| 1 | #23773870 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #23772316 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #23772260 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #23764298 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #23763935 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #23763930 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #23763924 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #23763919 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #23763892 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #23763885 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #23763883 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #23763876 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #23763525 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #23763155 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C79×#1977 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#14579192 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#14579187 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14579183 | C22 | 1 | 1 | yes | characteristic |
| 19 | #19099329 | C22 | 1 | 1 | yes | characteristic |
| 20 | #19099329 | C22 | 1 | 1 | yes | characteristic |
| 21 | #19099137 | C22 | 1 | 1 | yes | characteristic |
| 22 | #19099130 | C22 | 1 | 1 | yes | characteristic |
| 23 | #19099041 | C22 | 1 | 1 | yes | characteristic |
| 24 | #19099038 | C22 | 1 | 1 | yes | characteristic |
| 25 | #19098954 | C4 | 1 | 2 | yes | complemented |
| 26 | #19098949 | C4 | 1 | 2 | yes | complemented |
| 27 | #19098944 | C4 | 1 | 2 | yes | complemented |
| 28 | #19098934 | C4 | 1 | 2 | yes | complemented |
| 29 | #19098684 | — | 2 | 2 | no | — |
| 30 | #19098679 | — | 2 | 2 | no | — |
| 31 | #19098664 | — | 2 | 2 | no | — |
| 32 | SD16×Dic79 | — | 2 | 2 | no | — |
| 33 | #19098601 | C22 | 1 | 1 | yes | characteristic |
| 34 | #19098579 | C22 | 1 | 1 | yes | characteristic |
| 35 | #19098579 | C22 | 1 | 1 | yes | characteristic |
| 36 | #19098579 | C22 | 1 | 1 | yes | characteristic |
| 37 | #19098579 | C22 | 1 | 1 | yes | characteristic |
| 38 | #19098572 | C22 | 1 | 1 | yes | characteristic |
| 39 | #19098568 | C22 | 1 | 1 | yes | characteristic |
| 40 | #19098536 | C22 | 1 | 1 | yes | characteristic |
| 41 | #19098536 | C22 | 1 | 1 | yes | characteristic |
| 42 | #19098518 | C22 | 1 | 1 | yes | characteristic |
| 43 | #19098518 | C22 | 1 | 1 | yes | characteristic |
| 44 | #19098335 | C22 | 1 | 1 | yes | characteristic |
| 45 | #19098335 | C22 | 1 | 1 | yes | characteristic |
| 46 | C79⋊#338 | C22 | 1 | 1 | yes | characteristic |
| 47 | #19098320 | C22 | 1 | 1 | yes | characteristic |
| 48 | #19098320 | C22 | 1 | 1 | yes | characteristic |
| 49 | #19098320 | C22 | 1 | 1 | yes | characteristic |
| 50 | #19098319 | C22 | 1 | 1 | yes | characteristic |
| 51 | #19098319 | C22 | 1 | 1 | yes | characteristic |
| 52 | C22×SD16×C79 | C22 | 1 | 1 | yes | characteristic |
| 53 | C2×#108×C79 | C22 | 1 | 1 | yes | characteristic |
| 54 | #419×C79 | C22 | 1 | 1 | yes | characteristic |
| 55 | #418×C79 | C22 | 1 | 1 | yes | characteristic |
| 56 | C2×#101×C79 | C22 | 1 | 1 | yes | characteristic |
| 57 | C2×#100×C79 | C22 | 1 | 1 | yes | characteristic |
| 58 | #405×C79 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×#11929624 | C23 | 1 | 1 | yes | characteristic |
| 60 | C2×#11929624 | C23 | 1 | 1 | yes | characteristic |
| 61 | #14579192 | — | 4 | 1 | no | — |
| 62 | #14579192 | — | 4 | 1 | no | — |
| 63 | #14579187 | — | 4 | 1 | no | — |
| 64 | #14579187 | — | 4 | 1 | no | — |
| 65 | #14579183 | — | 2 | 1 | no | — |
| 66 | #14579183 | — | 2 | 1 | no | — |
| 67 | #14579183 | — | 2 | 1 | no | — |
| 68 | #14579183 | — | 2 | 1 | no | — |
| 69 | C2×Dic316 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 70 | C2×#11929614 | C2×C4 | 1 | 2 | yes | complemented |
| 71 | C2×#11929613 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 72 | C2×#11929613 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 73 | C2×#11929612 | C2×C4 | 1 | 2 | yes | — |
| 74 | C2×#11929611 | C2×C4 | 1 | 2 | yes | complemented |
| 75 | C2×D632 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 76 | C2×#11929609 | C2×C4 | 1 | 2 | yes | — |
| 77 | #14579169 | — | 2 | 2 | no | — |
| 78 | #14579169 | — | 2 | 2 | no | — |
| 79 | #14579167 | — | 4 | 1 | no | — |
| 80 | #14579167 | — | 4 | 1 | no | — |
| 81 | C2×#11929608 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×#11929608 | C23 | 1 | 1 | yes | characteristic |
| 83 | M16×D79 | — | 4 | 1 | no | — |
| 84 | M16×D79 | — | 4 | 1 | no | — |
| 85 | #14579159 | C2×C4 | 1 | 2 | yes | complemented |
| 86 | #14579157 | C2×C4 | 1 | 2 | yes | — |
| 87 | #14579150 | C2×C4 | 1 | 2 | yes | complemented |
| 88 | #14579148 | C2×C4 | 1 | 2 | yes | — |
| 89 | #14579144 | — | 4 | 1 | no | — |
| 90 | #14579137 | — | 4 | 1 | no | — |
| 91 | #14579132 | — | 4 | 1 | no | — |
| 92 | #14579130 | — | 4 | 1 | no | — |
| 93 | Q8×Dic79 | — | 2 | 2 | no | — |
| 94 | Q8×Dic79 | — | 4 | 1 | no | — |
| 95 | D4×Dic79 | — | 2 | 2 | no | — |
| 96 | D4×Dic79 | — | 4 | 1 | no | — |
| 97 | #14579120 | — | 4 | 1 | no | — |
| 98 | #14579120 | C23 | 1 | 1 | yes | characteristic |
| 99 | #14579120 | C23 | 1 | 1 | yes | characteristic |
| 100 | #14579120 | C23 | 1 | 1 | yes | characteristic |
| 101 | #14579120 | C23 | 1 | 1 | yes | characteristic |
| 102 | C2×C22⋊Dic79 | — | 4 | 1 | no | — |
| 103 | #14579095 | — | 2 | 1 | no | — |
| 104 | #14579093 | — | 2 | 1 | no | — |
| 105 | #14579087 | — | 2 | 2 | no | — |
| 106 | #14579087 | — | 2 | 2 | no | — |
| 107 | #14579087 | — | 4 | 1 | no | — |
| 108 | #14579087 | — | 4 | 1 | no | — |
| 109 | #14579085 | — | 2 | 2 | no | — |
| 110 | #14579082 | — | 2 | 2 | no | — |
| 111 | #14579075 | — | 4 | 1 | no | — |
| 112 | #14579075 | — | 4 | 1 | no | — |
| 113 | #14579071 | C2×C4 | 1 | 2 | yes | complemented |
| 114 | #14579071 | D4 | 1 | 2 | yes | complemented |
| 115 | C8×Dic79 | C2×C4 | 1 | 2 | yes | complemented |
| 116 | C8×Dic79 | D4 | 1 | 2 | yes | complemented |
| 117 | C22×Q8×C79 | C23 | 1 | 1 | yes | characteristic |
| 118 | C22×D4×C79 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×SD16×C79 | — | 2 | 1 | no | — |
| 120 | C2×SD16×C79 | — | 2 | 1 | no | — |
| 121 | C2×SD16×C79 | — | 2 | 1 | no | — |
| 122 | C2×SD16×C79 | — | 2 | 1 | no | — |
| 123 | C2×SD16×C79 | C2×C4 | 1 | 2 | yes | — |
| 124 | C2×SD16×C79 | C2×C4 | 1 | 2 | yes | — |
| 125 | C2×M16×C79 | C23 | 1 | 1 | yes | characteristic |
| 126 | C2×M16×C79 | C23 | 1 | 1 | yes | characteristic |
| 127 | C2×M16×C79 | C23 | 1 | 1 | yes | characteristic |
| 128 | C22×C8×C79 | C23 | 1 | 1 | yes | characteristic |
| 129 | #117×C79 | C23 | 1 | 1 | yes | characteristic |
| 130 | #108×C79 | — | 2 | 1 | no | — |
| 131 | #108×C79 | — | 2 | 1 | no | — |
| 132 | #103×C79 | — | 4 | 1 | no | — |
| 133 | #102×C79 | — | 4 | 1 | no | — |
| 134 | #101×C79 | — | 4 | 1 | no | — |
| 135 | #100×C79 | — | 4 | 1 | no | — |
| 136 | #97×C79 | — | 2 | 1 | no | — |
| 137 | C4×C8×C79 | — | 2 | 1 | no | — |
| 138 | #11929624 | — | 2 | 1 | no | — |
| 139 | #11929624 | — | 2 | 1 | no | — |
| 140 | #11929624 | — | 2 | 1 | no | — |
| 141 | #11929624 | — | 2 | 1 | no | — |
| 142 | #11929624 | — | 2 | 1 | no | — |
| 143 | #11929624 | — | 2 | 1 | no | — |
| 144 | #11929624 | — | 2 | 1 | no | — |
| 145 | #11929624 | — | 2 | 1 | no | — |
| 146 | C2×Dic158 | C22×C4 | 1 | 1 | yes | characteristic |
| 147 | C2×Dic158 | C22×C4 | 1 | 1 | yes | characteristic |
| 148 | C2×D316 | C22×C4 | 1 | 1 | yes | characteristic |
| 149 | C2×D316 | C22×C4 | 1 | 1 | yes | characteristic |
| 150 | C2×C22⋊D79 | — | 2 | 1 | no | — |
| 151 | C2×C22⋊D79 | — | 2 | 1 | no | — |
| 152 | C2×C22⋊D79 | — | 4 | 2 | no | — |
| 153 | C22×Dic79 | — | 4 | 2 | no | — |
| 154 | C2×C4×D79 | — | 2 | 1 | no | — |
| 155 | C2×C4×D79 | — | 2 | 1 | no | — |
| 156 | Dic316 | — | 2 | 1 | no | — |
| 157 | Dic316 | — | 2 | 1 | no | — |
| 158 | #11929614 | — | 4 | 2 | no | — |
| 159 | #11929613 | — | 2 | 1 | no | — |
| 160 | #11929613 | — | 2 | 1 | no | — |
| 161 | #11929613 | — | 2 | 1 | no | — |
| 162 | #11929613 | — | 2 | 1 | no | — |
| 163 | #11929612 | — | 4 | 2 | no | — |
| 164 | #11929611 | — | 4 | 2 | no | — |
| 165 | D632 | — | 2 | 1 | no | — |
| 166 | D632 | — | 2 | 1 | no | — |
| 167 | #11929609 | — | 4 | 2 | no | — |
| 168 | #11929608 | — | 2 | 1 | no | — |
| 169 | #11929608 | — | 2 | 1 | no | — |
| 170 | #11929608 | — | 2 | 1 | no | — |
| 171 | #11929608 | — | 2 | 1 | no | — |
| 172 | #11929607 | — | 4 | 2 | no | — |
| 173 | #11929607 | — | 4 | 2 | no | — |
| 174 | C2×C79⋊C8 | C22×C4 | 1 | 2 | yes | — |
| 175 | C2×C79⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 176 | C8×D79 | — | 4 | 2 | no | — |
| 177 | C8×D79 | — | 4 | 2 | no | — |
| 178 | C4⋊Dic79 | — | 2 | 1 | no | — |
| 179 | C4⋊Dic79 | — | 2 | 1 | no | — |
| 180 | C4⋊Dic79 | — | 2 | 1 | no | — |
| 181 | C4⋊Dic79 | — | 2 | 1 | no | — |
| 182 | C4⋊Dic79 | — | 4 | 2 | no | — |
| 183 | Dic79⋊C4 | — | 4 | 2 | no | — |
| 184 | C22⋊Dic79 | — | 2 | 1 | no | — |
| 185 | C22⋊Dic79 | — | 2 | 1 | no | — |
| 186 | C22⋊Dic79 | — | 2 | 1 | no | — |
| 187 | C22⋊Dic79 | — | 2 | 1 | no | — |
| 188 | C22⋊Dic79 | — | 4 | 2 | no | — |
| 189 | C22⋊Dic79 | — | 4 | 2 | no | — |
| 190 | (C2×D79)⋊C4 | — | 4 | 2 | no | — |
| 191 | C4×Dic79 | — | 2 | 1 | no | — |
| 192 | C4×Dic79 | — | 2 | 1 | no | — |
| 193 | C4×Dic79 | — | 4 | 2 | no | — |
| 194 | C4×Dic79 | C22×C4 | 1 | 2 | yes | — |
| 195 | C4×Dic79 | C2×D4 | 1 | 2 | yes | — |
| 196 | C24×C79 | — | 2 | 1 | no | — |
| 197 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 198 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 199 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 200 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 201 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 202 | C2×Q8×C79 | C22×C4 | 1 | 2 | yes | — |
| 203 | C2×D4×C79 | — | 2 | 1 | no | — |
| 204 | C2×D4×C79 | — | 2 | 1 | no | — |
| 205 | C2×D4×C79 | — | 2 | 1 | no | — |
| 206 | C2×D4×C79 | — | 2 | 1 | no | — |
| 207 | C2×D4×C79 | — | 2 | 1 | no | — |
| 208 | C2×D4×C79 | C22×C4 | 1 | 2 | yes | — |
| 209 | C22×C4×C79 | — | 2 | 1 | no | — |
| 210 | C22×C4×C79 | C24 | 1 | 1 | yes | characteristic |
| 211 | SD16×C79 | — | 2 | 2 | no | — |
| 212 | SD16×C79 | — | 2 | 2 | no | — |
| 213 | SD16×C79 | — | 2 | 2 | no | — |
| 214 | SD16×C79 | — | 2 | 2 | no | — |
| 215 | M16×C79 | — | 2 | 1 | no | — |
| 216 | M16×C79 | — | 2 | 1 | no | — |
| 217 | M16×C79 | — | 2 | 1 | no | — |
| 218 | M16×C79 | — | 2 | 1 | no | — |
| 219 | M16×C79 | — | 2 | 1 | no | — |
| 220 | M16×C79 | — | 2 | 1 | no | — |
| 221 | C2×C8×C79 | — | 2 | 1 | no | — |
| 222 | C2×C8×C79 | — | 2 | 1 | no | — |
| 223 | C2×C8×C79 | — | 2 | 1 | no | — |
| 224 | C2×C8×C79 | C22×C4 | 1 | 1 | yes | characteristic |
| 225 | C2×C8×C79 | C22×C4 | 1 | 1 | yes | characteristic |
| 226 | C2×C8×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | C2×C8×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C2×C8×C79 | #41 | 1 | 1 | yes | characteristic |
| 229 | C2×C8×C79 | #41 | 1 | 1 | yes | characteristic |
| 230 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 231 | C22⋊C4×C79 | — | 2 | 1 | no | — |
| 232 | C42×C79 | — | 2 | 1 | no | — |
| 233 | C23×C79 | — | 2 | 2 | no | — |
| 234 | C23×C79 | — | 4 | 1 | no | — |
| 235 | C23×C79 | — | 4 | 1 | no | — |
| 236 | C23×C79 | — | 16 | 1 | no | — |
| 237 | C23×C79 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 238 | C22×D79 | — | 2 | 1 | no | — |
| 239 | C22×D79 | — | 2 | 1 | no | — |
| 240 | Q8×C79 | — | 2 | 2 | no | — |
| 241 | Q8×C79 | — | 2 | 2 | no | — |
| 242 | Q8×C79 | — | 4 | 1 | no | — |
| 243 | Q8×C79 | — | 4 | 1 | no | — |
| 244 | D4×C79 | — | 2 | 2 | no | — |
| 245 | D4×C79 | — | 2 | 2 | no | — |
| 246 | D4×C79 | — | 4 | 1 | no | — |
| 247 | D4×C79 | — | 4 | 1 | no | — |
| 248 | C2×C4×C79 | — | 2 | 2 | no | — |
| 249 | C2×C4×C79 | — | 4 | 1 | no | — |
| 250 | C2×C4×C79 | — | 4 | 1 | no | — |
| 251 | C2×C4×C79 | — | 4 | 1 | no | — |
| 252 | C2×C4×C79 | C23×C4 | 1 | 1 | yes | characteristic |
| 253 | C2×C4×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×C4×C79 | C2×#41 | 1 | 1 | yes | characteristic |
| 255 | C2×C4×C79 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 256 | C2×C4×C79 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 257 | C2×C4×C79 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 258 | C22⋊D79 | — | 4 | 1 | no | — |
| 259 | C22⋊D79 | — | 4 | 1 | no | — |
| 260 | C22⋊D79 | — | 4 | 1 | no | — |
| 261 | C22⋊D79 | — | 4 | 1 | no | — |
| 262 | C22⋊D79 | — | 16 | 2 | no | — |
| 263 | C2×Dic79 | — | 2 | 2 | no | — |
| 264 | C2×Dic79 | — | 2 | 1 | no | — |
| 265 | C2×Dic79 | — | 2 | 1 | no | — |
| 266 | C2×Dic79 | — | 2 | 2 | no | — |
| 267 | C2×Dic79 | — | 4 | 1 | no | — |
| 268 | C2×Dic79 | — | 4 | 1 | no | — |
| 269 | C2×Dic79 | — | 16 | 2 | no | — |
| 270 | D316 | — | 2 | 1 | no | — |
| 271 | D316 | — | 2 | 1 | no | — |
| 272 | D316 | — | 2 | 1 | no | — |
| 273 | D316 | — | 2 | 1 | no | — |
| 274 | C4×D79 | — | 4 | 1 | no | — |
| 275 | C4×D79 | — | 4 | 1 | no | — |
| 276 | C4×D79 | — | 4 | 1 | no | — |
| 277 | C4×D79 | — | 4 | 1 | no | — |
| 278 | Dic158 | — | 2 | 1 | no | — |
| 279 | Dic158 | — | 2 | 1 | no | — |
| 280 | Dic158 | — | 2 | 1 | no | — |
| 281 | Dic158 | — | 2 | 1 | no | — |
| 282 | C8×C79 | — | 4 | 1 | no | — |
| 283 | C8×C79 | — | 4 | 1 | no | — |
| 284 | C8×C79 | — | 4 | 1 | no | — |
| 285 | C8×C79 | C4×D4 | 1 | 1 | yes | characteristic |
| 286 | C8×C79 | C4×D4 | 1 | 1 | yes | characteristic |
| 287 | C8×C79 | C4×D4 | 1 | 1 | yes | characteristic |
| 288 | C8×C79 | C4×D4 | 1 | 1 | yes | characteristic |
| 289 | C79⋊C8 | — | 2 | 2 | no | — |
| 290 | C79⋊C8 | — | 2 | 2 | no | — |
| 291 | C22×C79 | — | 4 | 1 | no | — |
| 292 | C22×C79 | — | 4 | 2 | no | — |
| 293 | C22×C79 | — | 8 | 2 | no | — |
| 294 | C22×C79 | — | 8 | 2 | no | — |
| 295 | C22×C79 | — | 16 | 1 | no | — |
| 296 | C22×C79 | #518 | 1 | 1 | yes | characteristic |
| 297 | C22×C79 | #535 | 1 | 1 | yes | characteristic |
| 298 | C22×C79 | #540 | 1 | 1 | yes | characteristic |
| 299 | C2×D79 | — | 4 | 1 | no | — |
| 300 | C2×D79 | — | 4 | 1 | no | — |
| 301 | C2×D79 | — | 8 | 1 | no | — |
| 302 | C2×D79 | — | 8 | 1 | no | — |
| 303 | C4×C79 | — | 4 | 2 | no | — |
| 304 | C4×C79 | — | 8 | 1 | no | — |
| 305 | C4×C79 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 306 | C4×C79 | #518 | 1 | 1 | yes | characteristic |
| 307 | C4×C79 | #535 | 1 | 1 | yes | characteristic |
| 308 | C4×C79 | #540 | 1 | 1 | yes | characteristic |
| 309 | Dic79 | — | 4 | 2 | no | — |
| 310 | Dic79 | — | 4 | 2 | no | — |
| 311 | Dic79 | — | 4 | 1 | no | — |
| 312 | Dic79 | — | 4 | 1 | no | — |
| 313 | Dic79 | — | 8 | 1 | no | — |
| 314 | Dic79 | — | 8 | 1 | no | — |
| 315 | #22284 | — | 79 | 1 | no | maximal, Sylow |
| 316 | C2×C79 | — | 2 | 1 | no | — |
| 317 | C2×C79 | — | 2 | 1 | no | — |
| 318 | C2×C79 | — | 2 | 1 | no | — |
| 319 | C2×C79 | — | 8 | 2 | no | — |
| 320 | C2×C79 | #2328 | 1 | 1 | yes | characteristic |
| 321 | D79 | — | 8 | 1 | no | — |
| 322 | D79 | — | 8 | 1 | no | — |
| 323 | #3154 | — | 79 | 1 | no | — |
| 324 | #2957 | — | 79 | 1 | no | — |
| 325 | #2949 | — | 79 | 1 | no | — |
| 326 | #1977 | D79 | 1 | 1 | yes | characteristic, complemented |
| 327 | #1976 | — | 79 | 1 | no | — |
| 328 | #1912 | — | 79 | 1 | no | — |
| 329 | #1911 | — | 79 | 1 | no | — |
| 330 | #1910 | — | 79 | 1 | no | — |
| 331 | #1909 | — | 79 | 1 | no | — |
| 332 | #1905 | — | 79 | 1 | no | — |
| 333 | #1904 | — | 79 | 1 | no | — |
| 334 | #1903 | — | 79 | 1 | no | — |
| 335 | #1902 | — | 79 | 1 | no | — |
| 336 | #1833 | — | 79 | 1 | no | — |
| 337 | #1747 | — | 79 | 1 | no | — |
| 338 | C79 | #22284 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 339 | C2×#137 | — | 79 | 1 | no | — |
| 340 | C2×AGL(1,ℤ/8) | — | 79 | 1 | no | — |
| 341 | C2×#135 | — | 79 | 1 | no | — |
| 342 | C22×SD16 | C2×D79 | 1 | 1 | yes | characteristic |
| 343 | #568 | — | 79 | 1 | no | — |
| 344 | #568 | — | 79 | 1 | no | — |
| 345 | #536 | — | 79 | 1 | no | — |
| 346 | #535 | — | 79 | 1 | no | — |
| 347 | #519 | — | 79 | 1 | no | — |
| 348 | #518 | — | 79 | 1 | no | — |
| 349 | #497 | — | 79 | 2 | no | — |
| 350 | #496 | — | 79 | 2 | no | — |
| 351 | #495 | — | 79 | 2 | no | — |
| 352 | #492 | — | 79 | 2 | no | — |
| 353 | #444 | — | 158 | 2 | no | — |
| 354 | #443 | — | 158 | 2 | no | — |
| 355 | #440 | — | 158 | 2 | no | — |
| 356 | C4×SD16 | — | 158 | 2 | no | — |
| 357 | C2×#108 | C2×D79 | 1 | 1 | yes | characteristic |
| 358 | #427 | — | 79 | 1 | no | — |
| 359 | #421 | — | 79 | 1 | no | — |
| 360 | #421 | — | 79 | 1 | no | — |
| 361 | #421 | — | 79 | 1 | no | — |
| 362 | #421 | — | 79 | 1 | no | — |
| 363 | #419 | — | 79 | 1 | no | — |
| 364 | #419 | C2×D79 | 1 | 1 | yes | characteristic |
| 365 | #418 | — | 79 | 1 | no | — |
| 366 | #418 | C2×D79 | 1 | 1 | yes | characteristic |
| 367 | C2×#101 | C2×D79 | 1 | 1 | yes | characteristic |
| 368 | C2×#100 | C2×D79 | 1 | 1 | yes | characteristic |
| 369 | #410 | — | 79 | 1 | no | — |
| 370 | #410 | — | 79 | 1 | no | — |
| 371 | #405 | — | 79 | 1 | no | — |
| 372 | #405 | — | 79 | 1 | no | — |
| 373 | #405 | C2×D79 | 1 | 1 | yes | characteristic |
| 374 | #344 | — | 79 | 1 | no | — |
| 375 | #344 | — | 79 | 1 | no | — |
| 376 | #338 | — | 79 | 1 | no | — |
| 377 | H(3,ℤ/4) | — | 79 | 1 | no | — |
| 378 | H(3,ℤ/4) | — | 79 | 1 | no | — |
| 379 | H(3,ℤ/4) | — | 79 | 1 | no | — |
| 380 | H(3,ℤ/4) | — | 79 | 1 | no | — |
| 381 | H(3,ℤ/4) | — | 79 | 1 | no | — |
| 382 | C2×#41 | — | 79 | 1 | no | — |
| 383 | C2×#41 | — | 79 | 1 | no | — |
| 384 | C22×Q8 | C22×D79 | 1 | 1 | yes | characteristic |
| 385 | C22×D4 | C22×D79 | 1 | 1 | yes | characteristic |
| 386 | #137 | — | 316 | 1 | no | — |
| 387 | #137 | — | 316 | 1 | no | — |
| 388 | AGL(1,ℤ/8) | — | 316 | 1 | no | — |
| 389 | AGL(1,ℤ/8) | — | 316 | 1 | no | — |
| 390 | #135 | — | 158 | 1 | no | — |
| 391 | #135 | — | 158 | 1 | no | — |
| 392 | #135 | — | 158 | 1 | no | — |
| 393 | #135 | — | 158 | 1 | no | — |
| 394 | C2×Q16 | — | 79 | 2 | no | — |
| 395 | C2×Q16 | — | 79 | 1 | no | — |
| 396 | C2×SD16 | — | 2 | 1 | no | — |
| 397 | C2×SD16 | — | 2 | 1 | no | — |
| 398 | C2×SD16 | — | 2 | 1 | no | — |
| 399 | C2×SD16 | — | 2 | 1 | no | — |
| 400 | C2×SD16 | — | 79 | 2 | no | — |
| 401 | C2×SD16 | — | 79 | 2 | no | — |
| 402 | C2×SD16 | — | 79 | 1 | no | — |
| 403 | C2×SD16 | — | 79 | 1 | no | — |
| 404 | C2×SD16 | C4×D79 | 1 | 2 | yes | — |
| 405 | C2×SD16 | C4×D79 | 1 | 2 | yes | — |
| 406 | C2×D8 | — | 79 | 2 | no | — |
| 407 | C2×D8 | — | 79 | 1 | no | — |
| 408 | #131 | — | 316 | 1 | no | — |
| 409 | #131 | — | 316 | 1 | no | — |
| 410 | #131 | — | 158 | 2 | no | — |
| 411 | #131 | — | 158 | 2 | no | — |
| 412 | C2×M16 | — | 316 | 1 | no | — |
| 413 | C2×M16 | — | 316 | 1 | no | — |
| 414 | C2×M16 | — | 79 | 1 | no | — |
| 415 | C2×M16 | — | 79 | 1 | no | — |
| 416 | C2×M16 | C22×D79 | 1 | 1 | yes | characteristic |
| 417 | C2×M16 | C22×D79 | 1 | 1 | yes | characteristic |
| 418 | C2×M16 | C22×D79 | 1 | 1 | yes | characteristic |
| 419 | C22×C8 | C22×D79 | 1 | 1 | yes | characteristic |
| 420 | C4⋊Q8 | — | 79 | 2 | no | — |
| 421 | #127 | — | 79 | 2 | no | — |
| 422 | #124 | — | 79 | 2 | no | — |
| 423 | #124 | — | 79 | 2 | no | — |
| 424 | #123 | — | 316 | 1 | no | — |
| 425 | C22⋊Q8 | — | 316 | 1 | no | — |
| 426 | #121 | — | 316 | 1 | no | — |
| 427 | #120 | — | 316 | 1 | no | — |
| 428 | C4×Q8 | — | 316 | 1 | no | — |
| 429 | C4×Q8 | — | 158 | 2 | no | — |
| 430 | C4×D4 | — | 316 | 1 | no | — |
| 431 | C4×D4 | — | 158 | 2 | no | — |
| 432 | #117 | — | 316 | 1 | no | — |
| 433 | #117 | — | 79 | 1 | no | — |
| 434 | #117 | — | 79 | 1 | no | — |
| 435 | #117 | — | 79 | 1 | no | — |
| 436 | #117 | — | 79 | 1 | no | — |
| 437 | #117 | C22×D79 | 1 | 1 | yes | characteristic |
| 438 | C2×C22⋊C4 | — | 316 | 1 | no | — |
| 439 | #108 | — | 2 | 1 | no | — |
| 440 | #108 | — | 2 | 1 | no | — |
| 441 | #107 | — | 158 | 1 | no | — |
| 442 | #106 | — | 158 | 1 | no | — |
| 443 | #104 | — | 316 | 1 | no | — |
| 444 | #104 | — | 316 | 1 | no | — |
| 445 | #104 | — | 158 | 2 | no | — |
| 446 | #104 | — | 158 | 2 | no | — |
| 447 | #103 | — | 4 | 1 | no | — |
| 448 | #103 | — | 158 | 2 | no | — |
| 449 | #102 | — | 4 | 1 | no | — |
| 450 | #102 | — | 158 | 2 | no | — |
| 451 | #101 | — | 4 | 1 | no | — |
| 452 | #100 | — | 4 | 1 | no | — |
| 453 | #99 | — | 316 | 1 | no | — |
| 454 | #99 | — | 316 | 1 | no | — |
| 455 | #97 | — | 2 | 1 | no | — |
| 456 | #97 | — | 79 | 2 | no | — |
| 457 | #97 | — | 79 | 2 | no | — |
| 458 | C4×C8 | — | 2 | 1 | no | — |
| 459 | C4×C8 | — | 79 | 2 | no | — |
| 460 | C4×C8 | — | 79 | 2 | no | — |
| 461 | C24 | — | 2 | 1 | no | — |
| 462 | #41 | — | 158 | 1 | no | — |
| 463 | #41 | — | 158 | 1 | no | — |
| 464 | #41 | — | 158 | 1 | no | — |
| 465 | #41 | — | 158 | 1 | no | — |
| 466 | #41 | — | 158 | 1 | no | — |
| 467 | #41 | — | 158 | 1 | no | — |
| 468 | #41 | — | 158 | 1 | no | — |
| 469 | #41 | — | 158 | 1 | no | — |
