Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1096 conjugacy classes of subgroups.
The subgroup lattice has 880 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11757060 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11752453 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#65795 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11751817 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751814 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11751717 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11751703 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10605020 | — | 3 | 1 | no | maximal, Hall |
| 9 | #92100 | C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | C5×#1010 | C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | C3×D5×#41 | C22 | 1 | 1 | yes | characteristic |
| 12 | D3×#713 | — | 2 | 1 | no | — |
| 13 | #92029 | — | 2 | 1 | no | — |
| 14 | #92026 | — | 2 | 1 | no | — |
| 15 | #92026 | — | 2 | 2 | no | — |
| 16 | #92024 | — | 2 | 1 | no | — |
| 17 | #92024 | — | 2 | 2 | no | — |
| 18 | #92019 | — | 2 | 1 | no | — |
| 19 | #92019 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | D5×#235 | — | 2 | 1 | no | — |
| 21 | D5×#235 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#6773 | — | 2 | 1 | no | — |
| 23 | C2×#6773 | C22 | 1 | 1 | yes | characteristic |
| 24 | #92000 | — | 2 | 1 | no | — |
| 25 | #92000 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | #91989 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×D5⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×#4130 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C2×C3×#700 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #91238 | — | 2 | 1 | no | — |
| 31 | #91236 | — | 2 | 1 | no | — |
| 32 | C3×#4010 | — | 2 | 1 | no | — |
| 33 | C3×#4008 | — | 2 | 1 | no | — |
| 34 | #91173 | — | 2 | 2 | no | — |
| 35 | #91171 | — | 2 | 2 | no | — |
| 36 | #91157 | — | 2 | 1 | no | — |
| 37 | #91155 | — | 2 | 1 | no | — |
| 38 | #91153 | — | 2 | 1 | no | — |
| 39 | #91151 | — | 2 | 1 | no | — |
| 40 | #70413 | — | 5 | 1 | no | maximal, Hall |
| 41 | #66287 | — | 3 | 1 | no | — |
| 42 | #65795 | — | 3 | 1 | no | — |
| 43 | #65795 | D3 | 1 | 1 | yes | characteristic, complemented |
| 44 | #65794 | — | 3 | 1 | no | — |
| 45 | #65794 | — | 3 | 1 | no | — |
| 46 | #65787 | — | 3 | 1 | no | — |
| 47 | #65785 | — | 3 | 1 | no | — |
| 48 | C3×C5×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | #6821 | — | 2 | 1 | no | — |
| 50 | D4×D15 | — | 2 | 2 | no | — |
| 51 | D4×D15 | — | 2 | 1 | no | — |
| 52 | #6817 | — | 2 | 1 | no | — |
| 53 | #6817 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | C2×D60 | — | 2 | 1 | no | — |
| 55 | C2×D60 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C5×D3×Q8 | — | 2 | 1 | no | — |
| 57 | C5×#237 | — | 2 | 1 | no | — |
| 58 | C5×#237 | — | 2 | 2 | no | — |
| 59 | C5×#235 | — | 2 | 1 | no | — |
| 60 | C5×#235 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | C2×C5×Dic6 | — | 2 | 1 | no | — |
| 62 | C2×C5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | C3×#713 | D4 | 1 | 1 | yes | characteristic |
| 64 | C3×Q8×D5 | D4 | 1 | 1 | yes | characteristic |
| 65 | C3×#711 | — | 2 | 1 | no | — |
| 66 | C3×#711 | D4 | 1 | 1 | yes | characteristic |
| 67 | C3×D4×D5 | — | 2 | 1 | no | — |
| 68 | C3×D4×D5 | D4 | 1 | 1 | yes | characteristic |
| 69 | C3×#709 | — | 2 | 1 | no | — |
| 70 | C3×#709 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | C2×C3×C4×D5 | — | 2 | 1 | no | — |
| 72 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 73 | #6790 | — | 2 | 2 | no | — |
| 74 | #6790 | — | 2 | 2 | no | — |
| 75 | #6790 | — | 2 | 2 | no | — |
| 76 | D5×#67 | — | 2 | 2 | no | — |
| 77 | D5×#67 | — | 2 | 1 | no | — |
| 78 | C2×#1202 | — | 2 | 2 | no | — |
| 79 | C2×#1202 | D4 | 1 | 2 | yes | — |
| 80 | C2×#1200 | — | 2 | 2 | no | — |
| 81 | C2×#1200 | D4 | 1 | 2 | yes | — |
| 82 | #6782 | — | 2 | 2 | no | — |
| 83 | #6782 | — | 2 | 1 | no | — |
| 84 | #6779 | — | 2 | 2 | no | — |
| 85 | #6779 | — | 2 | 2 | no | — |
| 86 | #6779 | — | 2 | 2 | no | — |
| 87 | D3×D20 | — | 2 | 2 | no | — |
| 88 | D3×D20 | — | 2 | 1 | no | — |
| 89 | D5×D12 | — | 2 | 1 | no | — |
| 90 | D5×D12 | D4 | 1 | 1 | yes | characteristic |
| 91 | C4×D3×D5 | — | 2 | 2 | no | — |
| 92 | C4×D3×D5 | — | 2 | 1 | no | — |
| 93 | #6773 | — | 2 | 2 | no | — |
| 94 | #6773 | — | 2 | 2 | no | — |
| 95 | #6773 | — | 2 | 1 | no | — |
| 96 | #6773 | — | 2 | 1 | no | — |
| 97 | #6773 | — | 2 | 1 | no | — |
| 98 | #6773 | — | 2 | 1 | no | — |
| 99 | #6773 | — | 2 | 1 | no | — |
| 100 | #6773 | — | 2 | 1 | no | — |
| 101 | #6773 | D4 | 1 | 1 | yes | characteristic |
| 102 | #6772 | D4 | 1 | 1 | yes | characteristic |
| 103 | #6771 | — | 2 | 2 | no | — |
| 104 | #6771 | — | 2 | 1 | no | — |
| 105 | D15⋊Q8 | — | 2 | 2 | no | — |
| 106 | D15⋊Q8 | — | 2 | 1 | no | — |
| 107 | #6769 | — | 2 | 2 | no | — |
| 108 | #6769 | — | 2 | 1 | no | — |
| 109 | #6766 | — | 2 | 2 | no | — |
| 110 | #6766 | — | 2 | 1 | no | — |
| 111 | D5×Dic6 | — | 2 | 1 | no | — |
| 112 | D5×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 113 | #6763 | — | 2 | 1 | no | — |
| 114 | C2×C3⋊#170 | — | 2 | 1 | no | — |
| 115 | C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 116 | C4×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 117 | D5⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 118 | D5⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 119 | C3×C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 120 | C2×C3×#170 | — | 2 | 1 | no | — |
| 121 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 122 | C3×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 123 | C3×#700 | — | 2 | 1 | no | — |
| 124 | C3×#700 | — | 2 | 1 | no | — |
| 125 | #5964 | — | 5 | 1 | no | — |
| 126 | C3×#421 | — | 5 | 1 | no | — |
| 127 | #5233 | — | 5 | 1 | no | — |
| 128 | #5139 | — | 5 | 1 | no | — |
| 129 | #5129 | — | 5 | 1 | no | — |
| 130 | #5006 | — | 5 | 1 | no | — |
| 131 | #5002 | — | 5 | 1 | no | — |
| 132 | C5×2−1+4 | — | 3 | 1 | no | — |
| 133 | #4149 | — | 3 | 1 | no | — |
| 134 | #4149 | — | 3 | 1 | no | — |
| 135 | #4149 | — | 6 | 2 | no | — |
| 136 | #4149 | — | 6 | 1 | no | — |
| 137 | #4149 | — | 6 | 1 | no | — |
| 138 | D5×#41 | — | 3 | 1 | no | — |
| 139 | D5×#41 | — | 6 | 1 | no | — |
| 140 | D5×#41 | — | 6 | 2 | no | — |
| 141 | D5×#41 | — | 6 | 1 | no | — |
| 142 | D5×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 143 | #4147 | — | 3 | 1 | no | — |
| 144 | #4147 | — | 6 | 1 | no | — |
| 145 | #4147 | — | 6 | 1 | no | — |
| 146 | C2×#713 | — | 3 | 1 | no | — |
| 147 | C2×#713 | — | 6 | 1 | no | — |
| 148 | C2×#713 | — | 6 | 1 | no | — |
| 149 | #4130 | — | 3 | 1 | no | — |
| 150 | #4130 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 151 | C2×#700 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 152 | C2×D5⋊C8 | — | 3 | 1 | no | — |
| 153 | #4010 | — | 2 | 1 | no | — |
| 154 | #4010 | — | 6 | 1 | no | — |
| 155 | #4009 | — | 6 | 1 | no | — |
| 156 | #4009 | — | 6 | 1 | no | — |
| 157 | #4008 | — | 2 | 1 | no | — |
| 158 | #4008 | — | 6 | 1 | no | — |
| 159 | #4007 | — | 6 | 1 | no | — |
| 160 | #4007 | — | 6 | 1 | no | — |
| 161 | #4003 | — | 6 | 2 | no | — |
| 162 | #3999 | — | 6 | 2 | no | — |
| 163 | #1794 | — | 15 | 1 | no | Sylow |
| 164 | C22×D15 | — | 2 | 2 | no | — |
| 165 | C22×D15 | C22⋊C4 | 1 | 2 | yes | — |
| 166 | C22×C3×D5 | — | 2 | 1 | no | — |
| 167 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×D3×D5 | — | 2 | 2 | no | — |
| 169 | C2×D3×D5 | — | 2 | 1 | no | — |
| 170 | C2×ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 171 | C2×C3×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 172 | C3×C5×Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 173 | C3×C5×D4 | — | 2 | 1 | no | — |
| 174 | C3×C5×D4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 175 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 176 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 177 | #1220 | — | 2 | 2 | no | — |
| 178 | #1220 | — | 2 | 1 | no | — |
| 179 | D60 | — | 2 | 2 | no | — |
| 180 | D60 | — | 2 | 1 | no | — |
| 181 | D60 | — | 2 | 1 | no | — |
| 182 | D60 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 183 | C4×D15 | — | 2 | 2 | no | — |
| 184 | C4×D15 | — | 2 | 1 | no | — |
| 185 | Dic30 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 186 | C5×#67 | — | 2 | 2 | no | — |
| 187 | C5×#67 | — | 2 | 1 | no | — |
| 188 | C2×C5×Dic3 | — | 2 | 2 | no | — |
| 189 | C2×C5×Dic3 | C22⋊C4 | 1 | 2 | yes | — |
| 190 | C5×D12 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 191 | C4×C5×D3 | — | 2 | 2 | no | — |
| 192 | C4×C5×D3 | — | 2 | 1 | no | — |
| 193 | C5×Dic6 | — | 2 | 2 | no | — |
| 194 | C5×Dic6 | — | 2 | 1 | no | — |
| 195 | C5×Dic6 | — | 2 | 1 | no | — |
| 196 | C5×Dic6 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 197 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 198 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 199 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 200 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 201 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C3×D20 | — | 2 | 1 | no | — |
| 203 | C3×D20 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 204 | C3×C4×D5 | — | 2 | 1 | no | — |
| 205 | C3×C4×D5 | — | 2 | 1 | no | — |
| 206 | C3×C4×D5 | — | 2 | 1 | no | — |
| 207 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C3×Dic10 | — | 2 | 1 | no | — |
| 212 | C3×Dic10 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 213 | #1204 | — | 2 | 2 | no | — |
| 214 | #1204 | — | 2 | 1 | no | — |
| 215 | #1203 | — | 2 | 2 | no | — |
| 216 | #1203 | — | 2 | 1 | no | — |
| 217 | #1202 | — | 2 | 2 | no | — |
| 218 | #1202 | — | 2 | 2 | no | — |
| 219 | #1202 | — | 2 | 2 | no | — |
| 220 | #1202 | — | 2 | 2 | no | — |
| 221 | #1202 | — | 2 | 1 | no | — |
| 222 | #1201 | — | 2 | 1 | no | — |
| 223 | #1200 | — | 2 | 2 | no | — |
| 224 | #1200 | — | 2 | 2 | no | — |
| 225 | #1200 | — | 2 | 2 | no | — |
| 226 | #1200 | — | 2 | 2 | no | — |
| 227 | #1200 | — | 2 | 1 | no | — |
| 228 | D3×Dic5 | — | 2 | 1 | no | — |
| 229 | D5×Dic3 | — | 2 | 2 | no | — |
| 230 | D5×Dic3 | — | 2 | 1 | no | — |
| 231 | C3⋊#170 | — | 4 | 1 | no | — |
| 232 | C3×#170 | — | 4 | 1 | no | — |
| 233 | C2×C3×#41 | — | 5 | 1 | no | — |
| 234 | #1010 | — | 5 | 1 | no | — |
| 235 | #1010 | — | 10 | 1 | no | — |
| 236 | #1010 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 237 | #1009 | — | 5 | 1 | no | — |
| 238 | #1009 | — | 5 | 1 | no | — |
| 239 | #1009 | — | 10 | 1 | no | — |
| 240 | D3×#41 | — | 10 | 2 | no | — |
| 241 | D3×#41 | — | 10 | 1 | no | — |
| 242 | D3×#41 | — | 10 | 1 | no | — |
| 243 | #1007 | — | 10 | 1 | no | — |
| 244 | #1004 | — | 10 | 2 | no | — |
| 245 | #1004 | — | 10 | 1 | no | — |
| 246 | C2×#235 | — | 5 | 1 | no | — |
| 247 | C2×#235 | — | 5 | 1 | no | — |
| 248 | C2×#235 | — | 10 | 1 | no | — |
| 249 | C2×#235 | — | 10 | 1 | no | — |
| 250 | C2×C3×M16 | — | 5 | 1 | no | — |
| 251 | C3×#117 | — | 5 | 1 | no | — |
| 252 | #926 | — | 5 | 1 | no | — |
| 253 | C22×C3⋊C8 | — | 5 | 1 | no | — |
| 254 | C3×#104 | — | 10 | 1 | no | — |
| 255 | C3×#104 | — | 10 | 1 | no | — |
| 256 | #835 | — | 10 | 1 | no | — |
| 257 | #832 | — | 10 | 1 | no | — |
| 258 | #825 | — | 10 | 1 | no | — |
| 259 | #825 | — | 10 | 1 | no | — |
| 260 | (C2×D3)⋊C8 | — | 10 | 2 | no | — |
| 261 | #810 | — | 10 | 1 | no | — |
| 262 | #809 | — | 10 | 1 | no | — |
| 263 | #806 | — | 10 | 2 | no | — |
| 264 | C5×#41 | — | 3 | 1 | no | — |
| 265 | C5×#41 | — | 6 | 1 | no | — |
| 266 | C5×#41 | — | 6 | 2 | no | — |
| 267 | C5×#41 | — | 6 | 1 | no | — |
| 268 | C5×#41 | C4×D3 | 1 | 1 | yes | characteristic |
| 269 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 270 | C2×C5×Q8 | — | 6 | 1 | no | — |
| 271 | C2×C5×Q8 | — | 6 | 1 | no | — |
| 272 | #713 | — | 3 | 1 | no | — |
| 273 | #713 | — | 6 | 1 | no | — |
| 274 | #713 | — | 6 | 1 | no | — |
| 275 | #713 | — | 6 | 2 | no | — |
| 276 | #713 | — | 6 | 2 | no | — |
| 277 | #713 | — | 6 | 2 | no | — |
| 278 | #713 | — | 6 | 1 | no | — |
| 279 | #713 | — | 6 | 1 | no | — |
| 280 | #713 | — | 6 | 1 | no | — |
| 281 | #713 | — | 6 | 1 | no | — |
| 282 | #713 | — | 6 | 1 | no | — |
| 283 | #713 | — | 6 | 1 | no | — |
| 284 | #713 | #67 | 1 | 1 | yes | characteristic |
| 285 | Q8×D5 | — | 3 | 1 | no | — |
| 286 | Q8×D5 | — | 6 | 2 | no | — |
| 287 | Q8×D5 | — | 6 | 1 | no | — |
| 288 | Q8×D5 | — | 6 | 1 | no | — |
| 289 | Q8×D5 | D12 | 1 | 1 | yes | characteristic |
| 290 | #711 | — | 2 | 1 | no | — |
| 291 | #711 | — | 3 | 1 | no | — |
| 292 | #711 | — | 6 | 2 | no | — |
| 293 | #711 | — | 6 | 1 | no | — |
| 294 | #711 | #67 | 1 | 1 | yes | characteristic |
| 295 | D4×D5 | — | 2 | 1 | no | — |
| 296 | D4×D5 | — | 3 | 1 | no | — |
| 297 | D4×D5 | — | 6 | 1 | no | — |
| 298 | D4×D5 | — | 6 | 2 | no | — |
| 299 | D4×D5 | — | 6 | 2 | no | — |
| 300 | D4×D5 | — | 6 | 2 | no | — |
| 301 | D4×D5 | — | 6 | 2 | no | — |
| 302 | D4×D5 | — | 6 | 2 | no | — |
| 303 | D4×D5 | — | 6 | 1 | no | — |
| 304 | D4×D5 | — | 6 | 1 | no | — |
| 305 | D4×D5 | D12 | 1 | 1 | yes | characteristic |
| 306 | #709 | — | 2 | 1 | no | — |
| 307 | #709 | — | 3 | 1 | no | — |
| 308 | #709 | — | 6 | 2 | no | — |
| 309 | #709 | — | 6 | 1 | no | — |
| 310 | #709 | — | 6 | 2 | no | — |
| 311 | #709 | — | 6 | 2 | no | — |
| 312 | #709 | — | 6 | 2 | no | — |
| 313 | #709 | — | 6 | 2 | no | — |
| 314 | #709 | — | 6 | 1 | no | — |
| 315 | #709 | — | 6 | 1 | no | — |
| 316 | #709 | C4×D3 | 1 | 1 | yes | characteristic |
| 317 | C2×D20 | — | 3 | 2 | no | — |
| 318 | C2×D20 | — | 3 | 1 | no | — |
| 319 | C2×D20 | — | 6 | 2 | no | — |
| 320 | C2×D20 | — | 6 | 1 | no | — |
| 321 | C2×D20 | — | 6 | 2 | no | — |
| 322 | C2×D20 | — | 6 | 1 | no | — |
| 323 | C2×C4×D5 | — | 2 | 1 | no | — |
| 324 | C2×C4×D5 | — | 3 | 2 | no | — |
| 325 | C2×C4×D5 | — | 6 | 2 | no | — |
| 326 | C2×C4×D5 | — | 6 | 2 | no | — |
| 327 | C2×C4×D5 | — | 6 | 1 | no | — |
| 328 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 329 | C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 330 | C22⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 331 | C2×#170 | — | 2 | 1 | no | — |
| 332 | C2×#170 | — | 6 | 1 | no | — |
| 333 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 334 | C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 335 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 336 | C4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 337 | #700 | — | 2 | 1 | no | — |
| 338 | #700 | — | 2 | 1 | no | — |
| 339 | D5⋊C8 | — | 6 | 1 | no | — |
| 340 | D5⋊C8 | — | 6 | 1 | no | — |
| 341 | #585 | — | 15 | 1 | no | — |
| 342 | #421 | — | 5 | 1 | no | — |
| 343 | #421 | — | 15 | 1 | no | — |
| 344 | #416 | — | 15 | 1 | no | — |
| 345 | #416 | — | 15 | 1 | no | — |
| 346 | #410 | — | 15 | 1 | no | — |
| 347 | #408 | — | 15 | 1 | no | — |
| 348 | C22×C3×C5 | — | 2 | 1 | no | — |
| 349 | C22×C3×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 350 | C2×D15 | — | 2 | 2 | no | — |
| 351 | C2×D15 | — | 2 | 1 | no | — |
| 352 | C2×D15 | — | 4 | 2 | no | — |
| 353 | C2×D15 | — | 8 | 2 | no | — |
| 354 | C2×C5×D3 | — | 2 | 1 | no | — |
| 355 | C2×C3×D5 | — | 2 | 1 | no | — |
| 356 | C2×C3×D5 | — | 4 | 1 | no | — |
| 357 | C2×C3×D5 | — | 8 | 1 | no | — |
| 358 | C2×C3×D5 | #120 | 1 | 1 | yes | characteristic |
| 359 | C2×C3×D5 | #120 | 1 | 1 | yes | characteristic |
| 360 | D3×D5 | — | 8 | 1 | no | — |
| 361 | D3×D5 | — | 8 | 2 | no | — |
| 362 | ΓL(1,𝔽16) | — | 8 | 1 | no | — |
| 363 | C3×AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 364 | C3×C4×C5 | — | 2 | 1 | no | — |
| 365 | C3×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 366 | C3×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 367 | Dic15 | — | 2 | 1 | no | — |
| 368 | C3×Dic5 | — | 2 | 1 | no | — |
| 369 | C3×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 370 | C3×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 371 | C5×Dic3 | — | 2 | 2 | no | — |
| 372 | C5×Dic3 | — | 2 | 1 | no | — |
| 373 | C3×#41 | — | 5 | 1 | no | — |
| 374 | C3×#41 | — | 5 | 1 | no | — |
| 375 | C3×#41 | — | 5 | 1 | no | — |
| 376 | C3×#41 | — | 10 | 1 | no | — |
| 377 | C3×#41 | — | 10 | 1 | no | — |
| 378 | C3×#41 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 379 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 380 | C2×C3×D4 | — | 5 | 1 | no | — |
| 381 | C2×C3×D4 | — | 10 | 1 | no | — |
| 382 | C22×C3×C4 | — | 5 | 1 | no | — |
| 383 | C22×C3×C4 | — | 10 | 1 | no | — |
| 384 | C2×#67 | — | 5 | 2 | no | — |
| 385 | C2×#67 | — | 10 | 2 | no | — |
| 386 | C2×#67 | — | 10 | 1 | no | — |
| 387 | C2×#67 | — | 10 | 2 | no | — |
| 388 | #239 | — | 10 | 1 | no | — |
| 389 | #239 | — | 10 | 2 | no | — |
| 390 | #239 | — | 10 | 1 | no | — |
| 391 | D3×Q8 | — | 2 | 1 | no | — |
| 392 | D3×Q8 | — | 10 | 1 | no | — |
| 393 | D3×Q8 | — | 10 | 2 | no | — |
| 394 | #237 | — | 2 | 1 | no | — |
| 395 | #237 | — | 2 | 2 | no | — |
| 396 | #237 | — | 10 | 1 | no | — |
| 397 | #237 | — | 10 | 2 | no | — |
| 398 | #237 | — | 10 | 2 | no | — |
| 399 | #237 | — | 10 | 2 | no | — |
| 400 | #237 | — | 10 | 2 | no | — |
| 401 | D3×D4 | — | 10 | 1 | no | — |
| 402 | D3×D4 | — | 10 | 2 | no | — |
| 403 | D3×D4 | — | 10 | 2 | no | — |
| 404 | D3×D4 | — | 10 | 2 | no | — |
| 405 | D3×D4 | — | 10 | 2 | no | — |
| 406 | D3×D4 | — | 10 | 2 | no | — |
| 407 | D3×D4 | — | 10 | 1 | no | — |
| 408 | #235 | — | 2 | 1 | no | — |
| 409 | #235 | — | 5 | 1 | no | — |
| 410 | #235 | — | 5 | 1 | no | — |
| 411 | #235 | — | 5 | 1 | no | — |
| 412 | #235 | — | 10 | 1 | no | — |
| 413 | #235 | — | 10 | 1 | no | — |
| 414 | #235 | — | 10 | 1 | no | — |
| 415 | #235 | — | 10 | 1 | no | — |
| 416 | #235 | — | 10 | 1 | no | — |
| 417 | #235 | — | 10 | 2 | no | — |
| 418 | #235 | — | 10 | 2 | no | — |
| 419 | #235 | — | 10 | 1 | no | — |
| 420 | #235 | — | 10 | 1 | no | — |
| 421 | #235 | — | 10 | 2 | no | — |
| 422 | #235 | — | 10 | 1 | no | — |
| 423 | #235 | — | 10 | 2 | no | — |
| 424 | #235 | — | 10 | 1 | no | — |
| 425 | #235 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 426 | C2×D12 | — | 5 | 1 | no | — |
| 427 | C2×D12 | — | 5 | 1 | no | — |
| 428 | C2×D12 | — | 10 | 1 | no | — |
| 429 | C2×D12 | — | 10 | 1 | no | — |
| 430 | C2×C4×D3 | — | 5 | 2 | no | — |
| 431 | C2×C4×D3 | — | 10 | 1 | no | — |
| 432 | C2×C4×D3 | — | 10 | 2 | no | — |
| 433 | C2×C4×D3 | — | 10 | 2 | no | — |
| 434 | C2×Dic6 | — | 2 | 1 | no | — |
| 435 | C2×Dic6 | — | 5 | 1 | no | — |
| 436 | C2×Dic6 | — | 10 | 1 | no | — |
| 437 | C2×Dic6 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 438 | C3×M16 | — | 10 | 1 | no | — |
| 439 | C3×M16 | — | 10 | 1 | no | — |
| 440 | C2×C3×C8 | — | 10 | 1 | no | — |
| 441 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 442 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 443 | C3×C42 | — | 10 | 1 | no | — |
| 444 | #217 | — | 10 | 1 | no | — |
| 445 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 446 | C4×Dic3 | — | 10 | 1 | no | — |
| 447 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 448 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 449 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 450 | C22×D5 | — | 2 | 1 | no | — |
| 451 | C22×D5 | — | 3 | 2 | no | — |
| 452 | C22×D5 | — | 6 | 2 | no | — |
| 453 | C22×D5 | — | 6 | 2 | no | — |
| 454 | C22×D5 | — | 6 | 1 | no | — |
| 455 | C22×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 456 | C2×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 457 | C2×AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 458 | C5×Q8 | — | 3 | 1 | no | — |
| 459 | C5×Q8 | — | 6 | 2 | no | — |
| 460 | C5×Q8 | — | 6 | 1 | no | — |
| 461 | C5×Q8 | — | 6 | 1 | no | — |
| 462 | C5×Q8 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 463 | C5×D4 | — | 2 | 1 | no | — |
| 464 | C5×D4 | — | 3 | 1 | no | — |
| 465 | C5×D4 | — | 6 | 2 | no | — |
| 466 | C5×D4 | — | 6 | 1 | no | — |
| 467 | C5×D4 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 468 | C2×C4×C5 | — | 2 | 1 | no | — |
| 469 | C2×C4×C5 | — | 3 | 2 | no | — |
| 470 | C2×C4×C5 | — | 6 | 2 | no | — |
| 471 | C2×C4×C5 | — | 6 | 2 | no | — |
| 472 | C2×C4×C5 | — | 6 | 1 | no | — |
| 473 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 474 | C22⋊D5 | — | 2 | 1 | no | — |
| 475 | C22⋊D5 | — | 2 | 1 | no | — |
| 476 | C22⋊D5 | — | 2 | 1 | no | — |
| 477 | C22⋊D5 | — | 6 | 2 | no | — |
| 478 | C22⋊D5 | — | 6 | 2 | no | — |
| 479 | C22⋊D5 | — | 6 | 1 | no | — |
| 480 | C22⋊D5 | — | 6 | 1 | no | — |
| 481 | C22⋊D5 | — | 6 | 1 | no | — |
| 482 | C2×Dic5 | — | 2 | 1 | no | — |
| 483 | C2×Dic5 | — | 6 | 1 | no | — |
| 484 | C2×Dic5 | D3×D4 | 1 | 1 | yes | characteristic |
| 485 | D20 | — | 2 | 1 | no | — |
| 486 | D20 | — | 3 | 1 | no | — |
| 487 | D20 | — | 6 | 2 | no | — |
| 488 | D20 | — | 6 | 2 | no | — |
| 489 | D20 | — | 6 | 2 | no | — |
| 490 | D20 | — | 6 | 2 | no | — |
| 491 | D20 | — | 6 | 1 | no | — |
| 492 | D20 | — | 6 | 2 | no | — |
| 493 | D20 | — | 6 | 1 | no | — |
| 494 | D20 | — | 6 | 1 | no | — |
| 495 | D20 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 496 | C4×D5 | — | 2 | 1 | no | — |
| 497 | C4×D5 | — | 2 | 1 | no | — |
| 498 | C4×D5 | — | 2 | 1 | no | — |
| 499 | C4×D5 | — | 6 | 2 | no | — |
| 500 | C4×D5 | — | 6 | 2 | no | — |
| 501 | C4×D5 | — | 6 | 2 | no | — |
| 502 | C4×D5 | — | 6 | 2 | no | — |
| 503 | C4×D5 | — | 6 | 1 | no | — |
| 504 | C4×D5 | — | 6 | 1 | no | — |
| 505 | C4×D5 | — | 6 | 2 | no | — |
| 506 | C4×D5 | — | 6 | 2 | no | — |
| 507 | C4×D5 | — | 6 | 1 | no | — |
| 508 | C4×D5 | C2×D12 | 1 | 1 | yes | characteristic |
| 509 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 510 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 511 | C4×D5 | C2×#67 | 1 | 1 | yes | characteristic |
| 512 | Dic10 | — | 2 | 1 | no | — |
| 513 | Dic10 | — | 3 | 1 | no | — |
| 514 | Dic10 | — | 6 | 2 | no | — |
| 515 | Dic10 | — | 6 | 1 | no | — |
| 516 | Dic10 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 517 | #170 | — | 4 | 1 | no | — |
| 518 | #170 | — | 12 | 1 | no | — |
| 519 | 2−1+4 | — | 3 | 1 | no | — |
| 520 | 2−1+4 | — | 15 | 1 | no | — |
| 521 | 2−1+4 | — | 30 | 1 | no | — |
| 522 | 2−1+4 | — | 30 | 1 | no | — |
| 523 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 524 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 525 | H(5,𝔽2) | — | 30 | 1 | no | — |
| 526 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 527 | H(5,𝔽2) | — | 30 | 1 | no | — |
| 528 | C2×#41 | — | 5 | 1 | no | — |
| 529 | C2×#41 | — | 15 | 1 | no | — |
| 530 | C2×#41 | — | 15 | 1 | no | — |
| 531 | C2×#41 | — | 30 | 1 | no | — |
| 532 | C2×#41 | — | 30 | 1 | no | — |
| 533 | C2×#41 | — | 30 | 2 | no | — |
| 534 | C2×#41 | — | 30 | 1 | no | — |
| 535 | C2×#41 | — | 30 | 1 | no | — |
| 536 | C2×M16 | — | 5 | 1 | no | — |
| 537 | C22×C8 | — | 15 | 1 | no | — |
| 538 | #117 | — | 5 | 1 | no | — |
| 539 | #117 | — | 15 | 1 | no | — |
| 540 | #104 | — | 10 | 1 | no | — |
| 541 | #104 | — | 10 | 1 | no | — |
| 542 | #104 | — | 30 | 1 | no | — |
| 543 | #104 | — | 30 | 1 | no | — |
| 544 | #103 | — | 30 | 1 | no | — |
| 545 | #103 | — | 30 | 1 | no | — |
| 546 | #102 | — | 30 | 1 | no | — |
| 547 | #102 | — | 30 | 1 | no | — |
| 548 | #99 | — | 30 | 2 | no | — |
| 549 | C22⋊C8 | — | 30 | 2 | no | — |
| 550 | C2×C3×C5 | — | 2 | 1 | no | — |
| 551 | C2×C3×C5 | — | 4 | 1 | no | — |
| 552 | C2×C3×C5 | #379 | 1 | 1 | yes | characteristic |
| 553 | D15 | — | 4 | 2 | no | — |
| 554 | D15 | — | 4 | 1 | no | — |
| 555 | C3×D5 | — | 2 | 1 | no | — |
| 556 | C3×D5 | — | 2 | 1 | no | — |
| 557 | C3×D5 | — | 4 | 1 | no | — |
| 558 | C5×D3 | — | 4 | 1 | no | — |
| 559 | C23×C3 | — | 5 | 1 | no | — |
| 560 | C23×C3 | — | 10 | 1 | no | — |
| 561 | C22×D3 | — | 5 | 2 | no | — |
| 562 | C22×D3 | — | 10 | 1 | no | — |
| 563 | C22×D3 | — | 10 | 2 | no | — |
| 564 | C22×D3 | — | 10 | 2 | no | — |
| 565 | C3×Q8 | — | 5 | 1 | no | — |
| 566 | C3×Q8 | — | 10 | 1 | no | — |
| 567 | C3×Q8 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 568 | C3×D4 | — | 2 | 1 | no | — |
| 569 | C3×D4 | — | 5 | 1 | no | — |
| 570 | C3×D4 | — | 10 | 1 | no | — |
| 571 | C3×D4 | — | 10 | 1 | no | — |
| 572 | C3×D4 | — | 10 | 1 | no | — |
| 573 | C3×D4 | — | 10 | 1 | no | — |
| 574 | C3×D4 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 575 | C2×C3×C4 | — | 2 | 1 | no | — |
| 576 | C2×C3×C4 | — | 5 | 1 | no | — |
| 577 | C2×C3×C4 | — | 5 | 1 | no | — |
| 578 | C2×C3×C4 | — | 5 | 1 | no | — |
| 579 | C2×C3×C4 | — | 5 | 1 | no | — |
| 580 | C2×C3×C4 | — | 5 | 1 | no | — |
| 581 | C2×C3×C4 | — | 10 | 1 | no | — |
| 582 | C2×C3×C4 | — | 10 | 1 | no | — |
| 583 | C2×C3×C4 | — | 10 | 1 | no | — |
| 584 | C2×C3×C4 | — | 10 | 1 | no | — |
| 585 | C2×C3×C4 | — | 20 | 1 | no | — |
| 586 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 587 | #67 | — | 2 | 2 | no | — |
| 588 | #67 | — | 2 | 1 | no | — |
| 589 | #67 | — | 10 | 1 | no | — |
| 590 | #67 | — | 10 | 2 | no | — |
| 591 | #67 | — | 10 | 2 | no | — |
| 592 | #67 | — | 10 | 2 | no | — |
| 593 | #67 | — | 10 | 2 | no | — |
| 594 | #67 | — | 10 | 1 | no | — |
| 595 | #67 | — | 10 | 2 | no | — |
| 596 | #67 | — | 10 | 1 | no | — |
| 597 | C2×Dic3 | — | 2 | 2 | no | — |
| 598 | C2×Dic3 | — | 10 | 1 | no | — |
| 599 | C2×Dic3 | — | 10 | 2 | no | — |
| 600 | C2×Dic3 | — | 20 | 1 | no | — |
| 601 | C2×Dic3 | C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 602 | D12 | — | 5 | 1 | no | — |
| 603 | D12 | — | 10 | 2 | no | — |
| 604 | D12 | — | 10 | 1 | no | — |
| 605 | D12 | — | 10 | 2 | no | — |
| 606 | D12 | — | 10 | 1 | no | — |
| 607 | D12 | — | 10 | 1 | no | — |
| 608 | D12 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 609 | C4×D3 | — | 2 | 2 | no | — |
| 610 | C4×D3 | — | 2 | 1 | no | — |
| 611 | C4×D3 | — | 10 | 2 | no | — |
| 612 | C4×D3 | — | 10 | 2 | no | — |
| 613 | C4×D3 | — | 10 | 1 | no | — |
| 614 | C4×D3 | — | 10 | 2 | no | — |
| 615 | C4×D3 | — | 10 | 2 | no | — |
| 616 | C4×D3 | — | 10 | 2 | no | — |
| 617 | C4×D3 | — | 10 | 1 | no | — |
| 618 | C4×D3 | — | 10 | 1 | no | — |
| 619 | Dic6 | — | 2 | 2 | no | — |
| 620 | Dic6 | — | 2 | 1 | no | — |
| 621 | Dic6 | — | 2 | 1 | no | — |
| 622 | Dic6 | — | 5 | 1 | no | — |
| 623 | Dic6 | — | 10 | 1 | no | — |
| 624 | Dic6 | — | 10 | 2 | no | — |
| 625 | Dic6 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 626 | C3×C8 | — | 20 | 1 | no | — |
| 627 | C3⋊C8 | — | 20 | 1 | no | — |
| 628 | C22×C5 | — | 2 | 1 | no | — |
| 629 | C22×C5 | — | 6 | 1 | no | — |
| 630 | C22×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 631 | C2×D5 | — | 2 | 1 | no | — |
| 632 | C2×D5 | — | 4 | 1 | no | — |
| 633 | C2×D5 | — | 6 | 1 | no | — |
| 634 | C2×D5 | — | 6 | 2 | no | — |
| 635 | C2×D5 | — | 8 | 1 | no | — |
| 636 | C2×D5 | — | 12 | 2 | no | — |
| 637 | C2×D5 | — | 24 | 1 | no | — |
| 638 | C2×D5 | — | 24 | 2 | no | — |
| 639 | C2×D5 | — | 24 | 2 | no | — |
| 640 | C2×D5 | #882 | 1 | 1 | yes | characteristic |
| 641 | C2×D5 | #937 | 1 | 1 | yes | characteristic |
| 642 | AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 643 | AGL(1,𝔽5) | — | 24 | 1 | no | — |
| 644 | C4×C5 | — | 2 | 1 | no | — |
| 645 | C4×C5 | — | 6 | 2 | no | — |
| 646 | C4×C5 | — | 6 | 1 | no | — |
| 647 | C4×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 648 | C4×C5 | C2×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 649 | Dic5 | — | 2 | 1 | no | — |
| 650 | Dic5 | — | 6 | 1 | no | — |
| 651 | Dic5 | #882 | 1 | 1 | yes | characteristic |
| 652 | Dic5 | #937 | 1 | 1 | yes | characteristic |
| 653 | #41 | — | 3 | 1 | no | — |
| 654 | #41 | — | 5 | 1 | no | — |
| 655 | #41 | — | 5 | 1 | no | — |
| 656 | #41 | — | 5 | 1 | no | — |
| 657 | #41 | — | 6 | 1 | no | — |
| 658 | #41 | — | 6 | 2 | no | — |
| 659 | #41 | — | 6 | 1 | no | — |
| 660 | #41 | — | 10 | 1 | no | — |
| 661 | #41 | — | 10 | 1 | no | — |
| 662 | #41 | — | 15 | 1 | no | — |
| 663 | #41 | — | 15 | 1 | no | — |
| 664 | #41 | — | 15 | 1 | no | — |
| 665 | #41 | — | 30 | 1 | no | — |
| 666 | #41 | — | 30 | 2 | no | — |
| 667 | #41 | — | 30 | 1 | no | — |
| 668 | #41 | — | 30 | 1 | no | — |
| 669 | #41 | — | 30 | 1 | no | — |
| 670 | #41 | — | 30 | 1 | no | — |
| 671 | #41 | — | 30 | 1 | no | — |
| 672 | #41 | — | 30 | 1 | no | — |
| 673 | #41 | — | 30 | 2 | no | — |
| 674 | #41 | — | 30 | 2 | no | — |
| 675 | #41 | — | 30 | 2 | no | — |
| 676 | #41 | — | 30 | 1 | no | — |
| 677 | #41 | — | 30 | 2 | no | — |
| 678 | #41 | — | 30 | 2 | no | — |
| 679 | #41 | — | 30 | 1 | no | — |
| 680 | #41 | — | 30 | 1 | no | — |
| 681 | #41 | — | 30 | 2 | no | — |
| 682 | #41 | — | 30 | 2 | no | — |
| 683 | #41 | — | 30 | 1 | no | — |
| 684 | #41 | — | 30 | 2 | no | — |
| 685 | #41 | — | 30 | 1 | no | — |
| 686 | #41 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 687 | C2×Q8 | — | 3 | 1 | no | — |
| 688 | C2×Q8 | — | 5 | 1 | no | — |
| 689 | C2×Q8 | — | 6 | 1 | no | — |
| 690 | C2×Q8 | — | 6 | 1 | no | — |
| 691 | C2×Q8 | — | 15 | 1 | no | — |
| 692 | C2×Q8 | — | 30 | 1 | no | — |
| 693 | C2×Q8 | — | 30 | 1 | no | — |
| 694 | C2×Q8 | — | 30 | 2 | no | — |
| 695 | C2×D4 | — | 5 | 1 | no | — |
| 696 | C2×D4 | — | 10 | 1 | no | — |
| 697 | C2×D4 | — | 15 | 2 | no | — |
| 698 | C2×D4 | — | 15 | 1 | no | — |
| 699 | C2×D4 | — | 15 | 1 | no | — |
| 700 | C2×D4 | — | 30 | 1 | no | — |
| 701 | C2×D4 | — | 30 | 1 | no | — |
| 702 | C2×D4 | — | 30 | 2 | no | — |
| 703 | C2×D4 | — | 30 | 2 | no | — |
| 704 | C2×D4 | — | 30 | 1 | no | — |
| 705 | C2×D4 | — | 30 | 2 | no | — |
| 706 | C2×D4 | — | 30 | 2 | no | — |
| 707 | C2×D4 | — | 30 | 2 | no | — |
| 708 | C2×D4 | — | 30 | 2 | no | — |
| 709 | C2×D4 | — | 30 | 1 | no | — |
| 710 | C2×D4 | — | 30 | 2 | no | — |
| 711 | C2×D4 | — | 30 | 1 | no | — |
| 712 | C22×C4 | — | 5 | 1 | no | — |
| 713 | C22×C4 | — | 10 | 1 | no | — |
| 714 | C22×C4 | — | 15 | 2 | no | — |
| 715 | C22×C4 | — | 30 | 1 | no | — |
| 716 | C22×C4 | — | 30 | 2 | no | — |
| 717 | C22×C4 | — | 30 | 2 | no | — |
| 718 | M16 | — | 10 | 1 | no | — |
| 719 | M16 | — | 10 | 1 | no | — |
| 720 | C2×C8 | — | 10 | 1 | no | — |
| 721 | C2×C8 | — | 30 | 1 | no | — |
| 722 | C2×C8 | — | 30 | 1 | no | — |
| 723 | C2×C8 | — | 30 | 1 | no | — |
| 724 | C4⋊C4 | — | 10 | 1 | no | — |
| 725 | C4⋊C4 | — | 30 | 1 | no | — |
| 726 | C22⋊C4 | — | 10 | 1 | no | — |
| 727 | C22⋊C4 | — | 30 | 1 | no | — |
| 728 | C42 | — | 10 | 1 | no | — |
| 729 | C42 | — | 30 | 1 | no | — |
| 730 | C3×C5 | #1794 | 1 | 1 | yes | characteristic, complemented, Hall |
| 731 | C22×C3 | — | 2 | 1 | no | — |
| 732 | C22×C3 | — | 5 | 1 | no | — |
| 733 | C22×C3 | — | 5 | 1 | no | — |
| 734 | C22×C3 | — | 10 | 1 | no | — |
| 735 | C22×C3 | — | 20 | 1 | no | — |
| 736 | C22×C3 | — | 40 | 1 | no | — |
| 737 | C22×C3 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 738 | C2×D3 | — | 2 | 1 | no | — |
| 739 | C2×D3 | — | 10 | 1 | no | — |
| 740 | C2×D3 | — | 10 | 2 | no | — |
| 741 | C2×D3 | — | 20 | 2 | no | — |
| 742 | C2×D3 | — | 40 | 1 | no | — |
| 743 | C2×D3 | — | 40 | 2 | no | — |
| 744 | C2×D3 | — | 40 | 2 | no | — |
| 745 | C3×C4 | — | 2 | 1 | no | — |
| 746 | C3×C4 | — | 5 | 1 | no | — |
| 747 | C3×C4 | — | 5 | 1 | no | — |
| 748 | C3×C4 | — | 10 | 1 | no | — |
| 749 | C3×C4 | — | 40 | 1 | no | — |
| 750 | C3×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 751 | C3×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 752 | Dic3 | — | 2 | 2 | no | — |
| 753 | Dic3 | — | 2 | 1 | no | — |
| 754 | Dic3 | — | 10 | 1 | no | — |
| 755 | Dic3 | — | 40 | 1 | no | — |
| 756 | C2×C5 | — | 2 | 1 | no | — |
| 757 | C2×C5 | — | 4 | 1 | no | — |
| 758 | C2×C5 | — | 12 | 1 | no | — |
| 759 | C2×C5 | #4955 | 1 | 1 | yes | characteristic |
| 760 | D5 | — | 2 | 1 | no | — |
| 761 | D5 | — | 2 | 1 | no | — |
| 762 | D5 | — | 4 | 1 | no | — |
| 763 | D5 | — | 12 | 2 | no | — |
| 764 | D5 | — | 12 | 1 | no | — |
| 765 | C23 | — | 5 | 1 | no | — |
| 766 | C23 | — | 10 | 1 | no | — |
| 767 | C23 | — | 15 | 2 | no | — |
| 768 | C23 | — | 30 | 2 | no | — |
| 769 | C23 | — | 30 | 1 | no | — |
| 770 | C23 | — | 30 | 2 | no | — |
| 771 | Q8 | — | 3 | 1 | no | — |
| 772 | Q8 | — | 5 | 1 | no | — |
| 773 | Q8 | — | 6 | 2 | no | — |
| 774 | Q8 | — | 6 | 1 | no | — |
| 775 | Q8 | — | 6 | 1 | no | — |
| 776 | Q8 | — | 10 | 1 | no | — |
| 777 | Q8 | — | 15 | 1 | no | — |
| 778 | Q8 | — | 30 | 1 | no | — |
| 779 | Q8 | — | 30 | 2 | no | — |
| 780 | Q8 | (C2×D3)⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 781 | D4 | — | 2 | 1 | no | — |
| 782 | D4 | — | 3 | 1 | no | — |
| 783 | D4 | — | 5 | 1 | no | — |
| 784 | D4 | — | 6 | 2 | no | — |
| 785 | D4 | — | 6 | 1 | no | — |
| 786 | D4 | — | 10 | 1 | no | — |
| 787 | D4 | — | 10 | 1 | no | — |
| 788 | D4 | — | 10 | 1 | no | — |
| 789 | D4 | — | 10 | 1 | no | — |
| 790 | D4 | — | 15 | 1 | no | — |
| 791 | D4 | — | 30 | 2 | no | — |
| 792 | D4 | — | 30 | 1 | no | — |
| 793 | D4 | — | 30 | 2 | no | — |
| 794 | D4 | — | 30 | 2 | no | — |
| 795 | D4 | — | 30 | 1 | no | — |
| 796 | D4 | — | 30 | 2 | no | — |
| 797 | D4 | — | 30 | 2 | no | — |
| 798 | D4 | — | 30 | 2 | no | — |
| 799 | D4 | — | 30 | 2 | no | — |
| 800 | D4 | — | 30 | 1 | no | — |
| 801 | D4 | — | 30 | 1 | no | — |
| 802 | D4 | — | 30 | 1 | no | — |
| 803 | D4 | — | 30 | 1 | no | — |
| 804 | D4 | (C2×D3)⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 805 | C2×C4 | — | 2 | 1 | no | — |
| 806 | C2×C4 | — | 3 | 2 | no | — |
| 807 | C2×C4 | — | 5 | 1 | no | — |
| 808 | C2×C4 | — | 5 | 1 | no | — |
| 809 | C2×C4 | — | 5 | 1 | no | — |
| 810 | C2×C4 | — | 5 | 1 | no | — |
| 811 | C2×C4 | — | 5 | 1 | no | — |
| 812 | C2×C4 | — | 6 | 2 | no | — |
| 813 | C2×C4 | — | 6 | 2 | no | — |
| 814 | C2×C4 | — | 6 | 1 | no | — |
| 815 | C2×C4 | — | 10 | 1 | no | — |
| 816 | C2×C4 | — | 10 | 1 | no | — |
| 817 | C2×C4 | — | 10 | 1 | no | — |
| 818 | C2×C4 | — | 10 | 1 | no | — |
| 819 | C2×C4 | — | 20 | 1 | no | — |
| 820 | C2×C4 | — | 30 | 2 | no | — |
| 821 | C2×C4 | — | 30 | 2 | no | — |
| 822 | C2×C4 | — | 30 | 2 | no | — |
| 823 | C2×C4 | — | 30 | 1 | no | — |
| 824 | C2×C4 | — | 30 | 1 | no | — |
| 825 | C2×C4 | — | 30 | 2 | no | — |
| 826 | C2×C4 | — | 30 | 2 | no | — |
| 827 | C2×C4 | — | 30 | 1 | no | — |
| 828 | C2×C4 | — | 30 | 2 | no | — |
| 829 | C2×C4 | — | 30 | 1 | no | — |
| 830 | C2×C4 | — | 60 | 1 | no | — |
| 831 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 832 | C8 | — | 20 | 1 | no | — |
| 833 | C8 | — | 60 | 1 | no | — |
| 834 | C2×C3 | — | 2 | 1 | no | — |
| 835 | C2×C3 | — | 4 | 1 | no | — |
| 836 | C2×C3 | — | 10 | 1 | no | — |
| 837 | C2×C3 | — | 10 | 1 | no | — |
| 838 | C2×C3 | — | 20 | 1 | no | — |
| 839 | C2×C3 | #65800 | 1 | 1 | yes | characteristic |
| 840 | D3 | — | 4 | 1 | no | — |
| 841 | D3 | — | 20 | 2 | no | — |
| 842 | D3 | — | 20 | 1 | no | — |
| 843 | C5 | #70413 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 844 | C22 | — | 2 | 1 | no | — |
| 845 | C22 | — | 5 | 1 | no | — |
| 846 | C22 | — | 5 | 1 | no | — |
| 847 | C22 | — | 6 | 1 | no | — |
| 848 | C22 | — | 10 | 1 | no | — |
| 849 | C22 | — | 20 | 1 | no | — |
| 850 | C22 | — | 30 | 1 | no | — |
| 851 | C22 | — | 30 | 2 | no | — |
| 852 | C22 | — | 40 | 1 | no | — |
| 853 | C22 | — | 60 | 2 | no | — |
| 854 | C22 | — | 120 | 2 | no | — |
| 855 | C22 | — | 120 | 1 | no | — |
| 856 | C22 | — | 120 | 2 | no | — |
| 857 | C22 | D3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 858 | C4 | — | 2 | 1 | no | — |
| 859 | C4 | — | 5 | 1 | no | — |
| 860 | C4 | — | 5 | 1 | no | — |
| 861 | C4 | — | 6 | 2 | no | — |
| 862 | C4 | — | 6 | 1 | no | — |
| 863 | C4 | — | 10 | 1 | no | — |
| 864 | C4 | — | 30 | 1 | no | — |
| 865 | C4 | — | 40 | 1 | no | — |
| 866 | C4 | — | 120 | 1 | no | — |
| 867 | C4 | C2×(C2×D3)⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 868 | C4 | D3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 869 | C3 | #10605020 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 870 | C2 | — | 2 | 1 | no | — |
| 871 | C2 | — | 4 | 1 | no | — |
| 872 | C2 | — | 10 | 1 | no | — |
| 873 | C2 | — | 10 | 1 | no | — |
| 874 | C2 | — | 12 | 1 | no | — |
| 875 | C2 | — | 20 | 1 | no | — |
| 876 | C2 | — | 60 | 2 | no | — |
| 877 | C2 | — | 60 | 1 | no | — |
| 878 | C2 | #11752025 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11752453 | C2 | semidirect |
| 3. C3×#65795 | C2 | semidirect |
| 4. #11751817 | C2 | semidirect |
| 5. #11751814 | C2 | semidirect |
| 6. #11751717 | C2 | semidirect |
| 7. #11751703 | C2 | semidirect |
| 9. #92100 | C4 | semidirect |
| 10. C5×#1010 | C4 | semidirect |
| 19. #92019 | C4 | semidirect |
| 25. #92000 | C4 | semidirect |
| 26. #91989 | C22 | semidirect |
| 27. C2×D5⋊(C3⋊C8) | C22 | semidirect |
| 28. C3×#4130 | C22 | semidirect |
| 29. C2×C3×#700 | C22 | semidirect |
| 43. #65795 | D3 | semidirect |
| 150. #4130 | C2×D3 | semidirect |
| 151. C2×#700 | C2×D3 | semidirect |
| 236. #1010 | AGL(1,𝔽5) | semidirect |
| 730. C3×C5 | #1794 | semidirect |
| 843. C5 | #70413 | semidirect |
| 869. C3 | #10605020 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757060 | 2 |
| #11752453 | 2 |
| C3×#65795 | 2 |
| #11751817 | 2 |
| #11751814 | 2 |
| #11751717 | 2 |
| #11751703 | 2 |
| #10605020 | 3 |
| #70413 | 5 |