Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
952 conjugacy classes of subgroups.
The subgroup lattice has 940 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11756533 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11755316 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11755311 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11754704 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C5×#5199 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#65487 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11749438 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11749422 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11749142 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11749132 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11749093 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11748249 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11748195 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11748194 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11748174 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10612672 | — | 3 | 1 | no | maximal, Hall |
| 17 | #92100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #92095 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C3×#4149 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #92018 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C3×C5×AGL(1,ℤ/8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #91839 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#6715 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #91805 | — | 2 | 1 | no | — |
| 25 | #91803 | — | 2 | 1 | no | — |
| 26 | #91800 | — | 2 | 1 | no | — |
| 27 | D8×D15 | — | 2 | 1 | no | — |
| 28 | #91797 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #91796 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C5×#949 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C5×#948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×C5×#213 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C3×#4086 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C3×#4078 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #91514 | — | 2 | 1 | no | — |
| 36 | #91502 | — | 2 | 1 | no | — |
| 37 | #91500 | — | 2 | 1 | no | — |
| 38 | #91499 | — | 2 | 1 | no | — |
| 39 | #91489 | — | 2 | 1 | no | — |
| 40 | #91482 | — | 2 | 1 | no | — |
| 41 | #91481 | — | 2 | 1 | no | — |
| 42 | D5×#213 | — | 2 | 1 | no | — |
| 43 | #91451 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #91312 | — | 2 | 1 | no | — |
| 45 | #91312 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #91312 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #91311 | — | 2 | 1 | no | — |
| 48 | #91311 | C22 | 1 | 1 | yes | characteristic |
| 49 | #91304 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #91301 | — | 2 | 1 | no | — |
| 51 | #91301 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×#6653 | — | 2 | 1 | no | — |
| 53 | C2×#6653 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2×#6652 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #91291 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #91284 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C5×#833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C5×#823 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C5×#822 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C3×#3969 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C3×#3957 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | C3×#3955 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #90992 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #90981 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #90981 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #90960 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | Dic5×C3⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #80282 | — | 5 | 1 | no | maximal, Hall |
| 69 | #66108 | — | 3 | 1 | no | — |
| 70 | #66108 | — | 3 | 1 | no | — |
| 71 | #66091 | — | 3 | 1 | no | — |
| 72 | #66086 | — | 3 | 1 | no | — |
| 73 | C5×#472 | — | 3 | 1 | no | — |
| 74 | #65487 | — | 3 | 1 | no | — |
| 75 | #65487 | D3 | 1 | 1 | yes | characteristic, complemented |
| 76 | #65440 | — | 3 | 1 | no | — |
| 77 | #65433 | — | 3 | 1 | no | — |
| 78 | #65186 | — | 3 | 1 | no | — |
| 79 | #65184 | — | 3 | 1 | no | — |
| 80 | #65038 | — | 3 | 1 | no | — |
| 81 | #65038 | — | 3 | 1 | no | — |
| 82 | #65036 | — | 3 | 1 | no | — |
| 83 | #65036 | — | 3 | 1 | no | — |
| 84 | C3×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C3×C5×D4 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×#1220 | — | 4 | 1 | no | — |
| 87 | #6821 | — | 2 | 1 | no | — |
| 88 | #6819 | — | 2 | 1 | no | — |
| 89 | #6819 | — | 2 | 1 | no | — |
| 90 | D4×D15 | — | 2 | 1 | no | — |
| 91 | D4×D15 | — | 2 | 1 | no | — |
| 92 | D4×D15 | — | 2 | 1 | no | — |
| 93 | D4×D15 | — | 4 | 1 | no | — |
| 94 | #6817 | — | 2 | 1 | no | — |
| 95 | #6817 | C23 | 1 | 1 | yes | characteristic |
| 96 | #6817 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×D60 | — | 2 | 1 | no | — |
| 98 | C2×D60 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×C5×D12 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×C3×C22⋊D5 | — | 4 | 1 | no | — |
| 101 | C3×#713 | — | 2 | 1 | no | — |
| 102 | C3×D4×D5 | — | 2 | 1 | no | — |
| 103 | C3×D4×D5 | — | 4 | 1 | no | — |
| 104 | C3×#709 | — | 2 | 1 | no | — |
| 105 | C3×#709 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C3×D20 | — | 2 | 1 | no | — |
| 107 | C2×C3×D20 | C23 | 1 | 1 | yes | characteristic |
| 108 | D3×C22⋊D5 | — | 4 | 1 | no | — |
| 109 | C2×#1203 | — | 4 | 1 | no | — |
| 110 | #6777 | — | 2 | 1 | no | — |
| 111 | D5×D12 | — | 2 | 1 | no | — |
| 112 | #6772 | — | 2 | 1 | no | — |
| 113 | #6768 | — | 2 | 1 | no | — |
| 114 | C3×C5×SD16 | — | 2 | 1 | no | — |
| 115 | C3×C5×D8 | — | 2 | 1 | no | — |
| 116 | C3×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 117 | #6718 | D4 | 1 | 1 | yes | characteristic, complemented |
| 118 | #6717 | D4 | 1 | 1 | yes | characteristic, complemented |
| 119 | #6716 | D4 | 1 | 1 | yes | characteristic, complemented |
| 120 | #6715 | — | 2 | 1 | no | — |
| 121 | #6715 | — | 2 | 1 | no | — |
| 122 | #6715 | D4 | 1 | 1 | yes | characteristic, complemented |
| 123 | C2×C3⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 124 | D120 | — | 2 | 1 | no | — |
| 125 | #6706 | — | 2 | 1 | no | — |
| 126 | #6705 | — | 2 | 1 | no | — |
| 127 | C8×D15 | — | 2 | 1 | no | — |
| 128 | C5×#215 | — | 2 | 1 | no | — |
| 129 | C5×#213 | — | 2 | 1 | no | — |
| 130 | C5×#213 | — | 2 | 1 | no | — |
| 131 | C5×#213 | — | 2 | 1 | no | — |
| 132 | C5×#208 | — | 2 | 1 | no | — |
| 133 | C5×#208 | C23 | 1 | 1 | yes | characteristic |
| 134 | C5×#208 | C23 | 1 | 1 | yes | characteristic |
| 135 | C2×C5×C3⋊C8 | — | 2 | 1 | no | — |
| 136 | C2×C5×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 137 | C3×#687 | — | 2 | 1 | no | — |
| 138 | C3×#686 | — | 2 | 1 | no | — |
| 139 | C3×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 140 | C3×#681 | C23 | 1 | 1 | yes | characteristic |
| 141 | #6662 | D4 | 1 | 1 | yes | characteristic, complemented |
| 142 | #6659 | — | 2 | 1 | no | — |
| 143 | #6658 | — | 2 | 1 | no | — |
| 144 | #6658 | D4 | 1 | 1 | yes | characteristic, complemented |
| 145 | #6657 | — | 2 | 1 | no | — |
| 146 | #6657 | — | 2 | 1 | no | — |
| 147 | #6657 | D4 | 1 | 1 | yes | characteristic, complemented |
| 148 | #6654 | — | 2 | 1 | no | — |
| 149 | #6653 | — | 2 | 1 | no | — |
| 150 | #6653 | — | 2 | 1 | no | — |
| 151 | #6653 | — | 2 | 1 | no | — |
| 152 | #6653 | — | 2 | 1 | no | — |
| 153 | #6653 | — | 2 | 1 | no | — |
| 154 | #6653 | D4 | 1 | 1 | yes | characteristic, complemented |
| 155 | #6652 | — | 2 | 1 | no | — |
| 156 | #6652 | — | 2 | 1 | no | — |
| 157 | #6651 | — | 2 | 1 | no | — |
| 158 | #6649 | — | 2 | 1 | no | — |
| 159 | #6648 | — | 2 | 1 | no | — |
| 160 | D5×C3⋊C8 | — | 2 | 1 | no | — |
| 161 | #5835 | — | 5 | 1 | no | — |
| 162 | #5835 | — | 5 | 1 | no | — |
| 163 | #5774 | — | 5 | 1 | no | — |
| 164 | #5774 | — | 5 | 1 | no | — |
| 165 | C3×#453 | — | 5 | 1 | no | — |
| 166 | #5199 | — | 5 | 1 | no | — |
| 167 | #5199 | D5 | 1 | 1 | yes | characteristic, complemented |
| 168 | #5077 | — | 5 | 1 | no | — |
| 169 | #5073 | — | 5 | 1 | no | — |
| 170 | #4824 | — | 5 | 1 | no | — |
| 171 | #4824 | — | 5 | 1 | no | — |
| 172 | #4822 | — | 5 | 1 | no | — |
| 173 | #4822 | — | 5 | 1 | no | — |
| 174 | #4749 | — | 5 | 1 | no | — |
| 175 | #4749 | — | 5 | 1 | no | — |
| 176 | #4149 | — | 3 | 1 | no | — |
| 177 | #4149 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 178 | #4144 | — | 3 | 1 | no | — |
| 179 | #4144 | — | 3 | 1 | no | — |
| 180 | C5×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 181 | C5×AGL(1,ℤ/8) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 182 | C2×C5×D8 | — | 3 | 1 | no | — |
| 183 | C5×#131 | — | 3 | 1 | no | — |
| 184 | #4096 | — | 3 | 1 | no | — |
| 185 | #4086 | — | 3 | 1 | no | — |
| 186 | #4086 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 187 | #4078 | — | 3 | 1 | no | — |
| 188 | #4078 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 189 | C2×#686 | — | 3 | 1 | no | — |
| 190 | C2×#686 | — | 3 | 1 | no | — |
| 191 | #4062 | — | 6 | 1 | no | — |
| 192 | #4062 | — | 6 | 1 | no | — |
| 193 | #4060 | — | 6 | 1 | no | — |
| 194 | #4060 | — | 6 | 1 | no | — |
| 195 | #4058 | — | 6 | 1 | no | — |
| 196 | #4057 | — | 6 | 1 | no | — |
| 197 | #4057 | — | 6 | 1 | no | — |
| 198 | #4057 | — | 6 | 1 | no | — |
| 199 | #4057 | — | 6 | 1 | no | — |
| 200 | D5×D8 | — | 6 | 1 | no | — |
| 201 | D5×D8 | — | 6 | 1 | no | — |
| 202 | D5×D8 | — | 6 | 1 | no | — |
| 203 | #4054 | — | 3 | 1 | no | — |
| 204 | #4054 | — | 3 | 1 | no | — |
| 205 | #4054 | — | 3 | 1 | no | — |
| 206 | #4054 | — | 3 | 1 | no | — |
| 207 | #4054 | — | 6 | 1 | no | — |
| 208 | #4054 | — | 6 | 1 | no | — |
| 209 | #4053 | — | 3 | 1 | no | — |
| 210 | #4053 | — | 3 | 1 | no | — |
| 211 | #4050 | — | 3 | 1 | no | — |
| 212 | #4050 | — | 6 | 1 | no | — |
| 213 | C2×D40 | — | 3 | 1 | no | — |
| 214 | C2×D40 | — | 6 | 1 | no | — |
| 215 | #4047 | — | 3 | 1 | no | — |
| 216 | C5×#108 | — | 3 | 1 | no | — |
| 217 | C5×#100 | — | 3 | 1 | no | — |
| 218 | C5×#100 | — | 3 | 1 | no | — |
| 219 | #3969 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 220 | #3957 | — | 3 | 1 | no | — |
| 221 | #3957 | — | 3 | 1 | no | — |
| 222 | #3957 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 223 | #3955 | — | 3 | 1 | no | — |
| 224 | #3955 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 225 | #3954 | — | 3 | 1 | no | — |
| 226 | C8×Dic5 | — | 3 | 1 | no | — |
| 227 | #3292 | — | 15 | 1 | no | Sylow |
| 228 | C23×C3×C5 | — | 2 | 1 | no | — |
| 229 | C22×D15 | — | 2 | 1 | no | — |
| 230 | C22×D15 | — | 4 | 1 | no | — |
| 231 | C22×D15 | — | 4 | 1 | no | — |
| 232 | C22×C5×D3 | — | 2 | 1 | no | — |
| 233 | C22×C3×D5 | — | 2 | 1 | no | — |
| 234 | C22×C3×D5 | — | 4 | 1 | no | — |
| 235 | C2×D3×D5 | — | 4 | 1 | no | — |
| 236 | C3×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 237 | C3×C5×D4 | — | 2 | 1 | no | — |
| 238 | C3×C5×D4 | — | 2 | 1 | no | — |
| 239 | C3×C5×D4 | — | 2 | 1 | no | — |
| 240 | C3×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C2×C3×C4×C5 | — | 2 | 1 | no | — |
| 242 | C2×C3×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 243 | #1220 | — | 2 | 1 | no | — |
| 244 | #1220 | — | 2 | 1 | no | — |
| 245 | #1220 | — | 4 | 1 | no | — |
| 246 | #1220 | — | 4 | 1 | no | — |
| 247 | #1220 | — | 4 | 1 | no | — |
| 248 | C2×Dic15 | — | 4 | 1 | no | — |
| 249 | D60 | — | 2 | 1 | no | — |
| 250 | D60 | — | 2 | 1 | no | — |
| 251 | D60 | — | 4 | 1 | no | — |
| 252 | D60 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | D60 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C4×D15 | — | 2 | 1 | no | — |
| 255 | C4×D15 | — | 2 | 1 | no | — |
| 256 | C4×D15 | — | 4 | 1 | no | — |
| 257 | Dic30 | C2×D4 | 1 | 1 | yes | characteristic |
| 258 | Dic30 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C5×D12 | — | 2 | 1 | no | — |
| 260 | C5×D12 | — | 2 | 1 | no | — |
| 261 | C3×C22⋊D5 | — | 2 | 1 | no | — |
| 262 | C3×C22⋊D5 | — | 4 | 1 | no | — |
| 263 | C3×C22⋊D5 | — | 8 | 2 | no | — |
| 264 | C2×C3×Dic5 | — | 2 | 1 | no | — |
| 265 | C3×D20 | — | 2 | 1 | no | — |
| 266 | C3×D20 | — | 2 | 1 | no | — |
| 267 | C3×D20 | — | 4 | 1 | no | — |
| 268 | C3×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 269 | C3×C4×D5 | — | 2 | 1 | no | — |
| 270 | C3×C4×D5 | — | 4 | 1 | no | — |
| 271 | C3×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | #1203 | — | 4 | 1 | no | — |
| 273 | #1203 | — | 8 | 2 | no | — |
| 274 | #1201 | — | 4 | 1 | no | — |
| 275 | D3×Dic5 | — | 4 | 1 | no | — |
| 276 | C3×C5×C8 | — | 2 | 1 | no | — |
| 277 | C3⋊#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 278 | C3⋊#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 279 | C3×#168 | — | 2 | 1 | no | — |
| 280 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 281 | C5×C3⋊C8 | — | 2 | 1 | no | — |
| 282 | C5×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 283 | C5×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 284 | C3×H(5,𝔽2) | — | 5 | 1 | no | — |
| 285 | #1009 | — | 5 | 1 | no | — |
| 286 | #1009 | — | 5 | 1 | no | — |
| 287 | #1004 | — | 5 | 1 | no | — |
| 288 | C3×AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 289 | C3×AGL(1,ℤ/8) | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 290 | C3×#127 | — | 5 | 1 | no | — |
| 291 | #950 | — | 5 | 1 | no | — |
| 292 | #950 | — | 5 | 1 | no | — |
| 293 | #950 | — | 10 | 1 | no | — |
| 294 | #950 | — | 10 | 1 | no | — |
| 295 | #949 | — | 5 | 1 | no | — |
| 296 | #949 | — | 10 | 1 | no | — |
| 297 | #949 | — | 10 | 1 | no | — |
| 298 | #949 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 299 | #948 | — | 5 | 1 | no | — |
| 300 | #948 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 301 | #932 | — | 5 | 1 | no | — |
| 302 | #932 | — | 5 | 1 | no | — |
| 303 | #932 | — | 10 | 1 | no | — |
| 304 | #932 | — | 10 | 1 | no | — |
| 305 | C2×#213 | — | 5 | 1 | no | — |
| 306 | C2×#213 | — | 5 | 1 | no | — |
| 307 | C2×#213 | — | 5 | 1 | no | — |
| 308 | C2×#213 | — | 10 | 1 | no | — |
| 309 | C2×#213 | — | 10 | 1 | no | — |
| 310 | C2×#213 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 311 | #916 | — | 10 | 1 | no | — |
| 312 | #916 | — | 10 | 1 | no | — |
| 313 | #914 | — | 10 | 1 | no | — |
| 314 | #914 | — | 10 | 1 | no | — |
| 315 | #911 | — | 10 | 1 | no | — |
| 316 | #911 | — | 10 | 1 | no | — |
| 317 | D3×D8 | — | 10 | 1 | no | — |
| 318 | D3×D8 | — | 10 | 1 | no | — |
| 319 | #908 | — | 5 | 1 | no | — |
| 320 | #908 | — | 5 | 1 | no | — |
| 321 | #907 | — | 5 | 1 | no | — |
| 322 | #907 | — | 5 | 1 | no | — |
| 323 | #874 | — | 5 | 1 | no | — |
| 324 | C3×#104 | — | 5 | 1 | no | — |
| 325 | C3×#104 | — | 5 | 1 | no | — |
| 326 | C3×#100 | — | 5 | 1 | no | — |
| 327 | #833 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 328 | #823 | — | 5 | 1 | no | — |
| 329 | #823 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 330 | #822 | — | 5 | 1 | no | — |
| 331 | #822 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 332 | #805 | — | 5 | 1 | no | — |
| 333 | #805 | — | 5 | 1 | no | — |
| 334 | C4×C3⋊C8 | — | 5 | 1 | no | — |
| 335 | C5×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 336 | C2×C5×D4 | — | 3 | 1 | no | — |
| 337 | C2×C5×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 338 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 339 | C2×C22⋊D5 | — | 12 | 1 | no | — |
| 340 | C2×C22⋊D5 | — | 12 | 1 | no | — |
| 341 | C2×C22⋊D5 | — | 12 | 1 | no | — |
| 342 | #713 | — | 2 | 1 | no | — |
| 343 | #713 | — | 6 | 1 | no | — |
| 344 | #711 | — | 6 | 1 | no | — |
| 345 | #711 | — | 6 | 1 | no | — |
| 346 | #711 | — | 6 | 1 | no | — |
| 347 | #711 | — | 6 | 1 | no | — |
| 348 | D4×D5 | — | 2 | 1 | no | — |
| 349 | D4×D5 | — | 4 | 1 | no | — |
| 350 | D4×D5 | — | 6 | 1 | no | — |
| 351 | D4×D5 | — | 6 | 1 | no | — |
| 352 | D4×D5 | — | 6 | 1 | no | — |
| 353 | D4×D5 | — | 6 | 1 | no | — |
| 354 | D4×D5 | — | 6 | 1 | no | — |
| 355 | D4×D5 | — | 12 | 1 | no | — |
| 356 | #709 | — | 2 | 1 | no | — |
| 357 | #709 | — | 3 | 1 | no | — |
| 358 | #709 | — | 3 | 1 | no | — |
| 359 | #709 | — | 6 | 1 | no | — |
| 360 | #709 | C22×D3 | 1 | 1 | yes | characteristic |
| 361 | C2×D20 | — | 2 | 1 | no | — |
| 362 | C2×D20 | — | 3 | 1 | no | — |
| 363 | C2×D20 | — | 6 | 1 | no | — |
| 364 | C2×D20 | C22×D3 | 1 | 1 | yes | characteristic |
| 365 | C5×SD16 | — | 2 | 1 | no | — |
| 366 | C5×SD16 | — | 6 | 1 | no | — |
| 367 | C5×D8 | — | 2 | 1 | no | — |
| 368 | C5×D8 | — | 6 | 1 | no | — |
| 369 | C5×D8 | — | 6 | 1 | no | — |
| 370 | C5×D8 | — | 6 | 1 | no | — |
| 371 | C5×M16 | — | 3 | 1 | no | — |
| 372 | C5×M16 | — | 3 | 1 | no | — |
| 373 | C5×M16 | — | 6 | 1 | no | — |
| 374 | C5×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 375 | C2×C5×C8 | — | 3 | 1 | no | — |
| 376 | C2×C5×C8 | — | 6 | 1 | no | — |
| 377 | #689 | — | 3 | 1 | no | — |
| 378 | #688 | — | 3 | 1 | no | — |
| 379 | #687 | — | 2 | 1 | no | — |
| 380 | #687 | — | 3 | 1 | no | — |
| 381 | #687 | — | 6 | 1 | no | — |
| 382 | #686 | — | 2 | 1 | no | — |
| 383 | #686 | — | 3 | 1 | no | — |
| 384 | #686 | — | 6 | 1 | no | — |
| 385 | #686 | — | 6 | 1 | no | — |
| 386 | #686 | — | 6 | 1 | no | — |
| 387 | #686 | — | 6 | 1 | no | — |
| 388 | #686 | — | 6 | 1 | no | — |
| 389 | C4×Dic5 | C22×D3 | 1 | 1 | yes | characteristic |
| 390 | #681 | C22×D3 | 1 | 1 | yes | characteristic |
| 391 | C2×#168 | — | 3 | 1 | no | — |
| 392 | Dic20 | — | 3 | 1 | no | — |
| 393 | D40 | — | 3 | 1 | no | — |
| 394 | D40 | — | 6 | 1 | no | — |
| 395 | D40 | — | 6 | 1 | no | — |
| 396 | D40 | — | 6 | 1 | no | — |
| 397 | D40 | — | 6 | 1 | no | — |
| 398 | D40 | — | 6 | 1 | no | — |
| 399 | D40 | — | 6 | 1 | no | — |
| 400 | #677 | — | 3 | 1 | no | — |
| 401 | #677 | — | 3 | 1 | no | — |
| 402 | #677 | — | 6 | 1 | no | — |
| 403 | #677 | — | 6 | 1 | no | — |
| 404 | #677 | — | 6 | 1 | no | — |
| 405 | #677 | — | 6 | 1 | no | — |
| 406 | #676 | — | 6 | 1 | no | — |
| 407 | #676 | — | 6 | 1 | no | — |
| 408 | #676 | — | 6 | 1 | no | — |
| 409 | C8×D5 | — | 6 | 1 | no | — |
| 410 | C8×D5 | — | 6 | 1 | no | — |
| 411 | C8×D5 | — | 6 | 1 | no | — |
| 412 | #576 | — | 15 | 1 | no | — |
| 413 | #576 | — | 15 | 1 | no | — |
| 414 | #576 | — | 15 | 1 | no | — |
| 415 | #576 | — | 15 | 1 | no | — |
| 416 | #493 | — | 15 | 1 | no | — |
| 417 | #472 | — | 3 | 1 | no | — |
| 418 | #472 | — | 15 | 1 | no | — |
| 419 | #472 | — | 15 | 1 | no | — |
| 420 | #472 | — | 15 | 1 | no | — |
| 421 | #453 | — | 5 | 1 | no | — |
| 422 | #453 | — | 15 | 1 | no | — |
| 423 | #453 | — | 15 | 1 | no | — |
| 424 | #453 | — | 15 | 1 | no | — |
| 425 | #443 | — | 15 | 1 | no | — |
| 426 | #443 | — | 15 | 1 | no | — |
| 427 | C22×C3×C5 | — | 2 | 1 | no | — |
| 428 | C22×C3×C5 | — | 4 | 1 | no | — |
| 429 | C22×C3×C5 | — | 8 | 1 | no | — |
| 430 | C22×C3×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 431 | C2×D15 | — | 2 | 1 | no | — |
| 432 | C2×D15 | — | 2 | 1 | no | — |
| 433 | C2×D15 | — | 4 | 1 | no | — |
| 434 | C2×D15 | — | 8 | 1 | no | — |
| 435 | C2×D15 | — | 16 | 1 | no | — |
| 436 | C2×D15 | — | 16 | 1 | no | — |
| 437 | C2×C5×D3 | — | 4 | 1 | no | — |
| 438 | C2×C5×D3 | — | 8 | 1 | no | — |
| 439 | C2×C3×D5 | — | 2 | 1 | no | — |
| 440 | C2×C3×D5 | — | 4 | 1 | no | — |
| 441 | C2×C3×D5 | — | 8 | 1 | no | — |
| 442 | C2×C3×D5 | — | 16 | 1 | no | — |
| 443 | D3×D5 | — | 16 | 1 | no | — |
| 444 | C3×C4×C5 | — | 2 | 1 | no | — |
| 445 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 446 | C3×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 447 | Dic15 | — | 2 | 1 | no | — |
| 448 | Dic15 | — | 2 | 1 | no | — |
| 449 | C3×Dic5 | — | 2 | 2 | no | — |
| 450 | C3×Dic5 | — | 2 | 1 | no | — |
| 451 | C3×#41 | — | 5 | 1 | no | — |
| 452 | C3×#41 | — | 10 | 1 | no | — |
| 453 | C3×#41 | — | 10 | 1 | no | — |
| 454 | C3×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 455 | C2×C3×D4 | — | 5 | 1 | no | — |
| 456 | C2×C3×D4 | — | 10 | 1 | no | — |
| 457 | C2×C3×D4 | — | 10 | 1 | no | — |
| 458 | C2×C3×D4 | — | 20 | 1 | no | — |
| 459 | C2×C3×D4 | — | 20 | 1 | no | — |
| 460 | C2×C3×D4 | C22×D5 | 1 | 1 | yes | characteristic |
| 461 | C2×#67 | — | 20 | 1 | no | — |
| 462 | #239 | — | 10 | 1 | no | — |
| 463 | #239 | — | 10 | 1 | no | — |
| 464 | #237 | — | 10 | 1 | no | — |
| 465 | #237 | — | 10 | 1 | no | — |
| 466 | D3×D4 | — | 10 | 1 | no | — |
| 467 | D3×D4 | — | 10 | 1 | no | — |
| 468 | D3×D4 | — | 10 | 1 | no | — |
| 469 | D3×D4 | — | 10 | 1 | no | — |
| 470 | D3×D4 | — | 20 | 1 | no | — |
| 471 | D3×D4 | — | 20 | 1 | no | — |
| 472 | #235 | — | 5 | 1 | no | — |
| 473 | #235 | — | 5 | 1 | no | — |
| 474 | #235 | — | 10 | 1 | no | — |
| 475 | #235 | — | 10 | 1 | no | — |
| 476 | C2×D12 | — | 5 | 1 | no | — |
| 477 | C2×D12 | — | 10 | 1 | no | — |
| 478 | C2×D12 | — | 10 | 1 | no | — |
| 479 | C2×D12 | — | 20 | 1 | no | — |
| 480 | C2×D12 | C22×D5 | 1 | 1 | yes | characteristic |
| 481 | C3×SD16 | — | 2 | 1 | no | — |
| 482 | C3×SD16 | — | 10 | 1 | no | — |
| 483 | C3×D8 | — | 2 | 1 | no | — |
| 484 | C3×D8 | — | 10 | 1 | no | — |
| 485 | C3×M16 | — | 5 | 1 | no | — |
| 486 | C3×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 487 | C3×C42 | — | 5 | 1 | no | — |
| 488 | #216 | — | 5 | 1 | no | — |
| 489 | #216 | — | 5 | 1 | no | — |
| 490 | #215 | — | 2 | 1 | no | — |
| 491 | #215 | — | 5 | 1 | no | — |
| 492 | #215 | — | 5 | 1 | no | — |
| 493 | #215 | — | 10 | 1 | no | — |
| 494 | #214 | — | 5 | 1 | no | — |
| 495 | #214 | — | 5 | 1 | no | — |
| 496 | #214 | — | 10 | 1 | no | — |
| 497 | #214 | — | 10 | 1 | no | — |
| 498 | #213 | — | 2 | 1 | no | — |
| 499 | #213 | — | 2 | 1 | no | — |
| 500 | #213 | — | 2 | 1 | no | — |
| 501 | #213 | — | 5 | 1 | no | — |
| 502 | #213 | — | 5 | 1 | no | — |
| 503 | #213 | — | 10 | 1 | no | — |
| 504 | #213 | — | 10 | 1 | no | — |
| 505 | #213 | — | 10 | 1 | no | — |
| 506 | #213 | — | 10 | 1 | no | — |
| 507 | #213 | — | 10 | 1 | no | — |
| 508 | #213 | — | 10 | 1 | no | — |
| 509 | #213 | — | 10 | 1 | no | — |
| 510 | #213 | — | 10 | 1 | no | — |
| 511 | #213 | — | 10 | 1 | no | — |
| 512 | #208 | — | 2 | 1 | no | — |
| 513 | #208 | — | 10 | 1 | no | — |
| 514 | #208 | C22×D5 | 1 | 1 | yes | characteristic |
| 515 | #208 | C22×D5 | 1 | 1 | yes | characteristic |
| 516 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 517 | C2×C3⋊C8 | — | 5 | 1 | no | — |
| 518 | C2×C3⋊C8 | — | 10 | 1 | no | — |
| 519 | C2×C3⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 520 | D24 | — | 10 | 1 | no | — |
| 521 | D24 | — | 10 | 1 | no | — |
| 522 | #204 | — | 10 | 1 | no | — |
| 523 | #204 | — | 10 | 1 | no | — |
| 524 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 525 | ΓL(1,𝔽25) | — | 10 | 1 | no | — |
| 526 | D3×C8 | — | 10 | 1 | no | — |
| 527 | D3×C8 | — | 10 | 1 | no | — |
| 528 | C23×C5 | — | 2 | 1 | no | — |
| 529 | C23×C5 | — | 6 | 1 | no | — |
| 530 | C22×D5 | — | 2 | 1 | no | — |
| 531 | C22×D5 | — | 4 | 1 | no | — |
| 532 | C22×D5 | — | 6 | 1 | no | — |
| 533 | C22×D5 | — | 12 | 1 | no | — |
| 534 | C22×D5 | — | 12 | 1 | no | — |
| 535 | C22×D5 | — | 12 | 1 | no | — |
| 536 | C5×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 537 | C5×D4 | — | 2 | 1 | no | — |
| 538 | C5×D4 | — | 2 | 1 | no | — |
| 539 | C5×D4 | — | 2 | 1 | no | — |
| 540 | C5×D4 | — | 6 | 1 | no | — |
| 541 | C5×D4 | — | 6 | 1 | no | — |
| 542 | C5×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 543 | C2×C4×C5 | — | 2 | 1 | no | — |
| 544 | C2×C4×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 545 | C22⋊D5 | — | 2 | 1 | no | — |
| 546 | C22⋊D5 | — | 4 | 1 | no | — |
| 547 | C22⋊D5 | — | 6 | 1 | no | — |
| 548 | C22⋊D5 | — | 6 | 1 | no | — |
| 549 | C22⋊D5 | — | 8 | 2 | no | — |
| 550 | C22⋊D5 | — | 12 | 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 | C22⋊D5 | — | 24 | 2 | no | — |
| 556 | C2×Dic5 | — | 2 | 1 | no | — |
| 557 | C2×Dic5 | — | 12 | 1 | no | — |
| 558 | C2×Dic5 | — | 12 | 1 | no | — |
| 559 | D20 | — | 2 | 1 | no | — |
| 560 | D20 | — | 2 | 1 | no | — |
| 561 | D20 | — | 3 | 1 | no | — |
| 562 | D20 | — | 3 | 1 | no | — |
| 563 | D20 | — | 4 | 1 | no | — |
| 564 | D20 | — | 6 | 1 | no | — |
| 565 | D20 | — | 6 | 1 | no | — |
| 566 | D20 | — | 12 | 1 | no | — |
| 567 | D20 | D3×D4 | 1 | 1 | yes | characteristic |
| 568 | C4×D5 | — | 2 | 1 | no | — |
| 569 | C4×D5 | — | 4 | 1 | no | — |
| 570 | C4×D5 | — | 6 | 1 | no | — |
| 571 | C4×D5 | — | 6 | 1 | no | — |
| 572 | C4×D5 | — | 12 | 1 | no | — |
| 573 | Dic10 | — | 3 | 1 | no | — |
| 574 | Dic10 | — | 3 | 1 | no | — |
| 575 | Dic10 | D3×D4 | 1 | 1 | yes | characteristic |
| 576 | C5×C8 | — | 2 | 1 | no | — |
| 577 | C5×C8 | — | 3 | 1 | no | — |
| 578 | C5×C8 | — | 3 | 1 | no | — |
| 579 | C5×C8 | — | 6 | 1 | no | — |
| 580 | C5×C8 | — | 6 | 1 | no | — |
| 581 | #168 | — | 2 | 1 | no | — |
| 582 | #168 | — | 3 | 1 | no | — |
| 583 | #168 | — | 3 | 1 | no | — |
| 584 | H(5,𝔽2) | — | 5 | 1 | no | — |
| 585 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 586 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 587 | H(5,𝔽2) | — | 15 | 1 | no | — |
| 588 | AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 589 | AGL(1,ℤ/8) | — | 5 | 1 | no | — |
| 590 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 591 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 592 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 593 | AGL(1,ℤ/8) | — | 15 | 1 | no | — |
| 594 | AGL(1,ℤ/8) | — | 15 | 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 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 601 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 602 | AGL(1,ℤ/8) | — | 30 | 1 | no | — |
| 603 | AGL(1,ℤ/8) | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 604 | #135 | — | 15 | 1 | no | — |
| 605 | #135 | — | 15 | 1 | no | — |
| 606 | #135 | — | 30 | 1 | no | — |
| 607 | #135 | — | 30 | 1 | no | — |
| 608 | #135 | — | 30 | 1 | no | — |
| 609 | #135 | — | 30 | 1 | no | — |
| 610 | C2×D8 | — | 3 | 1 | no | — |
| 611 | C2×D8 | — | 15 | 1 | no | — |
| 612 | C2×D8 | — | 15 | 1 | no | — |
| 613 | C2×D8 | — | 15 | 1 | no | — |
| 614 | C2×D8 | — | 30 | 1 | no | — |
| 615 | C2×D8 | — | 30 | 1 | no | — |
| 616 | C2×D8 | — | 30 | 1 | no | — |
| 617 | C2×D8 | — | 30 | 1 | no | — |
| 618 | #131 | — | 3 | 1 | no | — |
| 619 | #131 | — | 15 | 1 | no | — |
| 620 | #131 | — | 15 | 1 | no | — |
| 621 | #131 | — | 15 | 1 | no | — |
| 622 | #127 | — | 5 | 1 | no | — |
| 623 | #127 | — | 15 | 1 | no | — |
| 624 | #108 | — | 3 | 1 | no | — |
| 625 | #108 | — | 15 | 1 | no | — |
| 626 | #104 | — | 5 | 1 | no | — |
| 627 | #104 | — | 5 | 1 | no | — |
| 628 | #104 | — | 15 | 1 | no | — |
| 629 | #104 | — | 15 | 1 | no | — |
| 630 | #100 | — | 3 | 1 | no | — |
| 631 | #100 | — | 3 | 1 | no | — |
| 632 | #100 | — | 5 | 1 | no | — |
| 633 | #100 | — | 15 | 1 | no | — |
| 634 | C4×C8 | — | 15 | 1 | no | — |
| 635 | C2×C3×C5 | — | 2 | 1 | no | — |
| 636 | C2×C3×C5 | — | 4 | 1 | no | — |
| 637 | C2×C3×C5 | — | 8 | 1 | no | — |
| 638 | C2×C3×C5 | D42 | 1 | 1 | yes | characteristic |
| 639 | D15 | — | 4 | 1 | no | — |
| 640 | D15 | — | 4 | 1 | no | — |
| 641 | D15 | — | 8 | 1 | no | — |
| 642 | C3×D5 | — | 4 | 1 | no | — |
| 643 | C3×D5 | — | 8 | 1 | no | — |
| 644 | C5×D3 | — | 8 | 1 | no | — |
| 645 | C23×C3 | — | 2 | 1 | no | — |
| 646 | C23×C3 | — | 10 | 1 | no | — |
| 647 | C23×C3 | — | 20 | 1 | no | — |
| 648 | C22×D3 | — | 2 | 1 | no | — |
| 649 | C22×D3 | — | 10 | 1 | no | — |
| 650 | C22×D3 | — | 20 | 1 | no | — |
| 651 | C22×D3 | — | 20 | 1 | no | — |
| 652 | C22×D3 | — | 20 | 1 | no | — |
| 653 | C3×Q8 | — | 5 | 1 | no | — |
| 654 | C3×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 655 | C3×D4 | — | 2 | 1 | no | — |
| 656 | C3×D4 | — | 2 | 1 | no | — |
| 657 | C3×D4 | — | 2 | 1 | no | — |
| 658 | C3×D4 | — | 5 | 1 | no | — |
| 659 | C3×D4 | — | 10 | 1 | no | — |
| 660 | C3×D4 | — | 10 | 1 | no | — |
| 661 | C3×D4 | — | 10 | 1 | no | — |
| 662 | C3×D4 | — | 20 | 1 | no | — |
| 663 | C3×D4 | — | 20 | 1 | no | — |
| 664 | C3×D4 | — | 40 | 2 | no | — |
| 665 | C3×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 666 | C2×C3×C4 | — | 2 | 1 | no | — |
| 667 | C2×C3×C4 | — | 10 | 1 | no | — |
| 668 | C2×C3×C4 | — | 10 | 1 | no | — |
| 669 | C2×C3×C4 | — | 20 | 1 | no | — |
| 670 | C2×C3×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 671 | #67 | — | 10 | 1 | no | — |
| 672 | #67 | — | 10 | 1 | no | — |
| 673 | #67 | — | 20 | 1 | no | — |
| 674 | #67 | — | 20 | 1 | no | — |
| 675 | #67 | — | 20 | 1 | no | — |
| 676 | #67 | — | 20 | 1 | no | — |
| 677 | C2×Dic3 | — | 20 | 1 | no | — |
| 678 | D12 | — | 2 | 1 | no | — |
| 679 | D12 | — | 2 | 1 | no | — |
| 680 | D12 | — | 5 | 1 | no | — |
| 681 | D12 | — | 5 | 1 | no | — |
| 682 | D12 | — | 10 | 1 | no | — |
| 683 | D12 | — | 10 | 1 | no | — |
| 684 | D12 | — | 20 | 1 | no | — |
| 685 | D12 | — | 20 | 1 | no | — |
| 686 | D12 | — | 40 | 2 | no | — |
| 687 | C4×D3 | — | 10 | 1 | no | — |
| 688 | C4×D3 | — | 10 | 1 | no | — |
| 689 | C4×D3 | — | 20 | 1 | no | — |
| 690 | C4×D3 | — | 20 | 1 | no | — |
| 691 | Dic6 | — | 5 | 1 | no | — |
| 692 | Dic6 | — | 5 | 1 | no | — |
| 693 | C3×C8 | — | 2 | 1 | no | — |
| 694 | C3×C8 | — | 10 | 1 | no | — |
| 695 | C3⋊C8 | — | 2 | 1 | no | — |
| 696 | C3⋊C8 | — | 2 | 1 | no | — |
| 697 | C3⋊C8 | — | 5 | 1 | no | — |
| 698 | C3⋊C8 | — | 5 | 1 | no | — |
| 699 | C3⋊C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 700 | C3⋊C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 701 | C22×C5 | — | 2 | 1 | no | — |
| 702 | C22×C5 | — | 4 | 1 | no | — |
| 703 | C22×C5 | — | 8 | 1 | no | — |
| 704 | C22×C5 | — | 12 | 1 | no | — |
| 705 | C22×C5 | — | 24 | 1 | no | — |
| 706 | C22×C5 | #1004 | 1 | 1 | yes | characteristic |
| 707 | C2×D5 | — | 2 | 1 | no | — |
| 708 | C2×D5 | — | 4 | 1 | no | — |
| 709 | C2×D5 | — | 6 | 1 | no | — |
| 710 | C2×D5 | — | 6 | 1 | no | — |
| 711 | C2×D5 | — | 8 | 1 | no | — |
| 712 | C2×D5 | — | 12 | 1 | no | — |
| 713 | C2×D5 | — | 16 | 1 | no | — |
| 714 | C2×D5 | — | 24 | 1 | no | — |
| 715 | C2×D5 | — | 48 | 1 | no | — |
| 716 | C2×D5 | — | 48 | 1 | no | — |
| 717 | C2×D5 | — | 48 | 1 | no | — |
| 718 | C4×C5 | — | 2 | 1 | no | — |
| 719 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 720 | C4×C5 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 721 | Dic5 | — | 2 | 2 | no | — |
| 722 | Dic5 | — | 2 | 1 | no | — |
| 723 | Dic5 | — | 6 | 1 | no | — |
| 724 | Dic5 | — | 6 | 1 | no | — |
| 725 | #41 | — | 5 | 1 | no | — |
| 726 | #41 | — | 10 | 1 | no | — |
| 727 | #41 | — | 10 | 1 | no | — |
| 728 | #41 | — | 15 | 1 | no | — |
| 729 | #41 | — | 15 | 1 | no | — |
| 730 | #41 | — | 30 | 1 | no | — |
| 731 | #41 | — | 30 | 1 | no | — |
| 732 | #41 | — | 30 | 1 | no | — |
| 733 | #41 | — | 30 | 1 | no | — |
| 734 | #41 | — | 30 | 1 | no | — |
| 735 | #41 | — | 30 | 1 | no | — |
| 736 | #41 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 737 | C2×D4 | — | 3 | 1 | no | — |
| 738 | C2×D4 | — | 5 | 1 | no | — |
| 739 | C2×D4 | — | 10 | 1 | no | — |
| 740 | C2×D4 | — | 10 | 1 | no | — |
| 741 | C2×D4 | — | 15 | 1 | no | — |
| 742 | C2×D4 | — | 20 | 1 | no | — |
| 743 | C2×D4 | — | 20 | 1 | no | — |
| 744 | C2×D4 | — | 30 | 1 | no | — |
| 745 | C2×D4 | — | 30 | 1 | no | — |
| 746 | C2×D4 | — | 30 | 1 | no | — |
| 747 | C2×D4 | — | 30 | 1 | no | — |
| 748 | C2×D4 | — | 30 | 1 | no | — |
| 749 | C2×D4 | — | 30 | 1 | no | — |
| 750 | C2×D4 | — | 60 | 1 | no | — |
| 751 | C2×D4 | — | 60 | 1 | no | — |
| 752 | C2×D4 | — | 60 | 1 | no | — |
| 753 | C2×D4 | — | 60 | 1 | no | — |
| 754 | C2×D4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 755 | Q16 | — | 15 | 1 | no | — |
| 756 | Q16 | — | 15 | 1 | no | — |
| 757 | SD16 | — | 2 | 1 | no | — |
| 758 | SD16 | — | 6 | 1 | no | — |
| 759 | SD16 | — | 10 | 1 | no | — |
| 760 | SD16 | — | 15 | 1 | no | — |
| 761 | SD16 | — | 15 | 1 | no | — |
| 762 | SD16 | — | 15 | 1 | no | — |
| 763 | SD16 | — | 15 | 1 | no | — |
| 764 | SD16 | — | 30 | 1 | no | — |
| 765 | SD16 | — | 30 | 1 | no | — |
| 766 | SD16 | — | 30 | 1 | no | — |
| 767 | SD16 | — | 30 | 1 | no | — |
| 768 | SD16 | — | 30 | 1 | no | — |
| 769 | D8 | — | 2 | 1 | no | — |
| 770 | D8 | — | 6 | 1 | no | — |
| 771 | D8 | — | 6 | 1 | no | — |
| 772 | D8 | — | 6 | 1 | no | — |
| 773 | D8 | — | 10 | 1 | no | — |
| 774 | D8 | — | 15 | 1 | no | — |
| 775 | D8 | — | 15 | 1 | no | — |
| 776 | D8 | — | 30 | 1 | no | — |
| 777 | D8 | — | 30 | 1 | no | — |
| 778 | D8 | — | 30 | 1 | no | — |
| 779 | D8 | — | 30 | 1 | no | — |
| 780 | D8 | — | 30 | 1 | no | — |
| 781 | D8 | — | 30 | 1 | no | — |
| 782 | D8 | — | 30 | 1 | no | — |
| 783 | D8 | — | 30 | 1 | no | — |
| 784 | D8 | — | 30 | 1 | no | — |
| 785 | D8 | — | 30 | 1 | no | — |
| 786 | D8 | — | 30 | 1 | no | — |
| 787 | M16 | — | 3 | 1 | no | — |
| 788 | M16 | — | 3 | 1 | no | — |
| 789 | M16 | — | 5 | 1 | no | — |
| 790 | M16 | — | 6 | 1 | no | — |
| 791 | M16 | — | 30 | 1 | no | — |
| 792 | M16 | — | 30 | 1 | no | — |
| 793 | M16 | — | 30 | 1 | no | — |
| 794 | M16 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 795 | C2×C8 | — | 3 | 1 | no | — |
| 796 | C2×C8 | — | 6 | 1 | no | — |
| 797 | C2×C8 | — | 15 | 1 | no | — |
| 798 | C2×C8 | — | 30 | 1 | no | — |
| 799 | C2×C8 | — | 30 | 1 | no | — |
| 800 | C2×C8 | — | 30 | 1 | no | — |
| 801 | C42 | — | 5 | 1 | no | — |
| 802 | C3×C5 | #3292 | 1 | 1 | yes | characteristic, complemented, Hall |
| 803 | C22×C3 | — | 2 | 1 | no | — |
| 804 | C22×C3 | — | 4 | 1 | no | — |
| 805 | C22×C3 | — | 8 | 1 | no | — |
| 806 | C22×C3 | — | 10 | 1 | no | — |
| 807 | C22×C3 | — | 20 | 1 | no | — |
| 808 | C22×C3 | — | 40 | 1 | no | — |
| 809 | C22×C3 | — | 80 | 1 | no | — |
| 810 | C22×C3 | #4149 | 1 | 1 | yes | characteristic |
| 811 | C2×D3 | — | 4 | 1 | no | — |
| 812 | C2×D3 | — | 8 | 1 | no | — |
| 813 | C2×D3 | — | 10 | 1 | no | — |
| 814 | C2×D3 | — | 10 | 1 | no | — |
| 815 | C2×D3 | — | 20 | 1 | no | — |
| 816 | C2×D3 | — | 40 | 1 | no | — |
| 817 | C2×D3 | — | 80 | 1 | no | — |
| 818 | C2×D3 | — | 80 | 1 | no | — |
| 819 | C2×D3 | — | 80 | 1 | no | — |
| 820 | C3×C4 | — | 2 | 1 | no | — |
| 821 | C3×C4 | — | 10 | 2 | no | — |
| 822 | C3×C4 | — | 10 | 1 | no | — |
| 823 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 824 | C3×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 825 | Dic3 | — | 10 | 1 | no | — |
| 826 | Dic3 | — | 10 | 1 | no | — |
| 827 | C2×C5 | — | 2 | 1 | no | — |
| 828 | C2×C5 | — | 4 | 1 | no | — |
| 829 | C2×C5 | — | 8 | 1 | no | — |
| 830 | C2×C5 | — | 24 | 1 | no | — |
| 831 | C2×C5 | #5590 | 1 | 1 | yes | characteristic |
| 832 | D5 | — | 4 | 1 | no | — |
| 833 | D5 | — | 8 | 1 | no | — |
| 834 | D5 | — | 12 | 1 | no | — |
| 835 | D5 | — | 12 | 1 | no | — |
| 836 | D5 | — | 24 | 1 | no | — |
| 837 | C23 | — | 2 | 1 | no | — |
| 838 | C23 | — | 6 | 1 | no | — |
| 839 | C23 | — | 10 | 1 | no | — |
| 840 | C23 | — | 20 | 1 | no | — |
| 841 | C23 | — | 30 | 1 | no | — |
| 842 | C23 | — | 60 | 1 | no | — |
| 843 | C23 | — | 60 | 1 | no | — |
| 844 | C23 | — | 60 | 1 | no | — |
| 845 | Q8 | — | 5 | 1 | no | — |
| 846 | Q8 | — | 15 | 1 | no | — |
| 847 | Q8 | — | 15 | 1 | no | — |
| 848 | Q8 | #6790 | 1 | 1 | yes | characteristic |
| 849 | D4 | — | 2 | 1 | no | — |
| 850 | D4 | — | 2 | 1 | no | — |
| 851 | D4 | — | 2 | 1 | no | — |
| 852 | D4 | — | 5 | 1 | no | — |
| 853 | D4 | — | 6 | 1 | no | — |
| 854 | D4 | — | 6 | 1 | no | — |
| 855 | D4 | — | 10 | 1 | no | — |
| 856 | D4 | — | 10 | 1 | no | — |
| 857 | D4 | — | 10 | 1 | no | — |
| 858 | D4 | — | 15 | 1 | no | — |
| 859 | D4 | — | 15 | 1 | no | — |
| 860 | D4 | — | 20 | 1 | no | — |
| 861 | D4 | — | 20 | 1 | no | — |
| 862 | D4 | — | 30 | 1 | no | — |
| 863 | D4 | — | 30 | 1 | no | — |
| 864 | D4 | — | 30 | 1 | no | — |
| 865 | D4 | — | 30 | 1 | no | — |
| 866 | D4 | — | 40 | 2 | no | — |
| 867 | D4 | — | 60 | 1 | no | — |
| 868 | D4 | — | 60 | 1 | no | — |
| 869 | D4 | — | 60 | 1 | no | — |
| 870 | D4 | — | 60 | 1 | no | — |
| 871 | D4 | — | 60 | 1 | no | — |
| 872 | D4 | — | 60 | 1 | no | — |
| 873 | D4 | — | 120 | 2 | no | — |
| 874 | D4 | #6790 | 1 | 1 | yes | characteristic |
| 875 | C2×C4 | — | 2 | 1 | no | — |
| 876 | C2×C4 | — | 10 | 1 | no | — |
| 877 | C2×C4 | — | 10 | 1 | no | — |
| 878 | C2×C4 | — | 20 | 1 | no | — |
| 879 | C2×C4 | — | 30 | 1 | no | — |
| 880 | C2×C4 | — | 30 | 1 | no | — |
| 881 | C2×C4 | — | 60 | 1 | no | — |
| 882 | C2×C4 | — | 60 | 1 | no | — |
| 883 | C2×C4 | — | 60 | 1 | no | — |
| 884 | C2×C4 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 885 | C8 | — | 2 | 1 | no | — |
| 886 | C8 | — | 3 | 1 | no | — |
| 887 | C8 | — | 3 | 1 | no | — |
| 888 | C8 | — | 6 | 1 | no | — |
| 889 | C8 | — | 6 | 1 | no | — |
| 890 | C8 | — | 10 | 1 | no | — |
| 891 | C8 | — | 15 | 1 | no | — |
| 892 | C8 | — | 15 | 1 | no | — |
| 893 | C2×C3 | — | 2 | 1 | no | — |
| 894 | C2×C3 | — | 4 | 1 | no | — |
| 895 | C2×C3 | — | 8 | 1 | no | — |
| 896 | C2×C3 | — | 20 | 1 | no | — |
| 897 | C2×C3 | — | 40 | 1 | no | — |
| 898 | C2×C3 | #65943 | 1 | 1 | yes | characteristic |
| 899 | D3 | — | 8 | 1 | no | — |
| 900 | D3 | — | 20 | 1 | no | — |
| 901 | D3 | — | 20 | 1 | no | — |
| 902 | D3 | — | 40 | 1 | no | — |
| 903 | C5 | #80282 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 904 | C22 | — | 2 | 1 | no | — |
| 905 | C22 | — | 4 | 1 | no | — |
| 906 | C22 | — | 8 | 1 | no | — |
| 907 | C22 | — | 10 | 1 | no | — |
| 908 | C22 | — | 12 | 1 | no | — |
| 909 | C22 | — | 20 | 1 | no | — |
| 910 | C22 | — | 24 | 1 | no | — |
| 911 | C22 | — | 30 | 1 | no | — |
| 912 | C22 | — | 30 | 1 | no | — |
| 913 | C22 | — | 40 | 1 | no | — |
| 914 | C22 | — | 60 | 1 | no | — |
| 915 | C22 | — | 80 | 1 | no | — |
| 916 | C22 | — | 120 | 1 | no | — |
| 917 | C22 | — | 240 | 1 | no | — |
| 918 | C22 | — | 240 | 1 | no | — |
| 919 | C22 | — | 240 | 1 | no | — |
| 920 | C22 | #92026 | 1 | 1 | yes | characteristic |
| 921 | C4 | — | 2 | 1 | no | — |
| 922 | C4 | — | 10 | 2 | no | — |
| 923 | C4 | — | 10 | 1 | no | — |
| 924 | C4 | — | 30 | 1 | no | — |
| 925 | C4 | — | 30 | 1 | no | — |
| 926 | C4 | D3×D4×D5 | 1 | 1 | yes | characteristic |
| 927 | C4 | C2×#6790 | 1 | 1 | yes | characteristic |
| 928 | C3 | #10612672 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 929 | C2 | — | 2 | 1 | no | — |
| 930 | C2 | — | 4 | 1 | no | — |
| 931 | C2 | — | 8 | 1 | no | — |
| 932 | C2 | — | 20 | 1 | no | — |
| 933 | C2 | — | 24 | 1 | no | — |
| 934 | C2 | — | 40 | 1 | no | — |
| 935 | C2 | — | 60 | 1 | no | — |
| 936 | C2 | — | 60 | 1 | no | — |
| 937 | C2 | — | 120 | 1 | no | — |
| 938 | C2 | #11755039 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11756533 | C2 | semidirect |
| 2. #11755316 | C2 | semidirect |
| 3. #11755311 | C2 | semidirect |
| 4. #11754704 | C2 | semidirect |
| 5. C5×#5199 | C2 | semidirect |
| 6. C3×#65487 | C2 | semidirect |
| 7. #11749438 | C2 | semidirect |
| 8. #11749422 | C2 | semidirect |
| 9. #11749142 | C2 | semidirect |
| 10. #11749132 | C2 | semidirect |
| 11. #11749093 | C2 | semidirect |
| 12. #11748249 | C2 | semidirect |
| 13. #11748195 | C2 | semidirect |
| 14. #11748194 | C2 | semidirect |
| 15. #11748174 | C2 | semidirect |
| 17. #92100 | C22 | semidirect |
| 18. #92095 | C22 | semidirect |
| 19. C3×#4149 | C22 | semidirect |
| 20. #92018 | C22 | semidirect |
| 21. C3×C5×AGL(1,ℤ/8) | C22 | semidirect |
| 23. C2×#6715 | C22 | semidirect |
| 28. #91797 | C22 | semidirect |
| 29. #91796 | C22 | semidirect |
| 30. C5×#949 | C22 | semidirect |
| 31. C5×#948 | C22 | semidirect |
| 32. C2×C5×#213 | C22 | semidirect |
| 33. C3×#4086 | C22 | semidirect |
| 34. C3×#4078 | C22 | semidirect |
| 43. #91451 | C22 | semidirect |
| 45. #91312 | C22 | semidirect |
| 46. #91312 | C22 | semidirect |
| 49. #91304 | C22 | semidirect |
| 51. #91301 | C22 | semidirect |
| 53. C2×#6653 | C22 | semidirect |
| 54. C2×#6652 | C22 | semidirect |
| 55. #91291 | C22 | semidirect |
| 56. #91284 | C22 | semidirect |
| 57. C5×#833 | C22 | semidirect |
| 58. C5×#823 | C22 | semidirect |
| 59. C5×#822 | C22 | semidirect |
| 60. C3×#3969 | C22 | semidirect |
| 61. C3×#3957 | C22 | semidirect |
| 62. C3×#3955 | C22 | semidirect |
| 63. #90992 | C22 | semidirect |
| 64. #90981 | C22 | semidirect |
| 65. #90981 | C22 | semidirect |
| 66. #90960 | C22 | semidirect |
| 67. Dic5×C3⋊C8 | C22 | semidirect |
| 75. #65487 | D3 | semidirect |
| 117. #6718 | D4 | semidirect |
| 118. #6717 | D4 | semidirect |
| 119. #6716 | D4 | semidirect |
| 122. #6715 | D4 | semidirect |
| 141. #6662 | D4 | semidirect |
| 144. #6658 | D4 | semidirect |
| 147. #6657 | D4 | semidirect |
| 154. #6653 | D4 | semidirect |
| 167. #5199 | D5 | semidirect |
| 177. #4149 | C2×D3 | semidirect |
| 181. C5×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 186. #4086 | C2×D3 | semidirect |
| 188. #4078 | C2×D3 | semidirect |
| 219. #3969 | C2×D3 | semidirect |
| 222. #3957 | C2×D3 | semidirect |
| 224. #3955 | C2×D3 | semidirect |
| 289. C3×AGL(1,ℤ/8) | C2×D5 | semidirect |
| 298. #949 | C2×D5 | semidirect |
| 300. #948 | C2×D5 | semidirect |
| 310. C2×#213 | C2×D5 | semidirect |
| 327. #833 | C2×D5 | semidirect |
| 329. #823 | C2×D5 | semidirect |
| 331. #822 | C2×D5 | semidirect |
| 603. AGL(1,ℤ/8) | D3×D5 | semidirect |
| 802. C3×C5 | #3292 | semidirect |
| 903. C5 | #80282 | semidirect |
| 928. C3 | #10612672 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756533 | 2 |
| #11755316 | 2 |
| #11755311 | 2 |
| #11754704 | 2 |
| C5×#5199 | 2 |
| C3×#65487 | 2 |
| #11749438 | 2 |
| #11749422 | 2 |
| #11749142 | 2 |
| #11749132 | 2 |
| #11749093 | 2 |
| #11748249 | 2 |
| #11748195 | 2 |
| #11748194 | 2 |
| #11748174 | 2 |
| #10612672 | 3 |
| #80282 | 5 |