← #13031185
Subgroups — #13031185
Order 1280.
1064 conjugacy classes of subgroups.
The subgroup lattice has 812 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10618020 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | D5⋊#423 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#65682 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10604586 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10604558 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10604518 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10604486 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10604444 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10604409 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C2×D5⋊M16 | — | 2 | 1 | no | — |
| 11 | C22×#700 | — | 2 | 1 | no | — |
| 12 | C5×#529 | C4 | 1 | 1 | yes | characteristic |
| 13 | #66040 | — | 2 | 1 | no | — |
| 14 | #66040 | — | 2 | 1 | no | — |
| 15 | #66025 | C4 | 1 | 1 | yes | characteristic |
| 16 | #66022 | C22 | 1 | 1 | yes | characteristic |
| 17 | #66014 | C4 | 1 | 1 | yes | characteristic |
| 18 | #66002 | C22 | 1 | 1 | yes | characteristic |
| 19 | #65990 | — | 2 | 1 | no | — |
| 20 | #65983 | — | 2 | 1 | no | — |
| 21 | #65961 | C4 | 1 | 1 | yes | characteristic |
| 22 | #65956 | C22 | 1 | 1 | yes | characteristic |
| 23 | #65940 | C4 | 1 | 1 | yes | characteristic |
| 24 | #65930 | C22 | 1 | 1 | yes | characteristic |
| 25 | #65912 | C22 | 1 | 1 | yes | characteristic |
| 26 | C4×#713 | C4 | 1 | 1 | yes | characteristic |
| 27 | #65882 | C22 | 1 | 1 | yes | characteristic |
| 28 | #65881 | — | 2 | 1 | no | — |
| 29 | C4×#711 | — | 2 | 1 | no | — |
| 30 | C4×#711 | C4 | 1 | 1 | yes | characteristic |
| 31 | #65862 | — | 2 | 1 | no | — |
| 32 | #65856 | — | 2 | 1 | no | — |
| 33 | #65813 | C4 | 1 | 1 | yes | characteristic |
| 34 | C2×C42×D5 | C22 | 1 | 1 | yes | characteristic |
| 35 | #65758 | — | 2 | 1 | no | — |
| 36 | #65758 | C22 | 1 | 2 | yes | — |
| 37 | C2×#4004 | — | 2 | 1 | no | — |
| 38 | C2×#4004 | C22 | 1 | 2 | yes | — |
| 39 | #65682 | — | 2 | 1 | no | — |
| 40 | #65682 | — | 2 | 1 | no | — |
| 41 | #65682 | C22 | 1 | 2 | yes | — |
| 42 | #65682 | C22 | 1 | 2 | yes | — |
| 43 | #65682 | C22 | 1 | 2 | yes | — |
| 44 | #65681 | — | 2 | 1 | no | — |
| 45 | D5⋊(C4⋊C8) | — | 2 | 1 | no | — |
| 46 | D5⋊(C4⋊C8) | C22 | 1 | 2 | yes | — |
| 47 | #64931 | C22 | 1 | 4 | yes | complemented |
| 48 | #64925 | C22 | 1 | 4 | yes | complemented |
| 49 | #64873 | C22 | 1 | 4 | yes | complemented |
| 50 | #64873 | C22 | 1 | 4 | yes | complemented |
| 51 | #17752 | — | 5 | 1 | no | maximal, Sylow |
| 52 | C2×#713 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | C2×#711 | — | 2 | 1 | no | — |
| 54 | C2×#711 | C2×C4 | 1 | 1 | yes | characteristic |
| 55 | C2×#709 | — | 2 | 1 | no | — |
| 56 | C22×C4×D5 | C2×C4 | 1 | 1 | yes | characteristic |
| 57 | C22×C4×D5 | D4 | 1 | 1 | yes | characteristic |
| 58 | C22×C4×D5 | D4 | 1 | 1 | yes | characteristic |
| 59 | C2×#704 | — | 2 | 2 | no | — |
| 60 | C22×#170 | — | 2 | 2 | no | — |
| 61 | D5⋊M16 | — | 4 | 4 | no | — |
| 62 | C2×#700 | — | 2 | 2 | no | — |
| 63 | C2×#700 | — | 2 | 2 | no | — |
| 64 | C2×#700 | — | 2 | 2 | no | — |
| 65 | C2×#700 | — | 4 | 4 | no | — |
| 66 | C2×D5⋊C8 | — | 2 | 2 | no | — |
| 67 | C5×#126 | — | 2 | 1 | no | — |
| 68 | C5×#125 | C2×C4 | 1 | 1 | yes | characteristic |
| 69 | C5×#124 | C2×C4 | 1 | 1 | yes | characteristic |
| 70 | C5×#123 | — | 2 | 1 | no | — |
| 71 | C5×C22⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 72 | C5×#121 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | C4×C5×Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 74 | C4×C5×D4 | — | 2 | 1 | no | — |
| 75 | C4×C5×D4 | C2×C4 | 1 | 1 | yes | characteristic |
| 76 | C5×#117 | — | 2 | 1 | no | — |
| 77 | C2×C42×C5 | C2×C4 | 1 | 1 | yes | characteristic |
| 78 | #4092 | C2×C4 | 1 | 1 | yes | characteristic |
| 79 | Q8×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | #4090 | C23 | 1 | 1 | yes | characteristic |
| 81 | #4086 | C23 | 1 | 1 | yes | characteristic |
| 82 | #4085 | — | 2 | 1 | no | — |
| 83 | #4084 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | #4083 | — | 2 | 1 | no | — |
| 85 | D4×Dic5 | — | 2 | 1 | no | — |
| 86 | D4×Dic5 | C2×C4 | 1 | 1 | yes | characteristic |
| 87 | #4076 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | #4075 | — | 2 | 1 | no | — |
| 89 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 90 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 91 | C4×C22⋊D5 | — | 2 | 1 | no | — |
| 92 | #4070 | C2×C4 | 1 | 1 | yes | characteristic |
| 93 | C2×C4×Dic5 | — | 2 | 1 | no | — |
| 94 | C2×C4×Dic5 | D4 | 1 | 1 | yes | characteristic |
| 95 | C2×C4×Dic5 | D4 | 1 | 1 | yes | characteristic |
| 96 | C2×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 97 | #4044 | — | 2 | 1 | no | — |
| 98 | #4043 | C2×C4 | 1 | 1 | yes | characteristic |
| 99 | #4042 | — | 2 | 1 | no | — |
| 100 | #4042 | — | 2 | 1 | no | — |
| 101 | #4042 | — | 2 | 1 | no | — |
| 102 | #4041 | C2×C4 | 1 | 1 | yes | characteristic |
| 103 | #4040 | — | 2 | 1 | no | — |
| 104 | #4040 | — | 2 | 1 | no | — |
| 105 | #4039 | — | 2 | 1 | no | — |
| 106 | #4039 | — | 2 | 1 | no | — |
| 107 | #4039 | — | 2 | 1 | no | — |
| 108 | #4039 | C2×C4 | 1 | 1 | yes | characteristic |
| 109 | #4038 | — | 2 | 1 | no | — |
| 110 | #4038 | — | 2 | 1 | no | — |
| 111 | #4038 | C2×C4 | 1 | 1 | yes | characteristic |
| 112 | #4038 | C2×C4 | 1 | 1 | yes | characteristic |
| 113 | #4035 | — | 2 | 1 | no | — |
| 114 | #4035 | — | 2 | 1 | no | — |
| 115 | #4034 | C23 | 1 | 1 | yes | characteristic |
| 116 | #4034 | C23 | 1 | 1 | yes | characteristic |
| 117 | #4033 | — | 2 | 1 | no | — |
| 118 | #4033 | — | 2 | 1 | no | — |
| 119 | #4033 | — | 2 | 1 | no | — |
| 120 | #4033 | C2×C4 | 1 | 1 | yes | characteristic |
| 121 | #4031 | — | 2 | 1 | no | — |
| 122 | #4031 | — | 2 | 1 | no | — |
| 123 | #4030 | — | 2 | 1 | no | — |
| 124 | #4030 | — | 2 | 1 | no | — |
| 125 | #4030 | — | 2 | 1 | no | — |
| 126 | #4029 | — | 2 | 1 | no | — |
| 127 | #4029 | — | 2 | 1 | no | — |
| 128 | #4028 | — | 2 | 1 | no | — |
| 129 | #4027 | — | 2 | 1 | no | — |
| 130 | #4027 | — | 2 | 1 | no | — |
| 131 | #4027 | — | 2 | 1 | no | — |
| 132 | #4027 | — | 2 | 1 | no | — |
| 133 | #4027 | — | 2 | 1 | no | — |
| 134 | #4027 | — | 2 | 1 | no | — |
| 135 | #4027 | — | 2 | 1 | no | — |
| 136 | #4025 | — | 2 | 1 | no | — |
| 137 | #4024 | — | 2 | 1 | no | — |
| 138 | #4023 | — | 2 | 1 | no | — |
| 139 | #4023 | — | 2 | 1 | no | — |
| 140 | #4023 | — | 2 | 1 | no | — |
| 141 | #4022 | — | 2 | 1 | no | — |
| 142 | #4021 | C2×C4 | 1 | 1 | yes | characteristic |
| 143 | C4×D20 | — | 2 | 1 | no | — |
| 144 | C4×D20 | C2×C4 | 1 | 1 | yes | characteristic |
| 145 | #4018 | — | 2 | 1 | no | — |
| 146 | #4018 | — | 2 | 1 | no | — |
| 147 | C42×D5 | — | 2 | 1 | no | — |
| 148 | C42×D5 | C2×C4 | 1 | 1 | yes | characteristic |
| 149 | C42×D5 | C2×C4 | 1 | 1 | yes | characteristic |
| 150 | C42×D5 | D4 | 1 | 1 | yes | characteristic |
| 151 | C42×D5 | D4 | 1 | 1 | yes | characteristic |
| 152 | C42×D5 | D4 | 1 | 1 | yes | characteristic |
| 153 | C42×D5 | D4 | 1 | 1 | yes | characteristic |
| 154 | C42×D5 | C23 | 1 | 1 | yes | characteristic |
| 155 | C42×D5 | C23 | 1 | 1 | yes | characteristic |
| 156 | #4016 | C2×C4 | 1 | 1 | yes | characteristic |
| 157 | C4×Dic10 | — | 2 | 1 | no | — |
| 158 | C4×Dic10 | C2×C4 | 1 | 1 | yes | characteristic |
| 159 | #4004 | — | 2 | 2 | no | — |
| 160 | #4004 | — | 2 | 2 | no | — |
| 161 | #4004 | — | 2 | 2 | no | — |
| 162 | #4004 | — | 2 | 2 | no | — |
| 163 | #4004 | C23 | 1 | 4 | yes | — |
| 164 | #4004 | C23 | 1 | 4 | yes | — |
| 165 | C4⋊#170 | — | 2 | 2 | no | — |
| 166 | C4⋊#170 | — | 2 | 2 | no | — |
| 167 | #3444 | — | 5 | 1 | no | — |
| 168 | C2×#423 | — | 5 | 1 | no | — |
| 169 | C2×#423 | — | 5 | 1 | no | — |
| 170 | #1561 | — | 5 | 2 | no | — |
| 171 | #1560 | — | 5 | 2 | no | — |
| 172 | #1550 | — | 5 | 2 | no | — |
| 173 | #1550 | — | 5 | 2 | no | — |
| 174 | #1547 | — | 5 | 2 | no | — |
| 175 | #1547 | — | 5 | 2 | no | — |
| 176 | C23×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 177 | C2×C5×Q8 | C22×C4 | 1 | 1 | yes | characteristic |
| 178 | C2×C5×D4 | — | 2 | 1 | no | — |
| 179 | C2×C5×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 180 | C22×C4×C5 | — | 2 | 1 | no | — |
| 181 | C22×C4×C5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 182 | C22×C4×C5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 183 | C22×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 184 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 185 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 186 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 187 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 188 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 189 | C22×Dic5 | — | 2 | 1 | no | — |
| 190 | C22×Dic5 | — | 2 | 1 | no | — |
| 191 | C22×Dic5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 192 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | #713 | — | 4 | 2 | no | — |
| 195 | #711 | — | 4 | 2 | no | — |
| 196 | #711 | — | 4 | 2 | no | — |
| 197 | #711 | — | 4 | 2 | no | — |
| 198 | #709 | — | 4 | 2 | no | — |
| 199 | #709 | — | 4 | 2 | no | — |
| 200 | C2×D20 | — | 2 | 1 | no | — |
| 201 | C2×D20 | — | 2 | 1 | no | — |
| 202 | C2×D20 | C22×C4 | 1 | 1 | yes | characteristic |
| 203 | C2×C4×D5 | — | 2 | 2 | no | — |
| 204 | C2×C4×D5 | — | 2 | 2 | no | — |
| 205 | C2×C4×D5 | — | 2 | 2 | no | — |
| 206 | C2×C4×D5 | — | 2 | 2 | no | — |
| 207 | C2×C4×D5 | — | 2 | 1 | no | — |
| 208 | C2×C4×D5 | — | 2 | 1 | no | — |
| 209 | C2×C4×D5 | — | 2 | 1 | no | — |
| 210 | C2×C4×D5 | — | 4 | 2 | no | — |
| 211 | C2×C4×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 212 | C2×C4×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 213 | C2×C4×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 214 | C2×C4×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 215 | C2×C4×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 216 | C2×C4×D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 217 | C2×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 218 | C2×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 219 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 220 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 221 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C2×Dic10 | — | 2 | 1 | no | — |
| 224 | C2×Dic10 | — | 2 | 1 | no | — |
| 225 | C2×Dic10 | C22×C4 | 1 | 1 | yes | characteristic |
| 226 | #704 | — | 4 | 4 | no | — |
| 227 | C2×#170 | — | 2 | 4 | no | — |
| 228 | C2×#170 | — | 2 | 4 | no | — |
| 229 | C2×#170 | — | 4 | 4 | no | — |
| 230 | #700 | — | 4 | 4 | no | — |
| 231 | #700 | — | 4 | 4 | no | — |
| 232 | #700 | — | 4 | 4 | no | — |
| 233 | D5⋊C8 | — | 4 | 4 | no | — |
| 234 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 235 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 236 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 237 | C5×C4⋊C4 | — | 2 | 1 | no | — |
| 238 | C5×C4⋊C4 | C22×C4 | 1 | 1 | yes | characteristic |
| 239 | C5×C4⋊C4 | C22×C4 | 1 | 1 | yes | characteristic |
| 240 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 241 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 242 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 243 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 244 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 245 | C42×C5 | — | 2 | 1 | no | — |
| 246 | C42×C5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 247 | C42×C5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 248 | C42×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 249 | C42×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 250 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 251 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 252 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 253 | #685 | — | 2 | 1 | no | — |
| 254 | #685 | — | 2 | 1 | no | — |
| 255 | #685 | — | 2 | 1 | no | — |
| 256 | #685 | — | 2 | 1 | no | — |
| 257 | #685 | — | 2 | 1 | no | — |
| 258 | #685 | — | 2 | 1 | no | — |
| 259 | #685 | — | 2 | 1 | no | — |
| 260 | #685 | — | 2 | 1 | no | — |
| 261 | #685 | — | 2 | 1 | no | — |
| 262 | #685 | — | 2 | 1 | no | — |
| 263 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 264 | C4⋊Dic5 | — | 2 | 1 | no | — |
| 265 | C4⋊Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 266 | C4⋊Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 267 | #683 | — | 2 | 1 | no | — |
| 268 | #683 | — | 2 | 1 | no | — |
| 269 | #683 | — | 2 | 1 | no | — |
| 270 | #683 | — | 2 | 1 | no | — |
| 271 | #683 | — | 2 | 1 | no | — |
| 272 | #683 | — | 2 | 1 | no | — |
| 273 | #683 | — | 2 | 1 | no | — |
| 274 | #683 | — | 2 | 1 | no | — |
| 275 | #683 | — | 2 | 1 | no | — |
| 276 | #683 | — | 2 | 1 | no | — |
| 277 | C4×Dic5 | — | 2 | 1 | no | — |
| 278 | C4×Dic5 | — | 2 | 1 | no | — |
| 279 | C4×Dic5 | — | 2 | 1 | no | — |
| 280 | C4×Dic5 | — | 2 | 1 | no | — |
| 281 | C4×Dic5 | — | 2 | 1 | no | — |
| 282 | C4×Dic5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 283 | C4×Dic5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 284 | C4×Dic5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 285 | C4×Dic5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 286 | C4×Dic5 | C22×C4 | 1 | 1 | yes | characteristic |
| 287 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 288 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 289 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 290 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 291 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 292 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 293 | C4×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 294 | C22×M16 | — | 10 | 1 | no | — |
| 295 | C22×M16 | — | 10 | 1 | no | — |
| 296 | #533 | — | 5 | 1 | no | — |
| 297 | #533 | — | 5 | 1 | no | — |
| 298 | #533 | — | 5 | 1 | no | — |
| 299 | #532 | — | 5 | 1 | no | — |
| 300 | #532 | — | 5 | 1 | no | — |
| 301 | #532 | — | 5 | 1 | no | — |
| 302 | #529 | — | 5 | 1 | no | — |
| 303 | #529 | — | 5 | 1 | no | — |
| 304 | #529 | — | 5 | 1 | no | — |
| 305 | #529 | — | 10 | 1 | no | — |
| 306 | #529 | — | 10 | 1 | no | — |
| 307 | #529 | — | 10 | 1 | no | — |
| 308 | #529 | — | 10 | 1 | no | — |
| 309 | #529 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 310 | #525 | — | 5 | 1 | no | — |
| 311 | #525 | — | 5 | 1 | no | — |
| 312 | #525 | — | 10 | 1 | no | — |
| 313 | #525 | — | 10 | 1 | no | — |
| 314 | C4×#41 | — | 5 | 1 | no | — |
| 315 | C4×#41 | — | 5 | 1 | no | — |
| 316 | C4×#41 | — | 10 | 1 | no | — |
| 317 | C4×#41 | — | 10 | 1 | no | — |
| 318 | C22×C42 | — | 5 | 1 | no | — |
| 319 | #423 | — | 5 | 2 | no | — |
| 320 | #423 | — | 5 | 2 | no | — |
| 321 | #423 | — | 5 | 2 | no | — |
| 322 | #423 | — | 5 | 2 | no | — |
| 323 | #423 | — | 10 | 1 | no | — |
| 324 | #423 | — | 10 | 1 | no | — |
| 325 | #423 | — | 10 | 1 | no | — |
| 326 | #423 | — | 10 | 1 | no | — |
| 327 | C2×C4⋊C8 | — | 5 | 2 | no | — |
| 328 | C2×C4⋊C8 | — | 5 | 2 | no | — |
| 329 | C2×C4⋊C8 | — | 10 | 1 | no | — |
| 330 | C2×C4⋊C8 | — | 10 | 1 | no | — |
| 331 | #333 | — | 5 | 4 | no | — |
| 332 | #332 | — | 5 | 4 | no | — |
| 333 | #332 | — | 5 | 4 | no | — |
| 334 | #331 | — | 5 | 4 | no | — |
| 335 | C23×C5 | — | 2 | 1 | no | — |
| 336 | C23×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 337 | C22×D5 | — | 2 | 2 | no | — |
| 338 | C22×D5 | — | 2 | 2 | no | — |
| 339 | C22×D5 | — | 2 | 1 | no | — |
| 340 | C22×D5 | — | 4 | 1 | no | — |
| 341 | C22×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 342 | C22×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 343 | C5×Q8 | — | 4 | 1 | no | — |
| 344 | C5×D4 | — | 4 | 1 | no | — |
| 345 | C5×D4 | — | 4 | 2 | no | — |
| 346 | C2×C4×C5 | — | 2 | 2 | no | — |
| 347 | C2×C4×C5 | — | 2 | 2 | no | — |
| 348 | C2×C4×C5 | — | 2 | 1 | no | — |
| 349 | C2×C4×C5 | — | 2 | 1 | no | — |
| 350 | C2×C4×C5 | — | 2 | 1 | no | — |
| 351 | C2×C4×C5 | — | 4 | 1 | no | — |
| 352 | C2×C4×C5 | — | 4 | 2 | no | — |
| 353 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 354 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 355 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 356 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 357 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 358 | C2×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 359 | C22⋊D5 | — | 4 | 2 | no | — |
| 360 | C22⋊D5 | — | 4 | 2 | no | — |
| 361 | C22⋊D5 | — | 4 | 2 | no | — |
| 362 | C22⋊D5 | — | 4 | 1 | no | — |
| 363 | C22⋊D5 | — | 4 | 1 | no | — |
| 364 | C22⋊D5 | — | 4 | 1 | no | — |
| 365 | C22⋊D5 | — | 4 | 1 | no | — |
| 366 | C2×Dic5 | — | 2 | 1 | no | — |
| 367 | C2×Dic5 | — | 2 | 1 | no | — |
| 368 | C2×Dic5 | — | 2 | 2 | no | — |
| 369 | C2×Dic5 | — | 2 | 1 | no | — |
| 370 | C2×Dic5 | — | 2 | 1 | no | — |
| 371 | C2×Dic5 | — | 2 | 1 | no | — |
| 372 | C2×Dic5 | — | 4 | 2 | no | — |
| 373 | C2×Dic5 | — | 4 | 2 | no | — |
| 374 | C2×Dic5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 375 | C2×Dic5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 376 | C2×Dic5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 377 | C2×Dic5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 378 | C2×Dic5 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 379 | C2×Dic5 | #137 | 1 | 2 | yes | — |
| 380 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 381 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 382 | D20 | — | 4 | 1 | no | — |
| 383 | D20 | — | 4 | 2 | no | — |
| 384 | D20 | — | 4 | 2 | no | — |
| 385 | C4×D5 | — | 2 | 2 | no | — |
| 386 | C4×D5 | — | 2 | 2 | no | — |
| 387 | C4×D5 | — | 2 | 1 | no | — |
| 388 | C4×D5 | — | 2 | 1 | no | — |
| 389 | C4×D5 | — | 2 | 1 | no | — |
| 390 | C4×D5 | — | 2 | 1 | no | — |
| 391 | C4×D5 | — | 2 | 1 | no | — |
| 392 | C4×D5 | — | 2 | 1 | no | — |
| 393 | C4×D5 | — | 2 | 2 | no | — |
| 394 | C4×D5 | — | 2 | 2 | no | — |
| 395 | C4×D5 | — | 2 | 2 | no | — |
| 396 | C4×D5 | — | 2 | 2 | no | — |
| 397 | C4×D5 | — | 4 | 1 | no | — |
| 398 | C4×D5 | — | 4 | 1 | no | — |
| 399 | C4×D5 | — | 4 | 2 | no | — |
| 400 | C4×D5 | — | 4 | 2 | no | — |
| 401 | C4×D5 | — | 4 | 2 | no | — |
| 402 | C4×D5 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 403 | C4×D5 | #137 | 1 | 2 | yes | — |
| 404 | Dic10 | — | 4 | 1 | no | — |
| 405 | Dic10 | — | 4 | 1 | no | — |
| 406 | Dic10 | — | 4 | 1 | no | — |
| 407 | Dic10 | — | 4 | 1 | no | — |
| 408 | Dic10 | — | 4 | 1 | no | — |
| 409 | #170 | — | 4 | 4 | no | — |
| 410 | #170 | — | 4 | 4 | no | — |
| 411 | C2×#41 | — | 5 | 1 | no | — |
| 412 | C2×#41 | — | 5 | 1 | no | — |
| 413 | C2×#41 | — | 10 | 1 | no | — |
| 414 | C2×#41 | — | 10 | 1 | no | — |
| 415 | C23×C4 | — | 5 | 1 | no | — |
| 416 | C23×C4 | — | 5 | 1 | no | — |
| 417 | C23×C4 | — | 5 | 1 | no | — |
| 418 | C2×M16 | — | 10 | 2 | no | — |
| 419 | C2×M16 | — | 10 | 2 | no | — |
| 420 | C2×M16 | — | 10 | 2 | no | — |
| 421 | C2×M16 | — | 10 | 2 | no | — |
| 422 | C2×M16 | — | 20 | 4 | no | — |
| 423 | C2×M16 | — | 20 | 4 | no | — |
| 424 | C22×C8 | — | 10 | 2 | no | — |
| 425 | C22×C8 | — | 10 | 2 | no | — |
| 426 | C4⋊Q8 | — | 5 | 1 | no | — |
| 427 | C4⋊Q8 | — | 5 | 1 | no | — |
| 428 | C4⋊Q8 | — | 5 | 1 | no | — |
| 429 | #127 | — | 5 | 1 | no | — |
| 430 | #126 | — | 2 | 1 | no | — |
| 431 | #126 | — | 10 | 1 | no | — |
| 432 | #126 | — | 10 | 1 | no | — |
| 433 | #126 | — | 10 | 1 | no | — |
| 434 | #125 | — | 5 | 1 | no | — |
| 435 | #125 | — | 10 | 1 | no | — |
| 436 | #125 | — | 10 | 1 | no | — |
| 437 | #125 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 438 | #124 | — | 5 | 1 | no | — |
| 439 | #124 | — | 10 | 1 | no | — |
| 440 | #124 | — | 10 | 1 | no | — |
| 441 | #124 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 442 | #123 | — | 2 | 1 | no | — |
| 443 | #123 | — | 10 | 1 | no | — |
| 444 | #123 | — | 10 | 1 | no | — |
| 445 | #123 | — | 10 | 1 | no | — |
| 446 | #123 | — | 10 | 1 | no | — |
| 447 | #123 | — | 10 | 1 | no | — |
| 448 | C22⋊Q8 | — | 5 | 1 | no | — |
| 449 | C22⋊Q8 | — | 5 | 1 | no | — |
| 450 | C22⋊Q8 | — | 5 | 1 | no | — |
| 451 | C22⋊Q8 | — | 10 | 1 | no | — |
| 452 | C22⋊Q8 | — | 10 | 1 | no | — |
| 453 | C22⋊Q8 | — | 10 | 1 | no | — |
| 454 | C22⋊Q8 | — | 10 | 1 | no | — |
| 455 | C22⋊Q8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 456 | #121 | — | 5 | 1 | no | — |
| 457 | #121 | — | 5 | 1 | no | — |
| 458 | #121 | — | 5 | 1 | no | — |
| 459 | #121 | — | 10 | 1 | no | — |
| 460 | #121 | — | 10 | 1 | no | — |
| 461 | #121 | — | 10 | 1 | no | — |
| 462 | #121 | — | 10 | 1 | no | — |
| 463 | #121 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 464 | #120 | — | 10 | 1 | no | — |
| 465 | #120 | — | 10 | 1 | no | — |
| 466 | C4×Q8 | — | 5 | 1 | no | — |
| 467 | C4×Q8 | — | 5 | 1 | no | — |
| 468 | C4×Q8 | — | 5 | 1 | no | — |
| 469 | C4×Q8 | — | 10 | 1 | no | — |
| 470 | C4×Q8 | — | 10 | 1 | no | — |
| 471 | C4×Q8 | — | 10 | 1 | no | — |
| 472 | C4×Q8 | — | 10 | 1 | no | — |
| 473 | C4×Q8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 474 | C4×D4 | — | 2 | 1 | no | — |
| 475 | C4×D4 | — | 5 | 1 | no | — |
| 476 | C4×D4 | — | 5 | 1 | no | — |
| 477 | C4×D4 | — | 5 | 1 | no | — |
| 478 | C4×D4 | — | 10 | 1 | no | — |
| 479 | C4×D4 | — | 10 | 1 | no | — |
| 480 | C4×D4 | — | 10 | 1 | no | — |
| 481 | C4×D4 | — | 10 | 1 | no | — |
| 482 | C4×D4 | — | 10 | 1 | no | — |
| 483 | C4×D4 | — | 10 | 1 | no | — |
| 484 | C4×D4 | — | 10 | 1 | no | — |
| 485 | C4×D4 | — | 10 | 1 | no | — |
| 486 | C4×D4 | — | 10 | 1 | no | — |
| 487 | C4×D4 | — | 10 | 1 | no | — |
| 488 | C4×D4 | — | 10 | 1 | no | — |
| 489 | C4×D4 | — | 10 | 1 | no | — |
| 490 | C4×D4 | — | 10 | 1 | no | — |
| 491 | C4×D4 | — | 10 | 1 | no | — |
| 492 | C4×D4 | — | 10 | 1 | no | — |
| 493 | C4×D4 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 494 | #117 | — | 2 | 1 | no | — |
| 495 | #117 | — | 5 | 1 | no | — |
| 496 | #117 | — | 5 | 1 | no | — |
| 497 | #117 | — | 10 | 1 | no | — |
| 498 | #117 | — | 10 | 1 | no | — |
| 499 | #117 | — | 10 | 1 | no | — |
| 500 | #117 | — | 10 | 1 | no | — |
| 501 | #117 | — | 10 | 1 | no | — |
| 502 | #117 | — | 10 | 1 | no | — |
| 503 | #117 | — | 10 | 1 | no | — |
| 504 | C2×C42 | — | 5 | 1 | no | — |
| 505 | C2×C42 | — | 5 | 1 | no | — |
| 506 | C2×C42 | — | 5 | 1 | no | — |
| 507 | C2×C42 | — | 5 | 1 | no | — |
| 508 | C2×C42 | — | 5 | 1 | no | — |
| 509 | C2×C42 | — | 5 | 1 | no | — |
| 510 | C2×C42 | — | 5 | 1 | no | — |
| 511 | C2×C42 | — | 5 | 1 | no | — |
| 512 | C2×C42 | — | 5 | 1 | no | — |
| 513 | C2×C42 | — | 5 | 1 | no | — |
| 514 | C2×C42 | — | 5 | 1 | no | — |
| 515 | C2×C42 | — | 10 | 1 | no | — |
| 516 | C2×C42 | — | 10 | 1 | no | — |
| 517 | C2×C42 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 518 | C4⋊C8 | — | 5 | 4 | no | — |
| 519 | C4⋊C8 | — | 5 | 4 | no | — |
| 520 | C4⋊C8 | — | 10 | 2 | no | — |
| 521 | C4⋊C8 | — | 10 | 2 | no | — |
| 522 | C4⋊C8 | — | 10 | 2 | no | — |
| 523 | C4⋊C8 | — | 10 | 2 | no | — |
| 524 | C4⋊C8 | — | 10 | 2 | no | — |
| 525 | C4⋊C8 | — | 10 | 2 | no | — |
| 526 | C22×C5 | — | 2 | 1 | no | — |
| 527 | C22×C5 | — | 2 | 1 | no | — |
| 528 | C22×C5 | — | 4 | 1 | no | — |
| 529 | C22×C5 | — | 4 | 1 | no | — |
| 530 | C22×C5 | — | 4 | 1 | no | — |
| 531 | C22×C5 | #417 | 1 | 2 | yes | — |
| 532 | C22×C5 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 533 | C2×D5 | — | 2 | 1 | no | — |
| 534 | C2×D5 | — | 2 | 1 | no | — |
| 535 | C2×D5 | — | 2 | 1 | no | — |
| 536 | C2×D5 | — | 2 | 1 | no | — |
| 537 | C2×D5 | — | 2 | 1 | no | — |
| 538 | C2×D5 | — | 4 | 4 | no | — |
| 539 | C2×D5 | — | 4 | 1 | no | — |
| 540 | C2×D5 | — | 4 | 1 | no | — |
| 541 | C2×D5 | — | 4 | 1 | no | — |
| 542 | C2×D5 | #417 | 1 | 2 | yes | — |
| 543 | C4×C5 | — | 2 | 1 | no | — |
| 544 | C4×C5 | — | 2 | 1 | no | — |
| 545 | C4×C5 | — | 2 | 1 | no | — |
| 546 | C4×C5 | — | 2 | 1 | no | — |
| 547 | C4×C5 | — | 2 | 1 | no | — |
| 548 | C4×C5 | — | 4 | 1 | no | — |
| 549 | C4×C5 | — | 4 | 1 | no | — |
| 550 | C4×C5 | — | 4 | 1 | no | — |
| 551 | C4×C5 | #417 | 1 | 2 | yes | — |
| 552 | Dic5 | — | 2 | 1 | no | — |
| 553 | Dic5 | — | 2 | 1 | no | — |
| 554 | Dic5 | — | 4 | 1 | no | — |
| 555 | Dic5 | — | 4 | 1 | no | — |
| 556 | Dic5 | — | 4 | 1 | no | — |
| 557 | Dic5 | #413 | 1 | 2 | yes | — |
| 558 | Dic5 | #417 | 1 | 2 | yes | — |
| 559 | Dic5 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 560 | Dic5 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 561 | Dic5 | C2×#137 | 1 | 1 | yes | characteristic |
| 562 | Dic5 | C2×#137 | 1 | 1 | yes | characteristic |
| 563 | C24 | — | 5 | 1 | no | — |
| 564 | #41 | — | 20 | 2 | no | — |
| 565 | #41 | — | 20 | 2 | no | — |
| 566 | #41 | — | 20 | 2 | no | — |
| 567 | #41 | — | 20 | 2 | no | — |
| 568 | #41 | — | 20 | 2 | no | — |
| 569 | #41 | — | 20 | 2 | no | — |
| 570 | C2×Q8 | — | 5 | 1 | no | — |
| 571 | C2×Q8 | — | 10 | 1 | no | — |
| 572 | C2×Q8 | — | 10 | 1 | no | — |
| 573 | C2×Q8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 574 | C2×D4 | — | 2 | 1 | no | — |
| 575 | C2×D4 | — | 5 | 1 | no | — |
| 576 | C2×D4 | — | 10 | 1 | no | — |
| 577 | C2×D4 | — | 10 | 1 | no | — |
| 578 | C2×D4 | — | 10 | 1 | no | — |
| 579 | C2×D4 | — | 10 | 1 | no | — |
| 580 | C2×D4 | — | 10 | 1 | no | — |
| 581 | C2×D4 | — | 10 | 1 | no | — |
| 582 | C2×D4 | — | 10 | 1 | no | — |
| 583 | C2×D4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 584 | C22×C4 | — | 2 | 1 | no | — |
| 585 | C22×C4 | — | 5 | 1 | no | — |
| 586 | C22×C4 | — | 5 | 1 | no | — |
| 587 | C22×C4 | — | 5 | 1 | no | — |
| 588 | C22×C4 | — | 5 | 1 | no | — |
| 589 | C22×C4 | — | 5 | 1 | no | — |
| 590 | C22×C4 | — | 5 | 1 | no | — |
| 591 | C22×C4 | — | 5 | 1 | no | — |
| 592 | C22×C4 | — | 5 | 1 | no | — |
| 593 | C22×C4 | — | 5 | 1 | no | — |
| 594 | C22×C4 | — | 5 | 1 | no | — |
| 595 | C22×C4 | — | 5 | 1 | no | — |
| 596 | C22×C4 | — | 5 | 1 | no | — |
| 597 | C22×C4 | — | 5 | 1 | no | — |
| 598 | C22×C4 | — | 5 | 1 | no | — |
| 599 | C22×C4 | — | 5 | 1 | no | — |
| 600 | C22×C4 | — | 10 | 2 | no | — |
| 601 | C22×C4 | — | 10 | 2 | no | — |
| 602 | C22×C4 | — | 10 | 2 | no | — |
| 603 | C22×C4 | — | 10 | 2 | no | — |
| 604 | C22×C4 | — | 10 | 1 | no | — |
| 605 | C22×C4 | — | 10 | 1 | no | — |
| 606 | C22×C4 | — | 10 | 1 | no | — |
| 607 | C22×C4 | — | 10 | 1 | no | — |
| 608 | C22×C4 | — | 10 | 1 | no | — |
| 609 | C22×C4 | — | 20 | 2 | no | — |
| 610 | C22×C4 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 611 | C22×C4 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 612 | C22×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 613 | M16 | — | 20 | 4 | no | — |
| 614 | M16 | — | 20 | 4 | no | — |
| 615 | M16 | — | 20 | 4 | no | — |
| 616 | M16 | — | 20 | 4 | no | — |
| 617 | C2×C8 | — | 10 | 4 | no | — |
| 618 | C2×C8 | — | 10 | 4 | no | — |
| 619 | C2×C8 | — | 20 | 4 | no | — |
| 620 | C2×C8 | — | 20 | 4 | no | — |
| 621 | C4⋊C4 | — | 2 | 1 | no | — |
| 622 | C4⋊C4 | — | 2 | 1 | no | — |
| 623 | C4⋊C4 | — | 2 | 1 | no | — |
| 624 | C4⋊C4 | — | 2 | 1 | no | — |
| 625 | C4⋊C4 | — | 5 | 1 | no | — |
| 626 | C4⋊C4 | — | 5 | 1 | no | — |
| 627 | C4⋊C4 | — | 10 | 1 | no | — |
| 628 | C4⋊C4 | — | 10 | 1 | no | — |
| 629 | C4⋊C4 | — | 10 | 1 | no | — |
| 630 | C4⋊C4 | — | 10 | 1 | no | — |
| 631 | C4⋊C4 | — | 10 | 1 | no | — |
| 632 | C4⋊C4 | — | 10 | 1 | no | — |
| 633 | C4⋊C4 | — | 10 | 1 | no | — |
| 634 | C4⋊C4 | — | 10 | 1 | no | — |
| 635 | C4⋊C4 | — | 10 | 1 | no | — |
| 636 | C4⋊C4 | — | 10 | 1 | no | — |
| 637 | C4⋊C4 | — | 10 | 1 | no | — |
| 638 | C4⋊C4 | — | 10 | 1 | no | — |
| 639 | C4⋊C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 640 | C4⋊C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 641 | C22⋊C4 | — | 2 | 1 | no | — |
| 642 | C22⋊C4 | — | 2 | 1 | no | — |
| 643 | C22⋊C4 | — | 2 | 1 | no | — |
| 644 | C22⋊C4 | — | 2 | 1 | no | — |
| 645 | C22⋊C4 | — | 2 | 1 | no | — |
| 646 | C22⋊C4 | — | 10 | 1 | no | — |
| 647 | C22⋊C4 | — | 10 | 1 | no | — |
| 648 | C22⋊C4 | — | 10 | 1 | no | — |
| 649 | C22⋊C4 | — | 10 | 1 | no | — |
| 650 | C22⋊C4 | — | 10 | 1 | no | — |
| 651 | C22⋊C4 | — | 10 | 1 | no | — |
| 652 | C22⋊C4 | — | 10 | 1 | no | — |
| 653 | C22⋊C4 | — | 10 | 1 | no | — |
| 654 | C22⋊C4 | — | 10 | 1 | no | — |
| 655 | C22⋊C4 | — | 10 | 1 | no | — |
| 656 | C22⋊C4 | — | 10 | 1 | no | — |
| 657 | C22⋊C4 | — | 10 | 1 | no | — |
| 658 | C22⋊C4 | — | 10 | 1 | no | — |
| 659 | C42 | — | 2 | 1 | no | — |
| 660 | C42 | — | 5 | 1 | no | — |
| 661 | C42 | — | 5 | 1 | no | — |
| 662 | C42 | — | 5 | 1 | no | — |
| 663 | C42 | — | 5 | 1 | no | — |
| 664 | C42 | — | 5 | 1 | no | — |
| 665 | C42 | — | 5 | 1 | no | — |
| 666 | C42 | — | 5 | 1 | no | — |
| 667 | C42 | — | 5 | 1 | no | — |
| 668 | C42 | — | 5 | 1 | no | — |
| 669 | C42 | — | 5 | 1 | no | — |
| 670 | C42 | — | 5 | 1 | no | — |
| 671 | C42 | — | 5 | 1 | no | — |
| 672 | C42 | — | 10 | 1 | no | — |
| 673 | C42 | — | 10 | 1 | no | — |
| 674 | C42 | — | 10 | 1 | no | — |
| 675 | C42 | — | 10 | 1 | no | — |
| 676 | C42 | — | 10 | 1 | no | — |
| 677 | C42 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 678 | C42 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 679 | C42 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 680 | C42 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 681 | C2×C5 | — | 2 | 2 | no | — |
| 682 | C2×C5 | — | 8 | 1 | no | — |
| 683 | C2×C5 | C2×#413 | 1 | 1 | yes | characteristic |
| 684 | C2×C5 | C2×#417 | 1 | 1 | yes | characteristic |
| 685 | C2×C5 | C2×#417 | 1 | 1 | yes | characteristic |
| 686 | D5 | — | 2 | 2 | no | — |
| 687 | D5 | — | 4 | 1 | no | — |
| 688 | D5 | — | 8 | 1 | no | — |
| 689 | C23 | — | 2 | 1 | no | — |
| 690 | C23 | — | 5 | 1 | no | — |
| 691 | C23 | — | 5 | 1 | no | — |
| 692 | C23 | — | 10 | 2 | no | — |
| 693 | C23 | — | 10 | 2 | no | — |
| 694 | C23 | — | 10 | 1 | no | — |
| 695 | C23 | — | 20 | 1 | no | — |
| 696 | C23 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 697 | Q8 | — | 4 | 1 | no | — |
| 698 | Q8 | — | 20 | 1 | no | — |
