| 1 | #72341286 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72311315 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72306419 | C2 | 1 | 6 | yes | maximal, complemented |
| 4 | #72285407 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #72241337 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72241315 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #72241301 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72238014 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72213504 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | #72210035 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72210025 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | H(9,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 13 | #10586097 | C22 | 1 | 1 | yes | characteristic |
| 14 | #10574841 | C22 | 1 | 6 | yes | — |
| 15 | C2×#60388 | C22 | 1 | 6 | yes | — |
| 16 | #10574064 | C22 | 1 | 1 | yes | characteristic |
| 17 | #7743195 | C22 | 1 | 3 | yes | complemented |
| 18 | C22×#2200 | C22 | 1 | 4 | yes | complemented |
| 19 | #6628897 | C22 | 1 | 1 | yes | characteristic |
| 20 | #6628897 | C22 | 1 | 6 | yes | complemented |
| 21 | #6628896 | C22 | 1 | 1 | yes | characteristic |
| 22 | #6628896 | C22 | 1 | 6 | yes | complemented |
| 23 | #6470235 | C22 | 1 | 3 | yes | complemented |
| 24 | #6470234 | C22 | 1 | 3 | yes | complemented |
| 25 | #6385980 | C22 | 1 | 3 | yes | complemented |
| 26 | #498928 | C22 | 1 | 12 | yes | complemented |
| 27 | #498927 | C22 | 1 | 12 | yes | complemented |
| 28 | #494682 | C22 | 1 | 6 | yes | complemented |
| 29 | #494681 | C22 | 1 | 6 | yes | complemented |
| 30 | #494596 | C22 | 1 | 12 | yes | complemented |
| 31 | #493430 | C22 | 1 | 6 | yes | complemented |
| 32 | #493397 | C22 | 1 | 6 | yes | complemented |
| 33 | #392135 | C22 | 1 | 1 | yes | characteristic |
| 34 | #392135 | C22 | 1 | 1 | yes | characteristic |
| 35 | #392135 | C22 | 1 | 6 | yes | complemented |
| 36 | #392135 | C22 | 1 | 6 | yes | complemented |
| 37 | #147767 | C22 | 1 | 24 | yes | complemented |
| 38 | #146577 | C22 | 1 | 6 | yes | complemented |
| 39 | #146577 | C22 | 1 | 6 | yes | complemented |
| 40 | C2×H(7,𝔽2) | D4 | 1 | 1 | yes | characteristic, complemented |
| 41 | C2×H(7,𝔽2) | C23 | 1 | 6 | yes | — |
| 42 | C2×H(7,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 43 | #62852 | D4 | 1 | 3 | yes | complemented |
| 44 | #62852 | C23 | 1 | 3 | yes | — |
| 45 | #62812 | D4 | 1 | 3 | yes | complemented |
| 46 | C2×#3498 | C23 | 1 | 3 | yes | — |
| 47 | C22×#560 | C23 | 1 | 1 | yes | characteristic, complemented |
| 48 | C4×#585 | D4 | 1 | 1 | yes | characteristic, complemented |
| 49 | C22×#458 | D4 | 1 | 4 | yes | complemented |
| 50 | C22×#458 | C23 | 1 | 4 | yes | complemented |
| 51 | C22×B(4,𝔽2) | D4 | 1 | 4 | yes | — |
| 52 | C22×B(4,𝔽2) | C23 | 1 | 4 | yes | complemented |
| 53 | C2×#3021 | D4 | 1 | 12 | yes | complemented |
| 54 | C2×#3019 | D4 | 1 | 12 | yes | complemented |
| 55 | C2×#3019 | C23 | 1 | 12 | yes | — |
| 56 | C2×#3018 | D4 | 1 | 12 | yes | complemented |
| 57 | C22×#453 | D4 | 1 | 12 | yes | complemented |
| 58 | C22×#453 | C23 | 1 | 4 | yes | — |
| 59 | C2×#2888 | C23 | 1 | 6 | yes | — |
| 60 | #36955 | C23 | 1 | 3 | yes | complemented |
| 61 | #36702 | C23 | 1 | 3 | yes | complemented |
| 62 | #35446 | C23 | 1 | 3 | yes | — |
| 63 | #35346 | C23 | 1 | 3 | yes | — |
| 64 | #34364 | C23 | 1 | 3 | yes | complemented |
| 65 | C2×#2127 | C23 | 1 | 12 | yes | complemented |
| 66 | C22×#353 | C23 | 1 | 4 | yes | complemented |
| 67 | C22×#352 | C23 | 1 | 4 | yes | complemented |
| 68 | C22×AΣL(1,𝔽16) | C23 | 1 | 4 | yes | complemented |
| 69 | #21750 | C23 | 1 | 6 | yes | complemented |
| 70 | #20609 | D4 | 1 | 4 | yes | — |
| 71 | #20609 | D4 | 1 | 4 | yes | complemented |
| 72 | #20609 | C23 | 1 | 12 | yes | complemented |
| 73 | #20609 | C23 | 1 | 12 | yes | complemented |
| 74 | #20585 | C23 | 1 | 3 | yes | — |
| 75 | #20585 | C23 | 1 | 3 | yes | — |
| 76 | #20585 | C23 | 1 | 6 | yes | — |
| 77 | #20585 | C23 | 1 | 6 | yes | — |
| 78 | #12574 | C23 | 1 | 12 | yes | complemented |
| 79 | #12574 | C23 | 1 | 12 | yes | complemented |
| 80 | C2×#585 | C2×D4 | 1 | 3 | yes | — |
| 81 | C2×#585 | C2×D4 | 1 | 3 | yes | — |
| 82 | C2×#585 | C2×D4 | 1 | 1 | yes | characteristic |
| 83 | C2×#585 | C2×D4 | 1 | 12 | yes | — |
| 84 | C22×H(5,𝔽2) | C2×D4 | 1 | 3 | yes | — |
| 85 | C22×H(5,𝔽2) | C2×D4 | 1 | 4 | yes | — |
| 86 | C22×H(5,𝔽2) | C2×D4 | 1 | 4 | yes | — |
| 87 | C22×H(5,𝔽2) | C2×D4 | 1 | 12 | yes | — |
| 88 | C22×H(5,𝔽2) | C24 | 1 | 3 | yes | — |
| 89 | C22×H(5,𝔽2) | C24 | 1 | 4 | yes | — |
| 90 | #3449 | C2×D4 | 1 | 6 | yes | — |
| 91 | C2×#535 | C2×D4 | 1 | 6 | yes | — |
| 92 | C2×#535 | C2×D4 | 1 | 6 | yes | — |
| 93 | C2×#535 | C2×D4 | 1 | 3 | yes | — |
| 94 | C2×#535 | C24 | 1 | 3 | yes | — |
| 95 | C2×#532 | C2×D4 | 1 | 3 | yes | — |
| 96 | C2×#532 | C2×D4 | 1 | 6 | yes | — |
| 97 | C22×#127 | C2×D4 | 1 | 6 | yes | — |
| 98 | C22×#127 | C24 | 1 | 1 | yes | characteristic |
| 99 | C22×#123 | C2×D4 | 1 | 6 | yes | — |
| 100 | C22×#123 | C24 | 1 | 1 | yes | characteristic |
| 101 | C22×#120 | C2×D4 | 1 | 6 | yes | — |
| 102 | C22×#120 | C24 | 1 | 1 | yes | characteristic |
| 103 | #3428 | C2×D4 | 1 | 3 | yes | — |
| 104 | C2×C4×#41 | C2×D4 | 1 | 3 | yes | — |
| 105 | C2×#455 | C2×D4 | 1 | 24 | yes | — |
| 106 | C2×#453 | C2×D4 | 1 | 24 | yes | — |
| 107 | C2×#453 | C2×D4 | 1 | 24 | yes | — |
| 108 | C2×#453 | C2×D4 | 1 | 24 | yes | — |
| 109 | C2×#413 | C2×D4 | 1 | 12 | yes | — |
| 110 | C22×#100 | C2×D4 | 1 | 12 | yes | — |
| 111 | C22×#100 | C24 | 1 | 4 | yes | — |
| 112 | C22×#99 | C2×D4 | 1 | 12 | yes | — |
| 113 | C22×#99 | C2×D4 | 1 | 12 | yes | — |
| 114 | C22×#99 | C24 | 1 | 4 | yes | — |
| 115 | C22×#99 | C24 | 1 | 4 | yes | — |
| 116 | #2308 | C2×D4 | 1 | 6 | yes | — |
| 117 | #2308 | C2×D4 | 1 | 6 | yes | — |
| 118 | #2308 | C24 | 1 | 3 | yes | — |
| 119 | #2308 | C24 | 1 | 3 | yes | — |
| 120 | C26 | C22×D4 | 1 | 1 | yes | characteristic |
| 121 | C2×H(5,𝔽2) | #120 | 1 | 12 | yes | — |
| 122 | C2×H(5,𝔽2) | #120 | 1 | 4 | yes | — |
| 123 | C2×H(5,𝔽2) | C22×D4 | 1 | 24 | yes | — |
| 124 | C22×#41 | #120 | 1 | 6 | yes | complemented |
| 125 | C22×#41 | C22×D4 | 1 | 3 | yes | — |
| 126 | C22×#41 | C22×D4 | 1 | 6 | yes | — |
| 127 | C22×#41 | C22×D4 | 1 | 3 | yes | — |
| 128 | C22×#41 | C22×D4 | 1 | 3 | yes | — |
| 129 | C22×#41 | H(5,𝔽2) | 1 | 6 | yes | — |
| 130 | C23×D4 | #120 | 1 | 6 | yes | complemented |
| 131 | C23×D4 | C22×D4 | 1 | 6 | yes | — |
| 132 | C23×D4 | C22×D4 | 1 | 6 | yes | — |
| 133 | C23×D4 | C22×D4 | 1 | 6 | yes | — |
| 134 | C23×D4 | C22×D4 | 1 | 1 | yes | characteristic |
| 135 | C23×D4 | H(5,𝔽2) | 1 | 6 | yes | — |
| 136 | C23×D4 | C25 | 1 | 1 | yes | characteristic |
| 137 | C24×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 138 | C2×C4⋊Q8 | #120 | 1 | 3 | yes | complemented |
| 139 | C2×#127 | #120 | 1 | 3 | yes | complemented |
| 140 | C2×#127 | #120 | 1 | 6 | yes | complemented |
| 141 | C2×#127 | C22×D4 | 1 | 6 | yes | — |
| 142 | C2×#127 | C22×D4 | 1 | 6 | yes | — |
| 143 | C2×#127 | C22×D4 | 1 | 6 | yes | — |
| 144 | C2×#124 | #120 | 1 | 3 | yes | complemented |
| 145 | C2×#124 | #120 | 1 | 3 | yes | complemented |
| 146 | C2×#124 | #120 | 1 | 6 | yes | complemented |
| 147 | C2×#124 | C22×D4 | 1 | 6 | yes | — |
| 148 | C2×#117 | #120 | 1 | 6 | yes | complemented |
| 149 | C2×#117 | C22×D4 | 1 | 3 | yes | — |
| 150 | C22×C22⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 151 | C22×C22⋊C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 152 | C22×C22⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 153 | C22×C22⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 154 | C22×C42 | #120 | 1 | 6 | yes | complemented |
| 155 | C22×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 156 | #453 | #120 | 1 | 16 | yes | complemented |
| 157 | #453 | #120 | 1 | 48 | yes | complemented |
| 158 | C2×#100 | C22×D4 | 1 | 24 | yes | — |
| 159 | C25 | D42 | 1 | 6 | yes | — |
| 160 | C25 | D42 | 1 | 6 | yes | — |
| 161 | C25 | C23×D4 | 1 | 1 | yes | characteristic |
| 162 | C25 | C23×D4 | 1 | 1 | yes | characteristic |
| 163 | H(5,𝔽2) | B(4,𝔽2) | 1 | 16 | yes | — |
| 164 | H(5,𝔽2) | C2×#120 | 1 | 16 | yes | — |
| 165 | C22×Q8 | C2×#120 | 1 | 3 | yes | — |
| 166 | C22×Q8 | C2×#120 | 1 | 3 | yes | — |
| 167 | C22×Q8 | #534 | 1 | 3 | yes | — |
| 168 | C22×D4 | C2×#120 | 1 | 6 | yes | — |
| 169 | C22×D4 | C2×#120 | 1 | 6 | yes | — |
| 170 | C22×D4 | C2×#120 | 1 | 3 | yes | — |
| 171 | C22×D4 | C2×#120 | 1 | 6 | yes | — |
| 172 | C22×D4 | C2×#120 | 1 | 3 | yes | — |
| 173 | C22×D4 | #534 | 1 | 3 | yes | — |
| 174 | C22×D4 | D42 | 1 | 6 | yes | — |
| 175 | C22×D4 | D42 | 1 | 6 | yes | — |
| 176 | C22×D4 | D42 | 1 | 6 | yes | — |
| 177 | C22×D4 | D42 | 1 | 6 | yes | — |
| 178 | C22×D4 | C23×D4 | 1 | 6 | yes | — |
| 179 | C22×D4 | C2×H(5,𝔽2) | 1 | 6 | yes | — |
| 180 | C23×C4 | C2×#120 | 1 | 6 | yes | — |
| 181 | C23×C4 | #534 | 1 | 6 | yes | — |
| 182 | C23×C4 | D42 | 1 | 6 | yes | — |
| 183 | C23×C4 | D42 | 1 | 6 | yes | — |
| 184 | C23×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 185 | #127 | C2×#120 | 1 | 4 | yes | — |
| 186 | #127 | C2×#120 | 1 | 12 | yes | — |
| 187 | C2×C42 | C2×#120 | 1 | 3 | yes | — |
| 188 | C2×C42 | C2×#120 | 1 | 3 | yes | — |
| 189 | C2×C42 | C2×#120 | 1 | 6 | yes | — |
| 190 | #100 | C2×#120 | 1 | 16 | yes | — |
| 191 | C24 | #2403 | 1 | 6 | yes | — |
| 192 | C24 | #2403 | 1 | 6 | yes | — |
| 193 | C24 | C22×#120 | 1 | 1 | yes | characteristic |
| 194 | C24 | C2×D42 | 1 | 6 | yes | — |
| 195 | C24 | C2×D42 | 1 | 6 | yes | — |
| 196 | C2×D4 | #2846 | 1 | 4 | yes | — |
| 197 | C2×D4 | C2×B(4,𝔽2) | 1 | 24 | yes | — |
| 198 | C2×D4 | C22×#120 | 1 | 4 | yes | — |
| 199 | C2×D4 | #3484 | 1 | 12 | yes | — |
| 200 | C22×C4 | #2403 | 1 | 6 | yes | — |
| 201 | C22×C4 | #2403 | 1 | 6 | yes | — |
| 202 | C22×C4 | C22×#120 | 1 | 3 | yes | — |
| 203 | C22×C4 | C2×#534 | 1 | 3 | yes | — |
| 204 | C42 | #2846 | 1 | 3 | yes | — |
| 205 | C42 | #2846 | 1 | 1 | yes | characteristic |
| 206 | C23 | #23900 | 1 | 12 | yes | — |
| 207 | C23 | C2×#2403 | 1 | 3 | yes | — |
| 208 | C23 | D4×#120 | 1 | 4 | yes | — |
| 209 | C23 | D4×#120 | 1 | 4 | yes | — |
| 210 | C23 | C22×B(4,𝔽2) | 1 | 4 | yes | — |
| 211 | C2×C4 | #23900 | 1 | 12 | yes | — |
| 212 | C2×C4 | #34980 | 1 | 3 | yes | — |
| 213 | C2×C4 | C2×#2846 | 1 | 1 | yes | characteristic |
| 214 | C22 | #612424 | 1 | 1 | yes | characteristic |
| 215 | C22 | C2×#23900 | 1 | 6 | yes | — |
| 216 | C2 | #72215858 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta