 | — | 2 | 1 | no | — |
| 446 | Dic9 | — | 6 | 1 | no | — |
| 447 | Dic9 | — | 6 | 1 | no | — |
| 448 | Dic9 | — | 6 | 1 | no | — |
| 449 | Dic9 | — | 6 | 1 | no | — |
| 450 | Dic9 | — | 12 | 1 | no | — |
| 451 | Dic9 | — | 12 | 1 | no | — |
| 452 | Dic9 | — | 12 | 1 | no | — |
| 453 | Dic9 | — | 12 | 1 | no | — |
| 454 | #126 | — | 27 | 1 | no | — |
| 455 | #126 | — | 27 | 1 | no | — |
| 456 | #124 | — | 27 | 1 | no | — |
| 457 | #123 | — | 27 | 1 | no | — |
| 458 | #123 | — | 27 | 1 | no | — |
| 459 | #123 | — | 27 | 1 | no | — |
| 460 | C22⋊Q8 | — | 27 | 1 | no | — |
| 461 | C22⋊Q8 | — | 27 | 1 | no | — |
| 462 | #120 | — | 27 | 1 | no | — |
| 463 | C4×D4 | — | 3 | 1 | no | — |
| 464 | C4×D4 | — | 27 | 1 | no | — |
| 465 | #117 | — | 27 | 1 | no | — |
| 466 | #117 | — | 27 | 1 | no | — |
| 467 | C2×C22⋊C4 | — | 9 | 1 | no | — |
| 468 | C2×C22⋊C4 | — | 27 | 1 | no | — |
| 469 | C3×C9 | #551 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 470 | C23×C3 | — | 2 | 1 | no | — |
| 471 | C23×C3 | — | 3 | 1 | no | — |
| 472 | C23×C3 | — | 9 | 1 | no | — |
| 473 | C23×C3 | — | 9 | 1 | no | — |
| 474 | C23×C3 | — | 18 | 2 | no | — |
| 475 | C23×C3 | — | 18 | 2 | no | — |
| 476 | C23×C3 | — | 36 | 1 | no | — |
| 477 | C23×C3 | C22×D9 | 1 | 1 | yes | characteristic |
| 478 | C23×C3 | C2×D32 | 1 | 1 | yes | characteristic |
| 479 | C22×D3 | — | 3 | 1 | no | — |
| 480 | C22×D3 | — | 3 | 1 | no | — |
| 481 | C22×D3 | — | 6 | 2 | no | — |
| 482 | C22×D3 | — | 6 | 2 | no | — |
| 483 | C22×D3 | — | 12 | 1 | no | — |
| 484 | C22×D3 | C22×D9 | 1 | 1 | yes | characteristic |
| 485 | C3×D4 | — | 6 | 2 | no | — |
| 486 | C2×C3×C4 | — | 2 | 1 | no | — |
| 487 | C2×C3×C4 | — | 2 | 1 | no | — |
| 488 | C2×C3×C4 | — | 3 | 1 | no | — |
| 489 | C2×C3×C4 | — | 3 | 1 | no | — |
| 490 | C2×C3×C4 | — | 3 | 1 | no | — |
| 491 | C2×C3×C4 | — | 4 | 1 | no | — |
| 492 | C2×C3×C4 | — | 4 | 1 | no | — |
| 493 | C2×C3×C4 | — | 4 | 2 | no | — |
| 494 | C2×C3×C4 | — | 9 | 1 | no | — |
| 495 | C2×C3×C4 | — | 9 | 1 | no | — |
| 496 | C2×C3×C4 | — | 12 | 1 | no | — |
| 497 | C2×C3×C4 | — | 18 | 2 | no | — |
| 498 | C2×C3×C4 | C22×D9 | 1 | 1 | yes | characteristic |
| 499 | C2×C3×C4 | C22×D9 | 1 | 1 | yes | characteristic |
| 500 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 501 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 502 | #67 | — | 2 | 2 | no | — |
| 503 | #67 | — | 18 | 2 | no | — |
| 504 | #67 | — | 18 | 2 | no | — |
| 505 | #67 | — | 36 | 1 | no | — |
| 506 | #67 | — | 36 | 1 | no | — |
| 507 | C2×Dic3 | — | 3 | 1 | no | — |
| 508 | C2×Dic3 | — | 3 | 1 | no | — |
| 509 | C2×Dic3 | — | 6 | 2 | no | — |
| 510 | C2×Dic3 | — | 9 | 1 | no | — |
| 511 | C2×Dic3 | — | 9 | 1 | no | — |
| 512 | C2×Dic3 | — | 9 | 1 | no | — |
| 513 | C2×Dic3 | — | 9 | 1 | no | — |
| 514 | C2×Dic3 | — | 9 | 1 | no | — |
| 515 | C2×Dic3 | — | 9 | 1 | no | — |
| 516 | C2×Dic3 | — | 9 | 1 | no | — |
| 517 | C2×Dic3 | — | 9 | 1 | no | — |
| 518 | C2×Dic3 | — | 18 | 1 | no | — |
| 519 | C2×Dic3 | — | 18 | 1 | no | — |
| 520 | C2×Dic3 | — | 18 | 1 | no | — |
| 521 | C2×Dic3 | — | 18 | 1 | no | — |
| 522 | C2×Dic3 | — | 18 | 2 | no | — |
| 523 | C2×Dic3 | — | 36 | 1 | no | — |
| 524 | C2×Dic3 | C22×D9 | 1 | 1 | yes | characteristic |
| 525 | C2×Dic3 | C22×D9 | 1 | 1 | yes | characteristic |
| 526 | C2×Dic3 | C22×D9 | 1 | 1 | yes | characteristic |
| 527 | C4×D3 | — | 4 | 1 | no | — |
| 528 | C4×D3 | — | 18 | 2 | no | — |
| 529 | C4×D3 | — | 36 | 1 | no | — |
| 530 | Dic6 | — | 36 | 1 | no | — |
| 531 | Dic6 | — | 36 | 1 | no | — |
| 532 | Dic6 | — | 36 | 2 | no | — |
| 533 | C2×C32 | — | 2 | 2 | no | — |
| 534 | C2×C32 | C2×#235 | 1 | 1 | yes | characteristic |
| 535 | C2×C32 | #1004 | 1 | 1 | yes | characteristic |
| 536 | C2×C32 | D3×#41 | 1 | 1 | yes | characteristic |
| 537 | C3×D3 | — | 4 | 1 | no | — |
| 538 | C3×D3 | — | 6 | 2 | no | — |
| 539 | C3×D3 | — | 12 | 1 | no | — |
| 540 | C2×C9 | — | 2 | 2 | no | — |
| 541 | C2×C9 | — | 2 | 1 | no | — |
| 542 | C2×C9 | — | 2 | 1 | no | — |
| 543 | C2×C9 | — | 2 | 1 | no | — |
| 544 | C2×C9 | — | 4 | 2 | no | — |
| 545 | C2×C9 | — | 12 | 1 | no | — |
| 546 | C2×C9 | C2×#235 | 1 | 1 | yes | characteristic |
| 547 | C2×C9 | C2×#237 | 1 | 1 | yes | characteristic |
| 548 | C2×C9 | #1004 | 1 | 1 | yes | characteristic |
| 549 | D9 | — | 2 | 2 | no | — |
| 550 | D9 | — | 4 | 1 | no | — |
| 551 | C24 | — | 9 | 1 | no | — |
| 552 | C2×Q8 | — | 27 | 1 | no | — |
| 553 | C2×D4 | — | 3 | 1 | no | — |
| 554 | C2×D4 | — | 27 | 1 | no | — |
| 555 | C2×D4 | — | 27 | 1 | no | — |
| 556 | C22×C4 | — | 3 | 1 | no | — |
| 557 | C22×C4 | — | 9 | 1 | no | — |
| 558 | C22×C4 | — | 27 | 1 | no | — |
| 559 | C22×C4 | — | 27 | 1 | no | — |
| 560 | C22×C4 | D3×D9 | 1 | 1 | yes | characteristic |
| 561 | C4⋊C4 | — | 3 | 1 | no | — |
| 562 | C4⋊C4 | — | 27 | 1 | no | — |
| 563 | C4⋊C4 | — | 27 | 1 | no | — |
| 564 | C4⋊C4 | — | 27 | 1 | no | — |
| 565 | C4⋊C4 | — | 27 | 1 | no | — |
| 566 | C4⋊C4 | — | 27 | 1 | no | — |
| 567 | C4⋊C4 | — | 27 | 1 | no | — |
| 568 | C4⋊C4 | — | 27 | 1 | no | — |
| 569 | C22⋊C4 | — | 3 | 1 | no | — |
| 570 | C22⋊C4 | — | 3 | 1 | no | — |
| 571 | C22⋊C4 | — | 9 | 1 | no | — |
| 572 | C22⋊C4 | — | 9 | 1 | no | — |
| 573 | C22⋊C4 | — | 9 | 1 | no | — |
| 574 | C22⋊C4 | — | 9 | 1 | no | — |
| 575 | C22⋊C4 | — | 27 | 1 | no | — |
| 576 | C22⋊C4 | — | 27 | 1 | no | — |
| 577 | C22⋊C4 | — | 27 | 1 | no | — |
| 578 | C22⋊C4 | — | 27 | 1 | no | — |
| 579 | C22⋊C4 | — | 27 | 1 | no | — |
| 580 | C22⋊C4 | — | 27 | 1 | no | — |
| 581 | C22⋊C4 | — | 27 | 1 | no | — |
| 582 | C22⋊C4 | — | 27 | 1 | no | — |
| 583 | C42 | — | 3 | 1 | no | — |
| 584 | C42 | — | 27 | 1 | no | — |
| 585 | C42 | — | 27 | 1 | no | — |
| 586 | C22×C3 | — | 2 | 1 | no | — |
| 587 | C22×C3 | — | 2 | 1 | no | — |
| 588 | C22×C3 | — | 2 | 1 | no | — |
| 589 | C22×C3 | — | 2 | 1 | no | — |
| 590 | C22×C3 | — | 2 | 2 | no | — |
| 591 | C22×C3 | — | 2 | 1 | no | — |
| 592 | C22×C3 | — | 4 | 1 | no | — |
| 593 | C22×C3 | — | 4 | 1 | no | — |
| 594 | C22×C3 | — | 6 | 1 | no | — |
| 595 | C22×C3 | — | 6 | 1 | no | — |
| 596 | C22×C3 | — | 6 | 1 | no | — |
| 597 | C22×C3 | — | 9 | 2 | no | — |
| 598 | C22×C3 | — | 18 | 1 | no | — |
| 599 | C22×C3 | — | 18 | 1 | no | — |
| 600 | C22×C3 | — | 18 | 1 | no | — |
| 601 | C22×C3 | — | 18 | 1 | no | — |
| 602 | C22×C3 | — | 18 | 1 | no | — |
| 603 | C22×C3 | — | 36 | 4 | no | — |
| 604 | C22×C3 | #3697 | 1 | 2 | yes | — |
| 605 | C22×C3 | C23×D9 | 1 | 1 | yes | characteristic |
| 606 | C22×C3 | #3795 | 1 | 2 | yes | — |
| 607 | C22×C3 | C22×D32 | 1 | 1 | yes | characteristic |
| 608 | C2×D3 | — | 2 | 1 | no | — |
| 609 | C2×D3 | — | 2 | 1 | no | — |
| 610 | C2×D3 | — | 2 | 1 | no | — |
| 611 | C2×D3 | — | 3 | 2 | no | — |
| 612 | C2×D3 | — | 6 | 1 | no | — |
| 613 | C2×D3 | — | 6 | 1 | no | — |
| 614 | C2×D3 | — | 6 | 1 | no | — |
| 615 | C2×D3 | — | 6 | 1 | no | — |
| 616 | C2×D3 | — | 6 | 1 | no | — |
| 617 | C2×D3 | — | 12 | 4 | no | — |
| 618 | C3×C4 | — | 2 | 2 | no | — |
| 619 | C3×C4 | — | 2 | 1 | no | — |
| 620 | C3×C4 | — | 2 | 1 | no | — |
| 621 | C3×C4 | — | 2 | 1 | no | — |
| 622 | C3×C4 | — | 2 | 1 | no | — |
| 623 | C3×C4 | — | 4 | 1 | no | — |
| 624 | C3×C4 | — | 6 | 1 | no | — |
| 625 | C3×C4 | — | 6 | 1 | no | — |
| 626 | C3×C4 | — | 6 | 1 | no | — |
| 627 | C3×C4 | — | 18 | 1 | no | — |
| 628 | C3×C4 | — | 18 | 1 | no | — |
| 629 | Dic3 | — | 2 | 1 | no | — |
| 630 | Dic3 | — | 2 | 1 | no | — |
| 631 | Dic3 | — | 2 | 1 | no | — |
| 632 | Dic3 | — | 6 | 1 | no | — |
| 633 | Dic3 | — | 6 | 1 | no | — |
| 634 | Dic3 | — | 18 | 1 | no | — |
| 635 | Dic3 | — | 18 | 1 | no | — |
| 636 | Dic3 | — | 18 | 1 | no | — |
| 637 | Dic3 | — | 18 | 1 | no | — |
| 638 | Dic3 | — | 18 | 1 | no | — |
| 639 | Dic3 | — | 18 | 1 | no | — |
| 640 | Dic3 | — | 18 | 1 | no | — |
| 641 | Dic3 | — | 18 | 1 | no | — |
| 642 | Dic3 | — | 36 | 1 | no | — |
| 643 | Dic3 | — | 36 | 1 | no | — |
| 644 | Dic3 | — | 36 | 1 | no | — |
| 645 | Dic3 | — | 36 | 1 | no | — |
| 646 | C32 | #5556 | 1 | 1 | yes | characteristic |
| 647 | C9 | — | 2 | 1 | no | — |
| 648 | C9 | #5495 | 1 | 1 | yes | characteristic, complemented |
| 649 | C23 | — | 3 | 1 | no | — |
| 650 | C23 | — | 9 | 1 | no | — |
| 651 | C23 | — | 9 | 1 | no | — |
| 652 | C23 | — | 18 | 2 | no | — |
| 653 | C23 | — | 18 | 2 | no | — |
| 654 | C23 | — | 36 | 1 | no | — |
| 655 | C23 | C2×D3×D9 | 1 | 1 | yes | characteristic |
| 656 | Q8 | — | 108 | 1 | no | — |
| 657 | D4 | — | 6 | 2 | no | — |
| 658 | D4 | — | 54 | 2 | no | — |
| 659 | D4 | — | 108 | 1 | no | — |
| 660 | C2×C4 | — | 3 | 1 | no | — |
| 661 | C2×C4 | — | 3 | 1 | no | — |
| 662 | C2×C4 | — | 3 | 1 | no | — |
| 663 | C2×C4 | — | 4 | 1 | no | — |
| 664 | C2×C4 | — | 9 | 1 | no | — |
| 665 | C2×C4 | — | 9 | 1 | no | — |
| 666 | C2×C4 | — | 12 | 1 | no | — |
| 667 | C2×C4 | — | 18 | 2 | no | — |
| 668 | C2×C4 | — | 27 | 1 | no | — |
| 669 | C2×C4 | — | 27 | 1 | no | — |
| 670 | C2×C4 | — | 27 | 1 | no | — |
| 671 | C2×C4 | — | 27 | 1 | no | — |
| 672 | C2×C4 | — | 54 | 2 | no | — |
| 673 | C2×C4 | — | 108 | 1 | no | — |
| 674 | C2×C4 | C2×D3×D9 | 1 | 1 | yes | characteristic |
| 675 | C2×C4 | C2×D3×D9 | 1 | 1 | yes | characteristic |
| 676 | C2×C3 | — | 2 | 2 | no | — |
| 677 | C2×C3 | — | 2 | 2 | no | — |
| 678 | C2×C3 | — | 2 | 1 | no | — |
| 679 | C2×C3 | — | 2 | 1 | no | — |
| 680 | C2×C3 | — | 2 | 1 | no | — |
| 681 | C2×C3 | — | 4 | 2 | no | — |
| 682 | C2×C3 | — | 12 | 1 | no | — |
| 683 | C2×C3 | — | 18 | 2 | no | — |
| 684 | C2×C3 | — | 36 | 1 | no | — |
| 685 | C2×C3 | C2×#3697 | 1 | 1 | yes | characteristic |
| 686 | C2×C3 | #63710 | 1 | 1 | yes | characteristic |
| 687 | C2×C3 | #41×D9 | 1 | 1 | yes | characteristic |
| 688 | C2×C3 | C2×#3795 | 1 | 1 | yes | characteristic |
| 689 | C2×C3 | D3×#235 | 1 | 1 | yes | characteristic |
| 690 | C2×C3 | #64330 | 1 | 1 | yes | characteristic |
| 691 | D3 | — | 4 | 1 | no | — |
| 692 | D3 | — | 6 | 2 | no | — |
| 693 | D3 | — | 12 | 1 | no | — |
| 694 | C22 | — | 2 | 1 | no | — |
| 695 | C22 | — | 2 | 1 | no | — |
| 696 | C22 | — | 6 | 1 | no | — |
| 697 | C22 | — | 6 | 1 | no | — |
| 698 | C22 | — | 6 | 1 | no | — |
| 699 | C22 | — | 9 | 2 | no | — |
| 700 | C22 | — | 18 | 1 | no | — |
| 701 | C22 | — | 18 | 1 | no | — |
| 702 | C22 | — | 18 | 1 | no | — |
| 703 | C22 | — | 18 | 1 | no | — |
| 704 | C22 | — | 18 | 1 | no | — |
| 705 | C22 | — | 36 | 4 | no | — |
| 706 | C22 | #88641 | 1 | 2 | yes | — |
| 707 | C22 | C22×D3×D9 | 1 | 1 | yes | characteristic |
| 708 | C4 | — | 2 | 1 | no | — |
| 709 | C4 | — | 2 | 1 | no | — |
| 710 | C4 | — | 6 | 1 | no | — |
| 711 | C4 | — | 6 | 1 | no | — |
| 712 | C4 | — | 6 | 1 | no | — |
| 713 | C4 | — | 18 | 1 | no | — |
| 714 | C4 | — | 18 | 1 | no | — |
| 715 | C4 | — | 54 | 1 | no | — |
| 716 | C4 | — | 54 | 1 | no | — |
| 717 | C4 | — | 54 | 1 | no | — |
| 718 | C4 | — | 54 | 1 | no | — |
| 719 | C3 | — | 2 | 1 | no | — |
| 720 | C3 | #10589658 | 1 | 1 | yes | characteristic, complemented |
| 721 | C3 | #10594938 | 1 | 1 | yes | characteristic |
| 722 | C2 | — | 2 | 2 | no | — |
| 723 | C2 | — | 12 | 1 | no | — |
| 724 | C2 | — | 18 | 2 | no | — |
| 725 | C2 | — | 36 | 1 | no | — |
| 726 | C2 | C2×#88641 | 1 | 1 | yes | characteristic |
| 727 | C2 | D9×#235 | 1 | 1 | yes | characteristic |
| 728 | C2 | #11722535 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta