| 1 | C2×#91916 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#91914 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11753682 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #11752363 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#65704 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11751925 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11751923 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11751911 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11751905 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11751903 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11751900 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11751900 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11751894 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11751886 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11751873 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10617372 | — | 3 | 1 | no | maximal, Hall |
| 17 | C2×#6773 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#6773 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#6758 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×D5⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C3×#700 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×D5⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#6740 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#6740 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#6740 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#6740 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#6738 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#6738 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#6738 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#6738 | C22 | 1 | 1 | yes | characteristic |
| 31 | #91916 | — | 2 | 4 | no | — |
| 32 | #91914 | — | 2 | 4 | no | — |
| 33 | #91784 | C4 | 1 | 1 | yes | characteristic |
| 34 | C5×#888 | C4 | 1 | 1 | yes | characteristic |
| 35 | C3×#4039 | C22 | 1 | 1 | yes | characteristic |
| 36 | #91465 | C4 | 1 | 1 | yes | characteristic |
| 37 | #91459 | C4 | 1 | 1 | yes | characteristic |
| 38 | #91459 | C4 | 1 | 1 | yes | characteristic |
| 39 | #91458 | C4 | 1 | 1 | yes | characteristic |
| 40 | #91455 | C4 | 1 | 1 | yes | characteristic |
| 41 | #91455 | C4 | 1 | 1 | yes | characteristic |
| 42 | #91444 | C22 | 1 | 1 | yes | characteristic |
| 43 | #91444 | C22 | 1 | 1 | yes | characteristic |
| 44 | #91418 | C22 | 1 | 1 | yes | characteristic |
| 45 | C4×#1200 | C22 | 1 | 1 | yes | characteristic |
| 46 | #91233 | C22 | 1 | 1 | yes | characteristic |
| 47 | #91232 | C22 | 1 | 1 | yes | characteristic |
| 48 | #91232 | C22 | 1 | 1 | yes | characteristic |
| 49 | #91231 | C22 | 1 | 1 | yes | characteristic |
| 50 | C3×#4004 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#4003 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×#4003 | C22 | 1 | 1 | yes | characteristic |
| 53 | C3×#4002 | C22 | 1 | 1 | yes | characteristic |
| 54 | #91177 | C22 | 1 | 1 | yes | characteristic |
| 55 | #91177 | C22 | 1 | 1 | yes | characteristic |
| 56 | #91171 | C22 | 1 | 1 | yes | characteristic |
| 57 | #91171 | C22 | 1 | 1 | yes | characteristic |
| 58 | #91171 | C22 | 1 | 1 | yes | characteristic |
| 59 | #91171 | C22 | 1 | 1 | yes | characteristic |
| 60 | #91169 | C22 | 1 | 1 | yes | characteristic |
| 61 | #91169 | C22 | 1 | 1 | yes | characteristic |
| 62 | #79480 | — | 5 | 1 | no | maximal, Hall |
| 63 | C2×#4133 | — | 3 | 1 | no | — |
| 64 | C2×#4133 | — | 3 | 1 | no | — |
| 65 | #66059 | — | 3 | 1 | no | — |
| 66 | #65787 | — | 3 | 1 | no | — |
| 67 | #65787 | — | 3 | 1 | no | — |
| 68 | #65704 | — | 3 | 1 | no | — |
| 69 | #65704 | — | 3 | 1 | no | — |
| 70 | #65704 | — | 3 | 1 | no | — |
| 71 | #65704 | — | 3 | 1 | no | — |
| 72 | #65704 | — | 3 | 1 | no | — |
| 73 | #65704 | — | 3 | 1 | no | — |
| 74 | #65704 | — | 3 | 1 | no | — |
| 75 | #65704 | D3 | 1 | 1 | yes | characteristic, complemented |
| 76 | #65682 | — | 3 | 1 | no | — |
| 77 | #65676 | — | 3 | 1 | no | — |
| 78 | C2×D60 | C2×C4 | 1 | 1 | yes | characteristic |
| 79 | C2×D60 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | C2×D60 | C2×C4 | 1 | 1 | yes | characteristic |