| 470 | C2×Q8 | — | 2 | 1 | no | — |
| 471 | C2×Q8 | — | 2 | 1 | no | — |
| 472 | C2×Q8 | — | 2 | 1 | no | — |
| 473 | C2×Q8 | — | 2 | 1 | no | — |
| 474 | C2×Q8 | — | 2 | 1 | no | — |
| 475 | C2×Q8 | — | 79 | 1 | no | — |
| 476 | C2×Q8 | — | 79 | 1 | no | — |
| 477 | C2×Q8 | C2×C4×D79 | 1 | 2 | yes | — |
| 478 | C2×D4 | — | 2 | 1 | no | — |
| 479 | C2×D4 | — | 2 | 1 | no | — |
| 480 | C2×D4 | — | 2 | 1 | no | — |
| 481 | C2×D4 | — | 2 | 1 | no | — |
| 482 | C2×D4 | — | 2 | 1 | no | — |
| 483 | C2×D4 | — | 316 | 2 | no | — |
| 484 | C2×D4 | — | 79 | 1 | no | — |
| 485 | C2×D4 | — | 79 | 1 | no | — |
| 486 | C2×D4 | — | 158 | 1 | no | — |
| 487 | C2×D4 | — | 158 | 1 | no | — |
| 488 | C2×D4 | C2×C4×D79 | 1 | 2 | yes | — |
| 489 | C22×C4 | — | 2 | 1 | no | — |
| 490 | C22×C4 | — | 316 | 2 | no | — |
| 491 | C22×C4 | — | 158 | 1 | no | — |
| 492 | C22×C4 | — | 158 | 1 | no | — |
| 493 | C22×C4 | C23×D79 | 1 | 1 | yes | characteristic |
| 494 | Q16 | — | 316 | 2 | no | — |
| 495 | Q16 | — | 158 | 1 | no | — |
| 496 | Q16 | — | 158 | 1 | no | — |
| 497 | SD16 | — | 2 | 2 | no | — |
| 498 | SD16 | — | 2 | 2 | no | — |
| 499 | SD16 | — | 2 | 2 | no | — |
| 500 | SD16 | — | 2 | 2 | no | — |
| 501 | SD16 | — | 316 | 2 | no | — |
| 502 | SD16 | — | 316 | 2 | no | — |
| 503 | SD16 | — | 158 | 1 | no | — |
| 504 | SD16 | — | 158 | 1 | no | — |
| 505 | SD16 | — | 158 | 1 | no | — |
| 506 | SD16 | — | 158 | 1 | no | — |
| 507 | D8 | — | 316 | 2 | no | — |
| 508 | D8 | — | 158 | 1 | no | — |
| 509 | D8 | — | 158 | 1 | no | — |
| 510 | M16 | — | 2 | 1 | no | — |
| 511 | M16 | — | 2 | 1 | no | — |
| 512 | M16 | — | 2 | 1 | no | — |
| 513 | M16 | — | 2 | 1 | no | — |
| 514 | M16 | — | 2 | 1 | no | — |
| 515 | M16 | — | 2 | 1 | no | — |
| 516 | M16 | — | 316 | 2 | no | — |
| 517 | M16 | — | 316 | 2 | no | — |
| 518 | M16 | — | 158 | 1 | no | — |
| 519 | M16 | — | 158 | 1 | no | — |
| 520 | M16 | — | 158 | 1 | no | — |
| 521 | M16 | — | 158 | 1 | no | — |
| 522 | C2×C8 | — | 2 | 1 | no | — |
| 523 | C2×C8 | — | 2 | 1 | no | — |
| 524 | C2×C8 | — | 2 | 1 | no | — |
| 525 | C2×C8 | — | 316 | 2 | no | — |
| 526 | C2×C8 | — | 316 | 2 | no | — |
| 527 | C2×C8 | — | 79 | 2 | no | — |
| 528 | C2×C8 | — | 79 | 2 | no | — |
| 529 | C2×C8 | C2×C4×D79 | 1 | 1 | yes | characteristic |
| 530 | C2×C8 | C2×C4×D79 | 1 | 1 | yes | characteristic |
| 531 | C2×C8 | D4×D79 | 1 | 1 | yes | characteristic |
| 532 | C2×C8 | D4×D79 | 1 | 1 | yes | characteristic |
| 533 | C2×C8 | #11929623 | 1 | 1 | yes | characteristic |
| 534 | C2×C8 | #11929623 | 1 | 1 | yes | characteristic |
| 535 | C4⋊C4 | — | 2 | 1 | no | — |
| 536 | C4⋊C4 | — | 316 | 2 | no | — |
| 537 | C4⋊C4 | — | 316 | 2 | no | — |
| 538 | C4⋊C4 | — | 158 | 1 | no | — |
| 539 | C4⋊C4 | — | 158 | 1 | no | — |
| 540 | C4⋊C4 | — | 158 | 1 | no | — |
| 541 | C4⋊C4 | — | 158 | 1 | no | — |
| 542 | C22⋊C4 | — | 2 | 1 | no | — |
| 543 | C22⋊C4 | — | 316 | 2 | no | — |
| 544 | C22⋊C4 | — | 316 | 2 | no | — |
| 545 | C22⋊C4 | — | 316 | 2 | no | — |
| 546 | C22⋊C4 | — | 158 | 1 | no | — |
| 547 | C22⋊C4 | — | 158 | 1 | no | — |
| 548 | C22⋊C4 | — | 158 | 1 | no | — |
| 549 | C22⋊C4 | — | 158 | 1 | no | — |
| 550 | C42 | — | 2 | 1 | no | — |
| 551 | C42 | — | 316 | 2 | no | — |
| 552 | C42 | — | 79 | 2 | no | — |
| 553 | C42 | — | 79 | 2 | no | — |
| 554 | C42 | — | 158 | 1 | no | — |
| 555 | C42 | — | 158 | 1 | no | — |
| 556 | C23 | — | 2 | 2 | no | — |
| 557 | C23 | — | 4 | 1 | no | — |
| 558 | C23 | — | 4 | 1 | no | — |
| 559 | C23 | — | 16 | 1 | no | — |
| 560 | C23 | — | 158 | 1 | no | — |
| 561 | C23 | — | 158 | 1 | no | — |
| 562 | C23 | #14579207 | 1 | 1 | yes | characteristic |
| 563 | Q8 | — | 2 | 2 | no | — |
| 564 | Q8 | — | 2 | 2 | no | — |
| 565 | Q8 | — | 4 | 1 | no | — |
| 566 | Q8 | — | 4 | 1 | no | — |
| 567 | Q8 | — | 158 | 1 | no | — |
| 568 | Q8 | — | 158 | 1 | no | — |
| 569 | Q8 | — | 158 | 1 | no | — |
| 570 | Q8 | — | 158 | 1 | no | — |
| 571 | D4 | — | 2 | 2 | no | — |
| 572 | D4 | — | 2 | 2 | no | — |
| 573 | D4 | — | 4 | 1 | no | — |
| 574 | D4 | — | 4 | 1 | no | — |
| 575 | D4 | — | 316 | 1 | no | — |
| 576 | D4 | — | 316 | 1 | no | — |
| 577 | D4 | — | 316 | 1 | no | — |
| 578 | D4 | — | 316 | 1 | no | — |
| 579 | D4 | — | 158 | 1 | no | — |
| 580 | D4 | — | 158 | 1 | no | — |
| 581 | D4 | — | 158 | 1 | no | — |
| 582 | D4 | — | 158 | 1 | no | — |
| 583 | D4 | — | 1264 | 2 | no | — |
| 584 | C2×C4 | — | 2 | 2 | no | — |
| 585 | C2×C4 | — | 4 | 1 | no | — |
| 586 | C2×C4 | — | 4 | 1 | no | — |
| 587 | C2×C4 | — | 4 | 1 | no | — |
| 588 | C2×C4 | — | 316 | 1 | no | — |
| 589 | C2×C4 | — | 316 | 1 | no | — |
| 590 | C2×C4 | — | 316 | 1 | no | — |
| 591 | C2×C4 | — | 316 | 1 | no | — |
| 592 | C2×C4 | — | 316 | 1 | no | — |
| 593 | C2×C4 | — | 316 | 1 | no | — |
| 594 | C2×C4 | — | 158 | 2 | no | — |
| 595 | C2×C4 | — | 158 | 1 | no | — |
| 596 | C2×C4 | — | 158 | 1 | no | — |
| 597 | C2×C4 | — | 158 | 2 | no | — |
| 598 | C2×C4 | — | 1264 | 2 | no | — |
| 599 | C2×C4 | C22×C4×D79 | 1 | 1 | yes | characteristic |
| 600 | C2×C4 | C2×D4×D79 | 1 | 1 | yes | characteristic |
| 601 | C2×C4 | C2×#11929623 | 1 | 1 | yes | characteristic |
| 602 | C2×C4 | #14579206 | 1 | 1 | yes | characteristic |
| 603 | C2×C4 | #14579206 | 1 | 1 | yes | characteristic |
| 604 | C2×C4 | #14579207 | 1 | 1 | yes | characteristic |
| 605 | C8 | — | 4 | 1 | no | — |
| 606 | C8 | — | 4 | 1 | no | — |
| 607 | C8 | — | 4 | 1 | no | — |
| 608 | C8 | — | 158 | 2 | no | — |
| 609 | C8 | — | 158 | 2 | no | — |
| 610 | C8 | (C22⋊D79)⋊C4 | 1 | 1 | yes | characteristic |
| 611 | C8 | (C22⋊D79)⋊C4 | 1 | 1 | yes | characteristic |
| 612 | C8 | (C22⋊D79)⋊C4 | 1 | 1 | yes | characteristic |
| 613 | C8 | (C22⋊D79)⋊C4 | 1 | 1 | yes | characteristic |
| 614 | C22 | — | 4 | 1 | no | — |
| 615 | C22 | — | 4 | 2 | no | — |
| 616 | C22 | — | 8 | 2 | no | — |
| 617 | C22 | — | 8 | 2 | no | — |
| 618 | C22 | — | 16 | 1 | no | — |
| 619 | C22 | — | 316 | 1 | no | — |
| 620 | C22 | — | 316 | 1 | no | — |
| 621 | C22 | — | 632 | 1 | no | — |
| 622 | C22 | — | 632 | 1 | no | — |
| 623 | C22 | #19099035 | 1 | 1 | yes | characteristic |
| 624 | C22 | #19099131 | 1 | 1 | yes | characteristic |
| 625 | C22 | #19099166 | 1 | 1 | yes | characteristic |
| 626 | C4 | — | 4 | 2 | no | — |
| 627 | C4 | — | 8 | 1 | no | — |
| 628 | C4 | — | 316 | 2 | no | — |
| 629 | C4 | — | 316 | 2 | no | — |
| 630 | C4 | — | 316 | 1 | no | — |
| 631 | C4 | — | 316 | 1 | no | — |
| 632 | C4 | — | 632 | 1 | no | — |
| 633 | C4 | — | 632 | 1 | no | — |
| 634 | C4 | C2×(C22⋊D79)⋊C4 | 1 | 1 | yes | characteristic |
| 635 | C4 | #19099035 | 1 | 1 | yes | characteristic |
| 636 | C4 | #19099126 | 1 | 1 | yes | characteristic |
| 637 | C4 | #19099166 | 1 | 1 | yes | characteristic |
| 638 | C2 | — | 2 | 1 | no | — |
| 639 | C2 | — | 2 | 1 | no | — |
| 640 | C2 | — | 2 | 1 | no | — |
| 641 | C2 | — | 8 | 2 | no | — |
| 642 | C2 | — | 632 | 1 | no | — |
| 643 | C2 | — | 632 | 1 | no | — |
| 644 | C2 | #23766124 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta