Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1410 conjugacy classes of subgroups.
The subgroup lattice has 764 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10617940 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10610445 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10610425 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#2120 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10602509 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10600939 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10600850 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10599936 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | D5×AΣL(1,𝔽16) | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | C2×#4149 | C22 | 1 | 1 | yes | characteristic |
| 11 | C23×D20 | C4 | 1 | 1 | yes | characteristic, complemented |
| 12 | C5×#525 | C22 | 1 | 1 | yes | characteristic |
| 13 | #66164 | C22 | 1 | 1 | yes | characteristic |
| 14 | #66125 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | #66079 | — | 2 | 1 | no | — |
| 16 | #65987 | C4 | 1 | 2 | yes | complemented |
| 17 | #65987 | C22 | 1 | 2 | yes | — |
| 18 | #65964 | — | 2 | 2 | no | — |
| 19 | #65943 | — | 2 | 2 | no | — |
| 20 | D5×#120 | C4 | 1 | 2 | yes | complemented |
| 21 | D5×#120 | C22 | 1 | 2 | yes | — |
| 22 | #65884 | — | 2 | 1 | no | — |
| 23 | #65884 | — | 2 | 1 | no | — |
| 24 | D4×D20 | — | 2 | 1 | no | — |
| 25 | D4×D20 | — | 2 | 1 | no | — |
| 26 | #65859 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | #65855 | — | 2 | 1 | no | — |
| 28 | #65855 | C4 | 1 | 1 | yes | characteristic, complemented |
| 29 | C5×#413 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C5×#410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #65529 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #65526 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#3955 | — | 2 | 1 | no | — |
| 34 | #65295 | — | 2 | 1 | no | — |
| 35 | #65040 | — | 2 | 2 | no | — |
| 36 | D5×#100 | C22 | 1 | 4 | yes | complemented |
| 37 | D5×#99 | — | 2 | 2 | no | — |
| 38 | D5×#99 | C22 | 1 | 4 | yes | complemented |
| 39 | C5×#352 | C22 | 1 | 2 | yes | complemented |
| 40 | C5×AΣL(1,𝔽16) | C22 | 1 | 2 | yes | complemented |
| 41 | #64759 | C22 | 1 | 2 | yes | complemented |
| 42 | #64756 | C22 | 1 | 2 | yes | complemented |
| 43 | #64695 | C22 | 1 | 4 | yes | complemented |
| 44 | #64691 | C22 | 1 | 4 | yes | complemented |
| 45 | #33348 | — | 5 | 1 | no | maximal, Sylow |
| 46 | C24×D5 | C2×C4 | 1 | 2 | yes | complemented |
| 47 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 48 | C23×C4×C5 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 49 | #4149 | — | 4 | 2 | no | — |
| 50 | #4149 | — | 4 | 2 | no | — |
| 51 | C2×#713 | D4 | 1 | 2 | yes | — |
| 52 | C2×D4×D5 | — | 2 | 2 | no | — |
| 53 | C2×D4×D5 | — | 2 | 2 | no | — |
| 54 | C2×D4×D5 | C2×C4 | 1 | 2 | yes | — |
| 55 | C2×D4×D5 | D4 | 1 | 2 | yes | — |
| 56 | C2×D4×D5 | C23 | 1 | 2 | yes | — |
| 57 | C2×#709 | C2×C4 | 1 | 1 | yes | characteristic |
| 58 | C2×#709 | D4 | 1 | 1 | yes | characteristic |
| 59 | C2×#709 | D4 | 1 | 1 | yes | characteristic |
| 60 | C22×D20 | — | 2 | 1 | no | — |
| 61 | C22×D20 | — | 2 | 1 | no | — |
| 62 | C22×D20 | — | 2 | 2 | no | — |
| 63 | C22×D20 | — | 4 | 2 | no | — |
| 64 | C22×D20 | — | 4 | 2 | no | — |
| 65 | C22×D20 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | C22×D20 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 67 | C22×D20 | C2×C4 | 1 | 2 | yes | complemented |
| 68 | C22×D20 | D4 | 1 | 1 | yes | characteristic |
| 69 | C22×D20 | D4 | 1 | 1 | yes | characteristic |
| 70 | C2×C5×M16 | — | 2 | 1 | no | — |
| 71 | C5×#123 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 72 | C5×#123 | C23 | 1 | 1 | yes | characteristic |
| 73 | C5×C22⋊Q8 | — | 2 | 1 | no | — |
| 74 | C5×#121 | — | 2 | 1 | no | — |
| 75 | C5×#120 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 76 | C5×#120 | C23 | 1 | 1 | yes | characteristic |
| 77 | C4×C5×D4 | — | 2 | 1 | no | — |
| 78 | C4×C5×D4 | — | 2 | 1 | no | — |
| 79 | C5×#117 | — | 2 | 1 | no | — |
| 80 | C5×#117 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 81 | #4099 | C2×C4 | 1 | 2 | yes | complemented |