| 81 | C2×C4×D15 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | C2×C5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 83 | C2×C5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | C2×C3×D20 | C2×C4 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#1202 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | C2×#1202 | C2×C4 | 1 | 1 | yes | characteristic |
| 89 | C2×#1202 | C2×C4 | 1 | 1 | yes | characteristic |
| 90 | C2×#1202 | C2×C4 | 1 | 1 | yes | characteristic |
| 91 | C2×#1202 | C2×C4 | 1 | 1 | yes | characteristic |
| 92 | C2×#1202 | C2×C4 | 1 | 1 | yes | characteristic |
| 93 | C2×#1200 | C2×C4 | 1 | 1 | yes | characteristic |
| 94 | C2×#1200 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×#1200 | C23 | 1 | 1 | yes | characteristic |
| 96 | C2×#1200 | C23 | 1 | 1 | yes | characteristic |
| 97 | #6773 | — | 2 | 2 | no | — |
| 98 | #6773 | — | 2 | 2 | no | — |
| 99 | #6773 | — | 2 | 2 | no | — |
| 100 | #6773 | — | 2 | 2 | no | — |
| 101 | C2×C3⋊#170 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×C3⋊#170 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×C3⋊#170 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×C3⋊#170 | C23 | 1 | 1 | yes | characteristic |
| 105 | #6758 | — | 2 | 2 | no | — |
| 106 | D5⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 107 | C2×C3×#170 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C3×#170 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×C3×#170 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×C3×#170 | C23 | 1 | 1 | yes | characteristic |
| 111 | C3×#700 | — | 2 | 2 | no | — |
| 112 | C3×D5⋊C8 | — | 2 | 2 | no | — |
| 113 | #6740 | — | 2 | 2 | no | — |
| 114 | #6740 | — | 2 | 2 | no | — |
| 115 | #6740 | — | 2 | 2 | no | — |
| 116 | #6740 | — | 2 | 2 | no | — |
| 117 | #6738 | — | 2 | 2 | no | — |
| 118 | #6738 | — | 2 | 2 | no | — |
| 119 | #6738 | — | 2 | 2 | no | — |
| 120 | #6738 | D4 | 1 | 4 | yes | complemented |
| 121 | C3×C5×C4⋊C4 | C2×C4 | 1 | 1 | yes | characteristic |
| 122 | #6714 | C2×C4 | 1 | 1 | yes | characteristic |
| 123 | #6714 | C2×C4 | 1 | 1 | yes | characteristic |
| 124 | C5×C4⋊Dic3 | C2×C4 | 1 | 1 | yes | characteristic |
| 125 | C5×Dic3⋊C4 | C2×C4 | 1 | 1 | yes | characteristic |
| 126 | C5×Dic3⋊C4 | C2×C4 | 1 | 1 | yes | characteristic |
| 127 | C4×C5×Dic3 | C2×C4 | 1 | 1 | yes | characteristic |
| 128 | C3×#685 | C2×C4 | 1 | 1 | yes | characteristic |
| 129 | C3×#685 | C2×C4 | 1 | 1 | yes | characteristic |
| 130 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 131 | #6667 | C2×C4 | 1 | 1 | yes | characteristic |
| 132 | #6667 | C2×C4 | 1 | 1 | yes | characteristic |
| 133 | #6665 | C2×C4 | 1 | 1 | yes | characteristic |
| 134 | #6665 | C2×C4 | 1 | 1 | yes | characteristic |
| 135 | Dic3×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 136 | Dic3×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 137 | C2×#907 | — | 5 | 1 | no | — |
| 138 | C2×#901 | — | 5 | 1 | no | — |
| 139 | #5548 | — | 5 | 1 | no | — |
| 140 | C3×#435 | — | 5 | 1 | no | — |
| 141 | #5127 | — | 5 | 1 | no | — |
| 142 | #5111 | — | 5 | 1 | no | — |
| 143 | #5011 | — | 5 | 1 | no | — |
| 144 | #4837 | — | 5 | 1 | no | — |
| 145 | #4836 | — | 5 | 1 | no | — |
| 146 | #4730 | — | 5 | 1 | no | — |
| 147 | #4728 | — | 5 | 1 | no | — |
| 148 | #4727 | — | 5 | 1 | no | — |
| 149 | #4727 | — | 5 | 1 | no | — |
| 150 | #4706 | — | 5 | 1 | no | — |
| 151 | D3×#97 | — | 5 | 1 | no | — |
| 152 | C2×#713 | — | 3 | 1 | no | — |
| 153 | C2×#713 | — | 3 | 1 | no | — |
| 154 | #4133 | — | 6 | 4 | no | — |
| 155 | #4133 | — | 6 | 4 | no | — |
| 156 | C2×#700 | — | 3 | 1 | no | — |
| 157 | C2×#700 | — | 3 | 1 | no | — |
| 158 | C2×#700 | — | 3 | 1 | no | — |
| 159 | C2×#700 | — | 3 | 1 | no | — |
| 160 | C2×#700 | — | 3 | 1 | no | — |
| 161 | C2×#700 | C2×D3 | 1 | 1 | yes | characteristic |
| 162 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 163 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 164 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 165 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 166 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 167 | C2×D5⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 168 | C5×C4⋊Q8 | — | 3 | 1 | no | — |
| 169 | #4093 | — | 3 | 1 | no | — |
| 170 | #4093 | — | 3 | 1 | no | — |
| 171 | #4041 | — | 3 | 1 | no | — |
| 172 | #4041 | — | 3 | 1 | no | — |
| 173 | #4041 | — | 3 | 1 | no | — |
| 174 | #4041 | — | 3 | 1 | no | — |
| 175 | #4039 | — | 3 | 1 | no | — |
| 176 | #4039 | — | 3 | 1 | no | — |
| 177 | #4039 | — | 3 | 1 | no | — |
| 178 | #4039 | C2×D3 | 1 | 1 | yes | characteristic |
| 179 | #4020 | — | 3 | 1 | no | — |
| 180 | C42×D5 | — | 3 | 1 | no | — |
| 181 | #4004 | — | 3 | 1 | no | — |
| 182 | #4004 | — | 3 | 1 | no | — |
| 183 | #4004 | — | 3 | 1 | no | — |
| 184 | #4004 | C2×D3 | 1 | 1 | yes | characteristic |
| 185 | #4003 | — | 3 | 1 | no | — |
| 186 | #4003 | — | 3 | 1 | no | — |
| 187 | #4003 | — | 3 | 1 | no | — |
| 188 | #4003 | — | 3 | 1 | no | — |
| 189 | #4003 | — | 3 | 1 | no | — |
| 190 | #4003 | — | 3 | 1 | no | — |
| 191 | #4003 | C2×D3 | 1 | 1 | yes | characteristic |
| 192 | #4003 | C2×D3 | 1 | 1 | yes | characteristic |
| 193 | #4002 | — | 3 | 1 | no | — |
| 194 | #4002 | — | 3 | 1 | no | — |
| 195 | #4002 | — | 3 | 1 | no | — |
| 196 | #4002 | C2×D3 | 1 | 1 | yes | characteristic |
| 197 | #2932 | — | 15 | 1 | no | Sylow |
| 198 | C22×D15 | C22×C4 | 1 | 1 | yes | characteristic |
| 199 | C22×D15 | C22×C4 | 1 | 1 | yes | characteristic |
| 200 | C22×D15 | C22×C4 | 1 | 1 | yes | characteristic |
| 201 | C22×C3×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 202 | C22×C3×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 203 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 204 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 205 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 206 | C2×Dic15 | C22×C4 | 1 | 1 | yes | characteristic |
| 207 | D60 | — | 2 | 2 | no | — |
| 208 | D60 | — | 2 | 2 | no | — |
| 209 | D60 | — | 4 | 1 | no | — |
| 210 | C4×D15 | — | 4 | 1 | no | — |
| 211 | C2×C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 212 | C2×C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 213 | C2×C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 214 | C2×C5×Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 215 | C5×Dic6 | — | 2 | 2 | no | — |
| 216 | C5×Dic6 | — | 2 | 2 | no | — |
| 217 | C2×C3×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 218 | C2×C3×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 219 | C3×D20 | — | 4 | 1 | no | — |
| 220 | C3×C4×D5 | — | 2 | 1 | no | — |
| 221 | C3×C4×D5 | — | 2 | 1 | no | — |
| 222 | C3×C4×D5 | — | 2 | 1 | no | — |
| 223 | C3×C4×D5 | — | 2 | 1 | no | — |
| 224 | #1202 | — | 2 | 2 | no | — |
| 225 | #1202 | — | 2 | 2 | no | — |
| 226 | #1202 | — | 2 | 2 | no | — |
| 227 | #1202 | — | 2 | 2 | no | — |
| 228 | #1202 | — | 4 | 1 | no | — |
| 229 | #1202 | — | 4 | 1 | no | — |
| 230 | #1200 | — | 2 | 1 | no | — |
| 231 | #1200 | — | 2 | 1 | no | — |
| 232 | #1200 | — | 2 | 1 | no | — |
| 233 | #1200 | — | 2 | 1 | no | — |
| 234 | #1200 | — | 4 | 1 | no | — |
| 235 | #1200 | C2×D4 | 1 | 2 | yes | — |
| 236 | #1200 | #41 | 1 | 2 | yes | — |
| 237 | C3⋊#170 | — | 2 | 1 | no | — |
| 238 | C3⋊#170 | — | 2 | 1 | no | — |
| 239 | C3⋊#170 | — | 2 | 1 | no | — |
| 240 | C3⋊#170 | C2×D4 | 1 | 2 | yes | — |
| 241 | C3×#170 | — | 2 | 1 | no | — |
| 242 | C3×#170 | — | 2 | 1 | no | — |
| 243 | C3×#170 | — | 2 | 1 | no | — |
| 244 | C3×#170 | C2×D4 | 1 | 2 | yes | — |
| 245 | C2×#235 | — | 5 | 1 | no | — |
| 246 | C2×#235 | — | 5 | 1 | no | — |
| 247 | C2×C3×M16 | — | 5 | 1 | no | — |
| 248 | C22×C3×C8 | — | 5 | 1 | no | — |
| 249 | C3×C4×D4 | — | 5 | 1 | no | — |
| 250 | #940 | — | 5 | 1 | no | — |
| 251 | #938 | — | 5 | 1 | no | — |
| 252 | C4×#67 | — | 5 | 1 | no | — |
| 253 | C4×#67 | — | 5 | 1 | no | — |
| 254 | C2×#208 | — | 5 | 1 | no | — |
| 255 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 256 | #907 | — | 10 | 4 | no | — |
| 257 | #901 | — | 10 | 4 | no | — |
| 258 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 259 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 260 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 261 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 262 | C2×D3×C8 | — | 5 | 1 | no | — |
| 263 | C2×D3×C8 | — | 5 | 1 | no | — |
| 264 | C2×D3×C8 | — | 5 | 1 | no | — |
| 265 | C2×D3×C8 | — | 5 | 1 | no | — |
| 266 | #895 | — | 5 | 1 | no | — |
| 267 | #888 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 268 | #885 | — | 5 | 1 | no | — |
| 269 | #885 | — | 5 | 1 | no | — |
| 270 | #884 | — | 5 | 1 | no | — |
| 271 | #884 | — | 5 | 1 | no | — |
| 272 | C4×D12 | — | 5 | 1 | no | — |
| 273 | C42×D3 | — | 5 | 1 | no | — |
| 274 | C3×C4⋊C8 | — | 5 | 1 | no | — |
| 275 | C3×C22⋊C8 | — | 5 | 1 | no | — |
| 276 | C3×C22⋊C8 | — | 5 | 1 | no | — |
| 277 | C3×#97 | — | 5 | 1 | no | — |
| 278 | #830 | — | 5 | 1 | no | — |
| 279 | #830 | — | 5 | 1 | no | — |
| 280 | (C2×D3)⋊C8 | — | 5 | 1 | no | — |
| 281 | (C2×D3)⋊C8 | — | 5 | 1 | no | — |
| 282 | (C2×D3)⋊C8 | — | 5 | 1 | no | — |
| 283 | (C2×D3)⋊C8 | — | 5 | 1 | no | — |
| 284 | #815 | — | 5 | 1 | no | — |
| 285 | #815 | — | 5 | 1 | no | — |
| 286 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 287 | Dic3⋊C8 | — | 5 | 1 | no | — |
| 288 | C4⋊(C3⋊C8) | — | 5 | 1 | no | — |
| 289 | #803 | — | 5 | 1 | no | — |
| 290 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 291 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 292 | #713 | — | 6 | 2 | no | — |
| 293 | #713 | — | 6 | 2 | no | — |
| 294 | #713 | — | 6 | 2 | no | — |
| 295 | #713 | — | 6 | 2 | no | — |
| 296 | C2×D20 | — | 3 | 1 | no | — |
| 297 | C2×D20 | — | 3 | 1 | no | — |
| 298 | C2×D20 | — | 3 | 1 | no | — |
| 299 | C2×D20 | — | 3 | 1 | no | — |
| 300 | C2×D20 | — | 3 | 1 | no | — |
| 301 | C2×D20 | — | 3 | 1 | no | — |
| 302 | C2×D20 | — | 3 | 1 | no | — |
| 303 | C2×D20 | — | 3 | 1 | no | — |
| 304 | C2×D20 | — | 3 | 1 | no | — |
| 305 | C2×D20 | C4×D3 | 1 | 1 | yes | characteristic |
| 306 | C2×C4×D5 | — | 3 | 1 | no | — |
| 307 | C2×C4×D5 | — | 3 | 1 | no | — |
| 308 | C2×C4×D5 | — | 3 | 1 | no | — |
| 309 | C2×C4×D5 | — | 3 | 1 | no | — |
| 310 | C2×C4×D5 | — | 3 | 1 | no | — |
| 311 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 312 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 313 | C2×#170 | — | 3 | 1 | no | — |
| 314 | C2×#170 | — | 3 | 1 | no | — |
| 315 | C2×#170 | — | 3 | 1 | no | — |
| 316 | C2×#170 | — | 3 | 1 | no | — |
| 317 | C2×#170 | C22×D3 | 1 | 1 | yes | characteristic |
| 318 | C2×#170 | C22×D3 | 1 | 1 | yes | characteristic |
| 319 | C2×#170 | C22×D3 | 1 | 1 | yes | characteristic |
| 320 | C2×#170 | C22×D3 | 1 | 1 | yes | characteristic |
| 321 | #700 | — | 2 | 2 | no | — |
| 322 | #700 | — | 6 | 2 | no | — |
| 323 | #700 | — | 6 | 2 | no | — |
| 324 | #700 | — | 6 | 2 | no | — |
| 325 | #700 | — | 6 | 2 | no | — |
| 326 | #700 | — | 6 | 2 | no | — |
| 327 | D5⋊C8 | — | 2 | 2 | no | — |
| 328 | D5⋊C8 | — | 3 | 4 | no | — |
| 329 | D5⋊C8 | — | 6 | 2 | no | — |
| 330 | D5⋊C8 | — | 6 | 2 | no | — |
| 331 | D5⋊C8 | — | 6 | 2 | no | — |
| 332 | D5⋊C8 | — | 6 | 2 | no | — |
| 333 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 334 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 335 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 336 | C5×C4⋊C4 | C4×D3 | 1 | 1 | yes | characteristic |
| 337 | C42×C5 | — | 3 | 1 | no | — |
| 338 | #685 | — | 3 | 1 | no | — |
| 339 | #685 | — | 3 | 1 | no | — |
| 340 | #685 | — | 3 | 1 | no | — |
| 341 | #685 | — | 3 | 1 | no | — |
| 342 | #685 | — | 3 | 1 | no | — |
| 343 | #685 | — | 3 | 1 | no | — |
| 344 | #685 | C4×D3 | 1 | 1 | yes | characteristic |
| 345 | #685 | C4×D3 | 1 | 1 | yes | characteristic |
| 346 | C4×Dic5 | — | 3 | 1 | no | — |
| 347 | C4×Dic5 | — | 3 | 1 | no | — |
| 348 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 349 | C2×#131 | — | 15 | 1 | no | — |
| 350 | C2×#131 | — | 15 | 1 | no | — |
| 351 | #532 | — | 15 | 1 | no | — |
| 352 | #435 | — | 5 | 1 | no | — |
| 353 | #435 | — | 15 | 1 | no | — |
| 354 | #435 | — | 15 | 1 | no | — |
| 355 | #435 | — | 15 | 1 | no | — |
| 356 | #435 | — | 15 | 1 | no | — |
| 357 | #435 | — | 15 | 1 | no | — |
| 358 | #435 | — | 15 | 1 | no | — |
| 359 | #435 | — | 15 | 1 | no | — |
| 360 | #423 | — | 15 | 1 | no | — |
| 361 | #408 | — | 15 | 1 | no | — |
| 362 | #408 | — | 15 | 1 | no | — |
| 363 | C2×#97 | — | 15 | 1 | no | — |
| 364 | C22×C3×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 365 | C2×D15 | — | 2 | 1 | no | — |
| 366 | C2×D15 | — | 2 | 1 | no | — |
| 367 | C2×D15 | — | 2 | 1 | no | — |
| 368 | C2×D15 | — | 2 | 1 | no | — |
| 369 | C2×D15 | — | 2 | 1 | no | — |
| 370 | C2×D15 | — | 2 | 1 | no | — |
| 371 | C2×D15 | — | 2 | 1 | no | — |
| 372 | C2×D15 | — | 2 | 1 | no | — |
| 373 | C2×D15 | C4×D4 | 1 | 2 | yes | — |
| 374 | C2×C3×D5 | — | 2 | 1 | no | — |
| 375 | C2×C3×D5 | — | 2 | 1 | no | — |
| 376 | C2×C3×D5 | — | 2 | 1 | no | — |
| 377 | C2×C3×D5 | — | 2 | 1 | no | — |
| 378 | C2×C3×D5 | — | 2 | 1 | no | — |
| 379 | C2×C3×D5 | — | 2 | 1 | no | — |
| 380 | C3×C4×C5 | — | 2 | 1 | no | — |
| 381 | C3×C4×C5 | — | 2 | 1 | no | — |
| 382 | C3×C4×C5 | — | 2 | 1 | no | — |
| 383 | Dic15 | — | 2 | 1 | no | — |
| 384 | C3×Dic5 | — | 2 | 1 | no | — |
| 385 | C3×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 386 | C3×Dic5 | C2×#41 | 1 | 1 | yes | characteristic |
| 387 | C5×Dic3 | — | 2 | 1 | no | — |
| 388 | C5×Dic3 | — | 2 | 1 | no | — |
| 389 | C5×Dic3 | — | 2 | 1 | no | — |
| 390 | C5×Dic3 | C4×D4 | 1 | 2 | yes | — |
| 391 | C2×C3×D4 | — | 5 | 1 | no | — |
| 392 | C22×C3×C4 | — | 5 | 1 | no | — |
| 393 | C22×C3×C4 | — | 5 | 1 | no | — |
| 394 | C2×#67 | — | 5 | 1 | no | — |
| 395 | C2×#67 | — | 5 | 1 | no | — |
| 396 | C2×#67 | — | 5 | 1 | no | — |
| 397 | C2×#67 | — | 5 | 1 | no | — |
| 398 | C2×#67 | — | 5 | 1 | no | — |
| 399 | C2×#67 | — | 5 | 1 | no | — |
| 400 | #235 | — | 10 | 2 | no | — |
| 401 | #235 | — | 10 | 2 | no | — |
| 402 | #235 | — | 10 | 2 | no | — |
| 403 | #235 | — | 10 | 2 | no | — |
| 404 | C2×D12 | — | 5 | 1 | no | — |
| 405 | C2×D12 | — | 5 | 1 | no | — |
| 406 | C2×D12 | — | 5 | 1 | no | — |
| 407 | C2×C4×D3 | — | 5 | 1 | no | — |
| 408 | C2×C4×D3 | — | 5 | 1 | no | — |
| 409 | C2×C4×D3 | — | 5 | 1 | no | — |
| 410 | C2×C4×D3 | — | 5 | 1 | no | — |
| 411 | C2×C4×D3 | — | 5 | 1 | no | — |
| 412 | C2×Dic6 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 413 | C2×Dic6 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 414 | C3×M16 | — | 10 | 2 | no | — |
| 415 | C2×C3×C8 | — | 5 | 1 | no | — |
| 416 | C2×C3×C8 | — | 5 | 1 | no | — |
| 417 | C2×C3×C8 | — | 5 | 1 | no | — |
| 418 | C2×C3×C8 | — | 5 | 1 | no | — |
| 419 | C2×C3×C8 | — | 10 | 2 | no | — |
| 420 | C3×C4⋊C4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 421 | C3×C22⋊C4 | — | 5 | 1 | no | — |
| 422 | C3×C22⋊C4 | — | 5 | 1 | no | — |
| 423 | C3×C42 | — | 5 | 1 | no | — |
| 424 | #217 | — | 5 | 1 | no | — |
| 425 | #217 | — | 5 | 1 | no | — |
| 426 | (C2×D3)⋊C4 | — | 5 | 1 | no | — |
| 427 | (C2×D3)⋊C4 | — | 5 | 1 | no | — |
| 428 | (C2×D3)⋊C4 | — | 5 | 1 | no | — |
| 429 | (C2×D3)⋊C4 | — | 5 | 1 | no | — |
| 430 | C4⋊Dic3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 431 | Dic3⋊C4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 432 | Dic3⋊C4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 433 | C4×Dic3 | — | 5 | 1 | no | — |
| 434 | C4×Dic3 | — | 5 | 1 | no | — |
| 435 | C4×Dic3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 436 | #208 | — | 10 | 2 | no | — |
| 437 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 438 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 439 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 440 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 441 | C2×C3⋊C8 | — | 10 | 2 | no | — |
| 442 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 443 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 444 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 445 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 446 | D3×C8 | — | 5 | 4 | no | — |
| 447 | D3×C8 | — | 10 | 2 | no | — |
| 448 | D3×C8 | — | 10 | 2 | no | — |
| 449 | D3×C8 | — | 10 | 2 | no | — |
| 450 | C22×D5 | — | 3 | 1 | no | — |
| 451 | C22×D5 | — | 3 | 1 | no | — |
| 452 | C22×D5 | — | 3 | 1 | no | — |
| 453 | C22×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 454 | C22×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 455 | C5×Q8 | — | 6 | 2 | no | — |
| 456 | C5×Q8 | — | 6 | 2 | no | — |
| 457 | C2×C4×C5 | — | 3 | 1 | no | — |
| 458 | C2×C4×C5 | — | 3 | 1 | no | — |
| 459 | C2×C4×C5 | — | 3 | 1 | no | — |
| 460 | C2×C4×C5 | — | 3 | 1 | no | — |
| 461 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 462 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 463 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 464 | C2×Dic5 | — | 3 | 1 | no | — |
| 465 | C2×Dic5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 466 | C2×Dic5 | C23×D3 | 1 | 1 | yes | characteristic |
| 467 | D20 | — | 4 | 1 | no | — |
| 468 | D20 | — | 6 | 2 | no | — |
| 469 | D20 | — | 6 | 2 | no | — |
| 470 | D20 | — | 6 | 2 | no | — |
| 471 | D20 | — | 6 | 2 | no | — |
| 472 | D20 | — | 6 | 2 | no | — |
| 473 | D20 | — | 6 | 2 | no | — |
| 474 | D20 | — | 12 | 1 | no | — |
| 475 | D20 | — | 12 | 1 | no | — |
| 476 | D20 | — | 12 | 1 | no | — |
| 477 | C4×D5 | — | 2 | 1 | no | — |
| 478 | C4×D5 | — | 2 | 1 | no | — |
| 479 | C4×D5 | — | 2 | 1 | no | — |
| 480 | C4×D5 | — | 2 | 1 | no | — |
| 481 | C4×D5 | — | 3 | 2 | no | — |
| 482 | C4×D5 | — | 3 | 2 | no | — |
| 483 | C4×D5 | — | 6 | 1 | no | — |
| 484 | C4×D5 | — | 6 | 1 | no | — |
| 485 | C4×D5 | — | 6 | 1 | no | — |
| 486 | C4×D5 | — | 6 | 1 | no | — |
| 487 | C4×D5 | — | 12 | 1 | no | — |
| 488 | C4×D5 | — | 12 | 1 | no | — |
| 489 | #170 | — | 2 | 1 | no | — |
| 490 | #170 | — | 2 | 1 | no | — |
| 491 | #170 | — | 2 | 1 | no | — |
| 492 | #170 | — | 3 | 2 | no | — |
| 493 | #170 | — | 6 | 1 | no | — |
| 494 | #170 | — | 6 | 1 | no | — |
| 495 | #170 | — | 6 | 1 | no | — |
| 496 | #170 | D3×D4 | 1 | 2 | yes | — |
| 497 | C2×#41 | — | 15 | 1 | no | — |
| 498 | C2×#41 | — | 15 | 1 | no | — |
| 499 | #131 | — | 30 | 4 | no | — |
| 500 | #131 | — | 30 | 4 | no | — |
| 501 | C2×M16 | — | 5 | 1 | no | — |
| 502 | C2×M16 | — | 15 | 1 | no | — |
| 503 | C2×M16 | — | 15 | 1 | no | — |
| 504 | C2×M16 | — | 15 | 1 | no | — |
| 505 | C2×M16 | — | 15 | 1 | no | — |
| 506 | C2×M16 | — | 15 | 1 | no | — |
| 507 | C22×C8 | — | 5 | 1 | no | — |
| 508 | C22×C8 | — | 15 | 1 | no | — |
| 509 | C22×C8 | — | 15 | 1 | no | — |
| 510 | C22×C8 | — | 15 | 1 | no | — |
| 511 | C22×C8 | — | 15 | 1 | no | — |
| 512 | C22×C8 | — | 15 | 1 | no | — |
| 513 | C4⋊Q8 | — | 3 | 1 | no | — |
| 514 | #127 | — | 15 | 1 | no | — |
| 515 | #124 | — | 15 | 1 | no | — |
| 516 | #124 | — | 15 | 1 | no | — |
| 517 | #121 | — | 15 | 1 | no | — |
| 518 | #121 | — | 15 | 1 | no | — |
| 519 | #121 | — | 15 | 1 | no | — |
| 520 | #121 | — | 15 | 1 | no | — |
| 521 | C4×D4 | — | 5 | 1 | no | — |
| 522 | C4×D4 | — | 15 | 1 | no | — |
| 523 | C4×D4 | — | 15 | 1 | no | — |
| 524 | C4×D4 | — | 15 | 1 | no | — |
| 525 | C2×C42 | — | 15 | 1 | no | — |
| 526 | C4⋊C8 | — | 5 | 1 | no | — |
| 527 | C4⋊C8 | — | 15 | 1 | no | — |
| 528 | C4⋊C8 | — | 15 | 1 | no | — |
| 529 | C4⋊C8 | — | 15 | 1 | no | — |
| 530 | C22⋊C8 | — | 5 | 1 | no | — |
| 531 | C22⋊C8 | — | 5 | 1 | no | — |
| 532 | C22⋊C8 | — | 15 | 1 | no | — |
| 533 | C22⋊C8 | — | 15 | 1 | no | — |
| 534 | C22⋊C8 | — | 15 | 1 | no | — |
| 535 | C22⋊C8 | — | 15 | 1 | no | — |
| 536 | C22⋊C8 | — | 15 | 1 | no | — |
| 537 | C22⋊C8 | — | 15 | 1 | no | — |
| 538 | #97 | — | 5 | 1 | no | — |
| 539 | #97 | — | 15 | 1 | no | — |
| 540 | #97 | — | 15 | 1 | no | — |
| 541 | #97 | — | 15 | 1 | no | — |
| 542 | C2×C3×C5 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 543 | C2×C3×C5 | #568 | 1 | 1 | yes | characteristic |
| 544 | C2×C3×C5 | #568 | 1 | 1 | yes | characteristic |
| 545 | D15 | — | 2 | 2 | no | — |
| 546 | D15 | — | 4 | 1 | no | — |
| 547 | D15 | — | 4 | 1 | no | — |
| 548 | C3×D5 | — | 4 | 1 | no | — |
| 549 | C3×D5 | — | 4 | 1 | no | — |
| 550 | C23×C3 | — | 5 | 1 | no | — |
| 551 | C23×C3 | — | 5 | 1 | no | — |
| 552 | C22×D3 | — | 5 | 1 | no | — |
| 553 | C22×D3 | — | 5 | 1 | no | — |
| 554 | C22×D3 | — | 5 | 1 | no | — |
| 555 | C3×D4 | — | 20 | 1 | no | — |
| 556 | C2×C3×C4 | — | 5 | 1 | no | — |
| 557 | C2×C3×C4 | — | 5 | 1 | no | — |
| 558 | C2×C3×C4 | — | 10 | 1 | no | — |
| 559 | C2×C3×C4 | — | 10 | 1 | no | — |
| 560 | C2×C3×C4 | — | 10 | 1 | no | — |
| 561 | C2×C3×C4 | — | 10 | 1 | no | — |
| 562 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 563 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 564 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 565 | #67 | — | 10 | 2 | no | — |
| 566 | #67 | — | 10 | 2 | no | — |
| 567 | #67 | — | 10 | 2 | no | — |
| 568 | #67 | — | 10 | 2 | no | — |
| 569 | #67 | — | 20 | 1 | no | — |
| 570 | #67 | — | 20 | 1 | no | — |
| 571 | C2×Dic3 | — | 5 | 1 | no | — |
| 572 | C2×Dic3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 573 | C2×Dic3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 574 | C2×Dic3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 575 | C2×Dic3 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 576 | D12 | — | 10 | 2 | no | — |
| 577 | D12 | — | 10 | 2 | no | — |
| 578 | D12 | — | 20 | 1 | no | — |
| 579 | C4×D3 | — | 5 | 2 | no | — |
| 580 | C4×D3 | — | 5 | 2 | no | — |
| 581 | C4×D3 | — | 10 | 1 | no | — |
| 582 | C4×D3 | — | 10 | 1 | no | — |
| 583 | C4×D3 | — | 10 | 1 | no | — |
| 584 | C4×D3 | — | 10 | 1 | no | — |
| 585 | C4×D3 | — | 20 | 1 | no | — |
| 586 | C4×D3 | — | 20 | 1 | no | — |
| 587 | Dic6 | — | 2 | 2 | no | — |
| 588 | Dic6 | — | 2 | 2 | no | — |
| 589 | C3×C8 | — | 5 | 2 | no | — |
| 590 | C3×C8 | — | 10 | 1 | no | — |
| 591 | C3×C8 | — | 10 | 1 | no | — |
| 592 | C3×C8 | — | 10 | 1 | no | — |
| 593 | C3⋊C8 | — | 5 | 2 | no | — |
| 594 | C3⋊C8 | — | 10 | 1 | no | — |
| 595 | C3⋊C8 | — | 10 | 1 | no | — |
| 596 | C3⋊C8 | — | 10 | 1 | no | — |
| 597 | C22×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 598 | C2×D5 | — | 2 | 1 | no | — |
| 599 | C2×D5 | — | 2 | 1 | no | — |
| 600 | C2×D5 | — | 2 | 1 | no | — |
| 601 | C2×D5 | — | 2 | 1 | no | — |
| 602 | C2×D5 | — | 2 | 1 | no | — |
| 603 | C2×D5 | — | 2 | 1 | no | — |
| 604 | C2×D5 | — | 3 | 2 | no | — |
| 605 | C2×D5 | — | 6 | 1 | no | — |
| 606 | C2×D5 | — | 6 | 1 | no | — |
| 607 | C2×D5 | — | 6 | 1 | no | — |
| 608 | C2×D5 | — | 6 | 1 | no | — |
| 609 | C2×D5 | — | 6 | 1 | no | — |
| 610 | C2×D5 | — | 6 | 1 | no | — |
| 611 | C2×D5 | — | 6 | 1 | no | — |
| 612 | C2×D5 | — | 6 | 1 | no | — |
| 613 | C4×C5 | — | 2 | 1 | no | — |
| 614 | C4×C5 | — | 2 | 1 | no | — |
| 615 | C4×C5 | — | 2 | 1 | no | — |
| 616 | C4×C5 | — | 3 | 2 | no | — |
| 617 | C4×C5 | — | 6 | 1 | no | — |
| 618 | C4×C5 | — | 6 | 1 | no | — |
| 619 | C4×C5 | — | 6 | 1 | no | — |
| 620 | Dic5 | — | 2 | 1 | no | — |
| 621 | Dic5 | — | 6 | 1 | no | — |
| 622 | Dic5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 623 | Dic5 | D3×#41 | 1 | 1 | yes | characteristic |
| 624 | #41 | — | 30 | 2 | no | — |
| 625 | #41 | — | 30 | 2 | no | — |
| 626 | #41 | — | 30 | 2 | no | — |
| 627 | #41 | — | 30 | 2 | no | — |
| 628 | C2×Q8 | — | 3 | 1 | no | — |
| 629 | C2×Q8 | — | 3 | 1 | no | — |
| 630 | C2×D4 | — | 5 | 1 | no | — |
| 631 | C2×D4 | — | 15 | 1 | no | — |
| 632 | C2×D4 | — | 15 | 1 | no | — |
| 633 | C2×D4 | — | 15 | 1 | no | — |
| 634 | C2×D4 | — | 15 | 1 | no | — |
| 635 | C2×D4 | — | 15 | 1 | no | — |
| 636 | C2×D4 | — | 15 | 1 | no | — |
| 637 | C2×D4 | — | 15 | 1 | no | — |
| 638 | C2×D4 | — | 15 | 1 | no | — |
| 639 | C2×D4 | — | 15 | 1 | no | — |
| 640 | C22×C4 | — | 5 | 1 | no | — |
| 641 | C22×C4 | — | 5 | 1 | no | — |
| 642 | C22×C4 | — | 15 | 1 | no | — |
| 643 | C22×C4 | — | 15 | 1 | no | — |
| 644 | C22×C4 | — | 15 | 1 | no | — |
| 645 | C22×C4 | — | 15 | 1 | no | — |
| 646 | C22×C4 | — | 15 | 1 | no | — |
| 647 | M16 | — | 10 | 2 | no | — |
| 648 | M16 | — | 30 | 2 | no | — |
| 649 | M16 | — | 30 | 2 | no | — |
| 650 | M16 | — | 30 | 2 | no | — |
| 651 | M16 | — | 30 | 2 | no | — |
| 652 | M16 | — | 30 | 2 | no | — |
| 653 | C2×C8 | — | 5 | 1 | no | — |
| 654 | C2×C8 | — | 5 | 1 | no | — |
| 655 | C2×C8 | — | 5 | 1 | no | — |
| 656 | C2×C8 | — | 5 | 1 | no | — |
| 657 | C2×C8 | — | 10 | 2 | no | — |
| 658 | C2×C8 | — | 15 | 4 | no | — |
| 659 | C2×C8 | — | 15 | 1 | no | — |
| 660 | C2×C8 | — | 15 | 1 | no | — |
| 661 | C2×C8 | — | 15 | 1 | no | — |
| 662 | C2×C8 | — | 15 | 1 | no | — |
| 663 | C2×C8 | — | 30 | 2 | no | — |
| 664 | C2×C8 | — | 30 | 2 | no | — |
| 665 | C2×C8 | — | 30 | 2 | no | — |
| 666 | C2×C8 | — | 30 | 2 | no | — |
| 667 | C4⋊C4 | — | 3 | 1 | no | — |
| 668 | C4⋊C4 | — | 3 | 1 | no | — |
| 669 | C4⋊C4 | — | 3 | 1 | no | — |
| 670 | C4⋊C4 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 671 | C22⋊C4 | — | 5 | 1 | no | — |
| 672 | C22⋊C4 | — | 5 | 1 | no | — |
| 673 | C22⋊C4 | — | 15 | 1 | no | — |
| 674 | C22⋊C4 | — | 15 | 1 | no | — |
| 675 | C22⋊C4 | — | 15 | 1 | no | — |
| 676 | C22⋊C4 | — | 15 | 1 | no | — |
| 677 | C22⋊C4 | — | 15 | 1 | no | — |
| 678 | C22⋊C4 | — | 15 | 1 | no | — |
| 679 | C42 | — | 3 | 1 | no | — |
| 680 | C42 | — | 5 | 1 | no | — |
| 681 | C42 | — | 15 | 1 | no | — |
| 682 | C42 | — | 15 | 1 | no | — |
| 683 | C3×C5 | #2932 | 1 | 1 | yes | characteristic, complemented, Hall |
| 684 | C22×C3 | — | 10 | 1 | no | — |
| 685 | C22×C3 | — | 10 | 1 | no | — |
| 686 | C22×C3 | — | 10 | 1 | no | — |
| 687 | C22×C3 | — | 10 | 1 | no | — |
| 688 | C22×C3 | — | 10 | 1 | no | — |
| 689 | C22×C3 | — | 10 | 1 | no | — |
| 690 | C22×C3 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 691 | C2×D3 | — | 5 | 2 | no | — |
| 692 | C2×D3 | — | 10 | 1 | no | — |
| 693 | C2×D3 | — | 10 | 1 | no | — |
| 694 | C2×D3 | — | 10 | 1 | no | — |
| 695 | C2×D3 | — | 10 | 1 | no | — |
| 696 | C2×D3 | — | 10 | 1 | no | — |
| 697 | C2×D3 | — | 10 | 1 | no | — |
| 698 | C2×D3 | — | 10 | 1 | no | — |
| 699 | C2×D3 | — | 10 | 1 | no | — |
| 700 | C3×C4 | — | 2 | 1 | no | — |
| 701 | C3×C4 | — | 2 | 1 | no | — |
| 702 | C3×C4 | — | 2 | 1 | no | — |
| 703 | C3×C4 | — | 5 | 1 | no | — |
| 704 | C3×C4 | — | 5 | 1 | no | — |
| 705 | C3×C4 | — | 10 | 1 | no | — |
| 706 | Dic3 | — | 2 | 1 | no | — |
| 707 | Dic3 | — | 2 | 1 | no | — |
| 708 | Dic3 | — | 2 | 1 | no | — |
| 709 | Dic3 | — | 10 | 1 | no | — |
| 710 | Dic3 | D4×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 711 | C2×C5 | C4×D3×D4 | 1 | 1 | yes | characteristic |
| 712 | C2×C5 | #5745 | 1 | 1 | yes | characteristic |
| 713 | C2×C5 | #5750 | 1 | 1 | yes | characteristic |
| 714 | D5 | — | 4 | 1 | no | — |
| 715 | D5 | — | 4 | 1 | no | — |
| 716 | D5 | — | 6 | 2 | no | — |
| 717 | D5 | — | 12 | 1 | no | — |
| 718 | D5 | — | 12 | 1 | no | — |
| 719 | C23 | — | 5 | 1 | no | — |
| 720 | C23 | — | 5 | 1 | no | — |
| 721 | C23 | — | 15 | 1 | no | — |
| 722 | C23 | — | 15 | 1 | no | — |
| 723 | C23 | — | 15 | 1 | no | — |
| 724 | Q8 | — | 6 | 2 | no | — |
| 725 | Q8 | — | 6 | 2 | no | — |
| 726 | D4 | — | 20 | 1 | no | — |
| 727 | D4 | — | 30 | 2 | no | — |
| 728 | D4 | — | 30 | 2 | no | — |
| 729 | D4 | — | 30 | 2 | no | — |
| 730 | D4 | — | 30 | 2 | no | — |
| 731 | D4 | — | 30 | 2 | no | — |
| 732 | D4 | — | 30 | 2 | no | — |
| 733 | D4 | — | 60 | 1 | no | — |
| 734 | D4 | — | 60 | 1 | no | — |
| 735 | D4 | — | 60 | 1 | no | — |
| 736 | C2×C4 | — | 3 | 1 | no | — |
| 737 | C2×C4 | — | 3 | 1 | no | — |
| 738 | C2×C4 | — | 3 | 1 | no | — |
| 739 | C2×C4 | — | 3 | 1 | no | — |
| 740 | C2×C4 | — | 5 | 1 | no | — |
| 741 | C2×C4 | — | 5 | 1 | no | — |
| 742 | C2×C4 | — | 10 | 1 | no | — |
| 743 | C2×C4 | — | 10 | 1 | no | — |
| 744 | C2×C4 | — | 10 | 1 | no | — |
| 745 | C2×C4 | — | 10 | 1 | no | — |
| 746 | C2×C4 | — | 15 | 2 | no | — |
| 747 | C2×C4 | — | 15 | 2 | no | — |
| 748 | C2×C4 | — | 15 | 1 | no | — |
| 749 | C2×C4 | — | 30 | 1 | no | — |
| 750 | C2×C4 | — | 30 | 1 | no | — |
| 751 | C2×C4 | — | 30 | 1 | no | — |
| 752 | C2×C4 | — | 30 | 1 | no | — |
| 753 | C2×C4 | — | 60 | 1 | no | — |
| 754 | C2×C4 | — | 60 | 1 | no | — |
| 755 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 756 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 757 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 758 | C8 | — | 5 | 2 | no | — |
| 759 | C8 | — | 10 | 1 | no | — |
| 760 | C8 | — | 10 | 1 | no | — |
| 761 | C8 | — | 10 | 1 | no | — |
| 762 | C8 | — | 15 | 2 | no | — |
| 763 | C8 | — | 30 | 1 | no | — |
| 764 | C8 | — | 30 | 1 | no | — |
| 765 | C8 | — | 30 | 1 | no | — |
| 766 | C2×C3 | — | 20 | 1 | no | — |
| 767 | C2×C3 | — | 20 | 1 | no | — |
| 768 | C2×C3 | C2×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 769 | C2×C3 | #66260 | 1 | 1 | yes | characteristic |
| 770 | C2×C3 | #66260 | 1 | 1 | yes | characteristic |
| 771 | D3 | — | 10 | 2 | no | — |
| 772 | D3 | — | 20 | 1 | no | — |
| 773 | D3 | — | 20 | 1 | no | — |
| 774 | C5 | #79480 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 775 | C22 | — | 10 | 1 | no | — |
| 776 | C22 | — | 10 | 1 | no | — |
| 777 | C22 | — | 10 | 1 | no | — |
| 778 | C22 | — | 10 | 1 | no | — |
| 779 | C22 | — | 10 | 1 | no | — |
| 780 | C22 | — | 10 | 1 | no | — |
| 781 | C22 | — | 15 | 2 | no | — |
| 782 | C22 | — | 30 | 1 | no | — |
| 783 | C22 | — | 30 | 1 | no | — |
| 784 | C22 | — | 30 | 1 | no | — |
| 785 | C22 | — | 30 | 1 | no | — |
| 786 | C22 | — | 30 | 1 | no | — |
| 787 | C22 | — | 30 | 1 | no | — |
| 788 | C22 | — | 30 | 1 | no | — |
| 789 | C22 | — | 30 | 1 | no | — |
| 790 | C22 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 791 | C4 | — | 2 | 1 | no | — |
| 792 | C4 | — | 2 | 1 | no | — |
| 793 | C4 | — | 2 | 1 | no | — |
| 794 | C4 | — | 3 | 2 | no | — |
| 795 | C4 | — | 5 | 1 | no | — |
| 796 | C4 | — | 5 | 1 | no | — |
| 797 | C4 | — | 6 | 1 | no | — |
| 798 | C4 | — | 6 | 1 | no | — |
| 799 | C4 | — | 6 | 1 | no | — |
| 800 | C4 | — | 10 | 1 | no | — |
| 801 | C4 | — | 30 | 1 | no | — |
| 802 | C3 | #10617372 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 803 | C2 | — | 20 | 1 | no | — |
| 804 | C2 | — | 20 | 1 | no | — |
| 805 | C2 | — | 30 | 2 | no | — |
| 806 | C2 | — | 60 | 1 | no | — |
| 807 | C2 | — | 60 | 1 | no | — |
| 808 | C2 | #11756827 | 1 | 1 | yes | characteristic |
| 809 | C2 | D3×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 810 | C2 | #11756851 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta