| 1 | #11756995 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11756836 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | D5×#950 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | C3×#65793 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751970 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11751965 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11751945 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11751942 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C2×#91159 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11751708 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11751696 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10617441 | — | 3 | 1 | no | maximal, Hall |
| 13 | C3×D5×#41 | C22 | 1 | 1 | yes | characteristic |
| 14 | D5×#235 | C22 | 1 | 1 | yes | characteristic |
| 15 | Q8×ΓL(1,𝔽16) | C22 | 1 | 2 | yes | — |
| 16 | D4×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 17 | D4×ΓL(1,𝔽16) | C22 | 1 | 2 | yes | — |
| 18 | #91989 | — | 2 | 1 | no | — |
| 19 | #91989 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 21 | C2×C4⋊ΓL(1,𝔽16) | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×C4⋊AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic |
| 23 | C3×D5⋊M16 | C22 | 1 | 1 | yes | characteristic |
| 24 | AGL(1,𝔽5)×#67 | — | 2 | 2 | no | — |
| 25 | #91921 | C22 | 1 | 2 | yes | — |
| 26 | D3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 27 | ΓL(1,𝔽16)⋊Q8 | C22 | 1 | 2 | yes | — |
| 28 | #91907 | — | 2 | 1 | no | — |
| 29 | #91839 | C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | C5×#950 | C4 | 1 | 1 | yes | characteristic, complemented |
| 31 | #91516 | C4 | 1 | 1 | yes | characteristic, complemented |
| 32 | #91514 | C4 | 1 | 1 | yes | characteristic, complemented |
| 33 | D5×#216 | C22 | 1 | 1 | yes | characteristic |
| 34 | D5×#215 | C22 | 1 | 1 | yes | characteristic |
| 35 | #91492 | C4 | 1 | 1 | yes | characteristic, complemented |
| 36 | #91490 | C4 | 1 | 1 | yes | characteristic, complemented |
| 37 | D5×#214 | C22 | 1 | 1 | yes | characteristic |
| 38 | D5×#213 | C22 | 1 | 1 | yes | characteristic |
| 39 | #91311 | C4 | 1 | 1 | yes | characteristic, complemented |
| 40 | #91297 | C4 | 1 | 1 | yes | characteristic, complemented |
| 41 | C2×D5×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 42 | C3×#4009 | C22 | 1 | 2 | yes | — |
| 43 | C3×#4007 | C22 | 1 | 2 | yes | — |
| 44 | #91159 | C22 | 1 | 2 | yes | — |
| 45 | #91159 | C22 | 1 | 2 | yes | — |
| 46 | #91154 | C22 | 1 | 2 | yes | — |
| 47 | #91152 | C22 | 1 | 2 | yes | — |
| 48 | #91150 | C22 | 1 | 2 | yes | — |
| 49 | ΓL(1,𝔽16)⋊C8 | C22 | 1 | 2 | yes | — |
| 50 | #78869 | — | 5 | 1 | no | maximal, Hall |
| 51 | #66266 | — | 3 | 1 | no | — |
| 52 | #66266 | — | 3 | 1 | no | — |
| 53 | D5×#135 | — | 3 | 1 | no | — |
| 54 | #65793 | — | 3 | 1 | no | — |
| 55 | #65793 | D3 | 1 | 1 | yes | characteristic, complemented |
| 56 | #65739 | — | 3 | 2 | no | — |
| 57 | SD16×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 58 | SD16×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 59 | #65731 | — | 3 | 2 | no | — |
| 60 | C2×#3993 | — | 3 | 1 | no | — |
| 61 | #65718 | — | 3 | 1 | no | — |
| 62 | C22×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 63 | C22×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 64 | C22×C3×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 65 | C2×D3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 66 | C3×C5×#41 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 67 | #6817 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 68 | C5×#235 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 69 | C3×#713 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 70 | C3×Q8×D5 | C23 | 1 | 1 | yes | characteristic |
| 71 | C3×#711 | — | 2 | 1 | no | — |
| 72 | C3×#711 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 73 | C3×D4×D5 | — | 2 | 1 | no | — |
| 74 | C3×D4×D5 | C23 | 1 | 1 | yes | characteristic |
| 75 | C3×#709 | — | 2 | 1 | no | — |
| 76 | C3×#709 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 77 | C2×C3×C4×D5 | — | 2 | 1 | no | — |
| 78 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 79 | D5×#67 | — | 2 | 1 | no | — |
| 80 | #6782 | — | 2 | 1 | no | — |
| 81 | D5×D12 | C23 | 1 | 1 | yes | characteristic |
| 82 | C4×D3×D5 | — | 2 | 1 | no | — |
| 83 | #6773 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 84 | #6772 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 85 | #6771 | — | 2 | 1 | no | — |
| 86 | D5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 87 | #6763 | — | 2 | 2 | no | — |
| 88 | #6763 | D4 | 1 | 2 | yes | — |
| 89 | C4⋊ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 90 | C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 91 | C4⋊ΓL(1,𝔽16) | D4 | 1 | 1 | yes | characteristic |
| 92 | C4⋊ΓL(1,𝔽16) | D4 | 1 | 1 | yes | characteristic |
| 93 | C4⋊ΓL(1,𝔽16) | C23 | 1 | 2 | yes | — |
| 94 | C4×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 95 | C4×ΓL(1,𝔽16) | C23 | 1 | 2 | yes | — |
| 96 | C3×#704 | — | 2 | 1 | no | — |
| 97 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 98 | C3×C4⋊AGL(1,𝔽5) | C23 | 1 | 2 | yes | — |
| 99 | C3×#700 | — | 2 | 1 | no | — |
| 100 | C3×D5⋊C8 | C23 | 1 | 2 | yes | — |
| 101 | Dic3⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 102 | (C2×D3)⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 103 | Dic3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 104 | #6718 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 105 | #6717 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 106 | #6716 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 107 | #6715 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 108 | C2×C3⋊#168 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 109 | C5×#216 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 110 | C5×#215 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 111 | C5×#214 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 112 | C5×#213 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 113 | C2×C5×C3⋊C8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 114 | #6662 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 115 | #6661 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 116 | #6658 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 117 | #6657 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 118 | #6656 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 119 | #6655 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 120 | #6653 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 121 | #6652 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 122 | D5×C3⋊C8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 123 | D5×C3⋊C8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 124 | D5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 125 | D5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 126 | #5827 | — | 5 | 1 | no | — |
| 127 | C2×#950 | — | 5 | 1 | no | — |
| 128 | #5504 | — | 5 | 1 | no | — |
| 129 | C3×#417 | — | 5 | 1 | no | — |
| 130 | #5133 | — | 5 | 1 | no | — |
| 131 | #5122 | — | 5 | 1 | no | — |
| 132 | C2×#808 | — | 5 | 1 | no | — |
| 133 | #4789 | — | 5 | 2 | no | — |
| 134 | #4788 | — | 5 | 2 | no | — |
| 135 | #4785 | — | 5 | 2 | no | — |
| 136 | #4758 | — | 5 | 2 | no | — |
| 137 | D5×#41 | — | 3 | 1 | no | — |
| 138 | D5×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 139 | Q8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 140 | Q8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 141 | D4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 142 | D4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 143 | D4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 144 | D4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 145 | #4130 | — | 3 | 1 | no | — |
| 146 | #4130 | — | 6 | 1 | no | — |
| 147 | #4130 | — | 6 | 1 | no | — |
| 148 | C2×C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 149 | C2×C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 150 | C2×C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 151 | C2×C4⋊AGL(1,𝔽5) | C2×D3 | 1 | 1 | yes | characteristic |
| 152 | D5⋊M16 | C2×D3 | 1 | 1 | yes | characteristic |
| 153 | C5×#135 | — | 3 | 1 | no | — |
| 154 | #4096 | — | 3 | 1 | no | — |
| 155 | #4096 | — | 3 | 1 | no | — |
| 156 | #4065 | — | 3 | 1 | no | — |
| 157 | D5×Q16 | — | 3 | 1 | no | — |
| 158 | #4062 | — | 3 | 1 | no | — |
| 159 | #4062 | — | 3 | 1 | no | — |
| 160 | D5×SD16 | — | 3 | 1 | no | — |
| 161 | D5×SD16 | — | 3 | 1 | no | — |
| 162 | #4058 | — | 3 | 1 | no | — |
| 163 | D5×D8 | — | 3 | 1 | no | — |
| 164 | #4050 | — | 3 | 1 | no | — |
| 165 | C2×C8×D5 | — | 3 | 1 | no | — |
| 166 | #4009 | — | 3 | 2 | no | — |
| 167 | #4009 | C2×D3 | 1 | 2 | yes | — |
| 168 | #4007 | — | 3 | 2 | no | — |
| 169 | #4007 | C2×D3 | 1 | 2 | yes | — |
| 170 | #3993 | — | 3 | 2 | no | — |
| 171 | #3993 | — | 3 | 2 | no | — |
| 172 | #3992 | — | 3 | 2 | no | — |
| 173 | C8×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 174 | #2952 | — | 15 | 1 | no | Sylow |
| 175 | C22×C3×D5 | — | 2 | 1 | no | — |
| 176 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 177 | C2×D3×D5 | — | 2 | 1 | no | — |
| 178 | C2×ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 179 | C2×ΓL(1,𝔽16) | — | 8 | 2 | no | — |
| 180 | C2×ΓL(1,𝔽16) | — | 8 | 1 | no | — |
| 181 | C2×ΓL(1,𝔽16) | C2×D4 | 1 | 2 | yes | — |
| 182 | C2×ΓL(1,𝔽16) | C2×D4 | 1 | 2 | yes | — |
| 183 | C2×C3×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 184 | C2×C3×AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 185 | D3×AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 186 | C3×C5×Q8 | C22×C4 | 1 | 1 | yes | characteristic |
| 187 | C3×C5×D4 | — | 2 | 1 | no | — |
| 188 | C3×C5×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 189 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 190 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 191 | #1220 | — | 2 | 1 | no | — |
| 192 | D60 | C22×C4 | 1 | 1 | yes | characteristic |
| 193 | C4×D15 | — | 2 | 1 | no | — |
| 194 | Dic30 | C22×C4 | 1 | 1 | yes | characteristic |
| 195 | C5×#67 | — | 2 | 1 | no | — |
| 196 | C5×D12 | C22×C4 | 1 | 1 | yes | characteristic |
| 197 | C4×C5×D3 | — | 2 | 1 | no | — |
| 198 | C5×Dic6 | C22×C4 | 1 | 1 | yes | characteristic |
| 199 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 200 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 201 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 202 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 203 | C2×C3×Dic5 | #41 | 1 | 1 | yes | characteristic |
| 204 | C3×D20 | — | 2 | 1 | no | — |
| 205 | C3×D20 | C22×C4 | 1 | 1 | yes | characteristic |
| 206 | C3×C4×D5 | — | 2 | 1 | no | — |
| 207 | C3×C4×D5 | — | 2 | 1 | no | — |
| 208 | C3×C4×D5 | — | 2 | 1 | no | — |
| 209 | C3×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 210 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C3×C4×D5 | #41 | 1 | 1 | yes | characteristic |
| 212 | C3×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 213 | C3×Dic10 | — | 2 | 1 | no | — |
| 214 | C3×Dic10 | C22×C4 | 1 | 1 | yes | characteristic |
| 215 | #1204 | — | 2 | 1 | no | — |
| 216 | #1203 | — | 2 | 1 | no | — |
| 217 | #1202 | — | 2 | 1 | no | — |
| 218 | #1201 | — | 2 | 1 | no | — |
| 219 | #1200 | — | 2 | 1 | no | — |
| 220 | D3×Dic5 | — | 2 | 1 | no | — |
| 221 | D5×Dic3 | — | 2 | 1 | no | — |
| 222 | C3×#170 | — | 2 | 2 | no | — |
| 223 | C3⋊#168 | C22×C4 | 1 | 1 | yes | characteristic |
| 224 | C3⋊#168 | C22×C4 | 1 | 1 | yes | characteristic |
| 225 | C5×C3⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 226 | C5×C3⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 227 | C2×C3×#41 | — | 5 | 1 | no | — |
| 228 | C2×#235 | — | 5 | 1 | no | — |
| 229 | C2×C3×M16 | — | 5 | 1 | no | — |
| 230 | C2×C3×C4⋊C4 | — | 5 | 1 | no | — |
| 231 | #950 | — | 5 | 1 | no | — |
| 232 | #950 | — | 5 | 1 | no | — |
| 233 | #950 | — | 5 | 1 | no | — |
| 234 | #950 | — | 5 | 1 | no | — |
| 235 | #950 | — | 5 | 1 | no | — |
| 236 | #950 | — | 5 | 1 | no | — |
| 237 | #950 | — | 5 | 1 | no | — |
| 238 | #950 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 239 | Q8×Dic3 | — | 5 | 2 | no | — |
| 240 | C2×#216 | — | 5 | 1 | no | — |
| 241 | C2×#215 | — | 5 | 1 | no | — |
| 242 | D4×Dic3 | — | 5 | 2 | no | — |
| 243 | D4×Dic3 | — | 10 | 2 | no | — |
| 244 | C2×#214 | — | 5 | 1 | no | — |
| 245 | C2×#213 | — | 5 | 1 | no | — |
| 246 | C4×#67 | — | 10 | 2 | no | — |
| 247 | #926 | — | 5 | 1 | no | — |
| 248 | #926 | — | 10 | 1 | no | — |
| 249 | C2×C4⋊Dic3 | — | 5 | 1 | no | — |
| 250 | C2×C4⋊Dic3 | — | 10 | 1 | no | — |
| 251 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 252 | #893 | — | 5 | 2 | no | — |
| 253 | #892 | — | 10 | 1 | no | — |
| 254 | D3×C4⋊C4 | — | 10 | 1 | no | — |
| 255 | #887 | — | 5 | 2 | no | — |
| 256 | C3×#103 | — | 5 | 2 | no | — |
| 257 | C3×#102 | — | 5 | 2 | no | — |
| 258 | #821 | — | 5 | 2 | no | — |
| 259 | #816 | — | 5 | 2 | no | — |
| 260 | #815 | — | 5 | 2 | no | — |
| 261 | C8×Dic3 | — | 5 | 2 | no | — |
| 262 | #808 | — | 5 | 2 | no | — |
| 263 | #808 | — | 5 | 2 | no | — |
| 264 | C22×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 265 | C22×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 266 | C22×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 267 | C22×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 268 | C5×#41 | — | 3 | 1 | no | — |
| 269 | C5×#41 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 270 | #713 | — | 3 | 1 | no | — |
| 271 | #713 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 272 | Q8×D5 | — | 3 | 1 | no | — |
| 273 | Q8×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 274 | #711 | — | 2 | 1 | no | — |
| 275 | #711 | — | 3 | 1 | no | — |
| 276 | #711 | — | 6 | 1 | no | — |
| 277 | #711 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 278 | D4×D5 | — | 2 | 1 | no | — |
| 279 | D4×D5 | — | 3 | 1 | no | — |
| 280 | D4×D5 | — | 6 | 1 | no | — |
| 281 | D4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 282 | #709 | — | 2 | 1 | no | — |
| 283 | #709 | — | 3 | 1 | no | — |
| 284 | #709 | — | 6 | 1 | no | — |
| 285 | #709 | C4×D3 | 1 | 1 | yes | characteristic, complemented |
| 286 | C2×C4×D5 | — | 2 | 1 | no | — |
| 287 | C2×C4×D5 | — | 6 | 1 | no | — |
| 288 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 289 | C22⋊AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 290 | C22⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 291 | C22⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 292 | #704 | — | 2 | 1 | no | — |
| 293 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 294 | C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 295 | C4⋊AGL(1,𝔽5) | — | 3 | 1 | no | — |
| 296 | C4⋊AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 297 | C4⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 298 | C4⋊AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 299 | C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 300 | C4⋊AGL(1,𝔽5) | C22×D3 | 1 | 2 | yes | — |
| 301 | C4×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 302 | C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 303 | C4×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 304 | #700 | — | 2 | 1 | no | — |
| 305 | D5⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 306 | C5×Q16 | — | 3 | 1 | no | — |
| 307 | C5×SD16 | — | 3 | 1 | no | — |
| 308 | C5×SD16 | — | 3 | 1 | no | — |
| 309 | C5×D8 | — | 3 | 1 | no | — |
| 310 | C2×C5×C8 | — | 3 | 1 | no | — |
| 311 | #689 | — | 3 | 1 | no | — |
| 312 | #689 | — | 3 | 1 | no | — |
| 313 | #688 | — | 3 | 1 | no | — |
| 314 | #688 | — | 3 | 1 | no | — |
| 315 | #687 | — | 3 | 1 | no | — |
| 316 | #687 | — | 3 | 1 | no | — |
| 317 | #686 | — | 3 | 1 | no | — |
| 318 | #686 | — | 3 | 1 | no | — |
| 319 | C2×#168 | — | 3 | 1 | no | — |
| 320 | Dic20 | — | 3 | 1 | no | — |
| 321 | D40 | — | 3 | 1 | no | — |
| 322 | #677 | — | 3 | 1 | no | — |
| 323 | #677 | — | 3 | 1 | no | — |
| 324 | C8×D5 | — | 3 | 1 | no | — |
| 325 | C8×D5 | — | 3 | 1 | no | — |
| 326 | C8×D5 | — | 3 | 1 | no | — |
| 327 | C8×D5 | — | 3 | 1 | no | — |
| 328 | C2×#135 | — | 15 | 1 | no | — |
| 329 | #520 | — | 15 | 1 | no | — |
| 330 | #520 | — | 15 | 1 | no | — |
| 331 | #442 | — | 15 | 2 | no | — |
| 332 | #441 | — | 15 | 2 | no | — |
| 333 | C4×SD16 | — | 15 | 2 | no | — |
| 334 | C4×SD16 | — | 15 | 2 | no | — |
| 335 | C2×#106 | — | 15 | 1 | no | — |
| 336 | #417 | — | 5 | 1 | no | — |
| 337 | #417 | — | 15 | 1 | no | — |
| 338 | #405 | — | 15 | 1 | no | — |
| 339 | C22×C3×C5 | — | 2 | 1 | no | — |
| 340 | C22×C3×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 341 | C2×D15 | — | 2 | 1 | no | — |
| 342 | C2×C5×D3 | — | 2 | 1 | no | — |
| 343 | C2×C3×D5 | — | 2 | 1 | no | — |
| 344 | C2×C3×D5 | — | 2 | 1 | no | — |
| 345 | C2×C3×D5 | — | 2 | 1 | no | — |
| 346 | C2×C3×D5 | — | 4 | 1 | no | — |
| 347 | C2×C3×D5 | — | 4 | 1 | no | — |
| 348 | C2×C3×D5 | C4×D4 | 1 | 1 | yes | characteristic |
| 349 | C2×C3×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 350 | D3×D5 | — | 4 | 1 | no | — |
| 351 | D3×D5 | — | 4 | 1 | no | — |
| 352 | ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 353 | ΓL(1,𝔽16) | — | 2 | 2 | no | — |
| 354 | ΓL(1,𝔽16) | — | 4 | 2 | no | — |
| 355 | C3×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 356 | C3×C4×C5 | — | 2 | 1 | no | — |
| 357 | C3×C4×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 358 | C3×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 359 | Dic15 | — | 2 | 1 | no | — |
| 360 | C3×Dic5 | — | 2 | 1 | no | — |
| 361 | C3×Dic5 | C4×D4 | 1 | 1 | yes | characteristic |
| 362 | C3×Dic5 | C2×#41 | 1 | 1 | yes | characteristic |
| 363 | C5×Dic3 | — | 2 | 1 | no | — |
| 364 | C3×#41 | — | 5 | 1 | no | — |
| 365 | C3×#41 | — | 5 | 1 | no | — |
| 366 | C3×#41 | — | 5 | 1 | no | — |
| 367 | C3×#41 | — | 10 | 1 | no | — |
| 368 | C3×#41 | — | 10 | 1 | no | — |
| 369 | C3×#41 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 370 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 371 | C2×C3×D4 | — | 5 | 1 | no | — |
| 372 | C2×C3×D4 | — | 10 | 1 | no | — |
| 373 | C22×C3×C4 | — | 5 | 1 | no | — |
| 374 | C22×C3×C4 | — | 10 | 1 | no | — |
| 375 | C22×C3×C4 | — | 10 | 1 | no | — |
| 376 | C2×#67 | — | 10 | 1 | no | — |
| 377 | C22×Dic3 | — | 10 | 2 | no | — |
| 378 | C22×Dic3 | — | 10 | 1 | no | — |
| 379 | #235 | — | 5 | 1 | no | — |
| 380 | #235 | — | 5 | 1 | no | — |
| 381 | #235 | — | 5 | 1 | no | — |
| 382 | #235 | — | 10 | 1 | no | — |
| 383 | #235 | — | 10 | 1 | no | — |
| 384 | #235 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 385 | C2×D12 | — | 5 | 1 | no | — |
| 386 | C2×C4×D3 | — | 10 | 1 | no | — |
| 387 | C2×C4×D3 | — | 10 | 2 | no | — |
| 388 | C2×Dic6 | — | 5 | 1 | no | — |
| 389 | C3×M16 | — | 10 | 1 | no | — |
| 390 | C3×M16 | — | 10 | 1 | no | — |
| 391 | C2×C3×C8 | — | 5 | 2 | no | — |
| 392 | C3×C4⋊C4 | — | 5 | 2 | no | — |
| 393 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 394 | #217 | — | 5 | 2 | no | — |
| 395 | #217 | — | 10 | 2 | no | — |
| 396 | #216 | — | 5 | 1 | no | — |
| 397 | #216 | — | 5 | 1 | no | — |
| 398 | #216 | — | 5 | 1 | no | — |
| 399 | #216 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 400 | #215 | — | 5 | 1 | no | — |
| 401 | #215 | — | 5 | 1 | no | — |
| 402 | #215 | — | 5 | 1 | no | — |
| 403 | #215 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 404 | #214 | — | 5 | 1 | no | — |
| 405 | #214 | — | 5 | 1 | no | — |
| 406 | #214 | — | 5 | 1 | no | — |
| 407 | #214 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 408 | #213 | — | 5 | 1 | no | — |
| 409 | #213 | — | 5 | 1 | no | — |
| 410 | #213 | — | 5 | 1 | no | — |
| 411 | #213 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 412 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 413 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 414 | C4⋊Dic3 | — | 5 | 1 | no | — |
| 415 | C4⋊Dic3 | — | 5 | 2 | no | — |
| 416 | C4⋊Dic3 | — | 10 | 2 | no | — |
| 417 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 418 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 419 | C4×Dic3 | — | 5 | 2 | no | — |
| 420 | C4×Dic3 | — | 10 | 2 | no | — |
| 421 | C4×Dic3 | — | 10 | 2 | no | — |
| 422 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 423 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 424 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 425 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 426 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 427 | C2×C3⋊C8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 428 | C22×D5 | — | 2 | 1 | no | — |
| 429 | C22×D5 | — | 6 | 1 | no | — |
| 430 | C22×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 431 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 432 | C2×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 433 | C2×AGL(1,𝔽5) | — | 3 | 2 | no | — |
| 434 | C2×AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 435 | C2×AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 436 | C2×AGL(1,𝔽5) | — | 24 | 2 | no | — |
| 437 | C2×AGL(1,𝔽5) | — | 24 | 2 | no | — |
| 438 | C2×AGL(1,𝔽5) | — | 24 | 1 | no | — |
| 439 | C5×Q8 | — | 3 | 1 | no | — |
| 440 | C5×Q8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 441 | C5×D4 | — | 2 | 1 | no | — |
| 442 | C5×D4 | — | 3 | 1 | no | — |
| 443 | C5×D4 | — | 6 | 1 | no | — |
| 444 | C5×D4 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 445 | C2×C4×C5 | — | 2 | 1 | no | — |
| 446 | C2×C4×C5 | — | 6 | 1 | no | — |
| 447 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 448 | C22⋊D5 | — | 2 | 1 | no | — |
| 449 | C22⋊D5 | — | 2 | 1 | no | — |
| 450 | C22⋊D5 | — | 2 | 1 | no | — |
| 451 | C22⋊D5 | — | 6 | 1 | no | — |
| 452 | C22⋊D5 | — | 6 | 1 | no | — |
| 453 | C22⋊D5 | — | 6 | 1 | no | — |
| 454 | C2×Dic5 | — | 2 | 1 | no | — |
| 455 | C2×Dic5 | — | 6 | 1 | no | — |
| 456 | C2×Dic5 | #237 | 1 | 1 | yes | characteristic |
| 457 | D20 | — | 2 | 1 | no | — |
| 458 | D20 | — | 3 | 1 | no | — |
| 459 | D20 | — | 6 | 1 | no | — |
| 460 | D20 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 461 | C4×D5 | — | 2 | 1 | no | — |
| 462 | C4×D5 | — | 2 | 1 | no | — |
| 463 | C4×D5 | — | 2 | 1 | no | — |
| 464 | C4×D5 | — | 6 | 1 | no | — |
| 465 | C4×D5 | — | 6 | 1 | no | — |
| 466 | C4×D5 | — | 6 | 1 | no | — |
| 467 | C4×D5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 468 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 469 | C4×D5 | #237 | 1 | 1 | yes | characteristic |
| 470 | C4×D5 | C23×D3 | 1 | 1 | yes | characteristic |
| 471 | Dic10 | — | 2 | 1 | no | — |
| 472 | Dic10 | — | 3 | 1 | no | — |
| 473 | Dic10 | — | 6 | 1 | no | — |
| 474 | Dic10 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 475 | #170 | — | 2 | 2 | no | — |
| 476 | C5×C8 | — | 3 | 1 | no | — |
| 477 | C5×C8 | — | 3 | 1 | no | — |
| 478 | #168 | — | 3 | 1 | no | — |
| 479 | #168 | — | 3 | 1 | no | — |
| 480 | C2×#41 | — | 5 | 1 | no | — |
| 481 | C2×#41 | — | 15 | 1 | no | — |
| 482 | #135 | — | 3 | 1 | no | — |
| 483 | #135 | — | 15 | 1 | no | — |
| 484 | #135 | — | 15 | 1 | no | — |
| 485 | #135 | — | 15 | 1 | no | — |
| 486 | #135 | — | 15 | 1 | no | — |
| 487 | #135 | — | 15 | 1 | no | — |
| 488 | #135 | — | 15 | 1 | no | — |
| 489 | #135 | — | 15 | 1 | no | — |
| 490 | C2×Q16 | — | 15 | 1 | no | — |
| 491 | C2×SD16 | — | 15 | 1 | no | — |
| 492 | C2×SD16 | — | 15 | 1 | no | — |
| 493 | C2×D8 | — | 15 | 1 | no | — |
| 494 | C2×M16 | — | 5 | 1 | no | — |
| 495 | C22×C8 | — | 15 | 1 | no | — |
| 496 | C4×Q8 | — | 15 | 2 | no | — |
| 497 | C4×Q8 | — | 15 | 2 | no | — |
| 498 | C4×D4 | — | 15 | 2 | no | — |
| 499 | C4×D4 | — | 15 | 2 | no | — |
| 500 | C4×D4 | — | 30 | 2 | no | — |
| 501 | C4×D4 | — | 30 | 2 | no | — |
| 502 | #117 | — | 15 | 1 | no | — |
| 503 | #117 | — | 30 | 1 | no | — |
| 504 | #117 | — | 30 | 1 | no | — |
| 505 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 506 | C2×C4⋊C4 | — | 15 | 1 | no | — |
| 507 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 508 | C2×C4⋊C4 | — | 30 | 1 | no | — |
| 509 | #106 | — | 15 | 2 | no | — |
| 510 | #106 | — | 15 | 2 | no | — |
| 511 | #103 | — | 5 | 2 | no | — |
| 512 | #103 | — | 15 | 2 | no | — |
| 513 | #102 | — | 5 | 2 | no | — |
| 514 | #102 | — | 15 | 2 | no | — |
| 515 | #97 | — | 15 | 2 | no | — |
| 516 | C4×C8 | — | 15 | 2 | no | — |
| 517 | C2×C3×C5 | — | 2 | 1 | no | — |
| 518 | C2×C3×C5 | — | 4 | 1 | no | — |
| 519 | C2×C3×C5 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 520 | D15 | — | 4 | 1 | no | — |
| 521 | C3×D5 | — | 2 | 1 | no | — |
| 522 | C3×D5 | — | 4 | 1 | no | — |
| 523 | C3×D5 | #577 | 1 | 1 | yes | characteristic |
| 524 | C3×D5 | #577 | 1 | 1 | yes | characteristic |
| 525 | C5×D3 | — | 4 | 1 | no | — |
| 526 | C23×C3 | — | 5 | 1 | no | — |
| 527 | C23×C3 | — | 10 | 1 | no | — |
| 528 | C22×D3 | — | 10 | 1 | no | — |
| 529 | C3×Q8 | — | 5 | 1 | no | — |
| 530 | C3×Q8 | — | 10 | 1 | no | — |
| 531 | C3×Q8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 532 | C3×D4 | — | 2 | 1 | no | — |
| 533 | C3×D4 | — | 5 | 1 | no | — |
| 534 | C3×D4 | — | 10 | 1 | no | — |
| 535 | C3×D4 | — | 10 | 1 | no | — |
| 536 | C3×D4 | — | 10 | 1 | no | — |
| 537 | C3×D4 | — | 10 | 1 | no | — |
| 538 | C3×D4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 539 | C2×C3×C4 | — | 2 | 1 | no | — |
| 540 | C2×C3×C4 | — | 5 | 1 | no | — |
| 541 | C2×C3×C4 | — | 5 | 1 | no | — |
| 542 | C2×C3×C4 | — | 5 | 1 | no | — |
| 543 | C2×C3×C4 | — | 5 | 1 | no | — |
| 544 | C2×C3×C4 | — | 5 | 1 | no | — |
| 545 | C2×C3×C4 | — | 10 | 1 | no | — |
| 546 | C2×C3×C4 | — | 10 | 1 | no | — |
| 547 | C2×C3×C4 | — | 10 | 1 | no | — |
| 548 | C2×C3×C4 | — | 10 | 1 | no | — |
| 549 | C2×C3×C4 | — | 10 | 2 | no | — |
| 550 | C2×C3×C4 | — | 40 | 1 | no | — |
| 551 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 552 | #67 | — | 2 | 1 | no | — |
| 553 | #67 | — | 10 | 1 | no | — |
| 554 | #67 | — | 10 | 1 | no | — |
| 555 | #67 | — | 10 | 1 | no | — |
| 556 | C2×Dic3 | — | 5 | 2 | no | — |
| 557 | C2×Dic3 | — | 5 | 2 | no | — |
| 558 | C2×Dic3 | — | 10 | 1 | no | — |
| 559 | C2×Dic3 | — | 10 | 2 | no | — |
| 560 | C2×Dic3 | — | 40 | 2 | no | — |
| 561 | C2×Dic3 | — | 40 | 1 | no | — |
| 562 | D12 | — | 5 | 1 | no | — |
| 563 | D12 | — | 10 | 1 | no | — |
| 564 | D12 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 565 | C4×D3 | — | 2 | 1 | no | — |
| 566 | C4×D3 | — | 10 | 1 | no | — |
| 567 | C4×D3 | — | 10 | 1 | no | — |
| 568 | C4×D3 | — | 10 | 1 | no | — |
| 569 | C4×D3 | — | 40 | 2 | no | — |
| 570 | Dic6 | — | 5 | 1 | no | — |
| 571 | Dic6 | — | 10 | 1 | no | — |
| 572 | Dic6 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 573 | C3×C8 | — | 10 | 2 | no | — |
| 574 | C3⋊C8 | — | 5 | 1 | no | — |
| 575 | C3⋊C8 | — | 5 | 1 | no | — |
| 576 | C3⋊C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 577 | C3⋊C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 578 | C22×C5 | — | 2 | 1 | no | — |
| 579 | C22×C5 | — | 6 | 1 | no | — |
| 580 | C22×C5 | #67⋊C4 | 1 | 1 | yes | characteristic |
| 581 | C2×D5 | — | 2 | 1 | no | — |
| 582 | C2×D5 | — | 2 | 1 | no | — |
| 583 | C2×D5 | — | 2 | 1 | no | — |
| 584 | C2×D5 | — | 4 | 1 | no | — |
| 585 | C2×D5 | — | 4 | 1 | no | — |
| 586 | C2×D5 | — | 6 | 1 | no | — |
| 587 | C2×D5 | — | 12 | 1 | no | — |
| 588 | C2×D5 | — | 12 | 1 | no | — |
| 589 | C2×D5 | #67⋊C4 | 1 | 1 | yes | characteristic |
| 590 | C2×D5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 591 | AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 592 | AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 593 | AGL(1,𝔽5) | — | 6 | 2 | no | — |
| 594 | AGL(1,𝔽5) | — | 12 | 2 | no | — |
| 595 | C4×C5 | — | 2 | 1 | no | — |
| 596 | C4×C5 | — | 6 | 1 | no | — |
| 597 | C4×C5 | #67⋊C4 | 1 | 1 | yes | characteristic |
| 598 | C4×C5 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 599 | Dic5 | — | 2 | 1 | no | — |
| 600 | Dic5 | — | 6 | 1 | no | — |
| 601 | Dic5 | #67⋊C4 | 1 | 1 | yes | characteristic |
| 602 | Dic5 | C2×#237 | 1 | 1 | yes | characteristic |
| 603 | #41 | — | 3 | 1 | no | — |
| 604 | #41 | — | 5 | 1 | no | — |
| 605 | #41 | — | 5 | 1 | no | — |
| 606 | #41 | — | 5 | 1 | no | — |
| 607 | #41 | — | 10 | 1 | no | — |
| 608 | #41 | — | 10 | 1 | no | — |
| 609 | #41 | — | 15 | 1 | no | — |
| 610 | #41 | — | 15 | 1 | no | — |
| 611 | #41 | — | 15 | 1 | no | — |
| 612 | #41 | — | 30 | 1 | no | — |
| 613 | #41 | — | 30 | 1 | no | — |
| 614 | #41 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 615 | C2×Q8 | — | 5 | 1 | no | — |
| 616 | C2×Q8 | — | 15 | 1 | no | — |
| 617 | C2×D4 | — | 5 | 1 | no | — |
| 618 | C2×D4 | — | 10 | 1 | no | — |
| 619 | C2×D4 | — | 15 | 1 | no | — |
| 620 | C2×D4 | — | 30 | 1 | no | — |
| 621 | C22×C4 | — | 5 | 1 | no | — |
| 622 | C22×C4 | — | 10 | 1 | no | — |
| 623 | C22×C4 | — | 10 | 1 | no | — |
| 624 | C22×C4 | — | 30 | 1 | no | — |
| 625 | C22×C4 | — | 30 | 2 | no | — |
| 626 | C22×C4 | — | 30 | 2 | no | — |
| 627 | C22×C4 | — | 30 | 1 | no | — |
| 628 | Q16 | — | 3 | 1 | no | — |
| 629 | Q16 | — | 15 | 1 | no | — |
| 630 | Q16 | — | 15 | 1 | no | — |
| 631 | Q16 | — | 15 | 1 | no | — |
| 632 | SD16 | — | 3 | 1 | no | — |
| 633 | SD16 | — | 3 | 1 | no | — |
| 634 | SD16 | — | 15 | 1 | no | — |
| 635 | SD16 | — | 15 | 1 | no | — |
| 636 | SD16 | — | 15 | 1 | no | — |
| 637 | SD16 | — | 15 | 1 | no | — |
| 638 | SD16 | — | 15 | 1 | no | — |
| 639 | SD16 | — | 15 | 1 | no | — |
| 640 | D8 | — | 3 | 1 | no | — |
| 641 | D8 | — | 15 | 1 | no | — |
| 642 | D8 | — | 15 | 1 | no | — |
| 643 | D8 | — | 15 | 1 | no | — |
| 644 | M16 | — | 10 | 1 | no | — |
| 645 | M16 | — | 10 | 1 | no | — |
| 646 | C2×C8 | — | 3 | 1 | no | — |
| 647 | C2×C8 | — | 5 | 2 | no | — |
| 648 | C2×C8 | — | 15 | 1 | no | — |
| 649 | C2×C8 | — | 15 | 1 | no | — |
| 650 | C2×C8 | — | 15 | 1 | no | — |
| 651 | C2×C8 | — | 15 | 1 | no | — |
| 652 | C2×C8 | — | 15 | 1 | no | — |
| 653 | C4⋊C4 | — | 5 | 2 | no | — |
| 654 | C4⋊C4 | — | 10 | 1 | no | — |
| 655 | C4⋊C4 | — | 15 | 1 | no | — |
| 656 | C4⋊C4 | — | 15 | 1 | no | — |
| 657 | C4⋊C4 | — | 15 | 2 | no | — |
| 658 | C4⋊C4 | — | 30 | 1 | no | — |
| 659 | C4⋊C4 | — | 30 | 2 | no | — |
| 660 | C4⋊C4 | — | 30 | 2 | no | — |
| 661 | C22⋊C4 | — | 15 | 2 | no | — |
| 662 | C22⋊C4 | — | 30 | 2 | no | — |
| 663 | C22⋊C4 | — | 30 | 2 | no | — |
| 664 | C42 | — | 15 | 2 | no | — |
| 665 | C42 | — | 30 | 2 | no | — |
| 666 | C42 | — | 30 | 2 | no | — |
| 667 | C3×C5 | #2952 | 1 | 1 | yes | characteristic, complemented, Hall |
| 668 | C22×C3 | — | 2 | 1 | no | — |
| 669 | C22×C3 | — | 5 | 1 | no | — |
| 670 | C22×C3 | — | 5 | 1 | no | — |
| 671 | C22×C3 | — | 10 | 1 | no | — |
| 672 | C22×C3 | — | 10 | 1 | no | — |
| 673 | C22×C3 | — | 10 | 1 | no | — |
| 674 | C22×C3 | — | 20 | 1 | no | — |
| 675 | C22×C3 | — | 20 | 1 | no | — |
| 676 | C22×C3 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 677 | C2×D3 | — | 2 | 1 | no | — |
| 678 | C2×D3 | — | 10 | 1 | no | — |
| 679 | C2×D3 | — | 20 | 1 | no | — |
| 680 | C2×D3 | — | 20 | 1 | no | — |
| 681 | C3×C4 | — | 2 | 1 | no | — |
| 682 | C3×C4 | — | 5 | 1 | no | — |
| 683 | C3×C4 | — | 5 | 1 | no | — |
| 684 | C3×C4 | — | 10 | 1 | no | — |
| 685 | C3×C4 | — | 20 | 2 | no | — |
| 686 | C3×C4 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 687 | C3×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 688 | Dic3 | — | 2 | 1 | no | — |
| 689 | Dic3 | — | 10 | 2 | no | — |
| 690 | Dic3 | — | 10 | 2 | no | — |
| 691 | Dic3 | — | 10 | 1 | no | — |
| 692 | Dic3 | — | 20 | 2 | no | — |
| 693 | C2×C5 | — | 2 | 1 | no | — |
| 694 | C2×C5 | — | 4 | 1 | no | — |
| 695 | C2×C5 | — | 12 | 1 | no | — |
| 696 | C2×C5 | C2×#67⋊C4 | 1 | 1 | yes | characteristic |
| 697 | D5 | — | 2 | 1 | no | — |
| 698 | D5 | — | 4 | 1 | no | — |
| 699 | D5 | — | 12 | 1 | no | — |
| 700 | D5 | #5775 | 1 | 1 | yes | characteristic |
| 701 | D5 | #5778 | 1 | 1 | yes | characteristic |
| 702 | C23 | — | 5 | 1 | no | — |
| 703 | C23 | — | 10 | 1 | no | — |
| 704 | C23 | — | 30 | 1 | no | — |
| 705 | Q8 | — | 3 | 1 | no | — |
| 706 | Q8 | — | 5 | 1 | no | — |
| 707 | Q8 | — | 10 | 1 | no | — |
| 708 | Q8 | — | 15 | 1 | no | — |
| 709 | Q8 | — | 30 | 1 | no | — |
| 710 | Q8 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 711 | D4 | — | 2 | 1 | no | — |
| 712 | D4 | — | 3 | 1 | no | — |
| 713 | D4 | — | 5 | 1 | no | — |
| 714 | D4 | — | 6 | 1 | no | — |
| 715 | D4 | — | 10 | 1 | no | — |
| 716 | D4 | — | 10 | 1 | no | — |
| 717 | D4 | — | 10 | 1 | no | — |
| 718 | D4 | — | 10 | 1 | no | — |
| 719 | D4 | — | 15 | 1 | no | — |
| 720 | D4 | — | 30 | 1 | no | — |
| 721 | D4 | — | 30 | 1 | no | — |
| 722 | D4 | — | 30 | 1 | no | — |
| 723 | D4 | — | 30 | 1 | no | — |
| 724 | D4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 725 | C2×C4 | — | 2 | 1 | no | — |
| 726 | C2×C4 | — | 5 | 1 | no | — |
| 727 | C2×C4 | — | 5 | 1 | no | — |
| 728 | C2×C4 | — | 5 | 1 | no | — |
| 729 | C2×C4 | — | 5 | 1 | no | — |
| 730 | C2×C4 | — | 5 | 1 | no | — |
| 731 | C2×C4 | — | 6 | 1 | no | — |
| 732 | C2×C4 | — | 10 | 1 | no | — |
| 733 | C2×C4 | — | 10 | 1 | no | — |
| 734 | C2×C4 | — | 10 | 1 | no | — |
| 735 | C2×C4 | — | 10 | 1 | no | — |
| 736 | C2×C4 | — | 10 | 2 | no | — |
| 737 | C2×C4 | — | 15 | 2 | no | — |
| 738 | C2×C4 | — | 15 | 2 | no | — |
| 739 | C2×C4 | — | 30 | 1 | no | — |
| 740 | C2×C4 | — | 30 | 1 | no | — |
| 741 | C2×C4 | — | 30 | 1 | no | — |
| 742 | C2×C4 | — | 30 | 1 | no | — |
| 743 | C2×C4 | — | 30 | 2 | no | — |
| 744 | C2×C4 | — | 40 | 1 | no | — |
| 745 | C2×C4 | — | 120 | 2 | no | — |
| 746 | C2×C4 | — | 120 | 2 | no | — |
| 747 | C2×C4 | — | 120 | 1 | no | — |
| 748 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 749 | C8 | — | 3 | 1 | no | — |
| 750 | C8 | — | 3 | 1 | no | — |
| 751 | C8 | — | 10 | 2 | no | — |
| 752 | C8 | — | 15 | 1 | no | — |
| 753 | C8 | — | 15 | 1 | no | — |
| 754 | C2×C3 | — | 2 | 1 | no | — |
| 755 | C2×C3 | — | 4 | 1 | no | — |
| 756 | C2×C3 | — | 5 | 1 | no | — |
| 757 | C2×C3 | — | 5 | 1 | no | — |
| 758 | C2×C3 | — | 10 | 1 | no | — |
| 759 | C2×C3 | — | 20 | 1 | no | — |
| 760 | C2×C3 | C2×D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 761 | D3 | — | 4 | 1 | no | — |
| 762 | D3 | — | 20 | 1 | no | — |
| 763 | C5 | #78869 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 764 | C22 | — | 2 | 1 | no | — |
| 765 | C22 | — | 5 | 1 | no | — |
| 766 | C22 | — | 5 | 1 | no | — |
| 767 | C22 | — | 6 | 1 | no | — |
| 768 | C22 | — | 10 | 1 | no | — |
| 769 | C22 | — | 10 | 1 | no | — |
| 770 | C22 | — | 10 | 1 | no | — |
| 771 | C22 | — | 20 | 1 | no | — |
| 772 | C22 | — | 20 | 1 | no | — |
| 773 | C22 | — | 30 | 1 | no | — |
| 774 | C22 | — | 60 | 1 | no | — |
| 775 | C22 | — | 60 | 1 | no | — |
| 776 | C22 | #67⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 777 | C4 | — | 2 | 1 | no | — |
| 778 | C4 | — | 5 | 1 | no | — |
| 779 | C4 | — | 5 | 1 | no | — |
| 780 | C4 | — | 6 | 1 | no | — |
| 781 | C4 | — | 10 | 1 | no | — |
| 782 | C4 | — | 20 | 2 | no | — |
| 783 | C4 | — | 30 | 2 | no | — |
| 784 | C4 | — | 30 | 2 | no | — |
| 785 | C4 | — | 30 | 1 | no | — |
| 786 | C4 | — | 60 | 2 | no | — |
| 787 | C4 | #67⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 788 | C4 | C22×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 789 | C3 | #10617441 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 790 | C2 | — | 2 | 1 | no | — |
| 791 | C2 | — | 4 | 1 | no | — |
| 792 | C2 | — | 5 | 1 | no | — |
| 793 | C2 | — | 5 | 1 | no | — |
| 794 | C2 | — | 10 | 1 | no | — |
| 795 | C2 | — | 12 | 1 | no | — |
| 796 | C2 | — | 20 | 1 | no | — |
| 797 | C2 | — | 60 | 1 | no | — |
| 798 | C2 | C2×#67⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta