| 1 | #11756836 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D5×#932 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11752426 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#65780 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | D5⋊#805 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11746534 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11746527 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10604863 | — | 3 | 1 | no | maximal, Hall |
| 9 | C2×C3×D4×D5 | C22 | 1 | 1 | yes | characteristic |
| 10 | D5×#235 | C22 | 1 | 1 | yes | characteristic |
| 11 | #91989 | C22 | 1 | 1 | yes | characteristic |
| 12 | D5⋊#208 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C3×C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 14 | C2×C3×C4⋊AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C3×C4×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 16 | AGL(1,𝔽5)×#67 | — | 2 | 2 | no | — |
| 17 | #91921 | — | 2 | 1 | no | — |
| 18 | D3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 19 | ΓL(1,𝔽16)⋊Q8 | — | 2 | 1 | no | — |
| 20 | #91907 | — | 2 | 1 | no | — |
| 21 | #91821 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | C5×#932 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | #91491 | — | 2 | 1 | no | — |
| 24 | #91489 | — | 2 | 1 | no | — |
| 25 | D5×#214 | — | 2 | 1 | no | — |
| 26 | D5×#213 | — | 2 | 1 | no | — |
| 27 | #91312 | C4 | 1 | 1 | yes | characteristic, complemented |
| 28 | #91298 | C4 | 1 | 1 | yes | characteristic, complemented |
| 29 | D5×#208 | C22 | 1 | 1 | yes | characteristic |
| 30 | #91236 | — | 2 | 1 | no | — |
| 31 | #91236 | — | 2 | 1 | no | — |
| 32 | #91158 | — | 2 | 1 | no | — |
| 33 | #91156 | — | 2 | 1 | no | — |
| 34 | #69663 | — | 5 | 1 | no | maximal, Hall |
| 35 | #66266 | — | 3 | 1 | no | — |
| 36 | D5×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 37 | D5⋊#104 | — | 3 | 1 | no | — |
| 38 | #65780 | D3 | 1 | 1 | yes | characteristic, complemented |
| 39 | #65767 | — | 3 | 1 | no | — |
| 40 | #64900 | — | 3 | 1 | no | — |
| 41 | #64899 | — | 3 | 1 | no | — |
| 42 | C23×C3×D5 | — | 2 | 1 | no | — |
| 43 | C22×C3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 44 | C22×C3×AGL(1,𝔽5) | D4 | 1 | 2 | yes | — |
| 45 | C2×D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 46 | C2×C3×C5×D4 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 47 | #6817 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | C5×#235 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 50 | C3×D4×D5 | — | 2 | 1 | no | — |
| 51 | C3×D4×D5 | — | 2 | 1 | no | — |
| 52 | C3×D4×D5 | — | 2 | 1 | no | — |
| 53 | C3×D4×D5 | — | 2 | 1 | no | — |
| 54 | C2×C3×D20 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 55 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 56 | D5×#67 | — | 2 | 1 | no | — |
| 57 | #6782 | — | 2 | 1 | no | — |
| 58 | D5×D12 | D4 | 1 | 1 | yes | characteristic |
| 59 | C4×D3×D5 | — | 2 | 1 | no | — |
| 60 | #6773 | D4 | 1 | 1 | yes | characteristic |
| 61 | #6772 | D4 | 1 | 1 | yes | characteristic |
| 62 | #6771 | — | 2 | 1 | no | — |
| 63 | D5×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 64 | #6763 | — | 2 | 1 | no | — |
| 65 | #6762 | — | 2 | 1 | no | — |
| 66 | C4⋊ΓL(1,𝔽16) | D4 | 1 | 1 | yes | characteristic |
| 67 | C4⋊ΓL(1,𝔽16) | D4 | 1 | 1 | yes | characteristic |
| 68 | C4×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 69 | #6758 | — | 2 | 1 | no | — |
| 70 | D5⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 71 | C3×C22⋊AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 72 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 73 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 74 | C3×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 75 | C3×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 76 | Dic3⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 77 | (C2×D3)⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 78 | Dic3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 79 | #6716 | — | 2 | 1 | no | — |
| 80 | #6715 | — | 2 | 1 | no | — |
| 81 | #6710 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 82 | C5×#214 | — | 2 | 1 | no | — |
| 83 | C5×#213 | — | 2 | 1 | no | — |
| 84 | C5×#208 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 85 | #6657 | — | 2 | 1 | no | — |
| 86 | #6655 | — | 2 | 1 | no | — |
| 87 | #6653 | — | 2 | 1 | no | — |
| 88 | #6652 | — | 2 | 1 | no | — |
| 89 | #6649 | — | 2 | 1 | no | — |
| 90 | D5×C3⋊C8 | — | 2 | 1 | no | — |
| 91 | C2×#932 | — | 5 | 1 | no | — |
| 92 | #5504 | — | 5 | 1 | no | — |
| 93 | C3×#390 | — | 5 | 1 | no | — |
| 94 | #5215 | — | 5 | 1 | no | — |
| 95 | C2×#805 | — | 5 | 1 | no | — |
| 96 | #4530 | — | 5 | 1 | no | — |
| 97 | #4523 | — | 5 | 1 | no | — |
| 98 | D5×#41 | — | 3 | 1 | no | — |
| 99 | C2×D4×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 100 | C2×C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 101 | Q8×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 102 | D4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 103 | D4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 104 | #4130 | — | 3 | 1 | no | — |
| 105 | #4130 | — | 6 | 1 | no | — |
| 106 | C2×C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 107 | C2×C4⋊AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 108 | C2×C4×AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 109 | D5⋊M16 | — | 3 | 1 | no | — |
| 110 | C5×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 111 | #4095 | — | 3 | 1 | no | — |
| 112 | #4078 | — | 3 | 1 | no | — |
| 113 | #4060 | — | 6 | 1 | no | — |
| 114 | D5×SD16 | — | 6 | 1 | no | — |
| 115 | #4057 | — | 6 | 1 | no | — |
| 116 | D5×D8 | — | 6 | 1 | no | — |
| 117 | #4054 | — | 3 | 1 | no | — |
| 118 | D5×M16 | — | 3 | 1 | no | — |
| 119 | #4010 | — | 6 | 1 | no | — |
| 120 | #4008 | — | 6 | 1 | no | — |
| 121 | #4007 | — | 6 | 1 | no | — |
| 122 | #4007 | — | 6 | 1 | no | — |
| 123 | #1883 | — | 15 | 1 | no | Sylow |
| 124 | C23×C3×C5 | — | 2 | 1 | no | — |
| 125 | C22×C3×D5 | — | 2 | 1 | no | — |
| 126 | C22×C3×D5 | — | 4 | 2 | no | — |
| 127 | C22×C3×D5 | — | 4 | 2 | no | — |
| 128 | C22×C3×D5 | — | 4 | 1 | no | — |
| 129 | C22×C3×D5 | — | 4 | 1 | no | — |
| 130 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | C2×D3×D5 | — | 2 | 1 | no | — |
| 132 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 133 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 134 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 135 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 136 | C2×C3×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 137 | C2×C3×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 138 | C2×C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 139 | D3×AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 140 | C3×C5×D4 | — | 2 | 1 | no | — |
| 141 | C3×C5×D4 | — | 2 | 1 | no | — |
| 142 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 143 | #1220 | — | 2 | 1 | no | — |
| 144 | D60 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 145 | C4×D15 | — | 2 | 1 | no | — |
| 146 | Dic30 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 147 | C5×#67 | — | 2 | 1 | no | — |
| 148 | C5×D12 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 149 | C4×C5×D3 | — | 2 | 1 | no | — |
| 150 | C5×Dic6 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 151 | C3×C22⋊D5 | — | 4 | 1 | no | — |
| 152 | C3×C22⋊D5 | — | 4 | 1 | no | — |
| 153 | C2×C3×Dic5 | #41 | 1 | 1 | yes | characteristic |
| 154 | C3×D20 | — | 2 | 1 | no | — |
| 155 | C3×D20 | — | 2 | 1 | no | — |
| 156 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 157 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 158 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | C3×C4×D5 | #41 | 1 | 1 | yes | characteristic |
| 160 | #1204 | — | 2 | 1 | no | — |
| 161 | #1203 | — | 2 | 1 | no | — |
| 162 | #1202 | — | 2 | 1 | no | — |
| 163 | #1201 | — | 2 | 1 | no | — |
| 164 | #1200 | — | 2 | 1 | no | — |
| 165 | D3×Dic5 | — | 2 | 1 | no | — |
| 166 | D5×Dic3 | — | 2 | 1 | no | — |
| 167 | C3⋊#170 | — | 4 | 1 | no | — |
| 168 | C3⋊#168 | — | 2 | 1 | no | — |
| 169 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 170 | C22×C3×D4 | — | 5 | 1 | no | — |
| 171 | C2×#235 | — | 5 | 1 | no | — |
| 172 | C2×C3×C4⋊C4 | — | 5 | 1 | no | — |
| 173 | C2×C3×C22⋊C4 | — | 10 | 2 | no | — |
| 174 | C2×C3×C42 | — | 5 | 1 | no | — |
| 175 | C2×#214 | — | 10 | 1 | no | — |
| 176 | #932 | — | 5 | 1 | no | — |
| 177 | #932 | — | 5 | 1 | no | — |
| 178 | #932 | — | 5 | 1 | no | — |
| 179 | #932 | — | 10 | 1 | no | — |
| 180 | #932 | — | 10 | 1 | no | — |
| 181 | #932 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 182 | C2×#213 | — | 10 | 1 | no | — |
| 183 | C4×#67 | — | 10 | 2 | no | — |
| 184 | #926 | — | 5 | 1 | no | — |
| 185 | C2×#208 | — | 5 | 1 | no | — |
| 186 | C2×#208 | — | 5 | 1 | no | — |
| 187 | #893 | — | 10 | 1 | no | — |
| 188 | #892 | — | 10 | 1 | no | — |
| 189 | D3×C4⋊C4 | — | 10 | 1 | no | — |
| 190 | #887 | — | 10 | 1 | no | — |
| 191 | #832 | — | 10 | 1 | no | — |
| 192 | #832 | — | 10 | 1 | no | — |
| 193 | #805 | — | 10 | 1 | no | — |
| 194 | #805 | — | 10 | 1 | no | — |
| 195 | C23×D5 | — | 2 | 1 | no | — |
| 196 | C22×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 197 | C22×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 198 | C22×AGL(1,𝔽5) | #67 | 1 | 2 | yes | — |
| 199 | C5×#41 | — | 3 | 1 | no | — |
| 200 | C2×C5×D4 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 201 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 202 | #713 | — | 3 | 1 | no | — |
| 203 | Q8×D5 | — | 3 | 1 | no | — |
| 204 | #711 | — | 3 | 1 | no | — |
| 205 | #711 | — | 6 | 1 | no | — |
| 206 | D4×D5 | — | 2 | 1 | no | — |
| 207 | D4×D5 | — | 2 | 1 | no | — |
| 208 | D4×D5 | — | 2 | 1 | no | — |
| 209 | D4×D5 | — | 2 | 1 | no | — |
| 210 | D4×D5 | — | 3 | 1 | no | — |
| 211 | D4×D5 | — | 6 | 1 | no | — |
| 212 | #709 | — | 3 | 1 | no | — |
| 213 | #709 | — | 6 | 1 | no | — |
| 214 | C2×D20 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 215 | C2×C4×D5 | — | 6 | 1 | no | — |
| 216 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 217 | C22⋊AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 218 | C22⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 219 | C22⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 220 | #704 | — | 6 | 1 | no | — |
| 221 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 222 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 223 | C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 224 | C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 225 | C4⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 226 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 227 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 228 | C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 229 | C4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 230 | #700 | — | 6 | 1 | no | — |
| 231 | D5⋊C8 | — | 6 | 1 | no | — |
| 232 | C5×SD16 | — | 6 | 1 | no | — |
| 233 | C5×D8 | — | 6 | 1 | no | — |
| 234 | C5×M16 | — | 3 | 1 | no | — |
| 235 | #688 | — | 6 | 1 | no | — |
| 236 | #687 | — | 6 | 1 | no | — |
| 237 | #686 | — | 6 | 1 | no | — |
| 238 | #686 | — | 6 | 1 | no | — |
| 239 | #681 | — | 3 | 1 | no | — |
| 240 | D40 | — | 6 | 1 | no | — |
| 241 | #677 | — | 6 | 1 | no | — |
| 242 | #676 | — | 6 | 1 | no | — |
| 243 | C8×D5 | — | 6 | 1 | no | — |
| 244 | C2×AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 245 | #520 | — | 15 | 1 | no | — |
| 246 | C2×#104 | — | 15 | 1 | no | — |
| 247 | #418 | — | 15 | 1 | no | — |
| 248 | #390 | — | 5 | 1 | no | — |
| 249 | #343 | — | 15 | 1 | no | — |
| 250 | #339 | — | 15 | 1 | no | — |
| 251 | C22×C3×C5 | — | 4 | 2 | no | — |
| 252 | C22×C3×C5 | — | 4 | 1 | no | — |
| 253 | C22×C3×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×D15 | — | 2 | 1 | no | — |
| 255 | C2×C5×D3 | — | 2 | 1 | no | — |
| 256 | C2×C3×D5 | — | 2 | 1 | no | — |
| 257 | C2×C3×D5 | — | 2 | 1 | no | — |
| 258 | C2×C3×D5 | — | 4 | 2 | no | — |
| 259 | C2×C3×D5 | — | 4 | 1 | no | — |
| 260 | C2×C3×D5 | — | 8 | 2 | no | — |
| 261 | C2×C3×D5 | — | 8 | 1 | no | — |
| 262 | C2×C3×D5 | — | 8 | 1 | no | — |
| 263 | C2×C3×D5 | #120 | 1 | 1 | yes | characteristic |
| 264 | C2×C3×D5 | #121 | 1 | 1 | yes | characteristic |
| 265 | D3×D5 | — | 4 | 1 | no | — |
| 266 | D3×D5 | — | 4 | 1 | no | — |
| 267 | ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 268 | ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 269 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 270 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 271 | C3×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 272 | C3×C4×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 273 | Dic15 | — | 2 | 1 | no | — |
| 274 | C3×Dic5 | #121 | 1 | 1 | yes | characteristic |
| 275 | C3×Dic5 | #123 | 1 | 1 | yes | characteristic |
| 276 | C5×Dic3 | — | 2 | 1 | no | — |
| 277 | C24×C3 | — | 10 | 1 | no | — |
| 278 | C2×C3×D4 | — | 5 | 1 | no | — |
| 279 | C2×C3×D4 | — | 10 | 1 | no | — |
| 280 | C2×C3×D4 | — | 10 | 1 | no | — |
| 281 | C2×C3×D4 | — | 10 | 1 | no | — |
| 282 | C2×C3×D4 | — | 10 | 1 | no | — |
| 283 | C2×C3×D4 | — | 10 | 1 | no | — |
| 284 | C2×C3×D4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 285 | C22×C3×C4 | — | 5 | 1 | no | — |
| 286 | C22×C3×C4 | — | 5 | 2 | no | — |
| 287 | C22×C3×C4 | — | 10 | 1 | no | — |
| 288 | C2×#67 | — | 10 | 1 | no | — |
| 289 | #235 | — | 5 | 1 | no | — |
| 290 | #235 | — | 5 | 1 | no | — |
| 291 | #235 | — | 5 | 1 | no | — |
| 292 | #235 | — | 10 | 1 | no | — |
| 293 | #235 | — | 10 | 1 | no | — |
| 294 | #235 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 295 | C2×D12 | — | 5 | 1 | no | — |
| 296 | C2×C4×D3 | — | 10 | 1 | no | — |
| 297 | C2×C4×D3 | — | 10 | 2 | no | — |
| 298 | C2×Dic6 | — | 5 | 1 | no | — |
| 299 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 300 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 301 | C3×C22⋊C4 | — | 20 | 4 | no | — |
| 302 | C3×C42 | — | 10 | 1 | no | — |
| 303 | C3×C42 | — | 10 | 1 | no | — |
| 304 | #217 | — | 10 | 1 | no | — |
| 305 | #214 | — | 2 | 1 | no | — |
| 306 | #214 | — | 10 | 1 | no | — |
| 307 | #214 | — | 10 | 1 | no | — |
| 308 | #214 | — | 10 | 1 | no | — |
| 309 | #213 | — | 2 | 1 | no | — |
| 310 | #213 | — | 10 | 1 | no | — |
| 311 | #213 | — | 10 | 1 | no | — |
| 312 | #213 | — | 10 | 1 | no | — |
| 313 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 314 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 315 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 316 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 317 | C4×Dic3 | — | 10 | 1 | no | — |
| 318 | C4×Dic3 | — | 10 | 2 | no | — |
| 319 | #208 | — | 5 | 1 | no | — |
| 320 | #208 | — | 10 | 1 | no | — |
| 321 | #208 | — | 10 | 1 | no | — |
| 322 | #208 | — | 10 | 1 | no | — |
| 323 | #208 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 324 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 325 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 326 | C23×C5 | — | 2 | 1 | no | — |
| 327 | C22×D5 | — | 2 | 1 | no | — |
| 328 | C22×D5 | — | 4 | 2 | no | — |
| 329 | C22×D5 | — | 4 | 2 | no | — |
| 330 | C22×D5 | — | 4 | 1 | no | — |
| 331 | C22×D5 | — | 4 | 1 | no | — |
| 332 | C22×D5 | — | 6 | 1 | no | — |
| 333 | C22×D5 | C2×#67 | 1 | 1 | yes | characteristic |
| 334 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 335 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 336 | C2×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 337 | C2×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 338 | C2×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 339 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 340 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 341 | C2×AGL(1,𝔽5) | — | 24 | 2 | no | — |
| 342 | C5×Q8 | — | 3 | 1 | no | — |
| 343 | C5×D4 | — | 2 | 1 | no | — |
| 344 | C5×D4 | — | 2 | 1 | no | — |
| 345 | C5×D4 | — | 3 | 1 | no | — |
| 346 | C5×D4 | — | 6 | 1 | no | — |
| 347 | C2×C4×C5 | — | 6 | 1 | no | — |
| 348 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 349 | C22⋊D5 | — | 4 | 1 | no | — |
| 350 | C22⋊D5 | — | 4 | 1 | no | — |
| 351 | C22⋊D5 | — | 6 | 1 | no | — |
| 352 | C22⋊D5 | — | 6 | 1 | no | — |
| 353 | C22⋊D5 | — | 6 | 1 | no | — |
| 354 | C2×Dic5 | — | 6 | 1 | no | — |
| 355 | C2×Dic5 | #235 | 1 | 1 | yes | characteristic |
| 356 | D20 | — | 2 | 1 | no | — |
| 357 | D20 | — | 2 | 1 | no | — |
| 358 | D20 | — | 3 | 1 | no | — |
| 359 | D20 | — | 6 | 1 | no | — |
| 360 | C4×D5 | — | 6 | 1 | no | — |
| 361 | C4×D5 | — | 6 | 1 | no | — |
| 362 | C4×D5 | — | 6 | 1 | no | — |
| 363 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 364 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 365 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 366 | C4×D5 | #237 | 1 | 1 | yes | characteristic |
| 367 | Dic10 | — | 3 | 1 | no | — |
| 368 | Dic10 | — | 6 | 1 | no | — |
| 369 | #170 | — | 12 | 1 | no | — |
| 370 | C5×C8 | — | 6 | 1 | no | — |
| 371 | #168 | — | 6 | 1 | no | — |
| 372 | C2×#41 | — | 15 | 1 | no | — |
| 373 | C22×D4 | — | 5 | 1 | no | — |
| 374 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 375 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 376 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 377 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 378 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 379 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 380 | C2×SD16 | — | 30 | 1 | no | — |
| 381 | C2×D8 | — | 30 | 1 | no | — |
| 382 | C2×M16 | — | 15 | 1 | no | — |
| 383 | C2×M16 | — | 15 | 1 | no | — |
| 384 | C4×Q8 | — | 30 | 1 | no | — |
| 385 | C4×D4 | — | 30 | 1 | no | — |
| 386 | C4×D4 | — | 30 | 2 | no | — |
| 387 | #117 | — | 15 | 1 | no | — |
| 388 | #117 | — | 30 | 1 | no | — |
| 389 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 390 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 391 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 392 | C2×C42 | — | 5 | 1 | no | — |
| 393 | #104 | — | 30 | 1 | no | — |
| 394 | #104 | — | 30 | 1 | no | — |
| 395 | #102 | — | 30 | 1 | no | — |
| 396 | #102 | — | 30 | 1 | no | — |
| 397 | C2×C3×C5 | — | 2 | 1 | no | — |
| 398 | C2×C3×C5 | — | 8 | 1 | no | — |
| 399 | C2×C3×C5 | #386 | 1 | 1 | yes | characteristic |
| 400 | D15 | — | 4 | 1 | no | — |
| 401 | C3×D5 | — | 2 | 1 | no | — |
| 402 | C3×D5 | — | 8 | 1 | no | — |
| 403 | C3×D5 | #453 | 1 | 1 | yes | characteristic |
| 404 | C3×D5 | #454 | 1 | 1 | yes | characteristic |
| 405 | C5×D3 | — | 4 | 1 | no | — |
| 406 | C23×C3 | — | 2 | 1 | no | — |
| 407 | C23×C3 | — | 5 | 1 | no | — |
| 408 | C23×C3 | — | 10 | 1 | no | — |
| 409 | C23×C3 | — | 20 | 1 | no | — |
| 410 | C23×C3 | — | 20 | 1 | no | — |
| 411 | C23×C3 | — | 20 | 2 | no | — |
| 412 | C23×C3 | — | 20 | 2 | no | — |
| 413 | C22×D3 | — | 10 | 1 | no | — |
| 414 | C3×D4 | — | 2 | 1 | no | — |
| 415 | C3×D4 | — | 2 | 1 | no | — |
| 416 | C3×D4 | — | 10 | 1 | no | — |
| 417 | C3×D4 | — | 10 | 1 | no | — |
| 418 | C3×D4 | — | 20 | 1 | no | — |
| 419 | C3×D4 | — | 20 | 1 | no | — |
| 420 | C2×C3×C4 | — | 5 | 1 | no | — |
| 421 | C2×C3×C4 | — | 5 | 1 | no | — |
| 422 | C2×C3×C4 | — | 5 | 1 | no | — |
| 423 | C2×C3×C4 | — | 5 | 1 | no | — |
| 424 | C2×C3×C4 | — | 5 | 1 | no | — |
| 425 | C2×C3×C4 | — | 10 | 2 | no | — |
| 426 | C2×C3×C4 | — | 10 | 2 | no | — |
| 427 | C2×C3×C4 | — | 20 | 1 | no | — |
| 428 | C2×C3×C4 | — | 20 | 1 | no | — |
| 429 | C2×C3×C4 | — | 20 | 2 | no | — |
| 430 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 431 | #67 | — | 2 | 1 | no | — |
| 432 | #67 | — | 10 | 1 | no | — |
| 433 | #67 | — | 10 | 1 | no | — |
| 434 | #67 | — | 10 | 1 | no | — |
| 435 | C2×Dic3 | — | 10 | 1 | no | — |
| 436 | C2×Dic3 | — | 10 | 1 | no | — |
| 437 | C2×Dic3 | — | 10 | 1 | no | — |
| 438 | D12 | — | 5 | 1 | no | — |
| 439 | D12 | — | 10 | 1 | no | — |
| 440 | D12 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 441 | C4×D3 | — | 2 | 1 | no | — |
| 442 | C4×D3 | — | 10 | 1 | no | — |
| 443 | C4×D3 | — | 10 | 1 | no | — |
| 444 | C4×D3 | — | 10 | 1 | no | — |
| 445 | C4×D3 | — | 40 | 2 | no | — |
| 446 | Dic6 | — | 5 | 1 | no | — |
| 447 | Dic6 | — | 10 | 1 | no | — |
| 448 | Dic6 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 449 | C3⋊C8 | — | 2 | 1 | no | — |
| 450 | C3⋊C8 | — | 10 | 1 | no | — |
| 451 | C3⋊C8 | — | 20 | 1 | no | — |
| 452 | C22×C5 | — | 4 | 2 | no | — |
| 453 | C22×C5 | — | 4 | 1 | no | — |
| 454 | C22×C5 | — | 6 | 1 | no | — |
| 455 | C22×C5 | C4×#67 | 1 | 1 | yes | characteristic |
| 456 | C2×D5 | — | 2 | 1 | no | — |
| 457 | C2×D5 | — | 2 | 1 | no | — |
| 458 | C2×D5 | — | 4 | 2 | no | — |
| 459 | C2×D5 | — | 4 | 1 | no | — |
| 460 | C2×D5 | — | 6 | 1 | no | — |
| 461 | C2×D5 | — | 8 | 2 | no | — |
| 462 | C2×D5 | — | 8 | 1 | no | — |
| 463 | C2×D5 | — | 8 | 1 | no | — |
| 464 | C2×D5 | — | 12 | 1 | no | — |
| 465 | C2×D5 | — | 12 | 1 | no | — |
| 466 | C2×D5 | #937 | 1 | 1 | yes | characteristic |
| 467 | C2×D5 | #938 | 1 | 1 | yes | characteristic |
| 468 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 469 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 470 | AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 471 | AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 472 | C4×C5 | — | 6 | 1 | no | — |
| 473 | C4×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 474 | C4×C5 | #67⋊C4 | 1 | 1 | yes | characteristic |
| 475 | Dic5 | — | 6 | 1 | no | — |
| 476 | Dic5 | #883 | 1 | 1 | yes | characteristic |
| 477 | Dic5 | #884 | 1 | 1 | yes | characteristic |
| 478 | C24 | — | 10 | 1 | no | — |
| 479 | #41 | — | 3 | 1 | no | — |
| 480 | #41 | — | 15 | 1 | no | — |
| 481 | #41 | — | 15 | 1 | no | — |
| 482 | #41 | — | 15 | 1 | no | — |
| 483 | #41 | — | 30 | 1 | no | — |
| 484 | #41 | — | 30 | 1 | no | — |
| 485 | C2×Q8 | — | 15 | 1 | no | — |
| 486 | C2×D4 | — | 5 | 1 | no | — |
| 487 | C2×D4 | — | 10 | 1 | no | — |
| 488 | C2×D4 | — | 10 | 1 | no | — |
| 489 | C2×D4 | — | 10 | 1 | no | — |
| 490 | C2×D4 | — | 10 | 1 | no | — |
| 491 | C2×D4 | — | 10 | 1 | no | — |
| 492 | C2×D4 | — | 15 | 1 | no | — |
| 493 | C2×D4 | — | 30 | 1 | no | — |
| 494 | C2×D4 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 495 | C22×C4 | — | 5 | 1 | no | — |
| 496 | C22×C4 | — | 5 | 2 | no | — |
| 497 | C22×C4 | — | 10 | 1 | no | — |
| 498 | C22×C4 | — | 30 | 1 | no | — |
| 499 | C22×C4 | — | 30 | 2 | no | — |
| 500 | SD16 | — | 6 | 1 | no | — |
| 501 | SD16 | — | 30 | 1 | no | — |
| 502 | SD16 | — | 30 | 1 | no | — |
| 503 | SD16 | — | 30 | 1 | no | — |
| 504 | D8 | — | 6 | 1 | no | — |
| 505 | D8 | — | 30 | 1 | no | — |
| 506 | D8 | — | 30 | 1 | no | — |
| 507 | D8 | — | 30 | 1 | no | — |
| 508 | M16 | — | 3 | 1 | no | — |
| 509 | M16 | — | 15 | 1 | no | — |
| 510 | M16 | — | 30 | 1 | no | — |
| 511 | M16 | — | 30 | 1 | no | — |
| 512 | M16 | — | 30 | 1 | no | — |
| 513 | C2×C8 | — | 30 | 1 | no | — |
| 514 | C2×C8 | — | 30 | 1 | no | — |
| 515 | C4⋊C4 | — | 10 | 1 | no | — |
| 516 | C4⋊C4 | — | 10 | 1 | no | — |
| 517 | C4⋊C4 | — | 15 | 1 | no | — |
| 518 | C4⋊C4 | — | 15 | 1 | no | — |
| 519 | C4⋊C4 | — | 30 | 2 | no | — |
| 520 | C22⋊C4 | — | 20 | 4 | no | — |
| 521 | C22⋊C4 | — | 30 | 2 | no | — |
| 522 | C22⋊C4 | — | 30 | 1 | no | — |
| 523 | C42 | — | 10 | 1 | no | — |
| 524 | C42 | — | 10 | 1 | no | — |
| 525 | C42 | — | 30 | 1 | no | — |
| 526 | C42 | — | 30 | 2 | no | — |
| 527 | C3×C5 | #1883 | 1 | 1 | yes | characteristic, complemented, Hall |
| 528 | C22×C3 | — | 4 | 2 | no | — |
| 529 | C22×C3 | — | 4 | 1 | no | — |
| 530 | C22×C3 | — | 5 | 1 | no | — |
| 531 | C22×C3 | — | 5 | 1 | no | — |
| 532 | C22×C3 | — | 10 | 1 | no | — |
| 533 | C22×C3 | — | 10 | 1 | no | — |
| 534 | C22×C3 | — | 20 | 2 | no | — |
| 535 | C22×C3 | — | 20 | 1 | no | — |
| 536 | C22×C3 | — | 40 | 1 | no | — |
| 537 | C22×C3 | — | 40 | 1 | no | — |
| 538 | C22×C3 | — | 40 | 2 | no | — |
| 539 | C22×C3 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 540 | C2×D3 | — | 2 | 1 | no | — |
| 541 | C2×D3 | — | 10 | 1 | no | — |
| 542 | C2×D3 | — | 20 | 1 | no | — |
| 543 | C2×D3 | — | 20 | 1 | no | — |
| 544 | C3×C4 | — | 5 | 1 | no | — |
| 545 | C3×C4 | — | 5 | 1 | no | — |
| 546 | C3×C4 | — | 20 | 2 | no | — |
| 547 | C3×C4 | — | 20 | 2 | no | — |
| 548 | C3×C4 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 549 | C3×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 550 | Dic3 | — | 2 | 1 | no | — |
| 551 | Dic3 | — | 10 | 1 | no | — |
| 552 | Dic3 | — | 20 | 1 | no | — |
| 553 | Dic3 | — | 20 | 1 | no | — |
| 554 | C2×C5 | — | 2 | 1 | no | — |
| 555 | C2×C5 | — | 8 | 1 | no | — |
| 556 | C2×C5 | — | 12 | 1 | no | — |
| 557 | C2×C5 | #4956 | 1 | 1 | yes | characteristic |
| 558 | D5 | — | 2 | 1 | no | — |
| 559 | D5 | — | 8 | 1 | no | — |
| 560 | D5 | — | 12 | 1 | no | — |
| 561 | D5 | #5062 | 1 | 1 | yes | characteristic |
| 562 | D5 | #5077 | 1 | 1 | yes | characteristic |
| 563 | C23 | — | 2 | 1 | no | — |
| 564 | C23 | — | 5 | 1 | no | — |
| 565 | C23 | — | 10 | 1 | no | — |
| 566 | C23 | — | 20 | 1 | no | — |
| 567 | C23 | — | 20 | 1 | no | — |
| 568 | C23 | — | 20 | 2 | no | — |
| 569 | C23 | — | 20 | 2 | no | — |
| 570 | C23 | — | 30 | 1 | no | — |
| 571 | Q8 | — | 3 | 1 | no | — |
| 572 | Q8 | — | 15 | 1 | no | — |
| 573 | Q8 | — | 30 | 1 | no | — |
| 574 | D4 | — | 2 | 1 | no | — |
| 575 | D4 | — | 2 | 1 | no | — |
| 576 | D4 | — | 3 | 1 | no | — |
| 577 | D4 | — | 6 | 1 | no | — |
| 578 | D4 | — | 10 | 1 | no | — |
| 579 | D4 | — | 10 | 1 | no | — |
| 580 | D4 | — | 15 | 1 | no | — |
| 581 | D4 | — | 20 | 1 | no | — |
| 582 | D4 | — | 20 | 1 | no | — |
| 583 | D4 | — | 30 | 1 | no | — |
| 584 | D4 | — | 30 | 1 | no | — |
| 585 | D4 | — | 30 | 1 | no | — |
| 586 | D4 | — | 30 | 1 | no | — |
| 587 | C2×C4 | — | 5 | 1 | no | — |
| 588 | C2×C4 | — | 5 | 1 | no | — |
| 589 | C2×C4 | — | 5 | 1 | no | — |
| 590 | C2×C4 | — | 5 | 1 | no | — |
| 591 | C2×C4 | — | 5 | 1 | no | — |
| 592 | C2×C4 | — | 6 | 1 | no | — |
| 593 | C2×C4 | — | 10 | 2 | no | — |
| 594 | C2×C4 | — | 10 | 2 | no | — |
| 595 | C2×C4 | — | 20 | 1 | no | — |
| 596 | C2×C4 | — | 20 | 1 | no | — |
| 597 | C2×C4 | — | 20 | 2 | no | — |
| 598 | C2×C4 | — | 30 | 1 | no | — |
| 599 | C2×C4 | — | 30 | 1 | no | — |
| 600 | C2×C4 | — | 30 | 1 | no | — |
| 601 | C2×C4 | — | 30 | 1 | no | — |
| 602 | C2×C4 | — | 30 | 1 | no | — |
| 603 | C2×C4 | — | 30 | 1 | no | — |
| 604 | C2×C4 | — | 120 | 2 | no | — |
| 605 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 606 | C8 | — | 6 | 1 | no | — |
| 607 | C8 | — | 30 | 1 | no | — |
| 608 | C8 | — | 60 | 1 | no | — |
| 609 | C2×C3 | — | 2 | 1 | no | — |
| 610 | C2×C3 | — | 5 | 1 | no | — |
| 611 | C2×C3 | — | 5 | 1 | no | — |
| 612 | C2×C3 | — | 8 | 1 | no | — |
| 613 | C2×C3 | — | 10 | 1 | no | — |
| 614 | C2×C3 | — | 40 | 1 | no | — |
| 615 | C2×C3 | #65779 | 1 | 1 | yes | characteristic |
| 616 | D3 | — | 4 | 1 | no | — |
| 617 | D3 | — | 20 | 1 | no | — |
| 618 | C5 | #69663 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 619 | C22 | — | 4 | 2 | no | — |
| 620 | C22 | — | 4 | 1 | no | — |
| 621 | C22 | — | 5 | 1 | no | — |
| 622 | C22 | — | 5 | 1 | no | — |
| 623 | C22 | — | 6 | 1 | no | — |
| 624 | C22 | — | 10 | 1 | no | — |
| 625 | C22 | — | 10 | 1 | no | — |
| 626 | C22 | — | 20 | 2 | no | — |
| 627 | C22 | — | 20 | 1 | no | — |
| 628 | C22 | — | 30 | 1 | no | — |
| 629 | C22 | — | 40 | 1 | no | — |
| 630 | C22 | — | 40 | 1 | no | — |
| 631 | C22 | — | 40 | 2 | no | — |
| 632 | C22 | — | 60 | 1 | no | — |
| 633 | C22 | — | 60 | 1 | no | — |
| 634 | C22 | AGL(1,𝔽5)×#67 | 1 | 1 | yes | characteristic |
| 635 | C4 | — | 5 | 1 | no | — |
| 636 | C4 | — | 5 | 1 | no | — |
| 637 | C4 | — | 6 | 1 | no | — |
| 638 | C4 | — | 20 | 2 | no | — |
| 639 | C4 | — | 20 | 2 | no | — |
| 640 | C4 | — | 30 | 1 | no | — |
| 641 | C4 | — | 60 | 1 | no | — |
| 642 | C4 | — | 60 | 1 | no | — |
| 643 | C4 | D3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 644 | C4 | #67⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 645 | C3 | #10604863 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 646 | C2 | — | 2 | 1 | no | — |
| 647 | C2 | — | 5 | 1 | no | — |
| 648 | C2 | — | 5 | 1 | no | — |
| 649 | C2 | — | 8 | 1 | no | — |
| 650 | C2 | — | 10 | 1 | no | — |
| 651 | C2 | — | 12 | 1 | no | — |
| 652 | C2 | — | 40 | 1 | no | — |
| 653 | C2 | — | 60 | 1 | no | — |
| 654 | C2 | #11752055 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta