| 1 | C23×#3067 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C23×#2155 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C23×#2143 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C23×#2138 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C23×#2113 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C23×#1814 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C23×#1381 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C23×#575 | — | 2 | 1 | no | — |
| 9 | C2×C23×#135 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×C23×#131 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C23×M32 | C22 | 1 | 1 | yes | characteristic |
| 12 | C22×C16×C23 | C22 | 1 | 1 | yes | characteristic |
| 13 | C23×#473 | — | 2 | 1 | no | — |
| 14 | C23×#472 | — | 2 | 1 | no | — |
| 15 | C23×#471 | — | 2 | 2 | no | — |
| 16 | C2×C23×#108 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C23×#108 | C22 | 1 | 1 | yes | characteristic |
| 18 | C23×#427 | C22 | 1 | 1 | yes | characteristic |
| 19 | C23×#421 | — | 2 | 1 | no | — |
| 20 | C23×#413 | — | 2 | 1 | no | — |
| 21 | C23×#365 | — | 2 | 2 | no | — |
| 22 | C23×#359 | — | 2 | 2 | no | — |
| 23 | C23×#358 | — | 2 | 1 | no | — |
| 24 | C23×#357 | — | 2 | 1 | no | — |
| 25 | C23×C22⋊C16 | — | 2 | 2 | no | — |
| 26 | C23×#344 | — | 2 | 1 | no | — |
| 27 | C2×#41×C23 | — | 2 | 1 | no | — |
| 28 | C2×#41×C23 | D4 | 1 | 1 | yes | characteristic |
| 29 | C23×#137 | — | 2 | 2 | no | — |
| 30 | C23×#137 | — | 4 | 1 | no | — |
| 31 | C23×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 32 | C23×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 33 | C23×#135 | — | 2 | 1 | no | — |
| 34 | C23×#135 | — | 2 | 1 | no | — |
| 35 | C23×#135 | — | 2 | 1 | no | — |
| 36 | C23×#135 | — | 2 | 1 | no | — |
| 37 | C23×#135 | — | 4 | 2 | no | — |
| 38 | C2×Q16×C23 | D4 | 1 | 1 | yes | characteristic |
| 39 | C2×SD16×C23 | — | 2 | 1 | no | — |
| 40 | C2×D8×C23 | D4 | 1 | 1 | yes | characteristic |
| 41 | C23×#131 | — | 2 | 1 | no | — |
| 42 | C23×#131 | — | 2 | 1 | no | — |
| 43 | C23×#131 | — | 2 | 1 | no | — |
| 44 | C23×#131 | — | 2 | 1 | no | — |
| 45 | C2×M16×C23 | — | 2 | 1 | no | — |
| 46 | C2×M16×C23 | — | 2 | 1 | no | — |
| 47 | C2×M16×C23 | — | 2 | 1 | no | — |
| 48 | C2×M16×C23 | D4 | 1 | 1 | yes | characteristic |
| 49 | C22×C8×C23 | — | 2 | 1 | no | — |
| 50 | C22×C8×C23 | C23 | 1 | 1 | yes | characteristic |
| 51 | C23×#117 | — | 2 | 1 | no | — |
| 52 | C23×M32 | — | 2 | 1 | no | — |
| 53 | C23×M32 | — | 2 | 1 | no | — |
| 54 | C2×C16×C23 | — | 2 | 1 | no | — |
| 55 | C2×C16×C23 | — | 2 | 1 | no | — |
| 56 | C2×C16×C23 | — | 2 | 1 | no | — |
| 57 | C2×C16×C23 | D4 | 1 | 2 | yes | — |
| 58 | C23×#108 | — | 2 | 1 | no | — |
| 59 | C23×#108 | — | 2 | 1 | no | — |
| 60 | C23×#108 | — | 2 | 1 | no | — |
| 61 | C23×#108 | D4 | 1 | 2 | yes | — |
| 62 | C23×#107 | — | 2 | 1 | no | — |
| 63 | C23×#106 | — | 2 | 1 | no | — |
| 64 | C23×#104 | — | 4 | 2 | no | — |
| 65 | C23×#101 | — | 2 | 2 | no | — |
| 66 | C23×#100 | — | 2 | 2 | no | — |
| 67 | #41×C23 | — | 2 | 1 | no | — |
| 68 | #41×C23 | — | 2 | 1 | no | — |
| 69 | #41×C23 | — | 2 | 1 | no | — |
| 70 | #41×C23 | — | 2 | 1 | no | — |
| 71 | #41×C23 | — | 4 | 1 | no | — |
| 72 | #41×C23 | — | 4 | 1 | no | — |
| 73 | #41×C23 | — | 4 | 1 | no | — |
| 74 | #41×C23 | — | 4 | 1 | no | — |
| 75 | C2×Q8×C23 | — | 2 | 1 | no | — |
| 76 | C2×Q8×C23 | SD16 | 1 | 1 | yes | characteristic |
| 77 | C2×D4×C23 | — | 2 | 1 | no | — |
| 78 | C2×D4×C23 | — | 2 | 1 | no | — |
| 79 | C2×D4×C23 | — | 4 | 1 | no | — |
| 80 | C2×D4×C23 | SD16 | 1 | 1 | yes | characteristic |
| 81 | C22×C4×C23 | — | 2 | 1 | no | — |
| 82 | C22×C4×C23 | — | 4 | 1 | no | — |
| 83 | C22×C4×C23 | C2×D4 | 1 | 1 | yes | characteristic |
| 84 | Q16×C23 | — | 2 | 1 | no | — |
| 85 | Q16×C23 | — | 2 | 1 | no | — |
| 86 | Q16×C23 | — | 4 | 2 | no | — |
| 87 | SD16×C23 | — | 4 | 2 | no | — |
| 88 | SD16×C23 | — | 4 | 2 | no | — |
| 89 | SD16×C23 | — | 4 | 1 | no | — |
| 90 | SD16×C23 | — | 4 | 1 | no | — |
| 91 | D8×C23 | — | 2 | 1 | no | — |
| 92 | D8×C23 | — | 2 | 1 | no | — |
| 93 | D8×C23 | — | 4 | 2 | no | — |
| 94 | M16×C23 | — | 2 | 1 | no | — |
| 95 | M16×C23 | — | 2 | 2 | no | — |
| 96 | M16×C23 | — | 2 | 1 | no | — |
| 97 | M16×C23 | — | 4 | 1 | no | — |
| 98 | M16×C23 | — | 4 | 1 | no | — |
| 99 | M16×C23 | — | 4 | 1 | no | — |
| 100 | M16×C23 | — | 4 | 1 | no | — |
| 101 | M16×C23 | — | 4 | 1 | no | — |
| 102 | C2×C8×C23 | — | 2 | 1 | no | — |
| 103 | C2×C8×C23 | — | 4 | 1 | no | — |
| 104 | C2×C8×C23 | — | 4 | 1 | no | — |
| 105 | C2×C8×C23 | — | 4 | 1 | no | — |
| 106 | C2×C8×C23 | — | 4 | 1 | no | — |
| 107 | C2×C8×C23 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C2×C8×C23 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C2×C8×C23 | C2×D4 | 1 | 1 | yes | characteristic |
| 110 | C2×C8×C23 | #41 | 1 | 1 | yes | characteristic |
| 111 | C2×C8×C23 | #41 | 1 | 1 | yes | characteristic |
| 112 | C2×C8×C23 | #41 | 1 | 1 | yes | characteristic |
| 113 | C4⋊C4×C23 | — | 4 | 1 | no | — |
| 114 | C22⋊C4×C23 | — | 4 | 1 | no | — |
| 115 | C42×C23 | — | 4 | 1 | no | — |
| 116 | C16×C23 | — | 2 | 2 | no | — |
| 117 | C16×C23 | — | 4 | 1 | no | — |
| 118 | #13406 | C23 | 1 | 1 | yes | maximal, characteristic, direct product factor, Sylow |
| 119 | C23×C23 | — | 2 | 1 | no | — |
| 120 | C23×C23 | — | 4 | 1 | no | — |
| 121 | C23×C23 | #135 | 1 | 1 | yes | characteristic |
| 122 | Q8×C23 | — | 2 | 1 | no | — |
| 123 | Q8×C23 | — | 2 | 1 | no | — |
| 124 | Q8×C23 | — | 4 | 1 | no | — |
| 125 | Q8×C23 | — | 4 | 1 | no | — |
| 126 | D4×C23 | — | 2 | 1 | no | — |
| 127 | D4×C23 | — | 2 | 1 | no | — |
| 128 | D4×C23 | — | 4 | 1 | no | — |
| 129 | D4×C23 | — | 4 | 1 | no | — |
| 130 | D4×C23 | — | 4 | 1 | no | — |
| 131 | D4×C23 | — | 4 | 1 | no | — |
| 132 | D4×C23 | — | 8 | 1 | no | — |
| 133 | D4×C23 | — | 8 | 1 | no | — |
| 134 | C2×C4×C23 | — | 2 | 1 | no | — |
| 135 | C2×C4×C23 | — | 4 | 1 | no | — |
| 136 | C2×C4×C23 | — | 4 | 1 | no | — |
| 137 | C2×C4×C23 | — | 4 | 1 | no | — |
| 138 | C2×C4×C23 | — | 8 | 1 | no | — |
| 139 | C2×C4×C23 | — | 8 | 1 | no | — |
| 140 | C2×C4×C23 | — | 8 | 1 | no | — |
| 141 | C2×C4×C23 | #120 | 1 | 1 | yes | characteristic |
| 142 | C2×C4×C23 | #121 | 1 | 1 | yes | characteristic |
| 143 | C2×C4×C23 | #123 | 1 | 1 | yes | characteristic |
| 144 | C2×C4×C23 | C2×SD16 | 1 | 1 | yes | characteristic |
| 145 | C2×C4×C23 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 146 | C2×C4×C23 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 147 | C8×C23 | — | 4 | 1 | no | — |
| 148 | C8×C23 | — | 4 | 2 | no | — |
| 149 | C8×C23 | — | 8 | 1 | no | — |
| 150 | C8×C23 | #121 | 1 | 1 | yes | characteristic |
| 151 | C8×C23 | #121 | 1 | 1 | yes | characteristic |
| 152 | C8×C23 | #123 | 1 | 1 | yes | characteristic |
| 153 | C8×C23 | #124 | 1 | 1 | yes | characteristic |
| 154 | #3067 | C2×C23 | 1 | 1 | yes | characteristic |
| 155 | #2155 | C2×C23 | 1 | 1 | yes | characteristic, complemented |
| 156 | #2143 | C2×C23 | 1 | 1 | yes | characteristic, complemented |
| 157 | #2138 | C2×C23 | 1 | 1 | yes | characteristic, complemented |
| 158 | #2113 | C2×C23 | 1 | 1 | yes | characteristic, complemented |
| 159 | #1814 | C2×C23 | 1 | 1 | yes | characteristic, complemented |
| 160 | #1381 | C2×C23 | 1 | 1 | yes | characteristic, complemented |
| 161 | C22×C23 | — | 4 | 1 | no | — |
| 162 | C22×C23 | — | 4 | 2 | no | — |
| 163 | C22×C23 | — | 4 | 1 | no | — |
| 164 | C22×C23 | — | 8 | 1 | no | — |
| 165 | C22×C23 | — | 16 | 1 | no | — |
| 166 | C22×C23 | #449 | 1 | 1 | yes | characteristic |
| 167 | C22×C23 | #465 | 1 | 1 | yes | characteristic |
| 168 | C22×C23 | #482 | 1 | 1 | yes | characteristic |
| 169 | C4×C23 | — | 4 | 1 | no | — |
| 170 | C4×C23 | — | 8 | 1 | no | — |
| 171 | C4×C23 | — | 16 | 1 | no | — |
| 172 | C4×C23 | #394 | 1 | 1 | yes | characteristic |
| 173 | C4×C23 | #450 | 1 | 1 | yes | characteristic |
| 174 | C4×C23 | #469 | 1 | 1 | yes | characteristic |
| 175 | C4×C23 | #481 | 1 | 1 | yes | characteristic |
| 176 | #575 | — | 2 | 1 | no | — |
| 177 | C2×#135 | C22×C23 | 1 | 1 | yes | characteristic |
| 178 | C2×#131 | C22×C23 | 1 | 1 | yes | characteristic |
| 179 | C2×M32 | C22×C23 | 1 | 1 | yes | characteristic |
| 180 | C22×C16 | C22×C23 | 1 | 1 | yes | characteristic |
| 181 | #473 | — | 2 | 1 | no | — |
| 182 | #472 | — | 2 | 1 | no | — |
| 183 | #471 | — | 2 | 2 | no | — |
| 184 | C2×#108 | C22×C23 | 1 | 1 | yes | characteristic |
| 185 | C2×#108 | C22×C23 | 1 | 1 | yes | characteristic |
| 186 | #427 | C22×C23 | 1 | 1 | yes | characteristic |
| 187 | #421 | — | 2 | 1 | no | — |
| 188 | #413 | — | 2 | 1 | no | — |
| 189 | #365 | — | 2 | 2 | no | — |
| 190 | #359 | — | 2 | 2 | no | — |
| 191 | #358 | — | 2 | 1 | no | — |
| 192 | #357 | — | 2 | 1 | no | — |
| 193 | C22⋊C16 | — | 2 | 2 | no | — |
| 194 | #344 | — | 2 | 1 | no | — |
| 195 | C2×C23 | — | 2 | 1 | no | — |
| 196 | C2×C23 | — | 2 | 1 | no | — |
| 197 | C2×C23 | — | 2 | 1 | no | — |
| 198 | C2×C23 | — | 8 | 1 | no | — |
| 199 | C2×C23 | — | 16 | 1 | no | — |
| 200 | C2×C23 | #2034 | 1 | 1 | yes | characteristic |
| 201 | C2×#41 | — | 2 | 1 | no | — |
| 202 | C2×#41 | D4×C23 | 1 | 1 | yes | characteristic |
| 203 | #137 | — | 2 | 2 | no | — |
| 204 | #137 | — | 4 | 1 | no | — |
| 205 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 206 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 207 | #135 | — | 2 | 1 | no | — |
| 208 | #135 | — | 2 | 1 | no | — |
| 209 | #135 | — | 2 | 1 | no | — |
| 210 | #135 | — | 2 | 1 | no | — |
| 211 | #135 | — | 4 | 2 | no | — |
| 212 | C2×Q16 | D4×C23 | 1 | 1 | yes | characteristic |
| 213 | C2×SD16 | — | 2 | 1 | no | — |
| 214 | C2×D8 | D4×C23 | 1 | 1 | yes | characteristic |
| 215 | #131 | — | 2 | 1 | no | — |
| 216 | #131 | — | 2 | 1 | no | — |
| 217 | #131 | — | 2 | 1 | no | — |
| 218 | #131 | — | 2 | 1 | no | — |
| 219 | C2×M16 | — | 2 | 1 | no | — |
| 220 | C2×M16 | — | 2 | 1 | no | — |
| 221 | C2×M16 | — | 2 | 1 | no | — |
| 222 | C2×M16 | D4×C23 | 1 | 1 | yes | characteristic |
| 223 | C22×C8 | — | 2 | 1 | no | — |
| 224 | C22×C8 | C23×C23 | 1 | 1 | yes | characteristic |
| 225 | #117 | — | 2 | 1 | no | — |
| 226 | M32 | — | 2 | 1 | no | — |
| 227 | M32 | — | 2 | 1 | no | — |
| 228 | C2×C16 | — | 2 | 1 | no | — |
| 229 | C2×C16 | — | 2 | 1 | no | — |
| 230 | C2×C16 | — | 2 | 1 | no | — |
| 231 | C2×C16 | D4×C23 | 1 | 2 | yes | — |
| 232 | #108 | — | 2 | 1 | no | — |
| 233 | #108 | — | 2 | 1 | no | — |
| 234 | #108 | — | 2 | 1 | no | — |
| 235 | #108 | D4×C23 | 1 | 2 | yes | — |
| 236 | #107 | — | 2 | 1 | no | — |
| 237 | #106 | — | 2 | 1 | no | — |
| 238 | #104 | — | 4 | 2 | no | — |
| 239 | #101 | — | 2 | 2 | no | — |
| 240 | #100 | — | 2 | 2 | no | — |
| 241 | C23 | #13406 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 242 | #41 | — | 2 | 1 | no | — |
| 243 | #41 | — | 2 | 1 | no | — |
| 244 | #41 | — | 2 | 1 | no | — |
| 245 | #41 | — | 2 | 1 | no | — |
| 246 | #41 | — | 4 | 1 | no | — |
| 247 | #41 | — | 4 | 1 | no | — |
| 248 | #41 | — | 4 | 1 | no | — |
| 249 | #41 | — | 4 | 1 | no | — |
| 250 | C2×Q8 | — | 2 | 1 | no | — |
| 251 | C2×Q8 | SD16×C23 | 1 | 1 | yes | characteristic |
| 252 | C2×D4 | — | 2 | 1 | no | — |
| 253 | C2×D4 | — | 2 | 1 | no | — |
| 254 | C2×D4 | — | 4 | 1 | no | — |
| 255 | C2×D4 | SD16×C23 | 1 | 1 | yes | characteristic |
| 256 | C22×C4 | — | 2 | 1 | no | — |
| 257 | C22×C4 | — | 4 | 1 | no | — |
| 258 | C22×C4 | C2×D4×C23 | 1 | 1 | yes | characteristic |
| 259 | Q16 | — | 2 | 1 | no | — |
| 260 | Q16 | — | 2 | 1 | no | — |
| 261 | Q16 | — | 4 | 2 | no | — |
| 262 | SD16 | — | 4 | 2 | no | — |
| 263 | SD16 | — | 4 | 2 | no | — |
| 264 | SD16 | — | 4 | 1 | no | — |
| 265 | SD16 | — | 4 | 1 | no | — |
| 266 | D8 | — | 2 | 1 | no | — |
| 267 | D8 | — | 2 | 1 | no | — |
| 268 | D8 | — | 4 | 2 | no | — |
| 269 | M16 | — | 2 | 1 | no | — |
| 270 | M16 | — | 2 | 2 | no | — |
| 271 | M16 | — | 2 | 1 | no | — |
| 272 | M16 | — | 4 | 1 | no | — |
| 273 | M16 | — | 4 | 1 | no | — |
| 274 | M16 | — | 4 | 1 | no | — |
| 275 | M16 | — | 4 | 1 | no | — |
| 276 | M16 | — | 4 | 1 | no | — |
| 277 | C2×C8 | — | 2 | 1 | no | — |
| 278 | C2×C8 | — | 4 | 1 | no | — |
| 279 | C2×C8 | — | 4 | 1 | no | — |
| 280 | C2×C8 | — | 4 | 1 | no | — |
| 281 | C2×C8 | — | 4 | 1 | no | — |
| 282 | C2×C8 | C2×D4×C23 | 1 | 1 | yes | characteristic |
| 283 | C2×C8 | C2×D4×C23 | 1 | 1 | yes | characteristic |
| 284 | C2×C8 | C2×D4×C23 | 1 | 1 | yes | characteristic |
| 285 | C2×C8 | #41×C23 | 1 | 1 | yes | characteristic |
| 286 | C2×C8 | #41×C23 | 1 | 1 | yes | characteristic |
| 287 | C2×C8 | #41×C23 | 1 | 1 | yes | characteristic |
| 288 | C4⋊C4 | — | 4 | 1 | no | — |
| 289 | C22⋊C4 | — | 4 | 1 | no | — |
| 290 | C42 | — | 4 | 1 | no | — |
| 291 | C16 | — | 2 | 2 | no | — |
| 292 | C16 | — | 4 | 1 | no | — |
| 293 | C23 | — | 2 | 1 | no | — |
| 294 | C23 | — | 4 | 1 | no | — |
| 295 | C23 | C23×#135 | 1 | 1 | yes | characteristic |
| 296 | Q8 | — | 2 | 1 | no | — |
| 297 | Q8 | — | 2 | 1 | no | — |
| 298 | Q8 | — | 4 | 1 | no | — |
| 299 | Q8 | — | 4 | 1 | no | — |
| 300 | D4 | — | 2 | 1 | no | — |
| 301 | D4 | — | 2 | 1 | no | — |
| 302 | D4 | — | 4 | 1 | no | — |
| 303 | D4 | — | 4 | 1 | no | — |
| 304 | D4 | — | 4 | 1 | no | — |
| 305 | D4 | — | 4 | 1 | no | — |
| 306 | D4 | — | 8 | 1 | no | — |
| 307 | D4 | — | 8 | 1 | no | — |
| 308 | C2×C4 | — | 2 | 1 | no | — |
| 309 | C2×C4 | — | 4 | 1 | no | — |
| 310 | C2×C4 | — | 4 | 1 | no | — |
| 311 | C2×C4 | — | 4 | 1 | no | — |
| 312 | C2×C4 | — | 8 | 1 | no | — |
| 313 | C2×C4 | — | 8 | 1 | no | — |
| 314 | C2×C4 | — | 8 | 1 | no | — |
| 315 | C2×C4 | C23×#120 | 1 | 1 | yes | characteristic |
| 316 | C2×C4 | C23×#121 | 1 | 1 | yes | characteristic |
| 317 | C2×C4 | C23×#123 | 1 | 1 | yes | characteristic |
| 318 | C2×C4 | C2×SD16×C23 | 1 | 1 | yes | characteristic |
| 319 | C2×C4 | C23×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 320 | C2×C4 | C23×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 321 | C8 | — | 4 | 1 | no | — |
| 322 | C8 | — | 4 | 2 | no | — |
| 323 | C8 | — | 8 | 1 | no | — |
| 324 | C8 | C23×#121 | 1 | 1 | yes | characteristic |
| 325 | C8 | C23×#121 | 1 | 1 | yes | characteristic |
| 326 | C8 | C23×#123 | 1 | 1 | yes | characteristic |
| 327 | C8 | C23×#124 | 1 | 1 | yes | characteristic |
| 328 | C22 | — | 4 | 1 | no | — |
| 329 | C22 | — | 4 | 2 | no | — |
| 330 | C22 | — | 4 | 1 | no | — |
| 331 | C22 | — | 8 | 1 | no | — |
| 332 | C22 | — | 16 | 1 | no | — |
| 333 | C22 | C23×#449 | 1 | 1 | yes | characteristic |
| 334 | C22 | C23×#465 | 1 | 1 | yes | characteristic |
| 335 | C22 | C23×#482 | 1 | 1 | yes | characteristic |
| 336 | C4 | — | 4 | 1 | no | — |
| 337 | C4 | — | 8 | 1 | no | — |
| 338 | C4 | — | 16 | 1 | no | — |
| 339 | C4 | C23×#394 | 1 | 1 | yes | characteristic |
| 340 | C4 | C23×#450 | 1 | 1 | yes | characteristic |
| 341 | C4 | C23×#469 | 1 | 1 | yes | characteristic |
| 342 | C4 | C23×#481 | 1 | 1 | yes | characteristic |
| 343 | C2 | — | 2 | 1 | no | — |
| 344 | C2 | — | 2 | 1 | no | — |
| 345 | C2 | — | 2 | 1 | no | — |
| 346 | C2 | — | 8 | 1 | no | — |
| 347 | C2 | — | 16 | 1 | no | — |
| 348 | C2 | C23×#2034 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta