| 1 | C25×#123 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11716499 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | D4×Dic25 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#87720 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11716488 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11716460 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11716460 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11716459 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11716454 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11716448 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11716447 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11716445 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11716443 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C22⋊C4×D25 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11716440 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C23×D25 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×D4×C25 | C22 | 1 | 1 | yes | characteristic |
| 18 | C22×C4×C25 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C22⋊D25 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C22⋊D25 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×Dic25 | C22 | 1 | 1 | yes | characteristic |
| 22 | C22×Dic25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×C4×D25 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C4×D25 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×Dic50 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C4⋊C4×C25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C4⋊C4×C25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C22⋊C4×C25 | C22 | 1 | 1 | yes | characteristic |
| 29 | C22⋊C4×C25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C22⋊C4×C25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C22⋊Dic25 | C22 | 1 | 1 | yes | characteristic |
| 32 | C22⋊Dic25 | C22 | 1 | 1 | yes | characteristic |
| 33 | C22⋊Dic25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #87720 | C22 | 1 | 1 | yes | characteristic |
| 35 | #87720 | C22 | 1 | 1 | yes | characteristic |
| 36 | #87720 | C22 | 1 | 1 | yes | characteristic |
| 37 | #87720 | C22 | 1 | 1 | yes | characteristic |
| 38 | #87720 | C22 | 1 | 1 | yes | characteristic |
| 39 | #87720 | C22 | 1 | 1 | yes | characteristic |
| 40 | #87720 | C22 | 1 | 1 | yes | characteristic |
| 41 | #87720 | C22 | 1 | 1 | yes | characteristic |
| 42 | C4⋊Dic25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C4⋊Dic25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C4⋊Dic25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C4⋊Dic25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #87718 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #87718 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C4×Dic25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C4×Dic25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C4×Dic25 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #65992 | — | 5 | 1 | no | maximal |
| 52 | C23×C25 | C23 | 1 | 1 | yes | characteristic |
| 53 | C23×C25 | C23 | 1 | 1 | yes | characteristic |
| 54 | C22×D25 | — | 2 | 2 | no | — |
| 55 | C22×D25 | — | 2 | 2 | no | — |
| 56 | C22×D25 | — | 4 | 1 | no | — |
| 57 | C22×D25 | C23 | 1 | 1 | yes | characteristic |
| 58 | C22×D25 | C23 | 1 | 1 | yes | characteristic |
| 59 | D4×C25 | — | 2 | 2 | no | — |
| 60 | C2×C4×C25 | — | 2 | 2 | no | — |
| 61 | C2×C4×C25 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×C4×C25 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×C4×C25 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×C4×C25 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×C4×C25 | C23 | 1 | 1 | yes | characteristic |
| 66 | C22⋊D25 | — | 2 | 2 | no | — |
| 67 | C22⋊D25 | — | 4 | 1 | no | — |
| 68 | C2×Dic25 | — | 4 | 1 | no | — |
| 69 | C2×Dic25 | — | 4 | 1 | no | — |
| 70 | C2×Dic25 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×Dic25 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×Dic25 | C23 | 1 | 1 | yes | characteristic |
| 73 | C2×Dic25 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×Dic25 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×Dic25 | C23 | 1 | 1 | yes | characteristic |
| 76 | C4×D25 | — | 2 | 2 | no | — |
| 77 | C4×D25 | — | 4 | 1 | no | — |
| 78 | Dic50 | — | 4 | 1 | no | — |
| 79 | C5×#123 | D5 | 1 | 1 | yes | characteristic |
| 80 | #4083 | — | 5 | 1 | no | — |
| 81 | D4×Dic5 | — | 5 | 1 | no | — |
| 82 | C2×#685 | — | 5 | 1 | no | — |
| 83 | #4072 | — | 5 | 1 | no | — |
| 84 | #4044 | — | 5 | 1 | no | — |
| 85 | #4044 | — | 5 | 1 | no | — |
| 86 | #4043 | — | 5 | 1 | no | — |
| 87 | #4038 | — | 5 | 1 | no | — |
| 88 | #4032 | — | 5 | 1 | no | — |
| 89 | #4031 | — | 5 | 1 | no | — |
| 90 | #4029 | — | 5 | 1 | no | — |
| 91 | #4027 | — | 5 | 1 | no | — |
| 92 | D5×C22⋊C4 | — | 5 | 1 | no | — |
| 93 | #4024 | — | 5 | 1 | no | — |
| 94 | C22×C25 | — | 2 | 1 | no | — |
| 95 | C22×C25 | — | 2 | 1 | no | — |
| 96 | C22×C25 | — | 2 | 1 | no | — |
| 97 | C22×C25 | — | 2 | 1 | no | — |
| 98 | C22×C25 | — | 2 | 1 | no | — |
| 99 | C22×C25 | #41 | 1 | 2 | yes | — |
| 100 | C22×C25 | C24 | 1 | 1 | yes | characteristic |
| 101 | C2×D25 | — | 2 | 1 | no | — |
| 102 | C2×D25 | — | 2 | 1 | no | — |
| 103 | C2×D25 | — | 2 | 1 | no | — |
| 104 | C2×D25 | — | 2 | 1 | no | — |
| 105 | C2×D25 | — | 2 | 1 | no | — |
| 106 | C2×D25 | — | 4 | 4 | no | — |
| 107 | C2×D25 | #41 | 1 | 2 | yes | — |
| 108 | C4×C25 | — | 2 | 1 | no | — |
| 109 | C4×C25 | — | 2 | 1 | no | — |
| 110 | C4×C25 | — | 2 | 1 | no | — |
| 111 | C4×C25 | — | 2 | 1 | no | — |
| 112 | C4×C25 | — | 2 | 1 | no | — |
| 113 | Dic25 | — | 2 | 1 | no | — |
| 114 | Dic25 | — | 2 | 1 | no | — |
| 115 | Dic25 | — | 2 | 1 | no | — |
| 116 | Dic25 | — | 2 | 1 | no | — |
| 117 | Dic25 | — | 2 | 1 | no | — |
| 118 | Dic25 | — | 2 | 1 | no | — |
| 119 | C23×D5 | — | 5 | 1 | no | — |
| 120 | C2×C5×D4 | C2×D5 | 1 | 1 | yes | characteristic |
| 121 | C22×C4×C5 | C2×D5 | 1 | 1 | yes | characteristic |
| 122 | C2×C22⋊D5 | — | 5 | 1 | no | — |
| 123 | C2×C22⋊D5 | — | 5 | 1 | no | — |
| 124 | C22×Dic5 | — | 5 | 1 | no | — |
| 125 | C22×Dic5 | — | 5 | 1 | no | — |
| 126 | C2×C4×D5 | — | 5 | 1 | no | — |
| 127 | C2×C4×D5 | — | 5 | 1 | no | — |
| 128 | C2×Dic10 | — | 5 | 1 | no | — |
| 129 | C5×C4⋊C4 | C2×D5 | 1 | 1 | yes | characteristic |
| 130 | C5×C4⋊C4 | C2×D5 | 1 | 1 | yes | characteristic |
| 131 | C5×C22⋊C4 | C2×D5 | 1 | 1 | yes | characteristic |
| 132 | C5×C22⋊C4 | C2×D5 | 1 | 1 | yes | characteristic |
| 133 | C5×C22⋊C4 | C2×D5 | 1 | 1 | yes | characteristic |
| 134 | C22⋊Dic5 | — | 5 | 1 | no | — |
| 135 | C22⋊Dic5 | — | 5 | 1 | no | — |
| 136 | C22⋊Dic5 | — | 5 | 1 | no | — |
| 137 | #685 | — | 5 | 1 | no | — |
| 138 | #685 | — | 5 | 1 | no | — |
| 139 | #685 | — | 5 | 1 | no | — |
| 140 | #685 | — | 5 | 1 | no | — |
| 141 | #685 | — | 5 | 1 | no | — |
| 142 | #685 | — | 5 | 1 | no | — |
| 143 | #685 | — | 5 | 1 | no | — |
| 144 | #685 | — | 5 | 1 | no | — |
| 145 | C4⋊Dic5 | — | 5 | 1 | no | — |
| 146 | C4⋊Dic5 | — | 5 | 1 | no | — |
| 147 | C4⋊Dic5 | — | 5 | 1 | no | — |
| 148 | C4⋊Dic5 | — | 5 | 1 | no | — |
| 149 | #683 | — | 5 | 1 | no | — |
| 150 | #683 | — | 5 | 1 | no | — |
| 151 | C4×Dic5 | — | 5 | 1 | no | — |
| 152 | C4×Dic5 | — | 5 | 1 | no | — |
| 153 | C4×Dic5 | — | 5 | 1 | no | — |
| 154 | #551 | — | 25 | 1 | no | Sylow |
| 155 | C2×C25 | — | 2 | 2 | no | — |
| 156 | C2×C25 | — | 4 | 1 | no | — |
| 157 | C2×C25 | C2×#41 | 1 | 1 | yes | characteristic |
| 158 | C2×C25 | C2×#41 | 1 | 1 | yes | characteristic |
| 159 | C2×C25 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 160 | D25 | — | 2 | 2 | no | — |
| 161 | D25 | — | 4 | 1 | no | — |
| 162 | C23×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 163 | C23×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 164 | C22×D5 | — | 5 | 1 | no | — |
| 165 | C22×D5 | — | 5 | 1 | no | — |
| 166 | C22×D5 | — | 10 | 2 | no | — |
| 167 | C22×D5 | — | 10 | 2 | no | — |
| 168 | C22×D5 | — | 20 | 1 | no | — |
| 169 | C5×D4 | — | 2 | 2 | no | — |
| 170 | C2×C4×C5 | — | 2 | 2 | no | — |
| 171 | C2×C4×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 172 | C2×C4×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 173 | C2×C4×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 174 | C2×C4×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 175 | C2×C4×C5 | C22×D5 | 1 | 1 | yes | characteristic |
| 176 | C22⋊D5 | — | 10 | 2 | no | — |
| 177 | C22⋊D5 | — | 20 | 1 | no | — |
| 178 | C2×Dic5 | — | 5 | 1 | no | — |
| 179 | C2×Dic5 | — | 5 | 1 | no | — |
| 180 | C2×Dic5 | — | 5 | 1 | no | — |
| 181 | C2×Dic5 | — | 5 | 1 | no | — |
| 182 | C2×Dic5 | — | 5 | 1 | no | — |
| 183 | C2×Dic5 | — | 5 | 1 | no | — |
| 184 | C2×Dic5 | — | 20 | 1 | no | — |
| 185 | C2×Dic5 | — | 20 | 1 | no | — |
| 186 | C4×D5 | — | 10 | 2 | no | — |
| 187 | C4×D5 | — | 20 | 1 | no | — |
| 188 | Dic10 | — | 20 | 1 | no | — |
| 189 | #126 | — | 25 | 1 | no | — |
| 190 | #126 | — | 25 | 1 | no | — |
| 191 | #124 | — | 25 | 1 | no | — |
| 192 | #123 | — | 25 | 1 | no | — |
| 193 | #123 | — | 25 | 1 | no | — |
| 194 | #123 | D25 | 1 | 1 | yes | characteristic, complemented |
| 195 | C22⋊Q8 | — | 25 | 1 | no | — |
| 196 | C22⋊Q8 | — | 25 | 1 | no | — |
| 197 | #120 | — | 25 | 1 | no | — |
| 198 | C4×D4 | — | 25 | 1 | no | — |
| 199 | C4×D4 | — | 25 | 1 | no | — |
| 200 | #117 | — | 25 | 1 | no | — |
| 201 | #117 | — | 25 | 1 | no | — |
| 202 | C2×C22⋊C4 | — | 25 | 1 | no | — |
| 203 | C2×C22⋊C4 | — | 25 | 1 | no | — |
| 204 | C25 | #551 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 205 | C22×C5 | — | 2 | 1 | no | — |
| 206 | C22×C5 | — | 2 | 1 | no | — |
| 207 | C22×C5 | — | 2 | 1 | no | — |
| 208 | C22×C5 | — | 2 | 1 | no | — |
| 209 | C22×C5 | — | 2 | 1 | no | — |
| 210 | C22×C5 | #711 | 1 | 2 | yes | — |
| 211 | C22×C5 | C23×D5 | 1 | 1 | yes | characteristic |
| 212 | C2×D5 | — | 5 | 2 | no | — |
| 213 | C2×D5 | — | 10 | 1 | no | — |
| 214 | C2×D5 | — | 10 | 1 | no | — |
| 215 | C2×D5 | — | 10 | 1 | no | — |
| 216 | C2×D5 | — | 10 | 1 | no | — |
| 217 | C2×D5 | — | 10 | 1 | no | — |
| 218 | C2×D5 | — | 20 | 4 | no | — |
| 219 | C4×C5 | — | 2 | 1 | no | — |
| 220 | C4×C5 | — | 2 | 1 | no | — |
| 221 | C4×C5 | — | 2 | 1 | no | — |
| 222 | C4×C5 | — | 2 | 1 | no | — |
| 223 | C4×C5 | — | 2 | 1 | no | — |
| 224 | Dic5 | — | 10 | 1 | no | — |
| 225 | Dic5 | — | 10 | 1 | no | — |
| 226 | Dic5 | — | 10 | 1 | no | — |
| 227 | Dic5 | — | 10 | 1 | no | — |
| 228 | Dic5 | — | 10 | 1 | no | — |
| 229 | Dic5 | — | 10 | 1 | no | — |
| 230 | C24 | — | 25 | 1 | no | — |
| 231 | C2×Q8 | — | 25 | 1 | no | — |
| 232 | C2×D4 | — | 25 | 1 | no | — |
| 233 | C2×D4 | — | 25 | 1 | no | — |
| 234 | C2×D4 | C2×D25 | 1 | 1 | yes | characteristic |
| 235 | C22×C4 | — | 25 | 1 | no | — |
| 236 | C22×C4 | — | 25 | 1 | no | — |
| 237 | C22×C4 | — | 25 | 1 | no | — |
| 238 | C22×C4 | — | 25 | 1 | no | — |
| 239 | C22×C4 | C2×D25 | 1 | 1 | yes | characteristic |
| 240 | C4⋊C4 | — | 25 | 1 | no | — |
| 241 | C4⋊C4 | — | 25 | 1 | no | — |
| 242 | C4⋊C4 | — | 25 | 1 | no | — |
| 243 | C4⋊C4 | — | 25 | 1 | no | — |
| 244 | C4⋊C4 | — | 25 | 1 | no | — |
| 245 | C4⋊C4 | — | 25 | 1 | no | — |
| 246 | C4⋊C4 | C2×D25 | 1 | 1 | yes | characteristic, complemented |
| 247 | C4⋊C4 | C2×D25 | 1 | 1 | yes | characteristic, complemented |
| 248 | C22⋊C4 | — | 25 | 1 | no | — |
| 249 | C22⋊C4 | — | 25 | 1 | no | — |
| 250 | C22⋊C4 | — | 25 | 1 | no | — |
| 251 | C22⋊C4 | — | 25 | 1 | no | — |
| 252 | C22⋊C4 | — | 25 | 1 | no | — |
| 253 | C22⋊C4 | — | 25 | 1 | no | — |
| 254 | C22⋊C4 | — | 25 | 1 | no | — |
| 255 | C22⋊C4 | — | 25 | 1 | no | — |
| 256 | C22⋊C4 | — | 25 | 1 | no | — |
| 257 | C22⋊C4 | — | 25 | 1 | no | — |
| 258 | C22⋊C4 | — | 25 | 1 | no | — |
| 259 | C22⋊C4 | C2×D25 | 1 | 1 | yes | characteristic |
| 260 | C22⋊C4 | C2×D25 | 1 | 1 | yes | characteristic, complemented |
| 261 | C22⋊C4 | C2×D25 | 1 | 1 | yes | characteristic, complemented |
| 262 | C42 | — | 25 | 1 | no | — |
| 263 | C42 | — | 25 | 1 | no | — |
| 264 | C42 | — | 25 | 1 | no | — |
| 265 | C2×C5 | — | 2 | 2 | no | — |
| 266 | C2×C5 | — | 4 | 1 | no | — |
| 267 | C2×C5 | C2×#711 | 1 | 1 | yes | characteristic |
| 268 | C2×C5 | D5×#41 | 1 | 1 | yes | characteristic |
| 269 | C2×C5 | #4149 | 1 | 1 | yes | characteristic |
| 270 | D5 | — | 10 | 2 | no | — |
| 271 | D5 | — | 20 | 1 | no | — |
| 272 | C23 | — | 25 | 1 | no | — |
| 273 | C23 | — | 25 | 1 | no | — |
| 274 | C23 | — | 50 | 2 | no | — |
| 275 | C23 | — | 50 | 2 | no | — |
| 276 | C23 | — | 100 | 1 | no | — |
| 277 | C23 | C22×D25 | 1 | 1 | yes | characteristic |
| 278 | C23 | C22×D25 | 1 | 1 | yes | characteristic |
| 279 | Q8 | — | 100 | 1 | no | — |
| 280 | D4 | — | 2 | 2 | no | — |
| 281 | D4 | — | 50 | 2 | no | — |
| 282 | D4 | — | 100 | 1 | no | — |
| 283 | C2×C4 | — | 2 | 2 | no | — |
| 284 | C2×C4 | — | 25 | 1 | no | — |
| 285 | C2×C4 | — | 25 | 1 | no | — |
| 286 | C2×C4 | — | 25 | 1 | no | — |
| 287 | C2×C4 | — | 25 | 1 | no | — |
| 288 | C2×C4 | — | 25 | 1 | no | — |
| 289 | C2×C4 | — | 25 | 1 | no | — |
| 290 | C2×C4 | — | 50 | 2 | no | — |
| 291 | C2×C4 | — | 100 | 1 | no | — |
| 292 | C2×C4 | — | 100 | 1 | no | — |
| 293 | C2×C4 | — | 100 | 1 | no | — |
| 294 | C2×C4 | C22×D25 | 1 | 1 | yes | characteristic |
| 295 | C2×C4 | C22×D25 | 1 | 1 | yes | characteristic |
| 296 | C2×C4 | C22×D25 | 1 | 1 | yes | characteristic |
| 297 | C2×C4 | C22×D25 | 1 | 1 | yes | characteristic |
| 298 | C2×C4 | C22×D25 | 1 | 1 | yes | characteristic |
| 299 | C5 | #65992 | 1 | 1 | yes | characteristic |
| 300 | C22 | — | 2 | 1 | no | — |
| 301 | C22 | — | 2 | 1 | no | — |
| 302 | C22 | — | 2 | 1 | no | — |
| 303 | C22 | — | 2 | 1 | no | — |
| 304 | C22 | — | 2 | 1 | no | — |
| 305 | C22 | — | 25 | 2 | no | — |
| 306 | C22 | — | 50 | 1 | no | — |
| 307 | C22 | — | 50 | 1 | no | — |
| 308 | C22 | — | 50 | 1 | no | — |
| 309 | C22 | — | 50 | 1 | no | — |
| 310 | C22 | — | 50 | 1 | no | — |
| 311 | C22 | — | 100 | 4 | no | — |
| 312 | C22 | #87746 | 1 | 2 | yes | — |
| 313 | C22 | C23×D25 | 1 | 1 | yes | characteristic |
| 314 | C4 | — | 2 | 1 | no | — |
| 315 | C4 | — | 2 | 1 | no | — |
| 316 | C4 | — | 2 | 1 | no | — |
| 317 | C4 | — | 2 | 1 | no | — |
| 318 | C4 | — | 2 | 1 | no | — |
| 319 | C4 | — | 50 | 1 | no | — |
| 320 | C4 | — | 50 | 1 | no | — |
| 321 | C4 | — | 50 | 1 | no | — |
| 322 | C4 | — | 50 | 1 | no | — |
| 323 | C4 | — | 50 | 1 | no | — |
| 324 | C4 | — | 50 | 1 | no | — |
| 325 | C2 | — | 2 | 2 | no | — |
| 326 | C2 | — | 4 | 1 | no | — |
| 327 | C2 | — | 50 | 2 | no | — |
| 328 | C2 | — | 100 | 1 | no | — |
| 329 | C2 | C2×#87746 | 1 | 1 | yes | characteristic |
| 330 | C2 | #41×D25 | 1 | 1 | yes | characteristic |
| 331 | C2 | #11716568 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta