| 1 | C3×#5584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5554 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C32×#440 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#5173 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5169 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#5028 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#5008 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C3×#4888 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C3×#4885 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C3×#4816 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C3×#4807 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C3×#4772 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C3×#4770 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C3×#4714 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C3×#4706 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C3×#3311 | — | 3 | 1 | no | maximal |
| 17 | #79801 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 18 | C2×C3×#237 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C3×D3×D4 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C32×SD16 | C22 | 1 | 1 | yes | characteristic |
| 21 | C32×C4×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C32×C4×D4 | C22 | 1 | 1 | yes | characteristic |
| 23 | C3×#946 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×#946 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×C3×#216 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×C3×#215 | C22 | 1 | 1 | yes | characteristic |
| 27 | C3×#930 | — | 2 | 1 | no | — |
| 28 | C2×C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 29 | C2×C3×ΓL(1,𝔽25) | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×C3×D3×C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3×#898 | — | 2 | 1 | no | — |
| 32 | C3×#898 | — | 2 | 1 | no | — |
| 33 | C3×#897 | C22 | 1 | 1 | yes | characteristic |
| 34 | C3×#895 | C22 | 1 | 1 | yes | characteristic |
| 35 | C3×#892 | C22 | 1 | 1 | yes | characteristic |
| 36 | C3×#892 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C3×#886 | — | 2 | 1 | no | — |
| 38 | C3×#882 | — | 2 | 1 | no | — |
| 39 | C3×#875 | — | 2 | 1 | no | — |
| 40 | C3×#875 | C22 | 1 | 1 | yes | characteristic |
| 41 | C3×C4×D12 | C22 | 1 | 1 | yes | characteristic |
| 42 | C3×#869 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C3×C4×Dic6 | — | 2 | 1 | no | — |
| 44 | C32×#107 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C32×#103 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C32×#102 | C22 | 1 | 1 | yes | characteristic |
| 47 | C32×#97 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C3×#832 | C22 | 1 | 1 | yes | characteristic |
| 49 | C3×#832 | C22 | 1 | 1 | yes | characteristic |
| 50 | C3×#821 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#821 | C22 | 1 | 1 | yes | characteristic |
| 52 | C3×(C2×D3)⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 53 | C3×(C2×D3)⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C3×#816 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C3×#816 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C3×#810 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C3×#809 | C22 | 1 | 1 | yes | characteristic |
| 58 | C3×#808 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C3×#808 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C3×C4⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C3×#556 | — | 3 | 1 | no | — |
| 62 | C3×#546 | — | 3 | 1 | no | — |
| 63 | #5584 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 64 | #5554 | C2×C3 | 1 | 1 | yes | characteristic |
| 65 | C3×#489 | — | 3 | 1 | no | — |
| 66 | C3×#485 | — | 3 | 1 | no | — |
| 67 | C3×#482 | — | 3 | 1 | no | — |
| 68 | C3×#476 | — | 3 | 1 | no | — |
| 69 | C3×#470 | — | 3 | 1 | no | — |
| 70 | C3×#465 | — | 3 | 1 | no | — |
| 71 | C3×#464 | — | 3 | 1 | no | — |
| 72 | C3×#452 | — | 3 | 1 | no | — |
| 73 | C3×#450 | — | 3 | 1 | no | — |
| 74 | C3×#440 | — | 2 | 1 | no | — |
| 75 | C3×#440 | D3 | 1 | 1 | yes | characteristic, complemented |
| 76 | C3×#440 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 77 | C3×#435 | — | 3 | 1 | no | — |
| 78 | C3×#418 | — | 3 | 1 | no | — |
| 79 | C3×#416 | — | 3 | 1 | no | — |
| 80 | #5173 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 81 | #5169 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 82 | #5028 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 83 | #5008 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 84 | #4888 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 85 | #4885 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 86 | #4816 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 87 | #4807 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 88 | #4772 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 89 | #4770 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 90 | #4714 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 91 | #4706 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 92 | C23×C3×D3 | — | 2 | 1 | no | — |
| 93 | C2×C32×Q8 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic |
| 95 | C22×C32×C4 | — | 2 | 1 | no | — |
| 96 | C2×C3×#67 | — | 2 | 1 | no | — |
| 97 | C2×C3×#67 | — | 2 | 1 | no | — |
| 98 | C22×C3×Dic3 | — | 2 | 1 | no | — |
| 99 | C3×#237 | — | 2 | 2 | no | — |
| 100 | C3×#237 | — | 4 | 1 | no | — |
| 101 | C3×D3×D4 | — | 2 | 2 | no | — |
| 102 | C3×D3×D4 | — | 4 | 1 | no | — |
| 103 | C2×C3×D12 | — | 2 | 1 | no | — |
| 104 | C2×C3×D12 | D4 | 1 | 1 | yes | characteristic |
| 105 | C2×C3×D12 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C3×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 107 | C2×C3×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 109 | C2×C3×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 110 | C32×SD16 | — | 2 | 2 | no | — |
| 111 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 113 | C32×C4⋊C4 | — | 2 | 1 | no | — |
| 114 | C32×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 115 | C32×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 116 | C32×C22⋊C4 | — | 2 | 1 | no | — |
| 117 | C32×C42 | — | 2 | 1 | no | — |
| 118 | C32×C42 | C23 | 1 | 1 | yes | characteristic |
| 119 | C3×#216 | — | 4 | 1 | no | — |
| 120 | C3×#215 | — | 4 | 1 | no | — |
| 121 | C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 122 | C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 123 | C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 124 | C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 125 | C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 126 | C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 127 | C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 128 | C3×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 129 | C3×(C2×D3)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 130 | C3×(C2×D3)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 131 | C3×C4⋊Dic3 | — | 2 | 1 | no | — |
| 132 | C3×C4⋊Dic3 | — | 2 | 1 | no | — |
| 133 | C3×C4⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 134 | C3×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 135 | C3×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 136 | C3×Dic3⋊C4 | — | 2 | 1 | no | — |
| 137 | C3×Dic3⋊C4 | — | 2 | 1 | no | — |
| 138 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 139 | C3×C4×Dic3 | — | 2 | 1 | no | — |
| 140 | C2×C3×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 141 | C2×C3×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 142 | C3×ΓL(1,𝔽25) | — | 4 | 1 | no | — |
| 143 | C3×D3×C8 | — | 4 | 1 | no | — |
| 144 | #3311 | — | 3 | 1 | no | Sylow |
| 145 | C2×C3×#41 | — | 3 | 1 | no | — |
| 146 | C22×C3×D4 | — | 3 | 1 | no | — |
| 147 | C2×#237 | C22×C3 | 1 | 1 | yes | characteristic |
| 148 | C2×D3×D4 | C22×C3 | 1 | 1 | yes | characteristic |
| 149 | C2×C3×Q16 | — | 3 | 1 | no | — |
| 150 | C2×C3×SD16 | — | 2 | 1 | no | — |
| 151 | C2×C3×SD16 | — | 3 | 1 | no | — |
| 152 | C2×C3×SD16 | C2×D3 | 1 | 1 | yes | characteristic |
| 153 | C2×C3×SD16 | C22×C3 | 1 | 1 | yes | characteristic |
| 154 | C2×C3×M16 | — | 3 | 1 | no | — |
| 155 | C22×C3×C8 | — | 3 | 1 | no | — |
| 156 | C3×C4⋊Q8 | — | 3 | 1 | no | — |
| 157 | C3×#126 | — | 6 | 1 | no | — |
| 158 | C3×#126 | — | 6 | 1 | no | — |
| 159 | C3×#124 | — | 3 | 1 | no | — |
| 160 | C3×#124 | — | 6 | 1 | no | — |
| 161 | C3×#123 | — | 6 | 1 | no | — |
| 162 | C3×C22⋊Q8 | — | 3 | 1 | no | — |
| 163 | C3×C22⋊Q8 | — | 3 | 1 | no | — |
| 164 | C3×C22⋊Q8 | — | 3 | 1 | no | — |
| 165 | C3×#121 | — | 3 | 1 | no | — |
| 166 | C3×#121 | — | 6 | 1 | no | — |
| 167 | C3×#120 | — | 6 | 1 | no | — |
| 168 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 169 | C3×C4×Q8 | — | 6 | 1 | no | — |
| 170 | C3×C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 171 | C3×C4×Q8 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 172 | C3×C4×D4 | — | 2 | 1 | no | — |
| 173 | C3×C4×D4 | — | 3 | 1 | no | — |
| 174 | C3×C4×D4 | C2×D3 | 1 | 1 | yes | characteristic |
| 175 | C3×C4×D4 | C22×C3 | 1 | 1 | yes | characteristic |
| 176 | C3×#117 | — | 3 | 1 | no | — |
| 177 | C3×#117 | — | 3 | 1 | no | — |
| 178 | C2×C3×C22⋊C4 | — | 6 | 1 | no | — |
| 179 | #946 | C22×C3 | 1 | 1 | yes | characteristic |
| 180 | #946 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 181 | C2×#216 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 182 | C2×#215 | C22×C3 | 1 | 1 | yes | characteristic |
| 183 | #930 | — | 2 | 1 | no | — |
| 184 | C2×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 185 | C2×ΓL(1,𝔽25) | C22×C3 | 1 | 1 | yes | characteristic |
| 186 | C2×D3×C8 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 187 | #898 | — | 2 | 1 | no | — |
| 188 | #898 | — | 2 | 1 | no | — |
| 189 | #897 | C22×C3 | 1 | 1 | yes | characteristic |
| 190 | #895 | C22×C3 | 1 | 1 | yes | characteristic |
| 191 | #892 | C22×C3 | 1 | 1 | yes | characteristic |
| 192 | #892 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 193 | #886 | — | 2 | 1 | no | — |
| 194 | #882 | — | 2 | 1 | no | — |
| 195 | #875 | — | 2 | 1 | no | — |
| 196 | #875 | C22×C3 | 1 | 1 | yes | characteristic |
| 197 | C4×D12 | C22×C3 | 1 | 1 | yes | characteristic |
| 198 | #869 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 199 | C4×Dic6 | — | 2 | 1 | no | — |
| 200 | C3×#107 | — | 2 | 1 | no | — |
| 201 | C3×#107 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 202 | C3×#107 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 203 | C3×#106 | — | 3 | 1 | no | — |
| 204 | C3×#106 | — | 3 | 1 | no | — |
| 205 | C3×C4⋊C8 | — | 3 | 1 | no | — |
| 206 | C3×#103 | — | 2 | 1 | no | — |
| 207 | C3×#103 | — | 3 | 1 | no | — |
| 208 | C3×#103 | — | 3 | 1 | no | — |
| 209 | C3×#103 | — | 3 | 1 | no | — |
| 210 | C3×#103 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 211 | C3×#103 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 212 | C3×#102 | — | 2 | 1 | no | — |
| 213 | C3×#102 | — | 3 | 1 | no | — |
| 214 | C3×#102 | — | 3 | 1 | no | — |
| 215 | C3×#102 | — | 3 | 1 | no | — |
| 216 | C3×#102 | — | 3 | 1 | no | — |
| 217 | C3×#102 | — | 3 | 1 | no | — |
| 218 | C3×#102 | C2×D3 | 1 | 1 | yes | characteristic |
| 219 | C3×#102 | C22×C3 | 1 | 1 | yes | characteristic |
| 220 | C3×C22⋊C8 | — | 3 | 1 | no | — |
| 221 | C3×C22⋊C8 | — | 3 | 1 | no | — |
| 222 | C3×#97 | — | 2 | 1 | no | — |
| 223 | C3×#97 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 224 | C3×#97 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 225 | #832 | C22×C3 | 1 | 1 | yes | characteristic |
| 226 | #832 | C22×C3 | 1 | 1 | yes | characteristic |
| 227 | #821 | C22×C3 | 1 | 1 | yes | characteristic |
| 228 | #821 | C22×C3 | 1 | 1 | yes | characteristic |
| 229 | (C2×D3)⋊C8 | C22×C3 | 1 | 1 | yes | characteristic |
| 230 | (C2×D3)⋊C8 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 231 | #816 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 232 | #816 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 233 | #810 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 234 | #809 | C22×C3 | 1 | 1 | yes | characteristic |
| 235 | #808 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 236 | #808 | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 237 | C4⋊(C3⋊C8) | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 238 | C23×C32 | — | 2 | 1 | no | — |
| 239 | C22×C3×D3 | — | 2 | 1 | no | — |
| 240 | C22×C3×D3 | — | 4 | 2 | no | — |
| 241 | C22×C3×D3 | — | 4 | 2 | no | — |
| 242 | C22×C3×D3 | — | 8 | 1 | no | — |
| 243 | C22×C3×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C22×C3×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C32×Q8 | — | 2 | 1 | no | — |
| 246 | C32×Q8 | — | 2 | 1 | no | — |
| 247 | C32×D4 | — | 2 | 1 | no | — |
| 248 | C32×D4 | #41 | 1 | 2 | yes | — |
| 249 | C2×C32×C4 | — | 2 | 1 | no | — |
| 250 | C2×C32×C4 | — | 2 | 1 | no | — |
| 251 | C2×C32×C4 | — | 2 | 1 | no | — |
| 252 | C2×C32×C4 | — | 8 | 1 | no | — |
| 253 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 256 | C3×#67 | — | 4 | 2 | no | — |
| 257 | C3×#67 | — | 4 | 2 | no | — |
| 258 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 259 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 260 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 261 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 262 | C2×C3×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C2×C3×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | C3×D12 | — | 2 | 1 | no | — |
| 265 | C3×D12 | — | 2 | 1 | no | — |
| 266 | C3×D12 | — | 4 | 1 | no | — |
| 267 | C3×D12 | — | 8 | 1 | no | — |
| 268 | C3×C4×D3 | — | 2 | 1 | no | — |
| 269 | C3×C4×D3 | — | 2 | 1 | no | — |
| 270 | C3×C4×D3 | — | 2 | 1 | no | — |
| 271 | C3×C4×D3 | — | 2 | 1 | no | — |
| 272 | C3×Dic6 | — | 2 | 1 | no | — |
| 273 | C3×Dic6 | — | 2 | 1 | no | — |
| 274 | C3×Dic6 | — | 4 | 2 | no | — |
| 275 | C32×C8 | — | 2 | 1 | no | — |
| 276 | C32×C8 | — | 2 | 1 | no | — |
| 277 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 278 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 279 | #556 | — | 3 | 1 | no | — |
| 280 | #546 | — | 3 | 1 | no | — |
| 281 | #489 | — | 3 | 1 | no | — |
| 282 | #485 | — | 3 | 1 | no | — |
| 283 | #482 | — | 3 | 1 | no | — |
| 284 | #476 | — | 3 | 1 | no | — |
| 285 | #470 | — | 3 | 1 | no | — |
| 286 | #465 | — | 3 | 1 | no | — |
| 287 | #464 | — | 3 | 1 | no | — |
| 288 | #452 | — | 3 | 1 | no | — |
| 289 | #450 | — | 3 | 1 | no | — |
| 290 | #440 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 291 | #435 | — | 3 | 1 | no | — |
| 292 | #418 | — | 3 | 1 | no | — |
| 293 | #416 | — | 3 | 1 | no | — |
| 294 | C24×C3 | — | 6 | 1 | no | — |
| 295 | C23×D3 | — | 2 | 1 | no | — |
| 296 | C3×#41 | — | 6 | 2 | no | — |
| 297 | C3×#41 | — | 12 | 1 | no | — |
| 298 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 299 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 300 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 301 | C2×C3×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 302 | C2×C3×Q8 | C23×C3 | 1 | 1 | yes | characteristic |
| 303 | C2×C3×D4 | — | 2 | 1 | no | — |
| 304 | C2×C3×D4 | — | 3 | 1 | no | — |
| 305 | C2×C3×D4 | — | 3 | 1 | no | — |
| 306 | C2×C3×D4 | — | 6 | 1 | no | — |
| 307 | C2×C3×D4 | — | 6 | 1 | no | — |
| 308 | C2×C3×D4 | — | 6 | 2 | no | — |
| 309 | C2×C3×D4 | — | 6 | 1 | no | — |
| 310 | C2×C3×D4 | — | 12 | 1 | no | — |
| 311 | C2×C3×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 312 | C2×C3×D4 | C23×C3 | 1 | 1 | yes | characteristic |
| 313 | C22×C3×C4 | — | 2 | 1 | no | — |
| 314 | C22×C3×C4 | — | 2 | 1 | no | — |
| 315 | C22×C3×C4 | — | 3 | 1 | no | — |
| 316 | C22×C3×C4 | — | 3 | 1 | no | — |
| 317 | C22×C3×C4 | — | 4 | 1 | no | — |
| 318 | C22×C3×C4 | — | 6 | 1 | no | — |
| 319 | C2×#67 | — | 2 | 1 | no | — |
| 320 | C2×#67 | — | 2 | 1 | no | — |
| 321 | C22×Dic3 | — | 2 | 1 | no | — |
| 322 | #237 | — | 2 | 2 | no | — |
| 323 | #237 | — | 4 | 1 | no | — |
| 324 | D3×D4 | — | 2 | 2 | no | — |
| 325 | D3×D4 | — | 4 | 1 | no | — |
| 326 | C2×D12 | — | 2 | 1 | no | — |
| 327 | C2×D12 | C3×D4 | 1 | 1 | yes | characteristic |
| 328 | C2×D12 | C23×C3 | 1 | 1 | yes | characteristic |
| 329 | C2×C4×D3 | C23×C3 | 1 | 1 | yes | characteristic |
| 330 | C2×C4×D3 | C23×C3 | 1 | 1 | yes | characteristic |
| 331 | C2×Dic6 | — | 2 | 1 | no | — |
| 332 | C2×Dic6 | C23×C3 | 1 | 1 | yes | characteristic |
| 333 | C3×Q16 | — | 12 | 1 | no | — |
| 334 | C3×SD16 | — | 2 | 4 | no | — |
| 335 | C3×SD16 | — | 2 | 2 | no | — |
| 336 | C3×SD16 | — | 2 | 2 | no | — |
| 337 | C3×SD16 | — | 12 | 1 | no | — |
| 338 | C3×M16 | — | 12 | 1 | no | — |
| 339 | C2×C3×C8 | — | 2 | 1 | no | — |
| 340 | C2×C3×C8 | — | 2 | 1 | no | — |
| 341 | C2×C3×C8 | — | 3 | 1 | no | — |
| 342 | C2×C3×C8 | — | 3 | 1 | no | — |
| 343 | C2×C3×C8 | — | 12 | 1 | no | — |
| 344 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 345 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 346 | C2×C3×C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 347 | C2×C3×C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 348 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 349 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 350 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 351 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 352 | C3×C4⋊C4 | — | 3 | 1 | no | — |
| 353 | C3×C4⋊C4 | — | 3 | 1 | no | — |
| 354 | C3×C4⋊C4 | — | 3 | 1 | no | — |
| 355 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 356 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 357 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 358 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 359 | C3×C4⋊C4 | — | 6 | 1 | no | — |
| 360 | C3×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 361 | C3×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 362 | C3×C4⋊C4 | C23×C3 | 1 | 1 | yes | characteristic |
| 363 | C3×C4⋊C4 | C23×C3 | 1 | 1 | yes | characteristic |
| 364 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 365 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 366 | C3×C22⋊C4 | — | 3 | 1 | no | — |
| 367 | C3×C22⋊C4 | — | 3 | 1 | no | — |
| 368 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 369 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 370 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 371 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 372 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 373 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 374 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 375 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 376 | C3×C22⋊C4 | — | 6 | 1 | no | — |
| 377 | C3×C42 | — | 2 | 1 | no | — |
| 378 | C3×C42 | — | 2 | 1 | no | — |
| 379 | C3×C42 | — | 2 | 1 | no | — |
| 380 | C3×C42 | — | 4 | 1 | no | — |
| 381 | C3×C42 | — | 6 | 1 | no | — |
| 382 | C3×C42 | — | 6 | 1 | no | — |
| 383 | C3×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 384 | C3×C42 | C23×C3 | 1 | 1 | yes | characteristic |
| 385 | #216 | — | 4 | 1 | no | — |
| 386 | #215 | — | 4 | 1 | no | — |
| 387 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 388 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 389 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 390 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 391 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 392 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 393 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 394 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 395 | (C2×D3)⋊C4 | C3×D4 | 1 | 1 | yes | characteristic |
| 396 | (C2×D3)⋊C4 | C3×D4 | 1 | 1 | yes | characteristic |
| 397 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 398 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 399 | C4⋊Dic3 | C3×D4 | 1 | 1 | yes | characteristic |
| 400 | C4⋊Dic3 | C23×C3 | 1 | 1 | yes | characteristic |
| 401 | C4⋊Dic3 | C23×C3 | 1 | 1 | yes | characteristic |
| 402 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 403 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 404 | C4×Dic3 | — | 2 | 1 | no | — |
| 405 | C4×Dic3 | — | 2 | 1 | no | — |
| 406 | C2×C3⋊C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 407 | C2×C3⋊C8 | C23×C3 | 1 | 1 | yes | characteristic |
| 408 | ΓL(1,𝔽25) | — | 4 | 1 | no | — |
| 409 | D3×C8 | — | 4 | 1 | no | — |
| 410 | C22×C32 | — | 2 | 2 | no | — |
| 411 | C22×C32 | — | 4 | 1 | no | — |
| 412 | C22×C32 | — | 4 | 1 | no | — |
| 413 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 414 | C2×C3×D3 | — | 2 | 1 | no | — |
| 415 | C2×C3×D3 | — | 2 | 1 | no | — |
| 416 | C2×C3×D3 | — | 2 | 1 | no | — |
| 417 | C2×C3×D3 | — | 2 | 1 | no | — |
| 418 | C2×C3×D3 | — | 2 | 1 | no | — |
| 419 | C2×C3×D3 | — | 2 | 1 | no | — |
| 420 | C2×C3×D3 | — | 4 | 1 | no | — |
| 421 | C2×C3×D3 | — | 4 | 1 | no | — |
| 422 | C2×C3×D3 | — | 4 | 1 | no | — |
| 423 | C2×C3×D3 | — | 8 | 4 | no | — |
| 424 | C32×C4 | — | 2 | 1 | no | — |
| 425 | C32×C4 | — | 2 | 1 | no | — |
| 426 | C32×C4 | — | 4 | 1 | no | — |
| 427 | C32×C4 | — | 4 | 1 | no | — |
| 428 | C32×C4 | — | 4 | 1 | no | — |
| 429 | C32×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 430 | C32×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 431 | C3×Dic3 | — | 2 | 1 | no | — |
| 432 | C3×Dic3 | — | 2 | 1 | no | — |
| 433 | C3×Dic3 | — | 4 | 1 | no | — |
| 434 | C3×Dic3 | — | 4 | 1 | no | — |
| 435 | C3×Dic3 | — | 4 | 1 | no | — |
| 436 | C2×#41 | — | 3 | 1 | no | — |
| 437 | C22×D4 | — | 3 | 1 | no | — |
| 438 | C2×Q16 | — | 3 | 1 | no | — |
| 439 | C2×SD16 | — | 3 | 1 | no | — |
| 440 | C2×SD16 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 441 | C2×M16 | — | 3 | 1 | no | — |
| 442 | C22×C8 | — | 3 | 1 | no | — |
| 443 | C4⋊Q8 | — | 3 | 1 | no | — |
| 444 | #126 | — | 6 | 1 | no | — |
| 445 | #126 | — | 6 | 1 | no | — |
| 446 | #124 | — | 3 | 1 | no | — |
| 447 | #124 | — | 6 | 1 | no | — |
| 448 | #123 | — | 6 | 1 | no | — |
| 449 | C22⋊Q8 | — | 3 | 1 | no | — |
| 450 | C22⋊Q8 | — | 3 | 1 | no | — |
| 451 | C22⋊Q8 | — | 3 | 1 | no | — |
| 452 | #121 | — | 3 | 1 | no | — |
| 453 | #121 | — | 6 | 1 | no | — |
| 454 | #120 | — | 6 | 1 | no | — |
| 455 | C4×Q8 | — | 6 | 1 | no | — |
| 456 | C4×Q8 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 457 | C4×D4 | — | 3 | 1 | no | — |
| 458 | C4×D4 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 459 | #117 | — | 3 | 1 | no | — |
| 460 | #117 | — | 3 | 1 | no | — |
| 461 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 462 | #107 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 463 | #106 | — | 3 | 1 | no | — |
| 464 | #106 | — | 3 | 1 | no | — |
| 465 | C4⋊C8 | — | 3 | 1 | no | — |
| 466 | #103 | — | 3 | 1 | no | — |
| 467 | #103 | — | 3 | 1 | no | — |
| 468 | #103 | — | 3 | 1 | no | — |
| 469 | #103 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 470 | #102 | — | 3 | 1 | no | — |
| 471 | #102 | — | 3 | 1 | no | — |
| 472 | #102 | — | 3 | 1 | no | — |
| 473 | #102 | — | 3 | 1 | no | — |
| 474 | #102 | — | 3 | 1 | no | — |
| 475 | #102 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 476 | C22⋊C8 | — | 3 | 1 | no | — |
| 477 | C22⋊C8 | — | 3 | 1 | no | — |
| 478 | #97 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 479 | C23×C3 | — | 2 | 1 | no | — |
| 480 | C23×C3 | — | 2 | 1 | no | — |
| 481 | C23×C3 | — | 3 | 1 | no | — |
| 482 | C23×C3 | — | 3 | 1 | no | — |
| 483 | C23×C3 | — | 4 | 1 | no | — |
| 484 | C23×C3 | — | 6 | 1 | no | — |
| 485 | C23×C3 | — | 12 | 2 | no | — |
| 486 | C23×C3 | — | 12 | 2 | no | — |
| 487 | C23×C3 | — | 24 | 1 | no | — |
| 488 | C22×D3 | — | 2 | 1 | no | — |
| 489 | C22×D3 | — | 4 | 2 | no | — |
| 490 | C22×D3 | — | 4 | 2 | no | — |
| 491 | C22×D3 | — | 8 | 1 | no | — |
| 492 | C22×D3 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 493 | C22×D3 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 494 | C3×Q8 | — | 2 | 2 | no | — |
| 495 | C3×Q8 | — | 2 | 1 | no | — |
| 496 | C3×Q8 | — | 2 | 1 | no | — |
| 497 | C3×Q8 | — | 2 | 1 | no | — |
| 498 | C3×Q8 | — | 2 | 1 | no | — |
| 499 | C3×Q8 | — | 4 | 1 | no | — |
| 500 | C3×Q8 | — | 6 | 1 | no | — |
| 501 | C3×Q8 | — | 6 | 1 | no | — |
| 502 | C3×Q8 | — | 12 | 2 | no | — |
| 503 | C3×D4 | — | 2 | 1 | no | — |
| 504 | C3×D4 | — | 2 | 1 | no | — |
| 505 | C3×D4 | — | 2 | 2 | no | — |
| 506 | C3×D4 | — | 4 | 1 | no | — |
| 507 | C3×D4 | — | 6 | 1 | no | — |
| 508 | C3×D4 | — | 6 | 1 | no | — |
| 509 | C3×D4 | — | 12 | 1 | no | — |
| 510 | C3×D4 | — | 12 | 2 | no | — |
| 511 | C3×D4 | — | 12 | 2 | no | — |
| 512 | C3×D4 | — | 24 | 1 | no | — |
| 513 | C3×D4 | #235 | 1 | 2 | yes | — |
| 514 | C3×D4 | C3×#41 | 1 | 2 | yes | — |
| 515 | C2×C3×C4 | — | 2 | 1 | no | — |
| 516 | C2×C3×C4 | — | 2 | 1 | no | — |
| 517 | C2×C3×C4 | — | 2 | 1 | no | — |
| 518 | C2×C3×C4 | — | 2 | 1 | no | — |
| 519 | C2×C3×C4 | — | 2 | 1 | no | — |
| 520 | C2×C3×C4 | — | 2 | 1 | no | — |
| 521 | C2×C3×C4 | — | 2 | 1 | no | — |
| 522 | C2×C3×C4 | — | 2 | 1 | no | — |
| 523 | C2×C3×C4 | — | 2 | 1 | no | — |
| 524 | C2×C3×C4 | — | 3 | 1 | no | — |
| 525 | C2×C3×C4 | — | 3 | 1 | no | — |
| 526 | C2×C3×C4 | — | 4 | 1 | no | — |
| 527 | C2×C3×C4 | — | 4 | 1 | no | — |
| 528 | C2×C3×C4 | — | 4 | 1 | no | — |
| 529 | C2×C3×C4 | — | 6 | 1 | no | — |
| 530 | C2×C3×C4 | — | 6 | 1 | no | — |
| 531 | C2×C3×C4 | — | 6 | 1 | no | — |
| 532 | C2×C3×C4 | — | 6 | 1 | no | — |
| 533 | C2×C3×C4 | — | 6 | 1 | no | — |
| 534 | C2×C3×C4 | — | 6 | 1 | no | — |
| 535 | C2×C3×C4 | — | 6 | 1 | no | — |
| 536 | C2×C3×C4 | — | 8 | 1 | no | — |
| 537 | C2×C3×C4 | — | 8 | 1 | no | — |
| 538 | C2×C3×C4 | — | 8 | 2 | no | — |
| 539 | C2×C3×C4 | — | 12 | 2 | no | — |
| 540 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 541 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 542 | C2×C3×C4 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 543 | C2×C3×C4 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 544 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 545 | C2×C3×C4 | C24×C3 | 1 | 1 | yes | characteristic |
| 546 | #67 | — | 4 | 2 | no | — |
| 547 | #67 | — | 4 | 2 | no | — |
| 548 | C2×Dic3 | — | 2 | 1 | no | — |
| 549 | C2×Dic3 | — | 2 | 1 | no | — |
| 550 | C2×Dic3 | — | 2 | 1 | no | — |
| 551 | C2×Dic3 | — | 4 | 2 | no | — |
| 552 | C2×Dic3 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 553 | C2×Dic3 | C2×C3×D4 | 1 | 1 | yes | characteristic |
| 554 | D12 | — | 2 | 1 | no | — |
| 555 | D12 | — | 2 | 1 | no | — |
| 556 | D12 | — | 4 | 1 | no | — |
| 557 | D12 | — | 8 | 1 | no | — |
| 558 | C4×D3 | — | 2 | 1 | no | — |
| 559 | C4×D3 | — | 2 | 1 | no | — |
| 560 | C4×D3 | — | 2 | 1 | no | — |
| 561 | C4×D3 | — | 2 | 1 | no | — |
| 562 | Dic6 | — | 2 | 1 | no | — |
| 563 | Dic6 | — | 2 | 1 | no | — |
| 564 | Dic6 | — | 4 | 2 | no | — |
| 565 | C3×C8 | — | 2 | 2 | no | — |
| 566 | C3×C8 | — | 2 | 1 | no | — |
| 567 | C3×C8 | — | 2 | 1 | no | — |
| 568 | C3×C8 | — | 2 | 1 | no | — |
| 569 | C3×C8 | — | 2 | 1 | no | — |
| 570 | C3×C8 | — | 4 | 1 | no | — |
| 571 | C3×C8 | — | 6 | 1 | no | — |
| 572 | C3×C8 | — | 6 | 1 | no | — |
| 573 | C3⋊C8 | — | 2 | 1 | no | — |
| 574 | C3⋊C8 | — | 2 | 1 | no | — |
| 575 | C2×C32 | — | 4 | 2 | no | — |
| 576 | C2×C32 | #546 | 1 | 1 | yes | characteristic |
| 577 | C2×C32 | #575 | 1 | 1 | yes | characteristic |
| 578 | C2×C32 | #577 | 1 | 1 | yes | characteristic |
| 579 | C3×D3 | — | 4 | 1 | no | — |
| 580 | C3×D3 | — | 4 | 1 | no | — |
| 581 | C3×D3 | — | 8 | 1 | no | — |
| 582 | C24 | — | 6 | 1 | no | — |
| 583 | #41 | — | 6 | 2 | no | — |
| 584 | #41 | — | 12 | 1 | no | — |
| 585 | C2×Q8 | — | 3 | 1 | no | — |
| 586 | C2×Q8 | — | 6 | 1 | no | — |
| 587 | C2×Q8 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 588 | C2×D4 | — | 3 | 1 | no | — |
| 589 | C2×D4 | — | 3 | 1 | no | — |
| 590 | C2×D4 | — | 6 | 1 | no | — |
| 591 | C2×D4 | — | 6 | 1 | no | — |
| 592 | C2×D4 | — | 6 | 2 | no | — |
| 593 | C2×D4 | — | 6 | 1 | no | — |
| 594 | C2×D4 | — | 12 | 1 | no | — |
| 595 | C2×D4 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 596 | C22×C4 | — | 2 | 1 | no | — |
| 597 | C22×C4 | — | 3 | 1 | no | — |
| 598 | C22×C4 | — | 3 | 1 | no | — |
| 599 | C22×C4 | — | 6 | 1 | no | — |
| 600 | Q16 | — | 12 | 1 | no | — |
| 601 | SD16 | — | 2 | 2 | no | — |
| 602 | SD16 | — | 12 | 1 | no | — |
| 603 | M16 | — | 12 | 1 | no | — |
| 604 | C2×C8 | — | 3 | 1 | no | — |
| 605 | C2×C8 | — | 3 | 1 | no | — |
| 606 | C2×C8 | — | 12 | 1 | no | — |
| 607 | C2×C8 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 608 | C2×C8 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 609 | C4⋊C4 | — | 2 | 1 | no | — |
| 610 | C4⋊C4 | — | 3 | 1 | no | — |
| 611 | C4⋊C4 | — | 3 | 1 | no | — |
| 612 | C4⋊C4 | — | 3 | 1 | no | — |
| 613 | C4⋊C4 | — | 6 | 1 | no | — |
| 614 | C4⋊C4 | — | 6 | 1 | no | — |
| 615 | C4⋊C4 | — | 6 | 1 | no | — |
| 616 | C4⋊C4 | — | 6 | 1 | no | — |
| 617 | C4⋊C4 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 618 | C4⋊C4 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 619 | C22⋊C4 | — | 2 | 1 | no | — |
| 620 | C22⋊C4 | — | 3 | 1 | no | — |
| 621 | C22⋊C4 | — | 3 | 1 | no | — |
| 622 | C22⋊C4 | — | 6 | 1 | no | — |
| 623 | C22⋊C4 | — | 6 | 1 | no | — |
| 624 | C22⋊C4 | — | 6 | 1 | no | — |
| 625 | C22⋊C4 | — | 6 | 1 | no | — |
| 626 | C22⋊C4 | — | 6 | 1 | no | — |
| 627 | C22⋊C4 | — | 6 | 1 | no | — |
| 628 | C22⋊C4 | — | 6 | 1 | no | — |
| 629 | C22⋊C4 | — | 6 | 1 | no | — |
| 630 | C42 | — | 2 | 1 | no | — |
| 631 | C42 | — | 6 | 1 | no | — |
| 632 | C42 | — | 6 | 1 | no | — |
| 633 | C42 | C22×C3×D3 | 1 | 1 | yes | characteristic |
| 634 | C22×C3 | — | 2 | 2 | no | — |
| 635 | C22×C3 | — | 2 | 2 | no | — |
| 636 | C22×C3 | — | 2 | 1 | no | — |
| 637 | C22×C3 | — | 4 | 2 | no | — |
| 638 | C22×C3 | — | 4 | 1 | no | — |
| 639 | C22×C3 | — | 4 | 1 | no | — |
| 640 | C22×C3 | — | 4 | 1 | no | — |
| 641 | C22×C3 | — | 4 | 1 | no | — |
| 642 | C22×C3 | — | 6 | 1 | no | — |
| 643 | C22×C3 | — | 6 | 1 | no | — |
| 644 | C22×C3 | — | 6 | 1 | no | — |
| 645 | C22×C3 | — | 6 | 1 | no | — |
| 646 | C22×C3 | — | 6 | 1 | no | — |
| 647 | C22×C3 | — | 6 | 1 | no | — |
| 648 | C22×C3 | — | 8 | 1 | no | — |
| 649 | C22×C3 | — | 8 | 1 | no | — |
| 650 | C22×C3 | — | 12 | 1 | no | — |
| 651 | C22×C3 | — | 12 | 1 | no | — |
| 652 | C22×C3 | — | 12 | 1 | no | — |
| 653 | C22×C3 | — | 24 | 4 | no | — |
| 654 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 655 | C22×C3 | C22×C3×D4 | 1 | 1 | yes | characteristic |
| 656 | C2×D3 | — | 2 | 1 | no | — |
| 657 | C2×D3 | — | 2 | 1 | no | — |
| 658 | C2×D3 | — | 2 | 1 | no | — |
| 659 | C2×D3 | — | 2 | 1 | no | — |
| 660 | C2×D3 | — | 2 | 1 | no | — |
| 661 | C2×D3 | — | 2 | 1 | no | — |
| 662 | C2×D3 | — | 4 | 1 | no | — |
| 663 | C2×D3 | — | 4 | 1 | no | — |
| 664 | C2×D3 | — | 4 | 1 | no | — |
| 665 | C2×D3 | — | 8 | 4 | no | — |
| 666 | C3×C4 | — | 2 | 1 | no | — |
| 667 | C3×C4 | — | 2 | 1 | no | — |
| 668 | C3×C4 | — | 2 | 1 | no | — |
| 669 | C3×C4 | — | 2 | 1 | no | — |
| 670 | C3×C4 | — | 2 | 1 | no | — |
| 671 | C3×C4 | — | 2 | 1 | no | — |
| 672 | C3×C4 | — | 4 | 1 | no | — |
| 673 | C3×C4 | — | 4 | 1 | no | — |
| 674 | C3×C4 | — | 4 | 2 | no | — |
| 675 | C3×C4 | — | 4 | 1 | no | — |
| 676 | C3×C4 | — | 4 | 1 | no | — |
| 677 | C3×C4 | — | 4 | 1 | no | — |
| 678 | C3×C4 | — | 4 | 1 | no | — |
| 679 | C3×C4 | — | 4 | 1 | no | — |
| 680 | C3×C4 | — | 4 | 1 | no | — |
| 681 | C3×C4 | — | 6 | 1 | no | — |
| 682 | C3×C4 | — | 6 | 1 | no | — |
| 683 | C3×C4 | — | 8 | 1 | no | — |
| 684 | C3×C4 | — | 8 | 1 | no | — |
| 685 | C3×C4 | — | 12 | 1 | no | — |
| 686 | C3×C4 | — | 12 | 1 | no | — |
| 687 | C3×C4 | — | 12 | 1 | no | — |
| 688 | C3×C4 | C2×#235 | 1 | 1 | yes | characteristic |
| 689 | C3×C4 | #1009 | 1 | 1 | yes | characteristic |
| 690 | C3×C4 | C2×C3×#41 | 1 | 1 | yes | characteristic |
| 691 | C3×C4 | C3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 692 | Dic3 | — | 2 | 1 | no | — |
| 693 | Dic3 | — | 2 | 1 | no | — |
| 694 | Dic3 | — | 4 | 1 | no | — |
| 695 | Dic3 | — | 4 | 1 | no | — |
| 696 | Dic3 | — | 4 | 1 | no | — |
| 697 | C32 | #3311 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 698 | C23 | — | 2 | 1 | no | — |
| 699 | C23 | — | 3 | 1 | no | — |
| 700 | C23 | — | 3 | 1 | no | — |
| 701 | C23 | — | 6 | 1 | no | — |
| 702 | C23 | — | 12 | 2 | no | — |
| 703 | C23 | — | 12 | 2 | no | — |
| 704 | C23 | — | 24 | 1 | no | — |
| 705 | Q8 | — | 2 | 1 | no | — |
| 706 | Q8 | — | 2 | 1 | no | — |
| 707 | Q8 | — | 6 | 1 | no | — |
| 708 | Q8 | — | 6 | 1 | no | — |
| 709 | Q8 | — | 12 | 2 | no | — |
| 710 | D4 | — | 2 | 1 | no | — |
| 711 | D4 | — | 6 | 1 | no | — |
| 712 | D4 | — | 6 | 1 | no | — |
| 713 | D4 | — | 12 | 1 | no | — |
| 714 | D4 | — | 12 | 2 | no | — |
| 715 | D4 | — | 12 | 2 | no | — |
| 716 | D4 | — | 24 | 1 | no | — |
| 717 | D4 | C3×#235 | 1 | 2 | yes | — |
| 718 | C2×C4 | — | 2 | 1 | no | — |
| 719 | C2×C4 | — | 2 | 1 | no | — |
| 720 | C2×C4 | — | 2 | 1 | no | — |
| 721 | C2×C4 | — | 3 | 1 | no | — |
| 722 | C2×C4 | — | 3 | 1 | no | — |
| 723 | C2×C4 | — | 6 | 1 | no | — |
| 724 | C2×C4 | — | 6 | 1 | no | — |
| 725 | C2×C4 | — | 6 | 1 | no | — |
| 726 | C2×C4 | — | 6 | 1 | no | — |
| 727 | C2×C4 | — | 6 | 1 | no | — |
| 728 | C2×C4 | — | 6 | 1 | no | — |
| 729 | C2×C4 | — | 6 | 1 | no | — |
| 730 | C2×C4 | — | 8 | 1 | no | — |
| 731 | C2×C4 | — | 12 | 2 | no | — |
| 732 | C2×C4 | C3×D3×D4 | 1 | 1 | yes | characteristic |
| 733 | C2×C4 | C3×D3×D4 | 1 | 1 | yes | characteristic |
| 734 | C2×C4 | C23×C3×D3 | 1 | 1 | yes | characteristic |
| 735 | C8 | — | 2 | 1 | no | — |
| 736 | C8 | — | 2 | 1 | no | — |
| 737 | C8 | — | 6 | 1 | no | — |
| 738 | C8 | — | 6 | 1 | no | — |
| 739 | C2×C3 | — | 2 | 1 | no | — |
| 740 | C2×C3 | — | 2 | 1 | no | — |
| 741 | C2×C3 | — | 2 | 1 | no | — |
| 742 | C2×C3 | — | 4 | 2 | no | — |
| 743 | C2×C3 | — | 4 | 2 | no | — |
| 744 | C2×C3 | — | 8 | 2 | no | — |
| 745 | C2×C3 | — | 12 | 1 | no | — |
| 746 | C2×C3 | — | 12 | 1 | no | — |
| 747 | C2×C3 | — | 24 | 1 | no | — |
| 748 | C2×C3 | #5550 | 1 | 1 | yes | characteristic |
| 749 | C2×C3 | #5775 | 1 | 1 | yes | characteristic |
| 750 | C2×C3 | #5777 | 1 | 1 | yes | characteristic |
| 751 | C2×C3 | C3×#546 | 1 | 1 | yes | characteristic |
| 752 | C2×C3 | C3×#575 | 1 | 1 | yes | characteristic |
| 753 | C2×C3 | C3×#577 | 1 | 1 | yes | characteristic |
| 754 | D3 | — | 4 | 1 | no | — |
| 755 | D3 | — | 4 | 1 | no | — |
| 756 | D3 | — | 8 | 1 | no | — |
| 757 | C22 | — | 2 | 2 | no | — |
| 758 | C22 | — | 4 | 1 | no | — |
| 759 | C22 | — | 4 | 1 | no | — |
| 760 | C22 | — | 6 | 1 | no | — |
| 761 | C22 | — | 6 | 1 | no | — |
| 762 | C22 | — | 6 | 1 | no | — |
| 763 | C22 | — | 6 | 1 | no | — |
| 764 | C22 | — | 6 | 1 | no | — |
| 765 | C22 | — | 6 | 1 | no | — |
| 766 | C22 | — | 12 | 1 | no | — |
| 767 | C22 | — | 12 | 1 | no | — |
| 768 | C22 | — | 12 | 1 | no | — |
| 769 | C22 | — | 24 | 4 | no | — |
| 770 | C22 | C2×C3×D3×D4 | 1 | 1 | yes | characteristic |
| 771 | C4 | — | 2 | 1 | no | — |
| 772 | C4 | — | 2 | 1 | no | — |
| 773 | C4 | — | 4 | 1 | no | — |
| 774 | C4 | — | 4 | 1 | no | — |
| 775 | C4 | — | 4 | 1 | no | — |
| 776 | C4 | — | 6 | 1 | no | — |
| 777 | C4 | — | 6 | 1 | no | — |
| 778 | C4 | — | 12 | 1 | no | — |
| 779 | C4 | — | 12 | 1 | no | — |
| 780 | C4 | — | 12 | 1 | no | — |
| 781 | C4 | C2×C3×#235 | 1 | 1 | yes | characteristic |
| 782 | C4 | C3×#1009 | 1 | 1 | yes | characteristic |
| 783 | C3 | — | 2 | 1 | no | — |
| 784 | C3 | #79801 | 1 | 1 | yes | characteristic, direct product factor |
| 785 | C3 | C3×#3311 | 1 | 1 | yes | characteristic, complemented |
| 786 | C2 | — | 4 | 2 | no | — |
| 787 | C2 | — | 12 | 1 | no | — |
| 788 | C2 | — | 12 | 1 | no | — |
| 789 | C2 | — | 24 | 1 | no | — |
| 790 | C2 | C3×#5550 | 1 | 1 | yes | characteristic |
| 791 | C2 | C3×#5775 | 1 | 1 | yes | characteristic |
| 792 | C2 | C3×#5777 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta