| 1 | #10617413 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10604778 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10604115 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#64846 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10599918 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #10598671 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10598661 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | D5×#131 | C22 | 1 | 1 | yes | characteristic |
| 9 | #65794 | C4 | 1 | 1 | yes | characteristic |
| 10 | D5⋊#104 | C4 | 1 | 1 | yes | characteristic |
| 11 | #65791 | C4 | 1 | 2 | yes | complemented |
| 12 | #65725 | — | 2 | 2 | no | — |
| 13 | #65725 | C4 | 1 | 2 | yes | complemented |
| 14 | #65718 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×#3992 | C22 | 1 | 1 | yes | characteristic |
| 16 | D5⋊M32 | — | 2 | 1 | no | — |
| 17 | D5⋊M32 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#3990 | — | 2 | 1 | no | — |
| 19 | C2×#3990 | C22 | 1 | 1 | yes | characteristic |
| 20 | D5×M32 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#3930 | C22 | 1 | 1 | yes | characteristic |
| 22 | #64901 | C4 | 1 | 1 | yes | characteristic |
| 23 | #64900 | C4 | 1 | 1 | yes | characteristic |
| 24 | #64846 | — | 2 | 2 | no | — |
| 25 | #64846 | — | 2 | 1 | no | — |
| 26 | #64845 | — | 2 | 1 | no | — |
| 27 | C5×#350 | C4 | 1 | 1 | yes | characteristic, complemented |
| 28 | #64781 | C4 | 1 | 1 | yes | characteristic, complemented |
| 29 | #64735 | C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | #64728 | C4 | 1 | 1 | yes | characteristic, complemented |
| 31 | #12618 | — | 5 | 1 | no | maximal, Sylow |
| 32 | D5×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 33 | #4130 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | C2×C4×AGL(1,𝔽5) | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | D5⋊M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 36 | C2×D5⋊C8 | C2×C4 | 1 | 1 | yes | characteristic |
| 37 | C5×#131 | C2×C4 | 1 | 1 | yes | characteristic |
| 38 | #4094 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | #4053 | — | 2 | 1 | no | — |
| 40 | #4053 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | D5×M16 | — | 2 | 1 | no | — |
| 42 | D5×M16 | C2×C4 | 1 | 1 | yes | characteristic |
| 43 | #4047 | — | 2 | 1 | no | — |
| 44 | #4047 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C2×C8×D5 | — | 2 | 1 | no | — |
| 46 | C2×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 47 | #4010 | — | 2 | 1 | no | — |
| 48 | #4009 | — | 2 | 1 | no | — |
| 49 | #4008 | — | 2 | 1 | no | — |
| 50 | #4007 | — | 2 | 1 | no | — |
| 51 | #3998 | — | 2 | 2 | no | — |
| 52 | #3998 | C2×C4 | 1 | 2 | yes | — |
| 53 | C2×#674 | — | 2 | 2 | no | — |
| 54 | C2×#674 | C2×C4 | 1 | 2 | yes | — |
| 55 | #3992 | — | 2 | 1 | no | — |
| 56 | #3992 | — | 2 | 1 | no | — |
| 57 | #3992 | — | 2 | 1 | no | — |
| 58 | C8×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 59 | #3990 | — | 2 | 1 | no | — |
| 60 | #3990 | — | 2 | 2 | no | — |
| 61 | #3990 | D4 | 1 | 1 | yes | characteristic |
| 62 | #3990 | D4 | 1 | 1 | yes | characteristic |
| 63 | #3990 | D4 | 1 | 2 | yes | — |
| 64 | D5⋊C16 | — | 2 | 1 | no | — |
| 65 | D5⋊C16 | — | 2 | 2 | no | — |
| 66 | C5×M32 | C2×C4 | 1 | 1 | yes | characteristic |
| 67 | C2×C5×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 68 | #3944 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | C2×#672 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | #3930 | — | 2 | 1 | no | — |
| 71 | #3930 | — | 2 | 1 | no | — |
| 72 | #3930 | — | 2 | 1 | no | — |
| 73 | D5×C16 | — | 2 | 1 | no | — |
| 74 | #3407 | — | 5 | 1 | no | — |
| 75 | #2117 | — | 5 | 1 | no | — |
| 76 | #2110 | — | 5 | 1 | no | — |
| 77 | C2×#347 | — | 5 | 1 | no | — |
| 78 | #1765 | — | 5 | 1 | no | — |
| 79 | #1378 | — | 5 | 1 | no | — |
| 80 | #1377 | — | 5 | 1 | no | — |
| 81 | C22×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 82 | C5×#41 | C42 | 1 | 1 | yes | characteristic |
| 83 | #713 | M16 | 1 | 1 | yes | characteristic |
| 84 | Q8×D5 | M16 | 1 | 1 | yes | characteristic |
| 85 | #711 | — | 2 | 1 | no | — |
| 86 | #711 | M16 | 1 | 1 | yes | characteristic |
| 87 | D4×D5 | — | 2 | 1 | no | — |
| 88 | D4×D5 | M16 | 1 | 1 | yes | characteristic |
| 89 | #709 | — | 2 | 1 | no | — |
| 90 | #709 | C42 | 1 | 1 | yes | characteristic |
| 91 | C2×C4×D5 | — | 2 | 1 | no | — |
| 92 | C2×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 93 | C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 94 | #704 | — | 2 | 1 | no | — |
| 95 | C2×#170 | — | 2 | 1 | no | — |
| 96 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 97 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 98 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 99 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 100 | #700 | — | 2 | 1 | no | — |
| 101 | D5⋊C8 | — | 2 | 1 | no | — |
| 102 | D5⋊C8 | — | 2 | 1 | no | — |
| 103 | D5⋊C8 | — | 2 | 1 | no | — |
| 104 | C5×M16 | — | 2 | 1 | no | — |
| 105 | C5×M16 | C42 | 1 | 1 | yes | characteristic |
| 106 | C2×C5×C8 | — | 2 | 1 | no | — |
| 107 | C2×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 108 | #681 | — | 2 | 1 | no | — |
| 109 | #681 | C42 | 1 | 1 | yes | characteristic |
| 110 | C2×#168 | — | 2 | 1 | no | — |
| 111 | C2×#168 | C22×C4 | 1 | 1 | yes | characteristic |
| 112 | #676 | — | 2 | 1 | no | — |
| 113 | #676 | — | 2 | 1 | no | — |
| 114 | #676 | — | 2 | 1 | no | — |
| 115 | C8×D5 | — | 2 | 1 | no | — |
| 116 | C8×D5 | — | 2 | 1 | no | — |
| 117 | C8×D5 | — | 2 | 1 | no | — |
| 118 | C8×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C8×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 120 | C8×D5 | #41 | 1 | 1 | yes | characteristic |
| 121 | C8×D5 | #41 | 1 | 1 | yes | characteristic |
| 122 | #674 | — | 2 | 2 | no | — |
| 123 | #674 | C22⋊C4 | 1 | 2 | yes | — |
| 124 | #674 | C22⋊C4 | 1 | 2 | yes | — |
| 125 | C5×C16 | — | 2 | 1 | no | — |
| 126 | C5×C16 | — | 2 | 1 | no | — |
| 127 | #672 | — | 2 | 1 | no | — |
| 128 | #672 | — | 2 | 1 | no | — |
| 129 | C2×#131 | — | 5 | 1 | no | — |
| 130 | #504 | — | 5 | 2 | no | — |
| 131 | #504 | — | 5 | 2 | no | — |
| 132 | #504 | — | 10 | 2 | no | — |
| 133 | C2×M32 | — | 5 | 1 | no | — |
| 134 | C2×M32 | — | 5 | 1 | no | — |
| 135 | C2×M32 | — | 5 | 1 | no | — |
| 136 | C2×M32 | — | 5 | 1 | no | — |
| 137 | C2×M32 | — | 10 | 1 | no | — |
| 138 | C2×M32 | — | 10 | 1 | no | — |
| 139 | C2×#104 | — | 5 | 1 | no | — |
| 140 | #416 | — | 5 | 1 | no | — |
| 141 | #405 | — | 5 | 1 | no | — |
| 142 | C2×#97 | — | 5 | 1 | no | — |
| 143 | #350 | — | 5 | 1 | no | — |
| 144 | #350 | — | 5 | 1 | no | — |
| 145 | #350 | — | 5 | 1 | no | — |
| 146 | #350 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 147 | #347 | — | 10 | 2 | no | — |
| 148 | #347 | — | 10 | 1 | no | — |
| 149 | #347 | — | 10 | 1 | no | — |
| 150 | #341 | — | 5 | 1 | no | — |
| 151 | #339 | — | 5 | 1 | no | — |
| 152 | C22×D5 | — | 2 | 1 | no | — |
| 153 | C22×D5 | #131 | 1 | 1 | yes | characteristic |
| 154 | C2×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 155 | C2×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 156 | C2×AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 157 | C5×Q8 | #97 | 1 | 1 | yes | characteristic |
| 158 | C5×D4 | — | 2 | 1 | no | — |
| 159 | C5×D4 | #97 | 1 | 1 | yes | characteristic |
| 160 | C2×C4×C5 | — | 2 | 1 | no | — |
| 161 | C2×C4×C5 | C2×C42 | 1 | 1 | yes | characteristic |
| 162 | C22⋊D5 | — | 2 | 1 | no | — |
| 163 | C22⋊D5 | — | 2 | 1 | no | — |
| 164 | C22⋊D5 | — | 2 | 1 | no | — |
| 165 | C2×Dic5 | — | 2 | 1 | no | — |
| 166 | C2×Dic5 | #131 | 1 | 1 | yes | characteristic |
| 167 | D20 | — | 2 | 1 | no | — |
| 168 | D20 | #97 | 1 | 1 | yes | characteristic |
| 169 | C4×D5 | — | 2 | 1 | no | — |
| 170 | C4×D5 | — | 2 | 1 | no | — |
| 171 | C4×D5 | — | 2 | 1 | no | — |
| 172 | C4×D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 173 | C4×D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 174 | C4×D5 | C2×M16 | 1 | 1 | yes | characteristic |
| 175 | C4×D5 | C2×M16 | 1 | 1 | yes | characteristic |
| 176 | Dic10 | — | 2 | 1 | no | — |
| 177 | Dic10 | #97 | 1 | 1 | yes | characteristic |
| 178 | #170 | — | 4 | 1 | no | — |
| 179 | #170 | — | 4 | 1 | no | — |
| 180 | C5×C8 | — | 2 | 1 | no | — |
| 181 | C5×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 182 | C5×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 183 | #168 | — | 2 | 1 | no | — |
| 184 | #168 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 185 | #168 | #117 | 1 | 1 | yes | characteristic |
| 186 | C2×#41 | — | 5 | 1 | no | — |
| 187 | #131 | — | 5 | 1 | no | — |
| 188 | #131 | — | 5 | 1 | no | — |
| 189 | #131 | — | 5 | 1 | no | — |
| 190 | #131 | — | 10 | 1 | no | — |
| 191 | #131 | — | 10 | 1 | no | — |
| 192 | #131 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 193 | C2×M16 | — | 5 | 1 | no | — |
| 194 | C2×M16 | — | 5 | 1 | no | — |
| 195 | C2×M16 | — | 10 | 1 | no | — |
| 196 | C22×C8 | — | 5 | 1 | no | — |
| 197 | C22×C8 | — | 5 | 1 | no | — |
| 198 | C22×C8 | — | 10 | 1 | no | — |
| 199 | #117 | — | 5 | 1 | no | — |
| 200 | C2×C42 | — | 5 | 1 | no | — |
| 201 | M32 | — | 5 | 1 | no | — |
| 202 | M32 | — | 5 | 1 | no | — |
| 203 | M32 | — | 5 | 2 | no | — |
| 204 | M32 | — | 5 | 2 | no | — |
| 205 | M32 | — | 5 | 1 | no | — |
| 206 | M32 | — | 10 | 1 | no | — |
| 207 | M32 | — | 10 | 1 | no | — |
| 208 | M32 | — | 10 | 1 | no | — |
| 209 | M32 | — | 10 | 2 | no | — |
| 210 | M32 | — | 10 | 2 | no | — |
| 211 | M32 | — | 10 | 1 | no | — |
| 212 | M32 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 213 | C2×C16 | — | 5 | 2 | no | — |
| 214 | C2×C16 | — | 5 | 1 | no | — |
| 215 | C2×C16 | — | 10 | 1 | no | — |
| 216 | C2×C16 | — | 10 | 2 | no | — |
| 217 | C2×C16 | — | 10 | 2 | no | — |
| 218 | C2×C16 | — | 10 | 1 | no | — |
| 219 | C2×C16 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 220 | #104 | — | 10 | 1 | no | — |
| 221 | #104 | — | 10 | 1 | no | — |
| 222 | #103 | — | 10 | 1 | no | — |
| 223 | #102 | — | 10 | 1 | no | — |
| 224 | #97 | — | 10 | 1 | no | — |
| 225 | #97 | — | 10 | 1 | no | — |
| 226 | #97 | — | 10 | 1 | no | — |
| 227 | C4×C8 | — | 10 | 1 | no | — |
| 228 | C22×C5 | — | 2 | 1 | no | — |
| 229 | C22×C5 | #405 | 1 | 1 | yes | characteristic |
| 230 | C2×D5 | — | 2 | 1 | no | — |
| 231 | C2×D5 | — | 4 | 1 | no | — |
| 232 | C2×D5 | — | 8 | 1 | no | — |
| 233 | C2×D5 | #435 | 1 | 1 | yes | characteristic |
| 234 | C2×D5 | #435 | 1 | 1 | yes | characteristic |
| 235 | AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 236 | AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 237 | C4×C5 | — | 2 | 1 | no | — |
| 238 | C4×C5 | C4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 239 | C4×C5 | C2×#97 | 1 | 1 | yes | characteristic |
| 240 | Dic5 | — | 2 | 1 | no | — |
| 241 | Dic5 | #435 | 1 | 1 | yes | characteristic |
| 242 | Dic5 | #435 | 1 | 1 | yes | characteristic |
| 243 | #41 | — | 5 | 1 | no | — |
| 244 | #41 | — | 5 | 1 | no | — |
| 245 | #41 | — | 5 | 1 | no | — |
| 246 | #41 | — | 10 | 1 | no | — |
| 247 | #41 | — | 10 | 1 | no | — |
| 248 | #41 | C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 249 | C2×Q8 | — | 5 | 1 | no | — |
| 250 | C2×D4 | — | 5 | 1 | no | — |
| 251 | C2×D4 | — | 10 | 1 | no | — |
| 252 | C22×C4 | — | 5 | 1 | no | — |
| 253 | C22×C4 | — | 10 | 1 | no | — |
| 254 | C22×C4 | — | 10 | 1 | no | — |
| 255 | M16 | — | 2 | 1 | no | — |
| 256 | M16 | — | 5 | 1 | no | — |
| 257 | M16 | — | 10 | 1 | no | — |
| 258 | M16 | — | 10 | 1 | no | — |
| 259 | M16 | — | 10 | 1 | no | — |
| 260 | M16 | — | 10 | 1 | no | — |
| 261 | M16 | — | 10 | 1 | no | — |
| 262 | M16 | — | 10 | 1 | no | — |
| 263 | M16 | C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 264 | C2×C8 | — | 2 | 1 | no | — |
| 265 | C2×C8 | — | 5 | 1 | no | — |
| 266 | C2×C8 | — | 5 | 1 | no | — |
| 267 | C2×C8 | — | 5 | 1 | no | — |
| 268 | C2×C8 | — | 5 | 1 | no | — |
| 269 | C2×C8 | — | 5 | 1 | no | — |
| 270 | C2×C8 | — | 10 | 1 | no | — |
| 271 | C2×C8 | — | 10 | 1 | no | — |
| 272 | C2×C8 | — | 10 | 1 | no | — |
| 273 | C2×C8 | — | 10 | 1 | no | — |
| 274 | C2×C8 | — | 10 | 1 | no | — |
| 275 | C2×C8 | — | 10 | 1 | no | — |
| 276 | C2×C8 | — | 10 | 1 | no | — |
| 277 | C2×C8 | — | 10 | 1 | no | — |
| 278 | C2×C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 279 | C4⋊C4 | — | 10 | 1 | no | — |
| 280 | C22⋊C4 | — | 10 | 1 | no | — |
| 281 | C42 | — | 10 | 1 | no | — |
| 282 | C42 | — | 10 | 1 | no | — |
| 283 | C42 | — | 10 | 1 | no | — |
| 284 | C16 | — | 2 | 1 | no | — |
| 285 | C16 | — | 2 | 1 | no | — |
| 286 | C16 | — | 5 | 2 | no | — |
| 287 | C16 | — | 5 | 2 | no | — |
| 288 | C16 | — | 10 | 2 | no | — |
| 289 | C16 | — | 10 | 1 | no | — |
| 290 | C16 | — | 10 | 1 | no | — |
| 291 | C2×C5 | — | 2 | 1 | no | — |
| 292 | C2×C5 | — | 4 | 1 | no | — |
| 293 | C2×C5 | #1752 | 1 | 1 | yes | characteristic |
| 294 | D5 | — | 2 | 1 | no | — |
| 295 | D5 | — | 2 | 1 | no | — |
| 296 | D5 | — | 4 | 1 | no | — |
| 297 | C23 | — | 5 | 1 | no | — |
| 298 | C23 | — | 10 | 1 | no | — |
| 299 | Q8 | — | 5 | 1 | no | — |
| 300 | Q8 | — | 10 | 1 | no | — |
| 301 | Q8 | #3992 | 1 | 1 | yes | characteristic |
| 302 | D4 | — | 2 | 1 | no | — |
| 303 | D4 | — | 5 | 1 | no | — |
| 304 | D4 | — | 10 | 1 | no | — |
| 305 | D4 | — | 10 | 1 | no | — |
| 306 | D4 | — | 10 | 1 | no | — |
| 307 | D4 | — | 10 | 1 | no | — |
| 308 | D4 | #3992 | 1 | 1 | yes | characteristic |
| 309 | C2×C4 | — | 2 | 1 | no | — |
| 310 | C2×C4 | — | 5 | 1 | no | — |
| 311 | C2×C4 | — | 5 | 1 | no | — |
| 312 | C2×C4 | — | 5 | 1 | no | — |
| 313 | C2×C4 | — | 5 | 1 | no | — |
| 314 | C2×C4 | — | 5 | 1 | no | — |
| 315 | C2×C4 | — | 10 | 1 | no | — |
| 316 | C2×C4 | — | 10 | 1 | no | — |
| 317 | C2×C4 | — | 10 | 1 | no | — |
| 318 | C2×C4 | — | 10 | 1 | no | — |
| 319 | C2×C4 | — | 20 | 1 | no | — |
| 320 | C2×C4 | — | 20 | 1 | no | — |
| 321 | C2×C4 | — | 40 | 1 | no | — |
| 322 | C2×C4 | C2×C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 323 | C8 | — | 2 | 1 | no | — |
| 324 | C8 | — | 5 | 1 | no | — |
| 325 | C8 | — | 5 | 1 | no | — |
| 326 | C8 | — | 10 | 1 | no | — |
| 327 | C8 | — | 20 | 1 | no | — |
| 328 | C8 | — | 20 | 1 | no | — |
| 329 | C8 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 330 | C8 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 331 | C5 | #12618 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 332 | C22 | — | 2 | 1 | no | — |
| 333 | C22 | — | 5 | 1 | no | — |
| 334 | C22 | — | 5 | 1 | no | — |
| 335 | C22 | — | 10 | 1 | no | — |
| 336 | C22 | — | 20 | 1 | no | — |
| 337 | C22 | — | 40 | 1 | no | — |
| 338 | C22 | #65728 | 1 | 1 | yes | characteristic |
| 339 | C4 | — | 2 | 1 | no | — |
| 340 | C4 | — | 5 | 1 | no | — |
| 341 | C4 | — | 5 | 1 | no | — |
| 342 | C4 | — | 10 | 1 | no | — |
| 343 | C4 | — | 40 | 1 | no | — |
| 344 | C4 | — | 40 | 1 | no | — |
| 345 | C4 | C22⋊C4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 346 | C4 | C2×#3992 | 1 | 1 | yes | characteristic |
| 347 | C2 | — | 2 | 1 | no | — |
| 348 | C2 | — | 4 | 1 | no | — |
| 349 | C2 | — | 10 | 1 | no | — |
| 350 | C2 | — | 10 | 1 | no | — |
| 351 | C2 | — | 20 | 1 | no | — |
| 352 | C2 | #10603914 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta