Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1408 conjugacy classes of subgroups.
The subgroup lattice has 748 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11757148 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | D15×#137 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #11756434 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×C5×#455 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11751343 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11751306 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11751162 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11750927 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11750922 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11750847 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11750846 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10612024 | — | 3 | 1 | no | maximal, Hall |
| 13 | C3×C5×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 14 | #92101 | — | 2 | 2 | no | — |
| 15 | #92101 | C22 | 1 | 2 | yes | — |
| 16 | #41×D15 | — | 2 | 2 | no | — |
| 17 | #41×D15 | C22 | 1 | 2 | yes | — |
| 18 | C2×Q8×D15 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #92095 | — | 2 | 2 | no | — |
| 20 | #92095 | — | 2 | 2 | no | — |
| 21 | #92095 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#6819 | — | 2 | 2 | no | — |
| 23 | C2×#6819 | — | 2 | 2 | no | — |
| 24 | C2×#6819 | C22 | 1 | 1 | yes | characteristic |
| 25 | C3×C5×#137 | C22 | 1 | 2 | yes | complemented |
| 26 | C3×C5×#124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #91840 | C22 | 1 | 2 | yes | complemented |
| 28 | #91833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #91831 | C22 | 1 | 2 | yes | complemented |
| 30 | #91825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #91807 | — | 2 | 2 | no | — |
| 32 | Q16×D15 | — | 2 | 2 | no | — |
| 33 | #91804 | — | 2 | 2 | no | — |
| 34 | SD16×D15 | — | 2 | 2 | no | — |
| 35 | #91798 | C22 | 1 | 2 | yes | complemented |
| 36 | M16×D15 | C22 | 1 | 2 | yes | complemented |
| 37 | #91772 | — | 2 | 2 | no | — |
| 38 | #91767 | — | 2 | 2 | no | — |
| 39 | #91761 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #91758 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C3×C5×#104 | C22 | 1 | 2 | yes | complemented |
| 42 | C3×C5×#100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #91121 | C22 | 1 | 2 | yes | complemented |
| 44 | #91117 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #91109 | C22 | 1 | 2 | yes | complemented |
| 46 | #91108 | C22 | 1 | 2 | yes | complemented |
| 47 | #91089 | C22 | 1 | 2 | yes | complemented |
| 48 | #80293 | — | 5 | 1 | no | maximal, Hall |
| 49 | #66285 | — | 3 | 1 | no | — |
| 50 | D5×#137 | — | 3 | 2 | no | — |
| 51 | #66009 | — | 3 | 1 | no | — |
| 52 | C5×#455 | D3 | 1 | 1 | yes | characteristic, complemented |
| 53 | #65531 | — | 3 | 1 | no | — |
| 54 | #65494 | — | 3 | 2 | no | — |
| 55 | #65350 | — | 3 | 1 | no | — |
| 56 | #65115 | — | 3 | 2 | no | — |
| 57 | #65110 | — | 3 | 2 | no | — |
| 58 | #65035 | — | 3 | 1 | no | — |
| 59 | #65034 | — | 3 | 1 | no | — |
| 60 | C3×C5×#41 | — | 2 | 2 | no | — |
| 61 | C3×C5×#41 | C23 | 1 | 2 | yes | — |
| 62 | C2×C3×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×C3×C5×D4 | — | 2 | 2 | no | — |
| 64 | C2×C3×C5×D4 | — | 2 | 2 | no | — |
| 65 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×#1220 | — | 2 | 4 | no | — |
| 67 | C2×#1220 | — | 2 | 2 | no | — |
| 68 | C2×#1220 | — | 2 | 2 | no | — |
| 69 | C2×#1220 | D4 | 1 | 2 | yes | — |
| 70 | C22×Dic15 | — | 2 | 2 | no | — |
| 71 | C22×Dic15 | D4 | 1 | 2 | yes | — |
| 72 | #6821 | D4 | 1 | 2 | yes | — |
| 73 | Q8×D15 | — | 2 | 2 | no | — |
| 74 | Q8×D15 | — | 2 | 2 | no | — |
| 75 | Q8×D15 | — | 2 | 2 | no | — |
| 76 | Q8×D15 | D4 | 1 | 2 | yes | — |
| 77 | #6819 | — | 2 | 4 | no | — |
| 78 | #6819 | — | 2 | 4 | no | — |
| 79 | #6819 | — | 2 | 4 | no | — |
| 80 | #6819 | — | 2 | 2 | no | — |
| 81 | #6819 | — | 2 | 2 | no | — |
| 82 | #6819 | — | 2 | 4 | no | — |
| 83 | #6819 | — | 2 | 2 | no | — |
| 84 | #6819 | — | 2 | 2 | no | — |
| 85 | #6819 | — | 2 | 2 | no | — |
| 86 | #6819 | D4 | 1 | 2 | yes | — |
| 87 | D4×D15 | — | 2 | 4 | no | — |
| 88 | D4×D15 | — | 2 | 2 | no | — |
| 89 | D4×D15 | — | 2 | 2 | no | — |
| 90 | D4×D15 | D4 | 1 | 2 | yes | — |
| 91 | #6817 | — | 2 | 4 | no | — |
| 92 | #6817 | — | 2 | 2 | no | — |
| 93 | #6817 | — | 2 | 2 | no | — |
| 94 | #6817 | C23 | 1 | 2 | yes | — |
| 95 | C2×C4×D15 | — | 2 | 2 | no | — |
| 96 | C2×C4×D15 | — | 2 | 2 | no | — |
| 97 | C2×C4×D15 | — | 2 | 1 | no | — |
| 98 | C2×C4×D15 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×Dic30 | — | 2 | 2 | no | — |
| 100 | C2×Dic30 | — | 2 | 2 | no | — |
| 101 | C2×Dic30 | — | 2 | 1 | no | — |
| 102 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 103 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 104 | C3×C5×Q16 | — | 2 | 2 | no | — |
| 105 | C3×C5×SD16 | — | 2 | 2 | no | — |
| 106 | C3×C5×M16 | C23 | 1 | 2 | yes | — |
| 107 | C3×C5×C22⋊C4 | — | 2 | 2 | no | — |
| 108 | C3×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 109 | #6719 | — | 2 | 2 | no | — |
| 110 | #6718 | — | 2 | 2 | no | — |
| 111 | #6718 | — | 2 | 2 | no | — |
| 112 | #6717 | — | 2 | 2 | no | — |
| 113 | #6716 | — | 2 | 2 | no | — |
| 114 | #6714 | — | 2 | 1 | no | — |
| 115 | C4⋊Dic15 | — | 2 | 2 | no | — |
| 116 | #6712 | — | 2 | 1 | no | — |
| 117 | #6712 | — | 2 | 2 | no | — |
| 118 | C4×Dic15 | C23 | 1 | 1 | yes | characteristic |
| 119 | #6710 | C23 | 1 | 2 | yes | — |
| 120 | Dic60 | — | 2 | 2 | no | — |
| 121 | #6706 | — | 2 | 2 | no | — |
| 122 | #6705 | — | 2 | 2 | no | — |
| 123 | C8×D15 | — | 2 | 2 | no | — |
| 124 | #5966 | — | 5 | 1 | no | — |
| 125 | D3×#137 | — | 5 | 2 | no | — |
| 126 | #5675 | — | 5 | 1 | no | — |
| 127 | C3×#455 | D5 | 1 | 1 | yes | characteristic, complemented |
| 128 | #5242 | — | 5 | 1 | no | — |
| 129 | #5205 | — | 5 | 2 | no | — |
| 130 | #5061 | — | 5 | 1 | no | — |
| 131 | #4826 | — | 5 | 2 | no | — |
| 132 | #4821 | — | 5 | 2 | no | — |
| 133 | #4746 | — | 5 | 1 | no | — |
| 134 | #4745 | — | 5 | 1 | no | — |
| 135 | C5×H(5,𝔽2) | C2×D3 | 1 | 1 | yes | characteristic |
| 136 | #4150 | — | 3 | 2 | no | — |
| 137 | #4150 | — | 6 | 2 | no | — |
| 138 | D5×#41 | — | 3 | 2 | no | — |
| 139 | D5×#41 | — | 6 | 2 | no | — |
| 140 | C2×Q8×D5 | — | 3 | 1 | no | — |
| 141 | #4144 | — | 3 | 1 | no | — |
| 142 | #4144 | — | 6 | 2 | no | — |
| 143 | #4144 | — | 6 | 2 | no | — |
| 144 | C2×#711 | — | 3 | 1 | no | — |
| 145 | C2×#711 | — | 6 | 2 | no | — |
| 146 | C2×#711 | — | 6 | 2 | no | — |
| 147 | C5×#137 | C2×D3 | 1 | 2 | yes | complemented |
| 148 | C5×#124 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 149 | #4097 | — | 3 | 2 | no | — |
| 150 | #4090 | — | 3 | 1 | no | — |
| 151 | #4088 | — | 3 | 2 | no | — |
| 152 | #4082 | — | 3 | 1 | no | — |
| 153 | #4064 | — | 6 | 2 | no | — |
| 154 | D5×Q16 | — | 6 | 2 | no | — |
| 155 | #4061 | — | 6 | 2 | no | — |
| 156 | D5×SD16 | — | 6 | 2 | no | — |
| 157 | #4055 | — | 3 | 2 | no | — |
| 158 | D5×M16 | — | 3 | 2 | no | — |
| 159 | #4029 | — | 6 | 2 | no | — |
| 160 | #4024 | — | 6 | 2 | no | — |
| 161 | #4018 | — | 3 | 1 | no | — |
| 162 | #4015 | — | 3 | 1 | no | — |
| 163 | C5×#104 | C2×D3 | 1 | 2 | yes | complemented |
| 164 | C5×#100 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 165 | #3969 | — | 3 | 2 | no | — |
| 166 | #3965 | — | 3 | 1 | no | — |
| 167 | #3957 | — | 3 | 2 | no | — |
| 168 | #3956 | — | 3 | 2 | no | — |
| 169 | #3937 | — | 3 | 2 | no | — |
| 170 | #3022 | — | 15 | 1 | no | Sylow |
| 171 | C23×C3×C5 | — | 2 | 2 | no | — |
| 172 | C23×C3×C5 | C2×D4 | 1 | 2 | yes | — |
| 173 | C22×D15 | — | 2 | 2 | no | — |
| 174 | C22×D15 | — | 2 | 2 | no | — |
| 175 | C22×D15 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C3×C5×Q8 | — | 2 | 2 | no | — |
| 177 | C3×C5×Q8 | C2×D4 | 1 | 2 | yes | — |
| 178 | C3×C5×D4 | — | 2 | 4 | no | — |
| 179 | C3×C5×D4 | — | 2 | 2 | no | — |
| 180 | C3×C5×D4 | — | 2 | 2 | no | — |
| 181 | C3×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 182 | C2×C3×C4×C5 | — | 2 | 2 | no | — |
| 183 | C2×C3×C4×C5 | — | 2 | 2 | no | — |
| 184 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 185 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 186 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 187 | #1220 | — | 2 | 4 | no | — |
| 188 | #1220 | — | 2 | 4 | no | — |
| 189 | #1220 | — | 2 | 2 | no | — |
| 190 | #1220 | — | 2 | 4 | no | — |
| 191 | #1220 | — | 2 | 2 | no | — |
| 192 | #1220 | — | 2 | 2 | no | — |
| 193 | C2×Dic15 | — | 2 | 4 | no | — |
| 194 | C2×Dic15 | — | 2 | 2 | no | — |
| 195 | C2×Dic15 | — | 2 | 2 | no | — |
| 196 | C2×Dic15 | — | 2 | 2 | no | — |
| 197 | C2×Dic15 | — | 2 | 2 | no | — |
| 198 | C2×Dic15 | — | 2 | 1 | no | — |
| 199 | C2×Dic15 | — | 2 | 1 | no | — |
| 200 | C2×Dic15 | C2×D4 | 1 | 2 | yes | — |
| 201 | C2×Dic15 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | D60 | — | 2 | 2 | no | — |
| 203 | D60 | C2×D4 | 1 | 2 | yes | — |
| 204 | C4×D15 | — | 2 | 4 | no | — |
| 205 | C4×D15 | — | 2 | 2 | no | — |
| 206 | C4×D15 | — | 2 | 2 | no | — |
| 207 | C4×D15 | — | 2 | 2 | no | — |
| 208 | C4×D15 | — | 4 | 2 | no | — |
| 209 | C4×D15 | C2×D4 | 1 | 2 | yes | — |
| 210 | C4×D15 | C2×D4 | 1 | 2 | yes | — |
| 211 | Dic30 | — | 2 | 4 | no | — |
| 212 | Dic30 | — | 2 | 2 | no | — |
| 213 | Dic30 | — | 2 | 2 | no | — |
| 214 | Dic30 | — | 2 | 2 | no | — |
| 215 | Dic30 | — | 4 | 1 | no | — |
| 216 | Dic30 | — | 4 | 1 | no | — |
| 217 | Dic30 | C2×D4 | 1 | 2 | yes | — |
| 218 | C3×C5×C8 | — | 2 | 2 | no | — |
| 219 | C3⋊#168 | — | 2 | 2 | no | — |
| 220 | C3×H(5,𝔽2) | C2×D5 | 1 | 1 | yes | characteristic |
| 221 | #1010 | — | 5 | 2 | no | — |
| 222 | #1010 | — | 10 | 2 | no | — |
| 223 | D3×#41 | — | 5 | 2 | no | — |
| 224 | D3×#41 | — | 10 | 2 | no | — |
| 225 | C2×D3×Q8 | — | 5 | 1 | no | — |
| 226 | #1004 | — | 5 | 1 | no | — |
| 227 | #1004 | — | 10 | 2 | no | — |
| 228 | #1004 | — | 10 | 2 | no | — |
| 229 | C2×#237 | — | 5 | 1 | no | — |
| 230 | C2×#237 | — | 10 | 2 | no | — |
| 231 | C2×#237 | — | 10 | 2 | no | — |
| 232 | C3×#137 | C2×D5 | 1 | 2 | yes | complemented |
| 233 | C3×#124 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 234 | #951 | — | 5 | 2 | no | — |
| 235 | #944 | — | 5 | 1 | no | — |
| 236 | #942 | — | 5 | 2 | no | — |
| 237 | #936 | — | 5 | 1 | no | — |
| 238 | #918 | — | 10 | 2 | no | — |
| 239 | D3×Q16 | — | 10 | 2 | no | — |
| 240 | #915 | — | 10 | 2 | no | — |
| 241 | D3×SD16 | — | 10 | 2 | no | — |
| 242 | #909 | — | 5 | 2 | no | — |
| 243 | D3×M16 | — | 5 | 2 | no | — |
| 244 | #883 | — | 10 | 2 | no | — |
| 245 | #878 | — | 10 | 2 | no | — |
| 246 | #872 | — | 5 | 1 | no | — |
| 247 | #869 | — | 5 | 1 | no | — |
| 248 | C3×#104 | C2×D5 | 1 | 2 | yes | complemented |
| 249 | C3×#100 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 250 | #837 | — | 5 | 2 | no | — |
| 251 | #833 | — | 5 | 1 | no | — |
| 252 | #825 | — | 5 | 2 | no | — |
| 253 | #824 | — | 5 | 2 | no | — |
| 254 | #805 | — | 5 | 2 | no | — |
| 255 | C5×#41 | — | 2 | 2 | no | — |
| 256 | C5×#41 | C22×D3 | 1 | 2 | yes | — |
| 257 | C2×C5×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 258 | C2×C5×D4 | — | 2 | 2 | no | — |
| 259 | C2×C5×D4 | — | 2 | 2 | no | — |
| 260 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 261 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 262 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 263 | C2×C22⋊D5 | — | 6 | 4 | no | — |
| 264 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 265 | C22×Dic5 | — | 3 | 2 | no | — |
| 266 | C22×Dic5 | — | 6 | 2 | no | — |
| 267 | #713 | — | 3 | 2 | no | — |
| 268 | Q8×D5 | — | 3 | 2 | no | — |
| 269 | Q8×D5 | — | 6 | 2 | no | — |
| 270 | Q8×D5 | — | 6 | 2 | no | — |
| 271 | Q8×D5 | — | 6 | 2 | no | — |
| 272 | #711 | — | 3 | 2 | no | — |
| 273 | #711 | — | 6 | 2 | no | — |
| 274 | #711 | — | 6 | 2 | no | — |
| 275 | #711 | — | 6 | 2 | no | — |
| 276 | #711 | — | 6 | 2 | no | — |
| 277 | #711 | — | 6 | 4 | no | — |
| 278 | #711 | — | 6 | 4 | no | — |
| 279 | #711 | — | 6 | 4 | no | — |
| 280 | #711 | — | 6 | 4 | no | — |
| 281 | #711 | — | 6 | 2 | no | — |
| 282 | D4×D5 | — | 3 | 2 | no | — |
| 283 | D4×D5 | — | 6 | 2 | no | — |
| 284 | D4×D5 | — | 6 | 2 | no | — |
| 285 | D4×D5 | — | 6 | 4 | no | — |
| 286 | #709 | — | 3 | 2 | no | — |
| 287 | #709 | — | 6 | 2 | no | — |
| 288 | #709 | — | 6 | 2 | no | — |
| 289 | #709 | — | 6 | 4 | no | — |
| 290 | C2×C4×D5 | — | 3 | 1 | no | — |
| 291 | C2×C4×D5 | — | 6 | 2 | no | — |
| 292 | C2×C4×D5 | — | 6 | 2 | no | — |
| 293 | C2×C4×D5 | — | 6 | 1 | no | — |
| 294 | C2×Dic10 | — | 3 | 1 | no | — |
| 295 | C2×Dic10 | — | 3 | 1 | no | — |
| 296 | C2×Dic10 | — | 6 | 2 | no | — |
| 297 | C2×Dic10 | — | 6 | 2 | no | — |
| 298 | C2×Dic10 | — | 6 | 1 | no | — |
| 299 | C5×Q16 | — | 2 | 2 | no | — |
| 300 | C5×SD16 | — | 2 | 2 | no | — |
| 301 | C5×M16 | C22×D3 | 1 | 2 | yes | — |
| 302 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 303 | C42×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 304 | C22⋊Dic5 | — | 6 | 2 | no | — |
| 305 | #689 | — | 6 | 2 | no | — |
| 306 | #689 | — | 6 | 2 | no | — |
| 307 | #688 | — | 6 | 2 | no | — |
| 308 | #687 | — | 6 | 2 | no | — |
| 309 | #685 | — | 6 | 1 | no | — |
| 310 | C4⋊Dic5 | — | 6 | 2 | no | — |
| 311 | #683 | — | 6 | 1 | no | — |
| 312 | #683 | — | 6 | 2 | no | — |
| 313 | C4×Dic5 | — | 3 | 1 | no | — |
| 314 | #681 | — | 3 | 2 | no | — |
| 315 | Dic20 | — | 6 | 2 | no | — |
| 316 | #677 | — | 6 | 2 | no | — |
| 317 | #676 | — | 6 | 2 | no | — |
| 318 | C8×D5 | — | 6 | 2 | no | — |
| 319 | #585 | — | 15 | 1 | no | — |
| 320 | C2×#137 | — | 15 | 2 | no | — |
| 321 | #536 | — | 15 | 1 | no | — |
| 322 | #456 | — | 15 | 2 | no | — |
| 323 | #456 | — | 15 | 2 | no | — |
| 324 | #455 | — | 15 | 1 | no | — |
| 325 | #455 | — | 15 | 1 | no | — |
| 326 | #455 | — | 15 | 1 | no | — |
| 327 | #455 | D15 | 1 | 1 | yes | characteristic, complemented |
| 328 | #421 | — | 15 | 2 | no | — |
| 329 | #413 | — | 15 | 1 | no | — |
| 330 | C22×C3×C5 | — | 2 | 2 | no | — |
| 331 | C22×C3×C5 | — | 2 | 2 | no | — |
| 332 | C22×C3×C5 | — | 4 | 2 | no | — |
| 333 | C22×C3×C5 | — | 8 | 2 | no | — |
| 334 | C22×C3×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 335 | C2×D15 | — | 2 | 2 | no | — |
| 336 | C2×D15 | — | 4 | 1 | no | — |
| 337 | C2×D15 | — | 8 | 2 | no | — |
| 338 | C2×D15 | — | 8 | 2 | no | — |
| 339 | C2×D15 | #120 | 1 | 2 | yes | — |
| 340 | C3×C4×C5 | — | 2 | 2 | no | — |
| 341 | C3×C4×C5 | — | 4 | 1 | no | — |
| 342 | C3×C4×C5 | — | 4 | 1 | no | — |
| 343 | C3×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 344 | Dic15 | — | 2 | 2 | no | — |
| 345 | Dic15 | — | 2 | 2 | no | — |
| 346 | Dic15 | — | 4 | 1 | no | — |
| 347 | Dic15 | — | 4 | 1 | no | — |
| 348 | Dic15 | #120 | 1 | 1 | yes | characteristic |
| 349 | Dic15 | #120 | 1 | 1 | yes | characteristic |
| 350 | C3×#41 | — | 2 | 2 | no | — |
| 351 | C3×#41 | C22×D5 | 1 | 2 | yes | — |
| 352 | C2×C3×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 353 | C2×C3×D4 | — | 2 | 2 | no | — |
| 354 | C2×C3×D4 | — | 2 | 2 | no | — |
| 355 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 356 | C2×#67 | — | 5 | 2 | no | — |
| 357 | C2×#67 | — | 10 | 2 | no | — |
| 358 | C2×#67 | — | 10 | 4 | no | — |
| 359 | C2×#67 | — | 10 | 2 | no | — |
| 360 | C22×Dic3 | — | 5 | 2 | no | — |
| 361 | C22×Dic3 | — | 10 | 2 | no | — |
| 362 | #239 | — | 5 | 2 | no | — |
| 363 | D3×Q8 | — | 5 | 2 | no | — |
| 364 | D3×Q8 | — | 10 | 2 | no | — |
| 365 | D3×Q8 | — | 10 | 2 | no | — |
| 366 | D3×Q8 | — | 10 | 2 | no | — |
| 367 | #237 | — | 5 | 2 | no | — |
| 368 | #237 | — | 10 | 2 | no | — |
| 369 | #237 | — | 10 | 2 | no | — |
| 370 | #237 | — | 10 | 2 | no | — |
| 371 | #237 | — | 10 | 2 | no | — |
| 372 | #237 | — | 10 | 4 | no | — |
| 373 | #237 | — | 10 | 4 | no | — |
| 374 | #237 | — | 10 | 4 | no | — |
| 375 | #237 | — | 10 | 4 | no | — |
| 376 | #237 | — | 10 | 2 | no | — |
| 377 | D3×D4 | — | 5 | 2 | no | — |
| 378 | D3×D4 | — | 10 | 2 | no | — |
| 379 | D3×D4 | — | 10 | 2 | no | — |
| 380 | D3×D4 | — | 10 | 4 | no | — |
| 381 | #235 | — | 5 | 2 | no | — |
| 382 | #235 | — | 10 | 2 | no | — |
| 383 | #235 | — | 10 | 2 | no | — |
| 384 | #235 | — | 10 | 4 | no | — |
| 385 | C2×C4×D3 | — | 5 | 1 | no | — |
| 386 | C2×C4×D3 | — | 10 | 2 | no | — |
| 387 | C2×C4×D3 | — | 10 | 2 | no | — |
| 388 | C2×C4×D3 | — | 10 | 1 | no | — |
| 389 | C2×Dic6 | — | 5 | 1 | no | — |
| 390 | C2×Dic6 | — | 5 | 1 | no | — |
| 391 | C2×Dic6 | — | 10 | 2 | no | — |
| 392 | C2×Dic6 | — | 10 | 2 | no | — |
| 393 | C2×Dic6 | — | 10 | 1 | no | — |
| 394 | C3×Q16 | — | 2 | 2 | no | — |
| 395 | C3×SD16 | — | 2 | 2 | no | — |
| 396 | C3×M16 | C22×D5 | 1 | 2 | yes | — |
| 397 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 398 | C3×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 399 | #217 | — | 10 | 2 | no | — |
| 400 | #216 | — | 10 | 2 | no | — |
| 401 | #216 | — | 10 | 2 | no | — |
| 402 | #215 | — | 10 | 2 | no | — |
| 403 | #214 | — | 10 | 2 | no | — |
| 404 | (C2×D3)⋊C4 | — | 10 | 1 | no | — |
| 405 | C4⋊Dic3 | — | 10 | 2 | no | — |
| 406 | Dic3⋊C4 | — | 10 | 1 | no | — |
| 407 | Dic3⋊C4 | — | 10 | 2 | no | — |
| 408 | C4×Dic3 | — | 5 | 1 | no | — |
| 409 | #208 | — | 5 | 2 | no | — |
| 410 | Dic12 | — | 10 | 2 | no | — |
| 411 | #204 | — | 10 | 2 | no | — |
| 412 | ΓL(1,𝔽25) | — | 10 | 2 | no | — |
| 413 | D3×C8 | — | 10 | 2 | no | — |
| 414 | C23×C5 | — | 2 | 2 | no | — |
| 415 | C23×C5 | D3×D4 | 1 | 2 | yes | — |
| 416 | C22×D5 | — | 3 | 1 | no | — |
| 417 | C22×D5 | — | 6 | 2 | no | — |
| 418 | C22×D5 | — | 6 | 2 | no | — |
| 419 | C5×Q8 | — | 2 | 2 | no | — |
| 420 | C5×Q8 | D3×D4 | 1 | 2 | yes | — |
| 421 | C5×D4 | — | 2 | 4 | no | — |
| 422 | C5×D4 | — | 2 | 2 | no | — |
| 423 | C5×D4 | — | 2 | 2 | no | — |
| 424 | C5×D4 | D3×D4 | 1 | 2 | yes | — |
| 425 | C2×C4×C5 | — | 2 | 2 | no | — |
| 426 | C2×C4×C5 | — | 2 | 2 | no | — |
| 427 | C2×C4×C5 | — | 2 | 1 | no | — |
| 428 | C2×C4×C5 | — | 2 | 1 | no | — |
| 429 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 430 | C22⋊D5 | — | 6 | 2 | no | — |
| 431 | C22⋊D5 | — | 6 | 2 | no | — |
| 432 | C22⋊D5 | — | 6 | 4 | no | — |
| 433 | C22⋊D5 | — | 6 | 4 | no | — |
| 434 | C22⋊D5 | — | 6 | 4 | no | — |
| 435 | C22⋊D5 | — | 6 | 2 | no | — |
| 436 | C2×Dic5 | — | 3 | 1 | no | — |
| 437 | C2×Dic5 | — | 3 | 2 | no | — |
| 438 | C2×Dic5 | — | 6 | 2 | no | — |
| 439 | C2×Dic5 | — | 6 | 2 | no | — |
| 440 | C2×Dic5 | — | 6 | 2 | no | — |
| 441 | C2×Dic5 | — | 6 | 2 | no | — |
| 442 | C2×Dic5 | — | 6 | 4 | no | — |
| 443 | C2×Dic5 | — | 6 | 1 | no | — |
| 444 | C2×Dic5 | — | 6 | 1 | no | — |
| 445 | D20 | — | 3 | 2 | no | — |
| 446 | D20 | — | 6 | 2 | no | — |
| 447 | C4×D5 | — | 3 | 2 | no | — |
| 448 | C4×D5 | — | 3 | 2 | no | — |
| 449 | C4×D5 | — | 6 | 2 | no | — |
| 450 | C4×D5 | — | 6 | 2 | no | — |
| 451 | C4×D5 | — | 6 | 4 | no | — |
| 452 | C4×D5 | — | 6 | 2 | no | — |
| 453 | C4×D5 | — | 12 | 2 | no | — |
| 454 | Dic10 | — | 3 | 2 | no | — |
| 455 | Dic10 | — | 6 | 2 | no | — |
| 456 | Dic10 | — | 6 | 4 | no | — |
| 457 | Dic10 | — | 6 | 2 | no | — |
| 458 | Dic10 | — | 6 | 2 | no | — |
| 459 | Dic10 | — | 12 | 1 | no | — |
| 460 | Dic10 | — | 12 | 1 | no | — |
| 461 | C5×C8 | — | 2 | 2 | no | — |
| 462 | #168 | — | 6 | 2 | no | — |
| 463 | 2−1+4 | — | 15 | 2 | no | — |
| 464 | 2−1+4 | — | 30 | 2 | no | — |
| 465 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 466 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 467 | H(5,𝔽2) | — | 30 | 2 | no | — |
| 468 | H(5,𝔽2) | C2×D15 | 1 | 1 | yes | characteristic |
| 469 | C2×#41 | — | 15 | 1 | no | — |
| 470 | C2×#41 | — | 15 | 2 | no | — |
| 471 | C2×#41 | — | 30 | 2 | no | — |
| 472 | C2×#41 | — | 30 | 2 | no | — |
| 473 | C2×#41 | — | 30 | 2 | no | — |
| 474 | C22×Q8 | — | 15 | 1 | no | — |
| 475 | #137 | — | 15 | 2 | no | — |
| 476 | #137 | — | 15 | 2 | no | — |
| 477 | #137 | — | 15 | 2 | no | — |
| 478 | #137 | — | 30 | 2 | no | — |
| 479 | #137 | — | 30 | 2 | no | — |
| 480 | #137 | C2×D15 | 1 | 2 | yes | complemented |
| 481 | C2×Q16 | — | 30 | 2 | no | — |
| 482 | C2×SD16 | — | 30 | 2 | no | — |
| 483 | C2×M16 | — | 15 | 2 | no | — |
| 484 | C4⋊Q8 | — | 15 | 1 | no | — |
| 485 | C4⋊Q8 | — | 15 | 1 | no | — |
| 486 | #124 | — | 15 | 1 | no | — |
| 487 | #124 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 488 | #123 | — | 30 | 2 | no | — |
| 489 | C22⋊Q8 | — | 30 | 2 | no | — |
| 490 | #117 | — | 15 | 1 | no | — |
| 491 | #104 | — | 15 | 2 | no | — |
| 492 | #104 | — | 15 | 2 | no | — |
| 493 | #104 | — | 15 | 2 | no | — |
| 494 | #104 | C2×D15 | 1 | 2 | yes | complemented |
| 495 | #101 | — | 15 | 2 | no | — |
| 496 | #100 | — | 15 | 1 | no | — |
| 497 | #100 | C2×D15 | 1 | 1 | yes | characteristic, complemented |
| 498 | C2×C3×C5 | — | 2 | 1 | no | — |
| 499 | C2×C3×C5 | — | 4 | 2 | no | — |
| 500 | C2×C3×C5 | — | 4 | 2 | no | — |
| 501 | C2×C3×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 502 | D15 | — | 2 | 2 | no | — |
| 503 | D15 | — | 4 | 2 | no | — |
| 504 | C23×C3 | — | 2 | 2 | no | — |
| 505 | C23×C3 | D4×D5 | 1 | 2 | yes | — |
| 506 | C22×D3 | — | 5 | 1 | no | — |
| 507 | C22×D3 | — | 10 | 2 | no | — |
| 508 | C22×D3 | — | 10 | 2 | no | — |
| 509 | C3×Q8 | — | 2 | 2 | no | — |
| 510 | C3×Q8 | D4×D5 | 1 | 2 | yes | — |
| 511 | C3×D4 | — | 2 | 4 | no | — |
| 512 | C3×D4 | — | 2 | 2 | no | — |
| 513 | C3×D4 | — | 2 | 2 | no | — |
| 514 | C3×D4 | D4×D5 | 1 | 2 | yes | — |
| 515 | C2×C3×C4 | — | 2 | 2 | no | — |
| 516 | C2×C3×C4 | — | 2 | 2 | no | — |
| 517 | C2×C3×C4 | — | 2 | 1 | no | — |
| 518 | C2×C3×C4 | — | 2 | 1 | no | — |
| 519 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 520 | #67 | — | 10 | 2 | no | — |
| 521 | #67 | — | 10 | 2 | no | — |
| 522 | #67 | — | 10 | 4 | no | — |
| 523 | #67 | — | 10 | 4 | no | — |
| 524 | #67 | — | 10 | 4 | no | — |
| 525 | #67 | — | 10 | 2 | no | — |
| 526 | C2×Dic3 | — | 5 | 1 | no | — |
| 527 | C2×Dic3 | — | 5 | 2 | no | — |
| 528 | C2×Dic3 | — | 10 | 2 | no | — |
| 529 | C2×Dic3 | — | 10 | 2 | no | — |
| 530 | C2×Dic3 | — | 10 | 2 | no | — |
| 531 | C2×Dic3 | — | 10 | 2 | no | — |
| 532 | C2×Dic3 | — | 10 | 4 | no | — |
| 533 | C2×Dic3 | — | 10 | 1 | no | — |
| 534 | C2×Dic3 | — | 10 | 1 | no | — |
| 535 | D12 | — | 5 | 2 | no | — |
| 536 | D12 | — | 10 | 2 | no | — |
| 537 | C4×D3 | — | 5 | 2 | no | — |
| 538 | C4×D3 | — | 5 | 2 | no | — |
| 539 | C4×D3 | — | 10 | 2 | no | — |
| 540 | C4×D3 | — | 10 | 2 | no | — |
| 541 | C4×D3 | — | 10 | 4 | no | — |
| 542 | C4×D3 | — | 10 | 2 | no | — |
| 543 | C4×D3 | — | 20 | 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 | — | 20 | 1 | no | — |
| 550 | Dic6 | — | 20 | 1 | no | — |
| 551 | C3×C8 | — | 2 | 2 | no | — |
| 552 | C3⋊C8 | — | 10 | 2 | no | — |
| 553 | C22×C5 | — | 2 | 2 | no | — |
| 554 | C22×C5 | — | 2 | 2 | no | — |
| 555 | C22×C5 | — | 4 | 2 | no | — |
| 556 | C22×C5 | — | 8 | 2 | no | — |
| 557 | C22×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 558 | C2×D5 | — | 3 | 2 | no | — |
| 559 | C2×D5 | — | 6 | 2 | no | — |
| 560 | C2×D5 | — | 12 | 1 | no | — |
| 561 | C2×D5 | — | 24 | 2 | no | — |
| 562 | C2×D5 | — | 24 | 2 | no | — |
| 563 | C4×C5 | — | 2 | 2 | no | — |
| 564 | C4×C5 | — | 4 | 1 | no | — |
| 565 | C4×C5 | — | 4 | 1 | no | — |
| 566 | C4×C5 | C2×D3×D4 | 1 | 2 | yes | — |
| 567 | Dic5 | — | 3 | 1 | no | — |
| 568 | Dic5 | — | 3 | 1 | no | — |
| 569 | Dic5 | — | 6 | 2 | no | — |
| 570 | Dic5 | — | 6 | 2 | no | — |
| 571 | Dic5 | — | 12 | 1 | no | — |
| 572 | Dic5 | — | 12 | 1 | no | — |
| 573 | #41 | — | 2 | 2 | no | — |
| 574 | #41 | — | 15 | 2 | no | — |
| 575 | #41 | — | 15 | 2 | no | — |
| 576 | #41 | — | 15 | 2 | no | — |
| 577 | #41 | — | 30 | 2 | no | — |
| 578 | #41 | — | 30 | 2 | no | — |
| 579 | #41 | — | 30 | 4 | no | — |
| 580 | #41 | — | 30 | 2 | no | — |
| 581 | #41 | — | 30 | 2 | no | — |
| 582 | #41 | — | 30 | 2 | no | — |
| 583 | #41 | — | 30 | 4 | no | — |
| 584 | #41 | — | 30 | 2 | no | — |
| 585 | #41 | — | 30 | 4 | no | — |
| 586 | #41 | — | 30 | 4 | no | — |
| 587 | #41 | — | 30 | 4 | no | — |
| 588 | #41 | — | 30 | 2 | no | — |
| 589 | #41 | C22×D15 | 1 | 2 | yes | — |
| 590 | C2×Q8 | — | 15 | 1 | no | — |
| 591 | C2×Q8 | — | 15 | 2 | no | — |
| 592 | C2×Q8 | — | 15 | 1 | no | — |
| 593 | C2×Q8 | — | 30 | 1 | no | — |
| 594 | C2×Q8 | — | 30 | 2 | no | — |
| 595 | C2×Q8 | — | 30 | 2 | no | — |
| 596 | C2×Q8 | — | 30 | 2 | no | — |
| 597 | C2×Q8 | — | 30 | 2 | no | — |
| 598 | C2×Q8 | — | 30 | 2 | no | — |
| 599 | C2×Q8 | C22×D15 | 1 | 1 | yes | characteristic |
| 600 | C2×D4 | — | 2 | 2 | no | — |
| 601 | C2×D4 | — | 2 | 2 | no | — |
| 602 | C2×D4 | — | 15 | 2 | no | — |
| 603 | C2×D4 | — | 15 | 2 | no | — |
| 604 | C2×D4 | — | 30 | 2 | no | — |
| 605 | C2×D4 | — | 30 | 2 | no | — |
| 606 | C2×D4 | — | 30 | 4 | no | — |
| 607 | C2×D4 | — | 30 | 2 | no | — |
| 608 | C2×D4 | — | 30 | 4 | no | — |
| 609 | C2×D4 | — | 30 | 2 | no | — |
| 610 | C2×D4 | C22×D15 | 1 | 1 | yes | characteristic |
| 611 | C22×C4 | — | 15 | 1 | no | — |
| 612 | C22×C4 | — | 15 | 2 | no | — |
| 613 | C22×C4 | — | 30 | 2 | no | — |
| 614 | C22×C4 | — | 30 | 2 | no | — |
| 615 | C22×C4 | — | 30 | 1 | no | — |
| 616 | C22×C4 | — | 30 | 2 | no | — |
| 617 | Q16 | — | 2 | 2 | no | — |
| 618 | Q16 | — | 30 | 2 | no | — |
| 619 | Q16 | — | 30 | 2 | no | — |
| 620 | Q16 | — | 30 | 2 | no | — |
| 621 | SD16 | — | 2 | 2 | no | — |
| 622 | SD16 | — | 30 | 2 | no | — |
| 623 | SD16 | — | 30 | 2 | no | — |
| 624 | SD16 | — | 30 | 2 | no | — |
| 625 | M16 | — | 15 | 2 | no | — |
| 626 | M16 | — | 30 | 2 | no | — |
| 627 | M16 | C22×D15 | 1 | 2 | yes | — |
| 628 | C2×C8 | — | 30 | 2 | no | — |
| 629 | C4⋊C4 | — | 30 | 1 | no | — |
| 630 | C4⋊C4 | — | 30 | 2 | no | — |
| 631 | C4⋊C4 | — | 30 | 2 | no | — |
| 632 | C22⋊C4 | — | 2 | 2 | no | — |
| 633 | C22⋊C4 | — | 30 | 1 | no | — |
| 634 | C22⋊C4 | — | 30 | 2 | no | — |
| 635 | C42 | — | 15 | 1 | no | — |
| 636 | C42 | C22×D15 | 1 | 1 | yes | characteristic |
| 637 | C3×C5 | #3022 | 1 | 1 | yes | characteristic, complemented, Hall |
| 638 | C22×C3 | — | 2 | 2 | no | — |
| 639 | C22×C3 | — | 2 | 2 | no | — |
| 640 | C22×C3 | — | 4 | 2 | no | — |
| 641 | C22×C3 | — | 8 | 2 | no | — |
| 642 | C22×C3 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 643 | C2×D3 | — | 5 | 2 | no | — |
| 644 | C2×D3 | — | 10 | 2 | no | — |
| 645 | C2×D3 | — | 20 | 1 | no | — |
| 646 | C2×D3 | — | 40 | 2 | no | — |
| 647 | C2×D3 | — | 40 | 2 | no | — |
| 648 | C3×C4 | — | 2 | 2 | no | — |
| 649 | C3×C4 | — | 4 | 1 | no | — |
| 650 | C3×C4 | — | 4 | 1 | no | — |
| 651 | C3×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 652 | Dic3 | — | 5 | 1 | no | — |
| 653 | Dic3 | — | 5 | 1 | no | — |
| 654 | Dic3 | — | 10 | 2 | no | — |
| 655 | Dic3 | — | 10 | 2 | no | — |
| 656 | Dic3 | — | 20 | 1 | no | — |
| 657 | Dic3 | — | 20 | 1 | no | — |
| 658 | C2×C5 | — | 2 | 1 | no | — |
| 659 | C2×C5 | — | 4 | 2 | no | — |
| 660 | C2×C5 | — | 4 | 2 | no | — |
| 661 | C2×C5 | D3×#120 | 1 | 1 | yes | characteristic |
| 662 | D5 | — | 6 | 2 | no | — |
| 663 | D5 | — | 12 | 2 | no | — |
| 664 | C23 | — | 2 | 2 | no | — |
| 665 | C23 | — | 15 | 1 | no | — |
| 666 | C23 | — | 30 | 2 | no | — |
| 667 | C23 | — | 30 | 2 | no | — |
| 668 | C23 | D4×D15 | 1 | 2 | yes | — |
| 669 | Q8 | — | 2 | 2 | no | — |
| 670 | Q8 | — | 15 | 2 | no | — |
| 671 | Q8 | — | 30 | 2 | no | — |
| 672 | Q8 | — | 30 | 4 | no | — |
| 673 | Q8 | — | 30 | 2 | no | — |
| 674 | Q8 | — | 30 | 2 | no | — |
| 675 | Q8 | — | 60 | 1 | no | — |
| 676 | Q8 | — | 60 | 1 | no | — |
| 677 | Q8 | D4×D15 | 1 | 2 | yes | — |
| 678 | D4 | — | 2 | 4 | no | — |
| 679 | D4 | — | 2 | 2 | no | — |
| 680 | D4 | — | 2 | 2 | no | — |
| 681 | D4 | — | 15 | 2 | no | — |
| 682 | D4 | — | 30 | 2 | no | — |
| 683 | D4 | — | 30 | 2 | no | — |
| 684 | D4 | — | 30 | 4 | no | — |
| 685 | D4 | — | 30 | 2 | no | — |
| 686 | D4 | — | 30 | 4 | no | — |
| 687 | D4 | — | 30 | 4 | no | — |
| 688 | D4 | — | 30 | 2 | no | — |
| 689 | D4 | D4×D15 | 1 | 2 | yes | — |
| 690 | C2×C4 | — | 2 | 2 | no | — |
| 691 | C2×C4 | — | 2 | 2 | no | — |
| 692 | C2×C4 | — | 2 | 1 | no | — |
| 693 | C2×C4 | — | 2 | 1 | no | — |
| 694 | C2×C4 | — | 15 | 1 | no | — |
| 695 | C2×C4 | — | 15 | 2 | no | — |
| 696 | C2×C4 | — | 15 | 2 | no | — |
| 697 | C2×C4 | — | 15 | 2 | no | — |
| 698 | C2×C4 | — | 30 | 2 | no | — |
| 699 | C2×C4 | — | 30 | 2 | no | — |
| 700 | C2×C4 | — | 30 | 4 | no | — |
| 701 | C2×C4 | — | 30 | 2 | no | — |
| 702 | C2×C4 | — | 30 | 2 | no | — |
| 703 | C2×C4 | — | 30 | 2 | no | — |
| 704 | C2×C4 | — | 30 | 4 | no | — |
| 705 | C2×C4 | — | 30 | 2 | no | — |
| 706 | C2×C4 | — | 30 | 2 | no | — |
| 707 | C2×C4 | — | 30 | 1 | no | — |
| 708 | C2×C4 | — | 30 | 1 | no | — |
| 709 | C2×C4 | — | 60 | 2 | no | — |
| 710 | C2×C4 | C23×D15 | 1 | 1 | yes | characteristic |
| 711 | C8 | — | 2 | 2 | no | — |
| 712 | C8 | — | 30 | 2 | no | — |
| 713 | C2×C3 | — | 2 | 1 | no | — |
| 714 | C2×C3 | — | 4 | 2 | no | — |
| 715 | C2×C3 | — | 4 | 2 | no | — |
| 716 | C2×C3 | D5×#120 | 1 | 1 | yes | characteristic |
| 717 | D3 | — | 10 | 2 | no | — |
| 718 | D3 | — | 20 | 2 | no | — |
| 719 | C5 | #80293 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 720 | C22 | — | 2 | 2 | no | — |
| 721 | C22 | — | 2 | 2 | no | — |
| 722 | C22 | — | 4 | 2 | no | — |
| 723 | C22 | — | 8 | 2 | no | — |
| 724 | C22 | — | 15 | 2 | no | — |
| 725 | C22 | — | 30 | 2 | no | — |
| 726 | C22 | — | 60 | 1 | no | — |
| 727 | C22 | — | 120 | 2 | no | — |
| 728 | C22 | — | 120 | 2 | no | — |
| 729 | C22 | C2×D4×D15 | 1 | 1 | yes | characteristic |
| 730 | C4 | — | 2 | 2 | no | — |
| 731 | C4 | — | 4 | 1 | no | — |
| 732 | C4 | — | 4 | 1 | no | — |
| 733 | C4 | — | 15 | 1 | no | — |
| 734 | C4 | — | 15 | 1 | no | — |
| 735 | C4 | — | 30 | 2 | no | — |
| 736 | C4 | — | 30 | 2 | no | — |
| 737 | C4 | — | 60 | 1 | no | — |
| 738 | C4 | — | 60 | 1 | no | — |
| 739 | C4 | C2×D4×D15 | 1 | 2 | yes | — |
| 740 | C3 | #10612024 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 741 | C2 | — | 2 | 1 | no | — |
| 742 | C2 | — | 4 | 2 | no | — |
| 743 | C2 | — | 4 | 2 | no | — |
| 744 | C2 | — | 30 | 2 | no | — |
| 745 | C2 | — | 60 | 2 | no | — |
| 746 | C2 | D15×#120 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. D15×#137 | C2 | semidirect |
| 3. #11756434 | C2 | semidirect |
| 4. C3×C5×#455 | C2 | semidirect |
| 5. #11751343 | C2 | semidirect |
| 6. #11751306 | C2 | semidirect |
| 7. #11751162 | C2 | semidirect |
| 8. #11750927 | C2 | semidirect |
| 9. #11750922 | C2 | semidirect |
| 10. #11750847 | C2 | semidirect |
| 11. #11750846 | C2 | semidirect |
| 18. C2×Q8×D15 | C22 | semidirect |
| 25. C3×C5×#137 | C22 | semidirect |
| 26. C3×C5×#124 | C22 | semidirect |
| 27. #91840 | C22 | semidirect |
| 28. #91833 | C22 | semidirect |
| 29. #91831 | C22 | semidirect |
| 30. #91825 | C22 | semidirect |
| 35. #91798 | C22 | semidirect |
| 36. M16×D15 | C22 | semidirect |
| 39. #91761 | C22 | semidirect |
| 40. #91758 | C22 | semidirect |
| 41. C3×C5×#104 | C22 | semidirect |
| 42. C3×C5×#100 | C22 | semidirect |
| 43. #91121 | C22 | semidirect |
| 44. #91117 | C22 | semidirect |
| 45. #91109 | C22 | semidirect |
| 46. #91108 | C22 | semidirect |
| 47. #91089 | C22 | semidirect |
| 52. C5×#455 | D3 | semidirect |
| 127. C3×#455 | D5 | semidirect |
| 147. C5×#137 | C2×D3 | semidirect |
| 148. C5×#124 | C2×D3 | semidirect |
| 163. C5×#104 | C2×D3 | semidirect |
| 164. C5×#100 | C2×D3 | semidirect |
| 232. C3×#137 | C2×D5 | semidirect |
| 233. C3×#124 | C2×D5 | semidirect |
| 248. C3×#104 | C2×D5 | semidirect |
| 249. C3×#100 | C2×D5 | semidirect |
| 327. #455 | D15 | semidirect |
| 480. #137 | C2×D15 | semidirect |
| 487. #124 | C2×D15 | semidirect |
| 494. #104 | C2×D15 | semidirect |
| 497. #100 | C2×D15 | semidirect |
| 637. C3×C5 | #3022 | semidirect |
| 719. C5 | #80293 | semidirect |
| 740. C3 | #10612024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11757148 | 2 |
| D15×#137 | 2 |
| #11756434 | 2 |
| C3×C5×#455 | 2 |
| #11751343 | 2 |
| #11751306 | 2 |
| #11751162 | 2 |
| #11750927 | 2 |
| #11750922 | 2 |
| #11750847 | 2 |
| #11750846 | 2 |
| #10612024 | 3 |
| #80293 | 5 |