| 1 | #23758006 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #23758001 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #23757667 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #23757664 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #23757644 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #23757495 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #23757494 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #23757482 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #23757478 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #23757477 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #23757472 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #23757401 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #23757372 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #23757367 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #440×C157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×Dic628 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×Dic628 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14578944 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#14578943 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#14578943 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#14578942 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#14578942 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#14578941 | C22 | 1 | 1 | yes | characteristic |
| 24 | #19097771 | C22 | 1 | 1 | yes | characteristic |
| 25 | #19097769 | C22 | 1 | 1 | yes | characteristic |
| 26 | #19097769 | C22 | 1 | 1 | yes | characteristic |
| 27 | #19097767 | C22 | 1 | 1 | yes | characteristic |
| 28 | #19097763 | — | 2 | 1 | no | — |
| 29 | #19097761 | — | 2 | 1 | no | — |
| 30 | #19097761 | — | 2 | 1 | no | — |
| 31 | #19097759 | C22 | 1 | 1 | yes | characteristic |
| 32 | #19097758 | C22 | 1 | 1 | yes | characteristic |
| 33 | #19097757 | — | 2 | 1 | no | — |
| 34 | #19097754 | — | 2 | 1 | no | — |
| 35 | #19097753 | — | 2 | 1 | no | — |
| 36 | C4×Dic314 | — | 2 | 1 | no | — |
| 37 | C4×Dic314 | C22 | 1 | 1 | yes | characteristic |
| 38 | #19097736 | C22 | 1 | 1 | yes | characteristic |
| 39 | #19097736 | C22 | 1 | 1 | yes | characteristic |
| 40 | #19097736 | C22 | 1 | 1 | yes | characteristic |
| 41 | #19097733 | C22 | 1 | 1 | yes | characteristic |
| 42 | C4×C22⋊D157 | — | 2 | 1 | no | — |
| 43 | C4⋊#11929434 | C22 | 1 | 1 | yes | characteristic |
| 44 | #19097700 | C22 | 1 | 1 | yes | characteristic |
| 45 | #19097700 | C22 | 1 | 1 | yes | characteristic |
| 46 | #19097694 | C22 | 1 | 1 | yes | characteristic |
| 47 | #19097694 | C22 | 1 | 1 | yes | characteristic |
| 48 | #19097694 | C22 | 1 | 1 | yes | characteristic |
| 49 | #19097691 | C22 | 1 | 1 | yes | characteristic |
| 50 | #19097681 | C22 | 1 | 1 | yes | characteristic |
| 51 | C8×Dic157 | C22 | 1 | 1 | yes | characteristic |
| 52 | C2×SD16×C157 | C22 | 1 | 1 | yes | characteristic |
| 53 | C4×Q8×C157 | C22 | 1 | 1 | yes | characteristic |
| 54 | C4×D4×C157 | C22 | 1 | 1 | yes | characteristic |
| 55 | #107×C157 | C22 | 1 | 1 | yes | characteristic |
| 56 | #103×C157 | C22 | 1 | 1 | yes | characteristic |
| 57 | #102×C157 | C22 | 1 | 1 | yes | characteristic |
| 58 | #97×C157 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×Dic314 | D4 | 1 | 1 | yes | characteristic |
| 60 | C2×Dic314 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×Dic314 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×Dic314 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×D628 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×C22⋊D157 | — | 2 | 1 | no | — |
| 65 | C2×C22⋊D157 | — | 2 | 1 | no | — |
| 66 | C2×C4×D157 | — | 2 | 1 | no | — |
| 67 | Dic628 | — | 2 | 2 | no | — |
| 68 | Dic628 | — | 4 | 1 | no | — |
| 69 | #14578944 | — | 4 | 1 | no | — |
| 70 | #14578943 | — | 2 | 2 | no | — |
| 71 | #14578943 | — | 4 | 1 | no | — |
| 72 | #14578942 | — | 4 | 1 | no | — |
| 73 | #14578942 | — | 4 | 1 | no | — |
| 74 | #14578941 | — | 4 | 1 | no | — |
| 75 | C2×#11929434 | C23 | 1 | 1 | yes | characteristic |
| 76 | C2×#11929434 | C23 | 1 | 1 | yes | characteristic |
| 77 | C4⋊Dic157 | — | 2 | 1 | no | — |
| 78 | C4⋊Dic157 | — | 2 | 1 | no | — |
| 79 | C4⋊Dic157 | D4 | 1 | 1 | yes | characteristic |
| 80 | #14578933 | — | 2 | 1 | no | — |
| 81 | #14578933 | — | 2 | 1 | no | — |
| 82 | #14578933 | — | 2 | 1 | no | — |
| 83 | #14578933 | — | 2 | 1 | no | — |
| 84 | #14578933 | — | 2 | 1 | no | — |
| 85 | #14578933 | — | 2 | 1 | no | — |
| 86 | #14578933 | — | 2 | 1 | no | — |
| 87 | #14578933 | D4 | 1 | 1 | yes | characteristic |
| 88 | #14578933 | D4 | 1 | 1 | yes | characteristic |
| 89 | C22⋊Dic157 | — | 2 | 1 | no | — |
| 90 | C22⋊Dic157 | — | 2 | 1 | no | — |
| 91 | #14578931 | — | 2 | 1 | no | — |
| 92 | #14578931 | — | 2 | 1 | no | — |
| 93 | #14578931 | — | 2 | 1 | no | — |
| 94 | C4×Dic157 | — | 2 | 1 | no | — |
| 95 | C4×Dic157 | — | 2 | 1 | no | — |
| 96 | C4×Dic157 | — | 2 | 1 | no | — |
| 97 | C4×Dic157 | C23 | 1 | 1 | yes | characteristic |
| 98 | C4×Dic157 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×Q8×C157 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×D4×C157 | C23 | 1 | 1 | yes | characteristic |
| 101 | C22×C4×C157 | — | 2 | 1 | no | — |
| 102 | SD16×C157 | — | 2 | 2 | no | — |
| 103 | C2×C8×C157 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×C8×C157 | C23 | 1 | 1 | yes | characteristic |
| 105 | C4⋊C4×C157 | — | 2 | 1 | no | — |
| 106 | C4⋊C4×C157 | C23 | 1 | 1 | yes | characteristic |
| 107 | C4⋊C4×C157 | C23 | 1 | 1 | yes | characteristic |
| 108 | C22⋊C4×C157 | — | 2 | 1 | no | — |
| 109 | C42×C157 | — | 2 | 1 | no | — |
| 110 | C42×C157 | C23 | 1 | 1 | yes | characteristic |
| 111 | C22×D157 | — | 2 | 1 | no | — |
| 112 | Dic314 | — | 2 | 2 | no | — |
| 113 | Dic314 | — | 2 | 1 | no | — |
| 114 | Dic314 | — | 2 | 1 | no | — |
| 115 | Dic314 | — | 2 | 1 | no | — |
| 116 | Dic314 | — | 2 | 1 | no | — |
| 117 | Dic314 | — | 2 | 1 | no | — |
| 118 | Dic314 | — | 2 | 1 | no | — |
| 119 | D628 | — | 2 | 1 | no | — |
| 120 | D628 | — | 2 | 1 | no | — |
| 121 | C22⋊D157 | — | 4 | 2 | no | — |
| 122 | C22⋊D157 | — | 8 | 1 | no | — |
| 123 | C2×Dic157 | — | 2 | 1 | no | — |
| 124 | C2×Dic157 | — | 2 | 1 | no | — |
| 125 | C2×Dic157 | — | 2 | 1 | no | — |
| 126 | C2×Dic157 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×Dic157 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C2×Dic157 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C2×Dic157 | C2×D4 | 1 | 1 | yes | characteristic |
| 130 | C4×D157 | — | 8 | 1 | no | — |
| 131 | #11929434 | — | 2 | 1 | no | — |
| 132 | #11929434 | — | 2 | 1 | no | — |
| 133 | C23×C157 | — | 2 | 1 | no | — |
| 134 | Q8×C157 | — | 2 | 1 | no | — |
| 135 | Q8×C157 | — | 2 | 1 | no | — |
| 136 | D4×C157 | — | 2 | 1 | no | — |
| 137 | D4×C157 | — | 2 | 1 | no | — |
| 138 | C2×C4×C157 | — | 2 | 1 | no | — |
| 139 | C2×C4×C157 | — | 2 | 1 | no | — |
| 140 | C2×C4×C157 | — | 2 | 1 | no | — |
| 141 | C2×C4×C157 | — | 8 | 1 | no | — |
| 142 | C2×C4×C157 | C2×D4 | 1 | 1 | yes | characteristic |
| 143 | C2×C4×C157 | C2×D4 | 1 | 1 | yes | characteristic |
| 144 | C2×C4×C157 | C24 | 1 | 1 | yes | characteristic |
| 145 | C8×C157 | — | 2 | 1 | no | — |
| 146 | C8×C157 | #41 | 1 | 2 | yes | — |
| 147 | C22×C157 | — | 4 | 1 | no | — |
| 148 | C22×C157 | — | 4 | 1 | no | — |
| 149 | C22×C157 | — | 4 | 1 | no | — |
| 150 | C22×C157 | C22×D4 | 1 | 1 | yes | characteristic |
| 151 | C2×D157 | — | 4 | 1 | no | — |
| 152 | C2×D157 | — | 4 | 1 | no | — |
| 153 | C2×D157 | — | 4 | 1 | no | — |
| 154 | C4×C157 | — | 2 | 1 | no | — |
| 155 | C4×C157 | — | 2 | 1 | no | — |
| 156 | C4×C157 | — | 4 | 1 | no | — |
| 157 | C4×C157 | — | 4 | 1 | no | — |
| 158 | C4×C157 | — | 4 | 1 | no | — |
| 159 | C4×C157 | C2×#41 | 1 | 1 | yes | characteristic |
| 160 | C4×C157 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 161 | Dic157 | — | 2 | 1 | no | — |
| 162 | Dic157 | — | 2 | 1 | no | — |
| 163 | Dic157 | — | 2 | 1 | no | — |
| 164 | Dic157 | — | 4 | 1 | no | — |
| 165 | Dic157 | — | 4 | 1 | no | — |
| 166 | Dic157 | — | 4 | 1 | no | — |
| 167 | Dic157 | #137 | 1 | 2 | yes | — |
| 168 | C2×C157 | — | 8 | 1 | no | — |
| 169 | C2×C157 | #550 | 1 | 1 | yes | characteristic |
| 170 | C2×C157 | C2×#137 | 1 | 1 | yes | characteristic |
| 171 | C2×C157 | #577 | 1 | 1 | yes | characteristic |
| 172 | D157 | — | 8 | 1 | no | — |
| 173 | C157 | #3400 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 174 | #3400 | — | 157 | 1 | no | maximal, Sylow |
| 175 | #559 | — | 157 | 1 | no | — |
| 176 | #557 | — | 157 | 1 | no | — |
| 177 | #497 | — | 157 | 1 | no | — |
| 178 | #497 | — | 157 | 1 | no | — |
| 179 | #492 | — | 157 | 1 | no | — |
| 180 | #464 | — | 157 | 1 | no | — |
| 181 | #464 | — | 157 | 1 | no | — |
| 182 | #462 | — | 157 | 1 | no | — |
| 183 | #461 | — | 157 | 1 | no | — |
| 184 | #461 | — | 157 | 1 | no | — |
| 185 | #460 | — | 157 | 1 | no | — |
| 186 | #446 | — | 157 | 1 | no | — |
| 187 | #440 | — | 157 | 1 | no | — |
| 188 | #440 | D157 | 1 | 1 | yes | characteristic, complemented |
| 189 | C4×Q16 | — | 157 | 1 | no | — |
| 190 | C2×Q16 | — | 157 | 1 | no | — |
| 191 | C2×Q16 | — | 157 | 1 | no | — |
| 192 | C2×Q16 | — | 157 | 1 | no | — |
| 193 | C2×SD16 | — | 157 | 1 | no | — |
| 194 | C2×SD16 | — | 157 | 1 | no | — |
| 195 | C2×SD16 | — | 157 | 1 | no | — |
| 196 | C2×SD16 | — | 157 | 1 | no | — |
| 197 | C2×SD16 | — | 157 | 1 | no | — |
| 198 | C2×SD16 | C2×D157 | 1 | 1 | yes | characteristic |
| 199 | C4⋊Q8 | — | 157 | 1 | no | — |
| 200 | C4⋊Q8 | — | 157 | 1 | no | — |
| 201 | C4⋊Q8 | — | 157 | 1 | no | — |
| 202 | #127 | — | 157 | 1 | no | — |
| 203 | #125 | — | 314 | 1 | no | — |
| 204 | #125 | — | 314 | 1 | no | — |
| 205 | #125 | — | 314 | 1 | no | — |
| 206 | #124 | — | 314 | 1 | no | — |
| 207 | #124 | — | 157 | 1 | no | — |
| 208 | #124 | — | 157 | 1 | no | — |
| 209 | #123 | — | 314 | 1 | no | — |
| 210 | #123 | — | 314 | 1 | no | — |
| 211 | C4×Q8 | — | 314 | 1 | no | — |
| 212 | C4×Q8 | — | 157 | 1 | no | — |
| 213 | C4×Q8 | — | 157 | 1 | no | — |
| 214 | C4×Q8 | — | 157 | 1 | no | — |
| 215 | C4×Q8 | — | 157 | 1 | no | — |
| 216 | C4×Q8 | C2×D157 | 1 | 1 | yes | characteristic |
| 217 | C4×D4 | — | 314 | 1 | no | — |
| 218 | C4×D4 | — | 157 | 1 | no | — |
| 219 | C4×D4 | C2×D157 | 1 | 1 | yes | characteristic |
| 220 | #107 | C2×D157 | 1 | 1 | yes | characteristic |
| 221 | C4⋊C8 | — | 157 | 1 | no | — |
| 222 | C4⋊C8 | — | 157 | 1 | no | — |
| 223 | C4⋊C8 | — | 157 | 1 | no | — |
| 224 | #103 | — | 157 | 1 | no | — |
| 225 | #103 | — | 157 | 1 | no | — |
| 226 | #103 | — | 157 | 1 | no | — |
| 227 | #103 | C2×D157 | 1 | 1 | yes | characteristic |
| 228 | #102 | — | 157 | 1 | no | — |
| 229 | #102 | C2×D157 | 1 | 1 | yes | characteristic |
| 230 | #97 | — | 157 | 1 | no | — |
| 231 | #97 | C2×D157 | 1 | 1 | yes | characteristic |
| 232 | C4×C8 | — | 157 | 1 | no | — |
| 233 | C2×Q8 | — | 157 | 1 | no | — |
| 234 | C2×Q8 | — | 157 | 1 | no | — |
| 235 | C2×Q8 | — | 157 | 1 | no | — |
| 236 | C2×Q8 | — | 157 | 1 | no | — |
| 237 | C2×Q8 | C22×D157 | 1 | 1 | yes | characteristic |
| 238 | C2×D4 | — | 314 | 1 | no | — |
| 239 | C2×D4 | — | 314 | 1 | no | — |
| 240 | C2×D4 | — | 157 | 1 | no | — |
| 241 | C2×D4 | C22×D157 | 1 | 1 | yes | characteristic |
| 242 | C22×C4 | — | 2 | 1 | no | — |
| 243 | C22×C4 | — | 314 | 1 | no | — |
| 244 | Q16 | — | 314 | 2 | no | — |
| 245 | Q16 | — | 628 | 1 | no | — |
| 246 | Q16 | — | 628 | 1 | no | — |
| 247 | SD16 | — | 2 | 2 | no | — |
| 248 | SD16 | — | 314 | 2 | no | — |
| 249 | SD16 | — | 628 | 1 | no | — |
| 250 | SD16 | — | 628 | 1 | no | — |
| 251 | SD16 | — | 628 | 1 | no | — |
| 252 | SD16 | — | 628 | 1 | no | — |
| 253 | C2×C8 | — | 157 | 1 | no | — |
| 254 | C2×C8 | — | 157 | 1 | no | — |
| 255 | C2×C8 | C22×D157 | 1 | 1 | yes | characteristic |
| 256 | C2×C8 | C22×D157 | 1 | 1 | yes | characteristic |
| 257 | C4⋊C4 | — | 2 | 1 | no | — |
| 258 | C4⋊C4 | — | 314 | 1 | no | — |
| 259 | C4⋊C4 | — | 314 | 1 | no | — |
| 260 | C4⋊C4 | — | 314 | 1 | no | — |
| 261 | C4⋊C4 | — | 314 | 1 | no | — |
| 262 | C4⋊C4 | — | 314 | 1 | no | — |
| 263 | C4⋊C4 | — | 314 | 1 | no | — |
| 264 | C4⋊C4 | — | 314 | 1 | no | — |
| 265 | C4⋊C4 | — | 314 | 1 | no | — |
| 266 | C4⋊C4 | — | 314 | 1 | no | — |
| 267 | C4⋊C4 | — | 157 | 1 | no | — |
| 268 | C4⋊C4 | — | 157 | 1 | no | — |
| 269 | C4⋊C4 | — | 157 | 1 | no | — |
| 270 | C4⋊C4 | C22×D157 | 1 | 1 | yes | characteristic |
| 271 | C4⋊C4 | C22×D157 | 1 | 1 | yes | characteristic |
| 272 | C22⋊C4 | — | 2 | 1 | no | — |
| 273 | C22⋊C4 | — | 314 | 1 | no | — |
| 274 | C22⋊C4 | — | 314 | 1 | no | — |
| 275 | C22⋊C4 | — | 314 | 1 | no | — |
| 276 | C22⋊C4 | — | 314 | 1 | no | — |
| 277 | C22⋊C4 | — | 314 | 1 | no | — |
| 278 | C42 | — | 2 | 1 | no | — |
| 279 | C42 | — | 314 | 1 | no | — |
| 280 | C42 | — | 314 | 1 | no | — |
| 281 | C42 | — | 314 | 1 | no | — |
| 282 | C42 | — | 157 | 1 | no | — |
| 283 | C42 | — | 157 | 1 | no | — |
| 284 | C42 | C22×D157 | 1 | 1 | yes | characteristic |
| 285 | C23 | — | 2 | 1 | no | — |
| 286 | C23 | — | 314 | 1 | no | — |
| 287 | Q8 | — | 2 | 1 | no | — |
| 288 | Q8 | — | 2 | 1 | no | — |
| 289 | Q8 | — | 314 | 2 | no | — |
| 290 | Q8 | — | 314 | 1 | no | — |
| 291 | Q8 | — | 314 | 1 | no | — |
| 292 | Q8 | — | 314 | 1 | no | — |
| 293 | Q8 | — | 314 | 1 | no | — |
| 294 | Q8 | — | 314 | 1 | no | — |
| 295 | Q8 | — | 314 | 1 | no | — |
| 296 | D4 | — | 2 | 1 | no | — |
| 297 | D4 | — | 2 | 1 | no | — |
| 298 | D4 | — | 314 | 1 | no | — |
| 299 | D4 | — | 314 | 1 | no | — |
| 300 | D4 | — | 628 | 2 | no | — |
| 301 | D4 | — | 1256 | 1 | no | — |
| 302 | C2×C4 | — | 2 | 1 | no | — |
| 303 | C2×C4 | — | 2 | 1 | no | — |
| 304 | C2×C4 | — | 2 | 1 | no | — |
| 305 | C2×C4 | — | 8 | 1 | no | — |
| 306 | C2×C4 | — | 314 | 1 | no | — |
| 307 | C2×C4 | — | 314 | 1 | no | — |
| 308 | C2×C4 | — | 314 | 1 | no | — |
| 309 | C2×C4 | — | 157 | 1 | no | — |
| 310 | C2×C4 | — | 157 | 1 | no | — |
| 311 | C2×C4 | — | 157 | 1 | no | — |
| 312 | C2×C4 | — | 157 | 1 | no | — |
| 313 | C2×C4 | — | 1256 | 1 | no | — |
| 314 | C2×C4 | D4×D157 | 1 | 1 | yes | characteristic |
| 315 | C2×C4 | D4×D157 | 1 | 1 | yes | characteristic |
| 316 | C2×C4 | C23×D157 | 1 | 1 | yes | characteristic |
| 317 | C8 | — | 2 | 1 | no | — |
| 318 | C8 | — | 314 | 1 | no | — |
| 319 | C8 | — | 314 | 1 | no | — |
| 320 | C8 | #14578954 | 1 | 2 | yes | — |
| 321 | C22 | — | 4 | 1 | no | — |
| 322 | C22 | — | 4 | 1 | no | — |
| 323 | C22 | — | 4 | 1 | no | — |
| 324 | C22 | — | 628 | 1 | no | — |
| 325 | C22 | — | 628 | 1 | no | — |
| 326 | C22 | — | 628 | 1 | no | — |
| 327 | C22 | C2×D4×D157 | 1 | 1 | yes | characteristic |
| 328 | C4 | — | 2 | 1 | no | — |
| 329 | C4 | — | 2 | 1 | no | — |
| 330 | C4 | — | 4 | 1 | no | — |
| 331 | C4 | — | 4 | 1 | no | — |
| 332 | C4 | — | 4 | 1 | no | — |
| 333 | C4 | — | 314 | 1 | no | — |
| 334 | C4 | — | 314 | 1 | no | — |
| 335 | C4 | — | 314 | 1 | no | — |
| 336 | C4 | — | 628 | 1 | no | — |
| 337 | C4 | — | 628 | 1 | no | — |
| 338 | C4 | — | 628 | 1 | no | — |
| 339 | C4 | — | 157 | 2 | no | — |
| 340 | C4 | C2×#14578954 | 1 | 1 | yes | characteristic |
| 341 | C4 | #19097817 | 1 | 1 | yes | characteristic |
| 342 | C2 | — | 8 | 1 | no | — |
| 343 | C2 | — | 1256 | 1 | no | — |
| 344 | C2 | #23757944 | 1 | 1 | yes | characteristic |
| 345 | C2 | #137×D157 | 1 | 1 | yes | characteristic |
| 346 | C2 | #23758083 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta