| 1 | C3×#66266 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11756812 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | D5×#951 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #11752453 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #11751968 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | AGL(1,𝔽5)×#216 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11751944 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | AGL(1,𝔽5)×#214 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11751727 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#91153 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11751697 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10617451 | — | 3 | 1 | no | maximal, Hall |
| 13 | C3×D5×#41 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×D5×Dic6 | C22 | 1 | 1 | yes | characteristic |
| 15 | #91989 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×D5⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 17 | C3×Q8×AGL(1,𝔽5) | C22 | 1 | 2 | yes | — |
| 18 | C3×D4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 19 | C3×D4×AGL(1,𝔽5) | C22 | 1 | 2 | yes | — |
| 20 | C3×#4130 | — | 2 | 1 | no | — |
| 21 | C3×#4130 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 23 | C2×C3×C4⋊AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 24 | #91923 | — | 2 | 2 | no | — |
| 25 | ΓL(1,𝔽16)⋊Q8 | — | 2 | 1 | no | — |
| 26 | ΓL(1,𝔽16)⋊Q8 | — | 2 | 1 | no | — |
| 27 | AGL(1,𝔽5)×Dic6 | C22 | 1 | 2 | yes | — |
| 28 | AGL(1,𝔽5)×Dic6 | C22 | 1 | 2 | yes | — |
| 29 | #91840 | C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | C5×#951 | C4 | 1 | 1 | yes | characteristic, complemented |
| 31 | #91508 | C4 | 1 | 2 | yes | complemented |
| 32 | D5×#216 | C22 | 1 | 2 | yes | — |
| 33 | #91484 | C4 | 1 | 2 | yes | complemented |
| 34 | D5×#214 | C22 | 1 | 2 | yes | — |
| 35 | #91313 | C4 | 1 | 1 | yes | characteristic, complemented |
| 36 | #91307 | C4 | 1 | 1 | yes | characteristic, complemented |
| 37 | D5×#208 | C22 | 1 | 1 | yes | characteristic |
| 38 | #91238 | C22 | 1 | 1 | yes | characteristic |
| 39 | #91238 | C22 | 1 | 1 | yes | characteristic |
| 40 | #91236 | C22 | 1 | 1 | yes | characteristic |
| 41 | #91236 | C22 | 1 | 1 | yes | characteristic |
| 42 | #91160 | C22 | 1 | 2 | yes | — |
| 43 | #91159 | C22 | 1 | 2 | yes | — |
| 44 | #91153 | C22 | 1 | 2 | yes | — |
| 45 | #91153 | C22 | 1 | 2 | yes | — |
| 46 | #91149 | C22 | 1 | 2 | yes | — |
| 47 | AGL(1,𝔽5)×C3⋊C8 | C22 | 1 | 2 | yes | — |
| 48 | #82571 | — | 5 | 1 | no | maximal, Hall |
| 49 | #66266 | D3 | 1 | 1 | yes | characteristic |
| 50 | #66262 | — | 3 | 1 | no | — |
| 51 | D5×#137 | — | 3 | 1 | no | — |
| 52 | #65794 | — | 3 | 1 | no | — |
| 53 | C2×#4009 | — | 3 | 1 | no | — |
| 54 | #65739 | — | 3 | 2 | no | — |
| 55 | Q16×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 56 | #65735 | — | 3 | 2 | no | — |
| 57 | SD16×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 58 | #65728 | — | 3 | 1 | no | — |
| 59 | #65727 | — | 3 | 1 | no | — |
| 60 | C22×C3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 61 | C22×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 62 | C3×C5×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | C2×Dic30 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2×C5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 65 | C3×#713 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | C3×Q8×D5 | C23 | 1 | 1 | yes | characteristic |
| 67 | C3×#711 | — | 2 | 1 | no | — |
| 68 | C3×#711 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | C3×D4×D5 | — | 2 | 1 | no | — |
| 70 | C3×D4×D5 | C23 | 1 | 1 | yes | characteristic |
| 71 | C3×#709 | — | 2 | 1 | no | — |
| 72 | C3×#709 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | C2×C3×C4×D5 | — | 2 | 1 | no | — |
| 74 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×#1204 | — | 2 | 1 | no | — |
| 76 | C2×D5×Dic3 | — | 2 | 1 | no | — |
| 77 | D5×Dic6 | — | 2 | 1 | no | — |
| 78 | D5×Dic6 | — | 2 | 1 | no | — |
| 79 | D5×Dic6 | C2×C4 | 1 | 2 | yes | complemented |
| 80 | D5×Dic6 | C23 | 1 | 2 | yes | — |
| 81 | #6763 | — | 2 | 1 | no | — |
| 82 | C2×C3⋊#170 | — | 2 | 1 | no | — |
| 83 | C4⋊ΓL(1,𝔽16) | C23 | 1 | 1 | yes | characteristic |
| 84 | C4⋊ΓL(1,𝔽16) | C23 | 1 | 1 | yes | characteristic |
| 85 | C4×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 86 | D5⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 87 | D5⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 88 | D5⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 89 | C3×C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 90 | C3×C22⋊AGL(1,𝔽5) | D4 | 1 | 2 | yes | — |
| 91 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 92 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 93 | C3×C4⋊AGL(1,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 94 | C3×C4⋊AGL(1,𝔽5) | D4 | 1 | 1 | yes | characteristic |
| 95 | C3×C4⋊AGL(1,𝔽5) | C23 | 1 | 2 | yes | — |
| 96 | C3×C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 97 | C3×C4×AGL(1,𝔽5) | C23 | 1 | 2 | yes | — |
| 98 | Dic3⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 99 | Dic3⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 100 | Dic3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 101 | Dic3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 102 | #6718 | C2×C4 | 1 | 2 | yes | complemented |
| 103 | #6716 | C2×C4 | 1 | 2 | yes | complemented |
| 104 | #6710 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 105 | C5×#216 | C2×C4 | 1 | 2 | yes | complemented |
| 106 | C5×#214 | C2×C4 | 1 | 2 | yes | complemented |
| 107 | C5×#208 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 108 | #6662 | C2×C4 | 1 | 2 | yes | complemented |
| 109 | #6661 | C2×C4 | 1 | 2 | yes | complemented |
| 110 | #6657 | C2×C4 | 1 | 2 | yes | complemented |
| 111 | #6655 | C2×C4 | 1 | 2 | yes | complemented |
| 112 | #6649 | C2×C4 | 1 | 2 | yes | complemented |
| 113 | D5×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 114 | C3×#520 | — | 5 | 1 | no | — |
| 115 | C2×#951 | — | 5 | 1 | no | — |
| 116 | #5516 | — | 5 | 1 | no | — |
| 117 | #5233 | — | 5 | 1 | no | — |
| 118 | #5030 | — | 5 | 2 | no | — |
| 119 | C4×#216 | — | 5 | 2 | no | — |
| 120 | #5018 | — | 5 | 2 | no | — |
| 121 | C4×#214 | — | 5 | 2 | no | — |
| 122 | #4997 | — | 5 | 1 | no | — |
| 123 | C2×#810 | — | 5 | 1 | no | — |
| 124 | #4964 | — | 5 | 1 | no | — |
| 125 | D5×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 126 | C2×Q8×D5 | — | 3 | 1 | no | — |
| 127 | Q8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 128 | Q8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 129 | Q8×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 130 | Q8×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 131 | Q8×AGL(1,𝔽5) | C2×D3 | 1 | 2 | yes | — |
| 132 | D4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 133 | D4×AGL(1,𝔽5) | C2×D3 | 1 | 2 | yes | — |
| 134 | #4130 | — | 2 | 1 | no | — |
| 135 | #4130 | — | 3 | 1 | no | — |
| 136 | #4130 | — | 6 | 2 | no | — |
| 137 | #4130 | C2×D3 | 1 | 1 | yes | characteristic |
| 138 | C2×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 139 | C2×C4⋊AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 140 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 141 | C5×#137 | — | 3 | 1 | no | — |
| 142 | #4097 | — | 3 | 1 | no | — |
| 143 | #4088 | — | 3 | 1 | no | — |
| 144 | #4064 | — | 3 | 2 | no | — |
| 145 | D5×Q16 | — | 3 | 2 | no | — |
| 146 | #4061 | — | 3 | 2 | no | — |
| 147 | D5×SD16 | — | 3 | 2 | no | — |
| 148 | #4055 | — | 3 | 1 | no | — |
| 149 | D5×M16 | — | 3 | 1 | no | — |
| 150 | #4009 | — | 3 | 1 | no | — |
| 151 | #4009 | — | 3 | 1 | no | — |
| 152 | #4009 | — | 3 | 2 | no | — |
| 153 | #4009 | — | 3 | 2 | no | — |
| 154 | #4007 | — | 3 | 1 | no | — |
| 155 | #4007 | — | 3 | 1 | no | — |
| 156 | #3994 | — | 3 | 2 | no | — |
| 157 | #3993 | — | 3 | 2 | no | — |
| 158 | #3992 | — | 3 | 2 | no | — |
| 159 | C8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 160 | #2947 | — | 15 | 1 | no | Sylow |
| 161 | C22×C3×D5 | — | 2 | 1 | no | — |
| 162 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 164 | C2×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 165 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 166 | C2×C3×AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 167 | C2×C3×AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 168 | C2×C3×AGL(1,𝔽5) | C2×D4 | 1 | 2 | yes | — |
| 169 | C2×C3×AGL(1,𝔽5) | C2×D4 | 1 | 2 | yes | — |
| 170 | C3×C5×Q8 | C22×C4 | 1 | 1 | yes | characteristic |
| 171 | C3×C5×D4 | — | 2 | 1 | no | — |
| 172 | C3×C5×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 173 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 174 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 175 | C2×Dic15 | — | 2 | 1 | no | — |
| 176 | Dic30 | — | 2 | 1 | no | — |
| 177 | Dic30 | C22×C4 | 1 | 2 | yes | — |
| 178 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 179 | C5×Dic6 | — | 2 | 1 | no | — |
| 180 | C5×Dic6 | C22×C4 | 1 | 2 | yes | — |
| 181 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 182 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 183 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 184 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 185 | C2×C3×Dic5 | #41 | 1 | 1 | yes | characteristic |
| 186 | C3×D20 | — | 2 | 1 | no | — |
| 187 | C3×D20 | C22×C4 | 1 | 1 | yes | characteristic |
| 188 | C3×C4×D5 | — | 2 | 1 | no | — |
| 189 | C3×C4×D5 | — | 2 | 1 | no | — |
| 190 | C3×C4×D5 | — | 2 | 1 | no | — |
| 191 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 192 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C3×C4×D5 | #41 | 1 | 1 | yes | characteristic |
| 194 | C3×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 195 | C3×Dic10 | — | 2 | 1 | no | — |
| 196 | C3×Dic10 | C22×C4 | 1 | 1 | yes | characteristic |
| 197 | #1204 | — | 2 | 2 | no | — |
| 198 | #1204 | — | 2 | 2 | no | — |
| 199 | D5×Dic3 | — | 2 | 2 | no | — |
| 200 | D5×Dic3 | — | 2 | 2 | no | — |
| 201 | C3⋊#170 | — | 2 | 1 | no | — |
| 202 | C3⋊#170 | — | 2 | 1 | no | — |
| 203 | C3⋊#168 | C22×C4 | 1 | 2 | yes | — |
| 204 | C5×C3⋊C8 | C22×C4 | 1 | 2 | yes | — |
| 205 | C2×C3×#41 | — | 5 | 1 | no | — |
| 206 | C22×Dic6 | — | 5 | 1 | no | — |
| 207 | C3×C4×Q8 | — | 5 | 2 | no | — |
| 208 | C3×C4×D4 | — | 5 | 2 | no | — |
| 209 | C3×C4×D4 | — | 10 | 2 | no | — |
| 210 | C3×#117 | — | 5 | 1 | no | — |
| 211 | C3×#117 | — | 10 | 1 | no | — |
| 212 | C2×C3×C4⋊C4 | — | 5 | 1 | no | — |
| 213 | C2×C3×C4⋊C4 | — | 10 | 1 | no | — |
| 214 | #951 | — | 5 | 1 | no | — |
| 215 | #951 | — | 5 | 1 | no | — |
| 216 | #951 | — | 5 | 2 | no | — |
| 217 | #951 | — | 5 | 2 | no | — |
| 218 | #951 | — | 5 | 1 | no | — |
| 219 | #951 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 220 | C2×#216 | — | 5 | 2 | no | — |
| 221 | C2×#214 | — | 5 | 2 | no | — |
| 222 | #926 | — | 5 | 1 | no | — |
| 223 | C2×#208 | — | 5 | 1 | no | — |
| 224 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 225 | #887 | — | 10 | 1 | no | — |
| 226 | #887 | — | 10 | 1 | no | — |
| 227 | #877 | — | 10 | 2 | no | — |
| 228 | C4×Dic6 | — | 5 | 2 | no | — |
| 229 | C4×Dic6 | — | 5 | 2 | no | — |
| 230 | #835 | — | 5 | 1 | no | — |
| 231 | #835 | — | 5 | 1 | no | — |
| 232 | #832 | — | 5 | 1 | no | — |
| 233 | #832 | — | 5 | 1 | no | — |
| 234 | #810 | — | 5 | 2 | no | — |
| 235 | #810 | — | 5 | 2 | no | — |
| 236 | #808 | — | 5 | 2 | no | — |
| 237 | #807 | — | 5 | 2 | no | — |
| 238 | #803 | — | 5 | 2 | no | — |
| 239 | C4×C3⋊C8 | — | 5 | 2 | no | — |
| 240 | C22×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 241 | C22×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 242 | C5×#41 | C4×D3 | 1 | 1 | yes | characteristic |
| 243 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 244 | #713 | C4×D3 | 1 | 1 | yes | characteristic |
| 245 | Q8×D5 | — | 3 | 2 | no | — |
| 246 | Q8×D5 | — | 3 | 2 | no | — |
| 247 | Q8×D5 | — | 6 | 1 | no | — |
| 248 | Q8×D5 | — | 6 | 1 | no | — |
| 249 | Q8×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 250 | #711 | — | 2 | 1 | no | — |
| 251 | #711 | C4×D3 | 1 | 1 | yes | characteristic |
| 252 | D4×D5 | — | 2 | 1 | no | — |
| 253 | D4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 254 | #709 | — | 2 | 1 | no | — |
| 255 | #709 | C4×D3 | 1 | 1 | yes | characteristic |
| 256 | C2×C4×D5 | — | 2 | 1 | no | — |
| 257 | C2×C4×D5 | — | 6 | 1 | no | — |
| 258 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 259 | C2×Dic10 | — | 3 | 1 | no | — |
| 260 | C2×Dic10 | — | 6 | 1 | no | — |
| 261 | C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 262 | C22⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 263 | C22⋊AGL(1,𝔽5) | #67 | 1 | 2 | yes | — |
| 264 | C2×#170 | — | 6 | 1 | no | — |
| 265 | C4⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 266 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 267 | C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 268 | C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 269 | C4⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 270 | C4⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 271 | C4⋊AGL(1,𝔽5) | #67 | 1 | 1 | yes | characteristic |
| 272 | C4⋊AGL(1,𝔽5) | #67 | 1 | 1 | yes | characteristic |
| 273 | C4⋊AGL(1,𝔽5) | C22×D3 | 1 | 2 | yes | — |
| 274 | C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 275 | C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 276 | C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 277 | C4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 278 | C4×AGL(1,𝔽5) | C22×D3 | 1 | 2 | yes | — |
| 279 | D5⋊C8 | — | 3 | 1 | no | — |
| 280 | D5⋊C8 | — | 3 | 1 | no | — |
| 281 | D5⋊C8 | — | 6 | 1 | no | — |
| 282 | C5×Q16 | — | 3 | 2 | no | — |
| 283 | C5×SD16 | — | 3 | 2 | no | — |
| 284 | C5×M16 | — | 3 | 1 | no | — |
| 285 | #689 | — | 3 | 2 | no | — |
| 286 | #689 | — | 3 | 2 | no | — |
| 287 | #688 | — | 3 | 2 | no | — |
| 288 | #687 | — | 3 | 2 | no | — |
| 289 | #681 | — | 3 | 1 | no | — |
| 290 | Dic20 | — | 3 | 2 | no | — |
| 291 | #677 | — | 3 | 2 | no | — |
| 292 | #676 | — | 3 | 2 | no | — |
| 293 | C8×D5 | — | 3 | 2 | no | — |
| 294 | C2×#137 | — | 15 | 1 | no | — |
| 295 | #520 | — | 5 | 1 | no | — |
| 296 | #519 | — | 15 | 1 | no | — |
| 297 | #441 | — | 15 | 2 | no | — |
| 298 | #440 | — | 15 | 2 | no | — |
| 299 | C4×Q16 | — | 15 | 2 | no | — |
| 300 | C4×SD16 | — | 15 | 2 | no | — |
| 301 | #428 | — | 15 | 1 | no | — |
| 302 | #416 | — | 15 | 1 | no | — |
| 303 | C2×#103 | — | 15 | 1 | no | — |
| 304 | #405 | — | 15 | 1 | no | — |
| 305 | C22×C3×C5 | — | 2 | 1 | no | — |
| 306 | C22×C3×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 307 | C2×C3×D5 | — | 2 | 1 | no | — |
| 308 | C2×C3×D5 | — | 2 | 1 | no | — |
| 309 | C2×C3×D5 | — | 2 | 1 | no | — |
| 310 | C2×C3×D5 | — | 4 | 1 | no | — |
| 311 | C2×C3×D5 | — | 4 | 1 | no | — |
| 312 | C2×C3×D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 313 | C2×C3×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 314 | ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 315 | ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 316 | C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 317 | C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 318 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 319 | C3×C4×C5 | — | 2 | 1 | no | — |
| 320 | C3×C4×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 321 | C3×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 322 | Dic15 | — | 2 | 2 | no | — |
| 323 | C3×Dic5 | — | 2 | 1 | no | — |
| 324 | C3×Dic5 | C4×D4 | 1 | 1 | yes | characteristic |
| 325 | C3×Dic5 | C2×#41 | 1 | 1 | yes | characteristic |
| 326 | C5×Dic3 | — | 2 | 2 | no | — |
| 327 | C3×#41 | — | 5 | 1 | no | — |
| 328 | C3×#41 | — | 5 | 1 | no | — |
| 329 | C3×#41 | — | 5 | 1 | no | — |
| 330 | C3×#41 | — | 10 | 1 | no | — |
| 331 | C3×#41 | — | 10 | 1 | no | — |
| 332 | C3×#41 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 333 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 334 | C2×C3×D4 | — | 5 | 1 | no | — |
| 335 | C2×C3×D4 | — | 10 | 1 | no | — |
| 336 | C22×C3×C4 | — | 5 | 1 | no | — |
| 337 | C22×C3×C4 | — | 10 | 1 | no | — |
| 338 | C22×C3×C4 | — | 10 | 2 | no | — |
| 339 | C22×C3×C4 | — | 10 | 1 | no | — |
| 340 | C22×Dic3 | — | 10 | 1 | no | — |
| 341 | C2×Dic6 | — | 5 | 1 | no | — |
| 342 | C2×Dic6 | — | 5 | 2 | no | — |
| 343 | C2×Dic6 | — | 5 | 2 | no | — |
| 344 | C2×Dic6 | — | 10 | 1 | no | — |
| 345 | C2×Dic6 | — | 10 | 1 | no | — |
| 346 | C2×Dic6 | — | 10 | 1 | no | — |
| 347 | C2×Dic6 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 348 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 349 | C3×C4⋊C4 | — | 5 | 1 | no | — |
| 350 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 351 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 352 | C3×C4⋊C4 | — | 10 | 2 | no | — |
| 353 | C3×C22⋊C4 | — | 5 | 2 | no | — |
| 354 | C3×C22⋊C4 | — | 10 | 2 | no | — |
| 355 | C3×C42 | — | 5 | 2 | no | — |
| 356 | C3×C42 | — | 10 | 2 | no | — |
| 357 | #217 | — | 10 | 1 | no | — |
| 358 | #216 | — | 5 | 2 | no | — |
| 359 | #216 | — | 5 | 2 | no | — |
| 360 | #216 | — | 5 | 2 | no | — |
| 361 | #216 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 362 | #214 | — | 5 | 2 | no | — |
| 363 | #214 | — | 5 | 2 | no | — |
| 364 | #214 | — | 5 | 2 | no | — |
| 365 | #214 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 366 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 367 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 368 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 369 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 370 | C4×Dic3 | — | 10 | 2 | no | — |
| 371 | C4×Dic3 | — | 10 | 2 | no | — |
| 372 | C4×Dic3 | — | 10 | 1 | no | — |
| 373 | #208 | — | 5 | 1 | no | — |
| 374 | #208 | — | 5 | 2 | no | — |
| 375 | #208 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 376 | C2×C3⋊C8 | — | 5 | 2 | no | — |
| 377 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 378 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 379 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 380 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 381 | C22×D5 | — | 2 | 1 | no | — |
| 382 | C22×D5 | C2×#67 | 1 | 1 | yes | characteristic |
| 383 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 384 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 385 | C2×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 386 | C2×AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 387 | C2×AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 388 | C2×AGL(1,𝔽5) | C2×#67 | 1 | 2 | yes | — |
| 389 | C2×AGL(1,𝔽5) | C2×#67 | 1 | 2 | yes | — |
| 390 | C5×Q8 | — | 3 | 2 | no | — |
| 391 | C5×Q8 | — | 6 | 1 | no | — |
| 392 | C5×Q8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 393 | C5×D4 | — | 2 | 1 | no | — |
| 394 | C5×D4 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 395 | C2×C4×C5 | — | 2 | 1 | no | — |
| 396 | C2×C4×C5 | — | 6 | 1 | no | — |
| 397 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 398 | C22⋊D5 | — | 2 | 1 | no | — |
| 399 | C22⋊D5 | — | 2 | 1 | no | — |
| 400 | C22⋊D5 | — | 2 | 1 | no | — |
| 401 | C2×Dic5 | — | 2 | 1 | no | — |
| 402 | C2×Dic5 | — | 6 | 1 | no | — |
| 403 | C2×Dic5 | #235 | 1 | 1 | yes | characteristic |
| 404 | D20 | — | 2 | 1 | no | — |
| 405 | D20 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 406 | C4×D5 | — | 2 | 1 | no | — |
| 407 | C4×D5 | — | 2 | 1 | no | — |
| 408 | C4×D5 | — | 2 | 1 | no | — |
| 409 | C4×D5 | — | 6 | 2 | no | — |
| 410 | C4×D5 | — | 6 | 2 | no | — |
| 411 | C4×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 412 | C4×D5 | #235 | 1 | 1 | yes | characteristic |
| 413 | C4×D5 | C2×#67 | 1 | 1 | yes | characteristic |
| 414 | C4×D5 | C23×D3 | 1 | 1 | yes | characteristic |
| 415 | Dic10 | — | 2 | 1 | no | — |
| 416 | Dic10 | — | 3 | 2 | no | — |
| 417 | Dic10 | — | 6 | 1 | no | — |
| 418 | Dic10 | — | 6 | 2 | no | — |
| 419 | Dic10 | — | 6 | 2 | no | — |
| 420 | Dic10 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 421 | #170 | — | 6 | 1 | no | — |
| 422 | #170 | — | 6 | 1 | no | — |
| 423 | C5×C8 | — | 3 | 2 | no | — |
| 424 | #168 | — | 3 | 2 | no | — |
| 425 | C2×#41 | — | 5 | 1 | no | — |
| 426 | C22×Q8 | — | 15 | 1 | no | — |
| 427 | #137 | — | 3 | 1 | no | — |
| 428 | #137 | — | 15 | 1 | no | — |
| 429 | #137 | — | 15 | 2 | no | — |
| 430 | #137 | — | 15 | 2 | no | — |
| 431 | #137 | — | 15 | 1 | no | — |
| 432 | #137 | — | 15 | 1 | no | — |
| 433 | C2×Q16 | — | 15 | 2 | no | — |
| 434 | C2×SD16 | — | 15 | 2 | no | — |
| 435 | C2×M16 | — | 15 | 1 | no | — |
| 436 | C22×C8 | — | 15 | 1 | no | — |
| 437 | C4×Q8 | — | 5 | 2 | no | — |
| 438 | C4×Q8 | — | 15 | 2 | no | — |
| 439 | C4×Q8 | — | 15 | 2 | no | — |
| 440 | C4×Q8 | — | 30 | 1 | no | — |
| 441 | C4×Q8 | — | 30 | 1 | no | — |
| 442 | C4×D4 | — | 5 | 2 | no | — |
| 443 | C4×D4 | — | 10 | 2 | no | — |
| 444 | #117 | — | 5 | 1 | no | — |
| 445 | #117 | — | 10 | 1 | no | — |
| 446 | #117 | — | 15 | 1 | no | — |
| 447 | #117 | — | 30 | 2 | no | — |
| 448 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 449 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 450 | #107 | — | 15 | 2 | no | — |
| 451 | #106 | — | 15 | 2 | no | — |
| 452 | #103 | — | 15 | 2 | no | — |
| 453 | #103 | — | 15 | 2 | no | — |
| 454 | #103 | — | 15 | 1 | no | — |
| 455 | #103 | — | 15 | 1 | no | — |
| 456 | #102 | — | 15 | 1 | no | — |
| 457 | #102 | — | 15 | 1 | no | — |
| 458 | #97 | — | 15 | 2 | no | — |
| 459 | C4×C8 | — | 15 | 2 | no | — |
| 460 | C2×C3×C5 | — | 2 | 1 | no | — |
| 461 | C2×C3×C5 | — | 4 | 1 | no | — |
| 462 | C2×C3×C5 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 463 | C3×D5 | — | 2 | 1 | no | — |
| 464 | C3×D5 | — | 4 | 1 | no | — |
| 465 | C3×D5 | #577 | 1 | 1 | yes | characteristic |
| 466 | C3×D5 | #578 | 1 | 1 | yes | characteristic |
| 467 | C23×C3 | — | 5 | 1 | no | — |
| 468 | C23×C3 | — | 10 | 1 | no | — |
| 469 | C3×Q8 | — | 5 | 1 | no | — |
| 470 | C3×Q8 | — | 10 | 1 | no | — |
| 471 | C3×Q8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 472 | C3×D4 | — | 2 | 1 | no | — |
| 473 | C3×D4 | — | 5 | 1 | no | — |
| 474 | C3×D4 | — | 10 | 1 | no | — |
| 475 | C3×D4 | — | 10 | 1 | no | — |
| 476 | C3×D4 | — | 10 | 1 | no | — |
| 477 | C3×D4 | — | 10 | 1 | no | — |
| 478 | C3×D4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 479 | C2×C3×C4 | — | 2 | 1 | no | — |
| 480 | C2×C3×C4 | — | 5 | 1 | no | — |
| 481 | C2×C3×C4 | — | 5 | 1 | no | — |
| 482 | C2×C3×C4 | — | 5 | 1 | no | — |
| 483 | C2×C3×C4 | — | 5 | 1 | no | — |
| 484 | C2×C3×C4 | — | 5 | 1 | no | — |
| 485 | C2×C3×C4 | — | 5 | 2 | no | — |
| 486 | C2×C3×C4 | — | 5 | 2 | no | — |
| 487 | C2×C3×C4 | — | 10 | 1 | no | — |
| 488 | C2×C3×C4 | — | 10 | 1 | no | — |
| 489 | C2×C3×C4 | — | 10 | 1 | no | — |
| 490 | C2×C3×C4 | — | 10 | 1 | no | — |
| 491 | C2×C3×C4 | — | 10 | 2 | no | — |
| 492 | C2×C3×C4 | — | 40 | 2 | no | — |
| 493 | C2×C3×C4 | — | 40 | 1 | no | — |
| 494 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 495 | C2×Dic3 | — | 2 | 1 | no | — |
| 496 | C2×Dic3 | — | 10 | 2 | no | — |
| 497 | C2×Dic3 | — | 10 | 2 | no | — |
| 498 | C2×Dic3 | — | 10 | 1 | no | — |
| 499 | C2×Dic3 | — | 10 | 1 | no | — |
| 500 | C2×Dic3 | — | 10 | 1 | no | — |
| 501 | Dic6 | — | 2 | 1 | no | — |
| 502 | Dic6 | — | 5 | 2 | no | — |
| 503 | Dic6 | — | 10 | 2 | no | — |
| 504 | Dic6 | — | 10 | 2 | no | — |
| 505 | Dic6 | — | 10 | 1 | no | — |
| 506 | Dic6 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 507 | C3⋊C8 | — | 5 | 2 | no | — |
| 508 | C3⋊C8 | — | 10 | 1 | no | — |
| 509 | C3⋊C8 | — | 10 | 1 | no | — |
| 510 | C3⋊C8 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 511 | C22×C5 | — | 2 | 1 | no | — |
| 512 | C22×C5 | C4×#67 | 1 | 1 | yes | characteristic |
| 513 | C2×D5 | — | 2 | 1 | no | — |
| 514 | C2×D5 | — | 2 | 1 | no | — |
| 515 | C2×D5 | — | 2 | 1 | no | — |
| 516 | C2×D5 | — | 4 | 1 | no | — |
| 517 | C2×D5 | — | 4 | 1 | no | — |
| 518 | C2×D5 | C4×#67 | 1 | 1 | yes | characteristic |
| 519 | C2×D5 | C22×#67 | 1 | 1 | yes | characteristic |
| 520 | AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 521 | AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 522 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 523 | AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 524 | AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 525 | C4×C5 | — | 2 | 1 | no | — |
| 526 | C4×C5 | — | 6 | 2 | no | — |
| 527 | C4×C5 | C4×#67 | 1 | 1 | yes | characteristic |
| 528 | C4×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 529 | Dic5 | — | 2 | 1 | no | — |
| 530 | Dic5 | — | 6 | 2 | no | — |
| 531 | Dic5 | C4×#67 | 1 | 1 | yes | characteristic |
| 532 | Dic5 | C2×#235 | 1 | 1 | yes | characteristic |
| 533 | #41 | — | 5 | 1 | no | — |
| 534 | #41 | — | 5 | 1 | no | — |
| 535 | #41 | — | 5 | 1 | no | — |
| 536 | #41 | — | 10 | 1 | no | — |
| 537 | #41 | — | 10 | 1 | no | — |
| 538 | #41 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 539 | C2×Q8 | — | 3 | 1 | no | — |
| 540 | C2×Q8 | — | 5 | 1 | no | — |
| 541 | C2×Q8 | — | 15 | 2 | no | — |
| 542 | C2×Q8 | — | 15 | 2 | no | — |
| 543 | C2×Q8 | — | 15 | 1 | no | — |
| 544 | C2×Q8 | — | 30 | 1 | no | — |
| 545 | C2×Q8 | — | 30 | 1 | no | — |
| 546 | C2×Q8 | — | 30 | 1 | no | — |
| 547 | C2×D4 | — | 5 | 1 | no | — |
| 548 | C2×D4 | — | 10 | 1 | no | — |
| 549 | C22×C4 | — | 5 | 1 | no | — |
| 550 | C22×C4 | — | 10 | 1 | no | — |
| 551 | C22×C4 | — | 10 | 2 | no | — |
| 552 | C22×C4 | — | 10 | 1 | no | — |
| 553 | C22×C4 | — | 30 | 1 | no | — |
| 554 | Q16 | — | 3 | 2 | no | — |
| 555 | Q16 | — | 15 | 2 | no | — |
| 556 | Q16 | — | 15 | 2 | no | — |
| 557 | Q16 | — | 15 | 2 | no | — |
| 558 | SD16 | — | 3 | 2 | no | — |
| 559 | SD16 | — | 15 | 2 | no | — |
| 560 | SD16 | — | 15 | 2 | no | — |
| 561 | SD16 | — | 15 | 2 | no | — |
| 562 | M16 | — | 3 | 1 | no | — |
| 563 | M16 | — | 15 | 2 | no | — |
| 564 | M16 | — | 15 | 1 | no | — |
| 565 | C2×C8 | — | 15 | 2 | no | — |
| 566 | C2×C8 | — | 15 | 1 | no | — |
| 567 | C2×C8 | — | 15 | 1 | no | — |
| 568 | C2×C8 | — | 30 | 1 | no | — |
| 569 | C2×C8 | — | 30 | 1 | no | — |
| 570 | C4⋊C4 | — | 5 | 1 | no | — |
| 571 | C4⋊C4 | — | 5 | 1 | no | — |
| 572 | C4⋊C4 | — | 5 | 2 | no | — |
| 573 | C4⋊C4 | — | 10 | 1 | no | — |
| 574 | C4⋊C4 | — | 10 | 2 | no | — |
| 575 | C4⋊C4 | — | 15 | 1 | no | — |
| 576 | C4⋊C4 | — | 15 | 1 | no | — |
| 577 | C4⋊C4 | — | 30 | 2 | no | — |
| 578 | C4⋊C4 | — | 30 | 2 | no | — |
| 579 | C22⋊C4 | — | 5 | 2 | no | — |
| 580 | C22⋊C4 | — | 10 | 2 | no | — |
| 581 | C22⋊C4 | — | 30 | 1 | no | — |
| 582 | C42 | — | 5 | 2 | no | — |
| 583 | C42 | — | 10 | 2 | no | — |
| 584 | C42 | — | 30 | 1 | no | — |
| 585 | C42 | — | 30 | 2 | no | — |
| 586 | C42 | — | 30 | 2 | no | — |
| 587 | C3×C5 | #2947 | 1 | 1 | yes | characteristic, complemented, Hall |
| 588 | C22×C3 | — | 2 | 1 | no | — |
| 589 | C22×C3 | — | 5 | 1 | no | — |
| 590 | C22×C3 | — | 5 | 1 | no | — |
| 591 | C22×C3 | — | 10 | 1 | no | — |
| 592 | C22×C3 | — | 10 | 1 | no | — |
| 593 | C22×C3 | — | 10 | 1 | no | — |
| 594 | C22×C3 | — | 20 | 1 | no | — |
| 595 | C22×C3 | — | 20 | 1 | no | — |
| 596 | C22×C3 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 597 | C3×C4 | — | 2 | 1 | no | — |
| 598 | C3×C4 | — | 5 | 1 | no | — |
| 599 | C3×C4 | — | 5 | 1 | no | — |
| 600 | C3×C4 | — | 10 | 2 | no | — |
| 601 | C3×C4 | — | 10 | 2 | no | — |
| 602 | C3×C4 | — | 10 | 1 | no | — |
| 603 | C3×C4 | — | 20 | 2 | no | — |
| 604 | C3×C4 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 605 | C3×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 606 | Dic3 | — | 2 | 2 | no | — |
| 607 | Dic3 | — | 10 | 2 | no | — |
| 608 | Dic3 | — | 20 | 1 | no | — |
| 609 | Dic3 | — | 20 | 1 | no | — |
| 610 | C2×C5 | — | 2 | 1 | no | — |
| 611 | C2×C5 | — | 4 | 1 | no | — |
| 612 | C2×C5 | C2×C4×#67 | 1 | 1 | yes | characteristic |
| 613 | D5 | — | 2 | 1 | no | — |
| 614 | D5 | — | 4 | 1 | no | — |
| 615 | D5 | #5836 | 1 | 1 | yes | characteristic |
| 616 | D5 | #5838 | 1 | 1 | yes | characteristic |
| 617 | C23 | — | 5 | 1 | no | — |
| 618 | C23 | — | 10 | 1 | no | — |
| 619 | Q8 | — | 3 | 2 | no | — |
| 620 | Q8 | — | 5 | 1 | no | — |
| 621 | Q8 | — | 6 | 1 | no | — |
| 622 | Q8 | — | 10 | 1 | no | — |
| 623 | Q8 | — | 15 | 2 | no | — |
| 624 | Q8 | — | 30 | 2 | no | — |
| 625 | Q8 | — | 30 | 2 | no | — |
| 626 | Q8 | — | 30 | 1 | no | — |
| 627 | Q8 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 628 | D4 | — | 2 | 1 | no | — |
| 629 | D4 | — | 5 | 1 | no | — |
| 630 | D4 | — | 10 | 1 | no | — |
| 631 | D4 | — | 10 | 1 | no | — |
| 632 | D4 | — | 10 | 1 | no | — |
| 633 | D4 | — | 10 | 1 | no | — |
| 634 | D4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 635 | C2×C4 | — | 2 | 1 | no | — |
| 636 | C2×C4 | — | 5 | 1 | no | — |
| 637 | C2×C4 | — | 5 | 1 | no | — |
| 638 | C2×C4 | — | 5 | 1 | no | — |
| 639 | C2×C4 | — | 5 | 1 | no | — |
| 640 | C2×C4 | — | 5 | 1 | no | — |
| 641 | C2×C4 | — | 5 | 2 | no | — |
| 642 | C2×C4 | — | 5 | 2 | no | — |
| 643 | C2×C4 | — | 6 | 1 | no | — |
| 644 | C2×C4 | — | 10 | 1 | no | — |
| 645 | C2×C4 | — | 10 | 1 | no | — |
| 646 | C2×C4 | — | 10 | 1 | no | — |
| 647 | C2×C4 | — | 10 | 1 | no | — |
| 648 | C2×C4 | — | 10 | 2 | no | — |
| 649 | C2×C4 | — | 30 | 2 | no | — |
| 650 | C2×C4 | — | 30 | 2 | no | — |
| 651 | C2×C4 | — | 30 | 1 | no | — |
| 652 | C2×C4 | — | 30 | 1 | no | — |
| 653 | C2×C4 | — | 30 | 1 | no | — |
| 654 | C2×C4 | — | 40 | 2 | no | — |
| 655 | C2×C4 | — | 40 | 1 | no | — |
| 656 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 657 | C8 | — | 3 | 2 | no | — |
| 658 | C8 | — | 15 | 2 | no | — |
| 659 | C8 | — | 30 | 1 | no | — |
| 660 | C8 | — | 30 | 1 | no | — |
| 661 | C2×C3 | — | 2 | 1 | no | — |
| 662 | C2×C3 | — | 4 | 1 | no | — |
| 663 | C2×C3 | — | 5 | 1 | no | — |
| 664 | C2×C3 | — | 5 | 1 | no | — |
| 665 | C2×C3 | — | 10 | 1 | no | — |
| 666 | C2×C3 | — | 20 | 1 | no | — |
| 667 | C2×C3 | C2×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 668 | C5 | #82571 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 669 | C22 | — | 2 | 1 | no | — |
| 670 | C22 | — | 5 | 1 | no | — |
| 671 | C22 | — | 5 | 1 | no | — |
| 672 | C22 | — | 10 | 1 | no | — |
| 673 | C22 | — | 10 | 1 | no | — |
| 674 | C22 | — | 10 | 1 | no | — |
| 675 | C22 | — | 20 | 1 | no | — |
| 676 | C22 | — | 20 | 1 | no | — |
| 677 | C22 | AGL(1,𝔽5)×#67 | 1 | 1 | yes | characteristic |
| 678 | C4 | — | 2 | 1 | no | — |
| 679 | C4 | — | 5 | 1 | no | — |
| 680 | C4 | — | 5 | 1 | no | — |
| 681 | C4 | — | 6 | 2 | no | — |
| 682 | C4 | — | 10 | 2 | no | — |
| 683 | C4 | — | 10 | 2 | no | — |
| 684 | C4 | — | 10 | 1 | no | — |
| 685 | C4 | — | 20 | 2 | no | — |
| 686 | C4 | — | 30 | 2 | no | — |
| 687 | C4 | — | 60 | 1 | no | — |
| 688 | C4 | — | 60 | 1 | no | — |
| 689 | C4 | AGL(1,𝔽5)×#67 | 1 | 1 | yes | characteristic |
| 690 | C4 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 691 | C3 | #10617451 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 692 | C2 | — | 2 | 1 | no | — |
| 693 | C2 | — | 4 | 1 | no | — |
| 694 | C2 | — | 5 | 1 | no | — |
| 695 | C2 | — | 5 | 1 | no | — |
| 696 | C2 | — | 10 | 1 | no | — |
| 697 | C2 | — | 20 | 1 | no | — |
| 698 | C2 | C2×AGL(1,𝔽5)×#67 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta