Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
896 conjugacy classes of subgroups.
The subgroup lattice has 896 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11754040 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11754025 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11754008 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11753972 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11750999 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C5×#4896 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#65183 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11748261 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11748260 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11748257 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11748245 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11748217 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11748216 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11748079 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11748026 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10612676 | — | 3 | 1 | no | maximal, Hall |
| 17 | #92019 | C22 | 1 | 1 | yes | characteristic |
| 18 | #92001 | C22 | 1 | 1 | yes | characteristic |
| 19 | #92000 | C22 | 1 | 1 | yes | characteristic |
| 20 | #92000 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #91798 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #91797 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#6706 | C22 | 1 | 1 | yes | characteristic |
| 24 | #91790 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C5×#909 | C22 | 1 | 1 | yes | characteristic |
| 26 | C5×#909 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C5×Dic12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C5×#901 | C22 | 1 | 1 | yes | characteristic |
| 29 | C3×#4053 | C22 | 1 | 1 | yes | characteristic |
| 30 | C3×#4053 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3×#4050 | C22 | 1 | 1 | yes | characteristic |
| 32 | #91376 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #91375 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#6663 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C2×#6660 | C22 | 1 | 1 | yes | characteristic |
| 36 | #91313 | C22 | 1 | 1 | yes | characteristic |
| 37 | #91307 | C22 | 1 | 1 | yes | characteristic |
| 38 | #91307 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #91303 | C22 | 1 | 1 | yes | characteristic |
| 40 | #91301 | C22 | 1 | 1 | yes | characteristic |
| 41 | #91278 | — | 2 | 1 | no | — |
| 42 | #91278 | — | 2 | 1 | no | — |
| 43 | #91277 | — | 2 | 1 | no | — |
| 44 | #91272 | — | 2 | 1 | no | — |
| 45 | #91271 | — | 2 | 1 | no | — |
| 46 | #91269 | — | 2 | 1 | no | — |
| 47 | #91264 | — | 2 | 1 | no | — |
| 48 | #91263 | — | 2 | 1 | no | — |
| 49 | #91261 | — | 2 | 1 | no | — |
| 50 | #91261 | — | 2 | 1 | no | — |
| 51 | #91260 | — | 2 | 1 | no | — |
| 52 | D5×Dic12 | — | 2 | 1 | no | — |
| 53 | #91254 | — | 2 | 1 | no | — |
| 54 | D3×#677 | — | 2 | 1 | no | — |
| 55 | #91249 | — | 2 | 1 | no | — |
| 56 | D5×#204 | — | 2 | 1 | no | — |
| 57 | C3×C5×#108 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #91108 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #91107 | C22 | 1 | 1 | yes | characteristic |
| 60 | C5×#824 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C5×#824 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | C3×#3957 | C22 | 1 | 1 | yes | characteristic |
| 63 | C3×#3957 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | C3×#3947 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #90991 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #90981 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #90979 | C22 | 1 | 1 | yes | characteristic |
| 68 | #79901 | — | 5 | 1 | no | maximal, Hall |
| 69 | #66113 | — | 3 | 1 | no | — |
| 70 | #66112 | — | 3 | 1 | no | — |
| 71 | #66100 | — | 3 | 1 | no | — |
| 72 | #66085 | — | 3 | 1 | no | — |
| 73 | C5×#473 | — | 3 | 1 | no | — |
| 74 | #65494 | — | 3 | 1 | no | — |
| 75 | #65491 | — | 3 | 1 | no | — |
| 76 | #65479 | — | 3 | 1 | no | — |
| 77 | #65434 | — | 3 | 1 | no | — |
| 78 | #65187 | — | 3 | 1 | no | — |
| 79 | #65183 | D3 | 1 | 1 | yes | characteristic, complemented |
| 80 | #65044 | — | 3 | 1 | no | — |
| 81 | #65043 | — | 3 | 1 | no | — |
| 82 | #65042 | — | 3 | 1 | no | — |
| 83 | #65041 | — | 3 | 1 | no | — |
| 84 | #6817 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×Dic30 | C23 | 1 | 1 | yes | characteristic |
| 87 | C5×#235 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×C5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×C5×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 90 | C3×#709 | C23 | 1 | 1 | yes | characteristic |
| 91 | C3×#709 | C23 | 1 | 1 | yes | characteristic |
| 92 | #6790 | — | 4 | 1 | no | — |
| 93 | #6780 | — | 4 | 1 | no | — |
| 94 | #6779 | — | 4 | 1 | no | — |
| 95 | #6779 | — | 4 | 1 | no | — |
| 96 | D3×D20 | — | 2 | 1 | no | — |
| 97 | D5×D12 | — | 2 | 1 | no | — |
| 98 | #6773 | — | 2 | 1 | no | — |
| 99 | #6773 | — | 2 | 1 | no | — |
| 100 | #6773 | — | 2 | 1 | no | — |
| 101 | #6772 | — | 2 | 1 | no | — |
| 102 | D15⋊Q8 | — | 2 | 1 | no | — |
| 103 | D15⋊Q8 | — | 2 | 1 | no | — |
| 104 | #6769 | — | 2 | 1 | no | — |
| 105 | D3×Dic10 | — | 2 | 1 | no | — |
| 106 | #6766 | — | 2 | 1 | no | — |
| 107 | #6766 | — | 2 | 1 | no | — |
| 108 | #6765 | — | 2 | 1 | no | — |
| 109 | D5×Dic6 | — | 2 | 1 | no | — |
| 110 | D5×Dic6 | — | 2 | 1 | no | — |
| 111 | D5×Dic6 | — | 2 | 1 | no | — |
| 112 | C3×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 113 | C3×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 114 | C2×C3×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 115 | #6710 | C23 | 1 | 1 | yes | characteristic |
| 116 | Dic60 | — | 2 | 1 | no | — |
| 117 | D120 | — | 2 | 1 | no | — |
| 118 | #6706 | — | 2 | 1 | no | — |
| 119 | #6706 | — | 2 | 1 | no | — |
| 120 | #6706 | — | 2 | 1 | no | — |
| 121 | #6706 | — | 2 | 1 | no | — |
| 122 | #6705 | — | 2 | 1 | no | — |
| 123 | C8×D15 | — | 2 | 1 | no | — |
| 124 | C5×#208 | C23 | 1 | 1 | yes | characteristic |
| 125 | C5×Dic12 | — | 2 | 1 | no | — |
| 126 | C5×Dic12 | — | 2 | 1 | no | — |
| 127 | C5×Dic12 | — | 2 | 1 | no | — |
| 128 | C5×Dic12 | — | 2 | 1 | no | — |
| 129 | C5×#204 | — | 2 | 1 | no | — |
| 130 | C5×#204 | — | 2 | 1 | no | — |
| 131 | C5×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 132 | C5×D3×C8 | — | 2 | 1 | no | — |
| 133 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×C3×#168 | C23 | 1 | 1 | yes | characteristic |
| 135 | C3×Dic20 | D4 | 1 | 1 | yes | characteristic |
| 136 | C3×D40 | D4 | 1 | 1 | yes | characteristic |
| 137 | C3×#677 | D4 | 1 | 1 | yes | characteristic |
| 138 | C3×#677 | D4 | 1 | 1 | yes | characteristic |
| 139 | C3×#676 | — | 2 | 1 | no | — |
| 140 | C3×#676 | — | 2 | 1 | no | — |
| 141 | C3×C8×D5 | — | 2 | 1 | no | — |
| 142 | C3×C8×D5 | — | 2 | 1 | no | — |
| 143 | #6668 | — | 4 | 1 | no | — |
| 144 | #6667 | — | 4 | 1 | no | — |
| 145 | #6663 | — | 2 | 1 | no | — |
| 146 | #6663 | — | 2 | 1 | no | — |
| 147 | #6663 | D4 | 1 | 1 | yes | characteristic |
| 148 | #6662 | — | 2 | 1 | no | — |
| 149 | #6661 | — | 2 | 1 | no | — |
| 150 | #6661 | — | 2 | 1 | no | — |
| 151 | #6660 | — | 2 | 1 | no | — |
| 152 | #6660 | — | 2 | 1 | no | — |
| 153 | #6660 | D4 | 1 | 1 | yes | characteristic |
| 154 | #6659 | D4 | 1 | 1 | yes | characteristic |
| 155 | #6658 | — | 2 | 1 | no | — |
| 156 | #6657 | — | 2 | 1 | no | — |
| 157 | #6655 | — | 2 | 1 | no | — |
| 158 | #6655 | — | 2 | 1 | no | — |
| 159 | #6654 | D4 | 1 | 1 | yes | characteristic |
| 160 | #6653 | — | 2 | 1 | no | — |
| 161 | #5771 | — | 5 | 1 | no | — |
| 162 | #5770 | — | 5 | 1 | no | — |
| 163 | #5753 | — | 5 | 1 | no | — |
| 164 | #5751 | — | 5 | 1 | no | — |
| 165 | C3×#444 | — | 5 | 1 | no | — |
| 166 | #5143 | — | 5 | 1 | no | — |
| 167 | #5141 | — | 5 | 1 | no | — |
| 168 | #4898 | — | 5 | 1 | no | — |
| 169 | #4896 | D5 | 1 | 1 | yes | characteristic, complemented |
| 170 | #4827 | — | 5 | 1 | no | — |
| 171 | #4826 | — | 5 | 1 | no | — |
| 172 | #4826 | — | 5 | 1 | no | — |
| 173 | #4825 | — | 5 | 1 | no | — |
| 174 | #4717 | — | 5 | 1 | no | — |
| 175 | #4715 | — | 5 | 1 | no | — |
| 176 | #4150 | — | 3 | 1 | no | — |
| 177 | #4149 | — | 3 | 1 | no | — |
| 178 | #4147 | — | 3 | 1 | no | — |
| 179 | #4147 | — | 3 | 1 | no | — |
| 180 | C5×#137 | — | 3 | 1 | no | — |
| 181 | C5×#137 | — | 3 | 1 | no | — |
| 182 | C2×C5×Q16 | — | 3 | 1 | no | — |
| 183 | C5×#131 | — | 3 | 1 | no | — |
| 184 | #4096 | — | 3 | 1 | no | — |
| 185 | #4093 | — | 3 | 1 | no | — |
| 186 | #4090 | — | 3 | 1 | no | — |
| 187 | C2×#689 | — | 3 | 1 | no | — |
| 188 | #4088 | — | 3 | 1 | no | — |
| 189 | #4088 | — | 3 | 1 | no | — |
| 190 | C2×#688 | — | 3 | 1 | no | — |
| 191 | #4065 | — | 6 | 1 | no | — |
| 192 | #4065 | — | 6 | 1 | no | — |
| 193 | #4064 | — | 6 | 1 | no | — |
| 194 | #4064 | — | 6 | 1 | no | — |
| 195 | #4064 | — | 6 | 1 | no | — |
| 196 | #4064 | — | 6 | 1 | no | — |
| 197 | D5×Q16 | — | 6 | 1 | no | — |
| 198 | D5×Q16 | — | 6 | 1 | no | — |
| 199 | #4062 | — | 6 | 1 | no | — |
| 200 | #4061 | — | 6 | 1 | no | — |
| 201 | #4060 | — | 6 | 1 | no | — |
| 202 | D5×SD16 | — | 6 | 1 | no | — |
| 203 | #4055 | — | 3 | 1 | no | — |
| 204 | #4055 | — | 3 | 1 | no | — |
| 205 | #4055 | — | 6 | 1 | no | — |
| 206 | #4054 | — | 3 | 1 | no | — |
| 207 | #4054 | — | 3 | 1 | no | — |
| 208 | #4054 | — | 6 | 1 | no | — |
| 209 | #4053 | C2×D3 | 1 | 1 | yes | characteristic |
| 210 | #4053 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 211 | #4050 | — | 6 | 1 | no | — |
| 212 | #4050 | C2×D3 | 1 | 1 | yes | characteristic |
| 213 | C2×#677 | — | 3 | 1 | no | — |
| 214 | C2×#677 | — | 6 | 1 | no | — |
| 215 | #4047 | — | 3 | 1 | no | — |
| 216 | C5×#108 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 217 | C5×#101 | — | 3 | 1 | no | — |
| 218 | C5×#101 | — | 3 | 1 | no | — |
| 219 | #3969 | — | 3 | 1 | no | — |
| 220 | #3957 | — | 3 | 1 | no | — |
| 221 | #3957 | C2×D3 | 1 | 1 | yes | characteristic |
| 222 | #3957 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 223 | #3956 | — | 3 | 1 | no | — |
| 224 | #3955 | — | 3 | 1 | no | — |
| 225 | #3954 | — | 3 | 1 | no | — |
| 226 | #3947 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 227 | #3289 | — | 15 | 1 | no | Sylow |
| 228 | C22×D15 | — | 2 | 1 | no | — |
| 229 | C2×D3×D5 | — | 4 | 1 | no | — |
| 230 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 231 | #1220 | — | 2 | 1 | no | — |
| 232 | C2×Dic15 | — | 2 | 1 | no | — |
| 233 | D60 | — | 2 | 1 | no | — |
| 234 | D60 | — | 2 | 1 | no | — |
| 235 | D60 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C4×D15 | — | 2 | 1 | no | — |
| 237 | Dic30 | — | 2 | 1 | no | — |
| 238 | Dic30 | — | 2 | 1 | no | — |
| 239 | Dic30 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C5×#67 | — | 2 | 1 | no | — |
| 241 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 242 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 243 | C5×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C4×C5×D3 | — | 2 | 1 | no | — |
| 245 | C5×Dic6 | — | 2 | 1 | no | — |
| 246 | C5×Dic6 | — | 2 | 1 | no | — |
| 247 | C5×Dic6 | — | 2 | 1 | no | — |
| 248 | C5×Dic6 | — | 2 | 1 | no | — |
| 249 | C5×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 251 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 252 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 253 | C3×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C3×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C3×C4×D5 | — | 2 | 1 | no | — |
| 256 | C3×C4×D5 | — | 2 | 1 | no | — |
| 257 | C3×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | C3×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | #1204 | — | 4 | 1 | no | — |
| 260 | #1204 | — | 4 | 1 | no | — |
| 261 | #1204 | — | 4 | 1 | no | — |
| 262 | #1203 | — | 4 | 1 | no | — |
| 263 | #1202 | — | 4 | 1 | no | — |
| 264 | #1202 | — | 4 | 1 | no | — |
| 265 | #1202 | — | 4 | 1 | no | — |
| 266 | #1201 | — | 4 | 1 | no | — |
| 267 | #1200 | — | 4 | 1 | no | — |
| 268 | #1200 | — | 4 | 1 | no | — |
| 269 | #1200 | — | 4 | 1 | no | — |
| 270 | D3×Dic5 | — | 4 | 1 | no | — |
| 271 | D5×Dic3 | — | 4 | 1 | no | — |
| 272 | D5×Dic3 | — | 4 | 1 | no | — |
| 273 | D5×Dic3 | — | 4 | 1 | no | — |
| 274 | C3×C5×C8 | — | 2 | 1 | no | — |
| 275 | C3×C5×C8 | — | 2 | 1 | no | — |
| 276 | C3×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 277 | C3×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 278 | C3⋊#168 | — | 2 | 1 | no | — |
| 279 | C3×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | C3×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 282 | #1010 | — | 5 | 1 | no | — |
| 283 | #1010 | — | 5 | 1 | no | — |
| 284 | #1010 | — | 5 | 1 | no | — |
| 285 | #1009 | — | 5 | 1 | no | — |
| 286 | C3×#135 | — | 5 | 1 | no | — |
| 287 | C3×#131 | — | 5 | 1 | no | — |
| 288 | C3×#131 | — | 5 | 1 | no | — |
| 289 | #951 | — | 5 | 1 | no | — |
| 290 | #951 | — | 5 | 1 | no | — |
| 291 | #951 | — | 5 | 1 | no | — |
| 292 | #949 | — | 5 | 1 | no | — |
| 293 | #918 | — | 10 | 1 | no | — |
| 294 | D3×Q16 | — | 10 | 1 | no | — |
| 295 | #916 | — | 10 | 1 | no | — |
| 296 | #915 | — | 10 | 1 | no | — |
| 297 | #915 | — | 10 | 1 | no | — |
| 298 | D3×SD16 | — | 10 | 1 | no | — |
| 299 | #912 | — | 10 | 1 | no | — |
| 300 | #911 | — | 10 | 1 | no | — |
| 301 | #909 | — | 5 | 1 | no | — |
| 302 | #909 | — | 10 | 1 | no | — |
| 303 | #909 | — | 10 | 1 | no | — |
| 304 | #909 | — | 10 | 1 | no | — |
| 305 | #909 | C2×D5 | 1 | 1 | yes | characteristic |
| 306 | #909 | C2×D5 | 1 | 1 | yes | characteristic |
| 307 | #908 | — | 5 | 1 | no | — |
| 308 | #908 | — | 10 | 1 | no | — |
| 309 | C2×Dic12 | — | 5 | 1 | no | — |
| 310 | C2×Dic12 | — | 10 | 1 | no | — |
| 311 | C2×Dic12 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 312 | #904 | — | 5 | 1 | no | — |
| 313 | #904 | — | 10 | 1 | no | — |
| 314 | #904 | — | 10 | 1 | no | — |
| 315 | C2×#204 | — | 5 | 1 | no | — |
| 316 | C2×#204 | — | 5 | 1 | no | — |
| 317 | C2×#204 | — | 10 | 1 | no | — |
| 318 | #901 | — | 5 | 1 | no | — |
| 319 | #901 | C2×D5 | 1 | 1 | yes | characteristic |
| 320 | #875 | — | 5 | 1 | no | — |
| 321 | #869 | — | 5 | 1 | no | — |
| 322 | C3×#108 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 323 | C3×#104 | — | 5 | 1 | no | — |
| 324 | C3×#104 | — | 5 | 1 | no | — |
| 325 | C3×#97 | — | 5 | 1 | no | — |
| 326 | #824 | — | 5 | 1 | no | — |
| 327 | #824 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 328 | #824 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 329 | #823 | — | 5 | 1 | no | — |
| 330 | #819 | — | 5 | 1 | no | — |
| 331 | #805 | — | 5 | 1 | no | — |
| 332 | #805 | — | 5 | 1 | no | — |
| 333 | C5×#41 | — | 3 | 1 | no | — |
| 334 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 335 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 336 | #713 | — | 6 | 1 | no | — |
| 337 | #713 | — | 6 | 1 | no | — |
| 338 | #713 | — | 6 | 1 | no | — |
| 339 | #713 | — | 6 | 1 | no | — |
| 340 | #713 | — | 6 | 1 | no | — |
| 341 | Q8×D5 | — | 6 | 1 | no | — |
| 342 | Q8×D5 | — | 6 | 1 | no | — |
| 343 | Q8×D5 | — | 6 | 1 | no | — |
| 344 | Q8×D5 | — | 6 | 1 | no | — |
| 345 | Q8×D5 | — | 6 | 1 | no | — |
| 346 | #711 | — | 6 | 1 | no | — |
| 347 | #711 | — | 12 | 1 | no | — |
| 348 | D4×D5 | — | 6 | 1 | no | — |
| 349 | D4×D5 | — | 12 | 1 | no | — |
| 350 | #709 | — | 3 | 1 | no | — |
| 351 | #709 | — | 6 | 1 | no | — |
| 352 | #709 | — | 6 | 1 | no | — |
| 353 | #709 | — | 12 | 1 | no | — |
| 354 | #709 | — | 12 | 1 | no | — |
| 355 | #709 | C22×D3 | 1 | 1 | yes | characteristic |
| 356 | #709 | C22×D3 | 1 | 1 | yes | characteristic |
| 357 | C2×D20 | — | 3 | 1 | no | — |
| 358 | C2×D20 | — | 6 | 1 | no | — |
| 359 | C2×Dic10 | — | 3 | 1 | no | — |
| 360 | C2×Dic10 | — | 6 | 1 | no | — |
| 361 | C5×Q16 | — | 6 | 1 | no | — |
| 362 | C5×Q16 | — | 6 | 1 | no | — |
| 363 | C5×Q16 | — | 6 | 1 | no | — |
| 364 | C5×Q16 | — | 6 | 1 | no | — |
| 365 | C5×SD16 | — | 6 | 1 | no | — |
| 366 | C5×SD16 | — | 6 | 1 | no | — |
| 367 | C5×M16 | — | 3 | 1 | no | — |
| 368 | C5×M16 | — | 6 | 1 | no | — |
| 369 | C5×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 370 | C5×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 371 | C2×C5×C8 | — | 6 | 1 | no | — |
| 372 | C2×C5×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 373 | #689 | — | 3 | 1 | no | — |
| 374 | #689 | — | 6 | 1 | no | — |
| 375 | #689 | — | 6 | 1 | no | — |
| 376 | #689 | — | 6 | 1 | no | — |
| 377 | #689 | — | 6 | 1 | no | — |
| 378 | #688 | — | 3 | 1 | no | — |
| 379 | #688 | — | 6 | 1 | no | — |
| 380 | #688 | — | 6 | 1 | no | — |
| 381 | #688 | — | 6 | 1 | no | — |
| 382 | #688 | — | 6 | 1 | no | — |
| 383 | #687 | — | 3 | 1 | no | — |
| 384 | #686 | — | 3 | 1 | no | — |
| 385 | #685 | — | 12 | 1 | no | — |
| 386 | #683 | — | 12 | 1 | no | — |
| 387 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 388 | #681 | — | 3 | 1 | no | — |
| 389 | C2×#168 | C22×D3 | 1 | 1 | yes | characteristic |
| 390 | Dic20 | — | 6 | 1 | no | — |
| 391 | Dic20 | — | 6 | 1 | no | — |
| 392 | Dic20 | D12 | 1 | 1 | yes | characteristic |
| 393 | D40 | — | 6 | 1 | no | — |
| 394 | D40 | — | 6 | 1 | no | — |
| 395 | D40 | D12 | 1 | 1 | yes | characteristic |
| 396 | #677 | — | 6 | 1 | no | — |
| 397 | #677 | — | 6 | 1 | no | — |
| 398 | #677 | — | 6 | 1 | no | — |
| 399 | #677 | — | 6 | 1 | no | — |
| 400 | #677 | — | 6 | 1 | no | — |
| 401 | #677 | — | 6 | 1 | no | — |
| 402 | #677 | D12 | 1 | 1 | yes | characteristic |
| 403 | #677 | D12 | 1 | 1 | yes | characteristic |
| 404 | #676 | — | 2 | 1 | no | — |
| 405 | #676 | — | 2 | 1 | no | — |
| 406 | #676 | — | 6 | 1 | no | — |
| 407 | C8×D5 | — | 2 | 1 | no | — |
| 408 | C8×D5 | — | 2 | 1 | no | — |
| 409 | C8×D5 | — | 6 | 1 | no | — |
| 410 | #578 | — | 15 | 1 | no | — |
| 411 | #578 | — | 15 | 1 | no | — |
| 412 | #577 | — | 15 | 1 | no | — |
| 413 | #577 | — | 15 | 1 | no | — |
| 414 | #497 | — | 15 | 1 | no | — |
| 415 | #473 | — | 3 | 1 | no | — |
| 416 | #473 | — | 15 | 1 | no | — |
| 417 | #471 | — | 15 | 1 | no | — |
| 418 | #471 | — | 15 | 1 | no | — |
| 419 | #456 | — | 15 | 1 | no | — |
| 420 | #456 | — | 15 | 1 | no | — |
| 421 | #455 | — | 15 | 1 | no | — |
| 422 | #454 | — | 15 | 1 | no | — |
| 423 | #444 | — | 5 | 1 | no | — |
| 424 | #444 | — | 15 | 1 | no | — |
| 425 | C22×C3×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 426 | C2×D15 | — | 2 | 1 | no | — |
| 427 | C2×D15 | — | 4 | 1 | no | — |
| 428 | C2×D15 | — | 8 | 1 | no | — |
| 429 | C2×C5×D3 | — | 2 | 1 | no | — |
| 430 | C2×C3×D5 | — | 2 | 1 | no | — |
| 431 | C2×C3×D5 | — | 2 | 1 | no | — |
| 432 | D3×D5 | — | 16 | 1 | no | — |
| 433 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 434 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 435 | Dic15 | — | 2 | 1 | no | — |
| 436 | Dic15 | — | 4 | 1 | no | — |
| 437 | C3×Dic5 | — | 2 | 1 | no | — |
| 438 | C3×Dic5 | — | 2 | 1 | no | — |
| 439 | C3×Dic5 | — | 4 | 1 | no | — |
| 440 | C5×Dic3 | — | 2 | 1 | no | — |
| 441 | C5×Dic3 | — | 4 | 1 | no | — |
| 442 | C5×Dic3 | — | 4 | 1 | no | — |
| 443 | C3×#41 | — | 5 | 1 | no | — |
| 444 | C3×#41 | — | 5 | 1 | no | — |
| 445 | #239 | — | 10 | 1 | no | — |
| 446 | D3×Q8 | — | 10 | 1 | no | — |
| 447 | D3×Q8 | — | 10 | 1 | no | — |
| 448 | D3×Q8 | — | 10 | 1 | no | — |
| 449 | #237 | — | 10 | 1 | no | — |
| 450 | #237 | — | 10 | 1 | no | — |
| 451 | #237 | — | 10 | 1 | no | — |
| 452 | #237 | — | 20 | 1 | no | — |
| 453 | #237 | — | 20 | 1 | no | — |
| 454 | #237 | — | 20 | 1 | no | — |
| 455 | D3×D4 | — | 10 | 1 | no | — |
| 456 | D3×D4 | — | 20 | 1 | no | — |
| 457 | #235 | — | 5 | 1 | no | — |
| 458 | #235 | — | 10 | 1 | no | — |
| 459 | #235 | — | 10 | 1 | no | — |
| 460 | #235 | — | 10 | 1 | no | — |
| 461 | #235 | — | 10 | 1 | no | — |
| 462 | #235 | C22×D5 | 1 | 1 | yes | characteristic |
| 463 | C2×D12 | — | 5 | 1 | no | — |
| 464 | C2×D12 | — | 10 | 1 | no | — |
| 465 | C2×Dic6 | — | 5 | 1 | no | — |
| 466 | C2×Dic6 | — | 10 | 1 | no | — |
| 467 | C2×Dic6 | — | 10 | 1 | no | — |
| 468 | C2×Dic6 | — | 10 | 1 | no | — |
| 469 | C2×Dic6 | C22×D5 | 1 | 1 | yes | characteristic |
| 470 | C2×Dic6 | C22×D5 | 1 | 1 | yes | characteristic |
| 471 | C3×Q16 | — | 5 | 1 | no | — |
| 472 | C3×SD16 | — | 5 | 1 | no | — |
| 473 | C3×SD16 | — | 5 | 1 | no | — |
| 474 | C3×D8 | — | 5 | 1 | no | — |
| 475 | C3×M16 | — | 10 | 1 | no | — |
| 476 | C3×M16 | — | 10 | 1 | no | — |
| 477 | C3×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 478 | C3×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 479 | C2×C3×C8 | — | 5 | 1 | no | — |
| 480 | C2×C3×C8 | — | 10 | 1 | no | — |
| 481 | C2×C3×C8 | — | 10 | 1 | no | — |
| 482 | C2×C3×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 483 | C3×C42 | — | 5 | 1 | no | — |
| 484 | #216 | — | 10 | 1 | no | — |
| 485 | #216 | — | 10 | 1 | no | — |
| 486 | #216 | — | 10 | 1 | no | — |
| 487 | #215 | — | 10 | 1 | no | — |
| 488 | #214 | — | 10 | 1 | no | — |
| 489 | #214 | — | 10 | 1 | no | — |
| 490 | #214 | — | 10 | 1 | no | — |
| 491 | #213 | — | 10 | 1 | no | — |
| 492 | (C2×D3)⋊C4 | — | 20 | 1 | no | — |
| 493 | C4⋊Dic3 | — | 20 | 1 | no | — |
| 494 | #208 | — | 5 | 1 | no | — |
| 495 | #208 | C22×D5 | 1 | 1 | yes | characteristic |
| 496 | Dic12 | — | 2 | 1 | no | — |
| 497 | Dic12 | — | 2 | 1 | no | — |
| 498 | Dic12 | — | 2 | 1 | no | — |
| 499 | Dic12 | — | 2 | 1 | no | — |
| 500 | Dic12 | — | 5 | 1 | no | — |
| 501 | Dic12 | — | 10 | 1 | no | — |
| 502 | Dic12 | — | 10 | 1 | no | — |
| 503 | Dic12 | — | 10 | 1 | no | — |
| 504 | D24 | — | 5 | 1 | no | — |
| 505 | D24 | — | 10 | 1 | no | — |
| 506 | #204 | — | 2 | 1 | no | — |
| 507 | #204 | — | 2 | 1 | no | — |
| 508 | #204 | — | 5 | 1 | no | — |
| 509 | #204 | — | 5 | 1 | no | — |
| 510 | #204 | — | 10 | 1 | no | — |
| 511 | #204 | — | 10 | 1 | no | — |
| 512 | #204 | — | 10 | 1 | no | — |
| 513 | #204 | — | 10 | 1 | no | — |
| 514 | #204 | — | 10 | 1 | no | — |
| 515 | #204 | — | 10 | 1 | no | — |
| 516 | ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 517 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 518 | D3×C8 | — | 2 | 1 | no | — |
| 519 | D3×C8 | — | 10 | 1 | no | — |
| 520 | C22×D5 | — | 6 | 1 | no | — |
| 521 | C22×D5 | — | 12 | 1 | no | — |
| 522 | C5×Q8 | — | 3 | 1 | no | — |
| 523 | C5×Q8 | — | 6 | 1 | no | — |
| 524 | C5×Q8 | — | 6 | 1 | no | — |
| 525 | C5×Q8 | — | 6 | 1 | no | — |
| 526 | C5×Q8 | — | 6 | 1 | no | — |
| 527 | C5×D4 | — | 3 | 1 | no | — |
| 528 | C5×D4 | — | 6 | 1 | no | — |
| 529 | C2×C4×C5 | — | 6 | 1 | no | — |
| 530 | C2×C4×C5 | — | 6 | 1 | no | — |
| 531 | C2×C4×C5 | — | 6 | 1 | no | — |
| 532 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 533 | C22⋊D5 | — | 2 | 1 | no | — |
| 534 | C22⋊D5 | — | 2 | 1 | no | — |
| 535 | C22⋊D5 | — | 6 | 1 | no | — |
| 536 | C22⋊D5 | — | 12 | 1 | no | — |
| 537 | C22⋊D5 | — | 12 | 1 | no | — |
| 538 | C2×Dic5 | — | 2 | 1 | no | — |
| 539 | C2×Dic5 | — | 6 | 1 | no | — |
| 540 | C2×Dic5 | — | 12 | 1 | no | — |
| 541 | D20 | — | 3 | 1 | no | — |
| 542 | D20 | — | 6 | 1 | no | — |
| 543 | D20 | — | 6 | 1 | no | — |
| 544 | D20 | — | 12 | 1 | no | — |
| 545 | D20 | — | 12 | 1 | no | — |
| 546 | D20 | — | 12 | 1 | no | — |
| 547 | D20 | C2×D12 | 1 | 1 | yes | characteristic |
| 548 | D20 | C2×D12 | 1 | 1 | yes | characteristic |
| 549 | C4×D5 | — | 2 | 1 | no | — |
| 550 | C4×D5 | — | 2 | 1 | no | — |
| 551 | C4×D5 | — | 6 | 1 | no | — |
| 552 | C4×D5 | — | 12 | 1 | no | — |
| 553 | C4×D5 | — | 12 | 1 | no | — |
| 554 | C4×D5 | — | 12 | 1 | no | — |
| 555 | C4×D5 | — | 12 | 1 | no | — |
| 556 | C4×D5 | — | 12 | 1 | no | — |
| 557 | C4×D5 | — | 12 | 1 | no | — |
| 558 | Dic10 | — | 3 | 1 | no | — |
| 559 | Dic10 | — | 6 | 1 | no | — |
| 560 | Dic10 | — | 6 | 1 | no | — |
| 561 | Dic10 | — | 12 | 1 | no | — |
| 562 | Dic10 | — | 12 | 1 | no | — |
| 563 | Dic10 | — | 12 | 1 | no | — |
| 564 | Dic10 | C2×D12 | 1 | 1 | yes | characteristic |
| 565 | Dic10 | C2×D12 | 1 | 1 | yes | characteristic |
| 566 | C5×C8 | — | 2 | 1 | no | — |
| 567 | C5×C8 | — | 2 | 1 | no | — |
| 568 | C5×C8 | — | 6 | 1 | no | — |
| 569 | C5×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 570 | C5×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 571 | #168 | — | 6 | 1 | no | — |
| 572 | #168 | D3×D4 | 1 | 1 | yes | characteristic |
| 573 | #168 | D3×D4 | 1 | 1 | yes | characteristic |
| 574 | 2−1+4 | — | 15 | 1 | no | — |
| 575 | 2−1+4 | — | 15 | 1 | no | — |
| 576 | 2−1+4 | — | 15 | 1 | no | — |
| 577 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 578 | #137 | — | 3 | 1 | no | — |
| 579 | #137 | — | 3 | 1 | no | — |
| 580 | #137 | — | 15 | 1 | no | — |
| 581 | #137 | — | 15 | 1 | no | — |
| 582 | #137 | — | 15 | 1 | no | — |
| 583 | #137 | — | 15 | 1 | no | — |
| 584 | #137 | — | 30 | 1 | no | — |
| 585 | #137 | — | 30 | 1 | no | — |
| 586 | #137 | — | 30 | 1 | no | — |
| 587 | #137 | — | 30 | 1 | no | — |
| 588 | #137 | — | 30 | 1 | no | — |
| 589 | #137 | — | 30 | 1 | no | — |
| 590 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 591 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 592 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 593 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 594 | #135 | — | 5 | 1 | no | — |
| 595 | #135 | — | 15 | 1 | no | — |
| 596 | #135 | — | 30 | 1 | no | — |
| 597 | #135 | — | 30 | 1 | no | — |
| 598 | #135 | — | 30 | 1 | no | — |
| 599 | #135 | — | 30 | 1 | no | — |
| 600 | C2×Q16 | — | 3 | 1 | no | — |
| 601 | C2×Q16 | — | 15 | 1 | no | — |
| 602 | C2×Q16 | — | 30 | 1 | no | — |
| 603 | C2×Q16 | — | 30 | 1 | no | — |
| 604 | C2×SD16 | — | 15 | 1 | no | — |
| 605 | C2×SD16 | — | 15 | 1 | no | — |
| 606 | C2×SD16 | — | 30 | 1 | no | — |
| 607 | C2×SD16 | — | 30 | 1 | no | — |
| 608 | #131 | — | 3 | 1 | no | — |
| 609 | #131 | — | 5 | 1 | no | — |
| 610 | #131 | — | 5 | 1 | no | — |
| 611 | #131 | — | 15 | 1 | no | — |
| 612 | C4⋊Q8 | — | 15 | 1 | no | — |
| 613 | #124 | — | 15 | 1 | no | — |
| 614 | #108 | — | 15 | 1 | no | — |
| 615 | #108 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 616 | #104 | — | 5 | 1 | no | — |
| 617 | #104 | — | 5 | 1 | no | — |
| 618 | #104 | — | 15 | 1 | no | — |
| 619 | #104 | — | 15 | 1 | no | — |
| 620 | #101 | — | 3 | 1 | no | — |
| 621 | #101 | — | 3 | 1 | no | — |
| 622 | #101 | — | 15 | 1 | no | — |
| 623 | #100 | — | 15 | 1 | no | — |
| 624 | #97 | — | 5 | 1 | no | — |
| 625 | C2×C3×C5 | — | 2 | 1 | no | — |
| 626 | C2×C3×C5 | D42 | 1 | 1 | yes | characteristic |
| 627 | D15 | — | 4 | 1 | no | — |
| 628 | D15 | — | 8 | 1 | no | — |
| 629 | C3×D5 | — | 4 | 1 | no | — |
| 630 | C3×D5 | — | 4 | 1 | no | — |
| 631 | C5×D3 | — | 4 | 1 | no | — |
| 632 | C22×D3 | — | 10 | 1 | no | — |
| 633 | C22×D3 | — | 20 | 1 | no | — |
| 634 | C3×Q8 | — | 5 | 1 | no | — |
| 635 | C3×Q8 | — | 5 | 1 | no | — |
| 636 | C3×D4 | — | 5 | 1 | no | — |
| 637 | C3×D4 | — | 5 | 1 | no | — |
| 638 | C3×D4 | — | 10 | 1 | no | — |
| 639 | C3×D4 | — | 10 | 1 | no | — |
| 640 | C2×C3×C4 | — | 10 | 1 | no | — |
| 641 | C2×C3×C4 | — | 10 | 1 | no | — |
| 642 | C2×C3×C4 | — | 10 | 1 | no | — |
| 643 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 644 | #67 | — | 2 | 1 | no | — |
| 645 | #67 | — | 10 | 1 | no | — |
| 646 | #67 | — | 20 | 1 | no | — |
| 647 | #67 | — | 20 | 1 | no | — |
| 648 | #67 | — | 20 | 1 | no | — |
| 649 | #67 | — | 20 | 1 | no | — |
| 650 | C2×Dic3 | — | 2 | 1 | no | — |
| 651 | C2×Dic3 | — | 2 | 1 | no | — |
| 652 | C2×Dic3 | — | 10 | 1 | no | — |
| 653 | C2×Dic3 | — | 20 | 1 | no | — |
| 654 | C2×Dic3 | — | 20 | 1 | no | — |
| 655 | C2×Dic3 | — | 20 | 1 | no | — |
| 656 | D12 | — | 5 | 1 | no | — |
| 657 | D12 | — | 10 | 1 | no | — |
| 658 | D12 | — | 10 | 1 | no | — |
| 659 | D12 | — | 20 | 1 | no | — |
| 660 | D12 | D4×D5 | 1 | 1 | yes | characteristic |
| 661 | C4×D3 | — | 2 | 1 | no | — |
| 662 | C4×D3 | — | 10 | 1 | no | — |
| 663 | C4×D3 | — | 20 | 1 | no | — |
| 664 | C4×D3 | — | 20 | 1 | no | — |
| 665 | C4×D3 | — | 20 | 1 | no | — |
| 666 | C4×D3 | — | 20 | 1 | no | — |
| 667 | Dic6 | — | 2 | 1 | no | — |
| 668 | Dic6 | — | 2 | 1 | no | — |
| 669 | Dic6 | — | 2 | 1 | no | — |
| 670 | Dic6 | — | 2 | 1 | no | — |
| 671 | Dic6 | — | 5 | 1 | no | — |
| 672 | Dic6 | — | 10 | 1 | no | — |
| 673 | Dic6 | — | 10 | 1 | no | — |
| 674 | Dic6 | — | 20 | 1 | no | — |
| 675 | Dic6 | — | 20 | 1 | no | — |
| 676 | Dic6 | — | 20 | 1 | no | — |
| 677 | Dic6 | D4×D5 | 1 | 1 | yes | characteristic |
| 678 | C3×C8 | — | 2 | 1 | no | — |
| 679 | C3×C8 | — | 2 | 1 | no | — |
| 680 | C3×C8 | — | 5 | 1 | no | — |
| 681 | C3×C8 | — | 5 | 1 | no | — |
| 682 | C3×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 683 | C3×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 684 | C3⋊C8 | — | 2 | 1 | no | — |
| 685 | C3⋊C8 | — | 10 | 1 | no | — |
| 686 | C22×C5 | — | 6 | 1 | no | — |
| 687 | C22×C5 | #1009 | 1 | 1 | yes | characteristic |
| 688 | C2×D5 | — | 2 | 1 | no | — |
| 689 | C2×D5 | — | 2 | 1 | no | — |
| 690 | C2×D5 | — | 6 | 1 | no | — |
| 691 | C2×D5 | — | 12 | 1 | no | — |
| 692 | C2×D5 | — | 24 | 1 | no | — |
| 693 | C2×D5 | — | 48 | 1 | no | — |
| 694 | C4×C5 | — | 6 | 1 | no | — |
| 695 | C4×C5 | — | 12 | 1 | no | — |
| 696 | C4×C5 | — | 12 | 1 | no | — |
| 697 | C4×C5 | C22×D12 | 1 | 1 | yes | characteristic |
| 698 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 699 | Dic5 | — | 2 | 1 | no | — |
| 700 | Dic5 | — | 2 | 1 | no | — |
| 701 | Dic5 | — | 4 | 1 | no | — |
| 702 | Dic5 | — | 6 | 1 | no | — |
| 703 | Dic5 | — | 12 | 1 | no | — |
| 704 | #41 | — | 3 | 1 | no | — |
| 705 | #41 | — | 5 | 1 | no | — |
| 706 | #41 | — | 5 | 1 | no | — |
| 707 | #41 | — | 15 | 1 | no | — |
| 708 | #41 | — | 30 | 1 | no | — |
| 709 | #41 | — | 30 | 1 | no | — |
| 710 | #41 | — | 30 | 1 | no | — |
| 711 | #41 | — | 30 | 1 | no | — |
| 712 | #41 | — | 30 | 1 | no | — |
| 713 | #41 | — | 30 | 1 | no | — |
| 714 | #41 | — | 30 | 1 | no | — |
| 715 | #41 | — | 30 | 1 | no | — |
| 716 | #41 | — | 60 | 1 | no | — |
| 717 | #41 | — | 60 | 1 | no | — |
| 718 | #41 | — | 60 | 1 | no | — |
| 719 | C2×Q8 | — | 3 | 1 | no | — |
| 720 | C2×Q8 | — | 3 | 1 | no | — |
| 721 | C2×Q8 | — | 15 | 1 | no | — |
| 722 | C2×Q8 | — | 30 | 1 | no | — |
| 723 | C2×Q8 | — | 30 | 1 | no | — |
| 724 | C2×Q8 | — | 30 | 1 | no | — |
| 725 | C2×Q8 | — | 30 | 1 | no | — |
| 726 | C2×Q8 | — | 30 | 1 | no | — |
| 727 | C2×Q8 | — | 30 | 1 | no | — |
| 728 | C2×D4 | — | 15 | 1 | no | — |
| 729 | C2×D4 | — | 30 | 1 | no | — |
| 730 | C2×D4 | — | 30 | 1 | no | — |
| 731 | C2×D4 | — | 60 | 1 | no | — |
| 732 | Q16 | — | 5 | 1 | no | — |
| 733 | Q16 | — | 6 | 1 | no | — |
| 734 | Q16 | — | 6 | 1 | no | — |
| 735 | Q16 | — | 6 | 1 | no | — |
| 736 | Q16 | — | 6 | 1 | no | — |
| 737 | Q16 | — | 15 | 1 | no | — |
| 738 | Q16 | — | 30 | 1 | no | — |
| 739 | Q16 | — | 30 | 1 | no | — |
| 740 | Q16 | — | 30 | 1 | no | — |
| 741 | Q16 | — | 30 | 1 | no | — |
| 742 | Q16 | — | 30 | 1 | no | — |
| 743 | Q16 | — | 30 | 1 | no | — |
| 744 | SD16 | — | 5 | 1 | no | — |
| 745 | SD16 | — | 5 | 1 | no | — |
| 746 | SD16 | — | 6 | 1 | no | — |
| 747 | SD16 | — | 6 | 1 | no | — |
| 748 | SD16 | — | 15 | 1 | no | — |
| 749 | SD16 | — | 15 | 1 | no | — |
| 750 | SD16 | — | 30 | 1 | no | — |
| 751 | SD16 | — | 30 | 1 | no | — |
| 752 | SD16 | — | 30 | 1 | no | — |
| 753 | SD16 | — | 30 | 1 | no | — |
| 754 | SD16 | — | 30 | 1 | no | — |
| 755 | SD16 | — | 30 | 1 | no | — |
| 756 | SD16 | — | 30 | 1 | no | — |
| 757 | SD16 | — | 30 | 1 | no | — |
| 758 | SD16 | — | 30 | 1 | no | — |
| 759 | SD16 | — | 30 | 1 | no | — |
| 760 | D8 | — | 5 | 1 | no | — |
| 761 | D8 | — | 15 | 1 | no | — |
| 762 | D8 | — | 30 | 1 | no | — |
| 763 | D8 | — | 30 | 1 | no | — |
| 764 | M16 | — | 3 | 1 | no | — |
| 765 | M16 | — | 6 | 1 | no | — |
| 766 | M16 | — | 10 | 1 | no | — |
| 767 | M16 | — | 10 | 1 | no | — |
| 768 | M16 | — | 15 | 1 | no | — |
| 769 | M16 | — | 30 | 1 | no | — |
| 770 | M16 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 771 | M16 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 772 | C2×C8 | — | 5 | 1 | no | — |
| 773 | C2×C8 | — | 6 | 1 | no | — |
| 774 | C2×C8 | — | 10 | 1 | no | — |
| 775 | C2×C8 | — | 10 | 1 | no | — |
| 776 | C2×C8 | — | 30 | 1 | no | — |
| 777 | C2×C8 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 778 | C4⋊C4 | — | 60 | 1 | no | — |
| 779 | C22⋊C4 | — | 60 | 1 | no | — |
| 780 | C42 | — | 5 | 1 | no | — |
| 781 | C3×C5 | #3289 | 1 | 1 | yes | characteristic, complemented, Hall |
| 782 | C22×C3 | — | 10 | 1 | no | — |
| 783 | C22×C3 | — | 10 | 1 | no | — |
| 784 | C22×C3 | #4149 | 1 | 1 | yes | characteristic |
| 785 | C2×D3 | — | 2 | 1 | no | — |
| 786 | C2×D3 | — | 10 | 1 | no | — |
| 787 | C2×D3 | — | 20 | 1 | no | — |
| 788 | C2×D3 | — | 40 | 1 | no | — |
| 789 | C2×D3 | — | 80 | 1 | no | — |
| 790 | C3×C4 | — | 10 | 1 | no | — |
| 791 | C3×C4 | — | 10 | 1 | no | — |
| 792 | C3×C4 | — | 20 | 1 | no | — |
| 793 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 794 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 795 | Dic3 | — | 2 | 1 | no | — |
| 796 | Dic3 | — | 4 | 1 | no | — |
| 797 | Dic3 | — | 4 | 1 | no | — |
| 798 | Dic3 | — | 10 | 1 | no | — |
| 799 | Dic3 | — | 20 | 1 | no | — |
| 800 | C2×C5 | — | 2 | 1 | no | — |
| 801 | C2×C5 | — | 12 | 1 | no | — |
| 802 | C2×C5 | D4×D12 | 1 | 1 | yes | characteristic |
| 803 | D5 | — | 4 | 1 | no | — |
| 804 | D5 | — | 4 | 1 | no | — |
| 805 | D5 | — | 12 | 1 | no | — |
| 806 | D5 | — | 24 | 1 | no | — |
| 807 | C23 | — | 30 | 1 | no | — |
| 808 | C23 | — | 60 | 1 | no | — |
| 809 | Q8 | — | 3 | 1 | no | — |
| 810 | Q8 | — | 5 | 1 | no | — |
| 811 | Q8 | — | 5 | 1 | no | — |
| 812 | Q8 | — | 6 | 1 | no | — |
| 813 | Q8 | — | 6 | 1 | no | — |
| 814 | Q8 | — | 6 | 1 | no | — |
| 815 | Q8 | — | 6 | 1 | no | — |
| 816 | Q8 | — | 15 | 1 | no | — |
| 817 | Q8 | — | 30 | 1 | no | — |
| 818 | Q8 | — | 30 | 1 | no | — |
| 819 | Q8 | — | 60 | 1 | no | — |
| 820 | Q8 | — | 60 | 1 | no | — |
| 821 | Q8 | — | 60 | 1 | no | — |
| 822 | D4 | — | 3 | 1 | no | — |
| 823 | D4 | — | 5 | 1 | no | — |
| 824 | D4 | — | 5 | 1 | no | — |
| 825 | D4 | — | 6 | 1 | no | — |
| 826 | D4 | — | 10 | 1 | no | — |
| 827 | D4 | — | 10 | 1 | no | — |
| 828 | D4 | — | 15 | 1 | no | — |
| 829 | D4 | — | 30 | 1 | no | — |
| 830 | D4 | — | 30 | 1 | no | — |
| 831 | D4 | — | 30 | 1 | no | — |
| 832 | D4 | — | 60 | 1 | no | — |
| 833 | D4 | — | 60 | 1 | no | — |
| 834 | D4 | — | 60 | 1 | no | — |
| 835 | D4 | — | 60 | 1 | no | — |
| 836 | D4 | — | 60 | 1 | no | — |
| 837 | C2×C4 | — | 6 | 1 | no | — |
| 838 | C2×C4 | — | 6 | 1 | no | — |
| 839 | C2×C4 | — | 6 | 1 | no | — |
| 840 | C2×C4 | — | 10 | 1 | no | — |
| 841 | C2×C4 | — | 10 | 1 | no | — |
| 842 | C2×C4 | — | 10 | 1 | no | — |
| 843 | C2×C4 | — | 30 | 1 | no | — |
| 844 | C2×C4 | — | 30 | 1 | no | — |
| 845 | C2×C4 | — | 60 | 1 | no | — |
| 846 | C2×C4 | — | 60 | 1 | no | — |
| 847 | C2×C4 | — | 60 | 1 | no | — |
| 848 | C2×C4 | — | 60 | 1 | no | — |
| 849 | C2×C4 | — | 60 | 1 | no | — |
| 850 | C2×C4 | — | 60 | 1 | no | — |
| 851 | C2×C4 | — | 60 | 1 | no | — |
| 852 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 853 | C8 | — | 2 | 1 | no | — |
| 854 | C8 | — | 2 | 1 | no | — |
| 855 | C8 | — | 5 | 1 | no | — |
| 856 | C8 | — | 5 | 1 | no | — |
| 857 | C8 | — | 6 | 1 | no | — |
| 858 | C8 | — | 30 | 1 | no | — |
| 859 | C8 | D5×D12 | 1 | 1 | yes | characteristic |
| 860 | C8 | D5×D12 | 1 | 1 | yes | characteristic |
| 861 | C2×C3 | — | 2 | 1 | no | — |
| 862 | C2×C3 | — | 20 | 1 | no | — |
| 863 | C2×C3 | — | 20 | 1 | no | — |
| 864 | C2×C3 | #65943 | 1 | 1 | yes | characteristic |
| 865 | D3 | — | 4 | 1 | no | — |
| 866 | D3 | — | 20 | 1 | no | — |
| 867 | D3 | — | 40 | 1 | no | — |
| 868 | C5 | #79901 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 869 | C22 | — | 6 | 1 | no | — |
| 870 | C22 | — | 10 | 1 | no | — |
| 871 | C22 | — | 10 | 1 | no | — |
| 872 | C22 | — | 30 | 1 | no | — |
| 873 | C22 | — | 60 | 1 | no | — |
| 874 | C22 | — | 120 | 1 | no | — |
| 875 | C22 | — | 240 | 1 | no | — |
| 876 | C22 | #92035 | 1 | 1 | yes | characteristic |
| 877 | C4 | — | 6 | 1 | no | — |
| 878 | C4 | — | 10 | 1 | no | — |
| 879 | C4 | — | 10 | 1 | no | — |
| 880 | C4 | — | 12 | 1 | no | — |
| 881 | C4 | — | 12 | 1 | no | — |
| 882 | C4 | — | 20 | 1 | no | — |
| 883 | C4 | — | 30 | 1 | no | — |
| 884 | C4 | — | 60 | 1 | no | — |
| 885 | C4 | C2×D5×D12 | 1 | 1 | yes | characteristic |
| 886 | C4 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 887 | C3 | #10612676 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 888 | C2 | — | 2 | 1 | no | — |
| 889 | C2 | — | 12 | 1 | no | — |
| 890 | C2 | — | 20 | 1 | no | — |
| 891 | C2 | — | 20 | 1 | no | — |
| 892 | C2 | — | 60 | 1 | no | — |
| 893 | C2 | — | 120 | 1 | no | — |
| 894 | C2 | #11753869 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11754040 | C2 | semidirect |
| 2. #11754025 | C2 | semidirect |
| 3. #11754008 | C2 | semidirect |
| 4. #11753972 | C2 | semidirect |
| 5. #11750999 | C2 | semidirect |
| 6. C5×#4896 | C2 | semidirect |
| 7. C3×#65183 | C2 | semidirect |
| 8. #11748261 | C2 | semidirect |
| 9. #11748260 | C2 | semidirect |
| 10. #11748257 | C2 | semidirect |
| 11. #11748245 | C2 | semidirect |
| 12. #11748217 | C2 | semidirect |
| 13. #11748216 | C2 | semidirect |
| 14. #11748079 | C2 | semidirect |
| 15. #11748026 | C2 | semidirect |
| 20. #92000 | C22 | semidirect |
| 21. #91798 | C22 | semidirect |
| 24. #91790 | C22 | semidirect |
| 27. C2×C5×Dic12 | C22 | semidirect |
| 30. C3×#4053 | C22 | semidirect |
| 32. #91376 | C22 | semidirect |
| 34. C2×#6663 | C22 | semidirect |
| 38. #91307 | C22 | semidirect |
| 57. C3×C5×#108 | C22 | semidirect |
| 58. #91108 | C22 | semidirect |
| 60. C5×#824 | C22 | semidirect |
| 61. C5×#824 | C22 | semidirect |
| 63. C3×#3957 | C22 | semidirect |
| 64. C3×#3947 | C22 | semidirect |
| 65. #90991 | C22 | semidirect |
| 66. #90981 | C22 | semidirect |
| 79. #65183 | D3 | semidirect |
| 169. #4896 | D5 | semidirect |
| 210. #4053 | C2×D3 | semidirect |
| 216. C5×#108 | C2×D3 | semidirect |
| 222. #3957 | C2×D3 | semidirect |
| 226. #3947 | C2×D3 | semidirect |
| 311. C2×Dic12 | C2×D5 | semidirect |
| 322. C3×#108 | C2×D5 | semidirect |
| 327. #824 | C2×D5 | semidirect |
| 328. #824 | C2×D5 | semidirect |
| 615. #108 | D3×D5 | semidirect |
| 781. C3×C5 | #3289 | semidirect |
| 868. C5 | #79901 | semidirect |
| 887. C3 | #10612676 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11754040 | 2 |
| #11754025 | 2 |
| #11754008 | 2 |
| #11753972 | 2 |
| #11750999 | 2 |
| C5×#4896 | 2 |
| C3×#65183 | 2 |
| #11748261 | 2 |
| #11748260 | 2 |
| #11748257 | 2 |
| #11748245 | 2 |
| #11748217 | 2 |
| #11748216 | 2 |
| #11748079 | 2 |
| #11748026 | 2 |
| #10612676 | 3 |
| #79901 | 5 |