Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1176 conjugacy classes of subgroups.
The subgroup lattice has 772 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#92026 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11752426 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#65767 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11751818 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751815 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11751724 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11751723 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10605012 | — | 3 | 1 | no | maximal, Hall |
| 9 | C2×D4×D15 | C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | C2×C5×#237 | C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | C2×C3×D4×D5 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#6790 | — | 2 | 1 | no | — |
| 13 | C2×D5×#67 | — | 2 | 1 | no | — |
| 14 | C22×#1202 | — | 2 | 1 | no | — |
| 15 | C2×#6779 | — | 2 | 1 | no | — |
| 16 | #92026 | — | 2 | 2 | no | — |
| 17 | #92026 | — | 2 | 2 | no | — |
| 18 | #92026 | — | 2 | 2 | no | — |
| 19 | #92026 | — | 2 | 2 | no | — |
| 20 | C2×D3×D20 | C4 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#6773 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#6771 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#6766 | C4 | 1 | 1 | yes | characteristic, complemented |
| 24 | #91989 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | D5⋊#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C3×#4130 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C3×D5⋊M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #91236 | — | 2 | 2 | no | — |
| 29 | C3×#4007 | — | 2 | 2 | no | — |
| 30 | #91175 | — | 2 | 1 | no | — |
| 31 | #91174 | — | 2 | 1 | no | — |
| 32 | #91173 | — | 2 | 1 | no | — |
| 33 | #91172 | — | 2 | 1 | no | — |
| 34 | #91158 | — | 2 | 2 | no | — |
| 35 | #91157 | — | 2 | 2 | no | — |
| 36 | #70327 | — | 5 | 1 | no | maximal, Hall |
| 37 | C2×#4149 | — | 3 | 1 | no | — |
| 38 | #65784 | — | 3 | 1 | no | — |
| 39 | #65784 | — | 3 | 1 | no | — |
| 40 | #65767 | — | 3 | 1 | no | — |
| 41 | #65767 | D3 | 1 | 1 | yes | characteristic, complemented |
| 42 | #65761 | — | 3 | 1 | no | — |
| 43 | #65745 | — | 3 | 1 | no | — |
| 44 | C23×D15 | — | 2 | 1 | no | — |
| 45 | C23×C3×D5 | — | 2 | 1 | no | — |
| 46 | C22×D3×D5 | — | 2 | 1 | no | — |
| 47 | C2×C3×C5×D4 | C2×C4 | 1 | 1 | yes | characteristic |
| 48 | C2×#1220 | — | 2 | 1 | no | — |
| 49 | D4×D15 | — | 2 | 2 | no | — |
| 50 | D4×D15 | — | 2 | 2 | no | — |
| 51 | C2×D60 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | C2×C4×D15 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | C2×C5×#67 | — | 2 | 1 | no | — |
| 54 | C22×C5×Dic3 | — | 2 | 1 | no | — |
| 55 | C5×#237 | — | 2 | 2 | no | — |
| 56 | C5×#237 | — | 2 | 2 | no | — |
| 57 | C2×C4×C5×D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C2×C5×Dic6 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | C2×C3×C22⋊D5 | — | 2 | 1 | no | — |
| 60 | C3×D4×D5 | — | 2 | 1 | no | — |
| 61 | C3×D4×D5 | — | 2 | 1 | no | — |
| 62 | C3×D4×D5 | D4 | 1 | 2 | yes | — |
| 63 | C3×D4×D5 | D4 | 1 | 2 | yes | — |
| 64 | C2×C3×D20 | C2×C4 | 1 | 1 | yes | characteristic |
| 65 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 66 | #6790 | — | 2 | 4 | no | — |
| 67 | #6790 | — | 2 | 4 | no | — |
| 68 | D5×#67 | — | 2 | 4 | no | — |
| 69 | D5×#67 | — | 2 | 4 | no | — |
| 70 | C2×#1204 | D4 | 1 | 1 | yes | characteristic |
| 71 | C2×#1203 | D4 | 1 | 1 | yes | characteristic |
| 72 | C2×#1202 | — | 2 | 4 | no | — |
| 73 | C2×#1202 | — | 2 | 4 | no | — |
| 74 | C2×#1202 | — | 2 | 1 | no | — |
| 75 | C2×#1202 | — | 2 | 1 | no | — |
| 76 | C2×#1202 | — | 2 | 1 | no | — |
| 77 | C2×#1202 | D4 | 1 | 1 | yes | characteristic |
| 78 | C2×#1201 | D4 | 1 | 1 | yes | characteristic |
| 79 | C2×#1200 | — | 2 | 1 | no | — |
| 80 | #6779 | — | 2 | 4 | no | — |
| 81 | #6779 | — | 2 | 4 | no | — |
| 82 | C2×D5×Dic3 | — | 2 | 1 | no | — |
| 83 | D3×D20 | — | 2 | 2 | no | — |
| 84 | D3×D20 | — | 2 | 2 | no | — |
| 85 | #6773 | — | 2 | 1 | no | — |
| 86 | #6773 | — | 2 | 1 | no | — |
| 87 | #6773 | D4 | 1 | 2 | yes | — |
| 88 | #6773 | D4 | 1 | 2 | yes | — |
| 89 | #6771 | — | 2 | 1 | no | — |
| 90 | #6771 | — | 2 | 1 | no | — |
| 91 | #6771 | — | 2 | 1 | no | — |
| 92 | #6771 | — | 2 | 1 | no | — |
| 93 | #6766 | — | 2 | 2 | no | — |
| 94 | #6766 | — | 2 | 2 | no | — |
| 95 | #6763 | — | 2 | 1 | no | — |
| 96 | #6762 | — | 2 | 1 | no | — |
| 97 | C4⋊ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 98 | C4×ΓL(1,𝔽16) | — | 2 | 1 | no | — |
| 99 | #6758 | — | 2 | 1 | no | — |
| 100 | D5⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 101 | C3×C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 102 | C3×#704 | — | 2 | 1 | no | — |
| 103 | C3×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 104 | C3×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 105 | C3×#700 | — | 2 | 1 | no | — |
| 106 | C3×D5⋊C8 | — | 2 | 1 | no | — |
| 107 | C2×#1004 | — | 5 | 1 | no | — |
| 108 | C3×#418 | — | 5 | 1 | no | — |
| 109 | #5215 | — | 5 | 1 | no | — |
| 110 | #5139 | — | 5 | 1 | no | — |
| 111 | #5132 | — | 5 | 1 | no | — |
| 112 | #5006 | — | 5 | 1 | no | — |
| 113 | #5005 | — | 5 | 1 | no | — |
| 114 | C2×C5×#41 | — | 3 | 1 | no | — |
| 115 | #4149 | — | 6 | 2 | no | — |
| 116 | #4149 | — | 6 | 2 | no | — |
| 117 | #4149 | — | 6 | 2 | no | — |
| 118 | #4149 | — | 6 | 2 | no | — |
| 119 | C2×#713 | — | 3 | 1 | no | — |
| 120 | C2×#713 | — | 3 | 1 | no | — |
| 121 | C2×D4×D5 | — | 3 | 1 | no | — |
| 122 | C2×D4×D5 | — | 6 | 1 | no | — |
| 123 | C2×D4×D5 | — | 6 | 1 | no | — |
| 124 | C2×D4×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 125 | C2×#709 | — | 3 | 1 | no | — |
| 126 | C2×#709 | — | 6 | 1 | no | — |
| 127 | C22×D20 | — | 3 | 1 | no | — |
| 128 | C22×D20 | — | 6 | 1 | no | — |
| 129 | #4130 | — | 3 | 1 | no | — |
| 130 | #4130 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 131 | D5⋊M16 | — | 3 | 1 | no | — |
| 132 | D5⋊M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 133 | #4013 | — | 6 | 1 | no | — |
| 134 | #4011 | — | 6 | 1 | no | — |
| 135 | #4010 | — | 6 | 2 | no | — |
| 136 | #4010 | — | 6 | 2 | no | — |
| 137 | #4007 | — | 2 | 2 | no | — |
| 138 | #4007 | — | 6 | 2 | no | — |
| 139 | #4005 | — | 6 | 1 | no | — |
| 140 | #3999 | — | 6 | 1 | no | — |
| 141 | #1795 | — | 15 | 1 | no | Sylow |
| 142 | C23×C3×C5 | — | 2 | 1 | no | — |
| 143 | C22×D15 | — | 2 | 1 | no | — |
| 144 | C22×D15 | — | 2 | 4 | no | — |
| 145 | C22×D15 | — | 8 | 2 | no | — |
| 146 | C22×D15 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 147 | C22×C5×D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 148 | C22×C3×D5 | — | 2 | 1 | no | — |
| 149 | C22×C3×D5 | — | 2 | 2 | no | — |
| 150 | C22×C3×D5 | — | 2 | 2 | no | — |
| 151 | C22×C3×D5 | — | 8 | 2 | no | — |
| 152 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 153 | C2×D3×D5 | — | 2 | 4 | no | — |
| 154 | C2×D3×D5 | — | 8 | 2 | no | — |
| 155 | C2×ΓL(1,𝔽16) | — | 4 | 1 | no | — |
| 156 | C2×C3×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 157 | C3×C5×D4 | — | 2 | 1 | no | — |
| 158 | C3×C5×D4 | C22⋊C4 | 1 | 2 | yes | — |
| 159 | C2×C3×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 160 | #1220 | — | 2 | 4 | no | — |
| 161 | C2×Dic15 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 162 | D60 | — | 2 | 1 | no | — |
| 163 | D60 | C22⋊C4 | 1 | 2 | yes | — |
| 164 | C4×D15 | — | 2 | 1 | no | — |
| 165 | C4×D15 | — | 2 | 1 | no | — |
| 166 | C5×#67 | — | 2 | 4 | no | — |
| 167 | C2×C5×Dic3 | — | 2 | 4 | no | — |
| 168 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 169 | C2×C5×Dic3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 170 | C4×C5×D3 | — | 2 | 1 | no | — |
| 171 | C4×C5×D3 | — | 2 | 1 | no | — |
| 172 | C5×Dic6 | — | 2 | 1 | no | — |
| 173 | C5×Dic6 | C22⋊C4 | 1 | 2 | yes | — |
| 174 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 175 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 176 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 177 | C3×D20 | — | 2 | 1 | no | — |
| 178 | C3×D20 | C22⋊C4 | 1 | 2 | yes | — |
| 179 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C3×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | #1204 | — | 2 | 1 | no | — |
| 184 | #1204 | — | 2 | 1 | no | — |
| 185 | #1203 | — | 2 | 1 | no | — |
| 186 | #1203 | — | 2 | 1 | no | — |
| 187 | #1202 | — | 2 | 4 | no | — |
| 188 | #1202 | — | 2 | 4 | no | — |
| 189 | #1202 | — | 2 | 1 | no | — |
| 190 | #1202 | — | 2 | 1 | no | — |
| 191 | #1202 | — | 2 | 2 | no | — |
| 192 | #1202 | — | 2 | 2 | no | — |
| 193 | #1201 | — | 2 | 1 | no | — |
| 194 | #1201 | — | 2 | 1 | no | — |
| 195 | #1200 | — | 2 | 2 | no | — |
| 196 | #1200 | — | 2 | 2 | no | — |
| 197 | D5×Dic3 | — | 2 | 4 | no | — |
| 198 | C3⋊#170 | — | 4 | 1 | no | — |
| 199 | C3×#170 | — | 4 | 1 | no | — |
| 200 | C22×C3×D4 | — | 5 | 1 | no | — |
| 201 | C22×#67 | — | 10 | 1 | no | — |
| 202 | C22×#67 | — | 10 | 1 | no | — |
| 203 | #1004 | — | 10 | 2 | no | — |
| 204 | #1004 | — | 10 | 2 | no | — |
| 205 | #1004 | — | 10 | 2 | no | — |
| 206 | #1004 | — | 10 | 2 | no | — |
| 207 | C2×#237 | — | 5 | 1 | no | — |
| 208 | C2×#237 | — | 10 | 1 | no | — |
| 209 | C2×#237 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 210 | C2×D3×D4 | — | 5 | 1 | no | — |
| 211 | C2×D3×D4 | — | 5 | 1 | no | — |
| 212 | C2×D3×D4 | — | 10 | 1 | no | — |
| 213 | C2×#235 | — | 5 | 1 | no | — |
| 214 | C2×#235 | — | 5 | 1 | no | — |
| 215 | C2×C3×M16 | — | 5 | 1 | no | — |
| 216 | C3×#117 | — | 5 | 1 | no | — |
| 217 | #926 | — | 5 | 1 | no | — |
| 218 | C2×#208 | — | 5 | 1 | no | — |
| 219 | C3×#102 | — | 10 | 2 | no | — |
| 220 | #832 | — | 10 | 2 | no | — |
| 221 | #825 | — | 10 | 2 | no | — |
| 222 | #824 | — | 10 | 1 | no | — |
| 223 | #823 | — | 10 | 1 | no | — |
| 224 | #806 | — | 10 | 1 | no | — |
| 225 | #806 | — | 10 | 1 | no | — |
| 226 | #805 | — | 10 | 2 | no | — |
| 227 | C23×D5 | — | 2 | 1 | no | — |
| 228 | C23×D5 | — | 6 | 1 | no | — |
| 229 | C23×D5 | — | 6 | 1 | no | — |
| 230 | C5×#41 | — | 6 | 2 | no | — |
| 231 | C5×#41 | — | 6 | 2 | no | — |
| 232 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 233 | C2×C5×D4 | — | 6 | 1 | no | — |
| 234 | C2×C5×D4 | C4×D3 | 1 | 1 | yes | characteristic |
| 235 | C22×C4×C5 | — | 3 | 1 | no | — |
| 236 | C22×C4×C5 | — | 6 | 1 | no | — |
| 237 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 238 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 239 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 240 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 241 | #713 | — | 3 | 2 | no | — |
| 242 | #713 | — | 3 | 2 | no | — |
| 243 | #713 | — | 6 | 2 | no | — |
| 244 | #713 | — | 6 | 2 | no | — |
| 245 | #713 | — | 6 | 1 | no | — |
| 246 | #713 | — | 6 | 1 | no | — |
| 247 | D4×D5 | — | 2 | 1 | no | — |
| 248 | D4×D5 | — | 2 | 1 | no | — |
| 249 | D4×D5 | — | 6 | 2 | no | — |
| 250 | D4×D5 | — | 6 | 4 | no | — |
| 251 | D4×D5 | — | 6 | 4 | no | — |
| 252 | D4×D5 | — | 6 | 4 | no | — |
| 253 | D4×D5 | — | 6 | 4 | no | — |
| 254 | D4×D5 | — | 6 | 2 | no | — |
| 255 | D4×D5 | D12 | 1 | 2 | yes | — |
| 256 | D4×D5 | #67 | 1 | 2 | yes | — |
| 257 | #709 | — | 6 | 4 | no | — |
| 258 | #709 | — | 6 | 4 | no | — |
| 259 | #709 | — | 6 | 1 | no | — |
| 260 | #709 | — | 6 | 1 | no | — |
| 261 | #709 | — | 6 | 1 | no | — |
| 262 | #709 | — | 6 | 1 | no | — |
| 263 | C2×D20 | — | 3 | 1 | no | — |
| 264 | C2×D20 | — | 3 | 1 | no | — |
| 265 | C2×D20 | — | 6 | 2 | no | — |
| 266 | C2×D20 | — | 6 | 1 | no | — |
| 267 | C2×D20 | — | 6 | 1 | no | — |
| 268 | C2×D20 | — | 6 | 4 | no | — |
| 269 | C2×D20 | — | 6 | 4 | no | — |
| 270 | C2×D20 | — | 6 | 1 | no | — |
| 271 | C2×D20 | — | 6 | 2 | no | — |
| 272 | C2×D20 | C4×D3 | 1 | 1 | yes | characteristic |
| 273 | C2×C4×D5 | — | 3 | 1 | no | — |
| 274 | C2×C4×D5 | — | 6 | 1 | no | — |
| 275 | C2×C4×D5 | — | 6 | 1 | no | — |
| 276 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 277 | C2×Dic10 | — | 3 | 1 | no | — |
| 278 | C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 279 | C22⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 280 | #704 | — | 2 | 1 | no | — |
| 281 | #704 | — | 6 | 1 | no | — |
| 282 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 283 | C4⋊AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 284 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 285 | C4×AGL(1,𝔽5) | — | 6 | 1 | no | — |
| 286 | #700 | — | 2 | 1 | no | — |
| 287 | #700 | — | 6 | 1 | no | — |
| 288 | D5⋊C8 | — | 2 | 1 | no | — |
| 289 | D5⋊C8 | — | 6 | 1 | no | — |
| 290 | C2×H(5,𝔽2) | — | 15 | 1 | no | — |
| 291 | #421 | — | 15 | 1 | no | — |
| 292 | #421 | — | 15 | 1 | no | — |
| 293 | #418 | — | 5 | 1 | no | — |
| 294 | #418 | — | 15 | 1 | no | — |
| 295 | #413 | — | 15 | 1 | no | — |
| 296 | #410 | — | 15 | 1 | no | — |
| 297 | C22×C3×C5 | — | 2 | 2 | no | — |
| 298 | C22×C3×C5 | — | 4 | 2 | no | — |
| 299 | C22×C3×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 300 | C2×D15 | — | 2 | 2 | no | — |
| 301 | C2×D15 | — | 2 | 1 | no | — |
| 302 | C2×D15 | — | 4 | 2 | no | — |
| 303 | C2×D15 | — | 4 | 1 | no | — |
| 304 | C2×D15 | — | 8 | 4 | no | — |
| 305 | C2×C5×D3 | — | 2 | 1 | no | — |
| 306 | C2×C5×D3 | — | 4 | 1 | no | — |
| 307 | C2×C3×D5 | — | 2 | 2 | no | — |
| 308 | C2×C3×D5 | — | 4 | 1 | no | — |
| 309 | C2×C3×D5 | — | 4 | 2 | no | — |
| 310 | C2×C3×D5 | — | 8 | 2 | no | — |
| 311 | C2×C3×D5 | — | 8 | 2 | no | — |
| 312 | C2×C3×D5 | #120 | 1 | 1 | yes | characteristic |
| 313 | C2×C3×D5 | #120 | 1 | 1 | yes | characteristic |
| 314 | D3×D5 | — | 8 | 4 | no | — |
| 315 | ΓL(1,𝔽16) | — | 8 | 1 | no | — |
| 316 | C3×AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 317 | C3×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 318 | C3×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 319 | Dic15 | — | 2 | 1 | no | — |
| 320 | C3×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 321 | C3×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 322 | C5×Dic3 | — | 2 | 2 | no | — |
| 323 | C5×Dic3 | — | 2 | 1 | no | — |
| 324 | C24×C3 | — | 10 | 1 | no | — |
| 325 | C23×D3 | — | 10 | 1 | no | — |
| 326 | C23×D3 | — | 10 | 1 | no | — |
| 327 | C2×C3×D4 | — | 5 | 2 | no | — |
| 328 | C2×C3×D4 | — | 5 | 2 | no | — |
| 329 | C2×C3×D4 | — | 5 | 1 | no | — |
| 330 | C2×C3×D4 | — | 10 | 1 | no | — |
| 331 | C2×C3×D4 | — | 10 | 1 | no | — |
| 332 | C2×C3×D4 | — | 10 | 1 | no | — |
| 333 | C2×C3×D4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 334 | C22×C3×C4 | — | 5 | 1 | no | — |
| 335 | C2×#67 | — | 2 | 1 | no | — |
| 336 | C2×#67 | — | 5 | 1 | no | — |
| 337 | C2×#67 | — | 5 | 1 | no | — |
| 338 | C2×#67 | — | 10 | 1 | no | — |
| 339 | C2×#67 | — | 10 | 1 | no | — |
| 340 | C2×#67 | — | 10 | 4 | no | — |
| 341 | C2×#67 | — | 10 | 4 | no | — |
| 342 | C2×#67 | — | 10 | 1 | no | — |
| 343 | C2×#67 | — | 10 | 4 | no | — |
| 344 | C2×#67 | — | 10 | 4 | no | — |
| 345 | C2×#67 | — | 10 | 1 | no | — |
| 346 | C22×Dic3 | — | 2 | 1 | no | — |
| 347 | C22×Dic3 | — | 10 | 1 | no | — |
| 348 | #237 | — | 2 | 2 | no | — |
| 349 | #237 | — | 2 | 2 | no | — |
| 350 | #237 | — | 10 | 2 | no | — |
| 351 | #237 | — | 10 | 4 | no | — |
| 352 | #237 | — | 10 | 4 | no | — |
| 353 | #237 | — | 10 | 2 | no | — |
| 354 | D3×D4 | — | 10 | 2 | no | — |
| 355 | D3×D4 | — | 10 | 2 | no | — |
| 356 | D3×D4 | — | 10 | 2 | no | — |
| 357 | D3×D4 | — | 10 | 4 | no | — |
| 358 | D3×D4 | — | 10 | 4 | no | — |
| 359 | D3×D4 | — | 10 | 2 | no | — |
| 360 | #235 | — | 5 | 2 | no | — |
| 361 | #235 | — | 5 | 2 | no | — |
| 362 | #235 | — | 10 | 1 | no | — |
| 363 | #235 | — | 10 | 1 | no | — |
| 364 | #235 | — | 10 | 1 | no | — |
| 365 | #235 | — | 10 | 1 | no | — |
| 366 | #235 | — | 10 | 1 | no | — |
| 367 | #235 | — | 10 | 1 | no | — |
| 368 | C2×D12 | — | 5 | 1 | no | — |
| 369 | C2×D12 | — | 5 | 1 | no | — |
| 370 | C2×C4×D3 | — | 5 | 1 | no | — |
| 371 | C2×C4×D3 | — | 10 | 1 | no | — |
| 372 | C2×C4×D3 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 373 | C2×Dic6 | — | 5 | 1 | no | — |
| 374 | C2×Dic6 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 375 | C3×M16 | — | 10 | 1 | no | — |
| 376 | C3×M16 | — | 10 | 1 | no | — |
| 377 | C2×C3×C8 | — | 10 | 1 | no | — |
| 378 | C3×C4⋊C4 | — | 10 | 1 | no | — |
| 379 | C3×C22⋊C4 | — | 10 | 1 | no | — |
| 380 | C3×C42 | — | 10 | 1 | no | — |
| 381 | #217 | — | 10 | 1 | no | — |
| 382 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 383 | C4×Dic3 | — | 10 | 1 | no | — |
| 384 | #208 | — | 10 | 1 | no | — |
| 385 | #208 | — | 10 | 1 | no | — |
| 386 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 387 | C23×C5 | — | 2 | 1 | no | — |
| 388 | C23×C5 | — | 3 | 1 | no | — |
| 389 | C22×D5 | — | 2 | 1 | no | — |
| 390 | C22×D5 | — | 2 | 2 | no | — |
| 391 | C22×D5 | — | 2 | 2 | no | — |
| 392 | C22×D5 | — | 3 | 1 | no | — |
| 393 | C22×D5 | — | 6 | 4 | no | — |
| 394 | C22×D5 | — | 6 | 1 | no | — |
| 395 | C22×D5 | — | 6 | 4 | no | — |
| 396 | C22×D5 | — | 8 | 2 | no | — |
| 397 | C22×D5 | — | 24 | 2 | no | — |
| 398 | C22×D5 | — | 24 | 2 | no | — |
| 399 | C22×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 400 | C2×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 401 | C2×AGL(1,𝔽5) | — | 12 | 1 | no | — |
| 402 | C5×Q8 | — | 3 | 2 | no | — |
| 403 | C5×Q8 | — | 6 | 1 | no | — |
| 404 | C5×D4 | — | 2 | 1 | no | — |
| 405 | C5×D4 | — | 6 | 4 | no | — |
| 406 | C5×D4 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 407 | C2×C4×C5 | — | 3 | 1 | no | — |
| 408 | C2×C4×C5 | — | 6 | 4 | no | — |
| 409 | C2×C4×C5 | — | 6 | 1 | no | — |
| 410 | C2×C4×C5 | — | 6 | 1 | no | — |
| 411 | C2×C4×C5 | — | 6 | 1 | no | — |
| 412 | C2×C4×C5 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 413 | C22⋊D5 | — | 2 | 2 | no | — |
| 414 | C22⋊D5 | — | 2 | 2 | no | — |
| 415 | C22⋊D5 | — | 6 | 4 | no | — |
| 416 | C22⋊D5 | — | 6 | 1 | no | — |
| 417 | C22⋊D5 | — | 6 | 1 | no | — |
| 418 | C22⋊D5 | — | 6 | 1 | no | — |
| 419 | C22⋊D5 | — | 6 | 1 | no | — |
| 420 | C2×Dic5 | — | 3 | 1 | no | — |
| 421 | C2×Dic5 | D3×D4 | 1 | 1 | yes | characteristic |
| 422 | D20 | — | 2 | 1 | no | — |
| 423 | D20 | — | 3 | 2 | no | — |
| 424 | D20 | — | 6 | 4 | no | — |
| 425 | D20 | — | 6 | 4 | no | — |
| 426 | D20 | — | 6 | 1 | no | — |
| 427 | D20 | — | 6 | 2 | no | — |
| 428 | D20 | — | 6 | 1 | no | — |
| 429 | D20 | — | 6 | 2 | no | — |
| 430 | D20 | — | 6 | 1 | no | — |
| 431 | D20 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 432 | C4×D5 | — | 6 | 4 | no | — |
| 433 | C4×D5 | — | 6 | 1 | no | — |
| 434 | C4×D5 | — | 6 | 1 | no | — |
| 435 | C4×D5 | — | 6 | 2 | no | — |
| 436 | C4×D5 | — | 6 | 2 | no | — |
| 437 | C4×D5 | C2×D12 | 1 | 1 | yes | characteristic |
| 438 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 439 | C4×D5 | D3×D4 | 1 | 1 | yes | characteristic |
| 440 | C4×D5 | C2×#67 | 1 | 1 | yes | characteristic |
| 441 | Dic10 | — | 6 | 1 | no | — |
| 442 | Dic10 | — | 6 | 1 | no | — |
| 443 | #170 | — | 4 | 1 | no | — |
| 444 | #170 | — | 12 | 1 | no | — |
| 445 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 446 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 447 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 448 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 449 | C2×#41 | — | 3 | 1 | no | — |
| 450 | C2×#41 | — | 15 | 1 | no | — |
| 451 | C2×#41 | — | 15 | 1 | no | — |
| 452 | C2×#41 | — | 15 | 1 | no | — |
| 453 | C2×#41 | — | 30 | 1 | no | — |
| 454 | C22×D4 | — | 5 | 1 | no | — |
| 455 | C22×D4 | — | 15 | 1 | no | — |
| 456 | C22×D4 | — | 15 | 1 | no | — |
| 457 | C22×D4 | — | 30 | 1 | no | — |
| 458 | C22×D4 | — | 30 | 1 | no | — |
| 459 | C22×D4 | — | 30 | 1 | no | — |
| 460 | C2×M16 | — | 5 | 1 | no | — |
| 461 | C2×M16 | — | 15 | 1 | no | — |
| 462 | #117 | — | 5 | 1 | no | — |
| 463 | #117 | — | 15 | 1 | no | — |
| 464 | #104 | — | 30 | 2 | no | — |
| 465 | #104 | — | 30 | 2 | no | — |
| 466 | #102 | — | 10 | 2 | no | — |
| 467 | #102 | — | 30 | 2 | no | — |
| 468 | #101 | — | 30 | 1 | no | — |
| 469 | #100 | — | 30 | 1 | no | — |
| 470 | #99 | — | 30 | 1 | no | — |
| 471 | #99 | — | 30 | 1 | no | — |
| 472 | C2×C3×C5 | — | 2 | 1 | no | — |
| 473 | C2×C3×C5 | — | 4 | 2 | no | — |
| 474 | C2×C3×C5 | #379 | 1 | 1 | yes | characteristic |
| 475 | D15 | — | 4 | 2 | no | — |
| 476 | D15 | — | 4 | 1 | no | — |
| 477 | C3×D5 | — | 2 | 1 | no | — |
| 478 | C3×D5 | — | 2 | 1 | no | — |
| 479 | C3×D5 | — | 4 | 2 | no | — |
| 480 | C5×D3 | — | 4 | 1 | no | — |
| 481 | C23×C3 | — | 2 | 1 | no | — |
| 482 | C23×C3 | — | 5 | 1 | no | — |
| 483 | C23×C3 | — | 10 | 2 | no | — |
| 484 | C23×C3 | — | 10 | 2 | no | — |
| 485 | C23×C3 | — | 10 | 1 | no | — |
| 486 | C23×C3 | — | 40 | 2 | no | — |
| 487 | C22×D3 | — | 5 | 1 | no | — |
| 488 | C22×D3 | — | 10 | 4 | no | — |
| 489 | C22×D3 | — | 10 | 1 | no | — |
| 490 | C22×D3 | — | 10 | 4 | no | — |
| 491 | C22×D3 | — | 40 | 2 | no | — |
| 492 | C22×D3 | — | 40 | 2 | no | — |
| 493 | C22×D3 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 494 | C3×D4 | — | 2 | 1 | no | — |
| 495 | C3×D4 | — | 5 | 2 | no | — |
| 496 | C3×D4 | — | 10 | 2 | no | — |
| 497 | C3×D4 | — | 10 | 2 | no | — |
| 498 | C3×D4 | — | 10 | 1 | no | — |
| 499 | C3×D4 | C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 500 | C2×C3×C4 | — | 5 | 1 | no | — |
| 501 | C2×C3×C4 | — | 5 | 1 | no | — |
| 502 | C2×C3×C4 | — | 5 | 1 | no | — |
| 503 | C2×C3×C4 | — | 5 | 1 | no | — |
| 504 | C2×C3×C4 | — | 5 | 1 | no | — |
| 505 | C2×C3×C4 | — | 20 | 1 | no | — |
| 506 | C2×C3×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 507 | #67 | — | 2 | 4 | no | — |
| 508 | #67 | — | 10 | 2 | no | — |
| 509 | #67 | — | 10 | 2 | no | — |
| 510 | #67 | — | 10 | 1 | no | — |
| 511 | #67 | — | 10 | 1 | no | — |
| 512 | #67 | — | 10 | 4 | no | — |
| 513 | #67 | — | 10 | 4 | no | — |
| 514 | #67 | — | 10 | 1 | no | — |
| 515 | #67 | — | 10 | 1 | no | — |
| 516 | #67 | — | 10 | 4 | no | — |
| 517 | C2×Dic3 | — | 2 | 4 | no | — |
| 518 | C2×Dic3 | — | 2 | 1 | no | — |
| 519 | C2×Dic3 | — | 5 | 1 | no | — |
| 520 | C2×Dic3 | — | 10 | 4 | no | — |
| 521 | C2×Dic3 | — | 20 | 1 | no | — |
| 522 | C2×Dic3 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 523 | D12 | — | 5 | 2 | no | — |
| 524 | D12 | — | 10 | 1 | no | — |
| 525 | D12 | — | 10 | 1 | no | — |
| 526 | D12 | — | 10 | 1 | no | — |
| 527 | C4×D3 | — | 2 | 1 | no | — |
| 528 | C4×D3 | — | 2 | 1 | no | — |
| 529 | C4×D3 | — | 10 | 2 | no | — |
| 530 | C4×D3 | — | 10 | 2 | no | — |
| 531 | C4×D3 | — | 10 | 1 | no | — |
| 532 | C4×D3 | — | 10 | 1 | no | — |
| 533 | Dic6 | — | 2 | 1 | no | — |
| 534 | Dic6 | — | 10 | 1 | no | — |
| 535 | Dic6 | — | 10 | 1 | no | — |
| 536 | Dic6 | C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 537 | C3×C8 | — | 20 | 1 | no | — |
| 538 | C3⋊C8 | — | 20 | 1 | no | — |
| 539 | C22×C5 | — | 2 | 2 | no | — |
| 540 | C22×C5 | — | 4 | 2 | no | — |
| 541 | C22×C5 | — | 6 | 1 | no | — |
| 542 | C22×C5 | — | 12 | 1 | no | — |
| 543 | C22×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 544 | C2×D5 | — | 2 | 2 | no | — |
| 545 | C2×D5 | — | 4 | 1 | no | — |
| 546 | C2×D5 | — | 4 | 2 | no | — |
| 547 | C2×D5 | — | 6 | 2 | no | — |
| 548 | C2×D5 | — | 6 | 1 | no | — |
| 549 | C2×D5 | — | 8 | 2 | no | — |
| 550 | C2×D5 | — | 8 | 2 | no | — |
| 551 | C2×D5 | — | 12 | 2 | no | — |
| 552 | C2×D5 | — | 12 | 1 | no | — |
| 553 | C2×D5 | — | 24 | 4 | no | — |
| 554 | C2×D5 | — | 24 | 4 | no | — |
| 555 | C2×D5 | #882 | 1 | 1 | yes | characteristic |
| 556 | C2×D5 | #937 | 1 | 1 | yes | characteristic |
| 557 | AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 558 | AGL(1,𝔽5) | — | 24 | 1 | no | — |
| 559 | C4×C5 | — | 6 | 1 | no | — |
| 560 | C4×C5 | — | 6 | 2 | no | — |
| 561 | C4×C5 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 562 | C4×C5 | C2×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 563 | Dic5 | — | 6 | 1 | no | — |
| 564 | Dic5 | #882 | 1 | 1 | yes | characteristic |
| 565 | Dic5 | #937 | 1 | 1 | yes | characteristic |
| 566 | C24 | — | 10 | 1 | no | — |
| 567 | C24 | — | 30 | 1 | no | — |
| 568 | C24 | — | 30 | 1 | no | — |
| 569 | #41 | — | 6 | 2 | no | — |
| 570 | #41 | — | 6 | 2 | no | — |
| 571 | #41 | — | 15 | 2 | no | — |
| 572 | #41 | — | 15 | 2 | no | — |
| 573 | #41 | — | 30 | 1 | no | — |
| 574 | #41 | — | 30 | 1 | no | — |
| 575 | #41 | — | 30 | 1 | no | — |
| 576 | #41 | — | 30 | 1 | no | — |
| 577 | #41 | — | 30 | 1 | no | — |
| 578 | #41 | — | 30 | 1 | no | — |
| 579 | #41 | — | 30 | 4 | no | — |
| 580 | #41 | — | 30 | 4 | no | — |
| 581 | #41 | — | 30 | 2 | no | — |
| 582 | #41 | — | 30 | 2 | no | — |
| 583 | C2×Q8 | — | 3 | 1 | no | — |
| 584 | C2×Q8 | — | 15 | 1 | no | — |
| 585 | C2×D4 | — | 5 | 2 | no | — |
| 586 | C2×D4 | — | 5 | 2 | no | — |
| 587 | C2×D4 | — | 5 | 1 | no | — |
| 588 | C2×D4 | — | 6 | 1 | no | — |
| 589 | C2×D4 | — | 10 | 1 | no | — |
| 590 | C2×D4 | — | 10 | 1 | no | — |
| 591 | C2×D4 | — | 10 | 1 | no | — |
| 592 | C2×D4 | — | 15 | 1 | no | — |
| 593 | C2×D4 | — | 15 | 1 | no | — |
| 594 | C2×D4 | — | 15 | 1 | no | — |
| 595 | C2×D4 | — | 15 | 1 | no | — |
| 596 | C2×D4 | — | 30 | 1 | no | — |
| 597 | C2×D4 | — | 30 | 2 | no | — |
| 598 | C2×D4 | — | 30 | 2 | no | — |
| 599 | C2×D4 | — | 30 | 1 | no | — |
| 600 | C2×D4 | — | 30 | 1 | no | — |
| 601 | C2×D4 | — | 30 | 4 | no | — |
| 602 | C2×D4 | — | 30 | 4 | no | — |
| 603 | C2×D4 | — | 30 | 1 | no | — |
| 604 | C2×D4 | — | 30 | 2 | no | — |
| 605 | C2×D4 | — | 30 | 4 | no | — |
| 606 | C2×D4 | — | 30 | 4 | no | — |
| 607 | C2×D4 | — | 30 | 4 | no | — |
| 608 | C2×D4 | — | 30 | 4 | no | — |
| 609 | C2×D4 | — | 30 | 2 | no | — |
| 610 | C2×D4 | D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 611 | C22×C4 | — | 3 | 1 | no | — |
| 612 | C22×C4 | — | 5 | 1 | no | — |
| 613 | C22×C4 | — | 6 | 1 | no | — |
| 614 | C22×C4 | — | 15 | 1 | no | — |
| 615 | C22×C4 | — | 30 | 1 | no | — |
| 616 | C22×C4 | — | 30 | 1 | no | — |
| 617 | M16 | — | 10 | 1 | no | — |
| 618 | M16 | — | 10 | 1 | no | — |
| 619 | M16 | — | 30 | 1 | no | — |
| 620 | M16 | — | 30 | 1 | no | — |
| 621 | C2×C8 | — | 10 | 1 | no | — |
| 622 | C2×C8 | — | 30 | 1 | no | — |
| 623 | C4⋊C4 | — | 10 | 1 | no | — |
| 624 | C4⋊C4 | — | 30 | 1 | no | — |
| 625 | C22⋊C4 | — | 10 | 1 | no | — |
| 626 | C22⋊C4 | — | 30 | 1 | no | — |
| 627 | C42 | — | 10 | 1 | no | — |
| 628 | C42 | — | 30 | 1 | no | — |
| 629 | C3×C5 | #1795 | 1 | 1 | yes | characteristic, complemented, Hall |
| 630 | C22×C3 | — | 2 | 2 | no | — |
| 631 | C22×C3 | — | 4 | 2 | no | — |
| 632 | C22×C3 | — | 5 | 1 | no | — |
| 633 | C22×C3 | — | 5 | 1 | no | — |
| 634 | C22×C3 | — | 10 | 2 | no | — |
| 635 | C22×C3 | — | 20 | 1 | no | — |
| 636 | C22×C3 | — | 20 | 2 | no | — |
| 637 | C22×C3 | — | 40 | 2 | no | — |
| 638 | C22×C3 | — | 40 | 2 | no | — |
| 639 | C22×C3 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 640 | C2×D3 | — | 2 | 1 | no | — |
| 641 | C2×D3 | — | 4 | 1 | no | — |
| 642 | C2×D3 | — | 10 | 2 | no | — |
| 643 | C2×D3 | — | 10 | 1 | no | — |
| 644 | C2×D3 | — | 20 | 2 | no | — |
| 645 | C2×D3 | — | 20 | 1 | no | — |
| 646 | C2×D3 | — | 40 | 4 | no | — |
| 647 | C2×D3 | — | 40 | 4 | no | — |
| 648 | C3×C4 | — | 5 | 1 | no | — |
| 649 | C3×C4 | — | 5 | 1 | no | — |
| 650 | C3×C4 | — | 40 | 1 | no | — |
| 651 | C3×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 652 | C3×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 653 | Dic3 | — | 2 | 2 | no | — |
| 654 | Dic3 | — | 2 | 1 | no | — |
| 655 | Dic3 | — | 10 | 1 | no | — |
| 656 | Dic3 | — | 40 | 1 | no | — |
| 657 | C2×C5 | — | 2 | 1 | no | — |
| 658 | C2×C5 | — | 4 | 2 | no | — |
| 659 | C2×C5 | — | 12 | 1 | no | — |
| 660 | C2×C5 | #4955 | 1 | 1 | yes | characteristic |
| 661 | D5 | — | 2 | 1 | no | — |
| 662 | D5 | — | 2 | 1 | no | — |
| 663 | D5 | — | 4 | 2 | no | — |
| 664 | D5 | — | 12 | 2 | no | — |
| 665 | D5 | — | 12 | 1 | no | — |
| 666 | C23 | — | 2 | 1 | no | — |
| 667 | C23 | — | 3 | 1 | no | — |
| 668 | C23 | — | 5 | 1 | no | — |
| 669 | C23 | — | 10 | 2 | no | — |
| 670 | C23 | — | 10 | 2 | no | — |
| 671 | C23 | — | 10 | 1 | no | — |
| 672 | C23 | — | 15 | 1 | no | — |
| 673 | C23 | — | 30 | 4 | no | — |
| 674 | C23 | — | 30 | 4 | no | — |
| 675 | C23 | — | 30 | 1 | no | — |
| 676 | C23 | — | 40 | 2 | no | — |
| 677 | C23 | — | 120 | 2 | no | — |
| 678 | C23 | — | 120 | 2 | no | — |
| 679 | Q8 | — | 3 | 2 | no | — |
| 680 | Q8 | — | 6 | 1 | no | — |
| 681 | Q8 | — | 30 | 1 | no | — |
| 682 | Q8 | — | 30 | 1 | no | — |
| 683 | D4 | — | 2 | 1 | no | — |
| 684 | D4 | — | 5 | 2 | no | — |
| 685 | D4 | — | 6 | 4 | no | — |
| 686 | D4 | — | 10 | 2 | no | — |
| 687 | D4 | — | 10 | 2 | no | — |
| 688 | D4 | — | 10 | 1 | no | — |
| 689 | D4 | — | 15 | 2 | no | — |
| 690 | D4 | — | 30 | 1 | no | — |
| 691 | D4 | — | 30 | 1 | no | — |
| 692 | D4 | — | 30 | 1 | no | — |
| 693 | D4 | — | 30 | 1 | no | — |
| 694 | D4 | — | 30 | 2 | no | — |
| 695 | D4 | — | 30 | 2 | no | — |
| 696 | D4 | — | 30 | 4 | no | — |
| 697 | D4 | — | 30 | 4 | no | — |
| 698 | D4 | — | 30 | 4 | no | — |
| 699 | D4 | — | 30 | 1 | no | — |
| 700 | D4 | — | 30 | 1 | no | — |
| 701 | D4 | — | 30 | 1 | no | — |
| 702 | D4 | (C2×D3)⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 703 | C2×C4 | — | 3 | 1 | no | — |
| 704 | C2×C4 | — | 5 | 1 | no | — |
| 705 | C2×C4 | — | 5 | 1 | no | — |
| 706 | C2×C4 | — | 5 | 1 | no | — |
| 707 | C2×C4 | — | 5 | 1 | no | — |
| 708 | C2×C4 | — | 5 | 1 | no | — |
| 709 | C2×C4 | — | 6 | 4 | no | — |
| 710 | C2×C4 | — | 6 | 1 | no | — |
| 711 | C2×C4 | — | 6 | 1 | no | — |
| 712 | C2×C4 | — | 6 | 1 | no | — |
| 713 | C2×C4 | — | 15 | 1 | no | — |
| 714 | C2×C4 | — | 20 | 1 | no | — |
| 715 | C2×C4 | — | 30 | 2 | no | — |
| 716 | C2×C4 | — | 30 | 2 | no | — |
| 717 | C2×C4 | — | 30 | 4 | no | — |
| 718 | C2×C4 | — | 30 | 1 | no | — |
| 719 | C2×C4 | — | 30 | 1 | no | — |
| 720 | C2×C4 | — | 60 | 1 | no | — |
| 721 | C2×C4 | C2×D3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 722 | C8 | — | 20 | 1 | no | — |
| 723 | C8 | — | 60 | 1 | no | — |
| 724 | C2×C3 | — | 2 | 1 | no | — |
| 725 | C2×C3 | — | 4 | 2 | no | — |
| 726 | C2×C3 | — | 10 | 1 | no | — |
| 727 | C2×C3 | — | 10 | 1 | no | — |
| 728 | C2×C3 | — | 20 | 2 | no | — |
| 729 | C2×C3 | #65800 | 1 | 1 | yes | characteristic |
| 730 | D3 | — | 4 | 1 | no | — |
| 731 | D3 | — | 20 | 2 | no | — |
| 732 | D3 | — | 20 | 1 | no | — |
| 733 | C5 | #70327 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 734 | C22 | — | 2 | 2 | no | — |
| 735 | C22 | — | 4 | 2 | no | — |
| 736 | C22 | — | 5 | 1 | no | — |
| 737 | C22 | — | 5 | 1 | no | — |
| 738 | C22 | — | 6 | 1 | no | — |
| 739 | C22 | — | 10 | 2 | no | — |
| 740 | C22 | — | 12 | 1 | no | — |
| 741 | C22 | — | 20 | 1 | no | — |
| 742 | C22 | — | 20 | 2 | no | — |
| 743 | C22 | — | 30 | 2 | no | — |
| 744 | C22 | — | 30 | 1 | no | — |
| 745 | C22 | — | 40 | 2 | no | — |
| 746 | C22 | — | 40 | 2 | no | — |
| 747 | C22 | — | 60 | 1 | no | — |
| 748 | C22 | — | 60 | 2 | no | — |
| 749 | C22 | — | 120 | 4 | no | — |
| 750 | C22 | — | 120 | 4 | no | — |
| 751 | C22 | D3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 752 | C4 | — | 5 | 1 | no | — |
| 753 | C4 | — | 5 | 1 | no | — |
| 754 | C4 | — | 6 | 1 | no | — |
| 755 | C4 | — | 6 | 2 | no | — |
| 756 | C4 | — | 30 | 1 | no | — |
| 757 | C4 | — | 40 | 1 | no | — |
| 758 | C4 | — | 120 | 1 | no | — |
| 759 | C4 | C2×(C2×D3)⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 760 | C4 | D3×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 761 | C3 | #10605012 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 762 | C2 | — | 2 | 1 | no | — |
| 763 | C2 | — | 4 | 2 | no | — |
| 764 | C2 | — | 10 | 1 | no | — |
| 765 | C2 | — | 10 | 1 | no | — |
| 766 | C2 | — | 12 | 1 | no | — |
| 767 | C2 | — | 20 | 2 | no | — |
| 768 | C2 | — | 60 | 2 | no | — |
| 769 | C2 | — | 60 | 1 | no | — |
| 770 | C2 | #11752025 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11752426 | C2 | semidirect |
| 3. C3×#65767 | C2 | semidirect |
| 4. #11751818 | C2 | semidirect |
| 5. #11751815 | C2 | semidirect |
| 6. #11751724 | C2 | semidirect |
| 7. #11751723 | C2 | semidirect |
| 9. C2×D4×D15 | C4 | semidirect |
| 10. C2×C5×#237 | C4 | semidirect |
| 20. C2×D3×D20 | C4 | semidirect |
| 23. C2×#6766 | C4 | semidirect |
| 24. #91989 | C22 | semidirect |
| 25. D5⋊#208 | C22 | semidirect |
| 26. C3×#4130 | C22 | semidirect |
| 27. C3×D5⋊M16 | C22 | semidirect |
| 41. #65767 | D3 | semidirect |
| 130. #4130 | C2×D3 | semidirect |
| 132. D5⋊M16 | C2×D3 | semidirect |
| 209. C2×#237 | AGL(1,𝔽5) | semidirect |
| 629. C3×C5 | #1795 | semidirect |
| 733. C5 | #70327 | semidirect |
| 761. C3 | #10605012 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92026 | 2 |
| #11752426 | 2 |
| C3×#65767 | 2 |
| #11751818 | 2 |
| #11751815 | 2 |
| #11751724 | 2 |
| #11751723 | 2 |
| #10605012 | 3 |
| #70327 | 5 |