Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1396 conjugacy classes of subgroups.
The subgroup lattice has 744 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D5×#1007 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11755224 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11754022 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #11750853 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#4753 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×D5×#101 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11749394 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11749389 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11748262 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11748259 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11748229 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10612016 | — | 3 | 1 | no | maximal, Hall |
| 13 | #92098 | C22 | 1 | 1 | yes | characteristic |
| 14 | C5×#1007 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C3×Q8×D5 | C22 | 1 | 1 | yes | characteristic |
| 16 | D5×#239 | — | 2 | 2 | no | — |
| 17 | D3×Q8×D5 | — | 2 | 2 | no | — |
| 18 | #92030 | — | 2 | 2 | no | — |
| 19 | #92029 | — | 2 | 2 | no | — |
| 20 | D5×#235 | — | 2 | 2 | no | — |
| 21 | D5×#235 | C22 | 1 | 2 | yes | — |
| 22 | C2×#6772 | C22 | 1 | 1 | yes | characteristic |
| 23 | #92004 | — | 2 | 2 | no | — |
| 24 | #92004 | C22 | 1 | 2 | yes | — |
| 25 | #91833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #91798 | C22 | 1 | 2 | yes | complemented |
| 27 | C5×#947 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C5×#908 | C22 | 1 | 2 | yes | complemented |
| 29 | C3×D5×M16 | C22 | 1 | 2 | yes | — |
| 30 | #91447 | — | 2 | 2 | no | — |
| 31 | #91410 | — | 2 | 2 | no | — |
| 32 | #91389 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #91370 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #91357 | C22 | 1 | 1 | yes | characteristic |
| 35 | #91322 | C22 | 1 | 2 | yes | complemented |
| 36 | #91304 | C22 | 1 | 2 | yes | complemented |
| 37 | #91270 | — | 2 | 2 | no | — |
| 38 | #91269 | — | 2 | 2 | no | — |
| 39 | #91260 | — | 2 | 2 | no | — |
| 40 | #91250 | — | 2 | 2 | no | — |
| 41 | C3×C5×#101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #91109 | C22 | 1 | 2 | yes | complemented |
| 43 | C5×#825 | C22 | 1 | 2 | yes | complemented |
| 44 | C3×#3968 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C3×#3956 | C22 | 1 | 2 | yes | complemented |
| 46 | #90980 | C22 | 1 | 2 | yes | complemented |
| 47 | #90978 | C22 | 1 | 2 | yes | complemented |
| 48 | #78709 | — | 5 | 1 | no | maximal, Hall |
| 49 | D5×2−1+4 | — | 3 | 1 | no | — |
| 50 | #66107 | — | 3 | 2 | no | — |
| 51 | #66009 | — | 3 | 1 | no | — |
| 52 | C5×#454 | — | 3 | 1 | no | — |
| 53 | #65535 | — | 3 | 1 | no | — |
| 54 | #65490 | — | 3 | 2 | no | — |
| 55 | #65351 | — | 3 | 1 | no | — |
| 56 | #65115 | — | 3 | 2 | no | — |
| 57 | #65110 | — | 3 | 2 | no | — |
| 58 | #65041 | — | 3 | 1 | no | — |
| 59 | D5×#101 | D3 | 1 | 1 | yes | characteristic, complemented |
| 60 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 61 | #6821 | — | 2 | 2 | no | — |
| 62 | Q8×D15 | — | 2 | 2 | no | — |
| 63 | #6817 | — | 2 | 2 | no | — |
| 64 | #6817 | C23 | 1 | 2 | yes | — |
| 65 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 66 | C5×#239 | — | 2 | 2 | no | — |
| 67 | C5×D3×Q8 | — | 2 | 2 | no | — |
| 68 | C5×#235 | — | 2 | 2 | no | — |
| 69 | C5×#235 | C23 | 1 | 2 | yes | — |
| 70 | C2×C5×D12 | C23 | 1 | 1 | yes | characteristic |
| 71 | C3×Q8×D5 | — | 2 | 2 | no | — |
| 72 | C3×Q8×D5 | — | 2 | 2 | no | — |
| 73 | C2×C3×C4×D5 | D4 | 1 | 2 | yes | — |
| 74 | C2×C3×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×C3×Dic10 | D4 | 1 | 2 | yes | — |
| 76 | C2×C3×Dic10 | C23 | 1 | 1 | yes | characteristic |
| 77 | D5×#67 | — | 2 | 2 | no | — |
| 78 | C2×#1201 | — | 2 | 1 | no | — |
| 79 | #6782 | — | 2 | 2 | no | — |
| 80 | #6782 | — | 2 | 4 | no | — |
| 81 | C2×D3×Dic5 | — | 2 | 1 | no | — |
| 82 | D5×D12 | — | 2 | 2 | no | — |
| 83 | D5×D12 | D4 | 1 | 2 | yes | — |
| 84 | C4×D3×D5 | — | 2 | 4 | no | — |
| 85 | C4×D3×D5 | — | 2 | 2 | no | — |
| 86 | #6773 | — | 2 | 2 | no | — |
| 87 | #6773 | D4 | 1 | 2 | yes | — |
| 88 | #6772 | — | 2 | 2 | no | — |
| 89 | #6772 | — | 2 | 2 | no | — |
| 90 | #6772 | — | 2 | 2 | no | — |
| 91 | #6772 | D4 | 1 | 2 | yes | — |
| 92 | #6771 | — | 2 | 4 | no | — |
| 93 | #6771 | — | 2 | 2 | no | — |
| 94 | D15⋊Q8 | — | 2 | 4 | no | — |
| 95 | D15⋊Q8 | — | 2 | 2 | no | — |
| 96 | #6769 | — | 2 | 4 | no | — |
| 97 | #6769 | — | 2 | 2 | no | — |
| 98 | #6768 | — | 2 | 4 | no | — |
| 99 | #6768 | — | 2 | 2 | no | — |
| 100 | D3×Dic10 | — | 2 | 4 | no | — |
| 101 | D3×Dic10 | — | 2 | 2 | no | — |
| 102 | D5×Dic6 | — | 2 | 2 | no | — |
| 103 | D5×Dic6 | D4 | 1 | 2 | yes | — |
| 104 | C3×C5×M16 | C23 | 1 | 2 | yes | — |
| 105 | #6712 | — | 2 | 2 | no | — |
| 106 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 107 | Dic60 | — | 2 | 2 | no | — |
| 108 | #6706 | — | 2 | 2 | no | — |
| 109 | C5×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 110 | C4×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 111 | C5×D24 | — | 2 | 2 | no | — |
| 112 | C5×#204 | — | 2 | 2 | no | — |
| 113 | C3×#681 | C23 | 1 | 2 | yes | — |
| 114 | C3×#676 | — | 2 | 2 | no | — |
| 115 | C3×C8×D5 | — | 2 | 2 | no | — |
| 116 | Dic3⋊Dic5 | — | 2 | 2 | no | — |
| 117 | #6668 | — | 2 | 1 | no | — |
| 118 | (C2×D3)⋊Dic5 | — | 2 | 2 | no | — |
| 119 | #6665 | — | 2 | 1 | no | — |
| 120 | #6663 | — | 2 | 2 | no | — |
| 121 | #6659 | — | 2 | 2 | no | — |
| 122 | #6659 | — | 2 | 2 | no | — |
| 123 | #6654 | — | 2 | 2 | no | — |
| 124 | C2×#1007 | — | 5 | 1 | no | — |
| 125 | #5816 | — | 5 | 1 | no | — |
| 126 | #5748 | — | 5 | 2 | no | — |
| 127 | C2×C3×#101 | — | 5 | 1 | no | — |
| 128 | #5139 | — | 5 | 2 | no | — |
| 129 | #4753 | — | 5 | 1 | no | — |
| 130 | #4753 | — | 5 | 2 | no | — |
| 131 | #4753 | D5 | 1 | 1 | yes | characteristic, complemented |
| 132 | #4752 | — | 5 | 1 | no | — |
| 133 | #4752 | — | 5 | 1 | no | — |
| 134 | #4752 | — | 5 | 2 | no | — |
| 135 | C5×2−1+4 | — | 3 | 1 | no | — |
| 136 | #4150 | — | 3 | 2 | no | — |
| 137 | #4150 | — | 6 | 2 | no | — |
| 138 | #4150 | — | 6 | 2 | no | — |
| 139 | D5×#41 | — | 3 | 2 | no | — |
| 140 | D5×#41 | — | 6 | 2 | no | — |
| 141 | D5×#41 | — | 6 | 2 | no | — |
| 142 | #4147 | — | 3 | 1 | no | — |
| 143 | #4147 | — | 6 | 2 | no | — |
| 144 | C2×Q8×D5 | — | 6 | 2 | no | — |
| 145 | C2×Q8×D5 | C2×D3 | 1 | 1 | yes | characteristic |
| 146 | C2×#711 | — | 3 | 1 | no | — |
| 147 | C5×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 148 | C5×#124 | — | 3 | 1 | no | — |
| 149 | #4097 | — | 3 | 2 | no | — |
| 150 | #4090 | — | 3 | 1 | no | — |
| 151 | #4082 | — | 3 | 1 | no | — |
| 152 | #4078 | — | 3 | 2 | no | — |
| 153 | #4062 | — | 6 | 2 | no | — |
| 154 | #4061 | — | 6 | 2 | no | — |
| 155 | #4058 | — | 6 | 2 | no | — |
| 156 | #4057 | — | 6 | 2 | no | — |
| 157 | #4055 | — | 3 | 2 | no | — |
| 158 | D5×M16 | C2×D3 | 1 | 2 | yes | — |
| 159 | #4029 | — | 6 | 2 | no | — |
| 160 | #4024 | — | 6 | 2 | no | — |
| 161 | #4018 | — | 3 | 1 | no | — |
| 162 | #4015 | — | 3 | 1 | no | — |
| 163 | C5×#104 | — | 3 | 2 | no | — |
| 164 | C5×#101 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 165 | #3969 | — | 3 | 2 | no | — |
| 166 | #3968 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 167 | #3957 | — | 3 | 2 | no | — |
| 168 | #3956 | C2×D3 | 1 | 2 | yes | complemented |
| 169 | #3937 | — | 3 | 2 | no | — |
| 170 | #3020 | — | 15 | 1 | no | Sylow |
| 171 | C22×C5×D3 | — | 2 | 1 | no | — |
| 172 | C22×C3×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 173 | C2×D3×D5 | — | 2 | 2 | no | — |
| 174 | C3×C5×Q8 | — | 2 | 2 | no | — |
| 175 | C2×C3×C4×C5 | C2×D4 | 1 | 2 | yes | — |
| 176 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 177 | #1220 | — | 2 | 2 | no | — |
| 178 | C2×Dic15 | — | 2 | 1 | no | — |
| 179 | C2×Dic15 | — | 2 | 1 | no | — |
| 180 | D60 | — | 2 | 2 | no | — |
| 181 | D60 | C2×D4 | 1 | 2 | yes | — |
| 182 | C4×D15 | — | 2 | 4 | no | — |
| 183 | C4×D15 | — | 2 | 2 | no | — |
| 184 | Dic30 | — | 2 | 2 | no | — |
| 185 | Dic30 | — | 2 | 2 | no | — |
| 186 | Dic30 | C2×D4 | 1 | 2 | yes | — |
| 187 | C5×#67 | — | 2 | 2 | no | — |
| 188 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 189 | C5×D12 | — | 2 | 2 | no | — |
| 190 | C5×D12 | — | 2 | 2 | no | — |
| 191 | C5×D12 | C2×D4 | 1 | 2 | yes | — |
| 192 | C4×C5×D3 | — | 2 | 4 | no | — |
| 193 | C4×C5×D3 | — | 2 | 2 | no | — |
| 194 | C5×Dic6 | — | 2 | 2 | no | — |
| 195 | C5×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 196 | C2×C3×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 197 | C2×C3×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C3×C4×D5 | — | 2 | 2 | no | — |
| 199 | C3×C4×D5 | — | 2 | 2 | no | — |
| 200 | C3×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 201 | C3×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 202 | C3×Dic10 | — | 2 | 2 | no | — |
| 203 | C3×Dic10 | — | 2 | 4 | no | — |
| 204 | #1204 | — | 2 | 4 | no | — |
| 205 | #1204 | — | 2 | 2 | no | — |
| 206 | #1203 | — | 2 | 4 | no | — |
| 207 | #1203 | — | 2 | 2 | no | — |
| 208 | #1202 | — | 2 | 2 | no | — |
| 209 | #1201 | — | 2 | 2 | no | — |
| 210 | #1201 | — | 4 | 1 | no | — |
| 211 | #1201 | — | 4 | 1 | no | — |
| 212 | #1200 | — | 2 | 4 | no | — |
| 213 | #1200 | — | 2 | 2 | no | — |
| 214 | D3×Dic5 | — | 2 | 4 | no | — |
| 215 | D3×Dic5 | — | 2 | 2 | no | — |
| 216 | D3×Dic5 | — | 4 | 2 | no | — |
| 217 | D5×Dic3 | — | 2 | 2 | no | — |
| 218 | C3×C5×C8 | — | 2 | 2 | no | — |
| 219 | C3×#168 | — | 2 | 2 | no | — |
| 220 | C22×C3×Q8 | — | 5 | 1 | no | — |
| 221 | #1007 | — | 5 | 1 | no | — |
| 222 | #1007 | — | 5 | 2 | no | — |
| 223 | #1007 | — | 10 | 2 | no | — |
| 224 | #1007 | — | 10 | 2 | no | — |
| 225 | #1007 | — | 10 | 2 | no | — |
| 226 | #1007 | C2×D5 | 1 | 1 | yes | characteristic |
| 227 | C2×#239 | — | 10 | 2 | no | — |
| 228 | C2×D3×Q8 | — | 10 | 2 | no | — |
| 229 | C2×#235 | — | 5 | 2 | no | — |
| 230 | C2×#235 | — | 5 | 1 | no | — |
| 231 | C2×#235 | — | 10 | 2 | no | — |
| 232 | C2×C3×M16 | — | 5 | 2 | no | — |
| 233 | #947 | — | 5 | 1 | no | — |
| 234 | #947 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 235 | #946 | — | 10 | 2 | no | — |
| 236 | #944 | — | 5 | 1 | no | — |
| 237 | #944 | — | 5 | 1 | no | — |
| 238 | #929 | — | 10 | 2 | no | — |
| 239 | #926 | — | 5 | 1 | no | — |
| 240 | #909 | — | 5 | 2 | no | — |
| 241 | #909 | — | 5 | 2 | no | — |
| 242 | #909 | — | 10 | 2 | no | — |
| 243 | #908 | — | 5 | 2 | no | — |
| 244 | #908 | — | 10 | 2 | no | — |
| 245 | #908 | C2×D5 | 1 | 2 | yes | complemented |
| 246 | #904 | — | 10 | 2 | no | — |
| 247 | #904 | — | 10 | 2 | no | — |
| 248 | C3×#101 | — | 5 | 1 | no | — |
| 249 | C3×#101 | — | 5 | 2 | no | — |
| 250 | C3×#101 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 251 | #825 | — | 5 | 2 | no | — |
| 252 | #825 | — | 5 | 2 | no | — |
| 253 | #825 | — | 5 | 2 | no | — |
| 254 | #825 | C2×D5 | 1 | 2 | yes | complemented |
| 255 | C5×#41 | — | 3 | 2 | no | — |
| 256 | C5×#41 | — | 6 | 2 | no | — |
| 257 | C5×#41 | — | 6 | 2 | no | — |
| 258 | C2×C5×Q8 | — | 6 | 2 | no | — |
| 259 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 260 | C2×C5×D4 | — | 3 | 1 | no | — |
| 261 | C2×C22⋊D5 | — | 6 | 1 | no | — |
| 262 | C22×Dic5 | — | 6 | 1 | no | — |
| 263 | #713 | — | 3 | 2 | no | — |
| 264 | #713 | — | 6 | 2 | no | — |
| 265 | #713 | — | 6 | 2 | no | — |
| 266 | Q8×D5 | — | 2 | 2 | no | — |
| 267 | Q8×D5 | — | 2 | 2 | no | — |
| 268 | Q8×D5 | — | 3 | 2 | no | — |
| 269 | Q8×D5 | — | 6 | 2 | no | — |
| 270 | Q8×D5 | — | 6 | 4 | no | — |
| 271 | Q8×D5 | — | 6 | 2 | no | — |
| 272 | Q8×D5 | — | 6 | 2 | no | — |
| 273 | #711 | — | 3 | 2 | no | — |
| 274 | #711 | — | 6 | 2 | no | — |
| 275 | #711 | — | 6 | 4 | no | — |
| 276 | #711 | — | 6 | 2 | no | — |
| 277 | #711 | — | 6 | 2 | no | — |
| 278 | #711 | — | 6 | 4 | no | — |
| 279 | #711 | — | 6 | 2 | no | — |
| 280 | #711 | — | 6 | 2 | no | — |
| 281 | D4×D5 | — | 3 | 2 | no | — |
| 282 | D4×D5 | — | 6 | 2 | no | — |
| 283 | D4×D5 | — | 6 | 2 | no | — |
| 284 | #709 | — | 3 | 2 | no | — |
| 285 | #709 | — | 6 | 2 | no | — |
| 286 | #709 | — | 6 | 4 | no | — |
| 287 | #709 | — | 6 | 4 | no | — |
| 288 | #709 | — | 6 | 2 | no | — |
| 289 | #709 | — | 6 | 2 | no | — |
| 290 | C2×C4×D5 | — | 6 | 4 | no | — |
| 291 | C2×C4×D5 | — | 6 | 2 | no | — |
| 292 | C2×C4×D5 | D12 | 1 | 2 | yes | — |
| 293 | C2×C4×D5 | C22×D3 | 1 | 1 | yes | characteristic |
| 294 | C2×Dic10 | — | 3 | 1 | no | — |
| 295 | C2×Dic10 | — | 6 | 2 | no | — |
| 296 | C2×Dic10 | — | 6 | 4 | no | — |
| 297 | C2×Dic10 | D12 | 1 | 2 | yes | — |
| 298 | C2×Dic10 | C22×D3 | 1 | 1 | yes | characteristic |
| 299 | C5×SD16 | — | 6 | 2 | no | — |
| 300 | C5×D8 | — | 6 | 2 | no | — |
| 301 | C5×M16 | C22×D3 | 1 | 2 | yes | — |
| 302 | C5×C22⋊C4 | — | 6 | 2 | no | — |
| 303 | C42×C5 | — | 3 | 1 | no | — |
| 304 | C22⋊Dic5 | — | 6 | 2 | no | — |
| 305 | #689 | — | 6 | 2 | no | — |
| 306 | #687 | — | 6 | 2 | no | — |
| 307 | #687 | — | 6 | 2 | no | — |
| 308 | #686 | — | 6 | 2 | no | — |
| 309 | #685 | — | 6 | 1 | no | — |
| 310 | C4⋊Dic5 | — | 6 | 2 | no | — |
| 311 | #683 | — | 6 | 2 | no | — |
| 312 | #683 | — | 6 | 1 | no | — |
| 313 | C4×Dic5 | — | 3 | 1 | no | — |
| 314 | #681 | C22×D3 | 1 | 2 | yes | — |
| 315 | Dic20 | — | 6 | 2 | no | — |
| 316 | #677 | — | 6 | 2 | no | — |
| 317 | #676 | — | 2 | 2 | no | — |
| 318 | C8×D5 | — | 2 | 2 | no | — |
| 319 | C2×2−1+4 | — | 15 | 1 | no | — |
| 320 | #575 | — | 15 | 2 | no | — |
| 321 | #536 | — | 15 | 1 | no | — |
| 322 | #456 | — | 15 | 2 | no | — |
| 323 | #456 | — | 15 | 1 | no | — |
| 324 | #456 | — | 15 | 1 | no | — |
| 325 | #454 | — | 3 | 1 | no | — |
| 326 | #454 | — | 15 | 1 | no | — |
| 327 | #454 | — | 15 | 2 | no | — |
| 328 | #421 | — | 15 | 2 | no | — |
| 329 | C2×#101 | — | 5 | 1 | no | — |
| 330 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 331 | C2×D15 | — | 2 | 2 | no | — |
| 332 | C2×C5×D3 | — | 2 | 2 | no | — |
| 333 | C2×C5×D3 | — | 4 | 2 | no | — |
| 334 | C2×C5×D3 | — | 4 | 1 | no | — |
| 335 | C2×C3×D5 | — | 4 | 1 | no | — |
| 336 | C2×C3×D5 | #120 | 1 | 1 | yes | characteristic |
| 337 | C2×C3×D5 | #120 | 1 | 1 | yes | characteristic |
| 338 | D3×D5 | — | 4 | 4 | no | — |
| 339 | C3×C4×C5 | — | 2 | 2 | no | — |
| 340 | C3×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 341 | Dic15 | — | 2 | 2 | no | — |
| 342 | Dic15 | — | 4 | 1 | no | — |
| 343 | Dic15 | — | 4 | 1 | no | — |
| 344 | C3×Dic5 | — | 2 | 2 | no | — |
| 345 | C3×Dic5 | #120 | 1 | 2 | yes | — |
| 346 | C5×Dic3 | — | 2 | 2 | no | — |
| 347 | C5×Dic3 | — | 4 | 1 | no | — |
| 348 | C2×C3×Q8 | — | 5 | 2 | no | — |
| 349 | C2×C3×Q8 | — | 5 | 1 | no | — |
| 350 | C2×C3×Q8 | — | 10 | 2 | no | — |
| 351 | C2×C3×Q8 | — | 10 | 2 | no | — |
| 352 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 353 | C22×C3×C4 | — | 5 | 1 | no | — |
| 354 | C22×C3×C4 | — | 5 | 2 | no | — |
| 355 | C2×#67 | — | 10 | 2 | no | — |
| 356 | C2×#67 | — | 10 | 1 | no | — |
| 357 | #239 | — | 2 | 2 | no | — |
| 358 | #239 | — | 10 | 2 | no | — |
| 359 | #239 | — | 10 | 4 | no | — |
| 360 | #239 | — | 10 | 4 | no | — |
| 361 | #239 | — | 10 | 2 | no | — |
| 362 | #239 | — | 10 | 2 | no | — |
| 363 | D3×Q8 | — | 2 | 2 | no | — |
| 364 | D3×Q8 | — | 10 | 4 | no | — |
| 365 | D3×Q8 | — | 10 | 2 | no | — |
| 366 | D3×Q8 | — | 10 | 2 | no | — |
| 367 | D3×Q8 | — | 10 | 4 | no | — |
| 368 | D3×Q8 | — | 10 | 2 | no | — |
| 369 | #235 | — | 2 | 2 | no | — |
| 370 | #235 | — | 5 | 2 | no | — |
| 371 | #235 | — | 5 | 2 | no | — |
| 372 | #235 | — | 5 | 2 | no | — |
| 373 | #235 | — | 10 | 2 | no | — |
| 374 | #235 | — | 10 | 2 | no | — |
| 375 | #235 | — | 10 | 4 | no | — |
| 376 | #235 | — | 10 | 2 | no | — |
| 377 | #235 | — | 10 | 2 | no | — |
| 378 | #235 | — | 10 | 4 | no | — |
| 379 | #235 | — | 10 | 2 | no | — |
| 380 | #235 | — | 10 | 2 | no | — |
| 381 | #235 | — | 10 | 2 | no | — |
| 382 | #235 | C22×D5 | 1 | 2 | yes | — |
| 383 | C2×D12 | — | 5 | 2 | no | — |
| 384 | C2×D12 | — | 10 | 2 | no | — |
| 385 | C2×D12 | C22×D5 | 1 | 1 | yes | characteristic |
| 386 | C2×C4×D3 | — | 10 | 2 | no | — |
| 387 | C2×C4×D3 | — | 10 | 4 | no | — |
| 388 | C2×C4×D3 | — | 10 | 1 | no | — |
| 389 | C2×Dic6 | — | 5 | 2 | no | — |
| 390 | C2×Dic6 | — | 5 | 1 | no | — |
| 391 | C2×Dic6 | — | 10 | 2 | no | — |
| 392 | C3×M16 | — | 5 | 2 | no | — |
| 393 | C3×M16 | — | 10 | 2 | no | — |
| 394 | C3×M16 | C22×D5 | 1 | 2 | yes | — |
| 395 | C2×C3×C8 | — | 10 | 2 | no | — |
| 396 | #217 | — | 10 | 1 | no | — |
| 397 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 398 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 399 | C4⋊Dic3 | — | 10 | 1 | no | — |
| 400 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 401 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 402 | C4×Dic3 | — | 5 | 1 | no | — |
| 403 | C4×Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 404 | Dic12 | — | 10 | 2 | no | — |
| 405 | Dic12 | — | 10 | 2 | no | — |
| 406 | D24 | — | 2 | 2 | no | — |
| 407 | D24 | — | 10 | 2 | no | — |
| 408 | #204 | — | 2 | 2 | no | — |
| 409 | #204 | — | 10 | 2 | no | — |
| 410 | #204 | — | 10 | 2 | no | — |
| 411 | #204 | — | 10 | 2 | no | — |
| 412 | C23×C5 | — | 6 | 1 | no | — |
| 413 | C22×D5 | — | 6 | 2 | no | — |
| 414 | C22×D5 | C2×D12 | 1 | 1 | yes | characteristic |
| 415 | C5×Q8 | — | 2 | 2 | no | — |
| 416 | C5×Q8 | — | 3 | 2 | no | — |
| 417 | C5×Q8 | — | 6 | 2 | no | — |
| 418 | C5×D4 | — | 3 | 2 | no | — |
| 419 | C5×D4 | — | 6 | 2 | no | — |
| 420 | C5×D4 | — | 6 | 2 | no | — |
| 421 | C5×D4 | — | 6 | 2 | no | — |
| 422 | C2×C4×C5 | — | 6 | 4 | no | — |
| 423 | C2×C4×C5 | — | 6 | 2 | no | — |
| 424 | C2×C4×C5 | — | 6 | 1 | no | — |
| 425 | C2×C4×C5 | C2×D12 | 1 | 2 | yes | — |
| 426 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 427 | C22⋊D5 | — | 6 | 4 | no | — |
| 428 | C22⋊D5 | — | 6 | 2 | no | — |
| 429 | C22⋊D5 | — | 6 | 2 | no | — |
| 430 | C22⋊D5 | — | 6 | 2 | no | — |
| 431 | C22⋊D5 | — | 12 | 1 | no | — |
| 432 | C22⋊D5 | — | 12 | 1 | no | — |
| 433 | C2×Dic5 | — | 6 | 4 | no | — |
| 434 | C2×Dic5 | — | 6 | 2 | no | — |
| 435 | C2×Dic5 | — | 6 | 1 | no | — |
| 436 | C2×Dic5 | — | 6 | 1 | no | — |
| 437 | C2×Dic5 | — | 12 | 2 | no | — |
| 438 | C2×Dic5 | C2×D12 | 1 | 2 | yes | — |
| 439 | C2×Dic5 | C2×D12 | 1 | 1 | yes | characteristic |
| 440 | D20 | — | 3 | 2 | no | — |
| 441 | D20 | — | 6 | 2 | no | — |
| 442 | D20 | — | 6 | 2 | no | — |
| 443 | C4×D5 | — | 2 | 2 | no | — |
| 444 | C4×D5 | — | 2 | 2 | no | — |
| 445 | C4×D5 | — | 6 | 4 | no | — |
| 446 | C4×D5 | — | 6 | 4 | no | — |
| 447 | C4×D5 | — | 6 | 2 | no | — |
| 448 | C4×D5 | — | 6 | 2 | no | — |
| 449 | C4×D5 | — | 6 | 2 | no | — |
| 450 | C4×D5 | D3×D4 | 1 | 2 | yes | — |
| 451 | C4×D5 | D3×D4 | 1 | 2 | yes | — |
| 452 | Dic10 | — | 2 | 2 | no | — |
| 453 | Dic10 | — | 2 | 4 | no | — |
| 454 | Dic10 | — | 3 | 2 | no | — |
| 455 | Dic10 | — | 6 | 4 | no | — |
| 456 | Dic10 | — | 6 | 2 | no | — |
| 457 | Dic10 | — | 6 | 2 | no | — |
| 458 | Dic10 | — | 6 | 2 | no | — |
| 459 | C5×C8 | — | 2 | 2 | no | — |
| 460 | #168 | — | 2 | 2 | no | — |
| 461 | 2−1+4 | — | 3 | 1 | no | — |
| 462 | 2−1+4 | — | 15 | 2 | no | — |
| 463 | 2−1+4 | — | 15 | 1 | no | — |
| 464 | 2−1+4 | — | 30 | 2 | no | — |
| 465 | 2−1+4 | — | 30 | 2 | no | — |
| 466 | 2−1+4 | — | 30 | 2 | no | — |
| 467 | C2×#41 | — | 15 | 1 | no | — |
| 468 | C2×#41 | — | 15 | 2 | no | — |
| 469 | C2×#41 | — | 30 | 2 | no | — |
| 470 | C2×#41 | — | 30 | 2 | no | — |
| 471 | C22×Q8 | — | 5 | 1 | no | — |
| 472 | C22×Q8 | — | 30 | 2 | no | — |
| 473 | #137 | — | 15 | 2 | no | — |
| 474 | #137 | — | 15 | 2 | no | — |
| 475 | #137 | — | 30 | 2 | no | — |
| 476 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 477 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 478 | AGL(1,ℤ/8) | — | 30 | 2 | no | — |
| 479 | #135 | — | 30 | 2 | no | — |
| 480 | #135 | — | 30 | 2 | no | — |
| 481 | C2×M16 | — | 5 | 2 | no | — |
| 482 | C4⋊Q8 | — | 15 | 1 | no | — |
| 483 | C4⋊Q8 | — | 15 | 1 | no | — |
| 484 | #124 | — | 3 | 1 | no | — |
| 485 | #124 | — | 15 | 1 | no | — |
| 486 | #123 | — | 30 | 2 | no | — |
| 487 | C22⋊Q8 | — | 30 | 2 | no | — |
| 488 | #117 | — | 15 | 1 | no | — |
| 489 | #104 | — | 3 | 2 | no | — |
| 490 | #104 | — | 15 | 2 | no | — |
| 491 | #104 | — | 15 | 2 | no | — |
| 492 | #104 | — | 15 | 2 | no | — |
| 493 | #101 | — | 5 | 1 | no | — |
| 494 | #101 | — | 5 | 2 | no | — |
| 495 | #101 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 496 | C2×C3×C5 | — | 2 | 1 | no | — |
| 497 | C2×C3×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 498 | D15 | — | 4 | 2 | no | — |
| 499 | C3×D5 | — | 2 | 1 | no | — |
| 500 | C3×D5 | — | 2 | 1 | no | — |
| 501 | C5×D3 | — | 4 | 2 | no | — |
| 502 | C5×D3 | — | 8 | 1 | no | — |
| 503 | C23×C3 | — | 5 | 1 | no | — |
| 504 | C22×D3 | — | 2 | 1 | no | — |
| 505 | C22×D3 | — | 10 | 2 | no | — |
| 506 | C3×Q8 | — | 2 | 2 | no | — |
| 507 | C3×Q8 | — | 10 | 4 | no | — |
| 508 | C3×Q8 | — | 10 | 2 | no | — |
| 509 | C2×C3×C4 | — | 5 | 1 | no | — |
| 510 | C2×C3×C4 | — | 5 | 2 | no | — |
| 511 | C2×C3×C4 | — | 5 | 2 | no | — |
| 512 | C2×C3×C4 | — | 5 | 2 | no | — |
| 513 | C2×C3×C4 | — | 10 | 2 | no | — |
| 514 | C2×C3×C4 | — | 10 | 2 | no | — |
| 515 | C2×C3×C4 | D4×D5 | 1 | 2 | yes | — |
| 516 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 517 | #67 | — | 2 | 2 | no | — |
| 518 | #67 | — | 10 | 2 | no | — |
| 519 | #67 | — | 10 | 2 | no | — |
| 520 | #67 | — | 10 | 2 | no | — |
| 521 | #67 | — | 20 | 1 | no | — |
| 522 | #67 | — | 20 | 1 | no | — |
| 523 | C2×Dic3 | — | 2 | 1 | no | — |
| 524 | C2×Dic3 | — | 10 | 2 | no | — |
| 525 | C2×Dic3 | — | 10 | 1 | no | — |
| 526 | C2×Dic3 | — | 10 | 1 | no | — |
| 527 | D12 | — | 2 | 2 | no | — |
| 528 | D12 | — | 2 | 2 | no | — |
| 529 | D12 | — | 5 | 2 | no | — |
| 530 | D12 | — | 10 | 2 | no | — |
| 531 | D12 | — | 10 | 2 | no | — |
| 532 | D12 | — | 10 | 4 | no | — |
| 533 | D12 | D4×D5 | 1 | 2 | yes | — |
| 534 | C4×D3 | — | 2 | 4 | no | — |
| 535 | C4×D3 | — | 2 | 2 | no | — |
| 536 | C4×D3 | — | 10 | 2 | no | — |
| 537 | C4×D3 | — | 10 | 4 | no | — |
| 538 | C4×D3 | — | 10 | 4 | no | — |
| 539 | C4×D3 | — | 10 | 2 | no | — |
| 540 | C4×D3 | — | 10 | 4 | no | — |
| 541 | C4×D3 | — | 10 | 2 | no | — |
| 542 | C4×D3 | — | 20 | 2 | no | — |
| 543 | Dic6 | — | 2 | 2 | no | — |
| 544 | Dic6 | — | 5 | 2 | no | — |
| 545 | Dic6 | — | 10 | 2 | no | — |
| 546 | Dic6 | — | 10 | 4 | no | — |
| 547 | Dic6 | — | 10 | 2 | no | — |
| 548 | Dic6 | — | 10 | 2 | no | — |
| 549 | Dic6 | D4×D5 | 1 | 2 | yes | — |
| 550 | C3×C8 | — | 2 | 2 | no | — |
| 551 | C3×C8 | — | 10 | 2 | no | — |
| 552 | C22×C5 | — | 6 | 2 | no | — |
| 553 | C22×C5 | — | 12 | 2 | no | — |
| 554 | C22×C5 | — | 12 | 1 | no | — |
| 555 | C22×C5 | C22×D12 | 1 | 1 | yes | characteristic |
| 556 | C2×D5 | — | 4 | 1 | no | — |
| 557 | C2×D5 | — | 6 | 2 | no | — |
| 558 | C2×D5 | — | 12 | 4 | no | — |
| 559 | C2×D5 | #882 | 1 | 1 | yes | characteristic |
| 560 | C2×D5 | #882 | 1 | 1 | yes | characteristic |
| 561 | C4×C5 | — | 2 | 2 | no | — |
| 562 | C4×C5 | — | 6 | 2 | no | — |
| 563 | C4×C5 | — | 12 | 1 | no | — |
| 564 | C4×C5 | C2×D3×D4 | 1 | 2 | yes | — |
| 565 | Dic5 | — | 2 | 2 | no | — |
| 566 | Dic5 | — | 6 | 2 | no | — |
| 567 | Dic5 | — | 12 | 1 | no | — |
| 568 | Dic5 | — | 12 | 1 | no | — |
| 569 | Dic5 | #882 | 1 | 2 | yes | — |
| 570 | #41 | — | 3 | 2 | no | — |
| 571 | #41 | — | 6 | 2 | no | — |
| 572 | #41 | — | 6 | 2 | no | — |
| 573 | #41 | — | 15 | 2 | no | — |
| 574 | #41 | — | 15 | 2 | no | — |
| 575 | #41 | — | 15 | 2 | no | — |
| 576 | #41 | — | 30 | 2 | no | — |
| 577 | #41 | — | 30 | 2 | no | — |
| 578 | #41 | — | 30 | 4 | no | — |
| 579 | #41 | — | 30 | 2 | no | — |
| 580 | #41 | — | 30 | 2 | no | — |
| 581 | #41 | — | 30 | 4 | no | — |
| 582 | #41 | — | 30 | 2 | no | — |
| 583 | #41 | — | 30 | 4 | no | — |
| 584 | #41 | — | 30 | 2 | no | — |
| 585 | #41 | — | 30 | 2 | no | — |
| 586 | #41 | — | 30 | 2 | no | — |
| 587 | #41 | — | 30 | 4 | no | — |
| 588 | #41 | — | 30 | 2 | no | — |
| 589 | #41 | — | 30 | 2 | no | — |
| 590 | C2×Q8 | — | 5 | 2 | no | — |
| 591 | C2×Q8 | — | 5 | 1 | no | — |
| 592 | C2×Q8 | — | 6 | 2 | no | — |
| 593 | C2×Q8 | — | 10 | 2 | no | — |
| 594 | C2×Q8 | — | 10 | 2 | no | — |
| 595 | C2×Q8 | — | 15 | 2 | no | — |
| 596 | C2×Q8 | — | 15 | 1 | no | — |
| 597 | C2×Q8 | — | 30 | 2 | no | — |
| 598 | C2×Q8 | — | 30 | 4 | no | — |
| 599 | C2×Q8 | — | 30 | 2 | no | — |
| 600 | C2×Q8 | — | 30 | 2 | no | — |
| 601 | C2×Q8 | — | 30 | 2 | no | — |
| 602 | C2×Q8 | — | 30 | 4 | no | — |
| 603 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 604 | C2×D4 | — | 3 | 1 | no | — |
| 605 | C2×D4 | — | 15 | 2 | no | — |
| 606 | C2×D4 | — | 30 | 2 | no | — |
| 607 | C2×D4 | — | 30 | 2 | no | — |
| 608 | C2×D4 | — | 30 | 1 | no | — |
| 609 | C22×C4 | — | 5 | 1 | no | — |
| 610 | C22×C4 | — | 5 | 2 | no | — |
| 611 | C22×C4 | — | 30 | 2 | no | — |
| 612 | C22×C4 | — | 30 | 1 | no | — |
| 613 | C22×C4 | — | 30 | 4 | no | — |
| 614 | Q16 | — | 30 | 2 | no | — |
| 615 | Q16 | — | 30 | 2 | no | — |
| 616 | SD16 | — | 6 | 2 | no | — |
| 617 | SD16 | — | 30 | 2 | no | — |
| 618 | SD16 | — | 30 | 2 | no | — |
| 619 | SD16 | — | 30 | 2 | no | — |
| 620 | D8 | — | 6 | 2 | no | — |
| 621 | D8 | — | 30 | 2 | no | — |
| 622 | M16 | — | 5 | 2 | no | — |
| 623 | M16 | — | 10 | 2 | no | — |
| 624 | M16 | C2×D3×D5 | 1 | 2 | yes | — |
| 625 | C2×C8 | — | 10 | 2 | no | — |
| 626 | C4⋊C4 | — | 30 | 1 | no | — |
| 627 | C4⋊C4 | — | 30 | 2 | no | — |
| 628 | C4⋊C4 | — | 30 | 2 | no | — |
| 629 | C22⋊C4 | — | 6 | 2 | no | — |
| 630 | C22⋊C4 | — | 30 | 2 | no | — |
| 631 | C22⋊C4 | — | 30 | 1 | no | — |
| 632 | C42 | — | 3 | 1 | no | — |
| 633 | C42 | — | 15 | 1 | no | — |
| 634 | C3×C5 | #3020 | 1 | 1 | yes | characteristic, complemented, Hall |
| 635 | C22×C3 | — | 5 | 1 | no | — |
| 636 | C22×C3 | — | 5 | 1 | no | — |
| 637 | C22×C3 | — | 20 | 1 | no | — |
| 638 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 639 | C2×D3 | — | 2 | 2 | no | — |
| 640 | C2×D3 | — | 4 | 2 | no | — |
| 641 | C2×D3 | — | 4 | 1 | no | — |
| 642 | C2×D3 | — | 10 | 2 | no | — |
| 643 | C2×D3 | — | 20 | 4 | no | — |
| 644 | C3×C4 | — | 2 | 2 | no | — |
| 645 | C3×C4 | — | 5 | 2 | no | — |
| 646 | C3×C4 | — | 10 | 2 | no | — |
| 647 | C3×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 648 | Dic3 | — | 2 | 2 | no | — |
| 649 | Dic3 | — | 4 | 1 | no | — |
| 650 | Dic3 | — | 10 | 2 | no | — |
| 651 | Dic3 | — | 20 | 1 | no | — |
| 652 | Dic3 | — | 20 | 1 | no | — |
| 653 | C2×C5 | — | 2 | 1 | no | — |
| 654 | C2×C5 | — | 12 | 2 | no | — |
| 655 | C2×C5 | — | 24 | 1 | no | — |
| 656 | C2×C5 | C2×#882 | 1 | 1 | yes | characteristic |
| 657 | D5 | — | 2 | 1 | no | — |
| 658 | D5 | — | 2 | 1 | no | — |
| 659 | D5 | — | 12 | 2 | no | — |
| 660 | C23 | — | 5 | 1 | no | — |
| 661 | C23 | — | 6 | 1 | no | — |
| 662 | C23 | — | 30 | 2 | no | — |
| 663 | Q8 | — | 2 | 2 | no | — |
| 664 | Q8 | — | 3 | 2 | no | — |
| 665 | Q8 | — | 6 | 2 | no | — |
| 666 | Q8 | — | 10 | 4 | no | — |
| 667 | Q8 | — | 10 | 2 | no | — |
| 668 | Q8 | — | 15 | 2 | no | — |
| 669 | Q8 | — | 30 | 2 | no | — |
| 670 | Q8 | — | 30 | 2 | no | — |
| 671 | Q8 | — | 30 | 4 | no | — |
| 672 | Q8 | — | 30 | 2 | no | — |
| 673 | D4 | — | 3 | 2 | no | — |
| 674 | D4 | — | 6 | 2 | no | — |
| 675 | D4 | — | 6 | 2 | no | — |
| 676 | D4 | — | 6 | 2 | no | — |
| 677 | D4 | — | 15 | 2 | no | — |
| 678 | D4 | — | 30 | 2 | no | — |
| 679 | D4 | — | 30 | 2 | no | — |
| 680 | D4 | — | 30 | 2 | no | — |
| 681 | D4 | — | 30 | 4 | no | — |
| 682 | D4 | — | 30 | 2 | no | — |
| 683 | D4 | — | 30 | 2 | no | — |
| 684 | D4 | — | 60 | 1 | no | — |
| 685 | D4 | — | 60 | 1 | no | — |
| 686 | C2×C4 | — | 5 | 1 | no | — |
| 687 | C2×C4 | — | 5 | 2 | no | — |
| 688 | C2×C4 | — | 5 | 2 | no | — |
| 689 | C2×C4 | — | 5 | 2 | no | — |
| 690 | C2×C4 | — | 6 | 4 | no | — |
| 691 | C2×C4 | — | 6 | 2 | no | — |
| 692 | C2×C4 | — | 6 | 1 | no | — |
| 693 | C2×C4 | — | 10 | 2 | no | — |
| 694 | C2×C4 | — | 10 | 2 | no | — |
| 695 | C2×C4 | — | 30 | 4 | no | — |
| 696 | C2×C4 | — | 30 | 2 | no | — |
| 697 | C2×C4 | — | 30 | 2 | no | — |
| 698 | C2×C4 | — | 30 | 4 | no | — |
| 699 | C2×C4 | — | 30 | 2 | no | — |
| 700 | C2×C4 | — | 30 | 4 | no | — |
| 701 | C2×C4 | — | 30 | 2 | no | — |
| 702 | C2×C4 | — | 30 | 1 | no | — |
| 703 | C2×C4 | — | 30 | 1 | no | — |
| 704 | C2×C4 | — | 60 | 2 | no | — |
| 705 | C2×C4 | D5×D12 | 1 | 2 | yes | — |
| 706 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 707 | C8 | — | 2 | 2 | no | — |
| 708 | C8 | — | 10 | 2 | no | — |
| 709 | C2×C3 | — | 2 | 1 | no | — |
| 710 | C2×C3 | — | 10 | 1 | no | — |
| 711 | C2×C3 | — | 10 | 1 | no | — |
| 712 | C2×C3 | D5×#120 | 1 | 1 | yes | characteristic |
| 713 | D3 | — | 4 | 2 | no | — |
| 714 | D3 | — | 8 | 1 | no | — |
| 715 | D3 | — | 20 | 2 | no | — |
| 716 | C5 | #78709 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 717 | C22 | — | 5 | 1 | no | — |
| 718 | C22 | — | 5 | 1 | no | — |
| 719 | C22 | — | 6 | 2 | no | — |
| 720 | C22 | — | 12 | 2 | no | — |
| 721 | C22 | — | 12 | 1 | no | — |
| 722 | C22 | — | 20 | 1 | no | — |
| 723 | C22 | — | 30 | 2 | no | — |
| 724 | C22 | — | 60 | 4 | no | — |
| 725 | C22 | C2×D5×D12 | 1 | 1 | yes | characteristic |
| 726 | C4 | — | 2 | 2 | no | — |
| 727 | C4 | — | 5 | 2 | no | — |
| 728 | C4 | — | 6 | 2 | no | — |
| 729 | C4 | — | 10 | 2 | no | — |
| 730 | C4 | — | 12 | 1 | no | — |
| 731 | C4 | — | 30 | 2 | no | — |
| 732 | C4 | — | 60 | 1 | no | — |
| 733 | C4 | — | 60 | 1 | no | — |
| 734 | C4 | D3×D4×D5 | 1 | 2 | yes | — |
| 735 | C3 | #10612016 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 736 | C2 | — | 2 | 1 | no | — |
| 737 | C2 | — | 10 | 1 | no | — |
| 738 | C2 | — | 10 | 1 | no | — |
| 739 | C2 | — | 12 | 2 | no | — |
| 740 | C2 | — | 24 | 1 | no | — |
| 741 | C2 | — | 60 | 2 | no | — |
| 742 | C2 | D5×#882 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D5×#1007 | C2 | semidirect |
| 2. #11755224 | C2 | semidirect |
| 3. #11754022 | C2 | semidirect |
| 4. #11750853 | C2 | semidirect |
| 5. C5×#4753 | C2 | semidirect |
| 6. C3×D5×#101 | C2 | semidirect |
| 7. #11749394 | C2 | semidirect |
| 8. #11749389 | C2 | semidirect |
| 9. #11748262 | C2 | semidirect |
| 10. #11748259 | C2 | semidirect |
| 11. #11748229 | C2 | semidirect |
| 25. #91833 | C22 | semidirect |
| 26. #91798 | C22 | semidirect |
| 27. C5×#947 | C22 | semidirect |
| 28. C5×#908 | C22 | semidirect |
| 32. #91389 | C22 | semidirect |
| 33. #91370 | C22 | semidirect |
| 35. #91322 | C22 | semidirect |
| 36. #91304 | C22 | semidirect |
| 41. C3×C5×#101 | C22 | semidirect |
| 42. #91109 | C22 | semidirect |
| 43. C5×#825 | C22 | semidirect |
| 44. C3×#3968 | C22 | semidirect |
| 45. C3×#3956 | C22 | semidirect |
| 46. #90980 | C22 | semidirect |
| 47. #90978 | C22 | semidirect |
| 59. D5×#101 | D3 | semidirect |
| 131. #4753 | D5 | semidirect |
| 164. C5×#101 | C2×D3 | semidirect |
| 166. #3968 | C2×D3 | semidirect |
| 168. #3956 | C2×D3 | semidirect |
| 234. #947 | C2×D5 | semidirect |
| 245. #908 | C2×D5 | semidirect |
| 250. C3×#101 | C2×D5 | semidirect |
| 254. #825 | C2×D5 | semidirect |
| 495. #101 | D3×D5 | semidirect |
| 634. C3×C5 | #3020 | semidirect |
| 716. C5 | #78709 | semidirect |
| 735. C3 | #10612016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#1007 | 2 |
| #11755224 | 2 |
| #11754022 | 2 |
| #11750853 | 2 |
| C5×#4753 | 2 |
| C3×D5×#101 | 2 |
| #11749394 | 2 |
| #11749389 | 2 |
| #11748262 | 2 |
| #11748259 | 2 |
| #11748229 | 2 |
| #10612016 | 3 |
| #78709 | 5 |