| 1 | #72238343 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72238342 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72237472 | C2 | 1 | 8 | yes | maximal, complemented |
| 4 | #72235130 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #72232884 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72218306 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #72213862 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #72210555 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72210511 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10586422 | C22 | 1 | 4 | yes | — |
| 11 | #10586404 | C22 | 1 | 8 | yes | — |
| 12 | C22×#3484 | C22 | 1 | 2 | yes | — |
| 13 | C22×#3484 | C22 | 1 | 1 | yes | characteristic |
| 14 | #7630939 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #7622875 | C22 | 1 | 16 | yes | complemented |
| 16 | C2×#23895 | C22 | 1 | 4 | yes | complemented |
| 17 | C2×#23895 | C22 | 1 | 4 | yes | complemented |
| 18 | #6437621 | C22 | 1 | 4 | yes | complemented |
| 19 | C2×#23897 | C22 | 1 | 4 | yes | complemented |
| 20 | #6437445 | C22 | 1 | 2 | yes | complemented |
| 21 | #493594 | C22 | 1 | 16 | yes | complemented |
| 22 | #493562 | C22 | 1 | 32 | yes | complemented |
| 23 | C2×#12707 | C22 | 1 | 8 | yes | complemented |
| 24 | C2×#12705 | C22 | 1 | 8 | yes | complemented |
| 25 | C2×#12705 | C22 | 1 | 8 | yes | complemented |
| 26 | #493370 | C22 | 1 | 4 | yes | complemented |
| 27 | #493357 | C22 | 1 | 8 | yes | complemented |
| 28 | #392113 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #392109 | C22 | 1 | 2 | yes | complemented |
| 30 | #359558 | C22 | 1 | 4 | yes | complemented |
| 31 | #359549 | C22 | 1 | 4 | yes | complemented |
| 32 | #359549 | C22 | 1 | 4 | yes | complemented |
| 33 | #359509 | C22 | 1 | 2 | yes | complemented |
| 34 | #359442 | C22 | 1 | 4 | yes | complemented |
| 35 | C23×H(5,𝔽2) | D4 | 1 | 2 | yes | complemented |
| 36 | C23×H(5,𝔽2) | D4 | 1 | 1 | yes | characteristic, complemented |
| 37 | C25×D4 | C23 | 1 | 1 | yes | characteristic |
| 38 | #62874 | D4 | 1 | 16 | yes | complemented |
| 39 | #62863 | D4 | 1 | 32 | yes | complemented |
| 40 | #62862 | C23 | 1 | 16 | yes | — |
| 41 | #62832 | D4 | 1 | 8 | yes | complemented |
| 42 | #62824 | D4 | 1 | 8 | yes | complemented |
| 43 | #62820 | D4 | 1 | 16 | yes | complemented |
| 44 | #62817 | D4 | 1 | 16 | yes | complemented |
| 45 | C2×#3484 | D4 | 1 | 4 | yes | complemented |
| 46 | C2×#3484 | D4 | 1 | 4 | yes | complemented |
| 47 | C2×#3484 | D4 | 1 | 4 | yes | complemented |
| 48 | C2×#3484 | C23 | 1 | 4 | yes | — |
| 49 | C2×#3484 | C23 | 1 | 4 | yes | — |
| 50 | C2×#3484 | C23 | 1 | 4 | yes | — |
| 51 | C2×#3484 | C23 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×#3484 | C23 | 1 | 2 | yes | complemented |
| 53 | C22×#535 | C23 | 1 | 2 | yes | — |
| 54 | C22×#534 | C23 | 1 | 4 | yes | — |
| 55 | C22×#525 | D4 | 1 | 2 | yes | complemented |
| 56 | C23×#120 | D4 | 1 | 4 | yes | complemented |
| 57 | C22×#518 | D4 | 1 | 2 | yes | complemented |
| 58 | C22×#518 | D4 | 1 | 1 | yes | characteristic, complemented |
| 59 | C2×#3026 | C23 | 1 | 8 | yes | complemented |
| 60 | C2×#3019 | C23 | 1 | 4 | yes | complemented |
| 61 | #34171 | C23 | 1 | 2 | yes | complemented |
| 62 | #34171 | C23 | 1 | 1 | yes | characteristic, complemented |
| 63 | C2×#2127 | C23 | 1 | 16 | yes | complemented |
| 64 | C2×#2121 | C23 | 1 | 32 | yes | complemented |
| 65 | C2×#1913 | C23 | 1 | 8 | yes | complemented |
| 66 | C2×#1913 | C23 | 1 | 8 | yes | complemented |
| 67 | C2×#1911 | C23 | 1 | 8 | yes | complemented |
| 68 | #20960 | C23 | 1 | 8 | yes | complemented |
| 69 | #20953 | C23 | 1 | 4 | yes | complemented |
| 70 | C2×#1783 | C23 | 1 | 4 | yes | complemented |
| 71 | C2×#1783 | C23 | 1 | 2 | yes | complemented |
| 72 | C2×#1781 | C23 | 1 | 4 | yes | complemented |
| 73 | C2×#1781 | C23 | 1 | 4 | yes | complemented |
| 74 | C2×#1781 | C23 | 1 | 4 | yes | complemented |
| 75 | C27 | C2×D4 | 1 | 2 | yes | — |
| 76 | C22×H(5,𝔽2) | C2×D4 | 1 | 4 | yes | — |
| 77 | C22×H(5,𝔽2) | C2×D4 | 1 | 4 | yes | — |
| 78 | C22×H(5,𝔽2) | C2×D4 | 1 | 4 | yes | — |
| 79 | C22×H(5,𝔽2) | C24 | 1 | 1 | yes | characteristic |
| 80 | C23×#41 | C2×D4 | 1 | 2 | yes | — |
| 81 | C24×D4 | C2×D4 | 1 | 2 | yes | — |
| 82 | C24×D4 | C2×D4 | 1 | 2 | yes | — |
| 83 | C24×D4 | C2×D4 | 1 | 2 | yes | — |
| 84 | C24×D4 | C2×D4 | 1 | 4 | yes | — |
| 85 | C24×D4 | C2×D4 | 1 | 2 | yes | — |
| 86 | C24×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 87 | C24×D4 | C24 | 1 | 2 | yes | — |
| 88 | C24×D4 | C24 | 1 | 1 | yes | characteristic |
| 89 | C25×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | #3545 | C2×D4 | 1 | 32 | yes | — |
| 91 | #3543 | C2×D4 | 1 | 32 | yes | — |
| 92 | #3533 | C2×D4 | 1 | 64 | yes | — |
| 93 | #3532 | C2×D4 | 1 | 64 | yes | — |
| 94 | #3484 | C2×D4 | 1 | 16 | yes | — |
| 95 | #3484 | C2×D4 | 1 | 16 | yes | — |
| 96 | #3484 | C2×D4 | 1 | 16 | yes | — |
| 97 | #3484 | C2×D4 | 1 | 16 | yes | — |
| 98 | #3484 | C2×D4 | 1 | 16 | yes | — |
| 99 | #3484 | C2×D4 | 1 | 16 | yes | — |
| 100 | C2×#535 | C2×D4 | 1 | 8 | yes | — |
| 101 | C2×#535 | C2×D4 | 1 | 4 | yes | — |
| 102 | C2×#535 | C24 | 1 | 4 | yes | — |
| 103 | C2×#534 | C2×D4 | 1 | 16 | yes | — |
| 104 | C2×#534 | C2×D4 | 1 | 8 | yes | — |
| 105 | C2×#534 | C24 | 1 | 8 | yes | — |
| 106 | C22×#127 | C2×D4 | 1 | 4 | yes | — |
| 107 | C22×#124 | C2×D4 | 1 | 4 | yes | — |
| 108 | C2×#525 | C2×D4 | 1 | 8 | yes | — |
| 109 | C22×#123 | C2×D4 | 1 | 8 | yes | — |
| 110 | C22×#120 | C2×D4 | 1 | 8 | yes | — |
| 111 | C22×#120 | C2×D4 | 1 | 8 | yes | — |
| 112 | C22×#120 | C2×D4 | 1 | 8 | yes | — |
| 113 | C2×#518 | C2×D4 | 1 | 4 | yes | — |
| 114 | C2×#518 | C2×D4 | 1 | 4 | yes | — |
| 115 | C2×#518 | C2×D4 | 1 | 4 | yes | — |
| 116 | C2×#518 | C24 | 1 | 2 | yes | — |
| 117 | C2×#518 | C24 | 1 | 1 | yes | characteristic |
| 118 | C22×#117 | C2×D4 | 1 | 2 | yes | — |
| 119 | C23×C22⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 120 | C22×#100 | C24 | 1 | 4 | yes | — |
| 121 | C22×#99 | C24 | 1 | 8 | yes | — |
| 122 | C26 | #120 | 1 | 1 | yes | characteristic |
| 123 | C26 | #120 | 1 | 2 | yes | — |
| 124 | C26 | #120 | 1 | 2 | yes | — |
| 125 | C26 | #120 | 1 | 2 | yes | — |
| 126 | C26 | #120 | 1 | 4 | yes | complemented |
| 127 | C26 | C22×D4 | 1 | 2 | yes | — |
| 128 | C26 | C22×D4 | 1 | 2 | yes | — |
| 129 | C26 | C22×D4 | 1 | 2 | yes | — |
| 130 | C2×H(5,𝔽2) | #120 | 1 | 16 | yes | — |
| 131 | C2×H(5,𝔽2) | #120 | 1 | 16 | yes | complemented |
| 132 | C2×H(5,𝔽2) | #120 | 1 | 16 | yes | complemented |
| 133 | C22×#41 | #120 | 1 | 4 | yes | complemented |
| 134 | C22×#41 | C22×D4 | 1 | 4 | yes | — |
| 135 | C23×Q8 | #120 | 1 | 2 | yes | complemented |
| 136 | C23×D4 | #120 | 1 | 1 | yes | characteristic |
| 137 | C23×D4 | #120 | 1 | 1 | yes | characteristic |
| 138 | C23×D4 | #120 | 1 | 2 | yes | — |
| 139 | C23×D4 | #120 | 1 | 2 | yes | — |
| 140 | C23×D4 | #120 | 1 | 2 | yes | complemented |
| 141 | C23×D4 | #120 | 1 | 8 | yes | complemented |
| 142 | C23×D4 | C22×D4 | 1 | 2 | yes | — |
| 143 | C23×D4 | C22×D4 | 1 | 2 | yes | — |
| 144 | C23×D4 | C22×D4 | 1 | 2 | yes | — |
| 145 | C23×D4 | C22×D4 | 1 | 8 | yes | — |
| 146 | C23×D4 | C22×D4 | 1 | 8 | yes | — |
| 147 | C23×D4 | C22×D4 | 1 | 4 | yes | — |
| 148 | C23×D4 | C22×D4 | 1 | 8 | yes | — |
| 149 | C23×D4 | C22×D4 | 1 | 4 | yes | — |
| 150 | C23×D4 | C22×D4 | 1 | 2 | yes | — |
| 151 | C23×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 152 | C23×D4 | C25 | 1 | 1 | yes | characteristic |
| 153 | C24×C4 | #120 | 1 | 2 | yes | — |
| 154 | C24×C4 | #120 | 1 | 1 | yes | characteristic |
| 155 | C24×C4 | #120 | 1 | 4 | yes | complemented |
| 156 | C24×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 157 | C24×C4 | C22×D4 | 1 | 2 | yes | — |
| 158 | #563 | #120 | 1 | 32 | yes | complemented |
| 159 | H(3,𝔽4) | #120 | 1 | 32 | yes | complemented |
| 160 | #560 | #120 | 1 | 64 | yes | complemented |
| 161 | #559 | #120 | 1 | 32 | yes | complemented |
| 162 | #551 | #120 | 1 | 64 | yes | complemented |
| 163 | D42 | #120 | 1 | 32 | yes | complemented |
| 164 | #535 | C22×D4 | 1 | 32 | yes | — |
| 165 | #534 | C22×D4 | 1 | 32 | yes | — |
| 166 | #534 | C22×D4 | 1 | 32 | yes | — |
| 167 | C2×#127 | #120 | 1 | 8 | yes | complemented |
| 168 | C2×#127 | C22×D4 | 1 | 8 | yes | — |
| 169 | C2×#124 | #120 | 1 | 8 | yes | complemented |
| 170 | C2×#124 | C22×D4 | 1 | 8 | yes | — |
| 171 | #525 | #120 | 1 | 16 | yes | complemented |
| 172 | #525 | #120 | 1 | 16 | yes | complemented |
| 173 | C2×#123 | #120 | 1 | 16 | yes | complemented |
| 174 | C2×#123 | C22×D4 | 1 | 16 | yes | — |
| 175 | C2×#120 | #120 | 1 | 16 | yes | — |
| 176 | C2×#120 | #120 | 1 | 16 | yes | — |
| 177 | C2×#120 | #120 | 1 | 16 | yes | complemented |
| 178 | C2×#120 | #120 | 1 | 16 | yes | complemented |
| 179 | C2×#120 | #120 | 1 | 16 | yes | complemented |
| 180 | C2×#120 | C22×D4 | 1 | 16 | yes | — |
| 181 | #518 | #120 | 1 | 16 | yes | — |
| 182 | #518 | #120 | 1 | 16 | yes | complemented |
| 183 | #518 | #120 | 1 | 16 | yes | complemented |
| 184 | C2×#117 | #120 | 1 | 4 | yes | complemented |
| 185 | C2×#117 | C22×D4 | 1 | 4 | yes | — |
| 186 | C22×C22⋊C4 | #120 | 1 | 8 | yes | complemented |
| 187 | C22×C22⋊C4 | #120 | 1 | 8 | yes | complemented |
| 188 | C22×C22⋊C4 | C22×D4 | 1 | 8 | yes | — |
| 189 | C22×C42 | #120 | 1 | 4 | yes | complemented |
| 190 | C25 | C2×#120 | 1 | 4 | yes | — |
| 191 | C25 | C2×#120 | 1 | 4 | yes | — |
| 192 | C25 | C2×#120 | 1 | 4 | yes | — |
| 193 | C25 | C2×#120 | 1 | 4 | yes | — |
| 194 | C25 | C2×#120 | 1 | 4 | yes | — |
| 195 | C25 | C2×#120 | 1 | 4 | yes | — |
| 196 | C25 | C2×#120 | 1 | 8 | yes | — |
| 197 | C25 | C2×#120 | 1 | 1 | yes | characteristic |
| 198 | C25 | C2×#120 | 1 | 2 | yes | — |
| 199 | C25 | C2×#120 | 1 | 2 | yes | — |
| 200 | C25 | C2×#120 | 1 | 2 | yes | — |
| 201 | C25 | C2×#120 | 1 | 2 | yes | — |
| 202 | C25 | C23×D4 | 1 | 2 | yes | — |
| 203 | C2×#41 | C2×#120 | 1 | 16 | yes | — |
| 204 | C22×Q8 | C2×#120 | 1 | 4 | yes | — |
| 205 | C22×D4 | B(4,𝔽2) | 1 | 4 | yes | — |
| 206 | C22×D4 | C2×#120 | 1 | 8 | yes | — |
| 207 | C22×D4 | C2×#120 | 1 | 8 | yes | — |
| 208 | C22×D4 | C2×#120 | 1 | 16 | yes | — |
| 209 | C22×D4 | C2×#120 | 1 | 8 | yes | — |
| 210 | C22×D4 | C2×#120 | 1 | 16 | yes | — |
| 211 | C22×D4 | C2×#120 | 1 | 4 | yes | — |
| 212 | C22×D4 | C2×#120 | 1 | 8 | yes | — |
| 213 | C22×D4 | C2×#120 | 1 | 4 | yes | — |
| 214 | C22×D4 | C23×D4 | 1 | 8 | yes | — |
| 215 | C22×D4 | C23×D4 | 1 | 4 | yes | — |
| 216 | C23×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 217 | C23×C4 | C2×#120 | 1 | 8 | yes | — |
| 218 | C23×C4 | C2×#120 | 1 | 2 | yes | — |
| 219 | C23×C4 | C2×#120 | 1 | 2 | yes | — |
| 220 | C23×C4 | C2×#120 | 1 | 4 | yes | — |
| 221 | C23×C4 | C2×#120 | 1 | 4 | yes | — |
| 222 | C23×C4 | C2×#120 | 1 | 2 | yes | — |
| 223 | C23×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 224 | #127 | C2×#120 | 1 | 32 | yes | — |
| 225 | #124 | C2×#120 | 1 | 32 | yes | — |
| 226 | #123 | C2×#120 | 1 | 64 | yes | — |
| 227 | #120 | C2×#120 | 1 | 64 | yes | — |
| 228 | #117 | C2×#120 | 1 | 16 | yes | — |
| 229 | C2×C22⋊C4 | C2×#120 | 1 | 16 | yes | — |
| 230 | C2×C22⋊C4 | C2×#120 | 1 | 16 | yes | — |
| 231 | C2×C22⋊C4 | C2×#120 | 1 | 16 | yes | — |
| 232 | C2×C42 | C2×#120 | 1 | 8 | yes | — |
| 233 | C24 | #2846 | 1 | 16 | yes | — |
| 234 | C24 | #2846 | 1 | 1 | yes | characteristic |
| 235 | C24 | #2846 | 1 | 2 | yes | — |
| 236 | C24 | #2846 | 1 | 2 | yes | — |
| 237 | C24 | #2846 | 1 | 1 | yes | characteristic |
| 238 | C24 | #2846 | 1 | 4 | yes | — |
| 239 | C24 | #2846 | 1 | 4 | yes | — |
| 240 | C24 | #2846 | 1 | 4 | yes | — |
| 241 | C24 | C2×B(4,𝔽2) | 1 | 4 | yes | — |
| 242 | C24 | #3026 | 1 | 4 | yes | — |
| 243 | C24 | C22×#120 | 1 | 4 | yes | — |
| 244 | C24 | C22×#120 | 1 | 4 | yes | — |
| 245 | C24 | C22×#120 | 1 | 4 | yes | — |
| 246 | C24 | C22×#120 | 1 | 1 | yes | characteristic |
| 247 | C2×Q8 | #2846 | 1 | 8 | yes | — |
| 248 | C2×D4 | #2846 | 1 | 8 | yes | — |
| 249 | C2×D4 | C22×#120 | 1 | 16 | yes | — |
| 250 | C22×C4 | #2846 | 1 | 2 | yes | — |
| 251 | C22×C4 | #2846 | 1 | 16 | yes | — |
| 252 | C22×C4 | #2846 | 1 | 4 | yes | — |
| 253 | C22×C4 | C2×B(4,𝔽2) | 1 | 2 | yes | — |
| 254 | C22×C4 | #3026 | 1 | 2 | yes | — |
| 255 | C22×C4 | C22×#120 | 1 | 2 | yes | — |
| 256 | C22×C4 | C22×#120 | 1 | 4 | yes | — |
| 257 | C22⋊C4 | #2846 | 1 | 32 | yes | — |
| 258 | C42 | #2846 | 1 | 16 | yes | — |
| 259 | C23 | #32898 | 1 | 8 | yes | — |
| 260 | C23 | C2×#2846 | 1 | 1 | yes | characteristic |
| 261 | C23 | C2×#2846 | 1 | 2 | yes | — |
| 262 | C23 | C2×#2846 | 1 | 8 | yes | — |
| 263 | C23 | C22×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 264 | C23 | C2×#3026 | 1 | 1 | yes | characteristic |
| 265 | C23 | C2×#3026 | 1 | 2 | yes | — |
| 266 | C2×C4 | #32898 | 1 | 4 | yes | — |
| 267 | C2×C4 | C2×#2846 | 1 | 4 | yes | — |
| 268 | C22 | #6342371 | 1 | 1 | yes | characteristic |
| 269 | C22 | C2×#32898 | 1 | 1 | yes | characteristic |
| 270 | C22 | C2×#32898 | 1 | 2 | yes | — |
| 271 | C22 | #6628892 | 1 | 2 | yes | — |
| 272 | C22 | #6628892 | 1 | 1 | yes | characteristic |
| 273 | C2 | #72219118 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta