Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1862 conjugacy classes of subgroups.
The subgroup lattice has 740 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10618944 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C5×Q8×Q16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10615439 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10613678 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10613677 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10613666 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10613664 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10612855 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10612852 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #10612828 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #10612825 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10611646 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10611634 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10611465 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10611463 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #10611452 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | C4×D5×Q16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | C5×Q82 | C22 | 1 | 2 | yes | — |
| 19 | C2×#4065 | C22 | 1 | 2 | yes | — |
| 20 | C2×D5×Q16 | C22 | 1 | 1 | yes | characteristic |
| 21 | #66067 | — | 2 | 4 | no | — |
| 22 | #66067 | C22 | 1 | 4 | yes | — |
| 23 | #66064 | — | 2 | 2 | no | — |
| 24 | #66064 | C22 | 1 | 2 | yes | — |
| 25 | #66060 | — | 2 | 4 | no | — |
| 26 | #66060 | C22 | 1 | 4 | yes | — |
| 27 | #66059 | — | 2 | 2 | no | — |
| 28 | #66059 | C22 | 1 | 2 | yes | — |
| 29 | #65919 | — | 2 | 2 | no | — |
| 30 | #65919 | C22 | 1 | 2 | yes | — |
| 31 | #65914 | — | 2 | 2 | no | — |
| 32 | #65914 | C22 | 1 | 1 | yes | characteristic |
| 33 | #65911 | C22 | 1 | 2 | yes | — |
| 34 | #65910 | C22 | 1 | 4 | yes | — |
| 35 | #65908 | C22 | 1 | 4 | yes | — |
| 36 | C4×Q8×D5 | C22 | 1 | 2 | yes | — |
| 37 | C5×#500 | C22 | 1 | 1 | yes | characteristic |
| 38 | C5×#500 | C22 | 1 | 2 | yes | — |
| 39 | C5×#477 | C22 | 1 | 2 | yes | — |
| 40 | C5×#477 | C22 | 1 | 4 | yes | — |
| 41 | C5×C8×Q8 | C22 | 1 | 1 | yes | characteristic |
| 42 | C4×C5×Q16 | C22 | 1 | 2 | yes | — |
| 43 | C4×C5×Q16 | C22 | 1 | 1 | yes | characteristic |
| 44 | Q16×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 45 | #65380 | C22 | 1 | 2 | yes | — |
| 46 | #65378 | C22 | 1 | 4 | yes | — |
| 47 | #65377 | C22 | 1 | 2 | yes | — |
| 48 | #65376 | C22 | 1 | 4 | yes | — |
| 49 | C4×#689 | C22 | 1 | 2 | yes | — |
| 50 | #65317 | C22 | 1 | 4 | yes | — |
| 51 | #65316 | C22 | 1 | 2 | yes | — |
| 52 | #65315 | C22 | 1 | 4 | yes | — |
| 53 | #65313 | C22 | 1 | 1 | yes | characteristic |
| 54 | #65178 | C22 | 1 | 4 | yes | — |
| 55 | #65176 | C22 | 1 | 2 | yes | — |
| 56 | #65175 | C22 | 1 | 4 | yes | — |
| 57 | #65173 | C22 | 1 | 4 | yes | — |
| 58 | #65172 | C22 | 1 | 2 | yes | — |
| 59 | #65172 | C22 | 1 | 2 | yes | — |
| 60 | #65172 | C22 | 1 | 2 | yes | — |
| 61 | #65171 | C22 | 1 | 4 | yes | — |
| 62 | #65171 | C22 | 1 | 4 | yes | — |
| 63 | D5×#107 | C22 | 1 | 1 | yes | characteristic |
| 64 | D5×#107 | C22 | 1 | 2 | yes | — |
| 65 | #65162 | C22 | 1 | 1 | yes | characteristic |
| 66 | #65161 | C22 | 1 | 2 | yes | — |
| 67 | #65161 | C22 | 1 | 2 | yes | — |
| 68 | #65137 | C22 | 1 | 2 | yes | — |
| 69 | #65133 | C22 | 1 | 4 | yes | — |
| 70 | #65129 | C22 | 1 | 2 | yes | — |
| 71 | #65127 | C22 | 1 | 1 | yes | characteristic |
| 72 | #65125 | C22 | 1 | 2 | yes | — |
| 73 | #65124 | C22 | 1 | 1 | yes | characteristic |
| 74 | #65106 | C22 | 1 | 4 | yes | — |
| 75 | #65100 | C22 | 1 | 4 | yes | — |
| 76 | #65099 | C22 | 1 | 4 | yes | — |
| 77 | #65095 | C22 | 1 | 4 | yes | — |
| 78 | #65092 | C22 | 1 | 4 | yes | — |
| 79 | D5×#103 | C22 | 1 | 2 | yes | — |
| 80 | #65079 | C22 | 1 | 2 | yes | — |
| 81 | C4×Dic20 | C22 | 1 | 1 | yes | characteristic |
| 82 | #64985 | C22 | 1 | 2 | yes | — |
| 83 | #64984 | C22 | 1 | 1 | yes | characteristic |
| 84 | C4×D40 | C22 | 1 | 2 | yes | — |
| 85 | #64978 | C22 | 1 | 2 | yes | — |
| 86 | C8×D20 | C22 | 1 | 2 | yes | — |
| 87 | C8×D20 | C22 | 1 | 1 | yes | characteristic |
| 88 | C4×C8×D5 | C22 | 1 | 1 | yes | characteristic |
| 89 | #61485 | — | 5 | 1 | no | maximal, Sylow |
| 90 | C2×#713 | — | 2 | 4 | no | — |
| 91 | C2×#713 | — | 2 | 2 | no | — |
| 92 | C2×#713 | C23 | 1 | 4 | yes | — |
| 93 | C2×Q8×D5 | C23 | 1 | 2 | yes | — |
| 94 | C2×C5×Q16 | C23 | 1 | 1 | yes | characteristic |
| 95 | C5×C4⋊Q8 | — | 2 | 2 | no | — |
| 96 | C5×C4⋊Q8 | — | 2 | 4 | no | — |
| 97 | C5×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 98 | C5×C4⋊Q8 | C23 | 1 | 4 | yes | — |
| 99 | C4×C5×Q8 | — | 2 | 2 | no | — |
| 100 | C4×C5×Q8 | C23 | 1 | 4 | yes | — |
| 101 | C4×C5×Q8 | C23 | 1 | 2 | yes | — |
| 102 | C4×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 103 | #4093 | — | 2 | 2 | no | — |
| 104 | #4093 | — | 2 | 4 | no | — |
| 105 | #4093 | — | 2 | 2 | no | — |
| 106 | #4093 | D4 | 1 | 1 | yes | characteristic |
| 107 | #4092 | — | 2 | 4 | no | — |
| 108 | #4092 | — | 2 | 4 | no | — |
| 109 | #4092 | — | 2 | 4 | no | — |
| 110 | #4092 | D4 | 1 | 1 | yes | characteristic |
| 111 | Q8×Dic5 | C23 | 1 | 2 | yes | — |
| 112 | C2×#689 | C23 | 1 | 2 | yes | — |
| 113 | C2×#688 | C23 | 1 | 4 | yes | — |
| 114 | #4065 | — | 2 | 8 | no | — |
| 115 | D5×Q16 | — | 2 | 4 | no | — |
| 116 | C2×Dic20 | C23 | 1 | 1 | yes | characteristic |
| 117 | C2×D40 | C23 | 1 | 2 | yes | — |
| 118 | C2×D40 | C23 | 1 | 2 | yes | — |
| 119 | C2×#677 | C23 | 1 | 4 | yes | — |
| 120 | C2×#676 | C23 | 1 | 2 | yes | — |
| 121 | C2×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×C8×D5 | C23 | 1 | 2 | yes | — |
| 123 | C2×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 124 | #4044 | — | 2 | 4 | no | — |
| 125 | #4044 | D4 | 1 | 2 | yes | — |
| 126 | #4043 | — | 2 | 4 | no | — |
| 127 | #4043 | C23 | 1 | 4 | yes | — |
| 128 | #4041 | — | 2 | 4 | no | — |
| 129 | #4041 | — | 2 | 2 | no | — |
| 130 | #4041 | — | 2 | 4 | no | — |
| 131 | #4041 | D4 | 1 | 1 | yes | characteristic |
| 132 | #4041 | C23 | 1 | 4 | yes | — |
| 133 | #4041 | C23 | 1 | 4 | yes | — |
| 134 | #4040 | — | 2 | 4 | no | — |
| 135 | #4040 | — | 2 | 4 | no | — |
| 136 | #4040 | — | 2 | 4 | no | — |
| 137 | #4040 | — | 2 | 4 | no | — |
| 138 | #4040 | D4 | 1 | 2 | yes | — |
| 139 | #4039 | — | 2 | 2 | no | — |
| 140 | #4039 | — | 2 | 2 | no | — |
| 141 | #4039 | — | 2 | 4 | no | — |
| 142 | #4039 | — | 2 | 2 | no | — |
| 143 | #4039 | C23 | 1 | 4 | yes | — |
| 144 | D5×C4⋊C4 | — | 2 | 2 | no | — |
| 145 | D5×C4⋊C4 | — | 2 | 4 | no | — |
| 146 | D5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 147 | D5×C4⋊C4 | C23 | 1 | 4 | yes | — |
| 148 | #4036 | — | 2 | 2 | no | — |
| 149 | #4036 | D4 | 1 | 1 | yes | characteristic |
| 150 | #4033 | — | 2 | 2 | no | — |
| 151 | #4033 | C23 | 1 | 2 | yes | — |
| 152 | #4021 | — | 2 | 4 | no | — |
| 153 | #4021 | C23 | 1 | 4 | yes | — |
| 154 | #4020 | — | 2 | 2 | no | — |
| 155 | #4020 | C23 | 1 | 2 | yes | — |
| 156 | C4×D20 | — | 2 | 4 | no | — |
| 157 | C4×D20 | — | 2 | 4 | no | — |
| 158 | C4×D20 | — | 2 | 2 | no | — |
| 159 | C4×D20 | C23 | 1 | 2 | yes | — |
| 160 | C4×D20 | C23 | 1 | 1 | yes | characteristic |
| 161 | C4×D20 | C23 | 1 | 4 | yes | — |
| 162 | #4018 | — | 2 | 4 | no | — |
| 163 | #4018 | C23 | 1 | 2 | yes | — |
| 164 | C42×D5 | — | 2 | 2 | no | — |
| 165 | C42×D5 | C23 | 1 | 1 | yes | characteristic |
| 166 | C4×Dic10 | — | 2 | 2 | no | — |
| 167 | C4×Dic10 | C23 | 1 | 2 | yes | — |
| 168 | C5×#107 | C23 | 1 | 2 | yes | — |
| 169 | C5×#107 | C23 | 1 | 1 | yes | characteristic |
| 170 | C5×#107 | C23 | 1 | 2 | yes | — |
| 171 | C5×#107 | C23 | 1 | 4 | yes | — |
| 172 | C5×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 173 | C5×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 174 | C5×#103 | C23 | 1 | 2 | yes | — |
| 175 | C5×#103 | C23 | 1 | 4 | yes | — |
| 176 | C4×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 177 | C4×C5×C8 | C23 | 1 | 2 | yes | — |
| 178 | #3967 | C23 | 1 | 2 | yes | — |
| 179 | #3953 | C23 | 1 | 4 | yes | — |
| 180 | #3952 | C23 | 1 | 2 | yes | — |
| 181 | #3952 | C23 | 1 | 2 | yes | — |
| 182 | #3952 | C23 | 1 | 2 | yes | — |
| 183 | #3950 | C23 | 1 | 1 | yes | characteristic |
| 184 | #3948 | C23 | 1 | 2 | yes | — |
| 185 | #3947 | C23 | 1 | 2 | yes | — |
| 186 | C8×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 187 | C8×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 188 | #3942 | C23 | 1 | 4 | yes | — |
| 189 | #3942 | C23 | 1 | 2 | yes | — |
| 190 | #3941 | C23 | 1 | 4 | yes | — |
| 191 | #3941 | C23 | 1 | 4 | yes | — |
| 192 | #3941 | C23 | 1 | 4 | yes | — |
| 193 | #3939 | C23 | 1 | 4 | yes | — |
| 194 | #3939 | C23 | 1 | 2 | yes | — |
| 195 | C4⋊#168 | C23 | 1 | 1 | yes | characteristic |
| 196 | C4⋊#168 | C23 | 1 | 2 | yes | — |
| 197 | #3935 | C23 | 1 | 2 | yes | — |
| 198 | C4×#168 | C23 | 1 | 1 | yes | characteristic |
| 199 | #3522 | — | 5 | 2 | no | — |
| 200 | #3396 | — | 5 | 1 | no | — |
| 201 | Q8×Q16 | D5 | 1 | 1 | yes | characteristic, complemented |
| 202 | #3375 | — | 5 | 2 | no | — |
| 203 | #3338 | — | 5 | 1 | no | — |
| 204 | #3334 | — | 5 | 2 | no | — |
| 205 | #3333 | — | 5 | 2 | no | — |
| 206 | #3308 | — | 5 | 4 | no | — |
| 207 | #3287 | — | 5 | 1 | no | — |
| 208 | #3285 | — | 5 | 2 | no | — |
| 209 | #3175 | — | 5 | 2 | no | — |
| 210 | #3169 | — | 5 | 1 | no | — |
| 211 | #3124 | — | 5 | 4 | no | — |
| 212 | #3112 | — | 5 | 2 | no | — |
| 213 | #2966 | — | 5 | 1 | no | — |
| 214 | #2951 | — | 5 | 2 | no | — |
| 215 | C2×C4×Q16 | — | 5 | 1 | no | — |
| 216 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 217 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 218 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 220 | #713 | — | 2 | 8 | no | — |
| 221 | #713 | — | 4 | 4 | no | — |
| 222 | #713 | — | 8 | 4 | no | — |
| 223 | #713 | — | 8 | 8 | no | — |
| 224 | Q8×D5 | — | 2 | 4 | no | — |
| 225 | Q8×D5 | — | 4 | 2 | no | — |
| 226 | C2×D20 | — | 2 | 4 | no | — |
| 227 | C2×D20 | — | 2 | 4 | no | — |
| 228 | C2×D20 | — | 2 | 2 | no | — |
| 229 | C2×D20 | — | 2 | 4 | no | — |
| 230 | C2×D20 | — | 2 | 2 | no | — |
| 231 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 232 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 233 | C2×D20 | C24 | 1 | 4 | yes | — |
| 234 | C2×C4×D5 | — | 2 | 2 | no | — |
| 235 | C2×C4×D5 | — | 2 | 2 | no | — |
| 236 | C2×C4×D5 | — | 2 | 4 | no | — |
| 237 | C2×C4×D5 | — | 2 | 4 | no | — |
| 238 | C2×C4×D5 | — | 2 | 4 | no | — |
| 239 | C2×C4×D5 | — | 2 | 4 | no | — |
| 240 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C2×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 243 | C2×C4×D5 | C24 | 1 | 2 | yes | — |
| 244 | C2×Dic10 | — | 2 | 2 | no | — |
| 245 | C2×Dic10 | C24 | 1 | 2 | yes | — |
| 246 | C5×Q16 | #41 | 1 | 4 | yes | complemented |
| 247 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 248 | C2×C5×C8 | C24 | 1 | 2 | yes | — |
| 249 | C2×C5×C8 | C24 | 1 | 1 | yes | characteristic |
| 250 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 251 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 252 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 253 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 254 | C5×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C5×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 256 | C5×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 257 | C5×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 258 | C42×C5 | — | 2 | 2 | no | — |
| 259 | C42×C5 | — | 2 | 4 | no | — |
| 260 | C42×C5 | C24 | 1 | 1 | yes | characteristic |
| 261 | C42×C5 | C24 | 1 | 2 | yes | — |
| 262 | #689 | — | 2 | 4 | no | — |
| 263 | #688 | — | 2 | 8 | no | — |
| 264 | #685 | — | 2 | 4 | no | — |
| 265 | #685 | — | 2 | 4 | no | — |
| 266 | #685 | — | 2 | 4 | no | — |
| 267 | #685 | — | 2 | 4 | no | — |
| 268 | #685 | — | 2 | 4 | no | — |
| 269 | #685 | — | 2 | 4 | no | — |
| 270 | #685 | — | 2 | 4 | no | — |
| 271 | #685 | C2×D4 | 1 | 2 | yes | — |
| 272 | #685 | C2×D4 | 1 | 2 | yes | — |
| 273 | #685 | C2×D4 | 1 | 2 | yes | — |
| 274 | #685 | C2×D4 | 1 | 2 | yes | — |
| 275 | #685 | C2×D4 | 1 | 2 | yes | — |
| 276 | C4⋊Dic5 | — | 2 | 2 | no | — |
| 277 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 278 | C4⋊Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 279 | C4⋊Dic5 | C2×D4 | 1 | 2 | yes | — |
| 280 | C4⋊Dic5 | C24 | 1 | 2 | yes | — |
| 281 | #683 | — | 2 | 2 | no | — |
| 282 | #683 | — | 2 | 2 | no | — |
| 283 | #683 | — | 2 | 2 | no | — |
| 284 | #683 | — | 2 | 4 | no | — |
| 285 | #683 | C2×D4 | 1 | 2 | yes | — |
| 286 | #683 | C2×D4 | 1 | 2 | yes | — |
| 287 | C4×Dic5 | — | 2 | 2 | no | — |
| 288 | C4×Dic5 | — | 2 | 2 | no | — |
| 289 | C4×Dic5 | — | 2 | 2 | no | — |
| 290 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 291 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 292 | C4×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 293 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 294 | C2×#168 | C24 | 1 | 1 | yes | characteristic |
| 295 | C2×#168 | C24 | 1 | 2 | yes | — |
| 296 | Dic20 | — | 2 | 2 | no | — |
| 297 | D40 | — | 2 | 4 | no | — |
| 298 | D40 | — | 4 | 2 | no | — |
| 299 | #677 | — | 4 | 4 | no | — |
| 300 | #676 | — | 4 | 2 | no | — |
| 301 | C8×D5 | — | 2 | 2 | no | — |
| 302 | C8×D5 | — | 2 | 4 | no | — |
| 303 | C8×D5 | — | 4 | 1 | no | — |
| 304 | C2×#135 | — | 5 | 2 | no | — |
| 305 | C22×Q16 | — | 5 | 1 | no | — |
| 306 | #559 | — | 5 | 2 | no | — |
| 307 | #559 | — | 10 | 2 | no | — |
| 308 | Q82 | C2×D5 | 1 | 2 | yes | — |
| 309 | #554 | — | 5 | 2 | no | — |
| 310 | #554 | — | 10 | 2 | no | — |
| 311 | #550 | — | 5 | 2 | no | — |
| 312 | #548 | — | 5 | 4 | no | — |
| 313 | #547 | — | 5 | 4 | no | — |
| 314 | #547 | — | 10 | 4 | no | — |
| 315 | #542 | — | 5 | 4 | no | — |
| 316 | #542 | — | 10 | 4 | no | — |
| 317 | #532 | — | 5 | 2 | no | — |
| 318 | #532 | — | 10 | 2 | no | — |
| 319 | #529 | — | 5 | 1 | no | — |
| 320 | #529 | — | 10 | 2 | no | — |
| 321 | #520 | — | 5 | 4 | no | — |
| 322 | C2×C4×Q8 | — | 5 | 2 | no | — |
| 323 | #500 | C2×D5 | 1 | 2 | yes | — |
| 324 | #500 | C2×D5 | 1 | 1 | yes | characteristic |
| 325 | #495 | — | 5 | 2 | no | — |
| 326 | #493 | — | 5 | 1 | no | — |
| 327 | #489 | — | 5 | 4 | no | — |
| 328 | #486 | — | 5 | 2 | no | — |
| 329 | #484 | — | 5 | 4 | no | — |
| 330 | #480 | — | 5 | 4 | no | — |
| 331 | #480 | — | 5 | 4 | no | — |
| 332 | #477 | — | 5 | 2 | no | — |
| 333 | #477 | C2×D5 | 1 | 2 | yes | — |
| 334 | #477 | C2×D5 | 1 | 4 | yes | — |
| 335 | #474 | — | 5 | 4 | no | — |
| 336 | #468 | — | 5 | 4 | no | — |
| 337 | #467 | — | 5 | 2 | no | — |
| 338 | #466 | — | 5 | 2 | no | — |
| 339 | #466 | — | 5 | 2 | no | — |
| 340 | #466 | — | 5 | 2 | no | — |
| 341 | #464 | — | 5 | 4 | no | — |
| 342 | #463 | — | 5 | 4 | no | — |
| 343 | #460 | — | 5 | 2 | no | — |
| 344 | #460 | — | 5 | 2 | no | — |
| 345 | #452 | — | 5 | 4 | no | — |
| 346 | #449 | — | 5 | 4 | no | — |
| 347 | #448 | — | 5 | 4 | no | — |
| 348 | #446 | — | 5 | 1 | no | — |
| 349 | C8×Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 350 | #440 | — | 5 | 4 | no | — |
| 351 | #440 | — | 5 | 4 | no | — |
| 352 | #440 | — | 5 | 4 | no | — |
| 353 | C4×Q16 | — | 5 | 1 | no | — |
| 354 | C4×Q16 | — | 5 | 2 | no | — |
| 355 | C4×Q16 | — | 5 | 1 | no | — |
| 356 | C4×Q16 | — | 5 | 2 | no | — |
| 357 | C4×Q16 | — | 5 | 1 | no | — |
| 358 | C4×Q16 | C2×D5 | 1 | 1 | yes | characteristic |
| 359 | C4×Q16 | C2×D5 | 1 | 2 | yes | — |
| 360 | C4×D8 | — | 5 | 2 | no | — |
| 361 | C4×D8 | — | 5 | 2 | no | — |
| 362 | C4×D8 | — | 5 | 2 | no | — |
| 363 | #436 | — | 5 | 1 | no | — |
| 364 | #435 | — | 5 | 2 | no | — |
| 365 | C8×D4 | — | 5 | 2 | no | — |
| 366 | C8×D4 | — | 5 | 1 | no | — |
| 367 | #433 | — | 5 | 2 | no | — |
| 368 | #432 | — | 5 | 1 | no | — |
| 369 | C2×#107 | — | 5 | 1 | no | — |
| 370 | C2×#107 | — | 5 | 2 | no | — |
| 371 | #417 | — | 5 | 4 | no | — |
| 372 | C2×#103 | — | 5 | 2 | no | — |
| 373 | #405 | — | 5 | 2 | no | — |
| 374 | C2×C4×C8 | — | 5 | 1 | no | — |
| 375 | C22×D5 | — | 2 | 4 | no | — |
| 376 | C22×D5 | C22×D4 | 1 | 2 | yes | — |
| 377 | C22×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 378 | C5×Q8 | — | 2 | 2 | no | — |
| 379 | C5×Q8 | — | 2 | 2 | no | — |
| 380 | C5×Q8 | — | 8 | 2 | no | — |
| 381 | C5×Q8 | — | 8 | 4 | no | — |
| 382 | C5×Q8 | C2×#41 | 1 | 4 | yes | — |
| 383 | C2×C4×C5 | — | 2 | 2 | no | — |
| 384 | C2×C4×C5 | — | 2 | 2 | no | — |
| 385 | C2×C4×C5 | — | 2 | 4 | no | — |
| 386 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 387 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 388 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 389 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 390 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 391 | C2×Dic5 | — | 2 | 2 | no | — |
| 392 | C2×Dic5 | — | 2 | 2 | no | — |
| 393 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 394 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 395 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 396 | C2×Dic5 | C22×D4 | 1 | 2 | yes | — |
| 397 | D20 | — | 2 | 4 | no | — |
| 398 | D20 | — | 2 | 2 | no | — |
| 399 | D20 | — | 2 | 4 | no | — |
| 400 | D20 | — | 2 | 4 | no | — |
| 401 | D20 | — | 4 | 8 | no | — |
| 402 | D20 | — | 4 | 8 | no | — |
| 403 | D20 | — | 4 | 4 | no | — |
| 404 | D20 | — | 8 | 2 | no | — |
| 405 | D20 | — | 8 | 4 | no | — |
| 406 | C4×D5 | — | 2 | 2 | no | — |
| 407 | C4×D5 | — | 2 | 2 | no | — |
| 408 | C4×D5 | — | 2 | 1 | no | — |
| 409 | C4×D5 | — | 2 | 2 | no | — |
| 410 | C4×D5 | — | 2 | 1 | no | — |
| 411 | C4×D5 | — | 2 | 2 | no | — |
| 412 | C4×D5 | — | 4 | 8 | no | — |
| 413 | C4×D5 | — | 4 | 4 | no | — |
| 414 | C4×D5 | — | 4 | 4 | no | — |
| 415 | C4×D5 | — | 8 | 4 | no | — |
| 416 | C4×D5 | — | 8 | 4 | no | — |
| 417 | C4×D5 | — | 8 | 4 | no | — |
| 418 | Dic10 | — | 2 | 2 | no | — |
| 419 | Dic10 | — | 2 | 2 | no | — |
| 420 | Dic10 | — | 4 | 4 | no | — |
| 421 | C5×C8 | — | 2 | 1 | no | — |
| 422 | C5×C8 | — | 2 | 2 | no | — |
| 423 | C5×C8 | C2×#41 | 1 | 2 | yes | — |
| 424 | #168 | — | 2 | 2 | no | — |
| 425 | #168 | — | 2 | 1 | no | — |
| 426 | #168 | — | 2 | 1 | no | — |
| 427 | C2×#41 | — | 5 | 4 | no | — |
| 428 | C2×#41 | — | 10 | 2 | no | — |
| 429 | C2×#41 | — | 10 | 4 | no | — |
| 430 | C22×Q8 | — | 5 | 2 | no | — |
| 431 | #135 | — | 10 | 8 | no | — |
| 432 | C2×Q16 | — | 5 | 2 | no | — |
| 433 | C2×Q16 | — | 5 | 1 | no | — |
| 434 | C2×Q16 | — | 10 | 4 | no | — |
| 435 | C2×Q16 | C22×D5 | 1 | 1 | yes | characteristic |
| 436 | C2×SD16 | — | 5 | 4 | no | — |
| 437 | C2×SD16 | — | 5 | 4 | no | — |
| 438 | C2×D8 | — | 5 | 2 | no | — |
| 439 | C2×D8 | — | 5 | 2 | no | — |
| 440 | C2×M16 | — | 5 | 2 | no | — |
| 441 | C22×C8 | — | 5 | 1 | no | — |
| 442 | C22×C8 | — | 5 | 2 | no | — |
| 443 | C22×C8 | — | 5 | 1 | no | — |
| 444 | C4⋊Q8 | — | 2 | 2 | no | — |
| 445 | C4⋊Q8 | — | 2 | 4 | no | — |
| 446 | C4⋊Q8 | C22×D5 | 1 | 2 | yes | — |
| 447 | C4⋊Q8 | C22×D5 | 1 | 4 | yes | — |
| 448 | #127 | — | 5 | 2 | no | — |
| 449 | #127 | — | 10 | 2 | no | — |
| 450 | #126 | — | 5 | 2 | no | — |
| 451 | #126 | — | 10 | 4 | no | — |
| 452 | #125 | — | 5 | 1 | no | — |
| 453 | #125 | — | 10 | 2 | no | — |
| 454 | #124 | — | 5 | 1 | no | — |
| 455 | #124 | — | 5 | 4 | no | — |
| 456 | #124 | — | 10 | 4 | no | — |
| 457 | #124 | — | 10 | 2 | no | — |
| 458 | #124 | — | 10 | 4 | no | — |
| 459 | #124 | — | 10 | 2 | no | — |
| 460 | #123 | — | 5 | 2 | no | — |
| 461 | #123 | — | 10 | 4 | no | — |
| 462 | #123 | — | 10 | 4 | no | — |
| 463 | #123 | — | 10 | 4 | no | — |
| 464 | #123 | — | 10 | 4 | no | — |
| 465 | C22⋊Q8 | — | 5 | 1 | no | — |
| 466 | C22⋊Q8 | — | 5 | 4 | no | — |
| 467 | C22⋊Q8 | — | 10 | 4 | no | — |
| 468 | C22⋊Q8 | — | 10 | 4 | no | — |
| 469 | C22⋊Q8 | — | 10 | 4 | no | — |
| 470 | C22⋊Q8 | — | 10 | 4 | no | — |
| 471 | #121 | — | 5 | 1 | no | — |
| 472 | #121 | — | 5 | 4 | no | — |
| 473 | #121 | — | 5 | 4 | no | — |
| 474 | #121 | — | 10 | 4 | no | — |
| 475 | #121 | — | 10 | 2 | no | — |
| 476 | #121 | — | 10 | 4 | no | — |
| 477 | C4×Q8 | — | 2 | 2 | no | — |
| 478 | C4×Q8 | — | 5 | 2 | no | — |
| 479 | C4×Q8 | — | 5 | 2 | no | — |
| 480 | C4×Q8 | — | 5 | 2 | no | — |
| 481 | C4×Q8 | — | 10 | 2 | no | — |
| 482 | C4×Q8 | — | 10 | 2 | no | — |
| 483 | C4×Q8 | C22×D5 | 1 | 2 | yes | — |
| 484 | C4×Q8 | C22×D5 | 1 | 4 | yes | — |
| 485 | C4×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 486 | C4×D4 | — | 5 | 4 | no | — |
| 487 | C4×D4 | — | 5 | 2 | no | — |
| 488 | C4×D4 | — | 5 | 1 | no | — |
| 489 | C4×D4 | — | 5 | 4 | no | — |
| 490 | C4×D4 | — | 10 | 4 | no | — |
| 491 | C4×D4 | — | 10 | 4 | no | — |
| 492 | C4×D4 | — | 10 | 2 | no | — |
| 493 | C4×D4 | — | 10 | 2 | no | — |
| 494 | C4×D4 | — | 10 | 4 | no | — |
| 495 | C4×D4 | — | 10 | 2 | no | — |
| 496 | C4×D4 | — | 10 | 2 | no | — |
| 497 | #117 | — | 5 | 2 | no | — |
| 498 | #117 | — | 10 | 4 | no | — |
| 499 | C2×C4⋊C4 | — | 5 | 2 | no | — |
| 500 | C2×C4⋊C4 | — | 5 | 4 | no | — |
| 501 | C2×C4⋊C4 | — | 10 | 4 | no | — |
| 502 | C2×C4⋊C4 | — | 10 | 2 | no | — |
| 503 | C2×C42 | — | 5 | 1 | no | — |
| 504 | C2×C42 | — | 10 | 2 | no | — |
| 505 | #107 | — | 5 | 1 | no | — |
| 506 | #107 | — | 5 | 2 | no | — |
| 507 | #107 | — | 5 | 4 | no | — |
| 508 | #107 | C22×D5 | 1 | 2 | yes | — |
| 509 | #107 | C22×D5 | 1 | 1 | yes | characteristic |
| 510 | #107 | C22×D5 | 1 | 2 | yes | — |
| 511 | #107 | C22×D5 | 1 | 4 | yes | — |
| 512 | C4⋊C8 | — | 5 | 1 | no | — |
| 513 | C4⋊C8 | — | 5 | 2 | no | — |
| 514 | C4⋊C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 515 | C4⋊C8 | C22×D5 | 1 | 2 | yes | — |
| 516 | #103 | — | 5 | 2 | no | — |
| 517 | #103 | — | 5 | 2 | no | — |
| 518 | #103 | — | 5 | 2 | no | — |
| 519 | #103 | — | 5 | 4 | no | — |
| 520 | #103 | C22×D5 | 1 | 2 | yes | — |
| 521 | #103 | C22×D5 | 1 | 4 | yes | — |
| 522 | #102 | — | 5 | 4 | no | — |
| 523 | #102 | — | 5 | 4 | no | — |
| 524 | #102 | — | 5 | 4 | no | — |
| 525 | #102 | — | 5 | 4 | no | — |
| 526 | C22⋊C8 | — | 5 | 2 | no | — |
| 527 | C22⋊C8 | — | 5 | 2 | no | — |
| 528 | C22⋊C8 | — | 5 | 2 | no | — |
| 529 | #97 | — | 5 | 2 | no | — |
| 530 | #97 | — | 5 | 2 | no | — |
| 531 | C4×C8 | — | 5 | 1 | no | — |
| 532 | C4×C8 | — | 5 | 1 | no | — |
| 533 | C4×C8 | — | 5 | 1 | no | — |
| 534 | C4×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 535 | C4×C8 | C22×D5 | 1 | 2 | yes | — |
| 536 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 537 | C2×D5 | — | 2 | 1 | no | — |
| 538 | C2×D5 | — | 2 | 1 | no | — |
| 539 | C2×D5 | — | 2 | 2 | no | — |
| 540 | C2×D5 | — | 2 | 2 | no | — |
| 541 | C2×D5 | — | 2 | 2 | no | — |
| 542 | C2×D5 | — | 4 | 4 | no | — |
| 543 | C2×D5 | — | 4 | 4 | no | — |
| 544 | C2×D5 | — | 4 | 4 | no | — |
| 545 | C2×D5 | #576 | 1 | 2 | yes | — |
| 546 | C4×C5 | — | 2 | 4 | no | — |
| 547 | C4×C5 | — | 2 | 1 | no | — |
| 548 | C4×C5 | — | 2 | 2 | no | — |
| 549 | C4×C5 | — | 2 | 2 | no | — |
| 550 | C4×C5 | — | 4 | 2 | no | — |
| 551 | C4×C5 | — | 4 | 4 | no | — |
| 552 | C4×C5 | #578 | 1 | 2 | yes | — |
| 553 | C4×C5 | C22×#41 | 1 | 1 | yes | characteristic |
| 554 | C4×C5 | #585 | 1 | 1 | yes | characteristic |
| 555 | Dic5 | — | 2 | 1 | no | — |
| 556 | Dic5 | — | 2 | 2 | no | — |
| 557 | Dic5 | — | 2 | 1 | no | — |
| 558 | Dic5 | — | 2 | 1 | no | — |
| 559 | Dic5 | — | 4 | 2 | no | — |
| 560 | Dic5 | — | 4 | 2 | no | — |
| 561 | #41 | — | 10 | 8 | no | — |
| 562 | #41 | — | 20 | 4 | no | — |
| 563 | #41 | — | 40 | 4 | no | — |
| 564 | #41 | — | 40 | 8 | no | — |
| 565 | C2×Q8 | — | 2 | 4 | no | — |
| 566 | C2×Q8 | — | 2 | 2 | no | — |
| 567 | C2×Q8 | — | 5 | 2 | no | — |
| 568 | C2×Q8 | — | 10 | 2 | no | — |
| 569 | C2×Q8 | — | 10 | 4 | no | — |
| 570 | C2×Q8 | — | 20 | 2 | no | — |
| 571 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 572 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 573 | C2×D4 | — | 5 | 1 | no | — |
| 574 | C2×D4 | — | 5 | 2 | no | — |
| 575 | C2×D4 | — | 5 | 4 | no | — |
| 576 | C2×D4 | — | 10 | 4 | no | — |
| 577 | C2×D4 | — | 10 | 4 | no | — |
| 578 | C2×D4 | — | 10 | 4 | no | — |
| 579 | C2×D4 | — | 10 | 2 | no | — |
| 580 | C2×D4 | — | 10 | 2 | no | — |
| 581 | C22×C4 | — | 5 | 1 | no | — |
| 582 | C22×C4 | — | 5 | 1 | no | — |
| 583 | C22×C4 | — | 5 | 1 | no | — |
| 584 | C22×C4 | — | 5 | 2 | no | — |
| 585 | C22×C4 | — | 10 | 4 | no | — |
| 586 | C22×C4 | — | 10 | 4 | no | — |
| 587 | C22×C4 | — | 10 | 2 | no | — |
| 588 | C22×C4 | — | 10 | 2 | no | — |
| 589 | C22×C4 | — | 10 | 4 | no | — |
| 590 | C22×C4 | — | 10 | 4 | no | — |
| 591 | Q16 | — | 10 | 4 | no | — |
| 592 | Q16 | — | 10 | 2 | no | — |
| 593 | Q16 | #713 | 1 | 4 | yes | complemented |
| 594 | SD16 | — | 10 | 8 | no | — |
| 595 | SD16 | — | 20 | 4 | no | — |
| 596 | D8 | — | 10 | 4 | no | — |
| 597 | D8 | — | 20 | 2 | no | — |
| 598 | M16 | — | 20 | 2 | no | — |
| 599 | C2×C8 | — | 5 | 1 | no | — |
| 600 | C2×C8 | — | 5 | 1 | no | — |
| 601 | C2×C8 | — | 5 | 2 | no | — |
| 602 | C2×C8 | — | 10 | 2 | no | — |
| 603 | C2×C8 | — | 10 | 4 | no | — |
| 604 | C2×C8 | — | 20 | 1 | no | — |
| 605 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 606 | C2×C8 | C23×D5 | 1 | 2 | yes | — |
| 607 | C2×C8 | C23×D5 | 1 | 1 | yes | characteristic |
| 608 | C4⋊C4 | — | 2 | 4 | no | — |
| 609 | C4⋊C4 | — | 2 | 2 | no | — |
| 610 | C4⋊C4 | — | 2 | 2 | no | — |
| 611 | C4⋊C4 | — | 2 | 4 | no | — |
| 612 | C4⋊C4 | — | 5 | 2 | no | — |
| 613 | C4⋊C4 | — | 5 | 2 | no | — |
| 614 | C4⋊C4 | — | 5 | 1 | no | — |
| 615 | C4⋊C4 | — | 5 | 2 | no | — |
| 616 | C4⋊C4 | — | 5 | 2 | no | — |
| 617 | C4⋊C4 | — | 10 | 4 | no | — |
| 618 | C4⋊C4 | — | 10 | 2 | no | — |
| 619 | C4⋊C4 | — | 10 | 2 | no | — |
| 620 | C4⋊C4 | — | 10 | 2 | no | — |
| 621 | C4⋊C4 | — | 10 | 4 | no | — |
| 622 | C4⋊C4 | — | 10 | 2 | no | — |
| 623 | C4⋊C4 | D4×D5 | 1 | 1 | yes | characteristic |
| 624 | C4⋊C4 | D4×D5 | 1 | 2 | yes | — |
| 625 | C4⋊C4 | C23×D5 | 1 | 4 | yes | — |
| 626 | C4⋊C4 | C23×D5 | 1 | 2 | yes | — |
| 627 | C22⋊C4 | — | 5 | 2 | no | — |
| 628 | C22⋊C4 | — | 5 | 2 | no | — |
| 629 | C22⋊C4 | — | 5 | 2 | no | — |
| 630 | C22⋊C4 | — | 5 | 2 | no | — |
| 631 | C22⋊C4 | — | 5 | 2 | no | — |
| 632 | C22⋊C4 | — | 10 | 4 | no | — |
| 633 | C22⋊C4 | — | 10 | 4 | no | — |
| 634 | C22⋊C4 | — | 10 | 4 | no | — |
| 635 | C22⋊C4 | — | 10 | 4 | no | — |
| 636 | C22⋊C4 | — | 10 | 4 | no | — |
| 637 | C22⋊C4 | — | 10 | 4 | no | — |
| 638 | C22⋊C4 | — | 10 | 4 | no | — |
| 639 | C42 | — | 2 | 2 | no | — |
| 640 | C42 | — | 2 | 4 | no | — |
| 641 | C42 | — | 5 | 1 | no | — |
| 642 | C42 | — | 5 | 1 | no | — |
| 643 | C42 | — | 5 | 1 | no | — |
| 644 | C42 | — | 10 | 2 | no | — |
| 645 | C42 | — | 10 | 2 | no | — |
| 646 | C42 | — | 10 | 2 | no | — |
| 647 | C42 | C23×D5 | 1 | 1 | yes | characteristic |
| 648 | C42 | C23×D5 | 1 | 2 | yes | — |
| 649 | C2×C5 | D4×#41 | 1 | 1 | yes | characteristic |
| 650 | C2×C5 | C2×#576 | 1 | 1 | yes | characteristic |
| 651 | C2×C5 | C2×#578 | 1 | 1 | yes | characteristic |
| 652 | D5 | — | 2 | 2 | no | — |
| 653 | D5 | — | 4 | 2 | no | — |
| 654 | D5 | — | 8 | 4 | no | — |
| 655 | C23 | — | 5 | 1 | no | — |
| 656 | C23 | — | 5 | 2 | no | — |
| 657 | C23 | — | 10 | 4 | no | — |
| 658 | Q8 | — | 2 | 2 | no | — |
| 659 | Q8 | — | 2 | 2 | no | — |
| 660 | Q8 | — | 8 | 2 | no | — |
| 661 | Q8 | — | 8 | 4 | no | — |
| 662 | Q8 | — | 10 | 2 | no | — |
| 663 | Q8 | — | 10 | 2 | no | — |
| 664 | Q8 | — | 20 | 4 | no | — |
| 665 | Q8 | C2×#713 | 1 | 4 | yes | — |
| 666 | D4 | — | 10 | 4 | no | — |
| 667 | D4 | — | 10 | 2 | no | — |
| 668 | D4 | — | 10 | 4 | no | — |
| 669 | D4 | — | 10 | 4 | no | — |
| 670 | D4 | — | 20 | 8 | no | — |
| 671 | D4 | — | 20 | 8 | no | — |
| 672 | D4 | — | 20 | 4 | no | — |
| 673 | D4 | — | 40 | 2 | no | — |
| 674 | D4 | — | 40 | 4 | no | — |
| 675 | C2×C4 | — | 2 | 2 | no | — |
| 676 | C2×C4 | — | 2 | 2 | no | — |
| 677 | C2×C4 | — | 2 | 4 | no | — |
| 678 | C2×C4 | — | 5 | 1 | no | — |
| 679 | C2×C4 | — | 5 | 1 | no | — |
| 680 | C2×C4 | — | 5 | 1 | no | — |
| 681 | C2×C4 | — | 5 | 2 | no | — |
| 682 | C2×C4 | — | 10 | 2 | no | — |
| 683 | C2×C4 | — | 10 | 2 | no | — |
| 684 | C2×C4 | — | 10 | 1 | no | — |
| 685 | C2×C4 | — | 10 | 2 | no | — |
| 686 | C2×C4 | — | 10 | 1 | no | — |
| 687 | C2×C4 | — | 10 | 2 | no | — |
| 688 | C2×C4 | — | 10 | 2 | no | — |
| 689 | C2×C4 | — | 10 | 2 | no | — |
| 690 | C2×C4 | — | 20 | 8 | no | — |
| 691 | C2×C4 | — | 20 | 4 | no | — |
| 692 | C2×C4 | — | 20 | 4 | no | — |
| 693 | C2×C4 | — | 40 | 4 | no | — |
| 694 | C2×C4 | — | 40 | 4 | no | — |
| 695 | C2×C4 | — | 40 | 4 | no | — |
| 696 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 697 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 698 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 699 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 700 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 701 | C8 | — | 2 | 1 | no | — |
| 702 | C8 | — | 2 | 2 | no | — |
| 703 | C8 | — | 10 | 2 | no | — |
| 704 | C8 | — | 10 | 1 | no | — |
| 705 | C8 | — | 10 | 1 | no | — |
| 706 | C8 | C2×#713 | 1 | 2 | yes | — |
| 707 | C5 | #61485 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 708 | C22 | — | 5 | 2 | no | — |
| 709 | C22 | — | 10 | 1 | no | — |
| 710 | C22 | — | 10 | 1 | no | — |
| 711 | C22 | — | 10 | 2 | no | — |
| 712 | C22 | — | 10 | 2 | no | — |
| 713 | C22 | — | 10 | 2 | no | — |
| 714 | C22 | — | 20 | 4 | no | — |
| 715 | C22 | — | 20 | 4 | no | — |
| 716 | C22 | — | 20 | 4 | no | — |
| 717 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 718 | C4 | — | 2 | 4 | no | — |
| 719 | C4 | — | 2 | 2 | no | — |
| 720 | C4 | — | 2 | 1 | no | — |
| 721 | C4 | — | 2 | 2 | no | — |
| 722 | C4 | — | 4 | 2 | no | — |
| 723 | C4 | — | 4 | 4 | no | — |
| 724 | C4 | — | 10 | 2 | no | — |
| 725 | C4 | — | 10 | 1 | no | — |
| 726 | C4 | — | 10 | 1 | no | — |
| 727 | C4 | — | 10 | 1 | no | — |
| 728 | C4 | — | 20 | 2 | no | — |
| 729 | C4 | — | 20 | 2 | no | — |
| 730 | C4 | #66100 | 1 | 2 | yes | — |
| 731 | C4 | C22×#713 | 1 | 1 | yes | characteristic |
| 732 | C4 | #66287 | 1 | 1 | yes | characteristic |
| 733 | C2 | — | 10 | 2 | no | — |
| 734 | C2 | — | 20 | 2 | no | — |
| 735 | C2 | — | 40 | 4 | no | — |
| 736 | C2 | D4×#713 | 1 | 1 | yes | characteristic |
| 737 | C2 | C2×#66100 | 1 | 1 | yes | characteristic |
| 738 | C2 | D5×#576 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10618944 | C2 | semidirect |
| 2. C5×Q8×Q16 | C2 | semidirect |
| 3. #10615439 | C2 | semidirect |
| 4. #10613678 | C2 | semidirect |
| 5. #10613677 | C2 | semidirect |
| 6. #10613666 | C2 | semidirect |
| 7. #10613664 | C2 | semidirect |
| 8. #10612855 | C2 | semidirect |
| 9. #10612852 | C2 | semidirect |
| 10. #10612828 | C2 | semidirect |
| 11. #10612825 | C2 | semidirect |
| 12. #10611646 | C2 | semidirect |
| 13. #10611634 | C2 | semidirect |
| 14. #10611465 | C2 | semidirect |
| 15. #10611463 | C2 | semidirect |
| 16. #10611452 | C2 | semidirect |
| 17. C4×D5×Q16 | C2 | semidirect |
| 201. Q8×Q16 | D5 | semidirect |
| 246. C5×Q16 | #41 | semidirect |
| 593. Q16 | #713 | semidirect |
| 707. C5 | #61485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10618944 | 2 |
| C5×Q8×Q16 | 2 |
| #10615439 | 2 |
| #10613678 | 2 |
| #10613677 | 2 |
| #10613666 | 2 |
| #10613664 | 2 |
| #10612855 | 2 |
| #10612852 | 2 |
| #10612828 | 2 |
| #10612825 | 2 |
| #10611646 | 2 |
| #10611634 | 2 |
| #10611465 | 2 |
| #10611463 | 2 |
| #10611452 | 2 |
| C4×D5×Q16 | 2 |
| #61485 | 5 |