Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
2642 conjugacy classes of subgroups.
The subgroup lattice has 728 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#65978 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C5×#2659 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10614540 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10609519 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #10609484 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #10608918 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10608915 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10605779 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10605762 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10605604 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10605596 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10605112 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C2×#64955 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C23×C4×D5 | C22 | 1 | 1 | yes | characteristic |
| 15 | C2×C5×C22⋊Q8 | C22 | 1 | 2 | yes | — |
| 16 | C2×#4093 | C22 | 1 | 4 | yes | — |
| 17 | C2×#4093 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×#4076 | C22 | 1 | 2 | yes | — |
| 19 | C2×#4076 | C22 | 1 | 2 | yes | — |
| 20 | C2×#4076 | C22 | 1 | 2 | yes | — |
| 21 | C22×#685 | C22 | 1 | 1 | yes | characteristic |
| 22 | C22×#685 | C22 | 1 | 1 | yes | characteristic |
| 23 | C22×C4×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 24 | C22×C4×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 25 | #65978 | — | 2 | 16 | no | — |
| 26 | C2×#4044 | C22 | 1 | 4 | yes | — |
| 27 | C2×#4041 | C22 | 1 | 4 | yes | — |
| 28 | C2×#4041 | C22 | 1 | 2 | yes | — |
| 29 | C2×#4041 | C22 | 1 | 2 | yes | — |
| 30 | C2×#4040 | C22 | 1 | 4 | yes | — |
| 31 | C2×#4039 | C22 | 1 | 2 | yes | complemented |
| 32 | C2×#4028 | C22 | 1 | 4 | yes | — |
| 33 | C2×#4027 | C22 | 1 | 4 | yes | — |
| 34 | C5×#398 | C22 | 1 | 4 | yes | complemented |
| 35 | C5×#395 | C22 | 1 | 4 | yes | complemented |
| 36 | C5×#380 | C22 | 1 | 2 | yes | — |
| 37 | C5×#380 | C22 | 1 | 2 | yes | — |
| 38 | C2×C5×#95 | C22 | 1 | 1 | yes | characteristic |
| 39 | #65519 | C22 | 1 | 2 | yes | complemented |
| 40 | C2×#3963 | C22 | 1 | 1 | yes | characteristic |
| 41 | #65280 | C22 | 1 | 4 | yes | — |
| 42 | #65280 | C22 | 1 | 4 | yes | — |
| 43 | #65279 | C22 | 1 | 4 | yes | complemented |
| 44 | #65279 | C22 | 1 | 4 | yes | complemented |
| 45 | #65279 | C22 | 1 | 4 | yes | complemented |
| 46 | #65278 | C22 | 1 | 4 | yes | complemented |
| 47 | #65277 | C22 | 1 | 2 | yes | complemented |
| 48 | #65277 | C22 | 1 | 2 | yes | complemented |
| 49 | #65276 | C22 | 1 | 2 | yes | — |
| 50 | #65276 | C22 | 1 | 2 | yes | — |
| 51 | #65266 | C22 | 1 | 2 | yes | complemented |
