Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
6640 conjugacy classes of subgroups.
The subgroup lattice has 834 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C5×#3529 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10619017 | C2 | 1 | 6 | yes | maximal, complemented |
| 3 | #10618995 | C2 | 1 | 6 | yes | maximal, complemented |
| 4 | #10618994 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #10618986 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10618971 | C2 | 1 | 12 | yes | maximal, complemented |
| 7 | #10618149 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #10618120 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #10618033 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | #10618020 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | #10617949 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #10617919 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | C5×#563 | C22 | 1 | 3 | yes | complemented |
| 14 | C5×#562 | C22 | 1 | 6 | yes | complemented |
| 15 | C5×H(3,𝔽4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | C5×#560 | C22 | 1 | 6 | yes | complemented |
| 17 | C5×#532 | C22 | 1 | 3 | yes | — |
| 18 | C5×#529 | C22 | 1 | 6 | yes | complemented |
| 19 | C5×#525 | C22 | 1 | 6 | yes | complemented |
| 20 | #66166 | C22 | 1 | 6 | yes | — |
| 21 | #66162 | C22 | 1 | 3 | yes | complemented |
| 22 | #66162 | C22 | 1 | 3 | yes | complemented |
| 23 | #41×Dic5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #41×Dic5 | C22 | 1 | 3 | yes | complemented |
| 25 | #66125 | C22 | 1 | 6 | yes | complemented |
| 26 | C22×C4×Dic5 | C22 | 1 | 2 | yes | complemented |
| 27 | #66069 | C22 | 1 | 6 | yes | complemented |
| 28 | #66062 | C22 | 1 | 6 | yes | complemented |
| 29 | #66054 | C22 | 1 | 6 | yes | complemented |
| 30 | #66050 | C22 | 1 | 6 | yes | — |
| 31 | #66046 | C22 | 1 | 12 | yes | complemented |
| 32 | #66046 | C22 | 1 | 12 | yes | complemented |
| 33 | #66040 | C22 | 1 | 12 | yes | complemented |
| 34 | #66040 | C22 | 1 | 12 | yes | complemented |
| 35 | #66033 | C22 | 1 | 6 | yes | complemented |
| 36 | #66025 | C22 | 1 | 6 | yes | complemented |
| 37 | #66022 | C22 | 1 | 6 | yes | complemented |
| 38 | C5⋊#564 | C22 | 1 | 6 | yes | complemented |
| 39 | #66018 | C22 | 1 | 6 | yes | complemented |
| 40 | #66018 | C22 | 1 | 6 | yes | complemented |
| 41 | #66017 | C22 | 1 | 3 | yes | complemented |
| 42 | #66014 | C22 | 1 | 6 | yes | complemented |
| 43 | #66014 | C22 | 1 | 6 | yes | complemented |
| 44 | #66014 | C22 | 1 | 6 | yes | complemented |
| 45 | #66006 | C22 | 1 | 3 | yes | complemented |
| 46 | #66006 | C22 | 1 | 6 | yes | complemented |
| 47 | #66002 | C22 | 1 | 6 | yes | — |
| 48 | #66001 | C22 | 1 | 12 | yes | complemented |
| 49 | #66001 | C22 | 1 | 12 | yes | complemented |
| 50 | #66000 | C22 | 1 | 6 | yes | complemented |
| 51 | #65990 | C22 | 1 | 12 | yes | complemented |
| 52 | #65985 | C22 | 1 | 12 | yes | complemented |
| 53 | #65985 | C22 | 1 | 6 | yes | complemented |
| 54 | #65983 | C22 | 1 | 12 | yes | complemented |
| 55 | #65983 | C22 | 1 | 12 | yes | complemented |
| 56 | #65983 | C22 | 1 | 12 | yes | complemented |
| 57 | #65981 | C22 | 1 | 12 | yes | complemented |
| 58 | #65980 | C22 | 1 | 12 | yes | complemented |
| 59 | #65980 | C22 | 1 | 12 | yes | complemented |
| 60 | #65961 | C22 | 1 | 6 | yes | complemented |
| 61 | #65958 | C22 | 1 | 12 | yes | complemented |
| 62 | #65956 | C22 | 1 | 12 | yes | complemented |
| 63 | #65956 | C22 | 1 | 6 | yes | complemented |
| 64 | #65955 | C22 | 1 | 12 | yes | complemented |
| 65 | #65955 | C22 | 1 | 12 | yes | complemented |
| 66 | #65955 | C22 | 1 | 12 | yes | complemented |
| 67 | #65954 | C22 | 1 | 12 | yes | complemented |
| 68 | #65954 | C22 | 1 | 12 | yes | complemented |
| 69 | #65940 | C22 | 1 | 12 | yes | complemented |
| 70 | #65940 | C22 | 1 | 6 | yes | complemented |
| 71 | #65934 | C22 | 1 | 12 | yes | complemented |
| 72 | #65934 | C22 | 1 | 12 | yes | complemented |
| 73 | #65930 | C22 | 1 | 12 | yes | — |
| 74 | #65930 | C22 | 1 | 6 | yes | — |
| 75 | #65929 | C22 | 1 | 6 | yes | complemented |
| 76 | #65929 | C22 | 1 | 12 | yes | complemented |
| 77 | #65928 | C22 | 1 | 6 | yes | complemented |
| 78 | #65920 | C22 | 1 | 12 | yes | complemented |
| 79 | #65920 | C22 | 1 | 12 | yes | complemented |
| 80 | #65912 | C22 | 1 | 6 | yes | complemented |
| 81 | C4×#713 | C22 | 1 | 2 | yes | complemented |
| 82 | #65891 | C22 | 1 | 12 | yes | complemented |
| 83 | #65882 | C22 | 1 | 6 | yes | — |
| 84 | #65881 | C22 | 1 | 12 | yes | complemented |
| 85 | #65872 | C22 | 1 | 12 | yes | complemented |
| 86 | #65872 | C22 | 1 | 12 | yes | complemented |
| 87 | C4×#711 | C22 | 1 | 12 | yes | complemented |
| 88 | C4×#711 | C22 | 1 | 6 | yes | complemented |
| 89 | #65862 | C22 | 1 | 12 | yes | complemented |
| 90 | #65856 | C22 | 1 | 6 | yes | complemented |
| 91 | #65851 | C22 | 1 | 6 | yes | complemented |
| 92 | #65813 | C22 | 1 | 6 | yes | complemented |
| 93 | C2×C42×D5 | C22 | 1 | 3 | yes | complemented |
| 94 | #65804 | C22 | 1 | 3 | yes | complemented |
| 95 | #62694 | — | 5 | 1 | no | maximal, Sylow |
| 96 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×C5×#41 | C23 | 1 | 3 | yes | — |
| 98 | C23×C4×C5 | C23 | 1 | 2 | yes | — |
| 99 | C23×Dic5 | C23 | 1 | 4 | yes | — |
| 100 | C2×#713 | C23 | 1 | 2 | yes | — |
| 101 | C2×#711 | C23 | 1 | 12 | yes | — |
| 102 | C2×#711 | C23 | 1 | 6 | yes | — |
| 103 | C2×#709 | C23 | 1 | 6 | yes | — |
| 104 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 105 | C22×C4×D5 | C23 | 1 | 6 | yes | — |
| 106 | C5×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 107 | C5×#127 | C23 | 1 | 3 | yes | — |
| 108 | C5×#126 | C23 | 1 | 12 | yes | — |
| 109 | C5×#125 | C23 | 1 | 6 | yes | — |
| 110 | C5×#124 | C23 | 1 | 6 | yes | — |
| 111 | C5×#124 | C23 | 1 | 3 | yes | — |
| 112 | C5×#124 | C23 | 1 | 3 | yes | — |
| 113 | C5×#123 | C23 | 1 | 6 | yes | — |
| 114 | C5×#123 | C23 | 1 | 6 | yes | — |
| 115 | C5×#123 | C23 | 1 | 12 | yes | — |
| 116 | C5×C22⋊Q8 | C23 | 1 | 12 | yes | — |
| 117 | C5×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 118 | C5×#121 | C23 | 1 | 12 | yes | — |
| 119 | C5×#121 | C23 | 1 | 6 | yes | — |
| 120 | C5×#121 | C23 | 1 | 12 | yes | — |
| 121 | C5×#120 | C23 | 1 | 6 | yes | — |
| 122 | C5×#120 | C23 | 1 | 6 | yes | — |
| 123 | C4×C5×Q8 | C23 | 1 | 2 | yes | — |
| 124 | C4×C5×D4 | C23 | 1 | 6 | yes | — |
| 125 | C4×C5×D4 | C23 | 1 | 12 | yes | — |
| 126 | C5×#117 | C23 | 1 | 6 | yes | — |
| 127 | C2×C42×C5 | C23 | 1 | 3 | yes | — |
| 128 | #4099 | C23 | 1 | 12 | yes | — |
| 129 | #4093 | C23 | 1 | 6 | yes | — |
| 130 | #4092 | C23 | 1 | 6 | yes | — |
| 131 | #4092 | C23 | 1 | 6 | yes | — |
| 132 | #4092 | C23 | 1 | 6 | yes | — |
| 133 | Q8×Dic5 | C23 | 1 | 2 | yes | — |
| 134 | Q8×Dic5 | C23 | 1 | 6 | yes | — |
| 135 | Q8×Dic5 | C23 | 1 | 2 | yes | — |
| 136 | #4090 | C23 | 1 | 6 | yes | — |
| 137 | #4090 | C23 | 1 | 6 | yes | — |
| 138 | #4086 | C23 | 1 | 6 | yes | — |
| 139 | #4086 | C23 | 1 | 6 | yes | — |
| 140 | #4085 | C23 | 1 | 12 | yes | — |
| 141 | #4085 | C23 | 1 | 12 | yes | — |
| 142 | #4085 | C23 | 1 | 12 | yes | — |
| 143 | #4085 | C23 | 1 | 12 | yes | — |
| 144 | #4085 | C23 | 1 | 12 | yes | — |
| 145 | #4084 | C23 | 1 | 12 | yes | — |
| 146 | #4084 | C23 | 1 | 6 | yes | — |
| 147 | #4084 | C23 | 1 | 6 | yes | — |
| 148 | #4084 | C23 | 1 | 6 | yes | — |
| 149 | #4083 | C23 | 1 | 12 | yes | — |
| 150 | #4083 | C23 | 1 | 6 | yes | — |
| 151 | #4083 | C23 | 1 | 6 | yes | — |
| 152 | #4082 | C23 | 1 | 12 | yes | — |
| 153 | #4082 | C23 | 1 | 6 | yes | — |
| 154 | #4081 | C23 | 1 | 12 | yes | — |
| 155 | #4081 | C23 | 1 | 6 | yes | — |
| 156 | #4081 | C23 | 1 | 12 | yes | — |
| 157 | #4081 | C23 | 1 | 6 | yes | — |
| 158 | D4×Dic5 | C23 | 1 | 12 | yes | — |
| 159 | D4×Dic5 | C23 | 1 | 6 | yes | — |
| 160 | D4×Dic5 | C23 | 1 | 6 | yes | — |
| 161 | D4×Dic5 | C23 | 1 | 6 | yes | — |
| 162 | D4×Dic5 | C23 | 1 | 12 | yes | — |
| 163 | #4076 | C23 | 1 | 6 | yes | — |
| 164 | #4076 | C23 | 1 | 12 | yes | — |
| 165 | #4075 | C23 | 1 | 12 | yes | — |
| 166 | #4075 | C23 | 1 | 12 | yes | — |
| 167 | C4×C22⋊D5 | C23 | 1 | 12 | yes | — |
| 168 | C4×C22⋊D5 | C23 | 1 | 12 | yes | — |
| 169 | C4×C22⋊D5 | C23 | 1 | 12 | yes | — |
| 170 | #4072 | C23 | 1 | 3 | yes | — |
| 171 | #4072 | C23 | 1 | 3 | yes | — |
| 172 | #4072 | C23 | 1 | 6 | yes | — |
| 173 | #4070 | C23 | 1 | 12 | yes | — |
| 174 | #4070 | C23 | 1 | 6 | yes | — |
| 175 | #4070 | C23 | 1 | 12 | yes | — |
| 176 | C2×C4×Dic5 | C23 | 1 | 3 | yes | — |
| 177 | C2×C4×Dic5 | C23 | 1 | 6 | yes | — |
| 178 | C2×C4×Dic5 | C23 | 1 | 6 | yes | — |
| 179 | C2×C4×Dic5 | C23 | 1 | 6 | yes | — |
| 180 | C2×C4×Dic5 | C23 | 1 | 12 | yes | — |
| 181 | #4044 | C23 | 1 | 12 | yes | — |
| 182 | #4044 | C23 | 1 | 12 | yes | — |
| 183 | #4044 | C23 | 1 | 12 | yes | — |
| 184 | #4043 | C23 | 1 | 12 | yes | — |
| 185 | #4043 | C23 | 1 | 6 | yes | — |
| 186 | #4042 | C23 | 1 | 12 | yes | — |
| 187 | #4042 | C23 | 1 | 12 | yes | — |
| 188 | #4042 | C23 | 1 | 12 | yes | — |
| 189 | #4041 | C23 | 1 | 6 | yes | — |
| 190 | #4040 | C23 | 1 | 12 | yes | — |
| 191 | #4040 | C23 | 1 | 12 | yes | — |
| 192 | #4039 | C23 | 1 | 12 | yes | — |
| 193 | #4039 | C23 | 1 | 6 | yes | — |
| 194 | #4038 | C23 | 1 | 12 | yes | — |
| 195 | #4038 | C23 | 1 | 6 | yes | — |
| 196 | #4038 | C23 | 1 | 6 | yes | — |
| 197 | #4036 | C23 | 1 | 12 | yes | — |
| 198 | #4036 | C23 | 1 | 12 | yes | — |
| 199 | #4035 | C23 | 1 | 12 | yes | — |
| 200 | #4035 | C23 | 1 | 12 | yes | — |
| 201 | #4035 | C23 | 1 | 12 | yes | — |
| 202 | #4035 | C23 | 1 | 12 | yes | — |
| 203 | #4034 | C23 | 1 | 12 | yes | — |
| 204 | #4034 | C23 | 1 | 6 | yes | — |
| 205 | #4034 | C23 | 1 | 6 | yes | — |
| 206 | #4033 | C23 | 1 | 12 | yes | — |
| 207 | #4033 | C23 | 1 | 12 | yes | — |
| 208 | #4033 | C23 | 1 | 6 | yes | — |
| 209 | #4032 | C23 | 1 | 12 | yes | — |
| 210 | #4032 | C23 | 1 | 12 | yes | — |
| 211 | #4031 | C23 | 1 | 12 | yes | — |
| 212 | #4031 | C23 | 1 | 12 | yes | — |
| 213 | #4031 | C23 | 1 | 12 | yes | — |
| 214 | #4031 | C23 | 1 | 12 | yes | — |
| 215 | #4030 | C23 | 1 | 12 | yes | — |
| 216 | #4030 | C23 | 1 | 12 | yes | — |
| 217 | #4030 | C23 | 1 | 12 | yes | — |
| 218 | #4029 | C23 | 1 | 12 | yes | — |
| 219 | #4029 | C23 | 1 | 12 | yes | — |
| 220 | #4029 | C23 | 1 | 12 | yes | — |
| 221 | #4029 | C23 | 1 | 12 | yes | — |
| 222 | #4028 | C23 | 1 | 12 | yes | — |
| 223 | #4027 | C23 | 1 | 12 | yes | — |
| 224 | #4027 | C23 | 1 | 12 | yes | — |
| 225 | #4027 | C23 | 1 | 12 | yes | — |
| 226 | #4027 | C23 | 1 | 12 | yes | — |
| 227 | #4027 | C23 | 1 | 12 | yes | — |
| 228 | #4025 | C23 | 1 | 12 | yes | — |
| 229 | #4025 | C23 | 1 | 12 | yes | — |
| 230 | #4025 | C23 | 1 | 12 | yes | — |
| 231 | #4025 | C23 | 1 | 12 | yes | — |
| 232 | #4025 | C23 | 1 | 12 | yes | — |
| 233 | #4024 | C23 | 1 | 12 | yes | — |
| 234 | #4024 | C23 | 1 | 12 | yes | — |
| 235 | #4024 | C23 | 1 | 12 | yes | — |
| 236 | #4024 | C23 | 1 | 12 | yes | — |
| 237 | #4024 | C23 | 1 | 12 | yes | — |
| 238 | #4023 | C23 | 1 | 12 | yes | — |
| 239 | #4023 | C23 | 1 | 12 | yes | — |
| 240 | #4023 | C23 | 1 | 12 | yes | — |
| 241 | #4022 | C23 | 1 | 12 | yes | — |
| 242 | #4021 | C23 | 1 | 6 | yes | — |
| 243 | C4×D20 | C23 | 1 | 6 | yes | — |
| 244 | #4018 | C23 | 1 | 12 | yes | — |
| 245 | C42×D5 | C23 | 1 | 6 | yes | — |
| 246 | C42×D5 | C23 | 1 | 6 | yes | — |
| 247 | C42×D5 | C23 | 1 | 6 | yes | — |
| 248 | C42×D5 | C23 | 1 | 6 | yes | — |
| 249 | #4016 | C23 | 1 | 6 | yes | — |
| 250 | #4016 | C23 | 1 | 6 | yes | — |
| 251 | #4015 | C23 | 1 | 6 | yes | — |
| 252 | C4×Dic10 | C23 | 1 | 12 | yes | — |
| 253 | C4×Dic10 | C23 | 1 | 6 | yes | — |
| 254 | #3531 | — | 5 | 6 | no | — |
| 255 | #3531 | — | 5 | 6 | no | — |
| 256 | #3531 | — | 5 | 6 | no | — |
| 257 | #3529 | — | 5 | 6 | no | — |
| 258 | #3529 | — | 5 | 2 | no | — |
| 259 | #3529 | — | 5 | 12 | no | — |
| 260 | #3529 | — | 5 | 3 | no | — |
| 261 | #3529 | — | 5 | 6 | no | — |
| 262 | #3529 | D5 | 1 | 1 | yes | characteristic, complemented |
| 263 | #3444 | — | 5 | 3 | no | — |
| 264 | #3444 | — | 5 | 6 | no | — |
| 265 | #3444 | — | 5 | 6 | no | — |
| 266 | C24×C5 | C24 | 1 | 2 | yes | — |
| 267 | C23×D5 | C24 | 1 | 3 | yes | — |
| 268 | C5×#41 | — | 4 | 2 | no | — |
| 269 | C5×#41 | — | 4 | 6 | no | — |
| 270 | C2×C5×Q8 | C24 | 1 | 2 | yes | — |
| 271 | C2×C5×Q8 | C24 | 1 | 3 | yes | — |
| 272 | C2×C5×Q8 | C24 | 1 | 1 | yes | characteristic |
| 273 | C2×C5×D4 | C24 | 1 | 6 | yes | — |
| 274 | C2×C5×D4 | C24 | 1 | 12 | yes | — |
| 275 | C2×C5×D4 | C24 | 1 | 3 | yes | — |
| 276 | C2×C5×D4 | C24 | 1 | 6 | yes | — |
| 277 | C2×C5×D4 | C24 | 1 | 3 | yes | — |
| 278 | C22×C4×C5 | — | 4 | 4 | no | — |
| 279 | C22×C4×C5 | C24 | 1 | 3 | yes | — |
| 280 | C22×C4×C5 | C24 | 1 | 6 | yes | — |
| 281 | C22×C4×C5 | C24 | 1 | 6 | yes | — |
| 282 | C22×C4×C5 | C24 | 1 | 6 | yes | — |
| 283 | C2×C22⋊D5 | C24 | 1 | 12 | yes | — |
| 284 | C2×C22⋊D5 | C24 | 1 | 12 | yes | — |
| 285 | C2×C22⋊D5 | C24 | 1 | 12 | yes | — |
| 286 | C2×C22⋊D5 | C24 | 1 | 12 | yes | — |
| 287 | C22×Dic5 | — | 4 | 8 | no | — |
| 288 | C22×Dic5 | C24 | 1 | 6 | yes | — |
| 289 | C22×Dic5 | C24 | 1 | 12 | yes | — |
| 290 | C22×Dic5 | C24 | 1 | 3 | yes | — |
| 291 | C22×Dic5 | C24 | 1 | 12 | yes | — |
| 292 | #713 | — | 4 | 4 | no | — |
| 293 | #711 | — | 4 | 24 | no | — |
| 294 | #711 | — | 4 | 12 | no | — |
| 295 | #709 | — | 4 | 12 | no | — |
| 296 | C2×D20 | C24 | 1 | 6 | yes | — |
| 297 | C2×D20 | C24 | 1 | 6 | yes | — |
| 298 | C2×C4×D5 | — | 4 | 12 | no | — |
| 299 | C2×C4×D5 | — | 4 | 6 | no | — |
| 300 | C2×C4×D5 | C24 | 1 | 6 | yes | — |
| 301 | C2×C4×D5 | C24 | 1 | 6 | yes | — |
| 302 | C2×C4×D5 | C24 | 1 | 6 | yes | — |
| 303 | C2×C4×D5 | C24 | 1 | 6 | yes | — |
| 304 | C2×C4×D5 | C24 | 1 | 6 | yes | — |
| 305 | C2×C4×D5 | C24 | 1 | 6 | yes | — |
| 306 | C2×Dic10 | C24 | 1 | 6 | yes | — |
| 307 | C2×Dic10 | C24 | 1 | 12 | yes | — |
| 308 | C2×Dic10 | C24 | 1 | 6 | yes | — |
| 309 | C5×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 310 | C5×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 311 | C5×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 312 | C5×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 313 | C5×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 314 | C5×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 315 | C5×C22⋊C4 | C24 | 1 | 12 | yes | — |
| 316 | C5×C22⋊C4 | C24 | 1 | 12 | yes | — |
| 317 | C5×C22⋊C4 | C24 | 1 | 12 | yes | — |
| 318 | C42×C5 | C24 | 1 | 6 | yes | — |
| 319 | C42×C5 | C24 | 1 | 3 | yes | — |
| 320 | C42×C5 | C24 | 1 | 3 | yes | — |
| 321 | C22⋊Dic5 | C24 | 1 | 12 | yes | — |
| 322 | C22⋊Dic5 | C24 | 1 | 12 | yes | — |
| 323 | C22⋊Dic5 | C24 | 1 | 12 | yes | — |
| 324 | C22⋊Dic5 | C24 | 1 | 12 | yes | — |
| 325 | C22⋊Dic5 | C24 | 1 | 6 | yes | — |
| 326 | C22⋊Dic5 | C24 | 1 | 6 | yes | — |
| 327 | #685 | C24 | 1 | 12 | yes | — |
| 328 | #685 | C24 | 1 | 12 | yes | — |
| 329 | #685 | C24 | 1 | 12 | yes | — |
| 330 | #685 | C24 | 1 | 12 | yes | — |
| 331 | #685 | C24 | 1 | 12 | yes | — |
| 332 | #685 | C24 | 1 | 12 | yes | — |
| 333 | C4⋊Dic5 | C24 | 1 | 12 | yes | — |
| 334 | C4⋊Dic5 | C24 | 1 | 6 | yes | — |
| 335 | C4⋊Dic5 | C24 | 1 | 6 | yes | — |
| 336 | C4⋊Dic5 | C24 | 1 | 6 | yes | — |
| 337 | C4⋊Dic5 | C24 | 1 | 6 | yes | — |
| 338 | C4⋊Dic5 | C24 | 1 | 12 | yes | — |
| 339 | #683 | C24 | 1 | 12 | yes | — |
| 340 | #683 | C24 | 1 | 12 | yes | — |
| 341 | #683 | C24 | 1 | 12 | yes | — |
| 342 | #683 | C24 | 1 | 12 | yes | — |
| 343 | #683 | C24 | 1 | 12 | yes | — |
| 344 | #683 | C24 | 1 | 12 | yes | — |
| 345 | #683 | C24 | 1 | 12 | yes | — |
| 346 | #683 | C24 | 1 | 12 | yes | — |
| 347 | C4×Dic5 | C24 | 1 | 3 | yes | — |
| 348 | C4×Dic5 | C24 | 1 | 6 | yes | — |
| 349 | C4×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 350 | C4×Dic5 | C24 | 1 | 6 | yes | — |
| 351 | C4×Dic5 | C24 | 1 | 6 | yes | — |
| 352 | C4×Dic5 | C24 | 1 | 6 | yes | — |
| 353 | C4×Dic5 | C24 | 1 | 6 | yes | — |
| 354 | C4×Dic5 | C24 | 1 | 6 | yes | — |
| 355 | C4×Dic5 | C24 | 1 | 12 | yes | — |
| 356 | C4×Dic5 | C24 | 1 | 6 | yes | — |
| 357 | C4×Dic5 | C24 | 1 | 6 | yes | — |
| 358 | #564 | — | 5 | 6 | no | — |
| 359 | #563 | — | 5 | 6 | no | — |
| 360 | #563 | — | 5 | 12 | no | — |
| 361 | #563 | — | 5 | 12 | no | — |
| 362 | #563 | — | 5 | 6 | no | — |
| 363 | #563 | — | 5 | 3 | no | — |
| 364 | #563 | — | 5 | 6 | no | — |
| 365 | #563 | — | 5 | 12 | no | — |
| 366 | #563 | — | 5 | 6 | no | — |
| 367 | #563 | — | 5 | 12 | no | — |
| 368 | #563 | — | 5 | 12 | no | — |
| 369 | #563 | C2×D5 | 1 | 3 | yes | complemented |
| 370 | #562 | — | 5 | 6 | no | — |
| 371 | #562 | — | 5 | 6 | no | — |
| 372 | #562 | — | 5 | 12 | no | — |
| 373 | #562 | — | 5 | 12 | no | — |
| 374 | #562 | — | 5 | 12 | no | — |
| 375 | #562 | — | 5 | 12 | no | — |
| 376 | #562 | — | 5 | 12 | no | — |
| 377 | #562 | — | 5 | 12 | no | — |
| 378 | #562 | C2×D5 | 1 | 6 | yes | complemented |
| 379 | H(3,𝔽4) | — | 5 | 3 | no | — |
| 380 | H(3,𝔽4) | — | 5 | 6 | no | — |
| 381 | H(3,𝔽4) | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 382 | #560 | — | 5 | 6 | no | — |
| 383 | #560 | — | 5 | 6 | no | — |
| 384 | #560 | — | 5 | 12 | no | — |
| 385 | #560 | — | 5 | 12 | no | — |
| 386 | #560 | — | 5 | 12 | no | — |
| 387 | #560 | — | 5 | 6 | no | — |
| 388 | #560 | C2×D5 | 1 | 6 | yes | complemented |
| 389 | #533 | — | 5 | 6 | no | — |
| 390 | #533 | — | 5 | 6 | no | — |
| 391 | #533 | — | 5 | 6 | no | — |
| 392 | #533 | — | 5 | 12 | no | — |
| 393 | #533 | — | 5 | 6 | no | — |
| 394 | #533 | — | 5 | 6 | no | — |
| 395 | #533 | — | 5 | 3 | no | — |
| 396 | #532 | — | 5 | 6 | no | — |
| 397 | #532 | — | 5 | 6 | no | — |
| 398 | #532 | — | 5 | 6 | no | — |
| 399 | #532 | — | 5 | 6 | no | — |
| 400 | #532 | — | 5 | 12 | no | — |
| 401 | #532 | — | 5 | 6 | no | — |
| 402 | #532 | C2×D5 | 1 | 3 | yes | — |
| 403 | #529 | — | 5 | 12 | no | — |
| 404 | #529 | — | 5 | 12 | no | — |
| 405 | #529 | — | 5 | 6 | no | — |
| 406 | #529 | — | 5 | 6 | no | — |
| 407 | #529 | — | 5 | 6 | no | — |
| 408 | #529 | — | 5 | 6 | no | — |
| 409 | #529 | — | 5 | 12 | no | — |
| 410 | #529 | — | 5 | 12 | no | — |
| 411 | #529 | — | 5 | 12 | no | — |
| 412 | #529 | — | 5 | 12 | no | — |
| 413 | #529 | — | 5 | 12 | no | — |
| 414 | #529 | — | 5 | 12 | no | — |
| 415 | #529 | — | 5 | 12 | no | — |
| 416 | #529 | — | 5 | 12 | no | — |
| 417 | #529 | — | 5 | 12 | no | — |
| 418 | #529 | — | 5 | 12 | no | — |
| 419 | #529 | — | 5 | 6 | no | — |
| 420 | #529 | C2×D5 | 1 | 6 | yes | complemented |
| 421 | #525 | — | 5 | 3 | no | — |
| 422 | #525 | — | 5 | 3 | no | — |
| 423 | #525 | — | 5 | 6 | no | — |
| 424 | #525 | — | 5 | 12 | no | — |
| 425 | #525 | — | 5 | 6 | no | — |
| 426 | #525 | — | 5 | 12 | no | — |
| 427 | #525 | — | 5 | 6 | no | — |
| 428 | #525 | — | 5 | 12 | no | — |
| 429 | #525 | — | 5 | 12 | no | — |
| 430 | #525 | — | 5 | 12 | no | — |
| 431 | #525 | C2×D5 | 1 | 6 | yes | complemented |
| 432 | C4×#41 | — | 5 | 1 | no | — |
| 433 | C4×#41 | — | 5 | 3 | no | — |
| 434 | C4×#41 | — | 5 | 2 | no | — |
| 435 | C4×#41 | — | 5 | 12 | no | — |
| 436 | C4×#41 | — | 5 | 6 | no | — |
| 437 | C4×#41 | — | 5 | 6 | no | — |
| 438 | C22×C42 | — | 5 | 2 | no | — |
| 439 | C22×C42 | — | 5 | 3 | no | — |
| 440 | C23×C5 | — | 4 | 4 | no | — |
| 441 | C23×C5 | — | 4 | 2 | no | — |
| 442 | C23×C5 | C25 | 1 | 3 | yes | — |
| 443 | C23×C5 | C25 | 1 | 6 | yes | — |
| 444 | C22×D5 | — | 4 | 3 | no | — |
| 445 | C22×D5 | — | 4 | 6 | no | — |
| 446 | C22×D5 | C25 | 1 | 6 | yes | — |
| 447 | C5×Q8 | — | 4 | 2 | no | — |
| 448 | C5×Q8 | — | 4 | 3 | no | — |
| 449 | C5×Q8 | — | 4 | 1 | no | — |
| 450 | C5×D4 | — | 4 | 12 | no | — |
| 451 | C5×D4 | — | 4 | 6 | no | — |
| 452 | C5×D4 | — | 4 | 6 | no | — |
| 453 | C5×D4 | — | 4 | 3 | no | — |
| 454 | C5×D4 | — | 4 | 3 | no | — |
| 455 | C2×C4×C5 | — | 2 | 6 | no | — |
| 456 | C2×C4×C5 | — | 2 | 12 | no | — |
| 457 | C2×C4×C5 | — | 4 | 6 | no | — |
| 458 | C2×C4×C5 | — | 4 | 6 | no | — |
| 459 | C2×C4×C5 | C25 | 1 | 6 | yes | — |
| 460 | C2×C4×C5 | C25 | 1 | 6 | yes | — |
| 461 | C2×C4×C5 | C25 | 1 | 3 | yes | — |
| 462 | C2×C4×C5 | C25 | 1 | 6 | yes | — |
| 463 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 464 | C22⋊D5 | — | 4 | 12 | no | — |
| 465 | C22⋊D5 | — | 4 | 12 | no | — |
| 466 | C22⋊D5 | — | 4 | 12 | no | — |
| 467 | C22⋊D5 | — | 4 | 12 | no | — |
| 468 | C2×Dic5 | — | 2 | 12 | no | — |
| 469 | C2×Dic5 | — | 2 | 24 | no | — |
| 470 | C2×Dic5 | — | 4 | 3 | no | — |
| 471 | C2×Dic5 | — | 4 | 12 | no | — |
| 472 | C2×Dic5 | C25 | 1 | 6 | yes | — |
| 473 | C2×Dic5 | C25 | 1 | 12 | yes | — |
| 474 | C2×Dic5 | C25 | 1 | 6 | yes | — |
| 475 | C2×Dic5 | C25 | 1 | 2 | yes | — |
| 476 | D20 | — | 4 | 6 | no | — |
| 477 | D20 | — | 4 | 6 | no | — |
| 478 | C4×D5 | — | 2 | 12 | no | — |
| 479 | C4×D5 | — | 2 | 12 | no | — |
| 480 | C4×D5 | — | 2 | 12 | no | — |
| 481 | C4×D5 | — | 4 | 6 | no | — |
| 482 | C4×D5 | — | 4 | 6 | no | — |
| 483 | C4×D5 | — | 4 | 6 | no | — |
| 484 | Dic10 | — | 4 | 6 | no | — |
| 485 | Dic10 | — | 4 | 12 | no | — |
| 486 | Dic10 | — | 4 | 6 | no | — |
| 487 | C2×#41 | — | 5 | 2 | no | — |
| 488 | C2×#41 | — | 5 | 12 | no | — |
| 489 | C2×#41 | — | 5 | 6 | no | — |
| 490 | C2×#41 | — | 5 | 6 | no | — |
| 491 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 492 | C2×#41 | C22×D5 | 1 | 3 | yes | — |
| 493 | C23×C4 | — | 5 | 4 | no | — |
| 494 | C23×C4 | — | 5 | 6 | no | — |
| 495 | C23×C4 | — | 5 | 3 | no | — |
| 496 | C23×C4 | C22×D5 | 1 | 2 | yes | — |
| 497 | C4⋊Q8 | — | 5 | 6 | no | — |
| 498 | C4⋊Q8 | — | 5 | 6 | no | — |
| 499 | C4⋊Q8 | — | 5 | 6 | no | — |
| 500 | C4⋊Q8 | — | 5 | 6 | no | — |
| 501 | C4⋊Q8 | — | 5 | 12 | no | — |
| 502 | C4⋊Q8 | — | 5 | 6 | no | — |
| 503 | C4⋊Q8 | C22×D5 | 1 | 3 | yes | — |
| 504 | #127 | — | 5 | 6 | no | — |
| 505 | #127 | — | 5 | 6 | no | — |
| 506 | #127 | C22×D5 | 1 | 3 | yes | — |
| 507 | #126 | — | 5 | 12 | no | — |
| 508 | #126 | — | 5 | 12 | no | — |
| 509 | #126 | — | 5 | 12 | no | — |
| 510 | #126 | — | 5 | 12 | no | — |
| 511 | #126 | — | 5 | 12 | no | — |
| 512 | #126 | — | 5 | 12 | no | — |
| 513 | #126 | — | 5 | 12 | no | — |
| 514 | #126 | — | 5 | 12 | no | — |
| 515 | #126 | — | 5 | 12 | no | — |
| 516 | #126 | C22×D5 | 1 | 12 | yes | — |
| 517 | #125 | — | 5 | 12 | no | — |
| 518 | #125 | — | 5 | 12 | no | — |
| 519 | #125 | — | 5 | 12 | no | — |
| 520 | #125 | — | 5 | 12 | no | — |
| 521 | #125 | — | 5 | 12 | no | — |
| 522 | #125 | — | 5 | 12 | no | — |
| 523 | #125 | — | 5 | 6 | no | — |
| 524 | #125 | — | 5 | 6 | no | — |
| 525 | #125 | C22×D5 | 1 | 6 | yes | — |
| 526 | #124 | — | 5 | 6 | no | — |
| 527 | #124 | — | 5 | 6 | no | — |
| 528 | #124 | — | 5 | 12 | no | — |
| 529 | #124 | — | 5 | 12 | no | — |
| 530 | #124 | — | 5 | 12 | no | — |
| 531 | #124 | — | 5 | 12 | no | — |
| 532 | #124 | — | 5 | 12 | no | — |
| 533 | #124 | — | 5 | 6 | no | — |
| 534 | #124 | C22×D5 | 1 | 3 | yes | — |
| 535 | #124 | C22×D5 | 1 | 3 | yes | — |
| 536 | #124 | C22×D5 | 1 | 6 | yes | — |
| 537 | #123 | — | 5 | 6 | no | — |
| 538 | #123 | — | 5 | 6 | no | — |
| 539 | #123 | — | 5 | 12 | no | — |
| 540 | #123 | — | 5 | 12 | no | — |
| 541 | #123 | — | 5 | 12 | no | — |
| 542 | #123 | — | 5 | 12 | no | — |
| 543 | #123 | — | 5 | 12 | no | — |
| 544 | #123 | — | 5 | 12 | no | — |
| 545 | #123 | — | 5 | 12 | no | — |
| 546 | #123 | — | 5 | 12 | no | — |
| 547 | #123 | — | 5 | 12 | no | — |
| 548 | #123 | — | 5 | 12 | no | — |
| 549 | #123 | — | 5 | 12 | no | — |
| 550 | #123 | — | 5 | 12 | no | — |
| 551 | #123 | C22×D5 | 1 | 12 | yes | — |
| 552 | #123 | C22×D5 | 1 | 6 | yes | — |
| 553 | #123 | C22×D5 | 1 | 6 | yes | — |
| 554 | C22⋊Q8 | — | 5 | 6 | no | — |
| 555 | C22⋊Q8 | — | 5 | 6 | no | — |
| 556 | C22⋊Q8 | — | 5 | 6 | no | — |
| 557 | C22⋊Q8 | — | 5 | 12 | no | — |
| 558 | C22⋊Q8 | — | 5 | 12 | no | — |
| 559 | C22⋊Q8 | — | 5 | 6 | no | — |
| 560 | C22⋊Q8 | — | 5 | 12 | no | — |
| 561 | C22⋊Q8 | — | 5 | 12 | no | — |
| 562 | C22⋊Q8 | — | 5 | 12 | no | — |
| 563 | C22⋊Q8 | — | 5 | 6 | no | — |
| 564 | C22⋊Q8 | — | 5 | 12 | no | — |
| 565 | C22⋊Q8 | — | 5 | 12 | no | — |
| 566 | C22⋊Q8 | — | 5 | 12 | no | — |
| 567 | C22⋊Q8 | — | 5 | 12 | no | — |
| 568 | C22⋊Q8 | — | 5 | 12 | no | — |
| 569 | C22⋊Q8 | — | 5 | 12 | no | — |
| 570 | C22⋊Q8 | C22×D5 | 1 | 6 | yes | — |
| 571 | C22⋊Q8 | C22×D5 | 1 | 12 | yes | — |
| 572 | #121 | — | 5 | 6 | no | — |
| 573 | #121 | — | 5 | 6 | no | — |
| 574 | #121 | — | 5 | 12 | no | — |
| 575 | #121 | — | 5 | 6 | no | — |
| 576 | #121 | — | 5 | 12 | no | — |
| 577 | #121 | — | 5 | 12 | no | — |
| 578 | #121 | — | 5 | 12 | no | — |
| 579 | #121 | — | 5 | 12 | no | — |
| 580 | #121 | — | 5 | 12 | no | — |
| 581 | #121 | — | 5 | 12 | no | — |
| 582 | #121 | — | 5 | 6 | no | — |
| 583 | #121 | — | 5 | 6 | no | — |
| 584 | #121 | — | 5 | 12 | no | — |
| 585 | #121 | — | 5 | 12 | no | — |
| 586 | #121 | — | 5 | 12 | no | — |
| 587 | #121 | C22×D5 | 1 | 12 | yes | — |
| 588 | #121 | C22×D5 | 1 | 6 | yes | — |
| 589 | #121 | C22×D5 | 1 | 12 | yes | — |
| 590 | #120 | — | 5 | 12 | no | — |
| 591 | #120 | — | 5 | 6 | no | — |
| 592 | #120 | — | 5 | 6 | no | — |
| 593 | #120 | — | 5 | 12 | no | — |
| 594 | #120 | — | 5 | 12 | no | — |
| 595 | #120 | C22×D5 | 1 | 6 | yes | — |
| 596 | #120 | C22×D5 | 1 | 6 | yes | — |
| 597 | C4×Q8 | — | 5 | 2 | no | — |
| 598 | C4×Q8 | — | 5 | 6 | no | — |
| 599 | C4×Q8 | — | 5 | 2 | no | — |
| 600 | C4×Q8 | — | 5 | 6 | no | — |
| 601 | C4×Q8 | — | 5 | 12 | no | — |
| 602 | C4×Q8 | — | 5 | 12 | no | — |
| 603 | C4×Q8 | — | 5 | 6 | no | — |
| 604 | C4×Q8 | — | 5 | 12 | no | — |
| 605 | C4×Q8 | C22×D5 | 1 | 2 | yes | — |
| 606 | C4×D4 | — | 5 | 6 | no | — |
| 607 | C4×D4 | — | 5 | 12 | no | — |
| 608 | C4×D4 | — | 5 | 6 | no | — |
| 609 | C4×D4 | — | 5 | 12 | no | — |
| 610 | C4×D4 | — | 5 | 6 | no | — |
| 611 | C4×D4 | — | 5 | 12 | no | — |
| 612 | C4×D4 | — | 5 | 12 | no | — |
| 613 | C4×D4 | — | 5 | 12 | no | — |
| 614 | C4×D4 | — | 5 | 6 | no | — |
| 615 | C4×D4 | — | 5 | 12 | no | — |
| 616 | C4×D4 | — | 5 | 12 | no | — |
| 617 | C4×D4 | — | 5 | 12 | no | — |
| 618 | C4×D4 | — | 5 | 12 | no | — |
| 619 | C4×D4 | — | 5 | 12 | no | — |
| 620 | C4×D4 | — | 5 | 12 | no | — |
| 621 | C4×D4 | — | 5 | 6 | no | — |
| 622 | C4×D4 | C22×D5 | 1 | 12 | yes | — |
| 623 | C4×D4 | C22×D5 | 1 | 6 | yes | — |
| 624 | #117 | — | 5 | 6 | no | — |
| 625 | #117 | — | 5 | 3 | no | — |
| 626 | #117 | — | 5 | 3 | no | — |
| 627 | #117 | — | 5 | 6 | no | — |
| 628 | #117 | — | 5 | 6 | no | — |
| 629 | #117 | — | 5 | 12 | no | — |
| 630 | #117 | — | 5 | 12 | no | — |
| 631 | #117 | — | 5 | 12 | no | — |
| 632 | #117 | — | 5 | 12 | no | — |
| 633 | #117 | — | 5 | 12 | no | — |
| 634 | #117 | C22×D5 | 1 | 6 | yes | — |
| 635 | C2×C42 | — | 5 | 6 | no | — |
| 636 | C2×C42 | — | 5 | 3 | no | — |
| 637 | C2×C42 | — | 5 | 12 | no | — |
| 638 | C2×C42 | — | 5 | 6 | no | — |
| 639 | C2×C42 | — | 5 | 6 | no | — |
| 640 | C2×C42 | — | 5 | 6 | no | — |
| 641 | C2×C42 | — | 5 | 6 | no | — |
| 642 | C2×C42 | — | 5 | 6 | no | — |
| 643 | C2×C42 | — | 5 | 6 | no | — |
| 644 | C2×C42 | C22×D5 | 1 | 3 | yes | — |
| 645 | C22×C5 | — | 2 | 12 | no | — |
| 646 | C22×C5 | — | 2 | 6 | no | — |
| 647 | C22×C5 | — | 2 | 3 | no | — |
| 648 | C22×C5 | — | 2 | 6 | no | — |
| 649 | C22×C5 | — | 4 | 8 | no | — |
| 650 | C22×C5 | C26 | 1 | 1 | yes | characteristic |
| 651 | C2×D5 | — | 2 | 6 | no | — |
| 652 | C2×D5 | — | 2 | 6 | no | — |
| 653 | C2×D5 | — | 2 | 6 | no | — |
| 654 | C2×D5 | — | 4 | 12 | no | — |
| 655 | C4×C5 | — | 2 | 6 | no | — |
| 656 | C4×C5 | — | 2 | 6 | no | — |
| 657 | C4×C5 | — | 2 | 6 | no | — |
| 658 | C4×C5 | — | 2 | 3 | no | — |
| 659 | C4×C5 | #585 | 1 | 2 | yes | — |
| 660 | Dic5 | — | 2 | 6 | no | — |
| 661 | Dic5 | — | 2 | 6 | no | — |
| 662 | Dic5 | — | 2 | 12 | no | — |
| 663 | Dic5 | #585 | 1 | 4 | yes | — |
| 664 | C24 | — | 5 | 3 | no | — |
| 665 | C24 | C23×D5 | 1 | 2 | yes | — |
| 666 | #41 | — | 4 | 6 | no | — |
| 667 | #41 | — | 4 | 2 | no | — |
| 668 | #41 | — | 20 | 12 | no | — |
| 669 | #41 | — | 20 | 24 | no | — |
| 670 | #41 | — | 20 | 12 | no | — |
| 671 | #41 | — | 20 | 4 | no | — |
| 672 | C2×Q8 | — | 5 | 6 | no | — |
| 673 | C2×Q8 | — | 5 | 12 | no | — |
| 674 | C2×Q8 | — | 5 | 6 | no | — |
| 675 | C2×Q8 | C23×D5 | 1 | 1 | yes | characteristic |
| 676 | C2×Q8 | C23×D5 | 1 | 3 | yes | — |
| 677 | C2×Q8 | C23×D5 | 1 | 2 | yes | — |
| 678 | C2×D4 | — | 5 | 12 | no | — |
| 679 | C2×D4 | — | 5 | 12 | no | — |
| 680 | C2×D4 | — | 5 | 12 | no | — |
| 681 | C2×D4 | — | 5 | 12 | no | — |
| 682 | C2×D4 | — | 5 | 6 | no | — |
| 683 | C2×D4 | — | 5 | 6 | no | — |
| 684 | C2×D4 | C23×D5 | 1 | 3 | yes | — |
| 685 | C2×D4 | C23×D5 | 1 | 6 | yes | — |
| 686 | C2×D4 | C23×D5 | 1 | 3 | yes | — |
| 687 | C2×D4 | C23×D5 | 1 | 12 | yes | — |
| 688 | C2×D4 | C23×D5 | 1 | 6 | yes | — |
| 689 | C22×C4 | — | 4 | 4 | no | — |
| 690 | C22×C4 | — | 5 | 6 | no | — |
| 691 | C22×C4 | — | 5 | 12 | no | — |
| 692 | C22×C4 | — | 5 | 3 | no | — |
| 693 | C22×C4 | — | 5 | 12 | no | — |
| 694 | C22×C4 | — | 5 | 6 | no | — |
| 695 | C22×C4 | — | 5 | 6 | no | — |
| 696 | C22×C4 | — | 5 | 6 | no | — |
| 697 | C22×C4 | — | 5 | 6 | no | — |
| 698 | C22×C4 | — | 5 | 6 | no | — |
| 699 | C22×C4 | — | 5 | 6 | no | — |
| 700 | C22×C4 | — | 20 | 6 | no | — |
| 701 | C22×C4 | — | 20 | 12 | no | — |
| 702 | C22×C4 | — | 20 | 8 | no | — |
| 703 | C22×C4 | C23×D5 | 1 | 6 | yes | — |
| 704 | C22×C4 | C23×D5 | 1 | 3 | yes | — |
| 705 | C22×C4 | C23×D5 | 1 | 6 | yes | — |
| 706 | C22×C4 | C23×D5 | 1 | 6 | yes | — |
| 707 | C4⋊C4 | — | 5 | 12 | no | — |
| 708 | C4⋊C4 | — | 5 | 12 | no | — |
| 709 | C4⋊C4 | — | 5 | 12 | no | — |
| 710 | C4⋊C4 | — | 5 | 12 | no | — |
| 711 | C4⋊C4 | — | 5 | 12 | no | — |
| 712 | C4⋊C4 | — | 5 | 12 | no | — |
| 713 | C4⋊C4 | — | 5 | 12 | no | — |
| 714 | C4⋊C4 | — | 5 | 12 | no | — |
| 715 | C4⋊C4 | — | 5 | 12 | no | — |
| 716 | C4⋊C4 | — | 5 | 6 | no | — |
| 717 | C4⋊C4 | — | 5 | 6 | no | — |
| 718 | C4⋊C4 | — | 5 | 12 | no | — |
| 719 | C4⋊C4 | — | 5 | 6 | no | — |
| 720 | C4⋊C4 | — | 5 | 6 | no | — |
| 721 | C4⋊C4 | C23×D5 | 1 | 6 | yes | — |
| 722 | C4⋊C4 | C23×D5 | 1 | 6 | yes | — |
| 723 | C4⋊C4 | C23×D5 | 1 | 12 | yes | — |
| 724 | C4⋊C4 | C23×D5 | 1 | 12 | yes | — |
| 725 | C22⋊C4 | — | 5 | 6 | no | — |
| 726 | C22⋊C4 | — | 5 | 6 | no | — |
| 727 | C22⋊C4 | — | 5 | 12 | no | — |
| 728 | C22⋊C4 | — | 5 | 12 | no | — |
| 729 | C22⋊C4 | — | 5 | 12 | no | — |
| 730 | C22⋊C4 | — | 5 | 12 | no | — |
| 731 | C22⋊C4 | — | 5 | 12 | no | — |
| 732 | C22⋊C4 | — | 5 | 12 | no | — |
| 733 | C22⋊C4 | — | 5 | 12 | no | — |
| 734 | C22⋊C4 | — | 5 | 12 | no | — |
| 735 | C22⋊C4 | — | 5 | 12 | no | — |
| 736 | C22⋊C4 | — | 5 | 12 | no | — |
| 737 | C22⋊C4 | C23×D5 | 1 | 12 | yes | — |
| 738 | C22⋊C4 | C23×D5 | 1 | 12 | yes | — |
| 739 | C22⋊C4 | C23×D5 | 1 | 12 | yes | — |
| 740 | C22⋊C4 | C23×D5 | 1 | 6 | yes | — |
| 741 | C22⋊C4 | C23×D5 | 1 | 6 | yes | — |
| 742 | C42 | — | 5 | 12 | no | — |
| 743 | C42 | — | 5 | 6 | no | — |
| 744 | C42 | — | 5 | 6 | no | — |
| 745 | C42 | — | 5 | 6 | no | — |
| 746 | C42 | — | 5 | 6 | no | — |
| 747 | C42 | — | 5 | 6 | no | — |
| 748 | C42 | — | 5 | 6 | no | — |
| 749 | C42 | — | 5 | 6 | no | — |
| 750 | C42 | — | 5 | 1 | no | — |
| 751 | C42 | — | 5 | 6 | no | — |
| 752 | C42 | — | 5 | 3 | no | — |
| 753 | C42 | C23×D5 | 1 | 3 | yes | — |
| 754 | C42 | C23×D5 | 1 | 3 | yes | — |
| 755 | C42 | C23×D5 | 1 | 6 | yes | — |
| 756 | C2×C5 | — | 4 | 3 | no | — |
| 757 | C2×C5 | — | 4 | 6 | no | — |
| 758 | C2×C5 | C2×#585 | 1 | 1 | yes | characteristic |
| 759 | C2×C5 | C2×#585 | 1 | 2 | yes | — |
| 760 | D5 | — | 4 | 6 | no | — |
| 761 | C23 | — | 4 | 2 | no | — |
| 762 | C23 | — | 4 | 4 | no | — |
| 763 | C23 | — | 5 | 6 | no | — |
| 764 | C23 | — | 20 | 3 | no | — |
| 765 | C23 | — | 20 | 6 | no | — |
| 766 | C23 | C24×D5 | 1 | 3 | yes | — |
| 767 | C23 | C24×D5 | 1 | 6 | yes | — |
| 768 | Q8 | — | 4 | 3 | no | — |
| 769 | Q8 | — | 4 | 1 | no | — |
| 770 | Q8 | — | 4 | 2 | no | — |
| 771 | Q8 | — | 20 | 6 | no | — |
| 772 | Q8 | — | 20 | 12 | no | — |
| 773 | Q8 | — | 20 | 6 | no | — |
| 774 | D4 | — | 4 | 6 | no | — |
| 775 | D4 | — | 4 | 3 | no | — |
| 776 | D4 | — | 4 | 3 | no | — |
| 777 | D4 | — | 4 | 12 | no | — |
| 778 | D4 | — | 4 | 6 | no | — |
| 779 | D4 | — | 20 | 6 | no | — |
| 780 | D4 | — | 20 | 6 | no | — |
| 781 | D4 | — | 20 | 12 | no | — |
| 782 | D4 | — | 20 | 12 | no | — |
| 783 | D4 | — | 20 | 12 | no | — |
| 784 | D4 | — | 20 | 12 | no | — |
| 785 | C2×C4 | — | 2 | 12 | no | — |
| 786 | C2×C4 | — | 2 | 6 | no | — |
| 787 | C2×C4 | — | 4 | 6 | no | — |
| 788 | C2×C4 | — | 4 | 6 | no | — |
| 789 | C2×C4 | — | 5 | 2 | no | — |
| 790 | C2×C4 | — | 5 | 6 | no | — |
| 791 | C2×C4 | — | 5 | 6 | no | — |
| 792 | C2×C4 | — | 5 | 12 | no | — |
| 793 | C2×C4 | — | 10 | 12 | no | — |
| 794 | C2×C4 | — | 10 | 12 | no | — |
| 795 | C2×C4 | — | 10 | 12 | no | — |
| 796 | C2×C4 | — | 10 | 24 | no | — |
| 797 | C2×C4 | — | 10 | 12 | no | — |
| 798 | C2×C4 | — | 20 | 6 | no | — |
| 799 | C2×C4 | — | 20 | 6 | no | — |
| 800 | C2×C4 | — | 20 | 6 | no | — |
| 801 | C2×C4 | — | 20 | 3 | no | — |
| 802 | C2×C4 | — | 20 | 12 | no | — |
| 803 | C2×C4 | C24×D5 | 1 | 6 | yes | — |
| 804 | C2×C4 | C24×D5 | 1 | 3 | yes | — |
| 805 | C2×C4 | C24×D5 | 1 | 6 | yes | — |
| 806 | C2×C4 | C24×D5 | 1 | 6 | yes | — |
| 807 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 808 | C5 | #62694 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 809 | C22 | — | 2 | 6 | no | — |
| 810 | C22 | — | 2 | 3 | no | — |
| 811 | C22 | — | 2 | 6 | no | — |
| 812 | C22 | — | 2 | 12 | no | — |
| 813 | C22 | — | 4 | 8 | no | — |
| 814 | C22 | — | 10 | 6 | no | — |
| 815 | C22 | — | 10 | 6 | no | — |
| 816 | C22 | — | 10 | 6 | no | — |
| 817 | C22 | — | 20 | 12 | no | — |
| 818 | C22 | C25×D5 | 1 | 1 | yes | characteristic |
| 819 | C4 | — | 2 | 6 | no | — |
| 820 | C4 | — | 2 | 3 | no | — |
| 821 | C4 | — | 2 | 6 | no | — |
| 822 | C4 | — | 2 | 6 | no | — |
| 823 | C4 | — | 5 | 4 | no | — |
| 824 | C4 | — | 10 | 6 | no | — |
| 825 | C4 | — | 10 | 6 | no | — |
| 826 | C4 | — | 10 | 12 | no | — |
| 827 | C4 | #66285 | 1 | 2 | yes | — |
| 828 | C2 | — | 4 | 6 | no | — |
| 829 | C2 | — | 4 | 3 | no | — |
| 830 | C2 | — | 20 | 6 | no | — |
| 831 | C2 | C2×#66285 | 1 | 1 | yes | characteristic |
| 832 | C2 | D5×#585 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center | C2×C4 | C24×D5 |
| commutator, socle, cosocle | C22×C5 | C26 |
| Frattini | C22 | C25×D5 |
| Fitting | C5×#3529 | C2 |
| hypercenter | #3529 | D5 |
| hypocenter | C5 | #62694 |
| LCS | G ▷ C22×C5 ▷ C5 | |
| UCS | C1 ◁ C2×C4 ◁ #3529 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C5×#3529 | C2 | semidirect |
| 2. #10619017 | C2 | semidirect |
| 3. #10618995 | C2 | semidirect |
| 4. #10618994 | C2 | semidirect |
| 5. #10618986 | C2 | semidirect |
| 6. #10618971 | C2 | semidirect |
| 7. #10618149 | C2 | semidirect |
| 8. #10618120 | C2 | semidirect |
| 9. #10618033 | C2 | semidirect |
| 10. #10618020 | C2 | semidirect |
| 11. #10617949 | C2 | semidirect |
| 12. #10617919 | C2 | semidirect |
| 13. C5×#563 | C22 | semidirect |
| 14. C5×#562 | C22 | semidirect |
| 15. C5×H(3,𝔽4) | C22 | semidirect |
| 16. C5×#560 | C22 | semidirect |
| 18. C5×#529 | C22 | semidirect |
| 19. C5×#525 | C22 | semidirect |
| 21. #66162 | C22 | semidirect |
| 22. #66162 | C22 | semidirect |
| 23. #41×Dic5 | C22 | semidirect |
| 24. #41×Dic5 | C22 | semidirect |
| 25. #66125 | C22 | semidirect |
| 26. C22×C4×Dic5 | C22 | semidirect |
| 27. #66069 | C22 | semidirect |
| 28. #66062 | C22 | semidirect |
| 29. #66054 | C22 | semidirect |
| 31. #66046 | C22 | semidirect |
| 32. #66046 | C22 | semidirect |
| 33. #66040 | C22 | semidirect |
| 34. #66040 | C22 | semidirect |
| 35. #66033 | C22 | semidirect |
| 36. #66025 | C22 | semidirect |
| 37. #66022 | C22 | semidirect |
| 38. C5⋊#564 | C22 | semidirect |
| 39. #66018 | C22 | semidirect |
| 40. #66018 | C22 | semidirect |
| 41. #66017 | C22 | semidirect |
| 42. #66014 | C22 | semidirect |
| 43. #66014 | C22 | semidirect |
| 44. #66014 | C22 | semidirect |
| 45. #66006 | C22 | semidirect |
| 46. #66006 | C22 | semidirect |
| 48. #66001 | C22 | semidirect |
| 49. #66001 | C22 | semidirect |
| 50. #66000 | C22 | semidirect |
| 51. #65990 | C22 | semidirect |
| 52. #65985 | C22 | semidirect |
| 53. #65985 | C22 | semidirect |
| 54. #65983 | C22 | semidirect |
| 55. #65983 | C22 | semidirect |
| 56. #65983 | C22 | semidirect |
| 57. #65981 | C22 | semidirect |
| 58. #65980 | C22 | semidirect |
| 59. #65980 | C22 | semidirect |
| 60. #65961 | C22 | semidirect |
| 61. #65958 | C22 | semidirect |
| 62. #65956 | C22 | semidirect |
| 63. #65956 | C22 | semidirect |
| 64. #65955 | C22 | semidirect |
| 65. #65955 | C22 | semidirect |
| 66. #65955 | C22 | semidirect |
| 67. #65954 | C22 | semidirect |
| 68. #65954 | C22 | semidirect |
| 69. #65940 | C22 | semidirect |
| 70. #65940 | C22 | semidirect |
| 71. #65934 | C22 | semidirect |
| 72. #65934 | C22 | semidirect |
| 75. #65929 | C22 | semidirect |
| 76. #65929 | C22 | semidirect |
| 77. #65928 | C22 | semidirect |
| 78. #65920 | C22 | semidirect |
| 79. #65920 | C22 | semidirect |
| 80. #65912 | C22 | semidirect |
| 81. C4×#713 | C22 | semidirect |
| 82. #65891 | C22 | semidirect |
| 84. #65881 | C22 | semidirect |
| 85. #65872 | C22 | semidirect |
| 86. #65872 | C22 | semidirect |
| 87. C4×#711 | C22 | semidirect |
| 88. C4×#711 | C22 | semidirect |
| 89. #65862 | C22 | semidirect |
| 90. #65856 | C22 | semidirect |
| 91. #65851 | C22 | semidirect |
| 92. #65813 | C22 | semidirect |
| 93. C2×C42×D5 | C22 | semidirect |
| 94. #65804 | C22 | semidirect |
| 262. #3529 | D5 | semidirect |
| 369. #563 | C2×D5 | semidirect |
| 378. #562 | C2×D5 | semidirect |
| 381. H(3,𝔽4) | C2×D5 | semidirect |
| 388. #560 | C2×D5 | semidirect |
| 420. #529 | C2×D5 | semidirect |
| 431. #525 | C2×D5 | semidirect |
| 808. C5 | #62694 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3529 | 2 |
| #10619017 | 2 |
| #10618995 | 2 |
| #10618994 | 2 |
| #10618986 | 2 |
| #10618971 | 2 |
| #10618149 | 2 |
| #10618120 | 2 |
| #10618033 | 2 |
| #10618020 | 2 |
| #10617949 | 2 |
| #10617919 | 2 |
| #62694 | 5 |