| 699 | Q8 | — | 20 | 1 | no | — |
| 700 | Q8 | — | 20 | 1 | no | — |
| 701 | Q8 | — | 20 | 1 | no | — |
| 702 | Q8 | — | 20 | 1 | no | — |
| 703 | D4 | — | 4 | 1 | no | — |
| 704 | D4 | — | 4 | 2 | no | — |
| 705 | D4 | — | 20 | 1 | no | — |
| 706 | D4 | — | 20 | 2 | no | — |
| 707 | D4 | — | 20 | 2 | no | — |
| 708 | D4 | — | 20 | 1 | no | — |
| 709 | D4 | — | 20 | 1 | no | — |
| 710 | D4 | — | 20 | 1 | no | — |
| 711 | D4 | — | 20 | 1 | no | — |
| 712 | D4 | — | 20 | 2 | no | — |
| 713 | D4 | — | 20 | 2 | no | — |
| 714 | D4 | — | 20 | 2 | no | — |
| 715 | C2×C4 | — | 2 | 2 | no | — |
| 716 | C2×C4 | — | 2 | 2 | no | — |
| 717 | C2×C4 | — | 2 | 1 | no | — |
| 718 | C2×C4 | — | 2 | 1 | no | — |
| 719 | C2×C4 | — | 2 | 1 | no | — |
| 720 | C2×C4 | — | 4 | 1 | no | — |
| 721 | C2×C4 | — | 4 | 2 | no | — |
| 722 | C2×C4 | — | 5 | 2 | no | — |
| 723 | C2×C4 | — | 5 | 2 | no | — |
| 724 | C2×C4 | — | 5 | 1 | no | — |
| 725 | C2×C4 | — | 5 | 1 | no | — |
| 726 | C2×C4 | — | 5 | 1 | no | — |
| 727 | C2×C4 | — | 5 | 1 | no | — |
| 728 | C2×C4 | — | 5 | 2 | no | — |
| 729 | C2×C4 | — | 5 | 2 | no | — |
| 730 | C2×C4 | — | 5 | 1 | no | — |
| 731 | C2×C4 | — | 5 | 1 | no | — |
| 732 | C2×C4 | — | 10 | 1 | no | — |
| 733 | C2×C4 | — | 10 | 1 | no | — |
| 734 | C2×C4 | — | 10 | 1 | no | — |
| 735 | C2×C4 | — | 10 | 2 | no | — |
| 736 | C2×C4 | — | 10 | 2 | no | — |
| 737 | C2×C4 | — | 10 | 1 | no | — |
| 738 | C2×C4 | — | 10 | 1 | no | — |
| 739 | C2×C4 | — | 10 | 1 | no | — |
| 740 | C2×C4 | — | 10 | 2 | no | — |
| 741 | C2×C4 | — | 10 | 2 | no | — |
| 742 | C2×C4 | — | 10 | 2 | no | — |
| 743 | C2×C4 | — | 10 | 1 | no | — |
| 744 | C2×C4 | — | 10 | 1 | no | — |
| 745 | C2×C4 | — | 10 | 2 | no | — |
| 746 | C2×C4 | — | 10 | 2 | no | — |
| 747 | C2×C4 | — | 10 | 1 | no | — |
| 748 | C2×C4 | — | 10 | 1 | no | — |
| 749 | C2×C4 | — | 10 | 1 | no | — |
| 750 | C2×C4 | — | 20 | 1 | no | — |
| 751 | C2×C4 | — | 20 | 1 | no | — |
| 752 | C2×C4 | — | 20 | 2 | no | — |
| 753 | C2×C4 | — | 20 | 2 | no | — |
| 754 | C2×C4 | — | 20 | 2 | no | — |
| 755 | C2×C4 | — | 20 | 2 | no | — |
| 756 | C2×C4 | — | 20 | 2 | no | — |
| 757 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 758 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 759 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 760 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 761 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 762 | C2×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 763 | C8 | — | 20 | 4 | no | — |
| 764 | C8 | — | 20 | 4 | no | — |
| 765 | C5 | #17752 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 766 | C22 | — | 2 | 1 | no | — |
| 767 | C22 | — | 2 | 1 | no | — |
| 768 | C22 | — | 4 | 1 | no | — |
| 769 | C22 | — | 4 | 1 | no | — |
| 770 | C22 | — | 4 | 1 | no | — |
| 771 | C22 | — | 5 | 2 | no | — |
| 772 | C22 | — | 10 | 1 | no | — |
| 773 | C22 | — | 10 | 1 | no | — |
| 774 | C22 | — | 10 | 1 | no | — |
| 775 | C22 | — | 10 | 1 | no | — |
| 776 | C22 | — | 10 | 1 | no | — |
| 777 | C22 | — | 20 | 4 | no | — |
| 778 | C22 | — | 20 | 1 | no | — |
| 779 | C22 | — | 20 | 1 | no | — |
| 780 | C22 | — | 20 | 1 | no | — |
| 781 | C22 | #65793 | 1 | 2 | yes | — |
| 782 | C22 | C22×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 783 | C4 | — | 2 | 1 | no | — |
| 784 | C4 | — | 2 | 1 | no | — |
| 785 | C4 | — | 2 | 1 | no | — |
| 786 | C4 | — | 2 | 1 | no | — |
| 787 | C4 | — | 2 | 1 | no | — |
| 788 | C4 | — | 4 | 1 | no | — |
| 789 | C4 | — | 4 | 1 | no | — |
| 790 | C4 | — | 4 | 1 | no | — |
| 791 | C4 | — | 5 | 1 | no | — |
| 792 | C4 | — | 5 | 1 | no | — |
| 793 | C4 | — | 5 | 2 | no | — |
| 794 | C4 | — | 5 | 1 | no | — |
| 795 | C4 | — | 5 | 1 | no | — |
| 796 | C4 | — | 5 | 2 | no | — |
| 797 | C4 | — | 10 | 1 | no | — |
| 798 | C4 | — | 10 | 1 | no | — |
| 799 | C4 | — | 20 | 1 | no | — |
| 800 | C4 | — | 20 | 1 | no | — |
| 801 | C4 | — | 20 | 1 | no | — |
| 802 | C4 | #65793 | 1 | 2 | yes | — |
| 803 | C2 | — | 2 | 2 | no | — |
| 804 | C2 | — | 8 | 1 | no | — |
| 805 | C2 | — | 10 | 2 | no | — |
| 806 | C2 | — | 20 | 1 | no | — |
| 807 | C2 | — | 40 | 1 | no | — |
| 808 | C2 | C2×#65793 | 1 | 1 | yes | characteristic |
| 809 | C2 | C2×#65793 | 1 | 1 | yes | characteristic |
| 810 | C2 | D5⋊#413 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta