| 1 | C5×D3×#41 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D3×#709 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #91839 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#4096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #91520 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #91518 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #91510 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #91504 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #91496 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #91494 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #91486 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #91480 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #91303 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #91297 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×#6650 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #66156 | — | 3 | 1 | no | maximal, Hall |
| 17 | C3×C5×#41 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #6817 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C5×#239 | C22 | 1 | 1 | yes | characteristic |
| 20 | C5×D3×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C5×#237 | — | 2 | 1 | no | — |
| 22 | C5×#237 | C22 | 1 | 1 | yes | characteristic |
| 23 | C5×D3×D4 | — | 2 | 1 | no | — |
| 24 | C5×D3×D4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C5×#235 | — | 2 | 1 | no | — |
| 26 | C5×#235 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×C4×C5×D3 | — | 2 | 1 | no | — |
| 28 | C2×C4×C5×D3 | C22 | 1 | 1 | yes | characteristic |
| 29 | C3×#709 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | D3×C22⋊D5 | — | 2 | 1 | no | — |
| 31 | #6779 | — | 2 | 1 | no | — |
| 32 | D3×D20 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C4×D3×D5 | — | 2 | 1 | no | — |
| 34 | #6771 | — | 2 | 1 | no | — |
| 35 | #6769 | C22 | 1 | 1 | yes | characteristic |
| 36 | D3×Dic10 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #6765 | C22 | 1 | 1 | yes | characteristic |
| 38 | #6718 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #6717 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #6716 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #6715 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×C3⋊#168 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C3×#689 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C3×#688 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C3×#687 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C3×#686 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×C3×#168 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #6663 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #6661 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #6660 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #6659 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #6656 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #6655 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #6654 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #6652 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #6650 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #6650 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #6650 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #6650 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #5768 | — | 5 | 1 | no | maximal, Hall |
| 61 | C2×C5×#41 | — | 3 | 1 | no | — |
| 62 | C2×#709 | — | 3 | 1 | no | — |
| 63 | #4097 | — | 3 | 1 | no | — |
| 64 | #4097 | — | 3 | 1 | no | — |
| 65 | #4096 | — | 3 | 1 | no | — |
| 66 | #4096 | — | 3 | 1 | no | — |
| 67 | #4096 | — | 3 | 1 | no | — |
| 68 | #4096 | D3 | 1 | 1 | yes | characteristic, complemented |
| 69 | #4095 | — | 3 | 1 | no | — |
| 70 | #4095 | — | 3 | 1 | no | — |
| 71 | #4088 | — | 3 | 1 | no | — |
| 72 | #4088 | — | 3 | 1 | no | — |
| 73 | #4078 | — | 3 | 1 | no | — |
| 74 | #4078 | — | 3 | 1 | no | — |
| 75 | C2×#681 | — | 3 | 1 | no | — |
| 76 | C22×C5×D3 | — | 2 | 1 | no | — |
| 77 | C22×C5×D3 | D4 | 1 | 1 | yes | characteristic |
| 78 | C2×D3×D5 | — | 2 | 1 | no | — |
| 79 | C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 80 | C3×C5×D4 | — | 2 | 1 | no | — |
| 81 | C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 83 | C2×C3×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 84 | #1220 | — | 2 | 1 | no | — |
| 85 | D60 | C23 | 1 | 1 | yes | characteristic |
| 86 | C4×D15 | — | 2 | 1 | no | — |
| 87 | Dic30 | C23 | 1 | 1 | yes | characteristic |
| 88 | C5×#67 | — | 2 | 1 | no | — |
| 89 | C5×#67 | — | 2 | 1 | no | — |
| 90 | C5×#67 | — | 2 | 1 | no | — |
| 91 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 92 | C2×C5×Dic3 | D4 | 1 | 1 | yes | characteristic |
| 93 | C5×D12 | — | 2 | 1 | no | — |
| 94 | C5×D12 | C23 | 1 | 1 | yes | characteristic |
| 95 | C4×C5×D3 | — | 2 | 1 | no | — |
| 96 | C4×C5×D3 | — | 2 | 1 | no | — |
| 97 | C4×C5×D3 | — | 2 | 1 | no | — |
| 98 | C4×C5×D3 | D4 | 1 | 1 | yes | characteristic |
| 99 | C4×C5×D3 | D4 | 1 | 1 | yes | characteristic |
| 100 | C4×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 101 | C4×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 102 | C5×Dic6 | — | 2 | 1 | no | — |
| 103 | C5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 104 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 105 | C3×D20 | C23 | 1 | 1 | yes | characteristic |
| 106 | C3×C4×D5 | — | 2 | 1 | no | — |
| 107 | C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 108 | #1204 | — | 2 | 1 | no | — |
| 109 | #1203 | — | 2 | 1 | no | — |
| 110 | #1202 | — | 2 | 1 | no | — |
| 111 | #1201 | — | 2 | 1 | no | — |
| 112 | #1200 | — | 2 | 1 | no | — |
| 113 | D3×Dic5 | — | 2 | 1 | no | — |
| 114 | D5×Dic3 | — | 2 | 1 | no | — |
| 115 | C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 116 | C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 117 | C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 118 | C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 119 | D3×#41 | — | 5 | 1 | no | — |
| 120 | D3×#41 | D5 | 1 | 1 | yes | characteristic, complemented |
| 121 | C3×#135 | — | 5 | 1 | no | — |
| 122 | #950 | — | 5 | 1 | no | — |
| 123 | #950 | — | 5 | 1 | no | — |
| 124 | #918 | — | 5 | 1 | no | — |
| 125 | #918 | — | 5 | 1 | no | — |
| 126 | #915 | — | 5 | 1 | no | — |
| 127 | #915 | — | 5 | 1 | no | — |
| 128 | #914 | — | 5 | 1 | no | — |
| 129 | #914 | — | 5 | 1 | no | — |
| 130 | #911 | — | 5 | 1 | no | — |
| 131 | #911 | — | 5 | 1 | no | — |
| 132 | #904 | — | 5 | 1 | no | — |
| 133 | C2×ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 134 | C5×#41 | — | 3 | 1 | no | — |
| 135 | C5×#41 | — | 3 | 1 | no | — |
| 136 | C5×#41 | — | 3 | 1 | no | — |
| 137 | C5×#41 | — | 6 | 1 | no | — |
| 138 | C5×#41 | — | 6 | 1 | no | — |
| 139 | C5×#41 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 140 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 141 | C2×C5×D4 | — | 3 | 1 | no | — |
| 142 | C2×C5×D4 | — | 6 | 1 | no | — |
| 143 | C22×C4×C5 | — | 3 | 1 | no | — |
| 144 | C22×C4×C5 | — | 6 | 1 | no | — |
| 145 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 146 | #709 | — | 3 | 1 | no | — |
| 147 | #709 | — | 3 | 1 | no | — |
| 148 | #709 | — | 3 | 1 | no | — |
| 149 | #709 | — | 6 | 1 | no | — |
| 150 | #709 | — | 6 | 1 | no | — |
| 151 | #709 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 152 | C2×D20 | — | 3 | 1 | no | — |
| 153 | C2×C4×D5 | — | 6 | 1 | no | — |
| 154 | C2×Dic10 | — | 3 | 1 | no | — |
| 155 | #689 | — | 3 | 1 | no | — |
| 156 | #689 | — | 3 | 1 | no | — |
| 157 | #689 | — | 3 | 1 | no | — |
| 158 | #689 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 159 | #688 | — | 3 | 1 | no | — |
| 160 | #688 | — | 3 | 1 | no | — |
| 161 | #688 | — | 3 | 1 | no | — |
| 162 | #688 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 163 | #687 | — | 3 | 1 | no | — |
| 164 | #687 | — | 3 | 1 | no | — |
| 165 | #687 | — | 3 | 1 | no | — |
| 166 | #687 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 167 | #686 | — | 3 | 1 | no | — |
| 168 | #686 | — | 3 | 1 | no | — |
| 169 | #686 | — | 3 | 1 | no | — |
| 170 | #686 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 171 | #681 | — | 3 | 1 | no | — |
| 172 | #681 | — | 3 | 1 | no | — |
| 173 | #681 | — | 3 | 1 | no | — |
| 174 | #681 | — | 3 | 1 | no | — |
| 175 | C2×#168 | — | 3 | 1 | no | — |
| 176 | C2×#168 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 177 | #575 | — | 15 | 1 | no | Sylow |
| 178 | C22×C3×C5 | — | 2 | 1 | no | — |
| 179 | C22×C3×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C2×D15 | — | 2 | 1 | no | — |
| 181 | C2×C5×D3 | — | 2 | 1 | no | — |
| 182 | C2×C5×D3 | — | 4 | 1 | no | — |
| 183 | C2×C5×D3 | — | 4 | 2 | no | — |
| 184 | C2×C5×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C2×C5×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 186 | C2×C3×D5 | — | 2 | 1 | no | — |
| 187 | D3×D5 | — | 4 | 2 | no | — |
| 188 | C3×C4×C5 | — | 2 | 1 | no | — |
| 189 | C3×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 191 | Dic15 | — | 2 | 1 | no | — |
| 192 | C3×Dic5 | — | 2 | 1 | no | — |
| 193 | C5×Dic3 | — | 2 | 1 | no | — |
| 194 | C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C3×#41 | — | 5 | 1 | no | — |
| 197 | C3×#41 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 198 | #239 | — | 5 | 1 | no | — |
| 199 | #239 | C2×D5 | 1 | 1 | yes | characteristic |
| 200 | D3×Q8 | — | 5 | 1 | no | — |
| 201 | D3×Q8 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 202 | #237 | — | 2 | 1 | no | — |
| 203 | #237 | — | 5 | 1 | no | — |
| 204 | #237 | — | 10 | 1 | no | — |
| 205 | #237 | C2×D5 | 1 | 1 | yes | characteristic |
| 206 | D3×D4 | — | 2 | 1 | no | — |
| 207 | D3×D4 | — | 5 | 1 | no | — |
| 208 | D3×D4 | — | 10 | 1 | no | — |
| 209 | D3×D4 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 210 | #235 | — | 2 | 1 | no | — |
| 211 | #235 | — | 5 | 1 | no | — |
| 212 | #235 | — | 10 | 1 | no | — |
| 213 | #235 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 214 | C2×C4×D3 | — | 2 | 1 | no | — |
| 215 | C2×C4×D3 | — | 10 | 1 | no | — |
| 216 | C2×C4×D3 | C2×D5 | 1 | 1 | yes | characteristic |
| 217 | C3×Q16 | — | 5 | 1 | no | — |
| 218 | C3×SD16 | — | 5 | 1 | no | — |
| 219 | C3×SD16 | — | 5 | 1 | no | — |
| 220 | C3×D8 | — | 5 | 1 | no | — |
| 221 | C2×C3×C8 | — | 5 | 1 | no | — |
| 222 | #216 | — | 5 | 1 | no | — |
| 223 | #216 | — | 5 | 1 | no | — |
| 224 | #215 | — | 5 | 1 | no | — |
| 225 | #215 | — | 5 | 1 | no | — |
| 226 | #214 | — | 5 | 1 | no | — |
| 227 | #214 | — | 5 | 1 | no | — |
| 228 | #213 | — | 5 | 1 | no | — |
| 229 | #213 | — | 5 | 1 | no | — |
| 230 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 231 | Dic12 | — | 5 | 1 | no | — |
| 232 | D24 | — | 5 | 1 | no | — |
| 233 | #204 | — | 5 | 1 | no | — |
| 234 | #204 | — | 5 | 1 | no | — |
| 235 | ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 236 | ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 237 | ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 238 | ΓL(1,𝔽25) | — | 5 | 1 | no | — |
| 239 | C23×C5 | — | 3 | 1 | no | — |
| 240 | C23×C5 | — | 6 | 1 | no | — |
| 241 | C22×D5 | — | 6 | 1 | no | — |
| 242 | C5×Q8 | — | 3 | 1 | no | — |
| 243 | C5×Q8 | — | 6 | 1 | no | — |
| 244 | C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 245 | C5×D4 | — | 2 | 1 | no | — |
| 246 | C5×D4 | — | 3 | 1 | no | — |
| 247 | C5×D4 | — | 6 | 1 | no | — |
| 248 | C5×D4 | — | 6 | 1 | no | — |
| 249 | C5×D4 | — | 6 | 1 | no | — |
| 250 | C5×D4 | — | 6 | 1 | no | — |
| 251 | C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 252 | C2×C4×C5 | — | 2 | 1 | no | — |
| 253 | C2×C4×C5 | — | 3 | 1 | no | — |
| 254 | C2×C4×C5 | — | 3 | 1 | no | — |
| 255 | C2×C4×C5 | — | 3 | 1 | no | — |
| 256 | C2×C4×C5 | — | 3 | 1 | no | — |
| 257 | C2×C4×C5 | — | 3 | 1 | no | — |
| 258 | C2×C4×C5 | — | 6 | 1 | no | — |
| 259 | C2×C4×C5 | — | 6 | 1 | no | — |
| 260 | C2×C4×C5 | — | 6 | 1 | no | — |
| 261 | C2×C4×C5 | — | 6 | 1 | no | — |
| 262 | C2×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 263 | C22⋊D5 | — | 2 | 1 | no | — |
| 264 | C22⋊D5 | — | 6 | 1 | no | — |
| 265 | C22⋊D5 | — | 6 | 1 | no | — |
| 266 | C22⋊D5 | — | 6 | 1 | no | — |
| 267 | C2×Dic5 | — | 6 | 1 | no | — |
| 268 | D20 | — | 3 | 1 | no | — |
| 269 | D20 | — | 6 | 1 | no | — |
| 270 | D20 | C22×D3 | 1 | 1 | yes | characteristic |
| 271 | C4×D5 | — | 2 | 1 | no | — |
| 272 | C4×D5 | — | 6 | 1 | no | — |
| 273 | C4×D5 | — | 6 | 1 | no | — |
| 274 | C4×D5 | — | 6 | 1 | no | — |
| 275 | Dic10 | — | 3 | 1 | no | — |
| 276 | Dic10 | — | 6 | 1 | no | — |
| 277 | Dic10 | C22×D3 | 1 | 1 | yes | characteristic |
| 278 | #168 | — | 3 | 1 | no | — |
| 279 | #168 | — | 3 | 1 | no | — |
| 280 | #168 | C22×D3 | 1 | 1 | yes | characteristic |
| 281 | #168 | C22×D3 | 1 | 1 | yes | characteristic |
| 282 | C2×#41 | — | 3 | 1 | no | — |
| 283 | C2×#41 | — | 15 | 1 | no | — |
| 284 | #137 | — | 15 | 1 | no | — |
| 285 | #137 | — | 15 | 1 | no | — |
| 286 | #137 | — | 15 | 1 | no | — |
| 287 | #137 | — | 15 | 1 | no | — |
| 288 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 289 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 290 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 291 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 292 | #135 | — | 5 | 1 | no | — |
| 293 | #135 | — | 15 | 1 | no | — |
| 294 | #135 | — | 15 | 1 | no | — |
| 295 | #135 | — | 15 | 1 | no | — |
| 296 | C2×M16 | — | 15 | 1 | no | — |
| 297 | C2×C3×C5 | — | 2 | 1 | no | — |
| 298 | C2×C3×C5 | — | 4 | 1 | no | — |
| 299 | C2×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 300 | D15 | — | 4 | 1 | no | — |
| 301 | C3×D5 | — | 4 | 1 | no | — |
| 302 | C5×D3 | — | 2 | 1 | no | — |
| 303 | C5×D3 | — | 2 | 1 | no | — |
| 304 | C5×D3 | — | 4 | 1 | no | — |
| 305 | C22×D3 | — | 2 | 1 | no | — |
| 306 | C22×D3 | — | 10 | 1 | no | — |
| 307 | C22×D3 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 308 | C3×Q8 | — | 5 | 1 | no | — |
| 309 | C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 310 | C3×D4 | — | 2 | 1 | no | — |
| 311 | C3×D4 | — | 5 | 1 | no | — |
| 312 | C3×D4 | — | 10 | 1 | no | — |
| 313 | C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 314 | C2×C3×C4 | — | 2 | 1 | no | — |
| 315 | C2×C3×C4 | — | 10 | 1 | no | — |
| 316 | C2×C3×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 317 | #67 | — | 2 | 1 | no | — |
| 318 | #67 | — | 2 | 1 | no | — |
| 319 | #67 | — | 2 | 1 | no | — |
| 320 | #67 | — | 10 | 1 | no | — |
| 321 | #67 | — | 10 | 1 | no | — |
| 322 | #67 | — | 10 | 1 | no | — |
| 323 | C2×Dic3 | — | 2 | 1 | no | — |
| 324 | C2×Dic3 | — | 10 | 1 | no | — |
| 325 | C2×Dic3 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 326 | D12 | — | 2 | 1 | no | — |
| 327 | D12 | — | 5 | 1 | no | — |
| 328 | D12 | — | 10 | 1 | no | — |
| 329 | D12 | C22×D5 | 1 | 1 | yes | characteristic |
| 330 | C4×D3 | — | 2 | 1 | no | — |
| 331 | C4×D3 | — | 2 | 1 | no | — |
| 332 | C4×D3 | — | 2 | 1 | no | — |
| 333 | C4×D3 | — | 10 | 1 | no | — |
| 334 | C4×D3 | — | 10 | 1 | no | — |
| 335 | C4×D3 | — | 10 | 1 | no | — |
| 336 | C4×D3 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 337 | C4×D3 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 338 | C4×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 339 | C4×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 340 | Dic6 | — | 2 | 1 | no | — |
| 341 | Dic6 | — | 5 | 1 | no | — |
| 342 | Dic6 | — | 10 | 1 | no | — |
| 343 | Dic6 | C22×D5 | 1 | 1 | yes | characteristic |
| 344 | C3×C8 | — | 5 | 1 | no | — |
| 345 | C3×C8 | — | 5 | 1 | no | — |
| 346 | C3⋊C8 | — | 5 | 1 | no | — |
| 347 | C3⋊C8 | — | 5 | 1 | no | — |
| 348 | C22×C5 | — | 2 | 1 | no | — |
| 349 | C22×C5 | — | 3 | 1 | no | — |
| 350 | C22×C5 | — | 3 | 1 | no | — |
| 351 | C22×C5 | — | 6 | 1 | no | — |
| 352 | C22×C5 | — | 12 | 1 | no | — |
| 353 | C22×C5 | — | 12 | 2 | no | — |
| 354 | C22×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 355 | C2×D5 | — | 2 | 1 | no | — |
| 356 | C2×D5 | — | 6 | 1 | no | — |
| 357 | C2×D5 | — | 12 | 2 | no | — |
| 358 | C4×C5 | — | 2 | 1 | no | — |
| 359 | C4×C5 | — | 3 | 1 | no | — |
| 360 | C4×C5 | — | 3 | 1 | no | — |
| 361 | C4×C5 | — | 6 | 1 | no | — |
| 362 | C4×C5 | D3×D4 | 1 | 1 | yes | characteristic |
| 363 | C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 364 | Dic5 | — | 2 | 1 | no | — |
| 365 | Dic5 | — | 6 | 1 | no | — |
| 366 | #41 | — | 3 | 1 | no | — |
| 367 | #41 | — | 3 | 1 | no | — |
| 368 | #41 | — | 3 | 1 | no | — |
| 369 | #41 | — | 5 | 1 | no | — |
| 370 | #41 | — | 6 | 1 | no | — |
| 371 | #41 | — | 6 | 1 | no | — |
| 372 | #41 | — | 15 | 1 | no | — |
| 373 | #41 | — | 15 | 1 | no | — |
| 374 | #41 | — | 15 | 1 | no | — |
| 375 | #41 | — | 30 | 1 | no | — |
| 376 | #41 | — | 30 | 1 | no | — |
| 377 | #41 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 378 | C2×Q8 | — | 3 | 1 | no | — |
| 379 | C2×Q8 | — | 15 | 1 | no | — |
| 380 | C2×D4 | — | 3 | 1 | no | — |
| 381 | C2×D4 | — | 6 | 1 | no | — |
| 382 | C2×D4 | — | 15 | 1 | no | — |
| 383 | C2×D4 | — | 30 | 1 | no | — |
| 384 | C22×C4 | — | 3 | 1 | no | — |
| 385 | C22×C4 | — | 6 | 1 | no | — |
| 386 | C22×C4 | — | 30 | 1 | no | — |
| 387 | Q16 | — | 5 | 1 | no | — |
| 388 | Q16 | — | 15 | 1 | no | — |
| 389 | Q16 | — | 15 | 1 | no | — |
| 390 | Q16 | — | 15 | 1 | no | — |
| 391 | SD16 | — | 5 | 1 | no | — |
| 392 | SD16 | — | 5 | 1 | no | — |
| 393 | SD16 | — | 15 | 1 | no | — |
| 394 | SD16 | — | 15 | 1 | no | — |
| 395 | SD16 | — | 15 | 1 | no | — |
| 396 | SD16 | — | 15 | 1 | no | — |
| 397 | SD16 | — | 15 | 1 | no | — |
| 398 | SD16 | — | 15 | 1 | no | — |
| 399 | D8 | — | 5 | 1 | no | — |
| 400 | D8 | — | 15 | 1 | no | — |
| 401 | D8 | — | 15 | 1 | no | — |
| 402 | D8 | — | 15 | 1 | no | — |
| 403 | M16 | — | 15 | 1 | no | — |
| 404 | M16 | — | 15 | 1 | no | — |
| 405 | M16 | — | 15 | 1 | no | — |
| 406 | M16 | — | 15 | 1 | no | — |
| 407 | C2×C8 | — | 5 | 1 | no | — |
| 408 | C2×C8 | — | 15 | 1 | no | — |
| 409 | C3×C5 | #575 | 1 | 1 | yes | characteristic, complemented, Hall |
| 410 | C22×C3 | — | 2 | 1 | no | — |
| 411 | C22×C3 | — | 10 | 1 | no | — |
| 412 | C22×C3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 413 | C2×D3 | — | 2 | 1 | no | — |
| 414 | C2×D3 | — | 4 | 1 | no | — |
| 415 | C2×D3 | — | 4 | 2 | no | — |
| 416 | C2×D3 | — | 10 | 1 | no | — |
| 417 | C2×D3 | — | 20 | 2 | no | — |
| 418 | C2×D3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 419 | C2×D3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 420 | C3×C4 | — | 2 | 1 | no | — |
| 421 | C3×C4 | — | 10 | 1 | no | — |
| 422 | C3×C4 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 423 | C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 424 | Dic3 | — | 2 | 1 | no | — |
| 425 | Dic3 | — | 10 | 1 | no | — |
| 426 | Dic3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 427 | Dic3 | C2×C22⋊D5 | 1 | 1 | yes | characteristic |
| 428 | C2×C5 | — | 2 | 1 | no | — |
| 429 | C2×C5 | — | 4 | 1 | no | — |
| 430 | C2×C5 | — | 6 | 1 | no | — |
| 431 | C2×C5 | — | 6 | 1 | no | — |
| 432 | C2×C5 | — | 12 | 1 | no | — |
| 433 | C2×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 434 | D5 | — | 4 | 1 | no | — |
| 435 | D5 | — | 12 | 1 | no | — |
| 436 | C23 | — | 3 | 1 | no | — |
| 437 | C23 | — | 6 | 1 | no | — |
| 438 | C23 | — | 30 | 1 | no | — |
| 439 | Q8 | — | 3 | 1 | no | — |
| 440 | Q8 | — | 5 | 1 | no | — |
| 441 | Q8 | — | 6 | 1 | no | — |
| 442 | Q8 | — | 15 | 1 | no | — |
| 443 | Q8 | — | 30 | 1 | no | — |
| 444 | Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 445 | D4 | — | 2 | 1 | no | — |
| 446 | D4 | — | 3 | 1 | no | — |
| 447 | D4 | — | 5 | 1 | no | — |
| 448 | D4 | — | 6 | 1 | no | — |
| 449 | D4 | — | 6 | 1 | no | — |
| 450 | D4 | — | 6 | 1 | no | — |
| 451 | D4 | — | 6 | 1 | no | — |
| 452 | D4 | — | 10 | 1 | no | — |
| 453 | D4 | — | 15 | 1 | no | — |
| 454 | D4 | — | 30 | 1 | no | — |
| 455 | D4 | — | 30 | 1 | no | — |
| 456 | D4 | — | 30 | 1 | no | — |
| 457 | D4 | — | 30 | 1 | no | — |
| 458 | D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 459 | C2×C4 | — | 2 | 1 | no | — |
| 460 | C2×C4 | — | 3 | 1 | no | — |
| 461 | C2×C4 | — | 3 | 1 | no | — |
| 462 | C2×C4 | — | 3 | 1 | no | — |
| 463 | C2×C4 | — | 3 | 1 | no | — |
| 464 | C2×C4 | — | 3 | 1 | no | — |
| 465 | C2×C4 | — | 6 | 1 | no | — |
| 466 | C2×C4 | — | 6 | 1 | no | — |
| 467 | C2×C4 | — | 6 | 1 | no | — |
| 468 | C2×C4 | — | 6 | 1 | no | — |
| 469 | C2×C4 | — | 10 | 1 | no | — |
| 470 | C2×C4 | — | 30 | 1 | no | — |
| 471 | C2×C4 | — | 30 | 1 | no | — |
| 472 | C2×C4 | — | 30 | 1 | no | — |
| 473 | C2×C4 | — | 30 | 1 | no | — |
| 474 | C2×C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 475 | C8 | — | 5 | 1 | no | — |
| 476 | C8 | — | 5 | 1 | no | — |
| 477 | C8 | — | 15 | 1 | no | — |
| 478 | C8 | — | 15 | 1 | no | — |
| 479 | C2×C3 | — | 2 | 1 | no | — |
| 480 | C2×C3 | — | 4 | 1 | no | — |
| 481 | C2×C3 | — | 20 | 1 | no | — |
| 482 | C2×C3 | C22×C22⋊D5 | 1 | 1 | yes | characteristic |
| 483 | D3 | — | 2 | 1 | no | — |
| 484 | D3 | — | 2 | 1 | no | — |
| 485 | D3 | — | 4 | 1 | no | — |
| 486 | D3 | — | 20 | 1 | no | — |
| 487 | C5 | #5768 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 488 | C22 | — | 2 | 1 | no | — |
| 489 | C22 | — | 3 | 1 | no | — |
| 490 | C22 | — | 3 | 1 | no | — |
| 491 | C22 | — | 6 | 1 | no | — |
| 492 | C22 | — | 10 | 1 | no | — |
| 493 | C22 | — | 12 | 1 | no | — |
| 494 | C22 | — | 12 | 2 | no | — |
| 495 | C22 | — | 30 | 1 | no | — |
| 496 | C22 | — | 60 | 2 | no | — |
| 497 | C22 | D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 498 | C4 | — | 2 | 1 | no | — |
| 499 | C4 | — | 3 | 1 | no | — |
| 500 | C4 | — | 3 | 1 | no | — |
| 501 | C4 | — | 6 | 1 | no | — |
| 502 | C4 | — | 10 | 1 | no | — |
| 503 | C4 | — | 30 | 1 | no | — |
| 504 | C4 | D3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 505 | C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 506 | C3 | #66156 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 507 | C2 | — | 2 | 1 | no | — |
| 508 | C2 | — | 4 | 1 | no | — |
| 509 | C2 | — | 6 | 1 | no | — |
| 510 | C2 | — | 6 | 1 | no | — |
| 511 | C2 | — | 12 | 1 | no | — |
| 512 | C2 | — | 20 | 1 | no | — |
| 513 | C2 | — | 60 | 1 | no | — |
| 514 | C2 | C2×D3×C22⋊D5 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta