| 1 | #92101 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #92000 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×#951 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#4096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #91522 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #91511 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #91497 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #91488 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C2×#6663 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #91313 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #91290 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #66113 | — | 3 | 1 | no | maximal, Hall |
| 13 | C3×C5×#41 | C22 | 1 | 1 | yes | characteristic |
| 14 | Q8×D15 | C22 | 1 | 2 | yes | — |
| 15 | #6819 | — | 2 | 2 | no | — |
| 16 | #6819 | C22 | 1 | 2 | yes | — |
| 17 | #6817 | — | 2 | 1 | no | — |
| 18 | #6817 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×Dic30 | — | 2 | 1 | no | — |
| 20 | C2×Dic30 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C5×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 22 | C3×#709 | C22 | 1 | 1 | yes | characteristic |
| 23 | #6779 | — | 2 | 2 | no | — |
| 24 | #6773 | — | 2 | 1 | no | — |
| 25 | D15⋊Q8 | C22 | 1 | 2 | yes | — |
| 26 | #6766 | C22 | 1 | 2 | yes | — |
| 27 | D5×Dic6 | — | 2 | 1 | no | — |
| 28 | C5×#216 | C22 | 1 | 2 | yes | — |
| 29 | C5×#214 | C22 | 1 | 2 | yes | — |
| 30 | C5×#208 | C22 | 1 | 1 | yes | characteristic |
| 31 | C3×#689 | C22 | 1 | 1 | yes | characteristic |
| 32 | C3×#688 | C22 | 1 | 1 | yes | characteristic |
| 33 | C3×#687 | C22 | 1 | 1 | yes | characteristic |
| 34 | C3×#686 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×C3×#168 | C22 | 1 | 1 | yes | characteristic |
| 36 | #6663 | C22 | 1 | 2 | yes | — |
| 37 | #6663 | C22 | 1 | 2 | yes | — |
| 38 | #6662 | C22 | 1 | 2 | yes | — |
| 39 | #6657 | C22 | 1 | 2 | yes | — |
| 40 | #6651 | C22 | 1 | 2 | yes | — |
| 41 | #6648 | C22 | 1 | 2 | yes | — |
| 42 | #5771 | — | 5 | 1 | no | maximal, Hall |
| 43 | #4150 | — | 3 | 1 | no | — |
| 44 | #4147 | — | 3 | 1 | no | — |
| 45 | C5×#137 | — | 3 | 1 | no | — |
| 46 | #4096 | D3 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×#689 | — | 3 | 1 | no | — |
| 48 | #4064 | — | 3 | 2 | no | — |
| 49 | D5×Q16 | — | 3 | 2 | no | — |
| 50 | #4062 | — | 3 | 2 | no | — |
| 51 | #4061 | — | 3 | 2 | no | — |
| 52 | #4055 | — | 3 | 1 | no | — |
| 53 | #4053 | — | 3 | 1 | no | — |
| 54 | C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 55 | C3×C5×D4 | — | 2 | 1 | no | — |
| 56 | C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 58 | C2×C3×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 59 | #1220 | — | 2 | 2 | no | — |
| 60 | #1220 | D4 | 1 | 2 | yes | — |
| 61 | C2×Dic15 | — | 2 | 1 | no | — |
| 62 | C2×Dic15 | — | 2 | 2 | no | — |
| 63 | D60 | D4 | 1 | 1 | yes | characteristic |
| 64 | C4×D15 | — | 2 | 2 | no | — |
| 65 | C4×D15 | C23 | 1 | 2 | yes | — |
| 66 | Dic30 | — | 2 | 1 | no | — |
| 67 | Dic30 | — | 2 | 2 | no | — |
| 68 | Dic30 | D4 | 1 | 1 | yes | characteristic |
| 69 | Dic30 | C23 | 1 | 2 | yes | — |
| 70 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 71 | C5×Dic6 | — | 2 | 1 | no | — |
| 72 | C5×Dic6 | C23 | 1 | 2 | yes | — |
| 73 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 74 | C3×D20 | C23 | 1 | 1 | yes | characteristic |
| 75 | C3×C4×D5 | — | 2 | 1 | no | — |
| 76 | C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 77 | #1204 | — | 2 | 2 | no | — |
| 78 | #1202 | — | 2 | 2 | no | — |
| 79 | #1200 | — | 2 | 2 | no | — |
| 80 | D5×Dic3 | — | 2 | 2 | no | — |
| 81 | C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 82 | C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 83 | C5×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 84 | #1010 | — | 5 | 1 | no | — |
| 85 | #1010 | — | 5 | 1 | no | — |
| 86 | C3×#135 | — | 5 | 1 | no | — |
| 87 | #951 | — | 5 | 1 | no | — |
| 88 | #951 | D5 | 1 | 1 | yes | characteristic, complemented |
| 89 | D3×Q16 | — | 5 | 2 | no | — |
| 90 | #915 | — | 5 | 2 | no | — |
| 91 | #915 | — | 5 | 2 | no | — |
| 92 | #912 | — | 5 | 2 | no | — |
| 93 | C2×Dic12 | — | 5 | 1 | no | — |
| 94 | #901 | — | 5 | 1 | no | — |
| 95 | C5×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 96 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 97 | #713 | — | 3 | 2 | no | — |
| 98 | #713 | — | 6 | 1 | no | — |
| 99 | Q8×D5 | — | 3 | 2 | no | — |
| 100 | Q8×D5 | — | 3 | 2 | no | — |
| 101 | Q8×D5 | — | 6 | 1 | no | — |
| 102 | #711 | — | 3 | 2 | no | — |
| 103 | #711 | — | 6 | 2 | no | — |
| 104 | #709 | — | 3 | 1 | no | — |
| 105 | #709 | — | 6 | 1 | no | — |
| 106 | #709 | — | 6 | 2 | no | — |
| 107 | #709 | C2×D3 | 1 | 1 | yes | characteristic |
| 108 | C2×Dic10 | — | 3 | 1 | no | — |
| 109 | C2×Dic10 | — | 6 | 1 | no | — |
| 110 | C5×Q16 | — | 3 | 2 | no | — |
| 111 | C5×SD16 | — | 3 | 2 | no | — |
| 112 | C5×M16 | — | 3 | 1 | no | — |
| 113 | #689 | — | 3 | 2 | no | — |
| 114 | #689 | — | 3 | 2 | no | — |
| 115 | #689 | C2×D3 | 1 | 1 | yes | characteristic |
| 116 | #688 | C2×D3 | 1 | 1 | yes | characteristic |
| 117 | #687 | C2×D3 | 1 | 1 | yes | characteristic |
| 118 | #686 | C2×D3 | 1 | 1 | yes | characteristic |
| 119 | C2×#168 | C2×D3 | 1 | 1 | yes | characteristic |
| 120 | Dic20 | — | 3 | 2 | no | — |
| 121 | #677 | — | 3 | 2 | no | — |
| 122 | #676 | — | 3 | 2 | no | — |
| 123 | C8×D5 | — | 3 | 2 | no | — |
| 124 | #578 | — | 15 | 1 | no | Sylow |
| 125 | C22×C3×C5 | — | 2 | 1 | no | — |
| 126 | C22×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×D15 | C2×D4 | 1 | 2 | yes | — |
| 128 | C2×C3×D5 | — | 2 | 1 | no | — |
| 129 | C3×C4×C5 | — | 2 | 1 | no | — |
| 130 | C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 132 | Dic15 | — | 2 | 2 | no | — |
| 133 | Dic15 | C2×D4 | 1 | 2 | yes | — |
| 134 | C3×Dic5 | — | 2 | 1 | no | — |
| 135 | C5×Dic3 | — | 2 | 2 | no | — |
| 136 | C3×#41 | — | 5 | 1 | no | — |
| 137 | C3×#41 | C2×D5 | 1 | 1 | yes | characteristic |
| 138 | D3×Q8 | — | 5 | 2 | no | — |
| 139 | D3×Q8 | — | 5 | 2 | no | — |
| 140 | #237 | — | 5 | 2 | no | — |
| 141 | #237 | — | 5 | 2 | no | — |
| 142 | #237 | — | 10 | 2 | no | — |
| 143 | #237 | — | 10 | 2 | no | — |
| 144 | #235 | — | 5 | 1 | no | — |
| 145 | #235 | — | 10 | 1 | no | — |
| 146 | #235 | — | 10 | 1 | no | — |
| 147 | C2×Dic6 | — | 5 | 1 | no | — |
| 148 | C2×Dic6 | — | 10 | 1 | no | — |
| 149 | C2×Dic6 | — | 10 | 1 | no | — |
| 150 | C2×Dic6 | C2×D5 | 1 | 1 | yes | characteristic |
| 151 | C3×Q16 | — | 5 | 1 | no | — |
| 152 | C3×SD16 | — | 5 | 1 | no | — |
| 153 | C3×SD16 | — | 5 | 1 | no | — |
| 154 | C3×D8 | — | 5 | 1 | no | — |
| 155 | C2×C3×C8 | — | 5 | 1 | no | — |
| 156 | #216 | — | 5 | 2 | no | — |
| 157 | #216 | C2×D5 | 1 | 2 | yes | — |
| 158 | #214 | — | 5 | 2 | no | — |
| 159 | #214 | C2×D5 | 1 | 2 | yes | — |
| 160 | #208 | C2×D5 | 1 | 1 | yes | characteristic |
| 161 | Dic12 | — | 5 | 2 | no | — |
| 162 | Dic12 | — | 5 | 2 | no | — |
| 163 | ΓL(1,𝔽25) | — | 5 | 2 | no | — |
| 164 | D3×C8 | — | 5 | 2 | no | — |
| 165 | C5×Q8 | — | 3 | 2 | no | — |
| 166 | C5×Q8 | — | 6 | 1 | no | — |
| 167 | C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 168 | C5×D4 | — | 2 | 1 | no | — |
| 169 | C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 170 | C2×C4×C5 | — | 2 | 1 | no | — |
| 171 | C2×C4×C5 | — | 6 | 1 | no | — |
| 172 | C2×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 173 | C22⋊D5 | — | 2 | 1 | no | — |
| 174 | C22⋊D5 | — | 3 | 2 | no | — |
| 175 | C22⋊D5 | — | 6 | 2 | no | — |
| 176 | C2×Dic5 | — | 6 | 2 | no | — |
| 177 | C2×Dic5 | — | 6 | 1 | no | — |
| 178 | D20 | — | 3 | 1 | no | — |
| 179 | D20 | — | 6 | 2 | no | — |
| 180 | D20 | C22×D3 | 1 | 1 | yes | characteristic |
| 181 | C4×D5 | — | 2 | 1 | no | — |
| 182 | C4×D5 | — | 3 | 2 | no | — |
| 183 | C4×D5 | — | 6 | 2 | no | — |
| 184 | C4×D5 | — | 6 | 2 | no | — |
| 185 | C4×D5 | — | 6 | 2 | no | — |
| 186 | Dic10 | — | 3 | 1 | no | — |
| 187 | Dic10 | — | 3 | 2 | no | — |
| 188 | Dic10 | — | 6 | 2 | no | — |
| 189 | Dic10 | — | 6 | 2 | no | — |
| 190 | Dic10 | — | 6 | 1 | no | — |
| 191 | Dic10 | C22×D3 | 1 | 1 | yes | characteristic |
| 192 | C5×C8 | — | 3 | 2 | no | — |
| 193 | #168 | C22×D3 | 1 | 1 | yes | characteristic |
| 194 | #168 | C22×D3 | 1 | 1 | yes | characteristic |
| 195 | 2−1+4 | — | 15 | 1 | no | — |
| 196 | 2−1+4 | — | 15 | 1 | no | — |
| 197 | #137 | — | 3 | 1 | no | — |
| 198 | #137 | — | 15 | 1 | no | — |
| 199 | #137 | — | 15 | 2 | no | — |
| 200 | #137 | — | 15 | 2 | no | — |
| 201 | #135 | — | 5 | 1 | no | — |
| 202 | #135 | — | 15 | 2 | no | — |
| 203 | C2×Q16 | — | 15 | 1 | no | — |
| 204 | C2×Q16 | — | 15 | 2 | no | — |
| 205 | #131 | — | 15 | 1 | no | — |
| 206 | C2×C3×C5 | — | 2 | 1 | no | — |
| 207 | C2×C3×C5 | — | 4 | 1 | no | — |
| 208 | C2×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 209 | D15 | — | 2 | 2 | no | — |
| 210 | C3×D5 | — | 4 | 1 | no | — |
| 211 | C3×Q8 | — | 5 | 1 | no | — |
| 212 | C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 213 | C3×D4 | — | 2 | 1 | no | — |
| 214 | C3×D4 | — | 5 | 1 | no | — |
| 215 | C3×D4 | — | 10 | 1 | no | — |
| 216 | C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 217 | C2×C3×C4 | — | 2 | 1 | no | — |
| 218 | C2×C3×C4 | — | 10 | 1 | no | — |
| 219 | C2×C3×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 220 | #67 | — | 5 | 2 | no | — |
| 221 | #67 | — | 10 | 2 | no | — |
| 222 | #67 | — | 10 | 2 | no | — |
| 223 | C2×Dic3 | — | 2 | 1 | no | — |
| 224 | C2×Dic3 | — | 10 | 2 | no | — |
| 225 | C2×Dic3 | — | 10 | 2 | no | — |
| 226 | C2×Dic3 | — | 10 | 1 | no | — |
| 227 | D12 | — | 5 | 1 | no | — |
| 228 | C4×D3 | — | 5 | 2 | no | — |
| 229 | C4×D3 | — | 10 | 2 | no | — |
| 230 | C4×D3 | — | 10 | 2 | no | — |
| 231 | Dic6 | — | 2 | 1 | no | — |
| 232 | Dic6 | — | 5 | 1 | no | — |
| 233 | Dic6 | — | 5 | 2 | no | — |
| 234 | Dic6 | — | 10 | 2 | no | — |
| 235 | Dic6 | — | 10 | 2 | no | — |
| 236 | Dic6 | — | 10 | 1 | no | — |
| 237 | Dic6 | C22×D5 | 1 | 2 | yes | — |
| 238 | C3×C8 | — | 5 | 1 | no | — |
| 239 | C3×C8 | — | 5 | 1 | no | — |
| 240 | C3⋊C8 | C22×D5 | 1 | 2 | yes | — |
| 241 | C22×C5 | — | 2 | 1 | no | — |
| 242 | C22×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×D5 | — | 2 | 1 | no | — |
| 244 | C2×D5 | — | 3 | 2 | no | — |
| 245 | C4×C5 | — | 2 | 1 | no | — |
| 246 | C4×C5 | — | 6 | 2 | no | — |
| 247 | C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 248 | C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 249 | Dic5 | — | 2 | 1 | no | — |
| 250 | Dic5 | — | 3 | 2 | no | — |
| 251 | Dic5 | — | 6 | 2 | no | — |
| 252 | #41 | — | 5 | 1 | no | — |
| 253 | #41 | — | 15 | 1 | no | — |
| 254 | #41 | — | 15 | 2 | no | — |
| 255 | #41 | — | 15 | 2 | no | — |
| 256 | #41 | — | 30 | 1 | no | — |
| 257 | #41 | — | 30 | 2 | no | — |
| 258 | #41 | — | 30 | 1 | no | — |
| 259 | #41 | — | 30 | 2 | no | — |
| 260 | #41 | D3×D5 | 1 | 1 | yes | characteristic |
| 261 | C2×Q8 | — | 3 | 1 | no | — |
| 262 | C2×Q8 | — | 15 | 2 | no | — |
| 263 | C2×Q8 | — | 15 | 2 | no | — |
| 264 | C2×Q8 | — | 15 | 1 | no | — |
| 265 | C2×Q8 | — | 30 | 1 | no | — |
| 266 | C2×Q8 | — | 30 | 1 | no | — |
| 267 | Q16 | — | 3 | 2 | no | — |
| 268 | Q16 | — | 5 | 1 | no | — |
| 269 | Q16 | — | 15 | 2 | no | — |
| 270 | Q16 | — | 15 | 2 | no | — |
| 271 | Q16 | — | 15 | 2 | no | — |
| 272 | SD16 | — | 3 | 2 | no | — |
| 273 | SD16 | — | 5 | 1 | no | — |
| 274 | SD16 | — | 5 | 1 | no | — |
| 275 | SD16 | — | 15 | 2 | no | — |
| 276 | D8 | — | 5 | 1 | no | — |
| 277 | M16 | — | 3 | 1 | no | — |
| 278 | M16 | — | 15 | 2 | no | — |
| 279 | C2×C8 | — | 5 | 1 | no | — |
| 280 | C2×C8 | — | 15 | 2 | no | — |
| 281 | C3×C5 | #578 | 1 | 1 | yes | characteristic, complemented, Hall |
| 282 | C22×C3 | — | 2 | 1 | no | — |
| 283 | C22×C3 | — | 10 | 1 | no | — |
| 284 | C22×C3 | D4×D5 | 1 | 1 | yes | characteristic |
| 285 | C2×D3 | — | 5 | 2 | no | — |
| 286 | C3×C4 | — | 2 | 1 | no | — |
| 287 | C3×C4 | — | 10 | 1 | no | — |
| 288 | C3×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 289 | C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 290 | Dic3 | — | 2 | 2 | no | — |
| 291 | Dic3 | — | 5 | 2 | no | — |
| 292 | Dic3 | — | 10 | 2 | no | — |
| 293 | C2×C5 | — | 2 | 1 | no | — |
| 294 | C2×C5 | — | 4 | 1 | no | — |
| 295 | C2×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 296 | D5 | — | 4 | 1 | no | — |
| 297 | D5 | — | 6 | 2 | no | — |
| 298 | Q8 | — | 3 | 2 | no | — |
| 299 | Q8 | — | 5 | 1 | no | — |
| 300 | Q8 | — | 6 | 1 | no | — |
| 301 | Q8 | — | 15 | 1 | no | — |
| 302 | Q8 | — | 15 | 2 | no | — |
| 303 | Q8 | — | 30 | 2 | no | — |
| 304 | Q8 | — | 30 | 2 | no | — |
| 305 | Q8 | — | 30 | 1 | no | — |
| 306 | Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 307 | D4 | — | 2 | 1 | no | — |
| 308 | D4 | — | 5 | 1 | no | — |
| 309 | D4 | — | 10 | 1 | no | — |
| 310 | D4 | — | 15 | 2 | no | — |
| 311 | D4 | — | 15 | 1 | no | — |
| 312 | D4 | — | 30 | 2 | no | — |
| 313 | D4 | — | 30 | 2 | no | — |
| 314 | D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 315 | C2×C4 | — | 2 | 1 | no | — |
| 316 | C2×C4 | — | 6 | 1 | no | — |
| 317 | C2×C4 | — | 10 | 1 | no | — |
| 318 | C2×C4 | — | 15 | 2 | no | — |
| 319 | C2×C4 | — | 30 | 2 | no | — |
| 320 | C2×C4 | — | 30 | 2 | no | — |
| 321 | C2×C4 | — | 30 | 2 | no | — |
| 322 | C2×C4 | — | 30 | 2 | no | — |
| 323 | C2×C4 | — | 30 | 1 | no | — |
| 324 | C2×C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 325 | C8 | — | 3 | 2 | no | — |
| 326 | C8 | — | 5 | 1 | no | — |
| 327 | C8 | — | 5 | 1 | no | — |
| 328 | C2×C3 | — | 2 | 1 | no | — |
| 329 | C2×C3 | — | 4 | 1 | no | — |
| 330 | C2×C3 | — | 20 | 1 | no | — |
| 331 | C2×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 332 | D3 | — | 10 | 2 | no | — |
| 333 | C5 | #5771 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 334 | C22 | — | 2 | 1 | no | — |
| 335 | C22 | — | 10 | 1 | no | — |
| 336 | C22 | — | 15 | 2 | no | — |
| 337 | C22 | #6790 | 1 | 1 | yes | characteristic |
| 338 | C4 | — | 2 | 1 | no | — |
| 339 | C4 | — | 6 | 2 | no | — |
| 340 | C4 | — | 10 | 1 | no | — |
| 341 | C4 | — | 15 | 2 | no | — |
| 342 | C4 | — | 30 | 2 | no | — |
| 343 | C4 | #6790 | 1 | 1 | yes | characteristic |
| 344 | C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 345 | C3 | #66113 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 346 | C2 | — | 2 | 1 | no | — |
| 347 | C2 | — | 4 | 1 | no | — |
| 348 | C2 | — | 20 | 1 | no | — |
| 349 | C2 | — | 30 | 2 | no | — |
| 350 | C2 | C2×#6790 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta