| 1 | D97⋊#131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#15690897 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #20261782 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #20261780 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #20261778 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #20261777 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #20261750 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #20261733 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20261732 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #20261701 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #20261531 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #15690898 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | #15690898 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #15690897 | — | 2 | 1 | no | — |
| 15 | #15690897 | — | 2 | 1 | no | — |
| 16 | #15690897 | — | 2 | 1 | no | — |
| 17 | #15690897 | — | 2 | 1 | no | — |
| 18 | #15690897 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #15690897 | C22 | 1 | 2 | yes | complemented |
| 20 | #15690897 | C22 | 1 | 2 | yes | complemented |
| 21 | #15690897 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#13095521 | C22 | 1 | 1 | yes | characteristic |
| 23 | D97⋊M16 | — | 2 | 1 | no | — |
| 24 | D97⋊M16 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#13095520 | — | 2 | 1 | no | — |
| 26 | C2×#13095519 | — | 2 | 1 | no | — |
| 27 | C2×#13095519 | C22 | 1 | 1 | yes | characteristic |
| 28 | C22×#11715897 | — | 2 | 1 | no | — |
| 29 | #15690889 | C22 | 1 | 1 | yes | characteristic |
| 30 | #15690881 | C22 | 1 | 2 | yes | complemented |
| 31 | #15690880 | C22 | 1 | 2 | yes | complemented |
| 32 | #15690875 | C22 | 1 | 2 | yes | complemented |
| 33 | #15690874 | C22 | 1 | 2 | yes | complemented |
| 34 | #15690874 | C22 | 1 | 2 | yes | complemented |
| 35 | #15690874 | C22 | 1 | 2 | yes | complemented |
| 36 | #15690864 | C22 | 1 | 2 | yes | complemented |
| 37 | C8×#87604 | C22 | 1 | 2 | yes | complemented |
| 38 | C2×#13095510 | C22 | 1 | 1 | yes | characteristic |
| 39 | #41×D97 | C22 | 1 | 1 | yes | characteristic |
| 40 | #15690843 | C4 | 1 | 1 | yes | characteristic, complemented |
| 41 | #15690840 | C4 | 1 | 1 | yes | characteristic, complemented |
| 42 | #15690839 | C4 | 1 | 2 | yes | complemented |
| 43 | #15690836 | C4 | 1 | 1 | yes | characteristic, complemented |
| 44 | #15690834 | C4 | 1 | 2 | yes | complemented |
| 45 | #15690831 | C22 | 1 | 2 | yes | — |
| 46 | #15690829 | C22 | 1 | 2 | yes | — |
| 47 | M16×D97 | C22 | 1 | 1 | yes | characteristic |
| 48 | AGL(1,ℤ/8)×C97 | C4 | 1 | 1 | yes | characteristic, complemented |
| 49 | #13095521 | — | 2 | 1 | no | — |
| 50 | #13095521 | — | 2 | 1 | no | — |
| 51 | #13095521 | — | 2 | 1 | no | — |
| 52 | #13095521 | C23 | 1 | 1 | yes | characteristic |
| 53 | #13095521 | C23 | 1 | 1 | yes | characteristic |
| 54 | #13095521 | C23 | 1 | 2 | yes | — |
| 55 | #13095520 | — | 2 | 1 | no | — |
| 56 | #13095520 | — | 2 | 2 | no | — |
| 57 | #13095520 | — | 2 | 2 | no | — |
| 58 | #13095520 | — | 2 | 1 | no | — |
| 59 | #13095520 | — | 2 | 1 | no | — |
| 60 | #13095519 | — | 2 | 1 | no | — |
| 61 | #13095519 | — | 2 | 1 | no | — |
| 62 | #13095519 | — | 2 | 1 | no | — |
| 63 | #13095519 | D4 | 1 | 1 | yes | characteristic |
| 64 | #13095519 | D4 | 1 | 1 | yes | characteristic |
| 65 | #13095519 | C23 | 1 | 1 | yes | characteristic |
| 66 | #13095519 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×#11715897 | — | 2 | 1 | no | — |
| 68 | C2×#11715897 | — | 2 | 2 | no | — |
| 69 | C2×#11715897 | — | 2 | 2 | no | — |
| 70 | C2×#11715897 | — | 2 | 1 | no | — |
| 71 | C2×#11715897 | — | 2 | 1 | no | — |
| 72 | C2×#11715897 | D4 | 1 | 1 | yes | characteristic |
| 73 | C2×#11715897 | D4 | 1 | 1 | yes | characteristic |
| 74 | C4⋊#87604 | — | 2 | 1 | no | — |
| 75 | C22⋊#87604 | — | 2 | 1 | no | — |
| 76 | C4×#87604 | C23 | 1 | 2 | yes | — |
| 77 | #13095512 | C23 | 1 | 1 | yes | characteristic |
| 78 | #13095511 | — | 2 | 1 | no | — |
| 79 | #13095511 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | #13095510 | — | 2 | 1 | no | — |
| 81 | #13095510 | — | 2 | 1 | no | — |
| 82 | #13095510 | — | 2 | 1 | no | — |
| 83 | #13095510 | C2×C4 | 1 | 2 | yes | — |
| 84 | #13095510 | C23 | 1 | 1 | yes | characteristic |
| 85 | #13095510 | C23 | 1 | 2 | yes | — |
| 86 | C2×Dic194 | C2×C4 | 1 | 1 | yes | characteristic |
| 87 | Q8×D97 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | C2×C22⋊D97 | — | 2 | 1 | no | — |
| 89 | D4×D97 | — | 2 | 1 | no | — |
| 90 | D4×D97 | C2×C4 | 1 | 1 | yes | characteristic |
| 91 | C22×Dic97 | — | 2 | 1 | no | — |
| 92 | C2×C4×D97 | — | 2 | 1 | no | — |
| 93 | C2×C4×D97 | C23 | 1 | 1 | yes | characteristic |
| 94 | Dic388 | C2×C4 | 1 | 2 | yes | — |
| 95 | #13095501 | C2×C4 | 1 | 2 | yes | — |
| 96 | #13095500 | C2×C4 | 1 | 2 | yes | — |
| 97 | #13095499 | C2×C4 | 1 | 2 | yes | — |
| 98 | #13095499 | C2×C4 | 1 | 2 | yes | — |
| 99 | #13095496 | C2×C4 | 1 | 2 | yes | — |
| 100 | #13095495 | C2×C4 | 1 | 1 | yes | characteristic |
| 101 | #13095494 | C2×C4 | 1 | 2 | yes | — |
| 102 | C8×D97 | C23 | 1 | 2 | yes | — |
| 103 | #41×C97 | C2×C4 | 1 | 1 | yes | characteristic |
| 104 | C2×D4×C97 | C2×C4 | 1 | 1 | yes | characteristic |
| 105 | SD16×C97 | C2×C4 | 1 | 2 | yes | — |
| 106 | D8×C97 | C2×C4 | 1 | 2 | yes | — |
| 107 | M16×C97 | C2×C4 | 1 | 1 | yes | characteristic |
| 108 | C23×C97 | — | 2 | 1 | no | — |
| 109 | C22×D97 | — | 2 | 1 | no | — |
| 110 | C22×D97 | #41 | 1 | 1 | yes | characteristic |
| 111 | C2×#87604 | — | 2 | 2 | no | — |
| 112 | Q8×C97 | C22×C4 | 1 | 1 | yes | characteristic |
| 113 | D4×C97 | — | 2 | 1 | no | — |
| 114 | D4×C97 | — | 2 | 1 | no | — |
| 115 | D4×C97 | C22×C4 | 1 | 1 | yes | characteristic |
| 116 | D4×C97 | C22×C4 | 1 | 2 | yes | — |
| 117 | C2×C4×C97 | — | 2 | 1 | no | — |
| 118 | C2×C4×C97 | C22×C4 | 1 | 1 | yes | characteristic |
| 119 | C22⋊D97 | — | 2 | 1 | no | — |
| 120 | C22⋊D97 | — | 2 | 2 | no | — |
| 121 | C22⋊D97 | — | 2 | 1 | no | — |
| 122 | C22⋊D97 | — | 2 | 2 | no | — |
| 123 | C22⋊D97 | — | 2 | 1 | no | — |
| 124 | C2×Dic97 | — | 2 | 1 | no | — |
| 125 | C2×Dic97 | — | 2 | 2 | no | — |
| 126 | C2×Dic97 | — | 2 | 1 | no | — |
| 127 | C2×Dic97 | — | 2 | 2 | no | — |
| 128 | C2×Dic97 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | D388 | — | 2 | 1 | no | — |
| 130 | D388 | C22×C4 | 1 | 1 | yes | characteristic |
| 131 | C4×D97 | — | 2 | 1 | no | — |
| 132 | C4×D97 | — | 2 | 1 | no | — |
| 133 | C4×D97 | — | 2 | 1 | no | — |
| 134 | C4×D97 | C22×C4 | 1 | 1 | yes | characteristic |
| 135 | C4×D97 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C4×D97 | #41 | 1 | 1 | yes | characteristic |
| 137 | C4×D97 | C24 | 1 | 1 | yes | characteristic |
| 138 | Dic194 | — | 2 | 1 | no | — |
| 139 | Dic194 | — | 2 | 1 | no | — |
| 140 | Dic194 | C22×C4 | 1 | 1 | yes | characteristic |
| 141 | Dic194 | C22×C4 | 1 | 2 | yes | — |
| 142 | #11715897 | — | 2 | 2 | no | — |
| 143 | #11715897 | — | 2 | 1 | no | — |
| 144 | #11715897 | — | 2 | 1 | no | — |
| 145 | #11715897 | C2×D4 | 1 | 1 | yes | characteristic |
| 146 | #11715897 | C2×D4 | 1 | 1 | yes | characteristic |
| 147 | #11715897 | C2×D4 | 1 | 1 | yes | characteristic |
| 148 | #11715897 | C2×D4 | 1 | 1 | yes | characteristic |
| 149 | C8×C97 | C22×C4 | 1 | 2 | yes | — |
| 150 | #11715895 | C22×C4 | 1 | 2 | yes | — |
| 151 | C22×C97 | — | 2 | 2 | no | — |
| 152 | C22×C97 | — | 2 | 1 | no | — |
| 153 | C22×C97 | — | 4 | 2 | no | — |
| 154 | C22×C97 | C4×D4 | 1 | 1 | yes | characteristic |
| 155 | C2×D97 | — | 2 | 1 | no | — |
| 156 | C2×D97 | — | 4 | 1 | no | — |
| 157 | C2×D97 | — | 4 | 2 | no | — |
| 158 | C2×D97 | C4×D4 | 1 | 1 | yes | characteristic |
| 159 | C2×D97 | C2×#41 | 1 | 1 | yes | characteristic |
| 160 | #87604 | — | 4 | 2 | no | — |
| 161 | C4×C97 | — | 2 | 1 | no | — |
| 162 | C4×C97 | C4×D4 | 1 | 1 | yes | characteristic |
| 163 | C4×C97 | C23×C4 | 1 | 1 | yes | characteristic |
| 164 | Dic97 | — | 2 | 1 | no | — |
| 165 | Dic97 | — | 2 | 2 | no | — |
| 166 | Dic97 | C4×D4 | 1 | 1 | yes | characteristic |
| 167 | Dic97 | C22×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×C97 | — | 2 | 1 | no | — |
| 169 | C2×C97 | — | 4 | 1 | no | — |
| 170 | C2×C97 | — | 4 | 2 | no | — |
| 171 | C2×C97 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 172 | D97 | — | 2 | 1 | no | — |
| 173 | D97 | — | 2 | 1 | no | — |
| 174 | D97 | — | 4 | 1 | no | — |
| 175 | #2955 | — | 97 | 1 | no | maximal, Sylow |
| 176 | C97 | #2955 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 177 | #575 | — | 97 | 1 | no | — |
| 178 | C2×#131 | — | 97 | 1 | no | — |
| 179 | C2×#131 | — | 97 | 1 | no | — |
| 180 | #444 | — | 97 | 2 | no | — |
| 181 | #444 | — | 97 | 2 | no | — |
| 182 | #443 | — | 97 | 2 | no | — |
| 183 | #443 | — | 97 | 2 | no | — |
| 184 | #430 | — | 97 | 1 | no | — |
| 185 | #421 | — | 97 | 1 | no | — |
| 186 | #421 | — | 97 | 1 | no | — |
| 187 | #405 | — | 97 | 1 | no | — |
| 188 | C2×#41 | — | 97 | 1 | no | — |
| 189 | C2×#41 | — | 97 | 1 | no | — |
| 190 | #137 | — | 97 | 1 | no | — |
| 191 | #137 | — | 97 | 2 | no | — |
| 192 | #137 | — | 97 | 1 | no | — |
| 193 | AGL(1,ℤ/8) | — | 97 | 1 | no | — |
| 194 | AGL(1,ℤ/8) | — | 97 | 2 | no | — |
| 195 | AGL(1,ℤ/8) | #87604 | 1 | 1 | yes | characteristic, complemented |
| 196 | #135 | — | 97 | 2 | no | — |
| 197 | #135 | — | 97 | 2 | no | — |
| 198 | #131 | — | 97 | 2 | no | — |
| 199 | #131 | — | 97 | 1 | no | — |
| 200 | #131 | — | 97 | 2 | no | — |
| 201 | #131 | — | 97 | 1 | no | — |
| 202 | #131 | — | 97 | 1 | no | — |
| 203 | #131 | — | 97 | 1 | no | — |
| 204 | #131 | — | 194 | 1 | no | — |
| 205 | #131 | — | 194 | 1 | no | — |
| 206 | #131 | — | 194 | 1 | no | — |
| 207 | #131 | — | 194 | 1 | no | — |
| 208 | C2×M16 | — | 97 | 1 | no | — |
| 209 | C2×M16 | — | 97 | 1 | no | — |
| 210 | C2×M16 | — | 97 | 1 | no | — |
| 211 | C2×M16 | — | 194 | 1 | no | — |
| 212 | C2×M16 | — | 194 | 1 | no | — |
| 213 | C22×C8 | — | 97 | 1 | no | — |
| 214 | C22×C8 | — | 194 | 1 | no | — |
| 215 | C22×C8 | — | 194 | 1 | no | — |
| 216 | #117 | — | 97 | 1 | no | — |
| 217 | #108 | — | 97 | 2 | no | — |
| 218 | #108 | — | 97 | 2 | no | — |
| 219 | #104 | — | 97 | 2 | no | — |
| 220 | #104 | — | 97 | 2 | no | — |
| 221 | #104 | — | 97 | 2 | no | — |
| 222 | #104 | — | 97 | 2 | no | — |
| 223 | #97 | — | 97 | 2 | no | — |
| 224 | C4×C8 | — | 97 | 2 | no | — |
| 225 | #41 | — | 97 | 1 | no | — |
| 226 | #41 | — | 97 | 2 | no | — |
| 227 | #41 | — | 97 | 2 | no | — |
| 228 | #41 | — | 97 | 1 | no | — |
| 229 | #41 | — | 97 | 1 | no | — |
| 230 | #41 | — | 194 | 1 | no | — |
| 231 | #41 | — | 194 | 1 | no | — |
| 232 | #41 | — | 194 | 1 | no | — |
| 233 | #41 | — | 194 | 1 | no | — |
| 234 | #41 | C2×#87604 | 1 | 1 | yes | characteristic |
| 235 | C2×Q8 | — | 97 | 1 | no | — |
| 236 | C2×Q8 | — | 97 | 1 | no | — |
| 237 | C2×D4 | — | 97 | 1 | no | — |
| 238 | C2×D4 | — | 194 | 1 | no | — |
| 239 | C2×D4 | — | 194 | 1 | no | — |
| 240 | C2×D4 | C2×#87604 | 1 | 1 | yes | characteristic |
| 241 | C22×C4 | — | 97 | 1 | no | — |
| 242 | C22×C4 | — | 194 | 1 | no | — |
| 243 | C22×C4 | — | 194 | 1 | no | — |
| 244 | Q16 | — | 97 | 2 | no | — |
| 245 | Q16 | — | 97 | 2 | no | — |
| 246 | SD16 | — | 97 | 2 | no | — |
| 247 | SD16 | — | 97 | 2 | no | — |
| 248 | SD16 | — | 97 | 2 | no | — |
| 249 | SD16 | C2×#87604 | 1 | 2 | yes | — |
| 250 | D8 | — | 97 | 2 | no | — |
| 251 | D8 | C2×#87604 | 1 | 2 | yes | — |
| 252 | M16 | — | 97 | 1 | no | — |
| 253 | M16 | — | 97 | 2 | no | — |
| 254 | M16 | — | 97 | 1 | no | — |
| 255 | M16 | — | 97 | 1 | no | — |
| 256 | M16 | — | 97 | 2 | no | — |
| 257 | M16 | — | 194 | 2 | no | — |
| 258 | M16 | — | 194 | 1 | no | — |
| 259 | M16 | — | 194 | 2 | no | — |
| 260 | M16 | — | 194 | 1 | no | — |
| 261 | M16 | — | 194 | 1 | no | — |
| 262 | M16 | — | 194 | 1 | no | — |
| 263 | M16 | — | 194 | 1 | no | — |
| 264 | M16 | — | 194 | 1 | no | — |
| 265 | M16 | C2×#87604 | 1 | 1 | yes | characteristic |
| 266 | C2×C8 | — | 97 | 1 | no | — |
| 267 | C2×C8 | — | 97 | 1 | no | — |
| 268 | C2×C8 | — | 97 | 1 | no | — |
| 269 | C2×C8 | — | 97 | 1 | no | — |
| 270 | C2×C8 | — | 97 | 1 | no | — |
| 271 | C2×C8 | — | 97 | 1 | no | — |
| 272 | C2×C8 | — | 97 | 2 | no | — |
| 273 | C2×C8 | — | 194 | 2 | no | — |
| 274 | C2×C8 | — | 194 | 1 | no | — |
| 275 | C2×C8 | — | 194 | 2 | no | — |
| 276 | C2×C8 | — | 194 | 1 | no | — |
| 277 | C2×C8 | — | 194 | 1 | no | — |
| 278 | C2×C8 | — | 194 | 1 | no | — |
| 279 | C2×C8 | — | 194 | 1 | no | — |
| 280 | C2×C8 | — | 194 | 1 | no | — |
| 281 | C4⋊C4 | — | 194 | 1 | no | — |
| 282 | C22⋊C4 | — | 194 | 1 | no | — |
| 283 | C42 | — | 97 | 2 | no | — |
| 284 | C23 | — | 2 | 1 | no | — |
| 285 | C23 | — | 97 | 1 | no | — |
| 286 | C23 | — | 194 | 1 | no | — |
| 287 | Q8 | — | 97 | 1 | no | — |
| 288 | Q8 | — | 97 | 2 | no | — |
| 289 | Q8 | — | 194 | 1 | no | — |
| 290 | Q8 | — | 194 | 1 | no | — |
| 291 | Q8 | C22×#87604 | 1 | 1 | yes | characteristic |
| 292 | D4 | — | 2 | 1 | no | — |
| 293 | D4 | — | 2 | 1 | no | — |
| 294 | D4 | — | 97 | 1 | no | — |
| 295 | D4 | — | 194 | 1 | no | — |
| 296 | D4 | — | 194 | 1 | no | — |
| 297 | D4 | — | 194 | 1 | no | — |
| 298 | D4 | — | 194 | 2 | no | — |
| 299 | D4 | — | 194 | 2 | no | — |
| 300 | D4 | — | 194 | 1 | no | — |
| 301 | D4 | C22×#87604 | 1 | 2 | yes | — |
| 302 | D4 | C22×#87604 | 1 | 1 | yes | characteristic |
| 303 | C2×C4 | — | 2 | 1 | no | — |
| 304 | C2×C4 | — | 97 | 1 | no | — |
| 305 | C2×C4 | — | 97 | 1 | no | — |
| 306 | C2×C4 | — | 97 | 1 | no | — |
| 307 | C2×C4 | — | 97 | 1 | no | — |
| 308 | C2×C4 | — | 97 | 1 | no | — |
| 309 | C2×C4 | — | 194 | 1 | no | — |
| 310 | C2×C4 | — | 194 | 1 | no | — |
| 311 | C2×C4 | — | 194 | 1 | no | — |
| 312 | C2×C4 | — | 194 | 2 | no | — |
| 313 | C2×C4 | — | 194 | 2 | no | — |
| 314 | C2×C4 | — | 194 | 2 | no | — |
| 315 | C2×C4 | — | 194 | 1 | no | — |
| 316 | C2×C4 | — | 194 | 1 | no | — |
| 317 | C2×C4 | C22×#87604 | 1 | 1 | yes | characteristic |
| 318 | C8 | — | 97 | 1 | no | — |
| 319 | C8 | — | 97 | 1 | no | — |
| 320 | C8 | — | 97 | 1 | no | — |
| 321 | C8 | — | 97 | 1 | no | — |
| 322 | C8 | — | 97 | 2 | no | — |
| 323 | C8 | — | 194 | 2 | no | — |
| 324 | C8 | — | 194 | 1 | no | — |
| 325 | C8 | — | 194 | 1 | no | — |
| 326 | C8 | C22×#87604 | 1 | 2 | yes | — |
| 327 | C22 | — | 2 | 1 | no | — |
| 328 | C22 | — | 2 | 2 | no | — |
| 329 | C22 | — | 4 | 2 | no | — |
| 330 | C22 | — | 97 | 1 | no | — |
| 331 | C22 | — | 97 | 1 | no | — |
| 332 | C22 | — | 388 | 1 | no | — |
| 333 | C22 | — | 388 | 2 | no | — |
| 334 | C22 | — | 194 | 1 | no | — |
| 335 | C22 | D4×#87604 | 1 | 1 | yes | characteristic |
| 336 | C4 | — | 2 | 1 | no | — |
| 337 | C4 | — | 97 | 1 | no | — |
| 338 | C4 | — | 97 | 1 | no | — |
| 339 | C4 | — | 388 | 2 | no | — |
| 340 | C4 | — | 194 | 1 | no | — |
| 341 | C4 | — | 194 | 2 | no | — |
| 342 | C4 | D4×#87604 | 1 | 1 | yes | characteristic |
| 343 | C4 | C23×#87604 | 1 | 1 | yes | characteristic |
| 344 | C2 | — | 2 | 1 | no | — |
| 345 | C2 | — | 4 | 2 | no | — |
| 346 | C2 | — | 4 | 1 | no | — |
| 347 | C2 | — | 388 | 1 | no | — |
| 348 | C2 | — | 194 | 1 | no | — |
| 349 | C2 | — | 194 | 1 | no | — |
| 350 | C2 | C2×D4×#87604 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta