| 1 | Dic3×H(5,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#5835 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #85886 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#2897 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #83797 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | Dic3×#131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #82562 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #78915 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #78914 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #78868 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #78866 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #78820 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | #78818 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | #78726 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | C2×#4756 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | C4×#576 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C2×C3×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#1009 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C3×#131 | C22 | 1 | 1 | yes | characteristic |
| 20 | C3×#520 | C22 | 1 | 1 | yes | characteristic |
| 21 | #5835 | C4 | 1 | 16 | yes | complemented |
| 22 | #5827 | — | 2 | 1 | no | — |
| 23 | #5827 | C22 | 1 | 1 | yes | characteristic |
| 24 | #5827 | C22 | 1 | 3 | yes | complemented |
| 25 | Dic3×#41 | — | 2 | 1 | no | — |
| 26 | Dic3×#41 | C22 | 1 | 1 | yes | characteristic |
| 27 | Dic3×#41 | C22 | 1 | 3 | yes | complemented |
| 28 | C2×#950 | C22 | 1 | 3 | yes | — |
| 29 | C2×#949 | C22 | 1 | 3 | yes | — |
| 30 | C2×#948 | C22 | 1 | 1 | yes | characteristic |
| 31 | #5798 | — | 2 | 3 | no | — |
| 32 | #5798 | C22 | 1 | 3 | yes | complemented |
| 33 | C2×D4×Dic3 | — | 2 | 3 | no | — |
| 34 | C2×D4×Dic3 | C22 | 1 | 3 | yes | complemented |
| 35 | C2×#932 | C22 | 1 | 3 | yes | — |
| 36 | C22×#213 | C22 | 1 | 3 | yes | — |
| 37 | #5574 | — | 2 | 1 | no | — |
| 38 | C4×#239 | — | 2 | 1 | no | — |
| 39 | #5545 | — | 2 | 3 | no | — |
| 40 | C4×D3×D4 | — | 2 | 3 | no | — |
| 41 | #5522 | C22 | 1 | 3 | yes | complemented |
| 42 | #5521 | C22 | 1 | 3 | yes | complemented |
| 43 | #5504 | C22 | 1 | 3 | yes | complemented |
| 44 | C2×#893 | C22 | 1 | 3 | yes | complemented |
| 45 | C3×#418 | C22 | 1 | 3 | yes | complemented |
| 46 | C3×#417 | C22 | 1 | 3 | yes | complemented |
| 47 | C3×#416 | C22 | 1 | 3 | yes | complemented |
| 48 | C2×C3×#102 | C22 | 1 | 3 | yes | complemented |
| 49 | #5133 | C22 | 1 | 3 | yes | complemented |
| 50 | #5131 | C22 | 1 | 3 | yes | complemented |
| 51 | #5122 | C22 | 1 | 3 | yes | complemented |
| 52 | Dic3×M16 | C22 | 1 | 3 | yes | complemented |
| 53 | #5113 | C22 | 1 | 3 | yes | complemented |
| 54 | C2×#821 | C22 | 1 | 3 | yes | complemented |
| 55 | #5101 | C22 | 1 | 3 | yes | complemented |
| 56 | C2×C8×Dic3 | C22 | 1 | 3 | yes | complemented |
| 57 | #4998 | C22 | 1 | 3 | yes | complemented |
| 58 | #4995 | C22 | 1 | 3 | yes | complemented |
| 59 | #4964 | C22 | 1 | 3 | yes | complemented |
| 60 | C2×#807 | C22 | 1 | 3 | yes | complemented |
| 61 | #4817 | C22 | 1 | 6 | yes | complemented |
| 62 | #4790 | C22 | 1 | 3 | yes | complemented |
| 63 | #4790 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #4788 | C22 | 1 | 3 | yes | complemented |
| 65 | #4788 | C22 | 1 | 3 | yes | complemented |
| 66 | #4785 | C22 | 1 | 6 | yes | complemented |
| 67 | #4785 | C22 | 1 | 6 | yes | complemented |
| 68 | #4758 | C22 | 1 | 3 | yes | complemented |
| 69 | #4758 | C22 | 1 | 3 | yes | complemented |
| 70 | #4757 | C22 | 1 | 6 | yes | complemented |
| 71 | #4756 | C22 | 1 | 6 | yes | complemented |
| 72 | #4756 | C22 | 1 | 6 | yes | complemented |
| 73 | #4756 | C22 | 1 | 3 | yes | complemented |
| 74 | #4756 | C22 | 1 | 3 | yes | complemented |
| 75 | #4756 | C22 | 1 | 6 | yes | complemented |
| 76 | C2×#576 | — | 3 | 1 | no | — |
| 77 | C4×H(5,𝔽2) | — | 3 | 1 | no | — |
| 78 | C4×H(5,𝔽2) | — | 3 | 1 | no | — |
| 79 | #2951 | — | 3 | 3 | no | — |
| 80 | #2948 | — | 3 | 3 | no | — |
| 81 | #2946 | — | 3 | 3 | no | — |
| 82 | #2946 | — | 3 | 3 | no | — |
| 83 | C4×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 84 | C4×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 85 | C4×#135 | — | 3 | 3 | no | — |
| 86 | C2×C4×D8 | — | 3 | 3 | no | — |
| 87 | #2913 | — | 3 | 1 | no | — |
| 88 | #2897 | — | 3 | 1 | no | — |
| 89 | #2897 | D3 | 1 | 1 | yes | characteristic, complemented |
| 90 | C4×#131 | — | 3 | 1 | no | — |
| 91 | C3×H(5,𝔽2) | — | 2 | 4 | no | — |
| 92 | C3×H(5,𝔽2) | C2×C4 | 1 | 8 | yes | complemented |
| 93 | C2×C3×#41 | — | 2 | 1 | no | — |
| 94 | C2×C3×#41 | C23 | 1 | 3 | yes | — |
| 95 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 96 | C22×C3×D4 | — | 2 | 3 | no | — |
| 97 | C22×C3×D4 | C23 | 1 | 3 | yes | — |
| 98 | C23×Dic3 | — | 2 | 3 | no | — |
| 99 | #1009 | — | 2 | 4 | no | — |
| 100 | #1009 | C2×C4 | 1 | 8 | yes | complemented |
| 101 | C2×#239 | — | 2 | 1 | no | — |
| 102 | C2×D3×D4 | — | 2 | 3 | no | — |
| 103 | C2×#235 | C23 | 1 | 3 | yes | — |
| 104 | C22×D12 | C23 | 1 | 3 | yes | — |
| 105 | C22×C4×D3 | — | 2 | 3 | no | — |
| 106 | C3×#131 | — | 2 | 4 | no | — |
| 107 | C2×C3×M16 | C23 | 1 | 3 | yes | — |
| 108 | C22×C3×C8 | C23 | 1 | 3 | yes | — |
| 109 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 110 | C3×C4×D4 | — | 2 | 3 | no | — |
| 111 | C3×#117 | C23 | 1 | 3 | yes | — |
| 112 | C2×C3×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 113 | C2×#217 | — | 2 | 3 | no | — |
| 114 | C2×#217 | — | 2 | 6 | no | — |
| 115 | #950 | C2×C4 | 1 | 24 | yes | complemented |
| 116 | #949 | C2×C4 | 1 | 24 | yes | complemented |
| 117 | #948 | C2×C4 | 1 | 8 | yes | complemented |
| 118 | Q8×Dic3 | — | 2 | 1 | no | — |
| 119 | Q8×Dic3 | D4 | 1 | 1 | yes | characteristic |
| 120 | Q8×Dic3 | D4 | 1 | 1 | yes | characteristic |
| 121 | Q8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 122 | Q8×Dic3 | C23 | 1 | 3 | yes | — |
| 123 | C2×#216 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×#215 | C23 | 1 | 3 | yes | — |
| 125 | D4×Dic3 | — | 2 | 3 | no | — |
| 126 | D4×Dic3 | — | 2 | 3 | no | — |
| 127 | D4×Dic3 | — | 2 | 3 | no | — |
| 128 | D4×Dic3 | — | 2 | 6 | no | — |
| 129 | D4×Dic3 | — | 2 | 3 | no | — |
| 130 | D4×Dic3 | — | 2 | 3 | no | — |
| 131 | D4×Dic3 | — | 2 | 3 | no | — |
| 132 | D4×Dic3 | — | 2 | 3 | no | — |
| 133 | D4×Dic3 | D4 | 1 | 3 | yes | — |
| 134 | D4×Dic3 | D4 | 1 | 3 | yes | — |
| 135 | D4×Dic3 | C23 | 1 | 3 | yes | — |
| 136 | D4×Dic3 | C23 | 1 | 6 | yes | — |
| 137 | D4×Dic3 | C23 | 1 | 3 | yes | — |
| 138 | C2×#214 | C23 | 1 | 3 | yes | — |
| 139 | #932 | C2×C4 | 1 | 24 | yes | complemented |
| 140 | C2×#213 | C2×C4 | 1 | 24 | yes | complemented |
| 141 | C2×#213 | C23 | 1 | 3 | yes | — |
| 142 | C2×#213 | C23 | 1 | 6 | yes | — |
| 143 | C4×#67 | — | 2 | 6 | no | — |
| 144 | C2×(C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 145 | #926 | — | 2 | 3 | no | — |
| 146 | #926 | — | 2 | 3 | no | — |
| 147 | #926 | C23 | 1 | 3 | yes | — |
| 148 | #926 | C23 | 1 | 3 | yes | — |
| 149 | C2×C4⋊Dic3 | — | 2 | 3 | no | — |
| 150 | C2×C4⋊Dic3 | C23 | 1 | 3 | yes | — |
| 151 | C2×C4×Dic3 | — | 2 | 3 | no | — |
| 152 | C2×C4×Dic3 | C23 | 1 | 3 | yes | — |
| 153 | C2×#208 | C23 | 1 | 3 | yes | — |
| 154 | C22×C3⋊C8 | C23 | 1 | 3 | yes | — |
| 155 | #893 | — | 2 | 3 | no | — |
| 156 | #893 | — | 2 | 3 | no | — |
| 157 | #893 | C23 | 1 | 3 | yes | — |
| 158 | #893 | C23 | 1 | 6 | yes | — |
| 159 | #893 | C23 | 1 | 3 | yes | — |
| 160 | #892 | — | 2 | 3 | no | — |
| 161 | D3×C4⋊C4 | — | 2 | 3 | no | — |
| 162 | #887 | C23 | 1 | 3 | yes | — |
| 163 | #887 | C23 | 1 | 1 | yes | characteristic |
| 164 | #67⋊C4 | — | 2 | 3 | no | — |
| 165 | #67⋊C4 | — | 2 | 3 | no | — |
| 166 | D3×C22⋊C4 | — | 2 | 6 | no | — |
| 167 | C4×D12 | — | 2 | 3 | no | — |
| 168 | C4×D12 | — | 2 | 3 | no | — |
| 169 | #872 | — | 2 | 3 | no | — |
| 170 | C42×D3 | — | 2 | 3 | no | — |
| 171 | C3×#103 | C23 | 1 | 1 | yes | characteristic |
| 172 | C3×#103 | C23 | 1 | 3 | yes | — |
| 173 | C3×#102 | C23 | 1 | 3 | yes | — |
| 174 | C3×#102 | C23 | 1 | 6 | yes | — |
| 175 | C3×#102 | C23 | 1 | 3 | yes | — |
| 176 | #821 | C23 | 1 | 3 | yes | — |
| 177 | #821 | C23 | 1 | 6 | yes | — |
| 178 | #821 | C23 | 1 | 3 | yes | — |
| 179 | #816 | C23 | 1 | 3 | yes | — |
| 180 | #816 | C23 | 1 | 1 | yes | characteristic |
| 181 | #815 | C23 | 1 | 6 | yes | — |
| 182 | C8×Dic3 | C23 | 1 | 3 | yes | — |
| 183 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 184 | C8×Dic3 | C23 | 1 | 3 | yes | — |
| 185 | C8×Dic3 | C23 | 1 | 3 | yes | — |
| 186 | #808 | C23 | 1 | 3 | yes | — |
| 187 | #808 | C23 | 1 | 3 | yes | — |
| 188 | #807 | C23 | 1 | 3 | yes | — |
| 189 | #807 | C23 | 1 | 6 | yes | — |
| 190 | #807 | C23 | 1 | 1 | yes | characteristic |
| 191 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 192 | C2×H(5,𝔽2) | C2×D3 | 1 | 1 | yes | characteristic |
| 193 | #576 | — | 3 | 16 | no | — |
| 194 | C2×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 195 | C2×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 196 | C2×#135 | — | 3 | 3 | no | — |
| 197 | C22×D8 | — | 3 | 3 | no | — |
| 198 | C2×#131 | — | 3 | 1 | no | — |
| 199 | C2×#131 | C2×D3 | 1 | 1 | yes | characteristic |
| 200 | #520 | — | 3 | 1 | no | — |
| 201 | #520 | — | 3 | 3 | no | — |
| 202 | #520 | — | 3 | 3 | no | — |
| 203 | #520 | — | 6 | 1 | no | — |
| 204 | #520 | — | 6 | 1 | no | — |
| 205 | #520 | C2×D3 | 1 | 1 | yes | characteristic |
| 206 | #518 | — | 3 | 3 | no | — |
| 207 | #518 | — | 3 | 3 | no | — |
| 208 | #518 | — | 6 | 3 | no | — |
| 209 | #518 | — | 6 | 3 | no | — |
| 210 | C4×#41 | — | 3 | 1 | no | — |
| 211 | C4×#41 | — | 3 | 3 | no | — |
| 212 | C4×#41 | — | 3 | 3 | no | — |
| 213 | C4×#41 | — | 6 | 1 | no | — |
| 214 | C4×#41 | — | 6 | 1 | no | — |
| 215 | C2×C4×D4 | — | 3 | 3 | no | — |
| 216 | C2×C4×D4 | — | 3 | 3 | no | — |
| 217 | C2×C4×D4 | — | 6 | 3 | no | — |
| 218 | C2×C4×D4 | — | 6 | 3 | no | — |
| 219 | #442 | — | 3 | 6 | no | — |
| 220 | #442 | — | 3 | 6 | no | — |
| 221 | #440 | — | 3 | 6 | no | — |
| 222 | #440 | — | 3 | 6 | no | — |
| 223 | C4×Q16 | — | 3 | 1 | no | — |
| 224 | C4×Q16 | — | 3 | 3 | no | — |
| 225 | C4×SD16 | — | 3 | 3 | no | — |
| 226 | C4×SD16 | — | 3 | 3 | no | — |
| 227 | C4×SD16 | — | 3 | 3 | no | — |
| 228 | C4×SD16 | — | 3 | 3 | no | — |
| 229 | C4×D8 | — | 3 | 3 | no | — |
| 230 | C4×D8 | — | 3 | 6 | no | — |
| 231 | C4×D8 | — | 3 | 6 | no | — |
| 232 | C4×D8 | — | 3 | 6 | no | — |
| 233 | C4×D8 | — | 3 | 3 | no | — |
| 234 | #428 | — | 3 | 3 | no | — |
| 235 | #428 | — | 3 | 3 | no | — |
| 236 | #427 | — | 3 | 3 | no | — |
| 237 | C2×#107 | — | 3 | 3 | no | — |
| 238 | #418 | — | 3 | 3 | no | — |
| 239 | #418 | C2×D3 | 1 | 3 | yes | complemented |
| 240 | #417 | — | 3 | 3 | no | — |
| 241 | #417 | C2×D3 | 1 | 3 | yes | complemented |
| 242 | #416 | — | 3 | 3 | no | — |
| 243 | #416 | C2×D3 | 1 | 3 | yes | complemented |
| 244 | C2×#102 | — | 3 | 3 | no | — |
| 245 | C2×#102 | C2×D3 | 1 | 3 | yes | complemented |
| 246 | #405 | — | 3 | 3 | no | — |
| 247 | #405 | — | 3 | 3 | no | — |
| 248 | C4×M16 | — | 3 | 3 | no | — |
| 249 | C2×C4×C8 | — | 3 | 3 | no | — |
| 250 | C24×C3 | — | 2 | 3 | no | — |
| 251 | C23×D3 | — | 2 | 3 | no | — |
| 252 | C3×#41 | — | 2 | 8 | no | — |
| 253 | C3×#41 | — | 2 | 6 | no | — |
| 254 | C3×#41 | C22×C4 | 1 | 4 | yes | — |
| 255 | C3×#41 | C22×C4 | 1 | 12 | yes | complemented |
| 256 | C3×#41 | #41 | 1 | 4 | yes | — |
| 257 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 259 | C2×C3×D4 | — | 2 | 3 | no | — |
| 260 | C2×C3×D4 | — | 2 | 24 | no | — |
| 261 | C2×C3×D4 | — | 2 | 3 | no | — |
| 262 | C2×C3×D4 | — | 2 | 6 | no | — |
| 263 | C2×C3×D4 | C22×C4 | 1 | 12 | yes | complemented |
| 264 | C2×C3×D4 | C2×D4 | 1 | 3 | yes | — |
| 265 | C2×C3×D4 | C24 | 1 | 3 | yes | — |
| 266 | C22×C3×C4 | — | 2 | 3 | no | — |
| 267 | C22×C3×C4 | — | 2 | 3 | no | — |
| 268 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 269 | C2×#67 | — | 2 | 3 | no | — |
| 270 | C22×Dic3 | — | 2 | 3 | no | — |
| 271 | C22×Dic3 | — | 2 | 3 | no | — |
| 272 | C22×Dic3 | — | 2 | 3 | no | — |
| 273 | C22×Dic3 | — | 2 | 6 | no | — |
| 274 | C22×Dic3 | — | 8 | 6 | no | — |
| 275 | C22×Dic3 | C2×D4 | 1 | 3 | yes | — |
| 276 | C22×Dic3 | C2×D4 | 1 | 3 | yes | — |
| 277 | #239 | — | 2 | 8 | no | — |
| 278 | D3×D4 | — | 2 | 24 | no | — |
| 279 | #235 | — | 2 | 6 | no | — |
| 280 | #235 | C22×C4 | 1 | 12 | yes | complemented |
| 281 | C2×D12 | — | 2 | 3 | no | — |
| 282 | C2×D12 | — | 2 | 6 | no | — |
| 283 | C2×D12 | C22×C4 | 1 | 12 | yes | complemented |
| 284 | C2×D12 | C24 | 1 | 3 | yes | — |
| 285 | C2×C4×D3 | — | 2 | 3 | no | — |
| 286 | C2×C4×D3 | — | 2 | 3 | no | — |
| 287 | C2×C4×D3 | — | 2 | 3 | no | — |
| 288 | C2×C4×D3 | — | 2 | 6 | no | — |
| 289 | C2×C4×D3 | — | 8 | 6 | no | — |
| 290 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 291 | C3×M16 | — | 2 | 6 | no | — |
| 292 | C2×C3×C8 | — | 2 | 6 | no | — |
| 293 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 294 | C2×C3×C8 | C24 | 1 | 3 | yes | — |
| 295 | C3×C4⋊C4 | — | 2 | 3 | no | — |
| 296 | C3×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 297 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 298 | C3×C22⋊C4 | — | 2 | 3 | no | — |
| 299 | C3×C42 | — | 2 | 3 | no | — |
| 300 | #217 | — | 2 | 3 | no | — |
| 301 | #217 | — | 2 | 3 | no | — |
| 302 | #217 | — | 2 | 6 | no | — |
| 303 | #217 | — | 2 | 3 | no | — |
| 304 | #217 | C2×D4 | 1 | 6 | yes | — |
| 305 | #216 | C22×C4 | 1 | 4 | yes | complemented |
| 306 | #215 | C22×C4 | 1 | 12 | yes | complemented |
| 307 | #214 | C22×C4 | 1 | 12 | yes | complemented |
| 308 | #213 | C22×C4 | 1 | 12 | yes | complemented |
| 309 | #213 | C22×C4 | 1 | 24 | yes | complemented |
| 310 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 311 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 312 | (C2×D3)⋊C4 | — | 2 | 6 | no | — |
| 313 | C4⋊Dic3 | — | 2 | 3 | no | — |
| 314 | C4⋊Dic3 | — | 2 | 3 | no | — |
| 315 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 316 | C4⋊Dic3 | C2×D4 | 1 | 3 | yes | — |
| 317 | C4⋊Dic3 | C2×D4 | 1 | 3 | yes | — |
| 318 | C4⋊Dic3 | C24 | 1 | 3 | yes | — |
| 319 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 320 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 321 | Dic3⋊C4 | — | 2 | 3 | no | — |
| 322 | C4×Dic3 | — | 2 | 3 | no | — |
| 323 | C4×Dic3 | — | 2 | 1 | no | — |
| 324 | C4×Dic3 | — | 2 | 3 | no | — |
| 325 | C4×Dic3 | — | 2 | 1 | no | — |
| 326 | C4×Dic3 | — | 2 | 3 | no | — |
| 327 | C4×Dic3 | C2×D4 | 1 | 3 | yes | — |
| 328 | C4×Dic3 | C2×D4 | 1 | 3 | yes | — |
| 329 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 330 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 331 | #208 | C22×C4 | 1 | 12 | yes | complemented |
| 332 | C2×C3⋊C8 | C22×C4 | 1 | 12 | yes | complemented |
| 333 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 334 | C2×C3⋊C8 | C24 | 1 | 3 | yes | — |
| 335 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 336 | H(5,𝔽2) | — | 3 | 8 | no | — |
| 337 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 338 | H(5,𝔽2) | C4×D3 | 1 | 8 | yes | complemented |
| 339 | C2×#41 | — | 2 | 1 | no | — |
| 340 | C2×#41 | — | 3 | 3 | no | — |
| 341 | C2×#41 | — | 6 | 1 | no | — |
| 342 | C2×#41 | C22×D3 | 1 | 3 | yes | — |
| 343 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 344 | C22×D4 | — | 2 | 3 | no | — |
| 345 | C22×D4 | — | 3 | 3 | no | — |
| 346 | C22×D4 | — | 6 | 3 | no | — |
| 347 | C22×D4 | C22×D3 | 1 | 3 | yes | — |
| 348 | C23×C4 | — | 6 | 3 | no | — |
| 349 | C23×C4 | — | 6 | 3 | no | — |
| 350 | AGL(1,ℤ/8) | — | 3 | 24 | no | — |
| 351 | AGL(1,ℤ/8) | — | 3 | 24 | no | — |
| 352 | #135 | — | 3 | 24 | no | — |
| 353 | C2×Q16 | — | 3 | 1 | no | — |
| 354 | C2×SD16 | — | 3 | 3 | no | — |
| 355 | C2×SD16 | — | 3 | 3 | no | — |
| 356 | C2×D8 | — | 3 | 24 | no | — |
| 357 | C2×D8 | — | 3 | 3 | no | — |
| 358 | C2×D8 | — | 3 | 6 | no | — |
| 359 | #131 | — | 2 | 4 | no | — |
| 360 | #131 | — | 3 | 8 | no | — |
| 361 | C2×M16 | — | 3 | 3 | no | — |
| 362 | C2×M16 | C22×D3 | 1 | 3 | yes | — |
| 363 | C22×C8 | — | 3 | 3 | no | — |
| 364 | C22×C8 | C22×D3 | 1 | 3 | yes | — |
| 365 | C4×Q8 | — | 2 | 1 | no | — |
| 366 | C4×Q8 | — | 3 | 1 | no | — |
| 367 | C4×Q8 | — | 3 | 1 | no | — |
| 368 | C4×Q8 | — | 3 | 1 | no | — |
| 369 | C4×Q8 | — | 3 | 3 | no | — |
| 370 | C4×Q8 | — | 3 | 1 | no | — |
| 371 | C4×Q8 | — | 3 | 3 | no | — |
| 372 | C4×Q8 | — | 6 | 1 | no | — |
| 373 | C4×D4 | — | 2 | 3 | no | — |
| 374 | C4×D4 | — | 3 | 3 | no | — |
| 375 | C4×D4 | — | 3 | 3 | no | — |
| 376 | C4×D4 | — | 3 | 3 | no | — |
| 377 | C4×D4 | — | 3 | 6 | no | — |
| 378 | C4×D4 | — | 3 | 3 | no | — |
| 379 | C4×D4 | — | 3 | 3 | no | — |
| 380 | C4×D4 | — | 3 | 6 | no | — |
| 381 | C4×D4 | — | 3 | 3 | no | — |
| 382 | C4×D4 | — | 6 | 3 | no | — |
| 383 | C4×D4 | — | 6 | 3 | no | — |
| 384 | C4×D4 | — | 6 | 3 | no | — |
| 385 | C4×D4 | — | 6 | 3 | no | — |
| 386 | C4×D4 | — | 6 | 3 | no | — |
| 387 | C4×D4 | — | 6 | 3 | no | — |
| 388 | C4×D4 | — | 6 | 3 | no | — |
| 389 | C4×D4 | — | 6 | 3 | no | — |
| 390 | C4×D4 | — | 6 | 6 | no | — |
| 391 | C4×D4 | — | 6 | 6 | no | — |
| 392 | C4×D4 | — | 6 | 3 | no | — |
| 393 | C4×D4 | — | 6 | 3 | no | — |
| 394 | C4×D4 | — | 6 | 3 | no | — |
| 395 | C4×D4 | — | 6 | 3 | no | — |
| 396 | C4×D4 | — | 6 | 3 | no | — |
| 397 | #117 | — | 3 | 3 | no | — |
| 398 | #117 | — | 3 | 3 | no | — |
| 399 | #117 | — | 6 | 3 | no | — |
| 400 | #117 | — | 6 | 3 | no | — |
| 401 | #117 | — | 6 | 3 | no | — |
| 402 | #117 | — | 6 | 3 | no | — |
| 403 | #117 | C22×D3 | 1 | 3 | yes | — |
| 404 | C2×C4⋊C4 | — | 3 | 3 | no | — |
| 405 | C2×C4⋊C4 | — | 6 | 3 | no | — |
| 406 | C2×C4⋊C4 | — | 6 | 3 | no | — |
| 407 | C2×C4⋊C4 | C22×D3 | 1 | 3 | yes | — |
| 408 | C2×C22⋊C4 | — | 6 | 6 | no | — |
| 409 | C2×C22⋊C4 | — | 6 | 6 | no | — |
| 410 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 411 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 412 | C2×C42 | — | 3 | 3 | no | — |
| 413 | C2×C42 | — | 6 | 3 | no | — |
| 414 | C2×C42 | — | 6 | 3 | no | — |
| 415 | #107 | — | 3 | 3 | no | — |
| 416 | #107 | — | 3 | 6 | no | — |
| 417 | #107 | — | 3 | 1 | no | — |
| 418 | #106 | — | 3 | 3 | no | — |
| 419 | #106 | — | 3 | 3 | no | — |
| 420 | #103 | — | 3 | 1 | no | — |
| 421 | #103 | — | 3 | 3 | no | — |
| 422 | #103 | C22×D3 | 1 | 1 | yes | characteristic |
| 423 | #103 | C22×D3 | 1 | 3 | yes | — |
| 424 | #102 | — | 3 | 3 | no | — |
| 425 | #102 | — | 3 | 6 | no | — |
| 426 | #102 | — | 3 | 3 | no | — |
| 427 | #102 | C22×D3 | 1 | 3 | yes | — |
| 428 | #102 | C22×D3 | 1 | 6 | yes | — |
| 429 | #102 | C22×D3 | 1 | 3 | yes | — |
| 430 | #97 | — | 3 | 6 | no | — |
| 431 | C4×C8 | — | 3 | 1 | no | — |
| 432 | C4×C8 | — | 3 | 3 | no | — |
| 433 | C4×C8 | — | 3 | 3 | no | — |
| 434 | C4×C8 | — | 3 | 3 | no | — |
| 435 | C23×C3 | — | 2 | 3 | no | — |
| 436 | C23×C3 | — | 2 | 12 | no | — |
| 437 | C23×C3 | — | 8 | 3 | no | — |
| 438 | C23×C3 | — | 8 | 3 | no | — |
| 439 | C23×C3 | C22×D4 | 1 | 3 | yes | — |
| 440 | C22×D3 | — | 2 | 3 | no | — |
| 441 | C22×D3 | — | 2 | 12 | no | — |
| 442 | C22×D3 | — | 8 | 3 | no | — |
| 443 | C22×D3 | — | 8 | 3 | no | — |
| 444 | C3×Q8 | — | 2 | 1 | no | — |
| 445 | C3×Q8 | C4×D4 | 1 | 4 | yes | — |
| 446 | C3×Q8 | C23×C4 | 1 | 2 | yes | — |
| 447 | C3×D4 | — | 2 | 12 | no | — |
| 448 | C3×D4 | — | 2 | 12 | no | — |
| 449 | C3×D4 | — | 2 | 3 | no | — |
| 450 | C3×D4 | C4×D4 | 1 | 12 | yes | — |
| 451 | C3×D4 | C23×C4 | 1 | 6 | yes | — |
| 452 | C2×C3×C4 | — | 2 | 1 | no | — |
| 453 | C2×C3×C4 | — | 2 | 12 | no | — |
| 454 | C2×C3×C4 | — | 2 | 1 | no | — |
| 455 | C2×C3×C4 | — | 2 | 3 | no | — |
| 456 | C2×C3×C4 | — | 8 | 3 | no | — |
| 457 | C2×C3×C4 | C23×C4 | 1 | 6 | yes | — |
| 458 | C2×C3×C4 | C22×D4 | 1 | 3 | yes | — |
| 459 | C2×C3×C4 | C2×#41 | 1 | 6 | yes | — |
| 460 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 461 | #67 | — | 2 | 12 | no | — |
| 462 | C2×Dic3 | — | 2 | 1 | no | — |
| 463 | C2×Dic3 | — | 2 | 6 | no | — |
| 464 | C2×Dic3 | — | 2 | 1 | no | — |
| 465 | C2×Dic3 | — | 2 | 3 | no | — |
| 466 | C2×Dic3 | — | 4 | 3 | no | — |
| 467 | C2×Dic3 | — | 4 | 6 | no | — |
| 468 | C2×Dic3 | — | 8 | 3 | no | — |
| 469 | C2×Dic3 | — | 8 | 6 | no | — |
| 470 | C2×Dic3 | — | 8 | 3 | no | — |
| 471 | C2×Dic3 | C22×D4 | 1 | 3 | yes | — |
| 472 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 473 | C2×Dic3 | C22×D4 | 1 | 3 | yes | — |
| 474 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 475 | D12 | — | 2 | 12 | no | — |
| 476 | D12 | — | 2 | 3 | no | — |
| 477 | D12 | C23×C4 | 1 | 6 | yes | — |
| 478 | C4×D3 | — | 2 | 12 | no | — |
| 479 | C4×D3 | — | 4 | 6 | no | — |
| 480 | C4×D3 | — | 8 | 3 | no | — |
| 481 | C4×D3 | — | 8 | 6 | no | — |
| 482 | Dic6 | — | 2 | 1 | no | — |
| 483 | Dic6 | C23×C4 | 1 | 2 | yes | — |
| 484 | C3×C8 | — | 2 | 1 | no | — |
| 485 | C3×C8 | — | 2 | 3 | no | — |
| 486 | C3⋊C8 | C23×C4 | 1 | 2 | yes | — |
| 487 | C3⋊C8 | C23×C4 | 1 | 6 | yes | — |
| 488 | C24 | — | 2 | 3 | no | — |
| 489 | C24 | — | 6 | 3 | no | — |
| 490 | #41 | — | 2 | 8 | no | — |
| 491 | #41 | — | 2 | 6 | no | — |
| 492 | #41 | — | 3 | 12 | no | — |
| 493 | #41 | — | 6 | 8 | no | — |
| 494 | #41 | — | 6 | 6 | no | — |
| 495 | #41 | C2×C4×D3 | 1 | 4 | yes | — |
| 496 | #41 | C2×C4×D3 | 1 | 12 | yes | complemented |
| 497 | #41 | #237 | 1 | 4 | yes | — |
| 498 | C2×Q8 | — | 3 | 1 | no | — |
| 499 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 500 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 501 | C2×D4 | — | 2 | 3 | no | — |
| 502 | C2×D4 | — | 2 | 24 | no | — |
| 503 | C2×D4 | — | 2 | 3 | no | — |
| 504 | C2×D4 | — | 2 | 6 | no | — |
| 505 | C2×D4 | — | 3 | 12 | no | — |
| 506 | C2×D4 | — | 3 | 3 | no | — |
| 507 | C2×D4 | — | 6 | 3 | no | — |
| 508 | C2×D4 | — | 6 | 24 | no | — |
| 509 | C2×D4 | — | 6 | 3 | no | — |
| 510 | C2×D4 | — | 6 | 6 | no | — |
| 511 | C2×D4 | C2×C4×D3 | 1 | 12 | yes | complemented |
| 512 | C2×D4 | D3×D4 | 1 | 3 | yes | — |
| 513 | C2×D4 | C23×D3 | 1 | 3 | yes | — |
| 514 | C22×C4 | — | 2 | 3 | no | — |
| 515 | C22×C4 | — | 2 | 3 | no | — |
| 516 | C22×C4 | — | 3 | 3 | no | — |
| 517 | C22×C4 | — | 3 | 3 | no | — |
| 518 | C22×C4 | — | 6 | 3 | no | — |
| 519 | C22×C4 | — | 6 | 3 | no | — |
| 520 | C22×C4 | — | 6 | 6 | no | — |
| 521 | C22×C4 | — | 6 | 3 | no | — |
| 522 | C22×C4 | — | 6 | 3 | no | — |
| 523 | C22×C4 | — | 6 | 6 | no | — |
| 524 | C22×C4 | — | 6 | 3 | no | — |
| 525 | C22×C4 | — | 6 | 3 | no | — |
| 526 | C22×C4 | — | 24 | 6 | no | — |
| 527 | C22×C4 | — | 24 | 6 | no | — |
| 528 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 529 | Q16 | — | 3 | 4 | no | — |
| 530 | SD16 | — | 3 | 12 | no | — |
| 531 | SD16 | — | 3 | 12 | no | — |
| 532 | D8 | — | 3 | 12 | no | — |
| 533 | D8 | — | 3 | 24 | no | — |
| 534 | M16 | — | 2 | 6 | no | — |
| 535 | M16 | — | 3 | 12 | no | — |
| 536 | C2×C8 | — | 2 | 6 | no | — |
| 537 | C2×C8 | — | 3 | 12 | no | — |
| 538 | C2×C8 | — | 3 | 1 | no | — |
| 539 | C2×C8 | — | 3 | 3 | no | — |
| 540 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 541 | C2×C8 | C23×D3 | 1 | 3 | yes | — |
| 542 | C4⋊C4 | — | 2 | 3 | no | — |
| 543 | C4⋊C4 | — | 3 | 3 | no | — |
| 544 | C4⋊C4 | — | 3 | 3 | no | — |
| 545 | C4⋊C4 | — | 3 | 1 | no | — |
| 546 | C4⋊C4 | — | 3 | 3 | no | — |
| 547 | C4⋊C4 | — | 6 | 3 | no | — |
| 548 | C4⋊C4 | — | 6 | 3 | no | — |
| 549 | C4⋊C4 | — | 6 | 1 | no | — |
| 550 | C4⋊C4 | — | 6 | 1 | no | — |
| 551 | C4⋊C4 | — | 6 | 3 | no | — |
| 552 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 553 | C4⋊C4 | C23×D3 | 1 | 3 | yes | — |
| 554 | C22⋊C4 | — | 2 | 3 | no | — |
| 555 | C22⋊C4 | — | 3 | 6 | no | — |
| 556 | C22⋊C4 | — | 6 | 3 | no | — |
| 557 | C22⋊C4 | — | 6 | 3 | no | — |
| 558 | C22⋊C4 | — | 6 | 6 | no | — |
| 559 | C22⋊C4 | — | 6 | 3 | no | — |
| 560 | C22⋊C4 | — | 6 | 6 | no | — |
| 561 | C22⋊C4 | — | 6 | 3 | no | — |
| 562 | C22⋊C4 | — | 6 | 3 | no | — |
| 563 | C42 | — | 2 | 3 | no | — |
| 564 | C42 | — | 3 | 3 | no | — |
| 565 | C42 | — | 3 | 3 | no | — |
| 566 | C42 | — | 3 | 1 | no | — |
| 567 | C42 | — | 3 | 3 | no | — |
| 568 | C42 | — | 6 | 1 | no | — |
| 569 | C42 | — | 6 | 1 | no | — |
| 570 | C42 | — | 6 | 3 | no | — |
| 571 | C42 | — | 6 | 3 | no | — |
| 572 | C42 | — | 6 | 3 | no | — |
| 573 | C22×C3 | — | 2 | 3 | no | — |
| 574 | C22×C3 | — | 2 | 3 | no | — |
| 575 | C22×C3 | — | 2 | 6 | no | — |
| 576 | C22×C3 | — | 4 | 3 | no | — |
| 577 | C22×C3 | — | 4 | 3 | no | — |
| 578 | C22×C3 | — | 8 | 12 | no | — |
| 579 | C22×C3 | C2×C4×D4 | 1 | 6 | yes | — |
| 580 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 581 | C2×D3 | — | 2 | 6 | no | — |
| 582 | C2×D3 | — | 4 | 3 | no | — |
| 583 | C2×D3 | — | 4 | 3 | no | — |
| 584 | C2×D3 | — | 8 | 12 | no | — |
| 585 | C3×C4 | — | 2 | 2 | no | — |
| 586 | C3×C4 | — | 4 | 1 | no | — |
| 587 | C3×C4 | — | 4 | 3 | no | — |
| 588 | C3×C4 | C2×C4×D4 | 1 | 6 | yes | — |
| 589 | C3×C4 | C24×C4 | 1 | 1 | yes | characteristic |
| 590 | C3×C4 | C22×#41 | 1 | 1 | yes | characteristic |
| 591 | Dic3 | — | 2 | 3 | no | — |
| 592 | Dic3 | — | 2 | 1 | no | — |
| 593 | Dic3 | — | 2 | 2 | no | — |
| 594 | Dic3 | — | 2 | 3 | no | — |
| 595 | Dic3 | — | 4 | 1 | no | — |
| 596 | Dic3 | — | 4 | 3 | no | — |
| 597 | Dic3 | #576 | 1 | 2 | yes | complemented |
| 598 | C23 | — | 2 | 3 | no | — |
| 599 | C23 | — | 2 | 12 | no | — |
| 600 | C23 | — | 6 | 3 | no | — |
| 601 | C23 | — | 6 | 12 | no | — |
| 602 | C23 | — | 8 | 3 | no | — |
| 603 | C23 | — | 8 | 3 | no | — |
| 604 | C23 | — | 24 | 3 | no | — |
| 605 | C23 | — | 24 | 3 | no | — |
| 606 | C23 | C2×D3×D4 | 1 | 3 | yes | — |
| 607 | Q8 | — | 2 | 1 | no | — |
| 608 | Q8 | — | 3 | 2 | no | — |
| 609 | Q8 | — | 6 | 1 | no | — |
| 610 | Q8 | #67⋊C4 | 1 | 4 | yes | — |
| 611 | Q8 | C22×C4×D3 | 1 | 2 | yes | — |
| 612 | D4 | — | 2 | 12 | no | — |
| 613 | D4 | — | 2 | 3 | no | — |
| 614 | D4 | — | 2 | 12 | no | — |
| 615 | D4 | — | 3 | 6 | no | — |
| 616 | D4 | — | 6 | 12 | no | — |
| 617 | D4 | — | 6 | 3 | no | — |
| 618 | D4 | — | 6 | 12 | no | — |
| 619 | D4 | #67⋊C4 | 1 | 12 | yes | — |
| 620 | D4 | C22×C4×D3 | 1 | 6 | yes | — |
| 621 | C2×C4 | — | 2 | 1 | no | — |
| 622 | C2×C4 | — | 2 | 12 | no | — |
| 623 | C2×C4 | — | 2 | 1 | no | — |
| 624 | C2×C4 | — | 2 | 3 | no | — |
| 625 | C2×C4 | — | 3 | 1 | no | — |
| 626 | C2×C4 | — | 3 | 1 | no | — |
| 627 | C2×C4 | — | 3 | 3 | no | — |
| 628 | C2×C4 | — | 3 | 3 | no | — |
| 629 | C2×C4 | — | 6 | 6 | no | — |
| 630 | C2×C4 | — | 6 | 1 | no | — |
| 631 | C2×C4 | — | 6 | 12 | no | — |
| 632 | C2×C4 | — | 6 | 1 | no | — |
| 633 | C2×C4 | — | 6 | 3 | no | — |
| 634 | C2×C4 | — | 8 | 3 | no | — |
| 635 | C2×C4 | — | 12 | 6 | no | — |
| 636 | C2×C4 | — | 12 | 6 | no | — |
| 637 | C2×C4 | — | 12 | 3 | no | — |
| 638 | C2×C4 | — | 24 | 6 | no | — |
| 639 | C2×C4 | — | 24 | 3 | no | — |
| 640 | C2×C4 | — | 24 | 6 | no | — |
| 641 | C2×C4 | — | 24 | 3 | no | — |
| 642 | C2×C4 | — | 24 | 3 | no | — |
| 643 | C2×C4 | C22×C4×D3 | 1 | 6 | yes | — |
| 644 | C2×C4 | C2×D3×D4 | 1 | 3 | yes | — |
| 645 | C2×C4 | C2×#237 | 1 | 6 | yes | — |
| 646 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 647 | C8 | — | 2 | 1 | no | — |
| 648 | C8 | — | 2 | 3 | no | — |
| 649 | C8 | — | 3 | 2 | no | — |
| 650 | C8 | — | 3 | 6 | no | — |
| 651 | C2×C3 | — | 2 | 6 | no | — |
| 652 | C2×C3 | — | 4 | 6 | no | — |
| 653 | C2×C3 | C22×C4×D4 | 1 | 1 | yes | characteristic |
| 654 | C2×C3 | C2×#576 | 1 | 1 | yes | characteristic |
| 655 | C2×C3 | #3584 | 1 | 1 | yes | characteristic |
| 656 | D3 | — | 4 | 6 | no | — |
| 657 | C22 | — | 2 | 3 | no | — |
| 658 | C22 | — | 2 | 3 | no | — |
| 659 | C22 | — | 2 | 6 | no | — |
| 660 | C22 | — | 4 | 3 | no | — |
| 661 | C22 | — | 4 | 3 | no | — |
| 662 | C22 | — | 6 | 6 | no | — |
| 663 | C22 | — | 8 | 12 | no | — |
| 664 | C22 | — | 12 | 3 | no | — |
| 665 | C22 | — | 12 | 3 | no | — |
| 666 | C22 | — | 24 | 12 | no | — |
| 667 | C22 | C2×#67⋊C4 | 1 | 6 | yes | — |
| 668 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 669 | C4 | — | 2 | 2 | no | — |
| 670 | C4 | — | 3 | 2 | no | — |
| 671 | C4 | — | 4 | 3 | no | — |
| 672 | C4 | — | 4 | 1 | no | — |
| 673 | C4 | — | 6 | 3 | no | — |
| 674 | C4 | — | 6 | 1 | no | — |
| 675 | C4 | — | 6 | 3 | no | — |
| 676 | C4 | — | 6 | 2 | no | — |
| 677 | C4 | — | 12 | 3 | no | — |
| 678 | C4 | — | 12 | 1 | no | — |
| 679 | C4 | C2×#67⋊C4 | 1 | 6 | yes | — |
| 680 | C4 | C23×C4×D3 | 1 | 1 | yes | characteristic |
| 681 | C4 | C22×#237 | 1 | 1 | yes | characteristic |
| 682 | C3 | C4×#576 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 683 | C2 | — | 2 | 6 | no | — |
| 684 | C2 | — | 4 | 6 | no | — |
| 685 | C2 | — | 12 | 6 | no | — |
| 686 | C2 | C22×#67⋊C4 | 1 | 1 | yes | characteristic |
| 687 | C2 | D3×#576 | 1 | 1 | yes | characteristic |
| 688 | C2 | #87206 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta