| 1 | C2×#19098823 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #23764868 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #23764861 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #23764678 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #23764671 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #23764305 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #23764190 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #23763894 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #23763887 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #23763523 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #23763514 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #23763511 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #23763451 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #23763201 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C79×#2949 | 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×#14579167 | C22 | 1 | 1 | yes | characteristic |
| 19 | #19098823 | — | 2 | 2 | no | — |
| 20 | #19098823 | — | 2 | 2 | no | — |
| 21 | #19098611 | C22 | 1 | 1 | yes | characteristic |
| 22 | #19098611 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#14579097 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#14579097 | C22 | 1 | 1 | yes | characteristic |
| 25 | #19098581 | C22 | 1 | 1 | yes | characteristic |
| 26 | #19098581 | C22 | 1 | 1 | yes | characteristic |
| 27 | #19098572 | C22 | 1 | 1 | yes | characteristic |
| 28 | #19098568 | C22 | 1 | 1 | yes | characteristic |
| 29 | #19098545 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#14579080 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#14579080 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#14579078 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#14579078 | C22 | 1 | 1 | yes | characteristic |
| 34 | #19098536 | C22 | 1 | 1 | yes | characteristic |
| 35 | #19098518 | C22 | 1 | 1 | yes | characteristic |
| 36 | #19098335 | C22 | 1 | 1 | yes | characteristic |
| 37 | #19098333 | C22 | 1 | 1 | yes | characteristic |
| 38 | #19098333 | C22 | 1 | 1 | yes | characteristic |
| 39 | #19098333 | C22 | 1 | 1 | yes | characteristic |
| 40 | #19098333 | C22 | 1 | 1 | yes | characteristic |
| 41 | #19098333 | C22 | 1 | 1 | yes | characteristic |
| 42 | #19098333 | C22 | 1 | 1 | yes | characteristic |
| 43 | #19098333 | C22 | 1 | 1 | yes | characteristic |
| 44 | #19098319 | C22 | 1 | 1 | yes | characteristic |
| 45 | #19098319 | C22 | 1 | 1 | yes | characteristic |
| 46 | C22×SD16×C79 | C22 | 1 | 1 | yes | characteristic |
| 47 | #519×C79 | C22 | 1 | 1 | yes | characteristic |
| 48 | #518×C79 | C22 | 1 | 1 | yes | characteristic |
| 49 | #440×C79 | — | 2 | 2 | no | — |
| 50 | C4×SD16×C79 | — | 2 | 2 | no | — |
| 51 | #427×C79 | C22 | 1 | 1 | yes | characteristic |
| 52 | #419×C79 | C22 | 1 | 1 | yes | characteristic |
| 53 | #418×C79 | C22 | 1 | 1 | yes | characteristic |
| 54 | #405×C79 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×#11929624 | C23 | 1 | 1 | yes | characteristic |
| 56 | #14579192 | — | 2 | 2 | no | — |
| 57 | #14579192 | — | 4 | 1 | no | — |
| 58 | #14579187 | — | 2 | 2 | no | — |
| 59 | #14579187 | — | 4 | 1 | no | — |
| 60 | C2×#11929614 | — | 2 | 1 | no | — |
| 61 | C2×#11929612 | — | 2 | 1 | no | — |
| 62 | C2×#11929611 | — | 2 | 1 | no | — |
| 63 | C2×#11929609 | — | 2 | 1 | no | — |
| 64 | #14579167 | — | 2 | 1 | no | — |
| 65 | #14579167 | — | 2 | 1 | no | — |
| 66 | #14579167 | — | 2 | 1 | no | — |
| 67 | #14579167 | — | 2 | 1 | no | — |
| 68 | C2×#11929608 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×#11929608 | C23 | 1 | 1 | yes | characteristic |
| 70 | C2×#11929608 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×#11929608 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×#11929608 | C23 | 1 | 1 | yes | characteristic |
| 73 | C2×#11929608 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×#11929607 | — | 2 | 1 | no | — |
| 75 | C2×C8×D79 | — | 2 | 1 | no | — |
| 76 | #14579120 | C23 | 1 | 1 | yes | characteristic |
| 77 | #14579097 | — | 2 | 1 | no | — |
| 78 | #14579097 | — | 2 | 1 | no | — |
| 79 | #14579097 | — | 2 | 1 | no | — |
| 80 | #14579097 | — | 2 | 1 | no | — |
| 81 | #14579096 | — | 4 | 1 | no | — |
| 82 | #14579096 | — | 4 | 1 | no | — |
| 83 | #14579089 | — | 4 | 1 | no | — |
| 84 | #14579089 | — | 4 | 1 | no | — |
| 85 | #14579085 | — | 4 | 1 | no | — |
| 86 | #14579082 | — | 4 | 1 | no | — |
| 87 | #14579080 | — | 2 | 2 | no | — |
| 88 | #14579080 | — | 4 | 1 | no | — |
| 89 | #14579079 | — | 2 | 1 | no | — |
| 90 | #14579078 | — | 2 | 2 | no | — |
| 91 | #14579078 | — | 4 | 1 | no | — |
| 92 | #14579077 | — | 2 | 1 | no | — |
| 93 | #14579075 | — | 2 | 2 | no | — |
| 94 | #14579071 | — | 2 | 1 | no | — |
| 95 | C8×Dic79 | — | 2 | 1 | no | — |
| 96 | C22×Q8×C79 | C23 | 1 | 1 | yes | characteristic |
| 97 | C22×D4×C79 | C23 | 1 | 1 | yes | characteristic |
| 98 | C2×SD16×C79 | — | 2 | 1 | no | — |
| 99 | C2×SD16×C79 | — | 2 | 1 | no | — |
| 100 | C2×SD16×C79 | — | 2 | 1 | no | — |
| 101 | C2×SD16×C79 | — | 2 | 1 | no | — |
| 102 | C2×SD16×C79 | D4 | 1 | 2 | yes | — |
| 103 | C2×SD16×C79 | D4 | 1 | 2 | yes | — |
| 104 | C2×M16×C79 | C23 | 1 | 1 | yes | characteristic |
| 105 | C22×C8×C79 | C23 | 1 | 1 | yes | characteristic |
| 106 | C4×Q8×C79 | — | 2 | 2 | no | — |
| 107 | C4×Q8×C79 | — | 4 | 1 | no | — |
| 108 | C4×D4×C79 | — | 2 | 2 | no | — |
| 109 | C4×D4×C79 | — | 4 | 1 | no | — |
| 110 | #117×C79 | — | 2 | 2 | no | — |
| 111 | #117×C79 | C23 | 1 | 1 | yes | characteristic |
| 112 | #117×C79 | C23 | 1 | 1 | yes | characteristic |
| 113 | #117×C79 | C23 | 1 | 1 | yes | characteristic |
| 114 | C2×C22⋊C4×C79 | — | 2 | 2 | no | — |
| 115 | #107×C79 | — | 2 | 1 | no | — |
| 116 | #106×C79 | — | 2 | 1 | no | — |
| 117 | #103×C79 | — | 2 | 2 | no | — |
| 118 | #102×C79 | — | 2 | 2 | no | — |
| 119 | #97×C79 | — | 2 | 1 | no | — |
| 120 | C4×C8×C79 | — | 2 | 1 | no | — |
| 121 | #11929624 | — | 2 | 1 | no | — |
| 122 | #11929624 | — | 2 | 1 | no | — |
| 123 | #11929624 | — | 2 | 1 | no | — |
| 124 | #11929624 | — | 2 | 1 | no | — |
| 125 | C2×Dic158 | #41 | 1 | 1 | yes | characteristic |
| 126 | C2×D316 | #41 | 1 | 1 | yes | characteristic |
| 127 | C2×C22⋊D79 | — | 2 | 1 | no | — |
| 128 | C2×C4×D79 | — | 2 | 1 | no | — |
| 129 | #11929614 | — | 4 | 2 | no | — |
| 130 | #11929612 | — | 4 | 2 | no | — |
| 131 | #11929611 | — | 4 | 2 | no | — |
| 132 | #11929609 | — | 4 | 2 | no | — |
| 133 | #11929608 | — | 2 | 1 | no | — |
| 134 | #11929608 | — | 2 | 1 | no | — |
| 135 | #11929608 | — | 2 | 1 | no | — |
| 136 | #11929608 | — | 2 | 1 | no | — |
| 137 | #11929608 | — | 2 | 1 | no | — |
| 138 | #11929608 | — | 2 | 1 | no | — |
| 139 | #11929608 | — | 2 | 1 | no | — |
| 140 | #11929608 | — | 2 | 1 | no | — |
| 141 | #11929608 | — | 2 | 1 | no | — |
| 142 | #11929608 | — | 2 | 1 | no | — |
| 143 | #11929608 | — | 2 | 1 | no | — |
| 144 | #11929608 | — | 2 | 1 | no | — |
| 145 | #11929607 | — | 4 | 1 | no | — |
| 146 | #11929607 | — | 4 | 1 | no | — |
| 147 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 148 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 149 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 150 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 151 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 152 | C2×C79⋊C8 | — | 2 | 1 | no | — |
| 153 | C8×D79 | — | 4 | 1 | no | — |
| 154 | C8×D79 | — | 4 | 1 | no | — |
| 155 | C4⋊Dic79 | — | 2 | 1 | no | — |
| 156 | C22⋊Dic79 | — | 2 | 1 | no | — |
| 157 | C4×Dic79 | — | 2 | 1 | no | — |
| 158 | C24×C79 | — | 2 | 1 | no | — |
| 159 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 160 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 161 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 162 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 163 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 164 | C2×Q8×C79 | C2×D4 | 1 | 2 | yes | — |
| 165 | C2×D4×C79 | — | 2 | 1 | no | — |
| 166 | C2×D4×C79 | — | 2 | 1 | no | — |
| 167 | C2×D4×C79 | — | 2 | 1 | no | — |
| 168 | C2×D4×C79 | — | 2 | 1 | no | — |
| 169 | C2×D4×C79 | — | 2 | 1 | no | — |
| 170 | C2×D4×C79 | C2×D4 | 1 | 2 | yes | — |
| 171 | C22×C4×C79 | — | 2 | 1 | no | — |
| 172 | C22×C4×C79 | — | 4 | 2 | no | — |
| 173 | C22×C4×C79 | C24 | 1 | 1 | yes | characteristic |
| 174 | SD16×C79 | — | 2 | 2 | no | — |
| 175 | SD16×C79 | — | 2 | 2 | no | — |
| 176 | SD16×C79 | — | 2 | 2 | no | — |
| 177 | SD16×C79 | — | 2 | 2 | no | — |
| 178 | M16×C79 | — | 2 | 1 | no | — |
| 179 | M16×C79 | — | 2 | 1 | no | — |
| 180 | C2×C8×C79 | — | 2 | 1 | no | — |
| 181 | C2×C8×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C2×C8×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C2×C8×C79 | #41 | 1 | 1 | yes | characteristic |
| 184 | C2×C8×C79 | #41 | 1 | 1 | yes | characteristic |
| 185 | C2×C8×C79 | #41 | 1 | 1 | yes | characteristic |
| 186 | C2×C8×C79 | #41 | 1 | 1 | yes | characteristic |
| 187 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 188 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 189 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 190 | C4⋊C4×C79 | — | 4 | 2 | no | — |
| 191 | C22⋊C4×C79 | — | 2 | 1 | no | — |
| 192 | C22⋊C4×C79 | — | 2 | 1 | no | — |
| 193 | C22⋊C4×C79 | — | 4 | 2 | no | — |
| 194 | C22⋊C4×C79 | #41 | 1 | 2 | yes | — |
| 195 | C42×C79 | — | 2 | 1 | no | — |
| 196 | C42×C79 | — | 2 | 1 | no | — |
| 197 | C42×C79 | — | 2 | 1 | no | — |
| 198 | C42×C79 | — | 4 | 2 | no | — |
| 199 | C23×C79 | — | 2 | 2 | no | — |
| 200 | C23×C79 | — | 4 | 1 | no | — |
| 201 | C23×C79 | — | 4 | 1 | no | — |
| 202 | C23×C79 | — | 16 | 1 | no | — |
| 203 | C23×C79 | C2×#41 | 1 | 1 | yes | characteristic |
| 204 | C22×D79 | — | 2 | 1 | no | — |
| 205 | Q8×C79 | — | 2 | 2 | no | — |
| 206 | Q8×C79 | — | 2 | 2 | no | — |
| 207 | Q8×C79 | — | 4 | 1 | no | — |
| 208 | Q8×C79 | — | 4 | 1 | no | — |
| 209 | D4×C79 | — | 2 | 2 | no | — |
| 210 | D4×C79 | — | 2 | 2 | no | — |
| 211 | D4×C79 | — | 4 | 1 | no | — |
| 212 | D4×C79 | — | 4 | 1 | no | — |
| 213 | C2×C4×C79 | — | 2 | 2 | no | — |
| 214 | C2×C4×C79 | — | 2 | 2 | no | — |
| 215 | C2×C4×C79 | — | 4 | 1 | no | — |
| 216 | C2×C4×C79 | — | 4 | 1 | no | — |
| 217 | C2×C4×C79 | — | 4 | 1 | no | — |
| 218 | C2×C4×C79 | — | 4 | 1 | no | — |
| 219 | C2×C4×C79 | — | 16 | 2 | no | — |
| 220 | C2×C4×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 221 | C2×C4×C79 | C2×#41 | 1 | 1 | yes | characteristic |
| 222 | C2×C4×C79 | C2×#41 | 1 | 1 | yes | characteristic |
| 223 | C2×C4×C79 | C2×#41 | 1 | 1 | yes | characteristic |
| 224 | C2×C4×C79 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 225 | C2×C4×C79 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 226 | C22⋊D79 | — | 4 | 1 | no | — |
| 227 | C22⋊D79 | — | 4 | 1 | no | — |
| 228 | C2×Dic79 | — | 2 | 1 | no | — |
| 229 | C2×Dic79 | — | 4 | 1 | no | — |
| 230 | D316 | — | 2 | 1 | no | — |
| 231 | D316 | — | 2 | 1 | no | — |
| 232 | C4×D79 | — | 4 | 1 | no | — |
| 233 | C4×D79 | — | 4 | 1 | no | — |
| 234 | Dic158 | — | 2 | 1 | no | — |
| 235 | Dic158 | — | 2 | 1 | no | — |
| 236 | C8×C79 | — | 4 | 1 | no | — |
| 237 | C8×C79 | #123 | 1 | 1 | yes | characteristic |
| 238 | C8×C79 | #123 | 1 | 1 | yes | characteristic |
| 239 | C8×C79 | #123 | 1 | 1 | yes | characteristic |
| 240 | C8×C79 | #123 | 1 | 1 | yes | characteristic |
| 241 | C79⋊C8 | — | 4 | 1 | no | — |
| 242 | C79⋊C8 | — | 4 | 1 | no | — |
| 243 | C79⋊C8 | — | 4 | 1 | no | — |
| 244 | C79⋊C8 | — | 4 | 1 | no | — |
| 245 | C79⋊C8 | — | 4 | 1 | no | — |
| 246 | C79⋊C8 | — | 4 | 1 | no | — |
| 247 | C22×C79 | — | 4 | 1 | no | — |
| 248 | C22×C79 | — | 4 | 2 | no | — |
| 249 | C22×C79 | — | 8 | 2 | no | — |
| 250 | C22×C79 | — | 16 | 1 | no | — |
| 251 | C22×C79 | — | 16 | 1 | no | — |
| 252 | C22×C79 | #529 | 1 | 1 | yes | characteristic |
| 253 | C22×C79 | #546 | 1 | 1 | yes | characteristic |
| 254 | C22×C79 | #555 | 1 | 1 | yes | characteristic |
| 255 | C2×D79 | — | 4 | 1 | no | — |
| 256 | C2×D79 | — | 8 | 1 | no | — |
| 257 | C4×C79 | — | 4 | 2 | no | — |
| 258 | C4×C79 | — | 4 | 2 | no | — |
| 259 | C4×C79 | — | 8 | 1 | no | — |
| 260 | C4×C79 | — | 8 | 1 | no | — |
| 261 | C4×C79 | C2×#123 | 1 | 1 | yes | characteristic |
| 262 | C4×C79 | #540 | 1 | 1 | yes | characteristic |
| 263 | C4×C79 | #546 | 1 | 1 | yes | characteristic |
| 264 | C4×C79 | #553 | 1 | 1 | yes | characteristic |
| 265 | Dic79 | — | 4 | 1 | no | — |
| 266 | Dic79 | — | 8 | 1 | no | — |
| 267 | #24987 | — | 79 | 1 | no | maximal, Sylow |
| 268 | C2×C79 | — | 2 | 1 | no | — |
| 269 | C2×C79 | — | 2 | 1 | no | — |
| 270 | C2×C79 | — | 2 | 1 | no | — |
| 271 | C2×C79 | — | 8 | 2 | no | — |
| 272 | C2×C79 | #2420 | 1 | 1 | yes | characteristic |
| 273 | D79 | — | 8 | 1 | no | — |
| 274 | C2×#471 | — | 79 | 1 | no | — |
| 275 | #2949 | D79 | 1 | 1 | yes | characteristic, complemented |
| 276 | #2082 | — | 79 | 1 | no | — |
| 277 | #2081 | — | 79 | 1 | no | — |
| 278 | #2049 | — | 79 | 1 | no | — |
| 279 | #2048 | — | 79 | 1 | no | — |
| 280 | #1977 | — | 79 | 1 | no | — |
| 281 | #1953 | — | 79 | 1 | no | — |
| 282 | #1905 | — | 79 | 1 | no | — |
| 283 | #1904 | — | 79 | 1 | no | — |
| 284 | #1833 | — | 79 | 1 | no | — |
| 285 | #1830 | — | 79 | 1 | no | — |
| 286 | #1829 | — | 79 | 1 | no | — |
| 287 | #1814 | — | 79 | 1 | no | — |
| 288 | #1757 | — | 79 | 1 | no | — |
| 289 | C79 | #24987 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 290 | C2×#137 | — | 79 | 1 | no | — |
| 291 | C2×AGL(1,ℤ/8) | — | 79 | 1 | no | — |
| 292 | C22×SD16 | C2×D79 | 1 | 1 | yes | characteristic |
| 293 | C2×#131 | — | 79 | 1 | no | — |
| 294 | #519 | C2×D79 | 1 | 1 | yes | characteristic |
| 295 | #518 | C2×D79 | 1 | 1 | yes | characteristic |
| 296 | #471 | — | 158 | 2 | no | — |
| 297 | #471 | — | 158 | 2 | no | — |
| 298 | #440 | — | 2 | 2 | no | — |
| 299 | C4×SD16 | — | 2 | 2 | no | — |
| 300 | #430 | — | 79 | 1 | no | — |
| 301 | #430 | — | 79 | 1 | no | — |
| 302 | C2×#108 | — | 79 | 1 | no | — |
| 303 | C2×#108 | — | 79 | 1 | no | — |
| 304 | #427 | C2×D79 | 1 | 1 | yes | characteristic |
| 305 | #421 | — | 79 | 1 | no | — |
| 306 | #421 | — | 79 | 1 | no | — |
| 307 | #419 | — | 79 | 1 | no | — |
| 308 | #419 | C2×D79 | 1 | 1 | yes | characteristic |
| 309 | #418 | — | 79 | 1 | no | — |
| 310 | #418 | C2×D79 | 1 | 1 | yes | characteristic |
| 311 | #413 | — | 79 | 1 | no | — |
| 312 | C2×#101 | — | 79 | 1 | no | — |
| 313 | C2×#101 | — | 79 | 1 | no | — |
| 314 | C2×#100 | — | 79 | 1 | no | — |
| 315 | C2×#100 | — | 79 | 1 | no | — |
| 316 | #410 | — | 79 | 1 | no | — |
| 317 | #405 | — | 79 | 1 | no | — |
| 318 | #405 | C2×D79 | 1 | 1 | yes | characteristic |
| 319 | #344 | — | 79 | 1 | no | — |
| 320 | #344 | — | 79 | 1 | no | — |
| 321 | #344 | — | 79 | 1 | no | — |
| 322 | #344 | — | 79 | 1 | no | — |
| 323 | #344 | — | 79 | 1 | no | — |
| 324 | #344 | — | 79 | 1 | no | — |
| 325 | #344 | — | 79 | 1 | no | — |
| 326 | #344 | — | 79 | 1 | no | — |
| 327 | H(3,ℤ/4) | — | 79 | 1 | no | — |
| 328 | H(3,ℤ/4) | — | 79 | 1 | no | — |
| 329 | C2×#41 | — | 79 | 1 | no | — |
| 330 | C22×Q8 | C22×D79 | 1 | 1 | yes | characteristic |
| 331 | C22×D4 | C22×D79 | 1 | 1 | yes | characteristic |
| 332 | #137 | — | 316 | 1 | no | — |
| 333 | #137 | — | 158 | 2 | no | — |
| 334 | AGL(1,ℤ/8) | — | 316 | 1 | no | — |
| 335 | AGL(1,ℤ/8) | — | 158 | 2 | no | — |
| 336 | C2×Q16 | — | 158 | 1 | no | — |
| 337 | C2×SD16 | — | 2 | 1 | no | — |
| 338 | C2×SD16 | — | 2 | 1 | no | — |
| 339 | C2×SD16 | — | 2 | 1 | no | — |
| 340 | C2×SD16 | — | 2 | 1 | no | — |
| 341 | C2×SD16 | — | 158 | 1 | no | — |
| 342 | C2×SD16 | — | 158 | 1 | no | — |
| 343 | C2×SD16 | C22⋊D79 | 1 | 2 | yes | — |
| 344 | C2×SD16 | C22⋊D79 | 1 | 2 | yes | — |
| 345 | C2×D8 | — | 158 | 1 | no | — |
| 346 | #131 | — | 158 | 1 | no | — |
| 347 | #131 | — | 158 | 1 | no | — |
| 348 | #131 | — | 158 | 1 | no | — |
| 349 | #131 | — | 158 | 1 | no | — |
| 350 | C2×M16 | — | 79 | 1 | no | — |
| 351 | C2×M16 | — | 79 | 1 | no | — |
| 352 | C2×M16 | — | 79 | 1 | no | — |
| 353 | C2×M16 | — | 79 | 1 | no | — |
| 354 | C2×M16 | — | 79 | 1 | no | — |
| 355 | C2×M16 | — | 79 | 1 | no | — |
| 356 | C2×M16 | — | 158 | 1 | no | — |
| 357 | C2×M16 | C22×D79 | 1 | 1 | yes | characteristic |
| 358 | C22×C8 | — | 158 | 1 | no | — |
| 359 | C22×C8 | C22×D79 | 1 | 1 | yes | characteristic |
| 360 | C4×Q8 | — | 2 | 2 | no | — |
| 361 | C4×Q8 | — | 4 | 1 | no | — |
| 362 | C4×D4 | — | 2 | 2 | no | — |
| 363 | C4×D4 | — | 4 | 1 | no | — |
| 364 | #117 | — | 2 | 2 | no | — |
| 365 | #117 | — | 79 | 1 | no | — |
| 366 | #117 | C22×D79 | 1 | 1 | yes | characteristic |
| 367 | #117 | C22×D79 | 1 | 1 | yes | characteristic |
| 368 | #117 | C22×D79 | 1 | 1 | yes | characteristic |
| 369 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 370 | #108 | — | 316 | 1 | no | — |
| 371 | #108 | — | 316 | 1 | no | — |
| 372 | #108 | — | 158 | 1 | no | — |
| 373 | #108 | — | 158 | 1 | no | — |
| 374 | #108 | — | 158 | 1 | no | — |
| 375 | #108 | — | 158 | 1 | no | — |
| 376 | #107 | — | 2 | 1 | no | — |
| 377 | #106 | — | 2 | 1 | no | — |
| 378 | #104 | — | 316 | 1 | no | — |
| 379 | #104 | — | 316 | 1 | no | — |
| 380 | #103 | — | 2 | 2 | no | — |
| 381 | #103 | — | 316 | 1 | no | — |
| 382 | #102 | — | 2 | 2 | no | — |
| 383 | #102 | — | 316 | 1 | no | — |
| 384 | #101 | — | 316 | 1 | no | — |
| 385 | #101 | — | 158 | 1 | no | — |
| 386 | #101 | — | 158 | 2 | no | — |
| 387 | #100 | — | 316 | 1 | no | — |
| 388 | #100 | — | 158 | 1 | no | — |
| 389 | #100 | — | 158 | 2 | no | — |
| 390 | #99 | — | 158 | 2 | no | — |
| 391 | #97 | — | 2 | 1 | no | — |
| 392 | #97 | — | 158 | 1 | no | — |
| 393 | C4×C8 | — | 2 | 1 | no | — |
| 394 | C4×C8 | — | 158 | 1 | no | — |
| 395 | C24 | — | 2 | 1 | no | — |
| 396 | #41 | — | 158 | 1 | no | — |
| 397 | #41 | — | 158 | 1 | no | — |
| 398 | #41 | — | 158 | 1 | no | — |
| 399 | #41 | — | 158 | 1 | no | — |
| 400 | C2×Q8 | — | 2 | 1 | no | — |
| 401 | C2×Q8 | — | 2 | 1 | no | — |
| 402 | C2×Q8 | — | 2 | 1 | no | — |
| 403 | C2×Q8 | — | 2 | 1 | no | — |
| 404 | C2×Q8 | — | 2 | 1 | no | — |
| 405 | C2×Q8 | — | 79 | 1 | no | — |
| 406 | C2×Q8 | C2×C22⋊D79 | 1 | 2 | yes | — |
| 407 | C2×D4 | — | 2 | 1 | no | — |
| 408 | C2×D4 | — | 2 | 1 | no | — |
| 409 | C2×D4 | — | 2 | 1 | no | — |
| 410 | C2×D4 | — | 2 | 1 | no | — |
| 411 | C2×D4 | — | 2 | 1 | no | — |
| 412 | C2×D4 | — | 79 | 1 | no | — |
| 413 | C2×D4 | — | 158 | 1 | no | — |
| 414 | C2×D4 | C2×C22⋊D79 | 1 | 2 | yes | — |
| 415 | C22×C4 | — | 2 | 1 | no | — |
| 416 | C22×C4 | — | 4 | 2 | no | — |
| 417 | C22×C4 | — | 158 | 1 | no | — |
| 418 | C22×C4 | C23×D79 | 1 | 1 | yes | characteristic |
| 419 | Q16 | — | 316 | 2 | no | — |
| 420 | SD16 | — | 2 | 2 | no | — |
| 421 | SD16 | — | 2 | 2 | no | — |
| 422 | SD16 | — | 2 | 2 | no | — |
| 423 | SD16 | — | 2 | 2 | no | — |
| 424 | SD16 | — | 316 | 2 | no | — |
| 425 | SD16 | — | 316 | 2 | no | — |
| 426 | D8 | — | 316 | 2 | no | — |
| 427 | M16 | — | 2 | 1 | no | — |
| 428 | M16 | — | 2 | 1 | no | — |
| 429 | M16 | — | 316 | 1 | no | — |
| 430 | M16 | — | 316 | 1 | no | — |
| 431 | M16 | — | 158 | 1 | no | — |
| 432 | M16 | — | 158 | 1 | no | — |
| 433 | M16 | — | 158 | 1 | no | — |
| 434 | M16 | — | 158 | 1 | no | — |
| 435 | M16 | — | 158 | 1 | no | — |
| 436 | M16 | — | 158 | 1 | no | — |
| 437 | M16 | — | 158 | 1 | no | — |
| 438 | M16 | — | 158 | 1 | no | — |
| 439 | M16 | — | 158 | 1 | no | — |
| 440 | M16 | — | 158 | 1 | no | — |
| 441 | M16 | — | 158 | 1 | no | — |
| 442 | M16 | — | 158 | 1 | no | — |
| 443 | C2×C8 | — | 2 | 1 | no | — |
| 444 | C2×C8 | — | 316 | 1 | no | — |
| 445 | C2×C8 | — | 316 | 1 | no | — |
| 446 | C2×C8 | — | 158 | 1 | no | — |
| 447 | C2×C8 | — | 158 | 1 | no | — |
| 448 | C2×C8 | — | 158 | 1 | no | — |
| 449 | C2×C8 | — | 158 | 1 | no | — |
| 450 | C2×C8 | — | 158 | 1 | no | — |
| 451 | C2×C8 | — | 158 | 1 | no | — |
| 452 | C2×C8 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 453 | C2×C8 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 454 | C2×C8 | #11929624 | 1 | 1 | yes | characteristic |
| 455 | C2×C8 | #11929624 | 1 | 1 | yes | characteristic |
| 456 | C2×C8 | #11929624 | 1 | 1 | yes | characteristic |
| 457 | C2×C8 | #11929624 | 1 | 1 | yes | characteristic |
| 458 | C4⋊C4 | — | 2 | 1 | no | — |
| 459 | C4⋊C4 | — | 2 | 1 | no | — |
| 460 | C4⋊C4 | — | 2 | 1 | no | — |
| 461 | C4⋊C4 | — | 4 | 2 | no | — |
| 462 | C4⋊C4 | — | 158 | 1 | no | — |
| 463 | C22⋊C4 | — | 2 | 1 | no | — |
| 464 | C22⋊C4 | — | 2 | 1 | no | — |
| 465 | C22⋊C4 | — | 4 | 2 | no | — |
| 466 | C22⋊C4 | — | 158 | 1 | no | — |
| 467 | C22⋊C4 | #11929623 | 1 | 2 | yes | — |
| 468 | C42 | — | 2 | 1 | no | — |
| 469 | C42 | — | 2 | 1 | no | — |
| 470 | C42 | — | 2 | 1 | no | — |
| 471 | C42 | — | 4 | 2 | no | — |
| 472 | C42 | — | 158 | 1 | no | — |
| 473 | C23 | — | 2 | 2 | no | — |
| 474 | C23 | — | 4 | 1 | no | — |
| 475 | C23 | — | 4 | 1 | no | — |
| 476 | C23 | — | 16 | 1 | no | — |
| 477 | C23 | — | 158 | 1 | no | — |
| 478 | C23 | C2×#11929623 | 1 | 1 | yes | characteristic |
| 479 | Q8 | — | 2 | 2 | no | — |
| 480 | Q8 | — | 2 | 2 | no | — |
| 481 | Q8 | — | 4 | 1 | no | — |
| 482 | Q8 | — | 4 | 1 | no | — |
| 483 | Q8 | — | 158 | 1 | no | — |
| 484 | Q8 | — | 158 | 1 | no | — |
| 485 | D4 | — | 2 | 2 | no | — |
| 486 | D4 | — | 2 | 2 | no | — |
| 487 | D4 | — | 4 | 1 | no | — |
| 488 | D4 | — | 4 | 1 | no | — |
| 489 | D4 | — | 316 | 1 | no | — |
| 490 | D4 | — | 316 | 1 | no | — |
| 491 | D4 | — | 158 | 1 | no | — |
| 492 | D4 | — | 158 | 1 | no | — |
| 493 | C2×C4 | — | 2 | 2 | no | — |
| 494 | C2×C4 | — | 2 | 2 | no | — |
| 495 | C2×C4 | — | 4 | 1 | no | — |
| 496 | C2×C4 | — | 4 | 1 | no | — |
| 497 | C2×C4 | — | 4 | 1 | no | — |
| 498 | C2×C4 | — | 4 | 1 | no | — |
| 499 | C2×C4 | — | 16 | 2 | no | — |
| 500 | C2×C4 | — | 316 | 1 | no | — |
| 501 | C2×C4 | — | 316 | 1 | no | — |
| 502 | C2×C4 | — | 316 | 1 | no | — |
| 503 | C2×C4 | — | 158 | 1 | no | — |
| 504 | C2×C4 | C22×C22⋊D79 | 1 | 1 | yes | characteristic |
| 505 | C2×C4 | #41×D79 | 1 | 1 | yes | characteristic |
| 506 | C2×C4 | C2×#11929624 | 1 | 1 | yes | characteristic |
| 507 | C2×C4 | C2×#11929624 | 1 | 1 | yes | characteristic |
| 508 | C2×C4 | #14579206 | 1 | 1 | yes | characteristic |
| 509 | C2×C4 | #14579207 | 1 | 1 | yes | characteristic |
| 510 | C8 | — | 4 | 1 | no | — |
| 511 | C8 | — | 316 | 1 | no | — |
| 512 | C8 | — | 316 | 1 | no | — |
| 513 | C8 | — | 316 | 1 | no | — |
| 514 | C8 | — | 316 | 1 | no | — |
| 515 | C8 | — | 316 | 1 | no | — |
| 516 | C8 | — | 316 | 1 | no | — |
| 517 | C8 | #14579144 | 1 | 1 | yes | characteristic |
| 518 | C8 | #14579144 | 1 | 1 | yes | characteristic |
| 519 | C8 | #14579144 | 1 | 1 | yes | characteristic |
| 520 | C8 | #14579144 | 1 | 1 | yes | characteristic |
| 521 | C22 | — | 4 | 1 | no | — |
| 522 | C22 | — | 4 | 2 | no | — |
| 523 | C22 | — | 8 | 2 | no | — |
| 524 | C22 | — | 16 | 1 | no | — |
| 525 | C22 | — | 16 | 1 | no | — |
| 526 | C22 | — | 316 | 1 | no | — |
| 527 | C22 | — | 632 | 1 | no | — |
| 528 | C22 | #19099095 | 1 | 1 | yes | characteristic |
| 529 | C22 | #19099207 | 1 | 1 | yes | characteristic |
| 530 | C22 | #19099278 | 1 | 1 | yes | characteristic |
| 531 | C4 | — | 4 | 2 | no | — |
| 532 | C4 | — | 4 | 2 | no | — |
| 533 | C4 | — | 8 | 1 | no | — |
| 534 | C4 | — | 8 | 1 | no | — |
| 535 | C4 | — | 316 | 1 | no | — |
| 536 | C4 | — | 632 | 1 | no | — |
| 537 | C4 | C2×#14579144 | 1 | 1 | yes | characteristic |
| 538 | C4 | #19099164 | 1 | 1 | yes | characteristic |
| 539 | C4 | #19099201 | 1 | 1 | yes | characteristic |
| 540 | C4 | #19099263 | 1 | 1 | yes | characteristic |
| 541 | C2 | — | 2 | 1 | no | — |
| 542 | C2 | — | 2 | 1 | no | — |
| 543 | C2 | — | 2 | 1 | no | — |
| 544 | C2 | — | 8 | 2 | no | — |
| 545 | C2 | — | 632 | 1 | no | — |
| 546 | C2 | #23766886 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta