Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1456 conjugacy classes of subgroups.
The subgroup lattice has 768 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D3×#4147 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D3×#4093 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | D3×#4054 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #11750854 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×D3×#101 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#65042 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11749388 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11749384 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11748261 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11748255 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | D3×#3957 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | C2×#65042 | — | 3 | 1 | no | maximal, Hall |
| 13 | #92098 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | C2×C5×D3×Q8 | C22 | 1 | 1 | yes | characteristic |
| 15 | C3×#4147 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | D3×#713 | — | 2 | 2 | no | — |
| 17 | D3×Q8×D5 | — | 2 | 2 | no | — |
| 18 | #92029 | — | 2 | 2 | no | — |
| 19 | #92028 | — | 2 | 2 | no | — |
| 20 | D3×#709 | — | 2 | 2 | no | — |
| 21 | D3×#709 | C22 | 1 | 2 | yes | — |
| 22 | C2×D3×D20 | C22 | 1 | 1 | yes | characteristic |
| 23 | #92000 | — | 2 | 2 | no | — |
| 24 | #92000 | C22 | 1 | 2 | yes | complemented |
| 25 | #91836 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #91797 | C22 | 1 | 2 | yes | complemented |
| 27 | C5×D3×M16 | C22 | 1 | 2 | yes | — |
| 28 | C3×#4093 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C3×#4054 | C22 | 1 | 2 | yes | complemented |
| 30 | D3×#685 | — | 2 | 2 | no | — |
| 31 | #91455 | — | 2 | 2 | no | — |
| 32 | C4×D3×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 33 | #91375 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #91368 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #91312 | C22 | 1 | 2 | yes | complemented |
| 36 | #91301 | C22 | 1 | 2 | yes | complemented |
| 37 | #91254 | — | 2 | 2 | no | — |
| 38 | #91253 | — | 2 | 2 | no | — |
| 39 | D3×D40 | — | 2 | 2 | no | — |
| 40 | D3×#677 | — | 2 | 2 | no | — |
| 41 | C3×C5×#101 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #91109 | C22 | 1 | 2 | yes | complemented |
| 43 | C5×#836 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C5×#824 | C22 | 1 | 2 | yes | complemented |
| 45 | C3×#3957 | C22 | 1 | 2 | yes | complemented |
| 46 | #90981 | C22 | 1 | 2 | yes | complemented |
| 47 | #90976 | C22 | 1 | 2 | yes | complemented |
| 48 | D3×#454 | — | 5 | 1 | no | maximal, Hall |
| 49 | C2×#4147 | — | 3 | 1 | no | — |
| 50 | C2×#4093 | — | 3 | 1 | no | — |
| 51 | C2×#4054 | — | 3 | 2 | no | — |
| 52 | C2×C5×#101 | — | 3 | 1 | no | — |
| 53 | C2×#3957 | — | 3 | 2 | no | — |
| 54 | #65042 | — | 3 | 1 | no | — |
| 55 | #65042 | — | 3 | 2 | no | — |
| 56 | #65042 | — | 3 | 1 | no | — |
| 57 | #65042 | — | 3 | 2 | no | — |
| 58 | #65042 | — | 3 | 1 | no | — |
| 59 | #65042 | D3 | 1 | 1 | yes | characteristic, direct product factor |
| 60 | C22×D3×D5 | — | 2 | 1 | no | — |
| 61 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 62 | #6821 | — | 2 | 2 | no | — |
| 63 | Q8×D15 | — | 2 | 2 | no | — |
| 64 | #6817 | — | 2 | 2 | no | — |
| 65 | #6817 | C23 | 1 | 2 | yes | — |
| 66 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 67 | C5×D3×Q8 | — | 2 | 2 | no | — |
| 68 | C5×D3×Q8 | — | 2 | 2 | no | — |
| 69 | C2×C4×C5×D3 | D4 | 1 | 2 | yes | — |
| 70 | C2×C4×C5×D3 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×C5×Dic6 | D4 | 1 | 2 | yes | — |
| 72 | C2×C5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 73 | C3×#713 | — | 2 | 2 | no | — |
| 74 | C3×Q8×D5 | — | 2 | 2 | no | — |
| 75 | C3×#709 | — | 2 | 2 | no | — |
| 76 | C3×#709 | C23 | 1 | 2 | yes | — |
| 77 | C2×C3×D20 | C23 | 1 | 1 | yes | characteristic |
| 78 | D3×C22⋊D5 | — | 2 | 2 | no | — |
| 79 | C2×#1202 | — | 2 | 1 | no | — |
| 80 | C2×D3×Dic5 | — | 2 | 1 | no | — |
| 81 | #6779 | — | 2 | 2 | no | — |
| 82 | #6779 | — | 2 | 4 | no | — |
| 83 | D3×D20 | — | 2 | 2 | no | — |
| 84 | D3×D20 | — | 2 | 2 | no | — |
| 85 | D3×D20 | — | 2 | 2 | no | — |
| 86 | D3×D20 | D4 | 1 | 2 | yes | — |
| 87 | C4×D3×D5 | — | 2 | 4 | no | — |
| 88 | C4×D3×D5 | — | 2 | 2 | no | — |
| 89 | #6773 | — | 2 | 4 | no | — |
| 90 | #6773 | — | 2 | 2 | no | — |
| 91 | #6771 | — | 2 | 4 | no | — |
| 92 | #6771 | — | 2 | 2 | no | — |
| 93 | D15⋊Q8 | — | 2 | 4 | no | — |
| 94 | D15⋊Q8 | — | 2 | 2 | no | — |
| 95 | #6769 | — | 2 | 2 | no | — |
| 96 | #6769 | D4 | 1 | 2 | yes | — |
| 97 | D3×Dic10 | — | 2 | 2 | no | — |
| 98 | D3×Dic10 | D4 | 1 | 2 | yes | — |
| 99 | #6766 | — | 2 | 4 | no | — |
| 100 | #6766 | — | 2 | 2 | no | — |
| 101 | #6765 | — | 2 | 2 | no | — |
| 102 | #6765 | D4 | 1 | 2 | yes | — |
| 103 | D5×Dic6 | — | 2 | 4 | no | — |
| 104 | D5×Dic6 | — | 2 | 2 | no | — |
| 105 | C3×C5×M16 | C23 | 1 | 2 | yes | — |
| 106 | #6714 | — | 2 | 2 | no | — |
| 107 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 108 | D120 | — | 2 | 2 | no | — |
| 109 | #6706 | — | 2 | 2 | no | — |
| 110 | C5×#208 | C23 | 1 | 2 | yes | — |
| 111 | C5×ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 112 | C5×D3×C8 | — | 2 | 2 | no | — |
| 113 | C3×#685 | — | 2 | 2 | no | — |
| 114 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 115 | C3×D40 | — | 2 | 2 | no | — |
| 116 | C3×#677 | — | 2 | 2 | no | — |
| 117 | #6667 | — | 2 | 2 | no | — |
| 118 | #6665 | — | 2 | 2 | no | — |
| 119 | Dic3×Dic5 | — | 2 | 1 | no | — |
| 120 | #6658 | — | 2 | 2 | no | — |
| 121 | #6657 | — | 2 | 2 | no | — |
| 122 | #6653 | — | 2 | 2 | no | — |
| 123 | #6653 | — | 2 | 2 | no | — |
| 124 | D3×2−1+4 | — | 5 | 1 | no | — |
| 125 | D3×AGL(1,ℤ/8) | — | 5 | 2 | no | — |
| 126 | D3×#124 | — | 5 | 1 | no | — |
| 127 | C3×#454 | — | 5 | 1 | no | — |
| 128 | #5245 | — | 5 | 1 | no | — |
| 129 | #5201 | — | 5 | 2 | no | — |
| 130 | #5062 | — | 5 | 1 | no | — |
| 131 | #4827 | — | 5 | 2 | no | — |
| 132 | D3×#104 | — | 5 | 2 | no | — |
| 133 | #4753 | — | 5 | 1 | no | — |
| 134 | D3×#101 | D5 | 1 | 1 | yes | characteristic, complemented |
| 135 | C22×C5×Q8 | — | 3 | 1 | no | — |
| 136 | #4147 | — | 3 | 1 | no | — |
| 137 | #4147 | — | 3 | 2 | no | — |
| 138 | #4147 | — | 6 | 2 | no | — |
| 139 | #4147 | — | 6 | 2 | no | — |
| 140 | #4147 | — | 6 | 2 | no | — |
| 141 | #4147 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 142 | C2×#713 | — | 6 | 2 | no | — |
| 143 | C2×Q8×D5 | — | 6 | 2 | no | — |
| 144 | C2×#709 | — | 3 | 2 | no | — |
| 145 | C2×#709 | — | 6 | 2 | no | — |
| 146 | C22×D20 | — | 3 | 1 | no | — |
| 147 | C2×C5×M16 | — | 3 | 2 | no | — |
| 148 | #4093 | — | 3 | 1 | no | — |
| 149 | #4093 | — | 3 | 1 | no | — |
| 150 | #4093 | — | 3 | 1 | no | — |
| 151 | #4093 | — | 6 | 2 | no | — |
| 152 | #4093 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 153 | C2×#685 | — | 6 | 2 | no | — |
| 154 | C2×C4×Dic5 | — | 3 | 1 | no | — |
| 155 | #4054 | — | 3 | 2 | no | — |
| 156 | #4054 | — | 3 | 2 | no | — |
| 157 | #4054 | — | 3 | 2 | no | — |
| 158 | #4054 | — | 6 | 2 | no | — |
| 159 | #4054 | — | 6 | 2 | no | — |
| 160 | #4054 | C2×D3 | 1 | 2 | yes | complemented |
| 161 | C2×D40 | — | 6 | 2 | no | — |
| 162 | C2×#677 | — | 6 | 2 | no | — |
| 163 | C5×#101 | — | 3 | 1 | no | — |
| 164 | C5×#101 | — | 3 | 2 | no | — |
| 165 | C5×#101 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 166 | #3957 | — | 3 | 2 | no | — |
| 167 | #3957 | — | 3 | 2 | no | — |
| 168 | #3957 | — | 3 | 2 | no | — |
| 169 | #3957 | C2×D3 | 1 | 2 | yes | complemented |
| 170 | C2×#454 | — | 15 | 1 | no | Sylow |
| 171 | C22×D15 | — | 2 | 1 | no | — |
| 172 | C22×C5×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 173 | C22×C3×D5 | — | 2 | 1 | no | — |
| 174 | C2×D3×D5 | — | 2 | 2 | no | — |
| 175 | C2×D3×D5 | — | 4 | 4 | no | — |
| 176 | C2×D3×D5 | — | 4 | 1 | no | — |
| 177 | C2×D3×D5 | — | 4 | 1 | no | — |
| 178 | C3×C5×Q8 | — | 2 | 2 | no | — |
| 179 | C2×C3×C4×C5 | C2×D4 | 1 | 2 | yes | — |
| 180 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 181 | #1220 | — | 2 | 2 | no | — |
| 182 | C2×Dic15 | — | 2 | 1 | no | — |
| 183 | D60 | — | 2 | 2 | no | — |
| 184 | D60 | — | 2 | 2 | no | — |
| 185 | D60 | C2×D4 | 1 | 2 | yes | — |
| 186 | C4×D15 | — | 2 | 4 | no | — |
| 187 | C4×D15 | — | 2 | 2 | no | — |
| 188 | Dic30 | — | 2 | 2 | no | — |
| 189 | Dic30 | C2×D4 | 1 | 2 | yes | — |
| 190 | C2×C5×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 191 | C2×C5×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C4×C5×D3 | — | 2 | 2 | no | — |
| 193 | C4×C5×D3 | — | 2 | 2 | no | — |
| 194 | C4×C5×D3 | C2×D4 | 1 | 2 | yes | — |
| 195 | C4×C5×D3 | C2×D4 | 1 | 2 | yes | — |
| 196 | C5×Dic6 | — | 2 | 2 | no | — |
| 197 | C5×Dic6 | — | 2 | 4 | no | — |
| 198 | C3×C22⋊D5 | — | 2 | 2 | no | — |
| 199 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 200 | C3×D20 | — | 2 | 2 | no | — |
| 201 | C3×D20 | — | 2 | 2 | no | — |
| 202 | C3×D20 | C2×D4 | 1 | 2 | yes | — |
| 203 | C3×C4×D5 | — | 2 | 4 | no | — |
| 204 | C3×C4×D5 | — | 2 | 2 | no | — |
| 205 | C3×Dic10 | — | 2 | 2 | no | — |
| 206 | C3×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 207 | #1204 | — | 2 | 4 | no | — |
| 208 | #1204 | — | 2 | 2 | no | — |
| 209 | #1203 | — | 2 | 2 | no | — |
| 210 | #1202 | — | 2 | 4 | no | — |
| 211 | #1202 | — | 2 | 2 | no | — |
| 212 | #1202 | — | 4 | 2 | no | — |
| 213 | #1201 | — | 2 | 2 | no | — |
| 214 | #1200 | — | 2 | 4 | no | — |
| 215 | #1200 | — | 2 | 2 | no | — |
| 216 | D3×Dic5 | — | 2 | 2 | no | — |
| 217 | D3×Dic5 | — | 4 | 2 | no | — |
| 218 | D5×Dic3 | — | 2 | 4 | no | — |
| 219 | D5×Dic3 | — | 2 | 2 | no | — |
| 220 | C3×C5×C8 | — | 2 | 2 | no | — |
| 221 | C5×C3⋊C8 | — | 2 | 2 | no | — |
| 222 | C3×2−1+4 | — | 5 | 1 | no | — |
| 223 | #1010 | — | 5 | 2 | no | — |
| 224 | #1010 | — | 10 | 2 | no | — |
| 225 | #1010 | — | 10 | 2 | no | — |
| 226 | D3×#41 | — | 5 | 2 | no | — |
| 227 | D3×#41 | — | 10 | 2 | no | — |
| 228 | D3×#41 | — | 10 | 2 | no | — |
| 229 | #1007 | — | 5 | 1 | no | — |
| 230 | #1007 | — | 10 | 2 | no | — |
| 231 | C2×D3×Q8 | — | 10 | 2 | no | — |
| 232 | C2×D3×Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 233 | C2×D3×D4 | — | 5 | 1 | no | — |
| 234 | C3×AGL(1,ℤ/8) | — | 5 | 2 | no | — |
| 235 | C3×#124 | — | 5 | 1 | no | — |
| 236 | #949 | — | 5 | 2 | no | — |
| 237 | #947 | — | 5 | 1 | no | — |
| 238 | #936 | — | 5 | 1 | no | — |
| 239 | #932 | — | 5 | 2 | no | — |
| 240 | #914 | — | 10 | 2 | no | — |
| 241 | D3×SD16 | — | 10 | 2 | no | — |
| 242 | #911 | — | 10 | 2 | no | — |
| 243 | D3×D8 | — | 10 | 2 | no | — |
| 244 | #908 | — | 5 | 2 | no | — |
| 245 | D3×M16 | C2×D5 | 1 | 2 | yes | — |
| 246 | #885 | — | 10 | 2 | no | — |
| 247 | D3×C22⋊C4 | — | 10 | 2 | no | — |
| 248 | #875 | — | 5 | 1 | no | — |
| 249 | C42×D3 | — | 5 | 1 | no | — |
| 250 | C3×#104 | — | 5 | 2 | no | — |
| 251 | C3×#101 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 252 | #837 | — | 5 | 2 | no | — |
| 253 | #836 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 254 | #825 | — | 5 | 2 | no | — |
| 255 | #824 | C2×D5 | 1 | 2 | yes | complemented |
| 256 | #805 | — | 5 | 2 | no | — |
| 257 | C23×D5 | — | 6 | 1 | no | — |
| 258 | C2×C5×Q8 | — | 3 | 2 | no | — |
| 259 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 260 | C2×C5×Q8 | — | 6 | 2 | no | — |
| 261 | C2×C5×Q8 | — | 6 | 2 | no | — |
| 262 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 263 | C22×C4×C5 | — | 3 | 1 | no | — |
| 264 | C22×C4×C5 | — | 3 | 2 | no | — |
| 265 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 266 | C22×Dic5 | — | 6 | 1 | no | — |
| 267 | #713 | — | 2 | 2 | no | — |
| 268 | #713 | — | 6 | 2 | no | — |
| 269 | #713 | — | 6 | 4 | no | — |
| 270 | #713 | — | 6 | 4 | no | — |
| 271 | #713 | — | 6 | 2 | no | — |
| 272 | #713 | — | 6 | 2 | no | — |
| 273 | Q8×D5 | — | 2 | 2 | no | — |
| 274 | Q8×D5 | — | 6 | 4 | no | — |
| 275 | Q8×D5 | — | 6 | 2 | no | — |
| 276 | Q8×D5 | — | 6 | 2 | no | — |
| 277 | Q8×D5 | — | 6 | 4 | no | — |
| 278 | Q8×D5 | — | 6 | 2 | no | — |
| 279 | #709 | — | 2 | 2 | no | — |
| 280 | #709 | — | 3 | 2 | no | — |
| 281 | #709 | — | 3 | 2 | no | — |
| 282 | #709 | — | 3 | 2 | no | — |
| 283 | #709 | — | 6 | 2 | no | — |
| 284 | #709 | — | 6 | 2 | no | — |
| 285 | #709 | — | 6 | 4 | no | — |
| 286 | #709 | — | 6 | 2 | no | — |
| 287 | #709 | — | 6 | 2 | no | — |
| 288 | #709 | — | 6 | 4 | no | — |
| 289 | #709 | — | 6 | 2 | no | — |
| 290 | #709 | C22×D3 | 1 | 2 | yes | — |
| 291 | C2×D20 | — | 3 | 2 | no | — |
| 292 | C2×D20 | — | 3 | 1 | no | — |
| 293 | C2×D20 | — | 6 | 2 | no | — |
| 294 | C2×D20 | — | 6 | 2 | no | — |
| 295 | C2×D20 | — | 6 | 2 | no | — |
| 296 | C2×D20 | — | 6 | 1 | no | — |
| 297 | C2×D20 | C22×D3 | 1 | 1 | yes | characteristic |
| 298 | C2×C4×D5 | — | 6 | 2 | no | — |
| 299 | C2×C4×D5 | — | 6 | 4 | no | — |
| 300 | C2×Dic10 | — | 3 | 2 | no | — |
| 301 | C2×Dic10 | — | 6 | 2 | no | — |
| 302 | C5×M16 | — | 3 | 2 | no | — |
| 303 | C5×M16 | — | 6 | 2 | no | — |
| 304 | C5×M16 | C22×D3 | 1 | 2 | yes | — |
| 305 | C2×C5×C8 | — | 6 | 2 | no | — |
| 306 | #685 | — | 2 | 2 | no | — |
| 307 | #685 | — | 6 | 2 | no | — |
| 308 | #685 | — | 6 | 2 | no | — |
| 309 | #685 | — | 6 | 2 | no | — |
| 310 | C4×Dic5 | — | 3 | 1 | no | — |
| 311 | C4×Dic5 | — | 6 | 1 | no | — |
| 312 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 313 | D40 | — | 2 | 2 | no | — |
| 314 | D40 | — | 6 | 2 | no | — |
| 315 | D40 | — | 6 | 2 | no | — |
| 316 | D40 | — | 6 | 2 | no | — |
| 317 | #677 | — | 2 | 2 | no | — |
| 318 | #677 | — | 6 | 2 | no | — |
| 319 | #677 | — | 6 | 2 | no | — |
| 320 | #677 | — | 6 | 2 | no | — |
| 321 | C2×2−1+4 | — | 15 | 1 | no | — |
| 322 | C2×AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 323 | C2×#124 | — | 15 | 1 | no | — |
| 324 | #454 | — | 5 | 1 | no | — |
| 325 | #454 | — | 15 | 2 | no | — |
| 326 | #454 | — | 15 | 1 | no | — |
| 327 | #454 | — | 15 | 2 | no | — |
| 328 | #454 | — | 15 | 1 | no | — |
| 329 | #454 | — | 15 | 1 | no | — |
| 330 | C2×#104 | — | 15 | 2 | no | — |
| 331 | C2×#101 | — | 3 | 1 | no | — |
| 332 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 333 | C2×D15 | — | 2 | 2 | no | — |
| 334 | C2×D15 | — | 4 | 2 | no | — |
| 335 | C2×D15 | — | 4 | 1 | no | — |
| 336 | C2×C5×D3 | — | 2 | 2 | no | — |
| 337 | C2×C5×D3 | #120 | 1 | 1 | yes | characteristic |
| 338 | C2×C5×D3 | #120 | 1 | 1 | yes | characteristic |
| 339 | C2×C3×D5 | — | 2 | 2 | no | — |
| 340 | C2×C3×D5 | — | 4 | 2 | no | — |
| 341 | C2×C3×D5 | — | 4 | 1 | no | — |
| 342 | D3×D5 | — | 4 | 4 | no | — |
| 343 | D3×D5 | — | 8 | 2 | no | — |
| 344 | D3×D5 | — | 8 | 2 | no | — |
| 345 | C3×C4×C5 | — | 2 | 2 | no | — |
| 346 | C3×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 347 | Dic15 | — | 2 | 2 | no | — |
| 348 | Dic15 | — | 4 | 1 | no | — |
| 349 | C3×Dic5 | — | 2 | 2 | no | — |
| 350 | C3×Dic5 | — | 4 | 1 | no | — |
| 351 | C5×Dic3 | — | 2 | 2 | no | — |
| 352 | C5×Dic3 | #120 | 1 | 2 | yes | — |
| 353 | C23×D3 | — | 10 | 1 | no | — |
| 354 | C3×#41 | — | 5 | 2 | no | — |
| 355 | C3×#41 | — | 10 | 2 | no | — |
| 356 | C3×#41 | — | 10 | 2 | no | — |
| 357 | C2×C3×Q8 | — | 10 | 2 | no | — |
| 358 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 359 | C2×C3×D4 | — | 5 | 1 | no | — |
| 360 | C2×#67 | — | 10 | 1 | no | — |
| 361 | #239 | — | 5 | 2 | no | — |
| 362 | #239 | — | 10 | 2 | no | — |
| 363 | #239 | — | 10 | 2 | no | — |
| 364 | D3×Q8 | — | 2 | 2 | no | — |
| 365 | D3×Q8 | — | 2 | 2 | no | — |
| 366 | D3×Q8 | — | 5 | 2 | no | — |
| 367 | D3×Q8 | — | 10 | 2 | no | — |
| 368 | D3×Q8 | — | 10 | 4 | no | — |
| 369 | D3×Q8 | — | 10 | 2 | no | — |
| 370 | D3×Q8 | — | 10 | 2 | no | — |
| 371 | #237 | — | 5 | 2 | no | — |
| 372 | #237 | — | 10 | 2 | no | — |
| 373 | #237 | — | 10 | 4 | no | — |
| 374 | #237 | — | 10 | 2 | no | — |
| 375 | #237 | — | 10 | 2 | no | — |
| 376 | #237 | — | 10 | 4 | no | — |
| 377 | D3×D4 | — | 5 | 2 | no | — |
| 378 | D3×D4 | — | 10 | 2 | no | — |
| 379 | D3×D4 | — | 10 | 2 | no | — |
| 380 | D3×D4 | — | 10 | 2 | no | — |
| 381 | D3×D4 | — | 10 | 2 | no | — |
| 382 | #235 | — | 5 | 2 | no | — |
| 383 | #235 | — | 10 | 2 | no | — |
| 384 | #235 | — | 10 | 4 | no | — |
| 385 | #235 | — | 10 | 4 | no | — |
| 386 | #235 | — | 10 | 2 | no | — |
| 387 | #235 | — | 10 | 2 | no | — |
| 388 | C2×D12 | — | 5 | 1 | no | — |
| 389 | C2×C4×D3 | — | 10 | 4 | no | — |
| 390 | C2×C4×D3 | — | 10 | 2 | no | — |
| 391 | C2×C4×D3 | — | 10 | 1 | no | — |
| 392 | C2×C4×D3 | D20 | 1 | 2 | yes | — |
| 393 | C2×C4×D3 | C22×D5 | 1 | 1 | yes | characteristic |
| 394 | C2×Dic6 | — | 10 | 2 | no | — |
| 395 | C2×Dic6 | — | 10 | 4 | no | — |
| 396 | C2×Dic6 | D20 | 1 | 2 | yes | — |
| 397 | C2×Dic6 | C22×D5 | 1 | 1 | yes | characteristic |
| 398 | C3×SD16 | — | 10 | 2 | no | — |
| 399 | C3×D8 | — | 10 | 2 | no | — |
| 400 | C3×M16 | C22×D5 | 1 | 2 | yes | — |
| 401 | C3×C22⋊C4 | — | 10 | 2 | no | — |
| 402 | C3×C42 | — | 5 | 1 | no | — |
| 403 | #217 | — | 10 | 2 | no | — |
| 404 | #215 | — | 10 | 2 | no | — |
| 405 | #214 | — | 10 | 2 | no | — |
| 406 | #213 | — | 10 | 2 | no | — |
| 407 | #213 | — | 10 | 2 | no | — |
| 408 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 409 | (C2×D3)⋊C4 | — | 10 | 2 | no | — |
| 410 | C4×Dic3 | — | 5 | 1 | no | — |
| 411 | C4×Dic3 | — | 10 | 1 | no | — |
| 412 | #208 | C22×D5 | 1 | 2 | yes | — |
| 413 | D24 | — | 10 | 2 | no | — |
| 414 | #204 | — | 10 | 2 | no | — |
| 415 | ΓL(1,𝔽25) | — | 2 | 2 | no | — |
| 416 | D3×C8 | — | 2 | 2 | no | — |
| 417 | C23×C5 | — | 3 | 1 | no | — |
| 418 | C22×D5 | — | 2 | 1 | no | — |
| 419 | C22×D5 | — | 6 | 2 | no | — |
| 420 | C22×D5 | — | 6 | 1 | no | — |
| 421 | C22×D5 | — | 12 | 1 | no | — |
| 422 | C22×D5 | — | 12 | 1 | no | — |
| 423 | C22×D5 | — | 12 | 4 | no | — |
| 424 | C5×Q8 | — | 2 | 2 | no | — |
| 425 | C5×Q8 | — | 6 | 4 | no | — |
| 426 | C5×Q8 | — | 6 | 2 | no | — |
| 427 | C2×C4×C5 | — | 3 | 1 | no | — |
| 428 | C2×C4×C5 | — | 3 | 2 | no | — |
| 429 | C2×C4×C5 | — | 3 | 2 | no | — |
| 430 | C2×C4×C5 | — | 3 | 2 | no | — |
| 431 | C2×C4×C5 | — | 6 | 2 | no | — |
| 432 | C2×C4×C5 | — | 6 | 2 | no | — |
| 433 | C2×C4×C5 | D3×D4 | 1 | 2 | yes | — |
| 434 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 435 | C22⋊D5 | — | 2 | 2 | no | — |
| 436 | C22⋊D5 | — | 6 | 2 | no | — |
| 437 | C22⋊D5 | — | 6 | 2 | no | — |
| 438 | C22⋊D5 | — | 6 | 2 | no | — |
| 439 | C2×Dic5 | — | 2 | 1 | no | — |
| 440 | C2×Dic5 | — | 6 | 2 | no | — |
| 441 | C2×Dic5 | — | 6 | 1 | no | — |
| 442 | C2×Dic5 | — | 12 | 2 | no | — |
| 443 | D20 | — | 2 | 2 | no | — |
| 444 | D20 | — | 2 | 2 | no | — |
| 445 | D20 | — | 3 | 2 | no | — |
| 446 | D20 | — | 6 | 2 | no | — |
| 447 | D20 | — | 6 | 2 | no | — |
| 448 | D20 | — | 6 | 4 | no | — |
| 449 | D20 | — | 6 | 2 | no | — |
| 450 | D20 | — | 12 | 2 | no | — |
| 451 | D20 | D3×D4 | 1 | 2 | yes | — |
| 452 | C4×D5 | — | 2 | 4 | no | — |
| 453 | C4×D5 | — | 2 | 2 | no | — |
| 454 | C4×D5 | — | 6 | 2 | no | — |
| 455 | C4×D5 | — | 6 | 4 | no | — |
| 456 | C4×D5 | — | 6 | 4 | no | — |
| 457 | C4×D5 | — | 6 | 2 | no | — |
| 458 | C4×D5 | — | 6 | 4 | no | — |
| 459 | C4×D5 | — | 6 | 2 | no | — |
| 460 | Dic10 | — | 2 | 2 | no | — |
| 461 | Dic10 | — | 3 | 2 | no | — |
| 462 | Dic10 | — | 6 | 2 | no | — |
| 463 | Dic10 | — | 6 | 4 | no | — |
| 464 | Dic10 | — | 6 | 2 | no | — |
| 465 | Dic10 | D3×D4 | 1 | 2 | yes | — |
| 466 | C5×C8 | — | 2 | 2 | no | — |
| 467 | C5×C8 | — | 6 | 2 | no | — |
| 468 | 2−1+4 | — | 5 | 1 | no | — |
| 469 | 2−1+4 | — | 15 | 2 | no | — |
| 470 | 2−1+4 | — | 15 | 1 | no | — |
| 471 | 2−1+4 | — | 30 | 2 | no | — |
| 472 | 2−1+4 | — | 30 | 2 | no | — |
| 473 | 2−1+4 | — | 30 | 2 | no | — |
| 474 | C2×#41 | — | 15 | 2 | no | — |
| 475 | C2×#41 | — | 30 | 2 | no | — |
| 476 | C2×#41 | — | 30 | 2 | no | — |
| 477 | C22×Q8 | — | 3 | 1 | no | — |
| 478 | C22×Q8 | — | 30 | 2 | no | — |
| 479 | C22×D4 | — | 15 | 1 | no | — |
| 480 | AGL(1,ℤ/8) | — | 5 | 2 | no | — |
| 481 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 482 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 483 | AGL(1,ℤ/8) | — | 15 | 2 | no | — |
| 484 | AGL(1,ℤ/8) | — | 30 | 2 | no | — |
| 485 | AGL(1,ℤ/8) | — | 30 | 2 | no | — |
| 486 | C2×SD16 | — | 30 | 2 | no | — |
| 487 | C2×D8 | — | 30 | 2 | no | — |
| 488 | C2×M16 | — | 3 | 2 | no | — |
| 489 | #124 | — | 5 | 1 | no | — |
| 490 | #124 | — | 15 | 1 | no | — |
| 491 | #124 | — | 15 | 1 | no | — |
| 492 | #124 | — | 15 | 1 | no | — |
| 493 | #124 | — | 30 | 2 | no | — |
| 494 | C2×C22⋊C4 | — | 30 | 2 | no | — |
| 495 | C2×C42 | — | 15 | 1 | no | — |
| 496 | #104 | — | 5 | 2 | no | — |
| 497 | #104 | — | 15 | 2 | no | — |
| 498 | #104 | — | 15 | 2 | no | — |
| 499 | #104 | — | 15 | 2 | no | — |
| 500 | #101 | — | 3 | 1 | no | — |
| 501 | #101 | — | 3 | 2 | no | — |
| 502 | #101 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 503 | C2×C3×C5 | — | 2 | 1 | no | — |
| 504 | C2×C3×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 505 | D15 | — | 4 | 2 | no | — |
| 506 | D15 | — | 8 | 1 | no | — |
| 507 | C3×D5 | — | 4 | 2 | no | — |
| 508 | C3×D5 | — | 8 | 1 | no | — |
| 509 | C5×D3 | — | 2 | 1 | no | — |
| 510 | C5×D3 | #454 | 1 | 2 | yes | complemented |
| 511 | C23×C3 | — | 10 | 1 | no | — |
| 512 | C22×D3 | — | 10 | 2 | no | — |
| 513 | C22×D3 | — | 10 | 1 | no | — |
| 514 | C22×D3 | — | 20 | 4 | no | — |
| 515 | C22×D3 | — | 20 | 1 | no | — |
| 516 | C22×D3 | — | 20 | 1 | no | — |
| 517 | C22×D3 | C2×D20 | 1 | 1 | yes | characteristic |
| 518 | C3×Q8 | — | 2 | 2 | no | — |
| 519 | C3×Q8 | — | 5 | 2 | no | — |
| 520 | C3×Q8 | — | 10 | 2 | no | — |
| 521 | C3×D4 | — | 5 | 2 | no | — |
| 522 | C3×D4 | — | 10 | 2 | no | — |
| 523 | C3×D4 | — | 10 | 2 | no | — |
| 524 | C3×D4 | — | 10 | 2 | no | — |
| 525 | C2×C3×C4 | — | 10 | 4 | no | — |
| 526 | C2×C3×C4 | — | 10 | 2 | no | — |
| 527 | C2×C3×C4 | — | 10 | 1 | no | — |
| 528 | C2×C3×C4 | C2×D20 | 1 | 2 | yes | — |
| 529 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 530 | #67 | — | 10 | 4 | no | — |
| 531 | #67 | — | 10 | 2 | no | — |
| 532 | #67 | — | 10 | 2 | no | — |
| 533 | #67 | — | 10 | 2 | no | — |
| 534 | #67 | — | 20 | 2 | no | — |
| 535 | C2×Dic3 | — | 10 | 4 | no | — |
| 536 | C2×Dic3 | — | 10 | 2 | no | — |
| 537 | C2×Dic3 | — | 10 | 1 | no | — |
| 538 | C2×Dic3 | C2×D20 | 1 | 2 | yes | — |
| 539 | C2×Dic3 | C2×D20 | 1 | 1 | yes | characteristic |
| 540 | D12 | — | 5 | 2 | no | — |
| 541 | D12 | — | 10 | 2 | no | — |
| 542 | D12 | — | 10 | 2 | no | — |
| 543 | D12 | — | 10 | 2 | no | — |
| 544 | C4×D3 | — | 2 | 2 | no | — |
| 545 | C4×D3 | — | 2 | 2 | no | — |
| 546 | C4×D3 | — | 10 | 4 | no | — |
| 547 | C4×D3 | — | 10 | 4 | no | — |
| 548 | C4×D3 | — | 10 | 2 | no | — |
| 549 | C4×D3 | — | 10 | 2 | no | — |
| 550 | C4×D3 | — | 10 | 2 | no | — |
| 551 | C4×D3 | — | 20 | 2 | no | — |
| 552 | C4×D3 | D4×D5 | 1 | 2 | yes | — |
| 553 | C4×D3 | D4×D5 | 1 | 2 | yes | — |
| 554 | Dic6 | — | 2 | 2 | no | — |
| 555 | Dic6 | — | 2 | 4 | no | — |
| 556 | Dic6 | — | 5 | 2 | no | — |
| 557 | Dic6 | — | 10 | 4 | no | — |
| 558 | Dic6 | — | 10 | 2 | no | — |
| 559 | Dic6 | — | 10 | 2 | no | — |
| 560 | C3×C8 | — | 2 | 2 | no | — |
| 561 | C3⋊C8 | — | 2 | 2 | no | — |
| 562 | C22×C5 | — | 3 | 1 | no | — |
| 563 | C22×C5 | — | 3 | 1 | no | — |
| 564 | C22×C5 | — | 6 | 2 | no | — |
| 565 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 566 | C2×D5 | — | 2 | 2 | no | — |
| 567 | C2×D5 | — | 4 | 2 | no | — |
| 568 | C2×D5 | — | 4 | 1 | no | — |
| 569 | C2×D5 | — | 6 | 2 | no | — |
| 570 | C2×D5 | — | 12 | 4 | no | — |
| 571 | C2×D5 | — | 12 | 2 | no | — |
| 572 | C2×D5 | — | 12 | 1 | no | — |
| 573 | C2×D5 | — | 24 | 2 | no | — |
| 574 | C2×D5 | — | 24 | 2 | no | — |
| 575 | C4×C5 | — | 2 | 2 | no | — |
| 576 | C4×C5 | — | 3 | 2 | no | — |
| 577 | C4×C5 | — | 6 | 2 | no | — |
| 578 | C4×C5 | C2×D3×D4 | 1 | 2 | yes | — |
| 579 | Dic5 | — | 2 | 2 | no | — |
| 580 | Dic5 | — | 4 | 1 | no | — |
| 581 | Dic5 | — | 6 | 2 | no | — |
| 582 | Dic5 | — | 12 | 1 | no | — |
| 583 | C24 | — | 30 | 1 | no | — |
| 584 | #41 | — | 5 | 2 | no | — |
| 585 | #41 | — | 10 | 2 | no | — |
| 586 | #41 | — | 10 | 2 | no | — |
| 587 | #41 | — | 15 | 2 | no | — |
| 588 | #41 | — | 15 | 2 | no | — |
| 589 | #41 | — | 15 | 2 | no | — |
| 590 | #41 | — | 30 | 2 | no | — |
| 591 | #41 | — | 30 | 2 | no | — |
| 592 | #41 | — | 30 | 4 | no | — |
| 593 | #41 | — | 30 | 4 | no | — |
| 594 | #41 | — | 30 | 2 | no | — |
| 595 | #41 | — | 30 | 2 | no | — |
| 596 | #41 | — | 30 | 2 | no | — |
| 597 | #41 | — | 30 | 4 | no | — |
| 598 | #41 | — | 30 | 2 | no | — |
| 599 | #41 | — | 30 | 4 | no | — |
| 600 | #41 | — | 30 | 2 | no | — |
| 601 | #41 | — | 30 | 2 | no | — |
| 602 | C2×Q8 | — | 3 | 2 | no | — |
| 603 | C2×Q8 | — | 3 | 1 | no | — |
| 604 | C2×Q8 | — | 6 | 2 | no | — |
| 605 | C2×Q8 | — | 6 | 2 | no | — |
| 606 | C2×Q8 | — | 10 | 2 | no | — |
| 607 | C2×Q8 | — | 15 | 2 | no | — |
| 608 | C2×Q8 | — | 30 | 2 | no | — |
| 609 | C2×Q8 | — | 30 | 2 | no | — |
| 610 | C2×Q8 | — | 30 | 4 | no | — |
| 611 | C2×Q8 | — | 30 | 2 | no | — |
| 612 | C2×Q8 | — | 30 | 2 | no | — |
| 613 | C2×Q8 | — | 30 | 4 | no | — |
| 614 | C2×Q8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 615 | C2×D4 | — | 5 | 1 | no | — |
| 616 | C2×D4 | — | 15 | 2 | no | — |
| 617 | C2×D4 | — | 15 | 1 | no | — |
| 618 | C2×D4 | — | 30 | 2 | no | — |
| 619 | C2×D4 | — | 30 | 2 | no | — |
| 620 | C2×D4 | — | 30 | 1 | no | — |
| 621 | C2×D4 | — | 30 | 2 | no | — |
| 622 | C2×D4 | — | 30 | 2 | no | — |
| 623 | C22×C4 | — | 3 | 1 | no | — |
| 624 | C22×C4 | — | 3 | 2 | no | — |
| 625 | C22×C4 | — | 30 | 2 | no | — |
| 626 | C22×C4 | — | 30 | 4 | no | — |
| 627 | C22×C4 | — | 30 | 1 | no | — |
| 628 | SD16 | — | 10 | 2 | no | — |
| 629 | SD16 | — | 30 | 2 | no | — |
| 630 | SD16 | — | 30 | 2 | no | — |
| 631 | SD16 | — | 30 | 2 | no | — |
| 632 | D8 | — | 10 | 2 | no | — |
| 633 | D8 | — | 30 | 2 | no | — |
| 634 | D8 | — | 30 | 2 | no | — |
| 635 | D8 | — | 30 | 2 | no | — |
| 636 | M16 | — | 3 | 2 | no | — |
| 637 | M16 | — | 6 | 2 | no | — |
| 638 | M16 | C2×D3×D5 | 1 | 2 | yes | — |
| 639 | C2×C8 | — | 6 | 2 | no | — |
| 640 | C22⋊C4 | — | 10 | 2 | no | — |
| 641 | C22⋊C4 | — | 30 | 2 | no | — |
| 642 | C22⋊C4 | — | 30 | 2 | no | — |
| 643 | C22⋊C4 | — | 30 | 2 | no | — |
| 644 | C42 | — | 5 | 1 | no | — |
| 645 | C42 | — | 15 | 1 | no | — |
| 646 | C42 | — | 30 | 1 | no | — |
| 647 | C3×C5 | C2×#454 | 1 | 1 | yes | characteristic, complemented, Hall |
| 648 | C22×C3 | — | 10 | 2 | no | — |
| 649 | C22×C3 | — | 20 | 2 | no | — |
| 650 | C22×C3 | — | 20 | 1 | no | — |
| 651 | C22×C3 | C22×D20 | 1 | 1 | yes | characteristic |
| 652 | C2×D3 | — | 2 | 2 | no | — |
| 653 | C2×D3 | — | 10 | 2 | no | — |
| 654 | C2×D3 | — | 20 | 4 | no | — |
| 655 | C2×D3 | — | 20 | 2 | no | — |
| 656 | C2×D3 | — | 20 | 1 | no | — |
| 657 | C2×D3 | — | 40 | 2 | no | — |
| 658 | C2×D3 | — | 40 | 2 | no | — |
| 659 | C2×D3 | #4028 | 1 | 1 | yes | characteristic |
| 660 | C2×D3 | #4028 | 1 | 1 | yes | characteristic |
| 661 | C3×C4 | — | 2 | 2 | no | — |
| 662 | C3×C4 | — | 10 | 2 | no | — |
| 663 | C3×C4 | — | 20 | 1 | no | — |
| 664 | C3×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 665 | Dic3 | — | 2 | 2 | no | — |
| 666 | Dic3 | — | 10 | 2 | no | — |
| 667 | Dic3 | — | 20 | 1 | no | — |
| 668 | Dic3 | #4028 | 1 | 2 | yes | — |
| 669 | C2×C5 | — | 2 | 1 | no | — |
| 670 | C2×C5 | — | 3 | 2 | no | — |
| 671 | C2×C5 | — | 6 | 1 | no | — |
| 672 | C2×C5 | D3×#120 | 1 | 1 | yes | characteristic |
| 673 | D5 | — | 4 | 2 | no | — |
| 674 | D5 | — | 8 | 1 | no | — |
| 675 | D5 | — | 12 | 2 | no | — |
| 676 | D5 | — | 24 | 1 | no | — |
| 677 | C23 | — | 3 | 1 | no | — |
| 678 | C23 | — | 10 | 1 | no | — |
| 679 | C23 | — | 30 | 2 | no | — |
| 680 | C23 | — | 30 | 1 | no | — |
| 681 | C23 | — | 60 | 1 | no | — |
| 682 | C23 | — | 60 | 1 | no | — |
| 683 | C23 | — | 60 | 4 | no | — |
| 684 | Q8 | — | 2 | 2 | no | — |
| 685 | Q8 | — | 5 | 2 | no | — |
| 686 | Q8 | — | 6 | 4 | no | — |
| 687 | Q8 | — | 6 | 2 | no | — |
| 688 | Q8 | — | 10 | 2 | no | — |
| 689 | Q8 | — | 15 | 2 | no | — |
| 690 | Q8 | — | 30 | 2 | no | — |
| 691 | Q8 | — | 30 | 2 | no | — |
| 692 | Q8 | — | 30 | 4 | no | — |
| 693 | D4 | — | 5 | 2 | no | — |
| 694 | D4 | — | 10 | 2 | no | — |
| 695 | D4 | — | 10 | 2 | no | — |
| 696 | D4 | — | 10 | 2 | no | — |
| 697 | D4 | — | 15 | 2 | no | — |
| 698 | D4 | — | 30 | 2 | no | — |
| 699 | D4 | — | 30 | 2 | no | — |
| 700 | D4 | — | 30 | 4 | no | — |
| 701 | D4 | — | 30 | 2 | no | — |
| 702 | D4 | — | 30 | 2 | no | — |
| 703 | D4 | — | 30 | 2 | no | — |
| 704 | D4 | — | 30 | 2 | no | — |
| 705 | D4 | — | 60 | 2 | no | — |
| 706 | C2×C4 | — | 3 | 1 | no | — |
| 707 | C2×C4 | — | 3 | 2 | no | — |
| 708 | C2×C4 | — | 3 | 2 | no | — |
| 709 | C2×C4 | — | 3 | 2 | no | — |
| 710 | C2×C4 | — | 6 | 2 | no | — |
| 711 | C2×C4 | — | 6 | 2 | no | — |
| 712 | C2×C4 | — | 10 | 4 | no | — |
| 713 | C2×C4 | — | 10 | 2 | no | — |
| 714 | C2×C4 | — | 10 | 1 | no | — |
| 715 | C2×C4 | — | 30 | 4 | no | — |
| 716 | C2×C4 | — | 30 | 2 | no | — |
| 717 | C2×C4 | — | 30 | 2 | no | — |
| 718 | C2×C4 | — | 30 | 4 | no | — |
| 719 | C2×C4 | — | 30 | 4 | no | — |
| 720 | C2×C4 | — | 30 | 2 | no | — |
| 721 | C2×C4 | — | 30 | 2 | no | — |
| 722 | C2×C4 | — | 30 | 1 | no | — |
| 723 | C2×C4 | — | 60 | 2 | no | — |
| 724 | C2×C4 | D3×D20 | 1 | 2 | yes | — |
| 725 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 726 | C8 | — | 2 | 2 | no | — |
| 727 | C8 | — | 6 | 2 | no | — |
| 728 | C2×C3 | — | 2 | 1 | no | — |
| 729 | C2×C3 | — | 20 | 2 | no | — |
| 730 | C2×C3 | — | 40 | 1 | no | — |
| 731 | C2×C3 | C2×#4028 | 1 | 1 | yes | characteristic |
| 732 | D3 | — | 2 | 1 | no | — |
| 733 | D3 | — | 20 | 2 | no | — |
| 734 | D3 | — | 40 | 1 | no | — |
| 735 | D3 | #65042 | 1 | 2 | yes | direct product factor |
| 736 | C5 | D3×#454 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 737 | C22 | — | 3 | 1 | no | — |
| 738 | C22 | — | 3 | 1 | no | — |
| 739 | C22 | — | 6 | 2 | no | — |
| 740 | C22 | — | 10 | 2 | no | — |
| 741 | C22 | — | 20 | 2 | no | — |
| 742 | C22 | — | 20 | 1 | no | — |
| 743 | C22 | — | 30 | 2 | no | — |
| 744 | C22 | — | 60 | 2 | no | — |
| 745 | C22 | — | 60 | 4 | no | — |
| 746 | C22 | — | 60 | 1 | no | — |
| 747 | C22 | — | 120 | 2 | no | — |
| 748 | C22 | — | 120 | 2 | no | — |
| 749 | C22 | C2×D3×D20 | 1 | 1 | yes | characteristic |
| 750 | C4 | — | 2 | 2 | no | — |
| 751 | C4 | — | 3 | 2 | no | — |
| 752 | C4 | — | 6 | 2 | no | — |
| 753 | C4 | — | 10 | 2 | no | — |
| 754 | C4 | — | 20 | 1 | no | — |
| 755 | C4 | — | 30 | 2 | no | — |
| 756 | C4 | — | 60 | 1 | no | — |
| 757 | C4 | D3×D4×D5 | 1 | 2 | yes | — |
| 758 | C3 | C2×#65042 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 759 | C2 | — | 2 | 1 | no | — |
| 760 | C2 | — | 3 | 2 | no | — |
| 761 | C2 | — | 6 | 1 | no | — |
| 762 | C2 | — | 20 | 2 | no | — |
| 763 | C2 | — | 40 | 1 | no | — |
| 764 | C2 | — | 60 | 2 | no | — |
| 765 | C2 | — | 120 | 1 | no | — |
| 766 | C2 | D3×#4028 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D3×#4147 | C2 | semidirect |
| 2. D3×#4093 | C2 | semidirect |
| 3. D3×#4054 | C2 | semidirect |
| 4. #11750854 | C2 | semidirect |
| 5. C5×D3×#101 | C2 | semidirect |
| 6. C3×#65042 | C2 | semidirect |
| 7. #11749388 | C2 | semidirect |
| 8. #11749384 | C2 | semidirect |
| 9. #11748261 | C2 | semidirect |
| 10. #11748255 | C2 | semidirect |
| 11. D3×#3957 | C2 | semidirect |
| 13. #92098 | C22 | semidirect |
| 15. C3×#4147 | C22 | semidirect |
| 24. #92000 | C22 | semidirect |
| 25. #91836 | C22 | semidirect |
| 26. #91797 | C22 | semidirect |
| 28. C3×#4093 | C22 | semidirect |
| 29. C3×#4054 | C22 | semidirect |
| 33. #91375 | C22 | semidirect |
| 34. #91368 | C22 | semidirect |
| 35. #91312 | C22 | semidirect |
| 36. #91301 | C22 | semidirect |
| 41. C3×C5×#101 | C22 | semidirect |
| 42. #91109 | C22 | semidirect |
| 43. C5×#836 | C22 | semidirect |
| 44. C5×#824 | C22 | semidirect |
| 45. C3×#3957 | C22 | semidirect |
| 46. #90981 | C22 | semidirect |
| 47. #90976 | C22 | semidirect |
| 59. #65042 | D3 | direct (N × H) |
| 134. D3×#101 | D5 | semidirect |
| 141. #4147 | C2×D3 | semidirect |
| 152. #4093 | C2×D3 | semidirect |
| 160. #4054 | C2×D3 | semidirect |
| 165. C5×#101 | C2×D3 | semidirect |
| 169. #3957 | C2×D3 | semidirect |
| 251. C3×#101 | C2×D5 | semidirect |
| 253. #836 | C2×D5 | semidirect |
| 255. #824 | C2×D5 | semidirect |
| 502. #101 | D3×D5 | semidirect |
| 510. C5×D3 | #454 | semidirect |
| 647. C3×C5 | C2×#454 | semidirect |
| 735. D3 | #65042 | direct (N × H) |
| 736. C5 | D3×#454 | semidirect |
| 758. C3 | C2×#65042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D3×#4147 | 2 |
| D3×#4093 | 2 |
| D3×#4054 | 2 |
| #11750854 | 2 |
| C5×D3×#101 | 2 |
| C3×#65042 | 2 |
| #11749388 | 2 |
| #11749384 | 2 |
| #11748261 | 2 |
| #11748255 | 2 |
| D3×#3957 | 2 |
| C2×#65042 | 3 |
| D3×#454 | 5 |