Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
2650 conjugacy classes of subgroups.
The subgroup lattice has 726 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#66113 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #10618115 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10617728 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#3039 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10615714 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C2×#65381 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C4×#4096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10612232 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10612221 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #10612180 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #10612178 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #10610788 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10610772 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10610695 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #10610692 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | C2×#4150 | C22 | 1 | 2 | yes | — |
| 17 | C2×#4147 | C22 | 1 | 2 | yes | — |
| 18 | C2×C5×#137 | C22 | 1 | 2 | yes | — |
| 19 | C2×C5×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 20 | C4×C5×#41 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#4096 | C22 | 1 | 1 | yes | characteristic |
| 22 | #66150 | C22 | 1 | 2 | yes | — |
| 23 | C22×#689 | C22 | 1 | 2 | yes | — |
| 24 | C22×#689 | C22 | 1 | 2 | yes | — |
| 25 | #66113 | — | 2 | 16 | no | — |
| 26 | C2×#4064 | C22 | 1 | 4 | yes | — |
| 27 | C2×D5×Q16 | C22 | 1 | 4 | yes | — |
| 28 | C2×#4062 | C22 | 1 | 4 | yes | — |
| 29 | C2×#4061 | C22 | 1 | 4 | yes | — |
| 30 | C2×#4055 | C22 | 1 | 2 | yes | — |
| 31 | C2×#4053 | C22 | 1 | 2 | yes | — |
| 32 | #66061 | C22 | 1 | 4 | yes | — |
| 33 | #66060 | C22 | 1 | 4 | yes | — |
| 34 | #66059 | — | 2 | 1 | no | — |
| 35 | #66058 | — | 2 | 2 | no | — |
| 36 | D5×C4⋊Q8 | — | 2 | 1 | no | — |
| 37 | Q8×D20 | C22 | 1 | 4 | yes | — |
| 38 | #65889 | — | 2 | 4 | no | — |
| 39 | #65889 | C22 | 1 | 4 | yes | — |
| 40 | #65860 | — | 2 | 2 | no | — |
| 41 | #65860 | C22 | 1 | 2 | yes | — |
| 42 | #65841 | — | 2 | 4 | no | — |
| 43 | #65811 | — | 2 | 1 | no | — |
| 44 | #65811 | C22 | 1 | 1 | yes | characteristic |
| 45 | C4×#709 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×#4015 | — | 2 | 1 | no | — |
| 47 | C2×#4015 | C22 | 1 | 1 | yes | characteristic |
| 48 | C5×#462 | C22 | 1 | 4 | yes | — |
| 49 | C5×#461 | C22 | 1 | 4 | yes | — |
| 50 | C5×#423 | C22 | 1 | 1 | yes | characteristic |
| 51 | C5×#419 | C22 | 1 | 2 | yes | — |
| 52 | #65522 | C22 | 1 | 1 | yes | characteristic |
| 53 | #65475 | C22 | 1 | 8 | yes | — |
| 54 | #65462 | C22 | 1 | 8 | yes | — |
| 55 | #65418 | C22 | 1 | 2 | yes | — |
| 56 | #65409 | C22 | 1 | 2 | yes | — |
| 57 | #65381 | C22 | 1 | 4 | yes | — |
| 58 | #65381 | C22 | 1 | 4 | yes | — |
| 59 | C4×#689 | C22 | 1 | 2 | yes | — |
| 60 | C4×#688 | C22 | 1 | 2 | yes | — |
| 61 | C4×#687 | C22 | 1 | 2 | yes | — |
| 62 | C4×#686 | C22 | 1 | 2 | yes | — |
| 63 | #65291 | C22 | 1 | 1 | yes | characteristic |
| 64 | #65287 | C22 | 1 | 1 | yes | characteristic |
| 65 | C2×C4×#168 | C22 | 1 | 1 | yes | characteristic |
| 66 | #65138 | C22 | 1 | 4 | yes | — |
| 67 | #65130 | C22 | 1 | 4 | yes | — |
| 68 | #65127 | C22 | 1 | 4 | yes | — |
| 69 | #65123 | C22 | 1 | 4 | yes | — |
| 70 | #65105 | C22 | 1 | 8 | yes | — |
| 71 | #65102 | C22 | 1 | 8 | yes | — |
| 72 | #65099 | C22 | 1 | 8 | yes | — |
| 73 | #65097 | C22 | 1 | 8 | yes | — |
| 74 | #61091 | — | 5 | 1 | no | maximal, Sylow |
| 75 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 76 | C22×C5×Q8 | C23 | 1 | 2 | yes | — |
| 77 | #4150 | — | 2 | 8 | no | — |
| 78 | #4150 | — | 4 | 4 | no | — |
| 79 | #4147 | — | 2 | 8 | no | — |
| 80 | #4147 | — | 4 | 4 | no | — |
| 81 | C2×#713 | — | 2 | 2 | no | — |
| 82 | C2×#713 | C23 | 1 | 4 | yes | — |
| 83 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 84 | C2×Q8×D5 | C23 | 1 | 4 | yes | — |
| 85 | C2×Q8×D5 | C23 | 1 | 4 | yes | — |
| 86 | C2×#711 | — | 2 | 4 | no | — |
| 87 | C2×#711 | C23 | 1 | 4 | yes | — |
| 88 | C2×#709 | — | 2 | 4 | no | — |
| 89 | C2×#709 | — | 2 | 2 | no | — |
| 90 | C2×#709 | C23 | 1 | 2 | yes | — |
| 91 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 92 | C22×Dic10 | — | 2 | 2 | no | — |
| 93 | C22×Dic10 | C23 | 1 | 2 | yes | — |
| 94 | C5×#137 | — | 2 | 8 | no | — |
| 95 | C2×C5×Q16 | C23 | 1 | 4 | yes | — |
| 96 | C2×C5×SD16 | C23 | 1 | 4 | yes | — |
| 97 | C2×C5×M16 | C23 | 1 | 2 | yes | — |
| 98 | C5×C4⋊Q8 | — | 2 | 1 | no | — |
| 99 | C5×C4⋊Q8 | — | 2 | 1 | no | — |
| 100 | C5×C4⋊Q8 | C23 | 1 | 4 | yes | — |
| 101 | C4×C5×Q8 | C23 | 1 | 2 | yes | — |
| 102 | C4×C5×D4 | — | 2 | 2 | no | — |
| 103 | C4×C5×D4 | C23 | 1 | 2 | yes | — |
| 104 | C5×#117 | — | 2 | 1 | no | — |
| 105 | C5×#117 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C5×C4⋊C4 | — | 2 | 2 | no | — |
| 107 | C2×C42×C5 | — | 2 | 1 | no | — |
| 108 | C2×C42×C5 | C23 | 1 | 1 | yes | characteristic |
| 109 | #4096 | D4 | 1 | 8 | yes | complemented |
| 110 | #4093 | — | 2 | 2 | no | — |
| 111 | #4092 | C23 | 1 | 8 | yes | — |
| 112 | #4090 | — | 2 | 2 | no | — |
| 113 | C2×#689 | — | 2 | 8 | no | — |
| 114 | C2×#689 | — | 4 | 4 | no | — |
| 115 | C2×#689 | C23 | 1 | 4 | yes | — |
| 116 | C2×#689 | C23 | 1 | 4 | yes | — |
| 117 | C2×#689 | C23 | 1 | 8 | yes | — |
| 118 | C2×#689 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×#688 | C23 | 1 | 1 | yes | characteristic |
| 120 | C2×#687 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×#686 | C23 | 1 | 1 | yes | characteristic |
| 122 | #4076 | — | 2 | 4 | no | — |
| 123 | #4076 | D4 | 1 | 4 | yes | — |
| 124 | #4075 | — | 2 | 4 | no | — |
| 125 | C4×C22⋊D5 | — | 2 | 2 | no | — |
| 126 | #4072 | C23 | 1 | 1 | yes | characteristic |
| 127 | C2×C4⋊Dic5 | — | 2 | 2 | no | — |
| 128 | C2×C4⋊Dic5 | — | 2 | 4 | no | — |
| 129 | C22×#168 | C23 | 1 | 1 | yes | characteristic |
| 130 | C22×#168 | C23 | 1 | 1 | yes | characteristic |
| 131 | #4064 | — | 2 | 16 | no | — |
| 132 | D5×Q16 | — | 2 | 16 | no | — |
| 133 | #4062 | — | 2 | 16 | no | — |
| 134 | #4061 | — | 2 | 16 | no | — |
| 135 | #4055 | — | 2 | 8 | no | — |
| 136 | #4053 | — | 2 | 8 | no | — |
| 137 | C2×Dic20 | C23 | 1 | 4 | yes | — |
| 138 | C2×#677 | C23 | 1 | 4 | yes | — |
| 139 | C2×#676 | C23 | 1 | 4 | yes | — |
| 140 | C2×C8×D5 | C23 | 1 | 4 | yes | — |
| 141 | #4043 | — | 2 | 8 | no | — |
| 142 | #4043 | C23 | 1 | 8 | yes | — |
| 143 | #4042 | — | 2 | 8 | no | — |
| 144 | #4041 | — | 2 | 4 | no | — |
| 145 | #4040 | — | 2 | 8 | no | — |
| 146 | #4039 | — | 2 | 4 | no | — |
| 147 | D5×C4⋊C4 | — | 2 | 4 | no | — |
| 148 | #4034 | — | 2 | 4 | no | — |
| 149 | #4032 | — | 2 | 4 | no | — |
| 150 | #4032 | — | 2 | 8 | no | — |
| 151 | #4021 | — | 2 | 2 | no | — |
| 152 | #4021 | D4 | 1 | 2 | yes | — |
| 153 | #4020 | D4 | 1 | 1 | yes | characteristic |
| 154 | C4×D20 | — | 2 | 4 | no | — |
| 155 | C4×D20 | C23 | 1 | 4 | yes | — |
| 156 | C4×D20 | C23 | 1 | 2 | yes | — |
| 157 | #4018 | — | 2 | 1 | no | — |
| 158 | C42×D5 | — | 2 | 1 | no | — |
| 159 | #4015 | — | 2 | 2 | no | — |
| 160 | #4015 | — | 2 | 1 | no | — |
| 161 | #4015 | — | 2 | 1 | no | — |
| 162 | #4015 | — | 2 | 4 | no | — |
| 163 | #4015 | D4 | 1 | 1 | yes | characteristic |
| 164 | #4015 | C23 | 1 | 4 | yes | — |
| 165 | C4×Dic10 | C23 | 1 | 2 | yes | — |
| 166 | C5×C4⋊C8 | C23 | 1 | 4 | yes | — |
| 167 | C5×#103 | C23 | 1 | 8 | yes | — |
| 168 | #3967 | C23 | 1 | 2 | yes | — |
| 169 | #3964 | C23 | 1 | 2 | yes | — |
| 170 | #3952 | C23 | 1 | 8 | yes | — |
| 171 | #3948 | C23 | 1 | 8 | yes | — |
| 172 | #3942 | C23 | 1 | 2 | yes | — |
| 173 | #3941 | C23 | 1 | 2 | yes | — |
| 174 | #3940 | C23 | 1 | 2 | yes | — |
| 175 | #3939 | C23 | 1 | 2 | yes | — |
| 176 | C4×#168 | C23 | 1 | 2 | yes | — |
| 177 | C4×#168 | C23 | 1 | 2 | yes | — |
| 178 | C2×#578 | — | 5 | 2 | no | — |
| 179 | #3499 | — | 5 | 1 | no | — |
| 180 | #3499 | — | 5 | 1 | no | — |
| 181 | D4×Q16 | — | 5 | 4 | no | — |
| 182 | #3283 | — | 5 | 4 | no | — |
| 183 | #3276 | — | 5 | 4 | no | — |
| 184 | #3276 | — | 5 | 4 | no | — |
| 185 | C2×#494 | — | 5 | 1 | no | — |
| 186 | #3059 | — | 5 | 2 | no | — |
| 187 | #3039 | — | 5 | 1 | no | — |
| 188 | #3039 | D5 | 1 | 1 | yes | characteristic, complemented |
| 189 | #3011 | — | 5 | 2 | no | — |
| 190 | #3011 | — | 5 | 2 | no | — |
| 191 | C4×#135 | — | 5 | 1 | no | — |
| 192 | #2931 | — | 5 | 1 | no | — |
| 193 | C5×#41 | — | 2 | 2 | no | — |
| 194 | C5×#41 | C2×D4 | 1 | 4 | yes | — |
| 195 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 196 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 197 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 198 | C2×C5×Q8 | C24 | 1 | 4 | yes | — |
| 199 | C2×C5×Q8 | C24 | 1 | 1 | yes | characteristic |
| 200 | C2×C5×D4 | — | 2 | 1 | no | — |
| 201 | C2×C5×D4 | C24 | 1 | 1 | yes | characteristic |
| 202 | C22×C4×C5 | — | 2 | 1 | no | — |
| 203 | C22×C4×C5 | — | 2 | 2 | no | — |
| 204 | C22×C4×C5 | — | 2 | 2 | no | — |
| 205 | C22×C4×C5 | C2×D4 | 1 | 2 | yes | — |
| 206 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 207 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 208 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 209 | C2×C22⋊D5 | C2×D4 | 1 | 4 | yes | — |
| 210 | C22×Dic5 | — | 2 | 2 | no | — |
| 211 | C22×Dic5 | — | 2 | 4 | no | — |
| 212 | #713 | — | 2 | 8 | no | — |
| 213 | #713 | — | 4 | 4 | no | — |
| 214 | #713 | — | 4 | 8 | no | — |
| 215 | Q8×D5 | — | 2 | 8 | no | — |
| 216 | Q8×D5 | — | 2 | 8 | no | — |
| 217 | Q8×D5 | — | 4 | 4 | no | — |
| 218 | Q8×D5 | — | 4 | 4 | no | — |
| 219 | Q8×D5 | — | 4 | 8 | no | — |
| 220 | #711 | — | 2 | 8 | no | — |
| 221 | #711 | — | 4 | 4 | no | — |
| 222 | #711 | — | 4 | 16 | no | — |
| 223 | #709 | — | 2 | 4 | no | — |
| 224 | #709 | — | 2 | 2 | no | — |
| 225 | #709 | — | 2 | 4 | no | — |
| 226 | #709 | — | 4 | 8 | no | — |
| 227 | #709 | — | 4 | 16 | no | — |
| 228 | #709 | C2×D4 | 1 | 4 | yes | — |
| 229 | C2×D20 | — | 2 | 4 | no | — |
| 230 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 231 | C2×D20 | C2×D4 | 1 | 4 | yes | — |
| 232 | C2×D20 | C24 | 1 | 1 | yes | characteristic |
| 233 | C2×C4×D5 | — | 2 | 1 | no | — |
| 234 | C2×C4×D5 | — | 2 | 4 | no | — |
| 235 | C2×C4×D5 | — | 2 | 4 | no | — |
| 236 | C2×C4×D5 | — | 2 | 2 | no | — |
| 237 | C2×C4×D5 | — | 2 | 4 | no | — |
| 238 | C2×C4×D5 | C24 | 1 | 4 | yes | — |
| 239 | C2×Dic10 | — | 2 | 4 | no | — |
| 240 | C2×Dic10 | — | 2 | 4 | no | — |
| 241 | C2×Dic10 | — | 2 | 2 | no | — |
| 242 | C2×Dic10 | — | 2 | 4 | no | — |
| 243 | C2×Dic10 | — | 2 | 4 | no | — |
| 244 | C2×Dic10 | — | 4 | 8 | no | — |
| 245 | C2×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 246 | C2×Dic10 | C24 | 1 | 4 | yes | — |
| 247 | C2×Dic10 | C24 | 1 | 1 | yes | characteristic |
| 248 | C5×Q16 | — | 2 | 8 | no | — |
| 249 | C5×SD16 | — | 2 | 8 | no | — |
| 250 | C5×M16 | — | 2 | 4 | no | — |
| 251 | C2×C5×C8 | C24 | 1 | 4 | yes | — |
| 252 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 253 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 254 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 255 | C5×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 256 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 257 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 258 | C42×C5 | — | 2 | 1 | no | — |
| 259 | C42×C5 | — | 2 | 2 | no | — |
| 260 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 261 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C42×C5 | C24 | 1 | 2 | yes | — |
| 263 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 264 | #689 | — | 2 | 8 | no | — |
| 265 | #689 | — | 2 | 8 | no | — |
| 266 | #689 | — | 4 | 8 | no | — |
| 267 | #689 | C2×D4 | 1 | 4 | yes | — |
| 268 | #688 | C2×D4 | 1 | 4 | yes | — |
| 269 | #687 | C2×D4 | 1 | 4 | yes | — |
| 270 | #686 | C2×D4 | 1 | 4 | yes | — |
| 271 | #685 | — | 2 | 8 | no | — |
| 272 | #685 | — | 2 | 8 | no | — |
| 273 | #685 | — | 2 | 2 | no | — |
| 274 | #685 | C2×D4 | 1 | 8 | yes | — |
| 275 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 276 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 277 | C4⋊Dic5 | — | 2 | 8 | no | — |
| 278 | C4⋊Dic5 | C2×D4 | 1 | 4 | yes | — |
| 279 | C4⋊Dic5 | C24 | 1 | 2 | yes | — |
| 280 | #683 | — | 2 | 2 | no | — |
| 281 | #683 | — | 2 | 8 | no | — |
| 282 | C4×Dic5 | — | 2 | 2 | no | — |
| 283 | C4×Dic5 | — | 2 | 1 | no | — |
| 284 | C2×#168 | — | 2 | 2 | no | — |
| 285 | C2×#168 | C2×D4 | 1 | 4 | yes | — |
| 286 | C2×#168 | C24 | 1 | 2 | yes | — |
| 287 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 288 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 289 | Dic20 | — | 2 | 8 | no | — |
| 290 | #677 | — | 2 | 8 | no | — |
| 291 | #676 | — | 2 | 8 | no | — |
| 292 | C8×D5 | — | 2 | 8 | no | — |
| 293 | C2×2−1+4 | — | 5 | 2 | no | — |
| 294 | C2×2−1+4 | — | 5 | 2 | no | — |
| 295 | #578 | — | 10 | 16 | no | — |
| 296 | C2×#137 | — | 5 | 4 | no | — |
| 297 | C2×#137 | — | 5 | 4 | no | — |
| 298 | C2×#137 | — | 5 | 2 | no | — |
| 299 | C2×#137 | C2×D5 | 1 | 2 | yes | — |
| 300 | C2×#135 | — | 5 | 1 | no | — |
| 301 | C2×#135 | — | 5 | 4 | no | — |
| 302 | C22×Q16 | — | 5 | 2 | no | — |
| 303 | C22×Q16 | — | 5 | 2 | no | — |
| 304 | C22×Q16 | — | 5 | 4 | no | — |
| 305 | C2×#131 | — | 5 | 2 | no | — |
| 306 | D4×Q8 | — | 5 | 4 | no | — |
| 307 | D4×Q8 | — | 5 | 4 | no | — |
| 308 | #547 | — | 5 | 4 | no | — |
| 309 | #547 | — | 5 | 4 | no | — |
| 310 | #547 | — | 10 | 4 | no | — |
| 311 | #547 | — | 10 | 4 | no | — |
| 312 | #536 | — | 5 | 2 | no | — |
| 313 | #536 | — | 5 | 2 | no | — |
| 314 | #536 | — | 10 | 2 | no | — |
| 315 | #536 | — | 10 | 2 | no | — |
| 316 | #532 | — | 5 | 1 | no | — |
| 317 | #532 | — | 10 | 1 | no | — |
| 318 | #532 | — | 10 | 1 | no | — |
| 319 | C2×C4⋊Q8 | — | 5 | 1 | no | — |
| 320 | C2×C4⋊Q8 | — | 10 | 1 | no | — |
| 321 | C2×C4⋊Q8 | — | 10 | 1 | no | — |
| 322 | C2×C4⋊Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 323 | C4×#41 | — | 5 | 1 | no | — |
| 324 | C4×#41 | C2×D5 | 1 | 1 | yes | characteristic |
| 325 | #494 | — | 5 | 4 | no | — |
| 326 | #494 | — | 5 | 4 | no | — |
| 327 | #470 | — | 5 | 8 | no | — |
| 328 | #467 | — | 5 | 8 | no | — |
| 329 | #462 | — | 5 | 4 | no | — |
| 330 | #462 | C2×D5 | 1 | 4 | yes | — |
| 331 | #461 | — | 5 | 4 | no | — |
| 332 | #461 | C2×D5 | 1 | 4 | yes | — |
| 333 | #452 | — | 5 | 8 | no | — |
| 334 | #452 | — | 5 | 8 | no | — |
| 335 | #451 | — | 5 | 8 | no | — |
| 336 | #451 | — | 5 | 8 | no | — |
| 337 | C4×Q16 | — | 5 | 2 | no | — |
| 338 | C4×SD16 | — | 5 | 2 | no | — |
| 339 | C4×SD16 | — | 5 | 2 | no | — |
| 340 | C4×D8 | — | 5 | 2 | no | — |
| 341 | #436 | — | 5 | 4 | no | — |
| 342 | C8×D4 | — | 5 | 4 | no | — |
| 343 | #427 | — | 5 | 1 | no | — |
| 344 | #423 | C2×D5 | 1 | 1 | yes | characteristic |
| 345 | #419 | — | 5 | 2 | no | — |
| 346 | #419 | C2×D5 | 1 | 2 | yes | — |
| 347 | #416 | — | 5 | 1 | no | — |
| 348 | #416 | — | 5 | 1 | no | — |
| 349 | #408 | — | 5 | 2 | no | — |
| 350 | C2×C4×C8 | — | 5 | 1 | no | — |
| 351 | C23×C5 | — | 2 | 1 | no | — |
| 352 | C23×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 353 | C22×D5 | — | 2 | 1 | no | — |
| 354 | C22×D5 | C22×D4 | 1 | 4 | yes | — |
| 355 | C5×Q8 | — | 2 | 1 | no | — |
| 356 | C5×Q8 | — | 2 | 4 | no | — |
| 357 | C5×Q8 | — | 2 | 4 | no | — |
| 358 | C5×Q8 | — | 4 | 4 | no | — |
| 359 | C5×Q8 | C22×D4 | 1 | 2 | yes | — |
| 360 | C5×D4 | — | 2 | 4 | no | — |
| 361 | C5×D4 | — | 2 | 1 | no | — |
| 362 | C5×D4 | C22×D4 | 1 | 2 | yes | — |
| 363 | C2×C4×C5 | — | 2 | 1 | no | — |
| 364 | C2×C4×C5 | — | 2 | 4 | no | — |
| 365 | C2×C4×C5 | — | 2 | 4 | no | — |
| 366 | C2×C4×C5 | — | 2 | 4 | no | — |
| 367 | C2×C4×C5 | — | 2 | 2 | no | — |
| 368 | C2×C4×C5 | — | 4 | 4 | no | — |
| 369 | C2×C4×C5 | — | 4 | 4 | no | — |
| 370 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 371 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 372 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 373 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 374 | C2×C4×C5 | H(5,𝔽2) | 1 | 2 | yes | — |
| 375 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 376 | C22⋊D5 | — | 2 | 8 | no | — |
| 377 | C22⋊D5 | — | 2 | 4 | no | — |
| 378 | C22⋊D5 | — | 4 | 8 | no | — |
| 379 | C2×Dic5 | — | 2 | 1 | no | — |
| 380 | C2×Dic5 | — | 2 | 2 | no | — |
| 381 | C2×Dic5 | — | 2 | 4 | no | — |
| 382 | C2×Dic5 | — | 4 | 8 | no | — |
| 383 | C2×Dic5 | — | 4 | 4 | no | — |
| 384 | C2×Dic5 | C22×D4 | 1 | 4 | yes | — |
| 385 | D20 | — | 2 | 4 | no | — |
| 386 | D20 | — | 2 | 8 | no | — |
| 387 | D20 | — | 2 | 1 | no | — |
| 388 | D20 | — | 4 | 8 | no | — |
| 389 | D20 | C22×D4 | 1 | 2 | yes | — |
| 390 | C4×D5 | — | 2 | 4 | no | — |
| 391 | C4×D5 | — | 2 | 4 | no | — |
| 392 | C4×D5 | — | 2 | 4 | no | — |
| 393 | C4×D5 | — | 4 | 8 | no | — |
| 394 | C4×D5 | — | 4 | 8 | no | — |
| 395 | C4×D5 | — | 4 | 8 | no | — |
| 396 | C4×D5 | — | 4 | 4 | no | — |
| 397 | Dic10 | — | 2 | 4 | no | — |
| 398 | Dic10 | — | 2 | 1 | no | — |
| 399 | Dic10 | — | 2 | 4 | no | — |
| 400 | Dic10 | — | 2 | 4 | no | — |
| 401 | Dic10 | — | 4 | 8 | no | — |
| 402 | Dic10 | — | 4 | 8 | no | — |
| 403 | Dic10 | — | 4 | 4 | no | — |
| 404 | Dic10 | C22×D4 | 1 | 2 | yes | — |
| 405 | C5×C8 | — | 2 | 4 | no | — |
| 406 | #168 | — | 2 | 2 | no | — |
| 407 | #168 | C22×D4 | 1 | 2 | yes | — |
| 408 | #168 | C22×D4 | 1 | 2 | yes | — |
| 409 | 2−1+4 | — | 10 | 8 | no | — |
| 410 | 2−1+4 | — | 10 | 8 | no | — |
| 411 | 2−1+4 | — | 20 | 4 | no | — |
| 412 | 2−1+4 | — | 20 | 4 | no | — |
| 413 | C2×#41 | — | 5 | 2 | no | — |
| 414 | C2×#41 | — | 5 | 4 | no | — |
| 415 | C2×#41 | — | 5 | 4 | no | — |
| 416 | C2×#41 | — | 5 | 1 | no | — |
| 417 | C2×#41 | — | 10 | 2 | no | — |
| 418 | C2×#41 | — | 10 | 4 | no | — |
| 419 | C2×#41 | — | 10 | 4 | no | — |
| 420 | C2×#41 | — | 10 | 2 | no | — |
| 421 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 422 | C22×Q8 | — | 5 | 4 | no | — |
| 423 | C22×Q8 | — | 5 | 4 | no | — |
| 424 | C22×Q8 | — | 5 | 2 | no | — |
| 425 | C22×Q8 | — | 10 | 2 | no | — |
| 426 | C22×Q8 | — | 10 | 2 | no | — |
| 427 | C22×Q8 | C22×D5 | 1 | 2 | yes | — |
| 428 | #137 | — | 2 | 8 | no | — |
| 429 | #137 | — | 10 | 8 | no | — |
| 430 | #137 | — | 10 | 16 | no | — |
| 431 | #137 | — | 10 | 16 | no | — |
| 432 | #135 | — | 5 | 8 | no | — |
| 433 | #135 | — | 10 | 16 | no | — |
| 434 | C2×Q16 | — | 5 | 1 | no | — |
| 435 | C2×Q16 | — | 5 | 4 | no | — |
| 436 | C2×Q16 | — | 5 | 4 | no | — |
| 437 | C2×Q16 | — | 5 | 8 | no | — |
| 438 | C2×Q16 | — | 5 | 4 | no | — |
| 439 | C2×Q16 | — | 10 | 8 | no | — |
| 440 | C2×Q16 | — | 10 | 16 | no | — |
| 441 | C2×Q16 | — | 20 | 4 | no | — |
| 442 | C2×Q16 | C22×D5 | 1 | 4 | yes | — |
| 443 | C2×SD16 | — | 5 | 1 | no | — |
| 444 | C2×SD16 | — | 5 | 1 | no | — |
| 445 | C2×SD16 | — | 5 | 4 | no | — |
| 446 | C2×SD16 | C22×D5 | 1 | 4 | yes | — |
| 447 | C2×D8 | — | 5 | 1 | no | — |
| 448 | #131 | — | 10 | 8 | no | — |
| 449 | C2×M16 | — | 5 | 4 | no | — |
| 450 | C2×M16 | C22×D5 | 1 | 2 | yes | — |
| 451 | C22×C8 | — | 5 | 1 | no | — |
| 452 | C22×C8 | — | 5 | 1 | no | — |
| 453 | C22×C8 | — | 5 | 4 | no | — |
| 454 | C4⋊Q8 | — | 2 | 1 | no | — |
| 455 | C4⋊Q8 | — | 2 | 1 | no | — |
| 456 | C4⋊Q8 | — | 5 | 1 | no | — |
| 457 | C4⋊Q8 | — | 5 | 4 | no | — |
| 458 | C4⋊Q8 | — | 10 | 4 | no | — |
| 459 | C4⋊Q8 | — | 10 | 2 | no | — |
| 460 | C4⋊Q8 | — | 10 | 4 | no | — |
| 461 | C4⋊Q8 | — | 10 | 2 | no | — |
| 462 | C4⋊Q8 | — | 10 | 1 | no | — |
| 463 | C4⋊Q8 | — | 10 | 1 | no | — |
| 464 | C4⋊Q8 | C22×D5 | 1 | 4 | yes | — |
| 465 | #127 | — | 5 | 1 | no | — |
| 466 | #124 | — | 5 | 2 | no | — |
| 467 | #124 | — | 10 | 2 | no | — |
| 468 | #124 | — | 10 | 2 | no | — |
| 469 | #123 | — | 10 | 8 | no | — |
| 470 | #123 | — | 10 | 4 | no | — |
| 471 | #123 | — | 10 | 8 | no | — |
| 472 | #123 | — | 10 | 4 | no | — |
| 473 | C22⋊Q8 | — | 5 | 8 | no | — |
| 474 | C22⋊Q8 | — | 5 | 8 | no | — |
| 475 | C22⋊Q8 | — | 10 | 8 | no | — |
| 476 | C22⋊Q8 | — | 10 | 8 | no | — |
| 477 | #121 | — | 5 | 4 | no | — |
| 478 | #121 | — | 10 | 4 | no | — |
| 479 | #121 | — | 10 | 4 | no | — |
| 480 | C4×Q8 | — | 5 | 2 | no | — |
| 481 | C4×Q8 | C22×D5 | 1 | 2 | yes | — |
| 482 | C4×D4 | — | 2 | 2 | no | — |
| 483 | C4×D4 | — | 5 | 4 | no | — |
| 484 | C4×D4 | — | 5 | 2 | no | — |
| 485 | C4×D4 | — | 10 | 4 | no | — |
| 486 | C4×D4 | — | 10 | 4 | no | — |
| 487 | C4×D4 | — | 10 | 2 | no | — |
| 488 | C4×D4 | C22×D5 | 1 | 2 | yes | — |
| 489 | #117 | — | 2 | 1 | no | — |
| 490 | #117 | — | 5 | 1 | no | — |
| 491 | #117 | — | 10 | 1 | no | — |
| 492 | #117 | C22×D5 | 1 | 1 | yes | characteristic |
| 493 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 494 | C2×C4⋊C4 | — | 10 | 4 | no | — |
| 495 | C2×C4⋊C4 | — | 10 | 4 | no | — |
| 496 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 497 | C2×C42 | — | 2 | 1 | no | — |
| 498 | C2×C42 | — | 10 | 1 | no | — |
| 499 | C2×C42 | C22×D5 | 1 | 1 | yes | characteristic |
| 500 | #107 | — | 5 | 2 | no | — |
| 501 | #106 | — | 5 | 2 | no | — |
| 502 | C4⋊C8 | C22×D5 | 1 | 4 | yes | — |
| 503 | #103 | — | 5 | 2 | no | — |
| 504 | #103 | — | 5 | 8 | no | — |
| 505 | #103 | — | 5 | 2 | no | — |
| 506 | #103 | C22×D5 | 1 | 8 | yes | — |
| 507 | #102 | — | 5 | 2 | no | — |
| 508 | #102 | — | 5 | 2 | no | — |
| 509 | C22⋊C8 | — | 5 | 8 | no | — |
| 510 | C4×C8 | — | 5 | 2 | no | — |
| 511 | C4×C8 | — | 5 | 2 | no | — |
| 512 | C22×C5 | — | 2 | 2 | no | — |
| 513 | C22×C5 | — | 2 | 2 | no | — |
| 514 | C22×C5 | — | 4 | 2 | no | — |
| 515 | C22×C5 | D42 | 1 | 2 | yes | — |
| 516 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 517 | C2×D5 | — | 2 | 4 | no | — |
| 518 | C2×D5 | — | 2 | 2 | no | — |
| 519 | C2×D5 | — | 2 | 8 | no | — |
| 520 | C2×D5 | — | 4 | 2 | no | — |
| 521 | C4×C5 | — | 2 | 2 | no | — |
| 522 | C4×C5 | — | 2 | 2 | no | — |
| 523 | C4×C5 | — | 4 | 4 | no | — |
| 524 | C4×C5 | — | 4 | 2 | no | — |
| 525 | C4×C5 | D42 | 1 | 2 | yes | — |
| 526 | C4×C5 | #578 | 1 | 4 | yes | complemented |
| 527 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 528 | C4×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 529 | Dic5 | — | 2 | 4 | no | — |
| 530 | Dic5 | — | 2 | 2 | no | — |
| 531 | Dic5 | — | 4 | 4 | no | — |
| 532 | Dic5 | — | 4 | 2 | no | — |
| 533 | #41 | — | 2 | 2 | no | — |
| 534 | #41 | — | 5 | 4 | no | — |
| 535 | #41 | — | 10 | 4 | no | — |
| 536 | #41 | — | 10 | 2 | no | — |
| 537 | #41 | — | 10 | 4 | no | — |
| 538 | #41 | — | 10 | 8 | no | — |
| 539 | #41 | — | 10 | 8 | no | — |
| 540 | #41 | — | 20 | 8 | no | — |
| 541 | #41 | — | 20 | 16 | no | — |
| 542 | #41 | — | 20 | 4 | no | — |
| 543 | #41 | — | 20 | 4 | no | — |
| 544 | #41 | — | 20 | 8 | no | — |
| 545 | #41 | — | 20 | 16 | no | — |
| 546 | #41 | D4×D5 | 1 | 4 | yes | — |
| 547 | C2×Q8 | — | 2 | 2 | no | — |
| 548 | C2×Q8 | — | 2 | 4 | no | — |
| 549 | C2×Q8 | — | 2 | 4 | no | — |
| 550 | C2×Q8 | — | 5 | 2 | no | — |
| 551 | C2×Q8 | — | 5 | 1 | no | — |
| 552 | C2×Q8 | — | 5 | 4 | no | — |
| 553 | C2×Q8 | — | 10 | 4 | no | — |
| 554 | C2×Q8 | — | 10 | 4 | no | — |
| 555 | C2×Q8 | — | 10 | 2 | no | — |
| 556 | C2×Q8 | — | 10 | 8 | no | — |
| 557 | C2×Q8 | — | 10 | 8 | no | — |
| 558 | C2×Q8 | — | 10 | 4 | no | — |
| 559 | C2×Q8 | — | 10 | 4 | no | — |
| 560 | C2×Q8 | — | 20 | 8 | no | — |
| 561 | C2×Q8 | — | 20 | 4 | no | — |
| 562 | C2×Q8 | — | 20 | 4 | no | — |
| 563 | C2×Q8 | — | 20 | 8 | no | — |
| 564 | C2×Q8 | C23×D5 | 1 | 4 | yes | — |
| 565 | C2×Q8 | C23×D5 | 1 | 1 | yes | characteristic |
| 566 | C2×D4 | — | 2 | 1 | no | — |
| 567 | C2×D4 | — | 5 | 4 | no | — |
| 568 | C2×D4 | — | 5 | 4 | no | — |
| 569 | C2×D4 | — | 5 | 2 | no | — |
| 570 | C2×D4 | — | 5 | 1 | no | — |
| 571 | C2×D4 | — | 10 | 4 | no | — |
| 572 | C2×D4 | — | 10 | 1 | no | — |
| 573 | C2×D4 | — | 10 | 4 | no | — |
| 574 | C2×D4 | C23×D5 | 1 | 1 | yes | characteristic |
| 575 | C22×C4 | — | 2 | 1 | no | — |
| 576 | C22×C4 | — | 2 | 2 | no | — |
| 577 | C22×C4 | — | 2 | 2 | no | — |
| 578 | C22×C4 | — | 5 | 4 | no | — |
| 579 | C22×C4 | — | 10 | 4 | no | — |
| 580 | C22×C4 | — | 10 | 4 | no | — |
| 581 | C22×C4 | — | 10 | 4 | no | — |
| 582 | C22×C4 | — | 10 | 4 | no | — |
| 583 | C22×C4 | — | 10 | 1 | no | — |
| 584 | C22×C4 | — | 10 | 2 | no | — |
| 585 | C22×C4 | — | 10 | 2 | no | — |
| 586 | C22×C4 | D4×D5 | 1 | 2 | yes | — |
| 587 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 588 | Q16 | — | 2 | 8 | no | — |
| 589 | Q16 | — | 5 | 4 | no | — |
| 590 | Q16 | — | 10 | 8 | no | — |
| 591 | Q16 | — | 10 | 8 | no | — |
| 592 | Q16 | — | 10 | 8 | no | — |
| 593 | Q16 | — | 20 | 8 | no | — |
| 594 | SD16 | — | 2 | 8 | no | — |
| 595 | SD16 | — | 5 | 4 | no | — |
| 596 | SD16 | — | 5 | 4 | no | — |
| 597 | SD16 | — | 10 | 8 | no | — |
| 598 | D8 | — | 5 | 4 | no | — |
| 599 | M16 | — | 2 | 4 | no | — |
| 600 | M16 | — | 10 | 8 | no | — |
| 601 | C2×C8 | — | 5 | 4 | no | — |
| 602 | C2×C8 | — | 5 | 1 | no | — |
| 603 | C2×C8 | — | 5 | 1 | no | — |
| 604 | C2×C8 | — | 5 | 2 | no | — |
| 605 | C2×C8 | — | 10 | 8 | no | — |
| 606 | C2×C8 | — | 10 | 2 | no | — |
| 607 | C2×C8 | C23×D5 | 1 | 4 | yes | — |
| 608 | C4⋊C4 | — | 2 | 4 | no | — |
| 609 | C4⋊C4 | — | 2 | 4 | no | — |
| 610 | C4⋊C4 | — | 2 | 2 | no | — |
| 611 | C4⋊C4 | — | 5 | 4 | no | — |
| 612 | C4⋊C4 | — | 5 | 2 | no | — |
| 613 | C4⋊C4 | — | 10 | 8 | no | — |
| 614 | C4⋊C4 | — | 10 | 8 | no | — |
| 615 | C4⋊C4 | — | 10 | 4 | no | — |
| 616 | C4⋊C4 | — | 10 | 4 | no | — |
| 617 | C4⋊C4 | — | 10 | 2 | no | — |
| 618 | C4⋊C4 | C23×D5 | 1 | 2 | yes | — |
| 619 | C22⋊C4 | — | 2 | 1 | no | — |
| 620 | C22⋊C4 | — | 2 | 2 | no | — |
| 621 | C22⋊C4 | — | 5 | 8 | no | — |
| 622 | C22⋊C4 | — | 10 | 8 | no | — |
| 623 | C22⋊C4 | — | 10 | 8 | no | — |
| 624 | C22⋊C4 | — | 10 | 1 | no | — |
| 625 | C22⋊C4 | — | 10 | 2 | no | — |
| 626 | C42 | — | 2 | 1 | no | — |
| 627 | C42 | — | 2 | 2 | no | — |
| 628 | C42 | — | 10 | 1 | no | — |
| 629 | C42 | — | 10 | 2 | no | — |
| 630 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 631 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 632 | C42 | C23×D5 | 1 | 2 | yes | — |
| 633 | C2×C5 | — | 2 | 2 | no | — |
| 634 | C2×C5 | — | 4 | 2 | no | — |
| 635 | C2×C5 | C2×D42 | 1 | 1 | yes | characteristic |
| 636 | C2×C5 | C2×#578 | 1 | 2 | yes | — |
| 637 | D5 | — | 4 | 4 | no | — |
| 638 | D5 | — | 4 | 2 | no | — |
| 639 | C23 | — | 2 | 1 | no | — |
| 640 | C23 | — | 5 | 4 | no | — |
| 641 | C23 | — | 10 | 1 | no | — |
| 642 | C23 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 643 | Q8 | — | 2 | 1 | no | — |
| 644 | Q8 | — | 2 | 4 | no | — |
| 645 | Q8 | — | 2 | 4 | no | — |
| 646 | Q8 | — | 4 | 4 | no | — |
| 647 | Q8 | — | 5 | 2 | no | — |
| 648 | Q8 | — | 10 | 4 | no | — |
| 649 | Q8 | — | 10 | 1 | no | — |
| 650 | Q8 | — | 10 | 4 | no | — |
| 651 | Q8 | — | 10 | 4 | no | — |
| 652 | Q8 | — | 20 | 8 | no | — |
| 653 | Q8 | — | 20 | 8 | no | — |
| 654 | Q8 | — | 20 | 4 | no | — |
| 655 | Q8 | C2×D4×D5 | 1 | 2 | yes | — |
| 656 | D4 | — | 2 | 4 | no | — |
| 657 | D4 | — | 2 | 1 | no | — |
| 658 | D4 | — | 5 | 2 | no | — |
| 659 | D4 | — | 10 | 8 | no | — |
| 660 | D4 | — | 10 | 4 | no | — |
| 661 | D4 | — | 10 | 8 | no | — |
| 662 | D4 | — | 10 | 4 | no | — |
| 663 | D4 | — | 10 | 1 | no | — |
| 664 | D4 | — | 20 | 8 | no | — |
| 665 | D4 | — | 20 | 8 | no | — |
| 666 | D4 | C2×D4×D5 | 1 | 2 | yes | — |
| 667 | C2×C4 | — | 2 | 1 | no | — |
| 668 | C2×C4 | — | 2 | 4 | no | — |
| 669 | C2×C4 | — | 2 | 4 | no | — |
| 670 | C2×C4 | — | 2 | 2 | no | — |
| 671 | C2×C4 | — | 2 | 4 | no | — |
| 672 | C2×C4 | — | 4 | 4 | no | — |
| 673 | C2×C4 | — | 4 | 4 | no | — |
| 674 | C2×C4 | — | 5 | 4 | no | — |
| 675 | C2×C4 | — | 10 | 1 | no | — |
| 676 | C2×C4 | — | 10 | 4 | no | — |
| 677 | C2×C4 | — | 10 | 4 | no | — |
| 678 | C2×C4 | — | 10 | 4 | no | — |
| 679 | C2×C4 | — | 10 | 2 | no | — |
| 680 | C2×C4 | — | 10 | 4 | no | — |
| 681 | C2×C4 | — | 20 | 8 | no | — |
| 682 | C2×C4 | — | 20 | 8 | no | — |
| 683 | C2×C4 | — | 20 | 8 | no | — |
| 684 | C2×C4 | — | 20 | 8 | no | — |
| 685 | C2×C4 | — | 20 | 4 | no | — |
| 686 | C2×C4 | — | 20 | 4 | no | — |
| 687 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 688 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 689 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 690 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 691 | C2×C4 | #4149 | 1 | 2 | yes | — |
| 692 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 693 | C8 | — | 2 | 4 | no | — |
| 694 | C8 | — | 5 | 2 | no | — |
| 695 | C8 | — | 5 | 2 | no | — |
| 696 | C8 | — | 10 | 2 | no | — |
| 697 | C5 | #61091 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 698 | C22 | — | 2 | 2 | no | — |
| 699 | C22 | — | 2 | 2 | no | — |
| 700 | C22 | — | 4 | 2 | no | — |
| 701 | C22 | — | 10 | 8 | no | — |
| 702 | C22 | — | 10 | 2 | no | — |
| 703 | C22 | — | 10 | 4 | no | — |
| 704 | C22 | — | 20 | 2 | no | — |
| 705 | C22 | #65943 | 1 | 2 | yes | — |
| 706 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 707 | C4 | — | 2 | 2 | no | — |
| 708 | C4 | — | 2 | 2 | no | — |
| 709 | C4 | — | 4 | 2 | no | — |
| 710 | C4 | — | 4 | 4 | no | — |
| 711 | C4 | — | 10 | 4 | no | — |
| 712 | C4 | — | 10 | 2 | no | — |
| 713 | C4 | — | 20 | 2 | no | — |
| 714 | C4 | — | 20 | 4 | no | — |
| 715 | C4 | #65943 | 1 | 2 | yes | — |
| 716 | C4 | #66113 | 1 | 4 | yes | complemented |
| 717 | C4 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 718 | C4 | C2×#4149 | 1 | 1 | yes | characteristic |
| 719 | C2 | — | 2 | 2 | no | — |
| 720 | C2 | — | 4 | 2 | no | — |
| 721 | C2 | — | 20 | 4 | no | — |
| 722 | C2 | — | 20 | 2 | no | — |
| 723 | C2 | C2×#65943 | 1 | 1 | yes | characteristic |
| 724 | C2 | C2×#66113 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#66113 | C2 | semidirect |
| 2. #10618115 | C2 | semidirect |
| 3. #10617728 | C2 | semidirect |
| 4. C5×#3039 | C2 | semidirect |
| 5. #10615714 | C2 | semidirect |
| 6. C2×#65381 | C2 | semidirect |
| 7. C4×#4096 | C2 | semidirect |
| 8. #10612232 | C2 | semidirect |
| 9. #10612221 | C2 | semidirect |
| 10. #10612180 | C2 | semidirect |
| 11. #10612178 | C2 | semidirect |
| 12. #10610788 | C2 | semidirect |
| 13. #10610772 | C2 | semidirect |
| 14. #10610695 | C2 | semidirect |
| 15. #10610692 | C2 | semidirect |
| 109. #4096 | D4 | semidirect |
| 188. #3039 | D5 | semidirect |
| 526. C4×C5 | #578 | semidirect |
| 697. C5 | #61091 | semidirect |
| 716. C4 | #66113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66113 | 2 |
| #10618115 | 2 |
| #10617728 | 2 |
| C5×#3039 | 2 |
| #10615714 | 2 |
| C2×#65381 | 2 |
| C4×#4096 | 2 |
| #10612232 | 2 |
| #10612221 | 2 |
| #10612180 | 2 |
| #10612178 | 2 |
| #10610788 | 2 |
| #10610772 | 2 |
| #10610695 | 2 |
| #10610692 | 2 |
| #61091 | 5 |