Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
928 conjugacy classes of subgroups.
The subgroup lattice has 924 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11754720 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11754697 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11754038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11754023 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11750849 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C5×#4747 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#65038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11749165 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11749071 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11748254 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11748250 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11748213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11748202 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11748189 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11748177 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10612011 | — | 3 | 1 | no | maximal, Hall |
| 17 | C5×#1004 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #92018 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #92017 | C22 | 1 | 1 | yes | characteristic |
| 20 | #92001 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#6716 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #91821 | C22 | 1 | 1 | yes | characteristic |
| 23 | #91798 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #91796 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C5×#940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C5×#908 | C22 | 1 | 1 | yes | characteristic |
| 27 | C5×#908 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×#4078 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C2×C3×#686 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C3×#4054 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3×#4053 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #91494 | — | 2 | 1 | no | — |
| 33 | #91494 | — | 2 | 1 | no | — |
| 34 | #91493 | — | 2 | 1 | no | — |
| 35 | #91493 | — | 2 | 1 | no | — |
| 36 | #91486 | — | 2 | 1 | no | — |
| 37 | D3×#687 | — | 2 | 1 | no | — |
| 38 | #91480 | — | 2 | 1 | no | — |
| 39 | D3×#686 | — | 2 | 1 | no | — |
| 40 | #91364 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #91322 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×#6659 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #91303 | C22 | 1 | 1 | yes | characteristic |
| 44 | #91298 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #91297 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×#6652 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #91288 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #91286 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #91276 | — | 2 | 1 | no | — |
| 50 | #91270 | — | 2 | 1 | no | — |
| 51 | #91260 | — | 2 | 1 | no | — |
| 52 | #91258 | — | 2 | 1 | no | — |
| 53 | #91257 | — | 2 | 1 | no | — |
| 54 | #91256 | — | 2 | 1 | no | — |
| 55 | #91250 | — | 2 | 1 | no | — |
| 56 | D5×#204 | — | 2 | 1 | no | — |
| 57 | C3×C5×#100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #91108 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #91106 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C5×#825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C5×#825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | C3×#3955 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | C3×#3954 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #90980 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #90977 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #90959 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #90953 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #80939 | — | 5 | 1 | no | maximal, Hall |
| 69 | #66170 | — | 3 | 1 | no | — |
| 70 | #66169 | — | 3 | 1 | no | — |
| 71 | #66109 | — | 3 | 1 | no | — |
| 72 | #66108 | — | 3 | 1 | no | — |
| 73 | C5×#453 | — | 3 | 1 | no | — |
| 74 | #65489 | — | 3 | 1 | no | — |
| 75 | #65488 | — | 3 | 1 | no | — |
| 76 | #65366 | — | 3 | 1 | no | — |
| 77 | #65363 | — | 3 | 1 | no | — |
| 78 | #65116 | — | 3 | 1 | no | — |
| 79 | #65114 | — | 3 | 1 | no | — |
| 80 | #65112 | — | 3 | 1 | no | — |
| 81 | #65112 | — | 3 | 1 | no | — |
| 82 | #65038 | D3 | 1 | 1 | yes | characteristic, complemented |
| 83 | #65037 | — | 3 | 1 | no | — |
| 84 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 85 | #6817 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×C5×#67 | — | 4 | 1 | no | — |
| 88 | C2×C5×#67 | — | 4 | 1 | no | — |
| 89 | C5×#237 | — | 2 | 1 | no | — |
| 90 | C5×#237 | — | 2 | 1 | no | — |
| 91 | C5×D3×D4 | — | 2 | 1 | no | — |
| 92 | C5×D3×D4 | — | 2 | 1 | no | — |
| 93 | C5×#235 | C23 | 1 | 1 | yes | characteristic |
| 94 | C5×#235 | C23 | 1 | 1 | yes | characteristic |
| 95 | C2×C5×D12 | C23 | 1 | 1 | yes | characteristic |
| 96 | C3×#709 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×C3×D20 | C23 | 1 | 1 | yes | characteristic |
| 98 | D3×C22⋊D5 | — | 4 | 1 | no | — |
| 99 | D5×#67 | — | 4 | 1 | no | — |
| 100 | #6780 | — | 4 | 1 | no | — |
| 101 | #6777 | — | 2 | 1 | no | — |
| 102 | #6777 | — | 2 | 1 | no | — |
| 103 | D3×D20 | — | 2 | 1 | no | — |
| 104 | D5×D12 | — | 2 | 1 | no | — |
| 105 | #6772 | — | 2 | 1 | no | — |
| 106 | #6772 | — | 2 | 1 | no | — |
| 107 | #6768 | — | 2 | 1 | no | — |
| 108 | D3×Dic10 | — | 2 | 1 | no | — |
| 109 | #6766 | — | 2 | 1 | no | — |
| 110 | #6765 | — | 2 | 1 | no | — |
| 111 | #6765 | — | 2 | 1 | no | — |
| 112 | D5×Dic6 | — | 2 | 1 | no | — |
| 113 | C3×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 114 | C3×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 115 | #6716 | — | 2 | 1 | no | — |
| 116 | #6716 | — | 2 | 1 | no | — |
| 117 | #6716 | — | 2 | 1 | no | — |
| 118 | #6715 | — | 2 | 1 | no | — |
| 119 | #6710 | C23 | 1 | 1 | yes | characteristic |
| 120 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 121 | Dic60 | — | 2 | 1 | no | — |
| 122 | #6706 | — | 2 | 1 | no | — |
| 123 | #6705 | — | 2 | 1 | no | — |
| 124 | C8×D15 | — | 2 | 1 | no | — |
| 125 | C4×C5×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 126 | C5×D24 | — | 2 | 1 | no | — |
| 127 | C5×D24 | — | 2 | 1 | no | — |
| 128 | C5×#204 | — | 2 | 1 | no | — |
| 129 | C5×#204 | — | 2 | 1 | no | — |
| 130 | C3×#687 | — | 2 | 1 | no | — |
| 131 | C3×#686 | — | 2 | 1 | no | — |
| 132 | C3×#686 | — | 2 | 1 | no | — |
| 133 | C3×#686 | — | 2 | 1 | no | — |
| 134 | C3×#681 | C23 | 1 | 1 | yes | characteristic |
| 135 | C2×C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 136 | C3×D40 | — | 2 | 1 | no | — |
| 137 | C3×#677 | — | 2 | 1 | no | — |
| 138 | C3×#676 | — | 2 | 1 | no | — |
| 139 | C3×C8×D5 | — | 2 | 1 | no | — |
| 140 | #6665 | — | 4 | 1 | no | — |
| 141 | #6663 | — | 2 | 1 | no | — |
| 142 | #6663 | D4 | 1 | 1 | yes | characteristic, complemented |
| 143 | #6661 | D4 | 1 | 1 | yes | characteristic, complemented |
| 144 | #6660 | D4 | 1 | 1 | yes | characteristic, complemented |
| 145 | #6659 | — | 2 | 1 | no | — |
| 146 | #6659 | — | 2 | 1 | no | — |
| 147 | #6659 | — | 2 | 1 | no | — |
| 148 | #6659 | D4 | 1 | 1 | yes | characteristic, complemented |
| 149 | #6656 | D4 | 1 | 1 | yes | characteristic, complemented |
| 150 | #6655 | — | 2 | 1 | no | — |
| 151 | #6655 | D4 | 1 | 1 | yes | characteristic, complemented |
| 152 | #6654 | D4 | 1 | 1 | yes | characteristic, complemented |
| 153 | #6652 | — | 2 | 1 | no | — |
| 154 | #6652 | — | 2 | 1 | no | — |
| 155 | #6652 | — | 2 | 1 | no | — |
| 156 | #6652 | D4 | 1 | 1 | yes | characteristic, complemented |
| 157 | #6650 | — | 2 | 1 | no | — |
| 158 | #6650 | — | 2 | 1 | no | — |
| 159 | D3×#168 | — | 2 | 1 | no | — |
| 160 | D3×#168 | — | 2 | 1 | no | — |
| 161 | #5775 | — | 5 | 1 | no | — |
| 162 | #5774 | — | 5 | 1 | no | — |
| 163 | #5757 | — | 5 | 1 | no | — |
| 164 | #5751 | — | 5 | 1 | no | — |
| 165 | C3×#472 | — | 5 | 1 | no | — |
| 166 | #5201 | — | 5 | 1 | no | — |
| 167 | #5198 | — | 5 | 1 | no | — |
| 168 | #5154 | — | 5 | 1 | no | — |
| 169 | #5145 | — | 5 | 1 | no | — |
| 170 | #4898 | — | 5 | 1 | no | — |
| 171 | #4894 | — | 5 | 1 | no | — |
| 172 | #4749 | — | 5 | 1 | no | — |
| 173 | #4748 | — | 5 | 1 | no | — |
| 174 | #4747 | D5 | 1 | 1 | yes | characteristic, complemented |
| 175 | #4746 | — | 5 | 1 | no | — |
| 176 | C5×H(5,𝔽2) | — | 3 | 1 | no | — |
| 177 | #4150 | — | 3 | 1 | no | — |
| 178 | #4149 | — | 3 | 1 | no | — |
| 179 | #4144 | — | 3 | 1 | no | — |
| 180 | C5×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 181 | C5×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 182 | C5×#127 | — | 3 | 1 | no | — |
| 183 | #4097 | — | 3 | 1 | no | — |
| 184 | #4097 | — | 6 | 1 | no | — |
| 185 | #4096 | — | 3 | 1 | no | — |
| 186 | #4096 | — | 3 | 1 | no | — |
| 187 | #4096 | — | 6 | 1 | no | — |
| 188 | #4096 | — | 6 | 1 | no | — |
| 189 | #4095 | — | 3 | 1 | no | — |
| 190 | #4095 | — | 6 | 1 | no | — |
| 191 | #4094 | — | 3 | 1 | no | — |
| 192 | #4094 | — | 3 | 1 | no | — |
| 193 | C2×#687 | — | 3 | 1 | no | — |
| 194 | C2×#687 | — | 3 | 1 | no | — |
| 195 | C2×#687 | — | 6 | 1 | no | — |
| 196 | #4078 | — | 3 | 1 | no | — |
| 197 | #4078 | — | 6 | 1 | no | — |
| 198 | #4078 | — | 6 | 1 | no | — |
| 199 | #4078 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 200 | C2×#686 | — | 3 | 1 | no | — |
| 201 | C2×#686 | — | 6 | 1 | no | — |
| 202 | C2×#686 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 203 | #4062 | — | 6 | 1 | no | — |
| 204 | #4061 | — | 6 | 1 | no | — |
| 205 | #4060 | — | 6 | 1 | no | — |
| 206 | D5×SD16 | — | 6 | 1 | no | — |
| 207 | #4058 | — | 6 | 1 | no | — |
| 208 | #4057 | — | 6 | 1 | no | — |
| 209 | #4057 | — | 6 | 1 | no | — |
| 210 | D5×D8 | — | 6 | 1 | no | — |
| 211 | #4055 | — | 3 | 1 | no | — |
| 212 | #4054 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 213 | #4053 | — | 3 | 1 | no | — |
| 214 | #4053 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 215 | #4021 | — | 3 | 1 | no | — |
| 216 | C5×#104 | — | 3 | 1 | no | — |
| 217 | C5×#104 | — | 3 | 1 | no | — |
| 218 | C5×#100 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 219 | #3965 | — | 3 | 1 | no | — |
| 220 | #3956 | — | 3 | 1 | no | — |
| 221 | #3955 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 222 | #3954 | — | 3 | 1 | no | — |
| 223 | #3954 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 224 | #3937 | — | 3 | 1 | no | — |
| 225 | #3937 | — | 3 | 1 | no | — |
| 226 | #3935 | — | 3 | 1 | no | — |
| 227 | #3288 | — | 15 | 1 | no | Sylow |
| 228 | C23×C3×C5 | — | 2 | 1 | no | — |
| 229 | C22×C5×D3 | — | 2 | 1 | no | — |
| 230 | C22×C5×D3 | — | 4 | 1 | no | — |
| 231 | C22×C3×D5 | — | 2 | 1 | no | — |
| 232 | C2×D3×D5 | — | 4 | 1 | no | — |
| 233 | C2×D3×D5 | — | 4 | 1 | no | — |
| 234 | C3×C5×D4 | — | 2 | 1 | no | — |
| 235 | C3×C5×D4 | — | 2 | 1 | no | — |
| 236 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 237 | #1220 | — | 2 | 1 | no | — |
| 238 | C2×Dic15 | — | 2 | 1 | no | — |
| 239 | D60 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C4×D15 | — | 2 | 1 | no | — |
| 241 | Dic30 | — | 2 | 1 | no | — |
| 242 | Dic30 | — | 2 | 1 | no | — |
| 243 | Dic30 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C5×#67 | — | 2 | 1 | no | — |
| 245 | C5×#67 | — | 2 | 1 | no | — |
| 246 | C5×#67 | — | 4 | 1 | no | — |
| 247 | C5×#67 | — | 4 | 1 | no | — |
| 248 | C5×#67 | — | 8 | 2 | no | — |
| 249 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 250 | C2×C5×Dic3 | — | 4 | 1 | no | — |
| 251 | C5×D12 | — | 2 | 1 | no | — |
| 252 | C5×D12 | — | 2 | 1 | no | — |
| 253 | C5×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C5×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C4×C5×D3 | — | 2 | 1 | no | — |
| 256 | C4×C5×D3 | — | 2 | 1 | no | — |
| 257 | C5×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C5×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 260 | C3×D20 | — | 2 | 1 | no | — |
| 261 | C3×D20 | — | 2 | 1 | no | — |
| 262 | C3×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C3×C4×D5 | — | 2 | 1 | no | — |
| 264 | C3×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 265 | #1204 | — | 4 | 1 | no | — |
| 266 | #1203 | — | 4 | 1 | no | — |
| 267 | #1202 | — | 4 | 1 | no | — |
| 268 | #1201 | — | 4 | 1 | no | — |
| 269 | #1201 | — | 4 | 1 | no | — |
| 270 | #1201 | — | 4 | 1 | no | — |
| 271 | D3×Dic5 | — | 4 | 1 | no | — |
| 272 | D3×Dic5 | — | 4 | 1 | no | — |
| 273 | D5×Dic3 | — | 4 | 1 | no | — |
| 274 | D5×Dic3 | — | 4 | 1 | no | — |
| 275 | C3×C5×C8 | — | 2 | 1 | no | — |
| 276 | C3×C5×C8 | — | 2 | 1 | no | — |
| 277 | C3⋊#168 | — | 2 | 1 | no | — |
| 278 | C3⋊#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 279 | C3⋊#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | C3×#168 | — | 2 | 1 | no | — |
| 281 | C3×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 282 | C3×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 283 | #1010 | — | 5 | 1 | no | — |
| 284 | #1009 | — | 5 | 1 | no | — |
| 285 | #1004 | — | 5 | 1 | no | — |
| 286 | #1004 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 287 | C3×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 288 | C3×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 289 | C2×C3×D8 | — | 5 | 1 | no | — |
| 290 | C3×#131 | — | 5 | 1 | no | — |
| 291 | #950 | — | 5 | 1 | no | — |
| 292 | #940 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 293 | #936 | — | 5 | 1 | no | — |
| 294 | C2×#214 | — | 5 | 1 | no | — |
| 295 | #932 | — | 5 | 1 | no | — |
| 296 | #932 | — | 5 | 1 | no | — |
| 297 | C2×#213 | — | 5 | 1 | no | — |
| 298 | #916 | — | 10 | 1 | no | — |
| 299 | #915 | — | 10 | 1 | no | — |
| 300 | #914 | — | 10 | 1 | no | — |
| 301 | D3×SD16 | — | 10 | 1 | no | — |
| 302 | #912 | — | 10 | 1 | no | — |
| 303 | #912 | — | 10 | 1 | no | — |
| 304 | #911 | — | 10 | 1 | no | — |
| 305 | #911 | — | 10 | 1 | no | — |
| 306 | #911 | — | 10 | 1 | no | — |
| 307 | #911 | — | 10 | 1 | no | — |
| 308 | D3×D8 | — | 10 | 1 | no | — |
| 309 | D3×D8 | — | 10 | 1 | no | — |
| 310 | #909 | — | 5 | 1 | no | — |
| 311 | #909 | — | 5 | 1 | no | — |
| 312 | #909 | — | 10 | 1 | no | — |
| 313 | #908 | — | 10 | 1 | no | — |
| 314 | #908 | C2×D5 | 1 | 1 | yes | characteristic |
| 315 | #908 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 316 | #907 | — | 5 | 1 | no | — |
| 317 | #907 | — | 5 | 1 | no | — |
| 318 | #904 | — | 5 | 1 | no | — |
| 319 | #904 | — | 10 | 1 | no | — |
| 320 | C2×#204 | — | 5 | 1 | no | — |
| 321 | C2×#204 | — | 10 | 1 | no | — |
| 322 | #901 | — | 5 | 1 | no | — |
| 323 | C3×#108 | — | 5 | 1 | no | — |
| 324 | C3×#100 | — | 5 | 1 | no | — |
| 325 | C3×#100 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 326 | #837 | — | 5 | 1 | no | — |
| 327 | #825 | — | 5 | 1 | no | — |
| 328 | #825 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 329 | #825 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 330 | #824 | — | 5 | 1 | no | — |
| 331 | #823 | — | 5 | 1 | no | — |
| 332 | #822 | — | 5 | 1 | no | — |
| 333 | #815 | — | 5 | 1 | no | — |
| 334 | C5×#41 | — | 3 | 1 | no | — |
| 335 | C5×#41 | — | 3 | 1 | no | — |
| 336 | C5×#41 | — | 6 | 1 | no | — |
| 337 | C5×#41 | — | 6 | 1 | no | — |
| 338 | C2×C5×D4 | — | 3 | 1 | no | — |
| 339 | C2×C5×D4 | — | 6 | 1 | no | — |
| 340 | C2×C5×D4 | — | 6 | 1 | no | — |
| 341 | C2×C5×D4 | — | 12 | 1 | no | — |
| 342 | C2×C5×D4 | — | 12 | 1 | no | — |
| 343 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 344 | C2×C22⋊D5 | — | 12 | 1 | no | — |
| 345 | #713 | — | 6 | 1 | no | — |
| 346 | Q8×D5 | — | 6 | 1 | no | — |
| 347 | #711 | — | 6 | 1 | no | — |
| 348 | #711 | — | 6 | 1 | no | — |
| 349 | #711 | — | 6 | 1 | no | — |
| 350 | #711 | — | 12 | 1 | no | — |
| 351 | D4×D5 | — | 6 | 1 | no | — |
| 352 | D4×D5 | — | 6 | 1 | no | — |
| 353 | D4×D5 | — | 6 | 1 | no | — |
| 354 | D4×D5 | — | 12 | 1 | no | — |
| 355 | #709 | — | 3 | 1 | no | — |
| 356 | #709 | — | 6 | 1 | no | — |
| 357 | #709 | — | 6 | 1 | no | — |
| 358 | #709 | C22×D3 | 1 | 1 | yes | characteristic |
| 359 | C2×D20 | — | 6 | 1 | no | — |
| 360 | C2×D20 | C22×D3 | 1 | 1 | yes | characteristic |
| 361 | C2×Dic10 | — | 3 | 1 | no | — |
| 362 | C2×Dic10 | — | 6 | 1 | no | — |
| 363 | C5×SD16 | — | 6 | 1 | no | — |
| 364 | C5×SD16 | — | 6 | 1 | no | — |
| 365 | C5×D8 | — | 6 | 1 | no | — |
| 366 | C5×D8 | — | 6 | 1 | no | — |
| 367 | C5×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 368 | C5×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 369 | C42×C5 | — | 3 | 1 | no | — |
| 370 | #689 | — | 3 | 1 | no | — |
| 371 | #689 | — | 3 | 1 | no | — |
| 372 | #689 | — | 6 | 1 | no | — |
| 373 | #688 | — | 3 | 1 | no | — |
| 374 | #688 | — | 3 | 1 | no | — |
| 375 | #688 | — | 6 | 1 | no | — |
| 376 | #687 | — | 2 | 1 | no | — |
| 377 | #687 | — | 3 | 1 | no | — |
| 378 | #687 | — | 3 | 1 | no | — |
| 379 | #687 | — | 6 | 1 | no | — |
| 380 | #687 | — | 6 | 1 | no | — |
| 381 | #687 | — | 6 | 1 | no | — |
| 382 | #687 | — | 6 | 1 | no | — |
| 383 | #687 | — | 6 | 1 | no | — |
| 384 | #687 | — | 6 | 1 | no | — |
| 385 | #686 | — | 2 | 1 | no | — |
| 386 | #686 | — | 2 | 1 | no | — |
| 387 | #686 | — | 2 | 1 | no | — |
| 388 | #686 | — | 3 | 1 | no | — |
| 389 | #686 | — | 3 | 1 | no | — |
| 390 | #686 | — | 6 | 1 | no | — |
| 391 | #686 | — | 6 | 1 | no | — |
| 392 | #686 | — | 6 | 1 | no | — |
| 393 | #686 | — | 6 | 1 | no | — |
| 394 | #685 | — | 12 | 1 | no | — |
| 395 | #681 | — | 3 | 1 | no | — |
| 396 | #681 | — | 6 | 1 | no | — |
| 397 | #681 | — | 6 | 1 | no | — |
| 398 | #681 | C22×D3 | 1 | 1 | yes | characteristic |
| 399 | C2×#168 | — | 3 | 1 | no | — |
| 400 | C2×#168 | — | 6 | 1 | no | — |
| 401 | C2×#168 | — | 6 | 1 | no | — |
| 402 | C2×#168 | C22×D3 | 1 | 1 | yes | characteristic |
| 403 | Dic20 | — | 6 | 1 | no | — |
| 404 | D40 | — | 2 | 1 | no | — |
| 405 | #677 | — | 2 | 1 | no | — |
| 406 | #677 | — | 6 | 1 | no | — |
| 407 | #676 | — | 2 | 1 | no | — |
| 408 | #676 | — | 6 | 1 | no | — |
| 409 | C8×D5 | — | 2 | 1 | no | — |
| 410 | C8×D5 | — | 6 | 1 | no | — |
| 411 | #577 | — | 15 | 1 | no | — |
| 412 | #577 | — | 15 | 1 | no | — |
| 413 | #576 | — | 15 | 1 | no | — |
| 414 | #576 | — | 15 | 1 | no | — |
| 415 | #496 | — | 15 | 1 | no | — |
| 416 | #472 | — | 5 | 1 | no | — |
| 417 | #472 | — | 15 | 1 | no | — |
| 418 | #471 | — | 15 | 1 | no | — |
| 419 | #471 | — | 15 | 1 | no | — |
| 420 | #455 | — | 15 | 1 | no | — |
| 421 | #454 | — | 15 | 1 | no | — |
| 422 | #453 | — | 3 | 1 | no | — |
| 423 | #453 | — | 15 | 1 | no | — |
| 424 | #444 | — | 15 | 1 | no | — |
| 425 | #444 | — | 15 | 1 | no | — |
| 426 | C22×C3×C5 | — | 4 | 1 | no | — |
| 427 | C22×C3×C5 | — | 8 | 1 | no | — |
| 428 | C22×C3×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 429 | C2×D15 | — | 2 | 1 | no | — |
| 430 | C2×C5×D3 | — | 2 | 1 | no | — |
| 431 | C2×C5×D3 | — | 2 | 1 | no | — |
| 432 | C2×C5×D3 | — | 4 | 1 | no | — |
| 433 | C2×C5×D3 | — | 8 | 1 | no | — |
| 434 | C2×C5×D3 | — | 16 | 1 | no | — |
| 435 | C2×C3×D5 | — | 2 | 1 | no | — |
| 436 | C2×C3×D5 | — | 4 | 1 | no | — |
| 437 | C2×C3×D5 | — | 8 | 1 | no | — |
| 438 | D3×D5 | — | 16 | 1 | no | — |
| 439 | D3×D5 | — | 16 | 1 | no | — |
| 440 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 441 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 442 | Dic15 | — | 2 | 1 | no | — |
| 443 | Dic15 | — | 4 | 1 | no | — |
| 444 | C3×Dic5 | — | 2 | 1 | no | — |
| 445 | C5×Dic3 | — | 2 | 1 | no | — |
| 446 | C5×Dic3 | — | 2 | 1 | no | — |
| 447 | C5×Dic3 | — | 4 | 1 | no | — |
| 448 | C3×#41 | — | 5 | 1 | no | — |
| 449 | C2×C3×D4 | — | 5 | 1 | no | — |
| 450 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 451 | C2×#67 | — | 4 | 1 | no | — |
| 452 | C2×#67 | — | 4 | 1 | no | — |
| 453 | C2×#67 | — | 20 | 1 | no | — |
| 454 | #239 | — | 10 | 1 | no | — |
| 455 | D3×Q8 | — | 10 | 1 | no | — |
| 456 | #237 | — | 2 | 1 | no | — |
| 457 | #237 | — | 2 | 1 | no | — |
| 458 | #237 | — | 10 | 1 | no | — |
| 459 | #237 | — | 10 | 1 | no | — |
| 460 | #237 | — | 10 | 1 | no | — |
| 461 | #237 | — | 20 | 1 | no | — |
| 462 | D3×D4 | — | 2 | 1 | no | — |
| 463 | D3×D4 | — | 2 | 1 | no | — |
| 464 | D3×D4 | — | 10 | 1 | no | — |
| 465 | D3×D4 | — | 10 | 1 | no | — |
| 466 | D3×D4 | — | 10 | 1 | no | — |
| 467 | D3×D4 | — | 20 | 1 | no | — |
| 468 | #235 | — | 5 | 1 | no | — |
| 469 | #235 | — | 10 | 1 | no | — |
| 470 | #235 | — | 10 | 1 | no | — |
| 471 | #235 | C22×D5 | 1 | 1 | yes | characteristic |
| 472 | #235 | C22×D5 | 1 | 1 | yes | characteristic |
| 473 | C2×D12 | — | 10 | 1 | no | — |
| 474 | C2×D12 | C22×D5 | 1 | 1 | yes | characteristic |
| 475 | C2×Dic6 | — | 5 | 1 | no | — |
| 476 | C2×Dic6 | — | 10 | 1 | no | — |
| 477 | C3×SD16 | — | 10 | 1 | no | — |
| 478 | C3×SD16 | — | 10 | 1 | no | — |
| 479 | C3×D8 | — | 10 | 1 | no | — |
| 480 | C3×D8 | — | 10 | 1 | no | — |
| 481 | C3×D8 | — | 10 | 1 | no | — |
| 482 | C3×D8 | — | 10 | 1 | no | — |
| 483 | C3×M16 | — | 5 | 1 | no | — |
| 484 | C3×M16 | — | 10 | 1 | no | — |
| 485 | C3×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 486 | C3×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 487 | C2×C3×C8 | — | 5 | 1 | no | — |
| 488 | C2×C3×C8 | — | 10 | 1 | no | — |
| 489 | #217 | — | 20 | 1 | no | — |
| 490 | #216 | — | 5 | 1 | no | — |
| 491 | #215 | — | 5 | 1 | no | — |
| 492 | #214 | — | 5 | 1 | no | — |
| 493 | #214 | — | 10 | 1 | no | — |
| 494 | #214 | — | 10 | 1 | no | — |
| 495 | #214 | — | 10 | 1 | no | — |
| 496 | #214 | — | 10 | 1 | no | — |
| 497 | #213 | — | 5 | 1 | no | — |
| 498 | #213 | — | 10 | 1 | no | — |
| 499 | #213 | — | 10 | 1 | no | — |
| 500 | #213 | — | 10 | 1 | no | — |
| 501 | #213 | — | 10 | 1 | no | — |
| 502 | C4×Dic3 | C22×D5 | 1 | 1 | yes | characteristic |
| 503 | #208 | — | 5 | 1 | no | — |
| 504 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 505 | Dic12 | — | 5 | 1 | no | — |
| 506 | Dic12 | — | 10 | 1 | no | — |
| 507 | Dic12 | — | 10 | 1 | no | — |
| 508 | D24 | — | 2 | 1 | no | — |
| 509 | D24 | — | 2 | 1 | no | — |
| 510 | D24 | — | 5 | 1 | no | — |
| 511 | #204 | — | 2 | 1 | no | — |
| 512 | #204 | — | 2 | 1 | no | — |
| 513 | #204 | — | 5 | 1 | no | — |
| 514 | #204 | — | 5 | 1 | no | — |
| 515 | #204 | — | 10 | 1 | no | — |
| 516 | #204 | — | 10 | 1 | no | — |
| 517 | #204 | — | 10 | 1 | no | — |
| 518 | #204 | — | 10 | 1 | no | — |
| 519 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 520 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 521 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 522 | D3×C8 | — | 10 | 1 | no | — |
| 523 | D3×C8 | — | 10 | 1 | no | — |
| 524 | D3×C8 | — | 10 | 1 | no | — |
| 525 | C23×C5 | — | 2 | 1 | no | — |
| 526 | C23×C5 | — | 6 | 1 | no | — |
| 527 | C23×C5 | — | 12 | 1 | no | — |
| 528 | C22×D5 | — | 2 | 1 | no | — |
| 529 | C22×D5 | — | 12 | 1 | no | — |
| 530 | C22×D5 | — | 12 | 1 | no | — |
| 531 | C5×Q8 | — | 3 | 1 | no | — |
| 532 | C5×Q8 | — | 3 | 1 | no | — |
| 533 | C5×D4 | — | 2 | 1 | no | — |
| 534 | C5×D4 | — | 2 | 1 | no | — |
| 535 | C5×D4 | — | 3 | 1 | no | — |
| 536 | C5×D4 | — | 3 | 1 | no | — |
| 537 | C5×D4 | — | 6 | 1 | no | — |
| 538 | C5×D4 | — | 6 | 1 | no | — |
| 539 | C5×D4 | — | 6 | 1 | no | — |
| 540 | C5×D4 | — | 6 | 1 | no | — |
| 541 | C5×D4 | — | 12 | 1 | no | — |
| 542 | C5×D4 | — | 12 | 1 | no | — |
| 543 | C5×D4 | — | 24 | 2 | no | — |
| 544 | C2×C4×C5 | — | 6 | 1 | no | — |
| 545 | C2×C4×C5 | — | 6 | 1 | no | — |
| 546 | C2×C4×C5 | — | 6 | 1 | no | — |
| 547 | C2×C4×C5 | — | 12 | 1 | no | — |
| 548 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 549 | C22⋊D5 | — | 2 | 1 | no | — |
| 550 | C22⋊D5 | — | 6 | 1 | no | — |
| 551 | C22⋊D5 | — | 12 | 1 | no | — |
| 552 | C22⋊D5 | — | 12 | 1 | no | — |
| 553 | C22⋊D5 | — | 12 | 1 | no | — |
| 554 | C22⋊D5 | — | 12 | 1 | no | — |
| 555 | C2×Dic5 | — | 6 | 1 | no | — |
| 556 | C2×Dic5 | — | 12 | 1 | no | — |
| 557 | C2×Dic5 | — | 12 | 1 | no | — |
| 558 | D20 | — | 2 | 1 | no | — |
| 559 | D20 | — | 2 | 1 | no | — |
| 560 | D20 | — | 3 | 1 | no | — |
| 561 | D20 | — | 12 | 1 | no | — |
| 562 | D20 | D3×D4 | 1 | 1 | yes | characteristic |
| 563 | C4×D5 | — | 2 | 1 | no | — |
| 564 | C4×D5 | — | 6 | 1 | no | — |
| 565 | C4×D5 | — | 12 | 1 | no | — |
| 566 | C4×D5 | — | 12 | 1 | no | — |
| 567 | Dic10 | — | 3 | 1 | no | — |
| 568 | Dic10 | — | 6 | 1 | no | — |
| 569 | Dic10 | — | 6 | 1 | no | — |
| 570 | Dic10 | — | 12 | 1 | no | — |
| 571 | Dic10 | D3×D4 | 1 | 1 | yes | characteristic |
| 572 | C5×C8 | — | 2 | 1 | no | — |
| 573 | C5×C8 | — | 2 | 1 | no | — |
| 574 | #168 | — | 2 | 1 | no | — |
| 575 | #168 | — | 3 | 1 | no | — |
| 576 | #168 | — | 3 | 1 | no | — |
| 577 | #168 | — | 6 | 1 | no | — |
| 578 | #168 | D3×D4 | 1 | 1 | yes | characteristic |
| 579 | #168 | D3×D4 | 1 | 1 | yes | characteristic |
| 580 | 2−1+4 | — | 15 | 1 | no | — |
| 581 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 582 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 583 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 584 | #137 | — | 15 | 1 | no | — |
| 585 | #137 | — | 15 | 1 | no | — |
| 586 | #137 | — | 30 | 1 | no | — |
| 587 | #137 | — | 30 | 1 | no | — |
| 588 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 589 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 590 | AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 591 | AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 592 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 593 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 594 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 595 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 596 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 597 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 598 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 599 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 600 | #135 | — | 15 | 1 | no | — |
| 601 | #135 | — | 15 | 1 | no | — |
| 602 | #135 | — | 30 | 1 | no | — |
| 603 | #135 | — | 30 | 1 | no | — |
| 604 | #135 | — | 30 | 1 | no | — |
| 605 | #135 | — | 30 | 1 | no | — |
| 606 | C2×SD16 | — | 15 | 1 | no | — |
| 607 | C2×SD16 | — | 15 | 1 | no | — |
| 608 | C2×SD16 | — | 30 | 1 | no | — |
| 609 | C2×SD16 | — | 30 | 1 | no | — |
| 610 | C2×D8 | — | 5 | 1 | no | — |
| 611 | C2×D8 | — | 15 | 1 | no | — |
| 612 | C2×D8 | — | 30 | 1 | no | — |
| 613 | C2×D8 | — | 30 | 1 | no | — |
| 614 | #131 | — | 5 | 1 | no | — |
| 615 | #131 | — | 15 | 1 | no | — |
| 616 | #131 | — | 15 | 1 | no | — |
| 617 | #131 | — | 15 | 1 | no | — |
| 618 | #127 | — | 3 | 1 | no | — |
| 619 | #124 | — | 15 | 1 | no | — |
| 620 | #108 | — | 5 | 1 | no | — |
| 621 | #108 | — | 15 | 1 | no | — |
| 622 | #104 | — | 3 | 1 | no | — |
| 623 | #104 | — | 3 | 1 | no | — |
| 624 | #104 | — | 15 | 1 | no | — |
| 625 | #104 | — | 15 | 1 | no | — |
| 626 | #101 | — | 15 | 1 | no | — |
| 627 | #100 | — | 5 | 1 | no | — |
| 628 | #100 | — | 15 | 1 | no | — |
| 629 | #100 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 630 | #97 | — | 15 | 1 | no | — |
| 631 | C2×C3×C5 | — | 2 | 1 | no | — |
| 632 | C2×C3×C5 | — | 8 | 1 | no | — |
| 633 | C2×C3×C5 | D42 | 1 | 1 | yes | characteristic |
| 634 | D15 | — | 4 | 1 | no | — |
| 635 | C3×D5 | — | 4 | 1 | no | — |
| 636 | C3×D5 | — | 8 | 1 | no | — |
| 637 | C5×D3 | — | 4 | 1 | no | — |
| 638 | C5×D3 | — | 4 | 1 | no | — |
| 639 | C5×D3 | — | 8 | 1 | no | — |
| 640 | C23×C3 | — | 2 | 1 | no | — |
| 641 | C23×C3 | — | 10 | 1 | no | — |
| 642 | C22×D3 | — | 2 | 1 | no | — |
| 643 | C22×D3 | — | 4 | 1 | no | — |
| 644 | C22×D3 | — | 20 | 1 | no | — |
| 645 | C22×D3 | — | 20 | 1 | no | — |
| 646 | C3×Q8 | — | 5 | 1 | no | — |
| 647 | C3×D4 | — | 2 | 1 | no | — |
| 648 | C3×D4 | — | 2 | 1 | no | — |
| 649 | C3×D4 | — | 5 | 1 | no | — |
| 650 | C3×D4 | — | 10 | 1 | no | — |
| 651 | C3×D4 | — | 10 | 1 | no | — |
| 652 | C3×D4 | — | 10 | 1 | no | — |
| 653 | C2×C3×C4 | — | 10 | 1 | no | — |
| 654 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 655 | #67 | — | 2 | 1 | no | — |
| 656 | #67 | — | 2 | 1 | no | — |
| 657 | #67 | — | 4 | 1 | no | — |
| 658 | #67 | — | 4 | 1 | no | — |
| 659 | #67 | — | 8 | 2 | no | — |
| 660 | #67 | — | 10 | 1 | no | — |
| 661 | #67 | — | 20 | 1 | no | — |
| 662 | #67 | — | 20 | 1 | no | — |
| 663 | #67 | — | 20 | 1 | no | — |
| 664 | #67 | — | 20 | 1 | no | — |
| 665 | C2×Dic3 | — | 2 | 1 | no | — |
| 666 | C2×Dic3 | — | 4 | 1 | no | — |
| 667 | C2×Dic3 | — | 10 | 1 | no | — |
| 668 | C2×Dic3 | — | 20 | 1 | no | — |
| 669 | C2×Dic3 | — | 20 | 1 | no | — |
| 670 | D12 | — | 2 | 1 | no | — |
| 671 | D12 | — | 2 | 1 | no | — |
| 672 | D12 | — | 5 | 1 | no | — |
| 673 | D12 | — | 20 | 1 | no | — |
| 674 | D12 | D4×D5 | 1 | 1 | yes | characteristic |
| 675 | D12 | D4×D5 | 1 | 1 | yes | characteristic |
| 676 | C4×D3 | — | 2 | 1 | no | — |
| 677 | C4×D3 | — | 2 | 1 | no | — |
| 678 | C4×D3 | — | 10 | 1 | no | — |
| 679 | C4×D3 | — | 20 | 1 | no | — |
| 680 | C4×D3 | — | 20 | 1 | no | — |
| 681 | Dic6 | — | 5 | 1 | no | — |
| 682 | Dic6 | — | 10 | 1 | no | — |
| 683 | Dic6 | — | 10 | 1 | no | — |
| 684 | Dic6 | — | 20 | 1 | no | — |
| 685 | Dic6 | D4×D5 | 1 | 1 | yes | characteristic |
| 686 | Dic6 | D4×D5 | 1 | 1 | yes | characteristic |
| 687 | C3×C8 | — | 2 | 1 | no | — |
| 688 | C3×C8 | — | 2 | 1 | no | — |
| 689 | C3×C8 | — | 5 | 1 | no | — |
| 690 | C3×C8 | — | 5 | 1 | no | — |
| 691 | C3×C8 | — | 10 | 1 | no | — |
| 692 | C3⋊C8 | — | 5 | 1 | no | — |
| 693 | C3⋊C8 | — | 5 | 1 | no | — |
| 694 | C3⋊C8 | — | 10 | 1 | no | — |
| 695 | C22×C5 | — | 4 | 1 | no | — |
| 696 | C22×C5 | — | 6 | 1 | no | — |
| 697 | C22×C5 | — | 6 | 1 | no | — |
| 698 | C22×C5 | — | 8 | 1 | no | — |
| 699 | C22×C5 | — | 12 | 1 | no | — |
| 700 | C22×C5 | — | 24 | 1 | no | — |
| 701 | C22×C5 | — | 48 | 1 | no | — |
| 702 | C22×C5 | #1009 | 1 | 1 | yes | characteristic |
| 703 | C2×D5 | — | 2 | 1 | no | — |
| 704 | C2×D5 | — | 4 | 1 | no | — |
| 705 | C2×D5 | — | 6 | 1 | no | — |
| 706 | C2×D5 | — | 8 | 1 | no | — |
| 707 | C2×D5 | — | 48 | 1 | no | — |
| 708 | C2×D5 | — | 48 | 1 | no | — |
| 709 | C4×C5 | — | 6 | 1 | no | — |
| 710 | C4×C5 | — | 6 | 1 | no | — |
| 711 | C4×C5 | — | 12 | 1 | no | — |
| 712 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 713 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 714 | Dic5 | — | 2 | 1 | no | — |
| 715 | Dic5 | — | 6 | 1 | no | — |
| 716 | Dic5 | — | 12 | 1 | no | — |
| 717 | #41 | — | 3 | 1 | no | — |
| 718 | #41 | — | 3 | 1 | no | — |
| 719 | #41 | — | 5 | 1 | no | — |
| 720 | #41 | — | 6 | 1 | no | — |
| 721 | #41 | — | 6 | 1 | no | — |
| 722 | #41 | — | 15 | 1 | no | — |
| 723 | #41 | — | 30 | 1 | no | — |
| 724 | #41 | — | 30 | 1 | no | — |
| 725 | #41 | — | 30 | 1 | no | — |
| 726 | #41 | — | 30 | 1 | no | — |
| 727 | #41 | — | 30 | 1 | no | — |
| 728 | #41 | — | 30 | 1 | no | — |
| 729 | #41 | — | 60 | 1 | no | — |
| 730 | C2×Q8 | — | 15 | 1 | no | — |
| 731 | C2×Q8 | — | 30 | 1 | no | — |
| 732 | C2×Q8 | — | 30 | 1 | no | — |
| 733 | C2×D4 | — | 3 | 1 | no | — |
| 734 | C2×D4 | — | 5 | 1 | no | — |
| 735 | C2×D4 | — | 6 | 1 | no | — |
| 736 | C2×D4 | — | 6 | 1 | no | — |
| 737 | C2×D4 | — | 12 | 1 | no | — |
| 738 | C2×D4 | — | 12 | 1 | no | — |
| 739 | C2×D4 | — | 30 | 1 | no | — |
| 740 | C2×D4 | — | 30 | 1 | no | — |
| 741 | C2×D4 | — | 30 | 1 | no | — |
| 742 | C2×D4 | — | 30 | 1 | no | — |
| 743 | C2×D4 | — | 60 | 1 | no | — |
| 744 | C2×D4 | — | 60 | 1 | no | — |
| 745 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 746 | Q16 | — | 15 | 1 | no | — |
| 747 | Q16 | — | 15 | 1 | no | — |
| 748 | Q16 | — | 30 | 1 | no | — |
| 749 | Q16 | — | 30 | 1 | no | — |
| 750 | SD16 | — | 6 | 1 | no | — |
| 751 | SD16 | — | 6 | 1 | no | — |
| 752 | SD16 | — | 10 | 1 | no | — |
| 753 | SD16 | — | 10 | 1 | no | — |
| 754 | SD16 | — | 15 | 1 | no | — |
| 755 | SD16 | — | 15 | 1 | no | — |
| 756 | SD16 | — | 15 | 1 | no | — |
| 757 | SD16 | — | 15 | 1 | no | — |
| 758 | SD16 | — | 30 | 1 | no | — |
| 759 | SD16 | — | 30 | 1 | no | — |
| 760 | SD16 | — | 30 | 1 | no | — |
| 761 | SD16 | — | 30 | 1 | no | — |
| 762 | SD16 | — | 30 | 1 | no | — |
| 763 | SD16 | — | 30 | 1 | no | — |
| 764 | SD16 | — | 30 | 1 | no | — |
| 765 | SD16 | — | 30 | 1 | no | — |
| 766 | D8 | — | 6 | 1 | no | — |
| 767 | D8 | — | 6 | 1 | no | — |
| 768 | D8 | — | 10 | 1 | no | — |
| 769 | D8 | — | 10 | 1 | no | — |
| 770 | D8 | — | 10 | 1 | no | — |
| 771 | D8 | — | 10 | 1 | no | — |
| 772 | D8 | — | 15 | 1 | no | — |
| 773 | D8 | — | 15 | 1 | no | — |
| 774 | D8 | — | 30 | 1 | no | — |
| 775 | D8 | — | 30 | 1 | no | — |
| 776 | D8 | — | 30 | 1 | no | — |
| 777 | D8 | — | 30 | 1 | no | — |
| 778 | M16 | — | 5 | 1 | no | — |
| 779 | M16 | — | 10 | 1 | no | — |
| 780 | M16 | — | 15 | 1 | no | — |
| 781 | M16 | — | 30 | 1 | no | — |
| 782 | M16 | — | 30 | 1 | no | — |
| 783 | M16 | — | 30 | 1 | no | — |
| 784 | M16 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 785 | M16 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 786 | C2×C8 | — | 5 | 1 | no | — |
| 787 | C2×C8 | — | 10 | 1 | no | — |
| 788 | C2×C8 | — | 15 | 1 | no | — |
| 789 | C2×C8 | — | 30 | 1 | no | — |
| 790 | C2×C8 | — | 30 | 1 | no | — |
| 791 | C2×C8 | — | 30 | 1 | no | — |
| 792 | C22⋊C4 | — | 60 | 1 | no | — |
| 793 | C42 | — | 3 | 1 | no | — |
| 794 | C3×C5 | #3288 | 1 | 1 | yes | characteristic, complemented, Hall |
| 795 | C22×C3 | — | 4 | 1 | no | — |
| 796 | C22×C3 | — | 8 | 1 | no | — |
| 797 | C22×C3 | — | 10 | 1 | no | — |
| 798 | C22×C3 | — | 20 | 1 | no | — |
| 799 | C22×C3 | — | 40 | 1 | no | — |
| 800 | C22×C3 | #4144 | 1 | 1 | yes | characteristic |
| 801 | C2×D3 | — | 2 | 1 | no | — |
| 802 | C2×D3 | — | 2 | 1 | no | — |
| 803 | C2×D3 | — | 4 | 1 | no | — |
| 804 | C2×D3 | — | 8 | 1 | no | — |
| 805 | C2×D3 | — | 10 | 1 | no | — |
| 806 | C2×D3 | — | 16 | 1 | no | — |
| 807 | C2×D3 | — | 80 | 1 | no | — |
| 808 | C2×D3 | — | 80 | 1 | no | — |
| 809 | C3×C4 | — | 10 | 1 | no | — |
| 810 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 811 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 812 | Dic3 | — | 2 | 1 | no | — |
| 813 | Dic3 | — | 2 | 1 | no | — |
| 814 | Dic3 | — | 4 | 1 | no | — |
| 815 | Dic3 | — | 10 | 1 | no | — |
| 816 | Dic3 | — | 20 | 1 | no | — |
| 817 | C2×C5 | — | 2 | 1 | no | — |
| 818 | C2×C5 | — | 8 | 1 | no | — |
| 819 | C2×C5 | — | 12 | 1 | no | — |
| 820 | C2×C5 | — | 12 | 1 | no | — |
| 821 | C2×C5 | — | 24 | 1 | no | — |
| 822 | C2×C5 | #5609 | 1 | 1 | yes | characteristic |
| 823 | D5 | — | 4 | 1 | no | — |
| 824 | D5 | — | 8 | 1 | no | — |
| 825 | D5 | — | 12 | 1 | no | — |
| 826 | C23 | — | 2 | 1 | no | — |
| 827 | C23 | — | 6 | 1 | no | — |
| 828 | C23 | — | 10 | 1 | no | — |
| 829 | C23 | — | 12 | 1 | no | — |
| 830 | C23 | — | 60 | 1 | no | — |
| 831 | C23 | — | 60 | 1 | no | — |
| 832 | Q8 | — | 3 | 1 | no | — |
| 833 | Q8 | — | 3 | 1 | no | — |
| 834 | Q8 | — | 5 | 1 | no | — |
| 835 | Q8 | — | 15 | 1 | no | — |
| 836 | Q8 | — | 30 | 1 | no | — |
| 837 | Q8 | — | 30 | 1 | no | — |
| 838 | Q8 | — | 60 | 1 | no | — |
| 839 | D4 | — | 2 | 1 | no | — |
| 840 | D4 | — | 2 | 1 | no | — |
| 841 | D4 | — | 3 | 1 | no | — |
| 842 | D4 | — | 3 | 1 | no | — |
| 843 | D4 | — | 5 | 1 | no | — |
| 844 | D4 | — | 6 | 1 | no | — |
| 845 | D4 | — | 6 | 1 | no | — |
| 846 | D4 | — | 6 | 1 | no | — |
| 847 | D4 | — | 6 | 1 | no | — |
| 848 | D4 | — | 10 | 1 | no | — |
| 849 | D4 | — | 10 | 1 | no | — |
| 850 | D4 | — | 10 | 1 | no | — |
| 851 | D4 | — | 12 | 1 | no | — |
| 852 | D4 | — | 12 | 1 | no | — |
| 853 | D4 | — | 15 | 1 | no | — |
| 854 | D4 | — | 24 | 2 | no | — |
| 855 | D4 | — | 30 | 1 | no | — |
| 856 | D4 | — | 60 | 1 | no | — |
| 857 | D4 | — | 60 | 1 | no | — |
| 858 | D4 | — | 60 | 1 | no | — |
| 859 | D4 | — | 60 | 1 | no | — |
| 860 | D4 | — | 60 | 1 | no | — |
| 861 | C2×C4 | — | 6 | 1 | no | — |
| 862 | C2×C4 | — | 6 | 1 | no | — |
| 863 | C2×C4 | — | 6 | 1 | no | — |
| 864 | C2×C4 | — | 10 | 1 | no | — |
| 865 | C2×C4 | — | 12 | 1 | no | — |
| 866 | C2×C4 | — | 30 | 1 | no | — |
| 867 | C2×C4 | — | 30 | 1 | no | — |
| 868 | C2×C4 | — | 60 | 1 | no | — |
| 869 | C2×C4 | — | 60 | 1 | no | — |
| 870 | C2×C4 | — | 60 | 1 | no | — |
| 871 | C2×C4 | — | 60 | 1 | no | — |
| 872 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 873 | C8 | — | 2 | 1 | no | — |
| 874 | C8 | — | 2 | 1 | no | — |
| 875 | C8 | — | 5 | 1 | no | — |
| 876 | C8 | — | 5 | 1 | no | — |
| 877 | C8 | — | 10 | 1 | no | — |
| 878 | C8 | — | 15 | 1 | no | — |
| 879 | C8 | — | 15 | 1 | no | — |
| 880 | C8 | — | 30 | 1 | no | — |
| 881 | C2×C3 | — | 2 | 1 | no | — |
| 882 | C2×C3 | — | 8 | 1 | no | — |
| 883 | C2×C3 | — | 20 | 1 | no | — |
| 884 | C2×C3 | — | 40 | 1 | no | — |
| 885 | C2×C3 | #65924 | 1 | 1 | yes | characteristic |
| 886 | D3 | — | 4 | 1 | no | — |
| 887 | D3 | — | 4 | 1 | no | — |
| 888 | D3 | — | 8 | 1 | no | — |
| 889 | D3 | — | 20 | 1 | no | — |
| 890 | C5 | #80939 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 891 | C22 | — | 4 | 1 | no | — |
| 892 | C22 | — | 6 | 1 | no | — |
| 893 | C22 | — | 6 | 1 | no | — |
| 894 | C22 | — | 8 | 1 | no | — |
| 895 | C22 | — | 10 | 1 | no | — |
| 896 | C22 | — | 12 | 1 | no | — |
| 897 | C22 | — | 20 | 1 | no | — |
| 898 | C22 | — | 24 | 1 | no | — |
| 899 | C22 | — | 30 | 1 | no | — |
| 900 | C22 | — | 40 | 1 | no | — |
| 901 | C22 | — | 48 | 1 | no | — |
| 902 | C22 | — | 240 | 1 | no | — |
| 903 | C22 | — | 240 | 1 | no | — |
| 904 | C22 | #92018 | 1 | 1 | yes | characteristic |
| 905 | C4 | — | 6 | 1 | no | — |
| 906 | C4 | — | 6 | 1 | no | — |
| 907 | C4 | — | 10 | 1 | no | — |
| 908 | C4 | — | 12 | 1 | no | — |
| 909 | C4 | — | 30 | 1 | no | — |
| 910 | C4 | — | 60 | 1 | no | — |
| 911 | C4 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 912 | C4 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 913 | C3 | #10612011 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 914 | C2 | — | 2 | 1 | no | — |
| 915 | C2 | — | 8 | 1 | no | — |
| 916 | C2 | — | 12 | 1 | no | — |
| 917 | C2 | — | 12 | 1 | no | — |
| 918 | C2 | — | 20 | 1 | no | — |
| 919 | C2 | — | 24 | 1 | no | — |
| 920 | C2 | — | 40 | 1 | no | — |
| 921 | C2 | — | 60 | 1 | no | — |
| 922 | C2 | #11753233 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11754720 | C2 | semidirect |
| 2. #11754697 | C2 | semidirect |
| 3. #11754038 | C2 | semidirect |
| 4. #11754023 | C2 | semidirect |
| 5. #11750849 | C2 | semidirect |
| 6. C5×#4747 | C2 | semidirect |
| 7. C3×#65038 | C2 | semidirect |
| 8. #11749165 | C2 | semidirect |
| 9. #11749071 | C2 | semidirect |
| 10. #11748254 | C2 | semidirect |
| 11. #11748250 | C2 | semidirect |
| 12. #11748213 | C2 | semidirect |
| 13. #11748202 | C2 | semidirect |
| 14. #11748189 | C2 | semidirect |
| 15. #11748177 | C2 | semidirect |
| 17. C5×#1004 | C22 | semidirect |
| 18. #92018 | C22 | semidirect |
| 20. #92001 | C22 | semidirect |
| 21. C2×#6716 | C22 | semidirect |
| 23. #91798 | C22 | semidirect |
| 24. #91796 | C22 | semidirect |
| 25. C5×#940 | C22 | semidirect |
| 27. C5×#908 | C22 | semidirect |
| 28. C3×#4078 | C22 | semidirect |
| 29. C2×C3×#686 | C22 | semidirect |
| 30. C3×#4054 | C22 | semidirect |
| 31. C3×#4053 | C22 | semidirect |
| 40. #91364 | C22 | semidirect |
| 41. #91322 | C22 | semidirect |
| 42. C2×#6659 | C22 | semidirect |
| 44. #91298 | C22 | semidirect |
| 46. C2×#6652 | C22 | semidirect |
| 47. #91288 | C22 | semidirect |
| 48. #91286 | C22 | semidirect |
| 57. C3×C5×#100 | C22 | semidirect |
| 58. #91108 | C22 | semidirect |
| 59. #91106 | C22 | semidirect |
| 60. C5×#825 | C22 | semidirect |
| 61. C5×#825 | C22 | semidirect |
| 62. C3×#3955 | C22 | semidirect |
| 63. C3×#3954 | C22 | semidirect |
| 64. #90980 | C22 | semidirect |
| 65. #90977 | C22 | semidirect |
| 66. #90959 | C22 | semidirect |
| 67. #90953 | C22 | semidirect |
| 82. #65038 | D3 | semidirect |
| 142. #6663 | D4 | semidirect |
| 143. #6661 | D4 | semidirect |
| 144. #6660 | D4 | semidirect |
| 148. #6659 | D4 | semidirect |
| 149. #6656 | D4 | semidirect |
| 151. #6655 | D4 | semidirect |
| 152. #6654 | D4 | semidirect |
| 156. #6652 | D4 | semidirect |
| 174. #4747 | D5 | semidirect |
| 199. #4078 | C2×D3 | semidirect |
| 202. C2×#686 | C2×D3 | semidirect |
| 212. #4054 | C2×D3 | semidirect |
| 214. #4053 | C2×D3 | semidirect |
| 218. C5×#100 | C2×D3 | semidirect |
| 221. #3955 | C2×D3 | semidirect |
| 223. #3954 | C2×D3 | semidirect |
| 286. #1004 | C2×D5 | semidirect |
| 292. #940 | C2×D5 | semidirect |
| 315. #908 | C2×D5 | semidirect |
| 325. C3×#100 | C2×D5 | semidirect |
| 328. #825 | C2×D5 | semidirect |
| 329. #825 | C2×D5 | semidirect |
| 629. #100 | D3×D5 | semidirect |
| 794. C3×C5 | #3288 | semidirect |
| 890. C5 | #80939 | semidirect |
| 913. C3 | #10612011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11754720 | 2 |
| #11754697 | 2 |
| #11754038 | 2 |
| #11754023 | 2 |
| #11750849 | 2 |
| C5×#4747 | 2 |
| C3×#65038 | 2 |
| #11749165 | 2 |
| #11749071 | 2 |
| #11748254 | 2 |
| #11748250 | 2 |
| #11748213 | 2 |
| #11748202 | 2 |
| #11748189 | 2 |
| #11748177 | 2 |
| #10612011 | 3 |
| #80939 | 5 |