| 1 | #72267427 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | C2×#133390 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72241252 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#133290 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#133278 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72236754 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#7670203 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #72218789 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C2×#133822 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #7670203 | C4 | 1 | 8 | yes | complemented |
| 11 | C2×#58990 | C22 | 1 | 4 | yes | — |
| 12 | C22×#2846 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#35390 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#35346 | C22 | 1 | 1 | yes | characteristic |
| 15 | C22×#1889 | C22 | 1 | 2 | yes | complemented |
| 16 | #515285 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C2×#13088 | C22 | 1 | 4 | yes | complemented |
| 18 | C2×#13086 | C22 | 1 | 4 | yes | complemented |
| 19 | C2×#12687 | C22 | 1 | 4 | yes | complemented |
| 20 | #392658 | C22 | 1 | 2 | yes | complemented |
| 21 | #392650 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×#10991 | C22 | 1 | 2 | yes | complemented |
| 23 | C2×#10965 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#9495 | C22 | 1 | 2 | yes | complemented |
| 25 | C2×#9463 | C22 | 1 | 2 | yes | complemented |
| 26 | C2×#8547 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×#8541 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C28 | D4 | 1 | 1 | yes | characteristic |
| 29 | C23×H(5,𝔽2) | D4 | 1 | 1 | yes | characteristic |
| 30 | C22×D42 | D4 | 1 | 4 | yes | — |
| 31 | C22×#534 | D4 | 1 | 1 | yes | characteristic |
| 32 | C23×#120 | C23 | 1 | 2 | yes | — |
| 33 | C23×#120 | C23 | 1 | 1 | yes | characteristic |
| 34 | C22×#518 | C23 | 1 | 1 | yes | characteristic, complemented |
| 35 | C23×#99 | C23 | 1 | 2 | yes | complemented |
| 36 | #58990 | C2×C4 | 1 | 16 | yes | — |
| 37 | #58990 | D4 | 1 | 16 | yes | — |
| 38 | C2×#2679 | D4 | 1 | 4 | yes | — |
| 39 | C2×#2669 | D4 | 1 | 4 | yes | — |
| 40 | C2×#2846 | C2×C4 | 1 | 4 | yes | — |
| 41 | C2×#2846 | D4 | 1 | 4 | yes | — |
| 42 | #35390 | C2×C4 | 1 | 4 | yes | — |
| 43 | #35390 | D4 | 1 | 4 | yes | — |
| 44 | #35346 | C2×C4 | 1 | 4 | yes | — |
| 45 | #35346 | D4 | 1 | 4 | yes | — |
| 46 | C2×#2539 | D4 | 1 | 2 | yes | — |
| 47 | C2×#2433 | C23 | 1 | 2 | yes | — |
| 48 | C2×#2403 | D4 | 1 | 2 | yes | — |
| 49 | C2×#2403 | C23 | 1 | 2 | yes | — |
| 50 | C2×#2358 | D4 | 1 | 4 | yes | — |
| 51 | C2×#2308 | D4 | 1 | 1 | yes | characteristic |
| 52 | C2×#2308 | C23 | 1 | 1 | yes | characteristic, complemented |
| 53 | C22×#379 | D4 | 1 | 2 | yes | — |
| 54 | C22×#379 | D4 | 1 | 1 | yes | characteristic |
| 55 | C2×#2273 | D4 | 1 | 1 | yes | characteristic |
| 56 | C2×#1783 | C23 | 1 | 2 | yes | complemented |
| 57 | C2×#1781 | C23 | 1 | 2 | yes | complemented |
| 58 | C27 | C22⋊C4 | 1 | 4 | yes | complemented |
| 59 | C27 | C2×D4 | 1 | 2 | yes | — |
| 60 | C27 | C2×D4 | 1 | 1 | yes | characteristic |
| 61 | C22×H(5,𝔽2) | C22⋊C4 | 1 | 4 | yes | complemented |
| 62 | C24×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 63 | C24×D4 | C2×D4 | 1 | 2 | yes | — |
| 64 | C24×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 65 | C24×D4 | C24 | 1 | 1 | yes | characteristic |
| 66 | C2×D42 | C22⋊C4 | 1 | 16 | yes | complemented |
| 67 | C2×#534 | C22⋊C4 | 1 | 4 | yes | complemented |
| 68 | C22×#127 | C2×D4 | 1 | 4 | yes | — |
| 69 | C22×#121 | C2×D4 | 1 | 2 | yes | — |
| 70 | C22×#120 | C22×C4 | 1 | 4 | yes | — |
| 71 | C22×#120 | C22×C4 | 1 | 2 | yes | — |
| 72 | C22×#120 | C2×D4 | 1 | 4 | yes | — |
| 73 | C22×#120 | C2×D4 | 1 | 4 | yes | — |
| 74 | C22×#120 | C2×D4 | 1 | 4 | yes | — |
| 75 | C22×#120 | C2×D4 | 1 | 4 | yes | — |
| 76 | C22×#120 | C2×D4 | 1 | 8 | yes | — |
| 77 | C22×#120 | C2×D4 | 1 | 2 | yes | — |
| 78 | C22×#120 | C2×D4 | 1 | 2 | yes | — |
| 79 | C22×#120 | C2×D4 | 1 | 2 | yes | — |
| 80 | C23×C22⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 81 | C23×C22⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 82 | C23×C22⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 83 | C23×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 84 | #2679 | C22⋊C4 | 1 | 16 | yes | complemented |
| 85 | #2669 | C22⋊C4 | 1 | 16 | yes | complemented |
| 86 | #2539 | C22⋊C4 | 1 | 8 | yes | complemented |
| 87 | #2433 | C22×C4 | 1 | 4 | yes | — |
| 88 | #2433 | C2×D4 | 1 | 4 | yes | — |
| 89 | #2433 | C2×D4 | 1 | 8 | yes | — |
| 90 | #2403 | C22⋊C4 | 1 | 8 | yes | complemented |
| 91 | #2403 | C22×C4 | 1 | 4 | yes | — |
| 92 | #2403 | C2×D4 | 1 | 8 | yes | — |
| 93 | #2403 | C2×D4 | 1 | 4 | yes | — |
| 94 | #2358 | C22⋊C4 | 1 | 16 | yes | complemented |
| 95 | #2308 | C22⋊C4 | 1 | 4 | yes | complemented |
| 96 | C2×#390 | C2×D4 | 1 | 4 | yes | — |
| 97 | C2×#386 | C2×D4 | 1 | 4 | yes | — |
| 98 | C2×#379 | C22⋊C4 | 1 | 4 | yes | complemented |
| 99 | C2×#379 | C22⋊C4 | 1 | 8 | yes | complemented |
| 100 | C2×#379 | C2×D4 | 1 | 2 | yes | — |
| 101 | #2273 | C22⋊C4 | 1 | 4 | yes | complemented |
| 102 | C2×C4×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 103 | C26 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 104 | C26 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 105 | C26 | #120 | 1 | 1 | yes | characteristic |
| 106 | C26 | #120 | 1 | 1 | yes | characteristic |
| 107 | C26 | #120 | 1 | 2 | yes | — |
| 108 | C26 | #120 | 1 | 2 | yes | — |
| 109 | C26 | #120 | 1 | 4 | yes | — |
| 110 | C26 | #120 | 1 | 2 | yes | — |
| 111 | C26 | #120 | 1 | 2 | yes | — |
| 112 | C26 | C22×D4 | 1 | 1 | yes | characteristic |
| 113 | C26 | C22×D4 | 1 | 1 | yes | characteristic |
| 114 | C23×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 115 | C23×D4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 116 | C23×D4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 117 | C23×D4 | #120 | 1 | 2 | yes | — |
| 118 | C23×D4 | #120 | 1 | 2 | yes | — |
| 119 | C23×D4 | #120 | 1 | 2 | yes | — |
| 120 | C23×D4 | #120 | 1 | 4 | yes | — |
| 121 | C23×D4 | C23×C4 | 1 | 1 | yes | characteristic |
| 122 | C23×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 123 | C23×D4 | C22×D4 | 1 | 4 | yes | — |
| 124 | C23×D4 | C22×D4 | 1 | 4 | yes | — |
| 125 | C23×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 126 | C23×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 127 | C24×C4 | #120 | 1 | 1 | yes | characteristic |
| 128 | C24×C4 | #120 | 1 | 1 | yes | characteristic |
| 129 | C24×C4 | #120 | 1 | 2 | yes | — |
| 130 | C24×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 131 | C2×#127 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 132 | C2×#127 | #120 | 1 | 8 | yes | — |
| 133 | C2×#121 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 134 | C2×#121 | #120 | 1 | 4 | yes | — |
| 135 | C2×#120 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 136 | C2×#120 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 137 | C2×#120 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 138 | C2×#120 | #120 | 1 | 8 | yes | — |
| 139 | C2×#120 | #120 | 1 | 8 | yes | — |
| 140 | C2×#120 | #120 | 1 | 8 | yes | — |
| 141 | C22×C4⋊C4 | #120 | 1 | 2 | yes | — |
| 142 | C22×C22⋊C4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 143 | C22×C22⋊C4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 144 | C22×C22⋊C4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 145 | C22×C22⋊C4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 146 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 147 | C22×C22⋊C4 | #120 | 1 | 2 | yes | — |
| 148 | C22×C22⋊C4 | #120 | 1 | 2 | yes | — |
| 149 | C22×C22⋊C4 | #120 | 1 | 2 | yes | — |
| 150 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 151 | C22×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 152 | C22×C42 | #120 | 1 | 4 | yes | — |
| 153 | #390 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 154 | #390 | #120 | 1 | 8 | yes | — |
| 155 | #386 | C2×C22⋊C4 | 1 | 8 | yes | — |
| 156 | #386 | #120 | 1 | 8 | yes | — |
| 157 | #379 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 158 | #379 | #120 | 1 | 4 | yes | — |
| 159 | C4×C22⋊C4 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 160 | C4×C22⋊C4 | #120 | 1 | 4 | yes | — |
| 161 | C25 | #379 | 1 | 2 | yes | — |
| 162 | C25 | #379 | 1 | 2 | yes | — |
| 163 | C25 | #379 | 1 | 4 | yes | — |
| 164 | C25 | #379 | 1 | 4 | yes | — |
| 165 | C25 | #379 | 1 | 4 | yes | complemented |
| 166 | C25 | B(4,𝔽2) | 1 | 2 | yes | — |
| 167 | C25 | B(4,𝔽2) | 1 | 4 | yes | — |
| 168 | C25 | #458 | 1 | 2 | yes | — |
| 169 | C25 | #458 | 1 | 4 | yes | — |
| 170 | C25 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 171 | C25 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 172 | C25 | C2×#120 | 1 | 2 | yes | — |
| 173 | C25 | C2×#120 | 1 | 1 | yes | characteristic |
| 174 | C25 | C2×#120 | 1 | 2 | yes | — |
| 175 | C25 | C2×#120 | 1 | 2 | yes | — |
| 176 | C25 | C2×#120 | 1 | 2 | yes | — |
| 177 | C25 | C2×#120 | 1 | 1 | yes | characteristic |
| 178 | C25 | C2×#120 | 1 | 1 | yes | characteristic |
| 179 | C22×D4 | #379 | 1 | 4 | yes | complemented |
| 180 | C22×D4 | C22×C22⋊C4 | 1 | 4 | yes | — |
| 181 | C22×D4 | C2×#120 | 1 | 4 | yes | — |
| 182 | C22×D4 | C2×#120 | 1 | 4 | yes | — |
| 183 | C22×D4 | C2×#120 | 1 | 4 | yes | — |
| 184 | C23×C4 | #379 | 1 | 2 | yes | — |
| 185 | C23×C4 | #379 | 1 | 2 | yes | — |
| 186 | C23×C4 | #379 | 1 | 4 | yes | complemented |
| 187 | C23×C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 188 | C23×C4 | C2×#120 | 1 | 2 | yes | — |
| 189 | C23×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 190 | C23×C4 | C2×#120 | 1 | 2 | yes | — |
| 191 | C2×C4⋊C4 | #379 | 1 | 4 | yes | complemented |
| 192 | C2×C22⋊C4 | #379 | 1 | 8 | yes | — |
| 193 | C2×C22⋊C4 | #379 | 1 | 8 | yes | complemented |
| 194 | C2×C42 | #379 | 1 | 8 | yes | complemented |
| 195 | C24 | #1790 | 1 | 4 | yes | — |
| 196 | C24 | #1790 | 1 | 8 | yes | complemented |
| 197 | C24 | #2196 | 1 | 8 | yes | — |
| 198 | C24 | C2×#379 | 1 | 1 | yes | characteristic |
| 199 | C24 | C2×#379 | 1 | 2 | yes | — |
| 200 | C24 | C2×#379 | 1 | 2 | yes | — |
| 201 | C24 | #2846 | 1 | 1 | yes | characteristic |
| 202 | C24 | #2846 | 1 | 1 | yes | characteristic |
| 203 | C24 | #2846 | 1 | 2 | yes | — |
| 204 | C24 | #2846 | 1 | 2 | yes | — |
| 205 | C24 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 206 | C24 | C2×B(4,𝔽2) | 1 | 2 | yes | — |
| 207 | C24 | C2×#458 | 1 | 1 | yes | characteristic |
| 208 | C24 | C2×#458 | 1 | 2 | yes | — |
| 209 | C24 | #3026 | 1 | 1 | yes | characteristic |
| 210 | C24 | #3026 | 1 | 1 | yes | characteristic |
| 211 | C24 | #3026 | 1 | 2 | yes | — |
| 212 | C24 | #3026 | 1 | 2 | yes | — |
| 213 | C22×C4 | C2×#379 | 1 | 2 | yes | — |
| 214 | C22×C4 | #2846 | 1 | 2 | yes | — |
| 215 | C23 | #12759 | 1 | 8 | yes | complemented |
| 216 | C23 | #14679 | 1 | 1 | yes | characteristic |
| 217 | C23 | C2×#1790 | 1 | 1 | yes | characteristic |
| 218 | C23 | C2×#1790 | 1 | 2 | yes | — |
| 219 | C23 | #20609 | 1 | 1 | yes | characteristic |
| 220 | C23 | #20609 | 1 | 2 | yes | — |
| 221 | C23 | #32898 | 1 | 1 | yes | characteristic |
| 222 | C23 | #32898 | 1 | 2 | yes | — |
| 223 | C23 | #32898 | 1 | 2 | yes | — |
| 224 | C23 | #32898 | 1 | 1 | yes | characteristic |
| 225 | C23 | #32900 | 1 | 1 | yes | characteristic |
| 226 | C23 | #32900 | 1 | 1 | yes | characteristic |
| 227 | C23 | #32900 | 1 | 2 | yes | — |
| 228 | C23 | #32900 | 1 | 2 | yes | — |
| 229 | C23 | C2×#2196 | 1 | 4 | yes | — |
| 230 | C22 | #347042 | 1 | 1 | yes | characteristic |
| 231 | C22 | #347048 | 1 | 2 | yes | — |
| 232 | C22 | #347048 | 1 | 1 | yes | characteristic |
| 233 | C22 | #392125 | 1 | 2 | yes | — |
| 234 | C22 | #392125 | 1 | 1 | yes | characteristic |
| 235 | C22 | C2×#12759 | 1 | 2 | yes | — |
| 236 | C22 | #511771 | 1 | 2 | yes | — |
| 237 | C22 | #511771 | 1 | 2 | yes | — |
| 238 | C22 | #511790 | 1 | 2 | yes | — |
| 239 | C2 | #72215683 | 1 | 2 | yes | — |
| 240 | C2 | #72218475 | 1 | 1 | yes | characteristic |
| 241 | C2 | #72219045 | 1 | 1 | yes | characteristic |
| 242 | C2 | #72231692 | 1 | 1 | yes | characteristic |
| 243 | C2 | #72267453 | 1 | 2 | yes | — |
Finite Group Databasebeta