| 82 | #4093 | — | 2 | 1 | no | — |
| 83 | #4086 | — | 2 | 1 | no | — |
| 84 | #4083 | — | 2 | 2 | no | — |
| 85 | #4083 | — | 2 | 2 | no | — |
| 86 | #4083 | C2×C4 | 1 | 2 | yes | complemented |
| 87 | #4083 | C23 | 1 | 2 | yes | — |
| 88 | #4076 | — | 2 | 1 | no | — |
| 89 | #4076 | — | 2 | 1 | no | — |
| 90 | #4076 | — | 2 | 1 | no | — |
| 91 | #4075 | C2×C4 | 1 | 2 | yes | complemented |
| 92 | C4×C22⋊D5 | — | 2 | 2 | no | — |
| 93 | #4072 | — | 2 | 1 | no | — |
| 94 | #4072 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 95 | #4070 | — | 2 | 1 | no | — |
| 96 | C2×#681 | — | 2 | 1 | no | — |
| 97 | #4053 | — | 4 | 2 | no | — |
| 98 | D5×M16 | — | 2 | 4 | no | — |
| 99 | #4047 | — | 4 | 2 | no | — |
| 100 | #4041 | — | 2 | 2 | no | — |
| 101 | #4041 | — | 2 | 2 | no | — |
| 102 | #4041 | — | 2 | 2 | no | — |
| 103 | #4040 | — | 2 | 2 | no | — |
| 104 | #4040 | — | 2 | 2 | no | — |
| 105 | #4039 | — | 2 | 2 | no | — |
| 106 | #4039 | — | 4 | 2 | no | — |
| 107 | #4030 | — | 2 | 2 | no | — |
| 108 | #4030 | — | 2 | 2 | no | — |
| 109 | #4028 | — | 2 | 2 | no | — |
| 110 | #4028 | — | 2 | 2 | no | — |
| 111 | #4028 | — | 2 | 2 | no | — |
| 112 | #4028 | — | 2 | 2 | no | — |
| 113 | #4028 | C2×C4 | 1 | 2 | yes | complemented |
| 114 | #4028 | C2×C4 | 1 | 2 | yes | complemented |
| 115 | D5×C22⋊C4 | — | 2 | 2 | no | — |
| 116 | D5×C22⋊C4 | — | 2 | 2 | no | — |
| 117 | D5×C22⋊C4 | — | 2 | 4 | no | — |
| 118 | D5×C22⋊C4 | C2×C4 | 1 | 2 | yes | complemented |
| 119 | D5×C22⋊C4 | C2×C4 | 1 | 2 | yes | complemented |
| 120 | #4021 | — | 2 | 1 | no | — |
| 121 | #4020 | — | 2 | 1 | no | — |
| 122 | C4×D20 | — | 2 | 1 | no | — |
| 123 | C4×D20 | — | 2 | 1 | no | — |
| 124 | C4×D20 | — | 4 | 2 | no | — |
| 125 | C5×#101 | — | 2 | 1 | no | — |
| 126 | C5×#100 | C23 | 1 | 2 | yes | — |
| 127 | C5×#99 | — | 2 | 1 | no | — |
| 128 | C5×#99 | C23 | 1 | 2 | yes | — |
| 129 | #3968 | — | 2 | 1 | no | — |
| 130 | #3966 | — | 2 | 1 | no | — |
| 131 | #3966 | C23 | 1 | 2 | yes | — |
| 132 | #3965 | C23 | 1 | 2 | yes | — |
| 133 | #3955 | — | 2 | 4 | no | — |
| 134 | #3938 | — | 2 | 4 | no | — |
| 135 | #3484 | — | 5 | 1 | no | — |
| 136 | #2888 | — | 5 | 1 | no | — |
| 137 | #2883 | — | 5 | 1 | no | — |
| 138 | #2122 | — | 5 | 1 | no | — |
| 139 | #2122 | — | 5 | 1 | no | — |
| 140 | #2121 | — | 5 | 4 | no | — |
| 141 | #2120 | — | 5 | 1 | no | — |
| 142 | #2120 | D5 | 1 | 1 | yes | characteristic, complemented |
| 143 | C2×AΣL(1,𝔽16) | — | 5 | 4 | no | — |
| 144 | C24×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 145 | C23×D5 | — | 2 | 2 | no | — |
| 146 | C23×D5 | — | 2 | 2 | no | — |
| 147 | C23×D5 | — | 4 | 4 | no | — |
| 148 | C23×D5 | — | 8 | 4 | no | — |
| 149 | C23×D5 | C22⋊C4 | 1 | 2 | yes | — |
| 150 | C23×D5 | C22×C4 | 1 | 2 | yes | — |
| 151 | C23×D5 | C22×C4 | 1 | 2 | yes | — |
| 152 | C23×D5 | C2×D4 | 1 | 2 | yes | — |
| 153 | C5×#41 | — | 4 | 1 | no | — |
| 154 | C5×#41 | — | 4 | 1 | no | — |
| 155 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 156 | C2×C5×D4 | — | 2 | 1 | no | — |
| 157 | C2×C5×D4 | — | 2 | 1 | no | — |
| 158 | C2×C5×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 159 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C2×C5×D4 | C24 | 1 | 1 | yes | characteristic |
| 161 | C22×C4×C5 | — | 2 | 1 | no | — |
| 162 | C22×C4×C5 | — | 2 | 1 | no | — |
| 163 | C22×C4×C5 | — | 4 | 1 | no | — |
| 164 | C22×C4×C5 | — | 4 | 1 | no | — |
| 165 | C22×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 166 | C22×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 167 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C22×C4×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 169 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 170 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 171 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 172 | C2×C22⋊D5 | C22⋊C4 | 1 | 2 | yes | — |
| 173 | C2×C22⋊D5 | C22×C4 | 1 | 2 | yes | — |
| 174 | C2×C22⋊D5 | C2×D4 | 1 | 2 | yes | — |
| 175 | #713 | — | 4 | 4 | no | — |
| 176 | D4×D5 | — | 4 | 4 | no | — |
| 177 | D4×D5 | — | 4 | 4 | no | — |
| 178 | D4×D5 | — | 4 | 4 | no | — |
| 179 | D4×D5 | — | 8 | 4 | no | — |
| 180 | D4×D5 | — | 8 | 4 | no | — |
| 181 | #709 | — | 2 | 2 | no | — |
| 182 | #709 | — | 2 | 2 | no | — |
| 183 | #709 | — | 4 | 1 | no | — |
| 184 | #709 | — | 4 | 1 | no | — |
| 185 | #709 | — | 4 | 1 | no | — |
| 186 | #709 | — | 4 | 1 | no | — |
| 187 | C2×D20 | — | 2 | 2 | no | — |
| 188 | C2×D20 | — | 2 | 2 | no | — |
| 189 | C2×D20 | — | 2 | 2 | no | — |
| 190 | C2×D20 | — | 2 | 2 | no | — |
| 191 | C2×D20 | — | 2 | 2 | no | — |
| 192 | C2×D20 | — | 2 | 2 | no | — |
| 193 | C2×D20 | — | 2 | 1 | no | — |
| 194 | C2×D20 | — | 2 | 1 | no | — |
| 195 | C2×D20 | — | 2 | 2 | no | — |
| 196 | C2×D20 | — | 2 | 2 | no | — |
| 197 | C2×D20 | — | 4 | 1 | no | — |
| 198 | C2×D20 | — | 4 | 1 | no | — |
| 199 | C2×D20 | — | 4 | 8 | no | — |
| 200 | C2×D20 | — | 4 | 2 | no | — |
| 201 | C2×D20 | — | 4 | 2 | no | — |
| 202 | C2×D20 | — | 4 | 2 | no | — |
| 203 | C2×D20 | — | 4 | 2 | no | — |
| 204 | C2×D20 | — | 4 | 1 | no | — |
| 205 | C2×D20 | — | 4 | 1 | no | — |
| 206 | C2×D20 | — | 4 | 4 | no | — |
| 207 | C2×D20 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 208 | C2×D20 | C22⋊C4 | 1 | 2 | yes | — |
| 209 | C2×D20 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 210 | C2×D20 | C22⋊C4 | 1 | 2 | yes | — |
| 211 | C2×D20 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 212 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 213 | C2×C4×D5 | — | 2 | 2 | no | — |
| 214 | C2×C4×D5 | — | 2 | 2 | no | — |
| 215 | C2×C4×D5 | — | 4 | 4 | no | — |
| 216 | C2×C4×D5 | C22⋊C4 | 1 | 2 | yes | — |
| 217 | C2×C4×D5 | C22⋊C4 | 1 | 2 | yes | — |
| 218 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 219 | C2×Dic10 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 220 | C5×M16 | — | 2 | 2 | no | — |
| 221 | C5×M16 | — | 4 | 1 | no | — |
| 222 | C2×C5×C8 | — | 4 | 1 | no | — |
| 223 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 224 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 225 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 226 | C5×C4⋊C4 | — | 4 | 1 | no | — |
| 227 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 228 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 229 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 230 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 231 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 232 | C5×C22⋊C4 | C22×C4 | 1 | 1 | yes | characteristic |
| 233 | C5×C22⋊C4 | C22×C4 | 1 | 1 | yes | characteristic |
| 234 | C42×C5 | — | 2 | 1 | no | — |
| 235 | C42×C5 | — | 4 | 1 | no | — |
| 236 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 237 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 238 | C22⋊Dic5 | C22×C4 | 1 | 2 | yes | — |
| 239 | #685 | — | 2 | 2 | no | — |
| 240 | #685 | — | 2 | 2 | no | — |
| 241 | #685 | — | 2 | 2 | no | — |
| 242 | #685 | — | 2 | 2 | no | — |
| 243 | #685 | — | 2 | 2 | no | — |
| 244 | #685 | — | 2 | 2 | no | — |
| 245 | #685 | — | 2 | 2 | no | — |
| 246 | #685 | — | 4 | 4 | no | — |
| 247 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 248 | C4⋊Dic5 | — | 4 | 1 | no | — |
| 249 | #683 | — | 2 | 2 | no | — |
| 250 | C4×Dic5 | — | 2 | 1 | no | — |
| 251 | C4×Dic5 | — | 4 | 1 | no | — |
| 252 | #681 | — | 2 | 2 | no | — |
| 253 | #681 | — | 4 | 1 | no | — |
| 254 | C2×#168 | — | 4 | 1 | no | — |
| 255 | #676 | — | 4 | 4 | no | — |
| 256 | C8×D5 | — | 4 | 4 | no | — |
| 257 | C2×H(5,𝔽2) | — | 5 | 1 | no | — |
| 258 | C23×D4 | — | 5 | 1 | no | — |
| 259 | #568 | — | 10 | 1 | no | — |
| 260 | #546 | — | 10 | 1 | no | — |
| 261 | #546 | — | 10 | 1 | no | — |
| 262 | #546 | — | 10 | 2 | no | — |
| 263 | D42 | — | 10 | 1 | no | — |
| 264 | D42 | — | 10 | 1 | no | — |
| 265 | D42 | — | 10 | 2 | no | — |
| 266 | #535 | — | 5 | 1 | no | — |
| 267 | #535 | — | 5 | 1 | no | — |
| 268 | #534 | — | 5 | 2 | no | — |
| 269 | #534 | — | 5 | 2 | no | — |
| 270 | #525 | — | 5 | 1 | no | — |
| 271 | #525 | C2×D5 | 1 | 1 | yes | characteristic |
| 272 | C2×#120 | — | 5 | 2 | no | — |
| 273 | C2×#120 | — | 5 | 2 | no | — |
| 274 | #518 | — | 5 | 1 | no | — |
| 275 | #518 | — | 10 | 1 | no | — |
| 276 | #413 | — | 5 | 1 | no | — |
| 277 | #413 | — | 10 | 2 | no | — |
| 278 | #413 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 279 | C2×#100 | — | 5 | 4 | no | — |
| 280 | C2×#100 | — | 10 | 1 | no | — |
| 281 | #410 | — | 5 | 1 | no | — |
| 282 | #410 | — | 10 | 1 | no | — |
| 283 | #410 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 284 | C2×#99 | — | 5 | 4 | no | — |
| 285 | C2×#99 | — | 10 | 2 | no | — |
| 286 | #352 | — | 5 | 2 | no | — |
| 287 | #352 | C2×D5 | 1 | 2 | yes | complemented |
| 288 | AΣL(1,𝔽16) | — | 5 | 2 | no | — |
| 289 | AΣL(1,𝔽16) | — | 5 | 4 | no | — |
| 290 | AΣL(1,𝔽16) | — | 5 | 4 | no | — |
| 291 | AΣL(1,𝔽16) | C2×D5 | 1 | 2 | yes | complemented |
| 292 | C23×C5 | — | 2 | 1 | no | — |
| 293 | C23×C5 | — | 4 | 1 | no | — |
| 294 | C23×C5 | — | 4 | 2 | no | — |
| 295 | C23×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 296 | C23×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 297 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 298 | C22×D5 | — | 2 | 4 | no | — |
| 299 | C22×D5 | — | 2 | 4 | no | — |
| 300 | C22×D5 | — | 2 | 2 | no | — |
| 301 | C22×D5 | — | 4 | 2 | no | — |
| 302 | C22×D5 | — | 4 | 4 | no | — |
| 303 | C22×D5 | — | 4 | 4 | no | — |
| 304 | C22×D5 | — | 4 | 4 | no | — |
| 305 | C22×D5 | — | 4 | 4 | no | — |
| 306 | C22×D5 | — | 4 | 2 | no | — |
| 307 | C22×D5 | — | 8 | 2 | no | — |
| 308 | C22×D5 | — | 8 | 2 | no | — |
| 309 | C22×D5 | — | 8 | 2 | no | — |
| 310 | C22×D5 | — | 8 | 2 | no | — |
| 311 | C22×D5 | — | 8 | 2 | no | — |
| 312 | C22×D5 | — | 8 | 2 | no | — |
| 313 | C22×D5 | — | 8 | 8 | no | — |
| 314 | C22×D5 | — | 8 | 8 | no | — |
| 315 | C22×D5 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 316 | C22×D5 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 317 | C22×D5 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 318 | C5×Q8 | — | 4 | 1 | no | — |
| 319 | C5×D4 | — | 4 | 1 | no | — |
| 320 | C5×D4 | — | 4 | 1 | no | — |
| 321 | C5×D4 | — | 4 | 1 | no | — |
| 322 | C5×D4 | — | 4 | 2 | no | — |
| 323 | C5×D4 | — | 4 | 2 | no | — |
| 324 | C2×C4×C5 | — | 2 | 1 | no | — |
| 325 | C2×C4×C5 | — | 2 | 1 | no | — |
| 326 | C2×C4×C5 | — | 2 | 1 | no | — |
| 327 | C2×C4×C5 | — | 2 | 1 | no | — |
| 328 | C2×C4×C5 | — | 2 | 1 | no | — |
| 329 | C2×C4×C5 | — | 2 | 1 | no | — |
| 330 | C2×C4×C5 | — | 2 | 1 | no | — |
| 331 | C2×C4×C5 | — | 2 | 1 | no | — |
| 332 | C2×C4×C5 | — | 2 | 1 | no | — |
| 333 | C2×C4×C5 | — | 4 | 2 | no | — |
| 334 | C2×C4×C5 | — | 4 | 1 | no | — |
| 335 | C2×C4×C5 | — | 4 | 1 | no | — |
| 336 | C2×C4×C5 | — | 4 | 1 | no | — |
| 337 | C2×C4×C5 | — | 4 | 2 | no | — |
| 338 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 339 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 340 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 341 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 342 | C22⋊D5 | — | 2 | 4 | no | — |
| 343 | C22⋊D5 | — | 4 | 2 | no | — |
| 344 | C22⋊D5 | — | 4 | 2 | no | — |
| 345 | C22⋊D5 | — | 4 | 4 | no | — |
| 346 | C22⋊D5 | — | 8 | 2 | no | — |
| 347 | C22⋊D5 | — | 8 | 2 | no | — |
| 348 | C2×Dic5 | — | 2 | 2 | no | — |
| 349 | C2×Dic5 | — | 4 | 2 | no | — |
| 350 | C2×Dic5 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 351 | D20 | — | 2 | 4 | no | — |
| 352 | D20 | — | 2 | 4 | no | — |
| 353 | D20 | — | 2 | 1 | no | — |
| 354 | D20 | — | 2 | 1 | no | — |
| 355 | D20 | — | 2 | 1 | no | — |
| 356 | D20 | — | 2 | 1 | no | — |
| 357 | D20 | — | 4 | 2 | no | — |
| 358 | D20 | — | 4 | 2 | no | — |
| 359 | D20 | — | 4 | 4 | no | — |
| 360 | D20 | — | 4 | 4 | no | — |
| 361 | D20 | — | 4 | 1 | no | — |
| 362 | D20 | — | 4 | 1 | no | — |
| 363 | D20 | — | 8 | 2 | no | — |
| 364 | D20 | — | 8 | 2 | no | — |
| 365 | D20 | #99 | 1 | 2 | yes | — |
| 366 | D20 | #99 | 1 | 2 | yes | — |
| 367 | C4×D5 | — | 2 | 4 | no | — |
| 368 | C4×D5 | — | 4 | 2 | no | — |
| 369 | C4×D5 | — | 4 | 2 | no | — |
| 370 | C4×D5 | — | 8 | 2 | no | — |
| 371 | C4×D5 | — | 8 | 2 | no | — |
| 372 | C4×D5 | — | 16 | 4 | no | — |
| 373 | Dic10 | — | 2 | 1 | no | — |
| 374 | Dic10 | — | 2 | 1 | no | — |
| 375 | C5×C8 | — | 4 | 2 | no | — |
| 376 | #168 | — | 4 | 2 | no | — |
| 377 | C25 | — | 5 | 2 | no | — |
| 378 | H(5,𝔽2) | — | 20 | 2 | no | — |
| 379 | H(5,𝔽2) | — | 20 | 2 | no | — |
| 380 | C2×#41 | — | 5 | 2 | no | — |
| 381 | C2×#41 | — | 5 | 1 | no | — |
| 382 | C2×#41 | — | 5 | 1 | no | — |
| 383 | C2×#41 | — | 5 | 1 | no | — |
| 384 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 385 | C22×D4 | — | 5 | 2 | no | — |
| 386 | C22×D4 | — | 5 | 2 | no | — |
| 387 | C22×D4 | — | 5 | 2 | no | — |
| 388 | C22×D4 | — | 5 | 1 | no | — |
| 389 | C22×D4 | — | 5 | 2 | no | — |
| 390 | C22×D4 | — | 5 | 1 | no | — |
| 391 | C22×D4 | — | 5 | 1 | no | — |
| 392 | C22×D4 | — | 5 | 1 | no | — |
| 393 | C22×D4 | — | 10 | 2 | no | — |
| 394 | C22×D4 | — | 10 | 1 | no | — |
| 395 | C22×D4 | — | 10 | 1 | no | — |
| 396 | C22×D4 | — | 10 | 2 | no | — |
| 397 | C22×D4 | — | 10 | 2 | no | — |
| 398 | C22×D4 | — | 20 | 2 | no | — |
| 399 | C22×D4 | — | 20 | 2 | no | — |
| 400 | C23×C4 | C4×D5 | 1 | 1 | yes | characteristic, complemented |
| 401 | #131 | — | 20 | 2 | no | — |
| 402 | #131 | — | 20 | 2 | no | — |
| 403 | C2×M16 | — | 2 | 1 | no | — |
| 404 | C2×M16 | — | 10 | 4 | no | — |
| 405 | C2×M16 | — | 10 | 1 | no | — |
| 406 | #127 | — | 10 | 1 | no | — |
| 407 | #127 | — | 10 | 1 | no | — |
| 408 | #124 | — | 10 | 1 | no | — |
| 409 | #124 | — | 10 | 1 | no | — |
| 410 | #123 | — | 5 | 2 | no | — |
| 411 | #123 | — | 10 | 2 | no | — |
| 412 | #123 | — | 10 | 2 | no | — |
| 413 | #123 | C4×D5 | 1 | 1 | yes | characteristic, complemented |
| 414 | #123 | C22×D5 | 1 | 1 | yes | characteristic |
| 415 | C22⋊Q8 | — | 2 | 1 | no | — |
| 416 | C22⋊Q8 | — | 10 | 1 | no | — |
| 417 | #121 | — | 2 | 1 | no | — |
| 418 | #121 | — | 10 | 2 | no | — |
| 419 | #121 | — | 10 | 2 | no | — |
| 420 | #121 | — | 10 | 2 | no | — |
| 421 | #121 | — | 10 | 2 | no | — |
| 422 | #121 | — | 10 | 2 | no | — |
| 423 | #121 | — | 10 | 1 | no | — |
| 424 | #121 | — | 10 | 1 | no | — |
| 425 | #121 | — | 10 | 1 | no | — |
| 426 | #120 | — | 5 | 2 | no | — |
| 427 | #120 | — | 5 | 2 | no | — |
| 428 | #120 | — | 5 | 2 | no | — |
| 429 | #120 | — | 5 | 2 | no | — |
| 430 | #120 | — | 5 | 2 | no | — |
| 431 | #120 | — | 10 | 2 | no | — |
| 432 | #120 | — | 10 | 2 | no | — |
| 433 | #120 | — | 10 | 2 | no | — |
| 434 | #120 | — | 10 | 2 | no | — |
| 435 | #120 | — | 10 | 2 | no | — |
| 436 | #120 | — | 10 | 2 | no | — |
| 437 | #120 | C4×D5 | 1 | 1 | yes | characteristic, complemented |
| 438 | #120 | C22×D5 | 1 | 1 | yes | characteristic |
| 439 | C4×D4 | — | 2 | 1 | no | — |
| 440 | C4×D4 | — | 2 | 1 | no | — |
| 441 | C4×D4 | — | 10 | 1 | no | — |
| 442 | C4×D4 | — | 10 | 1 | no | — |
| 443 | C4×D4 | — | 10 | 2 | no | — |
| 444 | C4×D4 | — | 10 | 2 | no | — |
| 445 | C4×D4 | — | 20 | 2 | no | — |
| 446 | C4×D4 | — | 20 | 2 | no | — |
| 447 | #117 | — | 2 | 1 | no | — |
| 448 | #117 | — | 5 | 1 | no | — |
| 449 | #117 | — | 10 | 1 | no | — |
| 450 | #117 | C4×D5 | 1 | 1 | yes | characteristic, complemented |
| 451 | C2×C22⋊C4 | — | 5 | 2 | no | — |
| 452 | C2×C22⋊C4 | — | 5 | 2 | no | — |
| 453 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 454 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 455 | C2×C22⋊C4 | — | 10 | 4 | no | — |
| 456 | #101 | — | 2 | 1 | no | — |
| 457 | #101 | — | 10 | 1 | no | — |
| 458 | #100 | — | 5 | 2 | no | — |
| 459 | #100 | — | 10 | 4 | no | — |
| 460 | #100 | C22×D5 | 1 | 2 | yes | — |
| 461 | #99 | — | 2 | 1 | no | — |
| 462 | #99 | — | 5 | 2 | no | — |
| 463 | #99 | — | 10 | 4 | no | — |
| 464 | #99 | — | 10 | 1 | no | — |
| 465 | #99 | C22×D5 | 1 | 2 | yes | — |
| 466 | C22×C5 | — | 2 | 2 | no | — |
| 467 | C22×C5 | — | 2 | 1 | no | — |
| 468 | C22×C5 | — | 2 | 1 | no | — |
| 469 | C22×C5 | — | 2 | 1 | no | — |
| 470 | C22×C5 | — | 4 | 1 | no | — |
| 471 | C22×C5 | — | 4 | 1 | no | — |
| 472 | C22×C5 | — | 4 | 1 | no | — |
| 473 | C22×C5 | — | 4 | 1 | no | — |
| 474 | C22×C5 | — | 4 | 2 | no | — |
| 475 | C22×C5 | — | 4 | 2 | no | — |
| 476 | C22×C5 | — | 4 | 1 | no | — |
| 477 | C22×C5 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 478 | C2×D5 | — | 2 | 2 | no | — |
| 479 | C2×D5 | — | 2 | 2 | no | — |
| 480 | C2×D5 | — | 4 | 2 | no | — |
| 481 | C2×D5 | — | 4 | 2 | no | — |
| 482 | C2×D5 | — | 4 | 2 | no | — |
| 483 | C2×D5 | — | 4 | 2 | no | — |
| 484 | C2×D5 | — | 4 | 2 | no | — |
| 485 | C2×D5 | — | 4 | 2 | no | — |
| 486 | C2×D5 | — | 8 | 4 | no | — |
| 487 | C2×D5 | — | 8 | 4 | no | — |
| 488 | C2×D5 | — | 8 | 8 | no | — |
| 489 | C2×D5 | — | 8 | 8 | no | — |
| 490 | C2×D5 | — | 8 | 4 | no | — |
| 491 | C2×D5 | — | 16 | 2 | no | — |
| 492 | C2×D5 | C2×#99 | 1 | 4 | yes | — |
| 493 | C4×C5 | — | 2 | 1 | no | — |
| 494 | C4×C5 | — | 2 | 1 | no | — |
| 495 | C4×C5 | — | 2 | 1 | no | — |
| 496 | C4×C5 | — | 4 | 1 | no | — |
| 497 | C4×C5 | — | 4 | 1 | no | — |
| 498 | C4×C5 | — | 4 | 1 | no | — |
| 499 | C4×C5 | — | 8 | 2 | no | — |
| 500 | C4×C5 | C2×#99 | 1 | 1 | yes | characteristic |
| 501 | C4×C5 | C2×#99 | 1 | 1 | yes | characteristic |
| 502 | Dic5 | — | 2 | 2 | no | — |
| 503 | Dic5 | — | 4 | 2 | no | — |
| 504 | Dic5 | — | 8 | 2 | no | — |
| 505 | C24 | — | 5 | 2 | no | — |
| 506 | C24 | — | 5 | 2 | no | — |
| 507 | C24 | — | 5 | 2 | no | — |
| 508 | C24 | — | 5 | 2 | no | — |
| 509 | C24 | — | 10 | 2 | no | — |
| 510 | C24 | — | 10 | 2 | no | — |
| 511 | C24 | — | 20 | 4 | no | — |
| 512 | C24 | — | 40 | 4 | no | — |
| 513 | C24 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 514 | #41 | — | 4 | 1 | no | — |
| 515 | #41 | — | 4 | 1 | no | — |
| 516 | #41 | — | 10 | 2 | no | — |
| 517 | #41 | — | 10 | 2 | no | — |
| 518 | #41 | — | 20 | 1 | no | — |
| 519 | #41 | — | 20 | 1 | no | — |
| 520 | #41 | — | 20 | 1 | no | — |
| 521 | #41 | — | 20 | 1 | no | — |
| 522 | #41 | — | 20 | 4 | no | — |
| 523 | C2×Q8 | — | 5 | 1 | no | — |
| 524 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 525 | C2×D4 | — | 2 | 1 | no | — |
| 526 | C2×D4 | — | 2 | 1 | no | — |
| 527 | C2×D4 | — | 5 | 2 | no | — |
| 528 | C2×D4 | — | 5 | 2 | no | — |
| 529 | C2×D4 | — | 5 | 2 | no | — |
| 530 | C2×D4 | — | 5 | 2 | no | — |
| 531 | C2×D4 | — | 5 | 2 | no | — |
| 532 | C2×D4 | — | 5 | 2 | no | — |
| 533 | C2×D4 | — | 5 | 1 | no | — |
| 534 | C2×D4 | — | 5 | 1 | no | — |
| 535 | C2×D4 | — | 5 | 1 | no | — |
| 536 | C2×D4 | — | 10 | 2 | no | — |
| 537 | C2×D4 | — | 10 | 2 | no | — |
| 538 | C2×D4 | — | 10 | 2 | no | — |
| 539 | C2×D4 | — | 10 | 2 | no | — |
| 540 | C2×D4 | — | 10 | 2 | no | — |
| 541 | C2×D4 | — | 10 | 2 | no | — |
| 542 | C2×D4 | — | 10 | 2 | no | — |
| 543 | C2×D4 | — | 10 | 2 | no | — |
| 544 | C2×D4 | — | 10 | 2 | no | — |
| 545 | C2×D4 | — | 10 | 2 | no | — |
| 546 | C2×D4 | — | 10 | 2 | no | — |
| 547 | C2×D4 | — | 10 | 1 | no | — |
| 548 | C2×D4 | — | 10 | 1 | no | — |
| 549 | C2×D4 | — | 20 | 1 | no | — |
| 550 | C2×D4 | — | 20 | 1 | no | — |
| 551 | C2×D4 | — | 20 | 1 | no | — |
| 552 | C2×D4 | — | 20 | 1 | no | — |
| 553 | C2×D4 | — | 20 | 2 | no | — |
| 554 | C2×D4 | — | 20 | 2 | no | — |
| 555 | C2×D4 | — | 20 | 8 | no | — |
| 556 | C2×D4 | — | 20 | 2 | no | — |
| 557 | C2×D4 | — | 20 | 2 | no | — |
| 558 | C2×D4 | — | 20 | 4 | no | — |
| 559 | C2×D4 | — | 20 | 4 | no | — |
| 560 | C2×D4 | — | 20 | 4 | no | — |
| 561 | C2×D4 | — | 20 | 4 | no | — |
| 562 | C2×D4 | — | 40 | 4 | no | — |
| 563 | C2×D4 | — | 40 | 4 | no | — |
| 564 | C2×D4 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 565 | C2×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 566 | C2×D4 | C23×D5 | 1 | 1 | yes | characteristic |
| 567 | C22×C4 | — | 2 | 1 | no | — |
| 568 | C22×C4 | — | 2 | 1 | no | — |
| 569 | C22×C4 | — | 4 | 1 | no | — |
| 570 | C22×C4 | — | 4 | 1 | no | — |
| 571 | C22×C4 | — | 5 | 2 | no | — |
| 572 | C22×C4 | — | 5 | 2 | no | — |
| 573 | C22×C4 | — | 5 | 2 | no | — |
| 574 | C22×C4 | — | 10 | 2 | no | — |
| 575 | C22×C4 | — | 10 | 2 | no | — |
| 576 | C22×C4 | — | 20 | 4 | no | — |
| 577 | C22×C4 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 578 | C22×C4 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 579 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 580 | C22×C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 581 | M16 | — | 2 | 2 | no | — |
| 582 | M16 | — | 4 | 1 | no | — |
| 583 | M16 | — | 10 | 2 | no | — |
| 584 | M16 | — | 20 | 4 | no | — |
| 585 | M16 | — | 20 | 1 | no | — |
| 586 | C2×C8 | — | 4 | 1 | no | — |
| 587 | C2×C8 | — | 20 | 4 | no | — |
| 588 | C2×C8 | — | 20 | 1 | no | — |
| 589 | C4⋊C4 | — | 2 | 1 | no | — |
| 590 | C4⋊C4 | — | 2 | 1 | no | — |
| 591 | C4⋊C4 | — | 2 | 1 | no | — |
| 592 | C4⋊C4 | — | 4 | 1 | no | — |
| 593 | C4⋊C4 | — | 10 | 2 | no | — |
| 594 | C4⋊C4 | — | 10 | 1 | no | — |
| 595 | C4⋊C4 | — | 20 | 1 | no | — |
| 596 | C22⋊C4 | — | 2 | 1 | no | — |
| 597 | C22⋊C4 | — | 2 | 1 | no | — |
| 598 | C22⋊C4 | — | 2 | 1 | no | — |
| 599 | C22⋊C4 | — | 2 | 1 | no | — |
| 600 | C22⋊C4 | — | 2 | 2 | no | — |
| 601 | C22⋊C4 | — | 5 | 2 | no | — |
| 602 | C22⋊C4 | — | 10 | 2 | no | — |
| 603 | C22⋊C4 | — | 10 | 2 | no | — |
| 604 | C22⋊C4 | — | 10 | 2 | no | — |
| 605 | C22⋊C4 | — | 10 | 2 | no | — |
| 606 | C22⋊C4 | — | 10 | 2 | no | — |
| 607 | C22⋊C4 | — | 10 | 2 | no | — |
| 608 | C22⋊C4 | — | 10 | 2 | no | — |
| 609 | C22⋊C4 | — | 10 | 2 | no | — |
| 610 | C22⋊C4 | — | 10 | 2 | no | — |
| 611 | C22⋊C4 | — | 20 | 4 | no | — |
| 612 | C22⋊C4 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 613 | C22⋊C4 | C2×C4×D5 | 1 | 1 | yes | characteristic |
| 614 | C42 | — | 2 | 1 | no | — |
| 615 | C42 | — | 4 | 1 | no | — |
| 616 | C42 | — | 10 | 1 | no | — |
| 617 | C42 | — | 20 | 1 | no | — |
| 618 | C2×C5 | — | 2 | 1 | no | — |
| 619 | C2×C5 | — | 4 | 1 | no | — |
| 620 | C2×C5 | — | 4 | 1 | no | — |
| 621 | C2×C5 | — | 4 | 2 | no | — |
| 622 | C2×C5 | — | 4 | 1 | no | — |
| 623 | C2×C5 | C22×#99 | 1 | 1 | yes | characteristic |
| 624 | D5 | — | 2 | 4 | no | — |
| 625 | D5 | — | 4 | 2 | no | — |
| 626 | D5 | — | 4 | 2 | no | — |
| 627 | D5 | — | 8 | 2 | no | — |
| 628 | C23 | — | 2 | 1 | no | — |
| 629 | C23 | — | 4 | 1 | no | — |
| 630 | C23 | — | 4 | 2 | no | — |
| 631 | C23 | — | 5 | 2 | no | — |
| 632 | C23 | — | 5 | 2 | no | — |
| 633 | C23 | — | 5 | 2 | no | — |
| 634 | C23 | — | 10 | 4 | no | — |
| 635 | C23 | — | 10 | 4 | no | — |
| 636 | C23 | — | 10 | 2 | no | — |
| 637 | C23 | — | 20 | 2 | no | — |
| 638 | C23 | — | 20 | 4 | no | — |
| 639 | C23 | — | 20 | 4 | no | — |
| 640 | C23 | — | 20 | 2 | no | — |
| 641 | C23 | — | 20 | 4 | no | — |
| 642 | C23 | — | 20 | 4 | no | — |
| 643 | C23 | — | 40 | 2 | no | — |
| 644 | C23 | — | 40 | 2 | no | — |
| 645 | C23 | — | 40 | 2 | no | — |
| 646 | C23 | — | 40 | 2 | no | — |
| 647 | C23 | — | 40 | 2 | no | — |
| 648 | C23 | — | 40 | 2 | no | — |
| 649 | C23 | — | 40 | 8 | no | — |
| 650 | C23 | — | 40 | 8 | no | — |
| 651 | C23 | D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 652 | C23 | C22×C4×D5 | 1 | 1 | yes | characteristic |
| 653 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 654 | Q8 | — | 4 | 1 | no | — |
| 655 | Q8 | — | 10 | 1 | no | — |
| 656 | Q8 | — | 10 | 1 | no | — |
| 657 | D4 | — | 4 | 1 | no | — |
| 658 | D4 | — | 4 | 1 | no | — |
| 659 | D4 | — | 4 | 1 | no | — |
| 660 | D4 | — | 4 | 2 | no | — |
| 661 | D4 | — | 4 | 2 | no | — |
| 662 | D4 | — | 5 | 2 | no | — |
| 663 | D4 | — | 5 | 2 | no | — |
| 664 | D4 | — | 10 | 4 | no | — |
| 665 | D4 | — | 10 | 4 | no | — |
| 666 | D4 | — | 10 | 4 | no | — |
| 667 | D4 | — | 10 | 1 | no | — |
| 668 | D4 | — | 10 | 1 | no | — |
| 669 | D4 | — | 10 | 1 | no | — |
| 670 | D4 | — | 10 | 1 | no | — |
| 671 | D4 | — | 20 | 2 | no | — |
| 672 | D4 | — | 20 | 2 | no | — |
| 673 | D4 | — | 20 | 4 | no | — |
| 674 | D4 | — | 20 | 4 | no | — |
| 675 | D4 | — | 20 | 2 | no | — |
| 676 | D4 | — | 20 | 2 | no | — |
| 677 | D4 | — | 20 | 4 | no | — |
| 678 | D4 | — | 20 | 1 | no | — |
| 679 | D4 | — | 20 | 1 | no | — |
| 680 | D4 | — | 40 | 2 | no | — |
| 681 | D4 | — | 40 | 2 | no | — |
| 682 | D4 | — | 40 | 2 | no | — |
| 683 | D4 | — | 40 | 2 | no | — |
| 684 | C2×C4 | — | 2 | 1 | no | — |
| 685 | C2×C4 | — | 2 | 1 | no | — |
| 686 | C2×C4 | — | 2 | 1 | no | — |
| 687 | C2×C4 | — | 2 | 1 | no | — |
| 688 | C2×C4 | — | 2 | 1 | no | — |
| 689 | C2×C4 | — | 2 | 1 | no | — |
| 690 | C2×C4 | — | 2 | 1 | no | — |
| 691 | C2×C4 | — | 2 | 1 | no | — |
| 692 | C2×C4 | — | 2 | 1 | no | — |
| 693 | C2×C4 | — | 4 | 2 | no | — |
| 694 | C2×C4 | — | 4 | 1 | no | — |
| 695 | C2×C4 | — | 4 | 1 | no | — |
| 696 | C2×C4 | — | 4 | 1 | no | — |
| 697 | C2×C4 | — | 4 | 2 | no | — |
| 698 | C2×C4 | — | 5 | 2 | no | — |
| 699 | C2×C4 | — | 10 | 4 | no | — |
| 700 | C2×C4 | — | 10 | 2 | no | — |
| 701 | C2×C4 | — | 20 | 2 | no | — |
| 702 | C2×C4 | — | 20 | 2 | no | — |
| 703 | C2×C4 | — | 20 | 2 | no | — |
| 704 | C2×C4 | — | 40 | 2 | no | — |
| 705 | C2×C4 | — | 40 | 2 | no | — |
| 706 | C2×C4 | — | 80 | 4 | no | — |
| 707 | C2×C4 | D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 708 | C2×C4 | D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 709 | C2×C4 | D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 710 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 711 | C8 | — | 4 | 2 | no | — |
| 712 | C8 | — | 20 | 2 | no | — |
| 713 | C5 | #33348 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 714 | C22 | — | 2 | 2 | no | — |
| 715 | C22 | — | 2 | 1 | no | — |
| 716 | C22 | — | 2 | 1 | no | — |
| 717 | C22 | — | 2 | 1 | no | — |
| 718 | C22 | — | 4 | 1 | no | — |
| 719 | C22 | — | 4 | 1 | no | — |
| 720 | C22 | — | 4 | 1 | no | — |
| 721 | C22 | — | 4 | 1 | no | — |
| 722 | C22 | — | 4 | 2 | no | — |
| 723 | C22 | — | 4 | 2 | no | — |
| 724 | C22 | — | 4 | 1 | no | — |
| 725 | C22 | — | 5 | 4 | no | — |
| 726 | C22 | — | 10 | 2 | no | — |
| 727 | C22 | — | 10 | 2 | no | — |
| 728 | C22 | — | 20 | 2 | no | — |
| 729 | C22 | — | 20 | 2 | no | — |
| 730 | C22 | — | 20 | 2 | no | — |
| 731 | C22 | — | 20 | 2 | no | — |
| 732 | C22 | — | 20 | 2 | no | — |
| 733 | C22 | — | 20 | 2 | no | — |
| 734 | C22 | — | 40 | 4 | no | — |
| 735 | C22 | — | 40 | 4 | no | — |
| 736 | C22 | — | 40 | 8 | no | — |
| 737 | C22 | — | 40 | 8 | no | — |
| 738 | C22 | — | 40 | 4 | no | — |
| 739 | C22 | — | 80 | 2 | no | — |
| 740 | C22 | C2×D5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 741 | C4 | — | 2 | 1 | no | — |
| 742 | C4 | — | 2 | 1 | no | — |
| 743 | C4 | — | 2 | 1 | no | — |
| 744 | C4 | — | 4 | 1 | no | — |
| 745 | C4 | — | 4 | 1 | no | — |
| 746 | C4 | — | 4 | 1 | no | — |
| 747 | C4 | — | 8 | 2 | no | — |
| 748 | C4 | — | 10 | 2 | no | — |
| 749 | C4 | — | 20 | 2 | no | — |
| 750 | C4 | — | 40 | 2 | no | — |
| 751 | C4 | D5×#99 | 1 | 1 | yes | characteristic |
| 752 | C4 | D5×#99 | 1 | 1 | yes | characteristic |
| 753 | C2 | — | 2 | 1 | no | — |
| 754 | C2 | — | 4 | 1 | no | — |
| 755 | C2 | — | 4 | 2 | no | — |
| 756 | C2 | — | 4 | 1 | no | — |
| 757 | C2 | — | 4 | 1 | no | — |
| 758 | C2 | — | 10 | 4 | no | — |
| 759 | C2 | — | 20 | 2 | no | — |
| 760 | C2 | — | 20 | 2 | no | — |
| 761 | C2 | — | 40 | 2 | no | — |
| 762 | C2 | C2×D5×#99 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10610445 | C2 | semidirect |
| 3. #10610425 | C2 | semidirect |
| 4. C5×#2120 | C2 | semidirect |
| 5. #10602509 | C2 | semidirect |
| 6. #10600939 | C2 | semidirect |
| 7. #10600850 | C2 | semidirect |
| 8. #10599936 | C2 | semidirect |
| 9. D5×AΣL(1,𝔽16) | C2 | semidirect |
| 11. C23×D20 | C4 | semidirect |
| 14. #66125 | C4 | semidirect |
| 16. #65987 | C4 | semidirect |
| 20. D5×#120 | C4 | semidirect |
| 26. #65859 | C4 | semidirect |
| 28. #65855 | C4 | semidirect |
| 29. C5×#413 | C22 | semidirect |
| 30. C5×#410 | C22 | semidirect |
| 31. #65529 | C22 | semidirect |
| 32. #65526 | C22 | semidirect |
| 36. D5×#100 | C22 | semidirect |
| 38. D5×#99 | C22 | semidirect |
| 39. C5×#352 | C22 | semidirect |
| 40. C5×AΣL(1,𝔽16) | C22 | semidirect |
| 41. #64759 | C22 | semidirect |
| 42. #64756 | C22 | semidirect |
| 43. #64695 | C22 | semidirect |
| 44. #64691 | C22 | semidirect |
| 46. C24×D5 | C2×C4 | semidirect |
| 48. C23×C4×C5 | C2×C4 | semidirect |
| 66. C22×D20 | C2×C4 | semidirect |
| 67. C22×D20 | C2×C4 | semidirect |
| 71. C5×#123 | C2×C4 | semidirect |
| 75. C5×#120 | C2×C4 | semidirect |
| 80. C5×#117 | C2×C4 | semidirect |
| 81. #4099 | C2×C4 | semidirect |
| 86. #4083 | C2×C4 | semidirect |
| 91. #4075 | C2×C4 | semidirect |
| 94. #4072 | C2×C4 | semidirect |
| 113. #4028 | C2×C4 | semidirect |
| 114. #4028 | C2×C4 | semidirect |
| 118. D5×C22⋊C4 | C2×C4 | semidirect |
| 119. D5×C22⋊C4 | C2×C4 | semidirect |
| 142. #2120 | D5 | semidirect |
| 278. #413 | C2×D5 | semidirect |
| 283. #410 | C2×D5 | semidirect |
| 287. #352 | C2×D5 | semidirect |
| 291. AΣL(1,𝔽16) | C2×D5 | semidirect |
| 400. C23×C4 | C4×D5 | semidirect |
| 413. #123 | C4×D5 | semidirect |
| 437. #120 | C4×D5 | semidirect |
| 450. #117 | C4×D5 | semidirect |
| 713. C5 | #33348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617940 | 2 |
| #10610445 | 2 |
| #10610425 | 2 |
| C5×#2120 | 2 |
| #10602509 | 2 |
| #10600939 | 2 |
| #10600850 | 2 |
| #10599936 | 2 |
| D5×AΣL(1,𝔽16) | 2 |
| #33348 | 5 |