| 52 | C4⋊C4×Dic5 | C22 | 1 | 2 | yes | complemented |
| 53 | #65262 | C22 | 1 | 2 | yes | complemented |
| 54 | #65247 | C22 | 1 | 4 | yes | — |
| 55 | #65247 | C22 | 1 | 4 | yes | — |
| 56 | #64966 | C22 | 1 | 4 | yes | complemented |
| 57 | #64963 | C22 | 1 | 4 | yes | — |
| 58 | #64960 | C22 | 1 | 4 | yes | — |
| 59 | #64960 | C22 | 1 | 4 | yes | complemented |
| 60 | #64958 | C22 | 1 | 4 | yes | complemented |
| 61 | #64955 | C22 | 1 | 4 | yes | — |
| 62 | #64955 | C22 | 1 | 4 | yes | — |
| 63 | #64955 | C22 | 1 | 4 | yes | complemented |
| 64 | #64954 | C22 | 1 | 4 | yes | — |
| 65 | #64954 | C22 | 1 | 4 | yes | — |
| 66 | #64954 | C22 | 1 | 4 | yes | complemented |
| 67 | #64943 | C22 | 1 | 4 | yes | complemented |
| 68 | #35003 | — | 5 | 1 | no | maximal, Sylow |
| 69 | C24×D5 | C23 | 1 | 1 | yes | characteristic |
| 70 | C22×C5×Q8 | C23 | 1 | 2 | yes | — |
| 71 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 72 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 73 | C23×C4×C5 | C23 | 1 | 1 | yes | characteristic |
| 74 | C22×C22⋊D5 | C23 | 1 | 4 | yes | — |
| 75 | C23×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 76 | C23×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 77 | C23×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×D20 | C23 | 1 | 4 | yes | — |
| 79 | C22×D20 | C23 | 1 | 4 | yes | — |
| 80 | C22×D20 | C23 | 1 | 2 | yes | — |
| 81 | C22×D20 | C23 | 1 | 2 | yes | — |
| 82 | C22×D20 | C23 | 1 | 2 | yes | — |
| 83 | C22×C4×D5 | — | 2 | 4 | no | — |
| 84 | C22×C4×D5 | — | 4 | 2 | no | — |
| 85 | C22×C4×D5 | — | 4 | 2 | no | — |
| 86 | C22×C4×D5 | C23 | 1 | 2 | yes | — |
| 87 | C22×C4×D5 | C23 | 1 | 2 | yes | — |
| 88 | C22×C4×D5 | C23 | 1 | 4 | yes | — |
| 89 | C5×C22⋊Q8 | — | 2 | 8 | no | — |
| 90 | C2×C5×C4⋊C4 | C23 | 1 | 4 | yes | — |
| 91 | C2×C5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 92 | C2×C5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 93 | C2×C5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 94 | C2×C5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 95 | C2×C5×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 96 | C2×C5×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 97 | #4093 | — | 2 | 16 | no | — |
| 98 | #4093 | — | 4 | 4 | no | — |
| 99 | #4076 | — | 2 | 8 | no | — |
| 100 | #4076 | — | 2 | 8 | no | — |
| 101 | #4076 | — | 2 | 8 | no | — |
| 102 | C2×#685 | — | 2 | 4 | no | — |
| 103 | C2×#685 | D4 | 1 | 8 | yes | complemented |
| 104 | C2×#685 | C23 | 1 | 4 | yes | — |
| 105 | C2×#685 | C23 | 1 | 4 | yes | — |
| 106 | C2×#685 | C23 | 1 | 4 | yes | — |
| 107 | C2×#685 | C23 | 1 | 4 | yes | — |
| 108 | C2×#685 | C23 | 1 | 4 | yes | — |
| 109 | C2×#685 | C23 | 1 | 4 | yes | — |
| 110 | C2×#685 | C23 | 1 | 4 | yes | — |
| 111 | C2×#685 | C23 | 1 | 4 | yes | — |
| 112 | C2×#685 | C23 | 1 | 4 | yes | — |
| 113 | C2×#685 | C23 | 1 | 4 | yes | — |
| 114 | C2×#685 | C23 | 1 | 4 | yes | — |
| 115 | C2×#685 | C23 | 1 | 4 | yes | — |
| 116 | C2×C4⋊Dic5 | C23 | 1 | 2 | yes | — |
| 117 | C2×C4⋊Dic5 | C23 | 1 | 2 | yes | — |
| 118 | C2×C4⋊Dic5 | C23 | 1 | 2 | yes | — |
| 119 | C2×#683 | C23 | 1 | 4 | yes | — |
| 120 | C2×C4×Dic5 | — | 4 | 2 | no | — |
| 121 | C2×C4×Dic5 | — | 4 | 2 | no | — |
| 122 | C2×C4×Dic5 | C23 | 1 | 4 | yes | — |
| 123 | C2×C4×Dic5 | C23 | 1 | 2 | yes | — |
| 124 | C2×C4×Dic5 | C23 | 1 | 2 | yes | — |
| 125 | C2×C4×Dic5 | C23 | 1 | 2 | yes | — |
| 126 | C2×C4×Dic5 | C23 | 1 | 2 | yes | — |
| 127 | #4044 | — | 2 | 16 | no | — |
| 128 | #4041 | — | 2 | 16 | no | — |
| 129 | #4041 | — | 4 | 4 | no | — |
| 130 | #4041 | — | 4 | 4 | no | — |
| 131 | #4040 | — | 2 | 16 | no | — |
| 132 | #4039 | — | 4 | 4 | no | — |
| 133 | #4028 | — | 2 | 16 | no | — |
| 134 | #4027 | — | 2 | 16 | no | — |
| 135 | C5×#95 | C23 | 1 | 4 | yes | — |
| 136 | C5×#95 | C23 | 1 | 4 | yes | — |
| 137 | C5×#95 | C23 | 1 | 4 | yes | — |
| 138 | #3963 | C23 | 1 | 4 | yes | — |
| 139 | #3963 | C23 | 1 | 4 | yes | — |
| 140 | #3963 | C23 | 1 | 4 | yes | — |
| 141 | #3963 | C23 | 1 | 4 | yes | — |
| 142 | #3963 | C23 | 1 | 4 | yes | — |
| 143 | C2×#538 | — | 5 | 2 | no | — |
| 144 | #2850 | — | 5 | 2 | no | — |
| 145 | #2847 | — | 5 | 2 | no | — |
| 146 | #2659 | D5 | 1 | 1 | yes | characteristic, complemented |
| 147 | #2656 | — | 5 | 1 | no | — |
| 148 | #2617 | — | 5 | 2 | no | — |
| 149 | #2555 | — | 5 | 4 | no | — |
| 150 | #2553 | — | 5 | 4 | no | — |
| 151 | #2521 | — | 5 | 4 | no | — |
| 152 | #2464 | — | 5 | 4 | no | — |
| 153 | #2325 | — | 5 | 2 | no | — |
| 154 | C4×#121 | — | 5 | 2 | no | — |
| 155 | C2×C4×C22⋊C4 | — | 5 | 1 | no | — |
| 156 | C24×C5 | C24 | 1 | 1 | yes | characteristic |
| 157 | C23×D5 | — | 2 | 2 | no | — |
| 158 | C23×D5 | — | 2 | 2 | no | — |
| 159 | C23×D5 | — | 4 | 1 | no | — |
| 160 | C23×D5 | — | 4 | 1 | no | — |
| 161 | C23×D5 | — | 4 | 1 | no | — |
| 162 | C23×D5 | — | 4 | 1 | no | — |
| 163 | C23×D5 | C2×D4 | 1 | 4 | yes | — |
| 164 | C23×D5 | C24 | 1 | 4 | yes | — |
| 165 | C23×D5 | C24 | 1 | 2 | yes | — |
| 166 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 167 | C2×C5×Q8 | — | 4 | 2 | no | — |
| 168 | C2×C5×Q8 | — | 4 | 2 | no | — |
| 169 | C22×C4×C5 | — | 4 | 1 | no | — |
| 170 | C22×C4×C5 | — | 4 | 1 | no | — |
| 171 | C22×C4×C5 | — | 4 | 1 | no | — |
| 172 | C22×C4×C5 | — | 4 | 1 | no | — |
| 173 | C22×C4×C5 | — | 4 | 1 | no | — |
| 174 | C22×C4×C5 | — | 4 | 1 | no | — |
| 175 | C22×C4×C5 | C2×D4 | 1 | 4 | yes | — |
| 176 | C22×C4×C5 | #41 | 1 | 4 | yes | — |
| 177 | C22×C4×C5 | #41 | 1 | 4 | yes | — |
| 178 | C22×C4×C5 | C24 | 1 | 4 | yes | — |
| 179 | C22×C4×C5 | C24 | 1 | 4 | yes | — |
| 180 | C22×C4×C5 | C24 | 1 | 2 | yes | — |
| 181 | C22×C4×C5 | C24 | 1 | 2 | yes | — |
| 182 | C22×C4×C5 | C24 | 1 | 2 | yes | — |
| 183 | C2×C22⋊D5 | — | 2 | 8 | no | — |
| 184 | C2×C22⋊D5 | — | 2 | 8 | no | — |
| 185 | C2×C22⋊D5 | — | 2 | 8 | no | — |
| 186 | C22×Dic5 | — | 2 | 2 | no | — |
| 187 | C22×Dic5 | — | 2 | 2 | no | — |
| 188 | C22×Dic5 | — | 2 | 2 | no | — |
| 189 | C22×Dic5 | — | 2 | 2 | no | — |
| 190 | C22×Dic5 | — | 4 | 1 | no | — |
| 191 | C22×Dic5 | — | 4 | 1 | no | — |
| 192 | C22×Dic5 | — | 4 | 1 | no | — |
| 193 | C22×Dic5 | — | 4 | 1 | no | — |
| 194 | C22×Dic5 | C2×D4 | 1 | 4 | yes | — |
| 195 | C22×Dic5 | C24 | 1 | 2 | yes | — |
| 196 | C22×Dic5 | C24 | 1 | 4 | yes | — |
| 197 | C22×Dic5 | C24 | 1 | 2 | yes | — |
| 198 | C22×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 199 | C22×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 200 | C2×D20 | — | 2 | 4 | no | — |
| 201 | C2×D20 | — | 2 | 8 | no | — |
| 202 | C2×D20 | — | 2 | 8 | no | — |
| 203 | C2×D20 | — | 2 | 4 | no | — |
| 204 | C2×D20 | — | 2 | 4 | no | — |
| 205 | C2×D20 | — | 4 | 2 | no | — |
| 206 | C2×D20 | — | 4 | 2 | no | — |
| 207 | C2×D20 | — | 4 | 2 | no | — |
| 208 | C2×D20 | — | 4 | 4 | no | — |
| 209 | C2×D20 | — | 4 | 4 | no | — |
| 210 | C2×D20 | — | 4 | 2 | no | — |
| 211 | C2×D20 | — | 4 | 2 | no | — |
| 212 | C2×D20 | — | 4 | 4 | no | — |
| 213 | C2×D20 | — | 4 | 4 | no | — |
| 214 | C2×D20 | — | 4 | 2 | no | — |
| 215 | C2×C4×D5 | — | 2 | 4 | no | — |
| 216 | C2×C4×D5 | — | 2 | 4 | no | — |
| 217 | C2×C4×D5 | — | 2 | 4 | no | — |
| 218 | C2×C4×D5 | — | 2 | 4 | no | — |
| 219 | C2×C4×D5 | — | 2 | 8 | no | — |
| 220 | C2×C4×D5 | — | 4 | 2 | no | — |
| 221 | C2×C4×D5 | — | 4 | 2 | no | — |
| 222 | C2×C4×D5 | — | 4 | 16 | no | — |
| 223 | C2×C4×D5 | — | 4 | 4 | no | — |
| 224 | C2×C4×D5 | — | 4 | 4 | no | — |
| 225 | C5×C4⋊C4 | — | 2 | 4 | no | — |
| 226 | C5×C4⋊C4 | — | 2 | 8 | no | — |
| 227 | C5×C4⋊C4 | — | 4 | 2 | no | — |
| 228 | C5×C4⋊C4 | — | 4 | 2 | no | — |
| 229 | C5×C4⋊C4 | — | 4 | 2 | no | — |
| 230 | C5×C4⋊C4 | — | 4 | 2 | no | — |
| 231 | C5×C22⋊C4 | — | 2 | 8 | no | — |
| 232 | #685 | — | 2 | 8 | no | — |
| 233 | #685 | — | 2 | 8 | no | — |
| 234 | #685 | — | 2 | 8 | no | — |
| 235 | #685 | — | 2 | 8 | no | — |
| 236 | #685 | — | 2 | 8 | no | — |
| 237 | #685 | — | 2 | 8 | no | — |
| 238 | #685 | — | 2 | 8 | no | — |
| 239 | #685 | — | 2 | 8 | no | — |
| 240 | #685 | — | 2 | 8 | no | — |
| 241 | #685 | — | 4 | 4 | no | — |
| 242 | #685 | — | 4 | 4 | no | — |
| 243 | #685 | C2×D4 | 1 | 16 | yes | — |
| 244 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 245 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 246 | C4⋊Dic5 | — | 2 | 4 | no | — |
| 247 | #683 | — | 2 | 8 | no | — |
| 248 | C4×Dic5 | — | 2 | 8 | no | — |
| 249 | C4×Dic5 | — | 2 | 4 | no | — |
| 250 | C4×Dic5 | — | 2 | 4 | no | — |
| 251 | C4×Dic5 | — | 4 | 2 | no | — |
| 252 | C4×Dic5 | — | 4 | 2 | no | — |
| 253 | C24×C4 | — | 5 | 1 | no | — |
| 254 | #538 | — | 10 | 16 | no | — |
| 255 | C2×#126 | — | 5 | 4 | no | — |
| 256 | C2×#124 | — | 5 | 4 | no | — |
| 257 | C2×#124 | — | 5 | 2 | no | — |
| 258 | C2×#123 | — | 5 | 4 | no | — |
| 259 | C2×C22⋊Q8 | C2×D5 | 1 | 2 | yes | — |
| 260 | C2×#121 | — | 5 | 2 | no | — |
| 261 | C2×#121 | — | 5 | 2 | no | — |
| 262 | C2×#121 | — | 5 | 2 | no | — |
| 263 | C2×#121 | — | 5 | 4 | no | — |
| 264 | C2×#121 | — | 5 | 2 | no | — |
| 265 | C2×#121 | — | 5 | 2 | no | — |
| 266 | C2×#120 | — | 5 | 4 | no | — |
| 267 | C2×C4×D4 | — | 5 | 2 | no | — |
| 268 | C2×C4×D4 | — | 5 | 4 | no | — |
| 269 | C22×C22⋊C4 | — | 5 | 1 | no | — |
| 270 | C22×C22⋊C4 | — | 5 | 1 | no | — |
| 271 | C22×C42 | — | 5 | 1 | no | — |
| 272 | C22×C42 | — | 5 | 1 | no | — |
| 273 | #399 | — | 5 | 4 | no | — |
| 274 | #398 | C2×D5 | 1 | 4 | yes | complemented |
| 275 | #397 | — | 5 | 4 | no | — |
| 276 | #395 | C2×D5 | 1 | 4 | yes | complemented |
| 277 | #394 | — | 5 | 4 | no | — |
| 278 | #394 | — | 5 | 4 | no | — |
| 279 | #392 | — | 5 | 4 | no | — |
| 280 | #392 | — | 5 | 4 | no | — |
| 281 | #391 | — | 5 | 2 | no | — |
| 282 | #390 | — | 5 | 2 | no | — |
| 283 | #390 | — | 5 | 2 | no | — |
| 284 | #389 | — | 5 | 2 | no | — |
| 285 | #388 | — | 5 | 4 | no | — |
| 286 | #388 | — | 5 | 4 | no | — |
| 287 | #388 | — | 5 | 4 | no | — |
| 288 | #388 | — | 5 | 4 | no | — |
| 289 | #387 | — | 5 | 4 | no | — |
| 290 | #386 | — | 5 | 4 | no | — |
| 291 | #386 | — | 5 | 4 | no | — |
| 292 | #386 | — | 5 | 4 | no | — |
| 293 | #386 | — | 5 | 4 | no | — |
| 294 | #386 | — | 5 | 4 | no | — |
| 295 | #385 | — | 5 | 4 | no | — |
| 296 | #382 | — | 5 | 2 | no | — |
| 297 | #380 | — | 5 | 2 | no | — |
| 298 | #380 | — | 5 | 2 | no | — |
| 299 | #380 | C2×D5 | 1 | 2 | yes | — |
| 300 | #380 | C2×D5 | 1 | 2 | yes | — |
| 301 | C4×C4⋊C4 | — | 5 | 2 | no | — |
| 302 | C4×C22⋊C4 | — | 5 | 4 | no | — |
| 303 | C4×C22⋊C4 | — | 5 | 4 | no | — |
| 304 | C4×C22⋊C4 | — | 5 | 4 | no | — |
| 305 | C2×#95 | — | 5 | 1 | no | — |
| 306 | C2×#95 | C2×D5 | 1 | 1 | yes | characteristic |
| 307 | C23×C5 | — | 2 | 1 | no | — |
| 308 | C23×C5 | — | 2 | 1 | no | — |
| 309 | C23×C5 | — | 2 | 1 | no | — |
| 310 | C23×C5 | — | 2 | 1 | no | — |
| 311 | C23×C5 | C22×D4 | 1 | 2 | yes | — |
| 312 | C23×C5 | C2×#41 | 1 | 2 | yes | — |
| 313 | C23×C5 | C2×#41 | 1 | 2 | yes | — |
| 314 | C23×C5 | C25 | 1 | 1 | yes | characteristic |
| 315 | C22×D5 | — | 2 | 8 | no | — |
| 316 | C22×D5 | — | 2 | 2 | no | — |
| 317 | C22×D5 | — | 2 | 2 | no | — |
| 318 | C22×D5 | — | 2 | 2 | no | — |
| 319 | C22×D5 | — | 2 | 2 | no | — |
| 320 | C22×D5 | — | 2 | 2 | no | — |
| 321 | C22×D5 | — | 2 | 2 | no | — |
| 322 | C22×D5 | — | 2 | 4 | no | — |
| 323 | C22×D5 | — | 2 | 4 | no | — |
| 324 | C22×D5 | — | 2 | 4 | no | — |
| 325 | C22×D5 | — | 2 | 4 | no | — |
| 326 | C22×D5 | — | 2 | 4 | no | — |
| 327 | C22×D5 | — | 2 | 4 | no | — |
| 328 | C22×D5 | — | 2 | 4 | no | — |
| 329 | C22×D5 | — | 4 | 4 | no | — |
| 330 | C22×D5 | — | 4 | 4 | no | — |
| 331 | C22×D5 | — | 4 | 4 | no | — |
| 332 | C22×D5 | — | 4 | 4 | no | — |
| 333 | C22×D5 | — | 4 | 4 | no | — |
| 334 | C22×D5 | — | 4 | 4 | no | — |
| 335 | C22×D5 | C22×D4 | 1 | 4 | yes | — |
| 336 | C5×Q8 | — | 8 | 4 | no | — |
| 337 | C2×C4×C5 | — | 2 | 2 | no | — |
| 338 | C2×C4×C5 | — | 2 | 2 | no | — |
| 339 | C2×C4×C5 | — | 2 | 2 | no | — |
| 340 | C2×C4×C5 | — | 2 | 2 | no | — |
| 341 | C2×C4×C5 | — | 2 | 2 | no | — |
| 342 | C2×C4×C5 | — | 2 | 2 | no | — |
| 343 | C2×C4×C5 | — | 2 | 4 | no | — |
| 344 | C2×C4×C5 | — | 2 | 4 | no | — |
| 345 | C2×C4×C5 | — | 2 | 4 | no | — |
| 346 | C2×C4×C5 | — | 2 | 4 | no | — |
| 347 | C2×C4×C5 | — | 2 | 4 | no | — |
| 348 | C2×C4×C5 | — | 2 | 4 | no | — |
| 349 | C2×C4×C5 | — | 4 | 4 | no | — |
| 350 | C2×C4×C5 | — | 4 | 4 | no | — |
| 351 | C2×C4×C5 | — | 4 | 4 | no | — |
| 352 | C2×C4×C5 | C22×D4 | 1 | 4 | yes | — |
| 353 | C2×C4×C5 | C2×#41 | 1 | 4 | yes | — |
| 354 | C2×C4×C5 | C2×#41 | 1 | 4 | yes | — |
| 355 | C22⋊D5 | — | 4 | 16 | no | — |
| 356 | C2×Dic5 | — | 2 | 8 | no | — |
| 357 | C2×Dic5 | — | 2 | 1 | no | — |
| 358 | C2×Dic5 | — | 2 | 1 | no | — |
| 359 | C2×Dic5 | — | 2 | 2 | no | — |
| 360 | C2×Dic5 | — | 2 | 1 | no | — |
| 361 | C2×Dic5 | — | 2 | 1 | no | — |
| 362 | C2×Dic5 | — | 2 | 2 | no | — |
| 363 | C2×Dic5 | — | 2 | 4 | no | — |
| 364 | C2×Dic5 | — | 2 | 4 | no | — |
| 365 | C2×Dic5 | — | 2 | 4 | no | — |
| 366 | C2×Dic5 | — | 2 | 2 | no | — |
| 367 | C2×Dic5 | — | 2 | 2 | no | — |
| 368 | C2×Dic5 | — | 2 | 2 | no | — |
| 369 | C2×Dic5 | — | 4 | 4 | no | — |
| 370 | C2×Dic5 | — | 4 | 4 | no | — |
| 371 | C2×Dic5 | C22×D4 | 1 | 4 | yes | — |
| 372 | C2×Dic5 | H(5,𝔽2) | 1 | 2 | yes | — |
| 373 | C2×Dic5 | H(5,𝔽2) | 1 | 2 | yes | — |
| 374 | D20 | — | 4 | 8 | no | — |
| 375 | D20 | — | 8 | 4 | no | — |
| 376 | D20 | — | 8 | 4 | no | — |
| 377 | D20 | — | 8 | 8 | no | — |
| 378 | D20 | — | 8 | 8 | no | — |
| 379 | C4×D5 | — | 4 | 8 | no | — |
| 380 | C4×D5 | — | 4 | 8 | no | — |
| 381 | C4×D5 | — | 8 | 8 | no | — |
| 382 | C25 | — | 5 | 1 | no | — |
| 383 | C22×Q8 | C22×D5 | 1 | 2 | yes | — |
| 384 | C22×D4 | — | 5 | 4 | no | — |
| 385 | C22×D4 | — | 5 | 2 | no | — |
| 386 | C22×D4 | — | 5 | 4 | no | — |
| 387 | C22×D4 | — | 5 | 4 | no | — |
| 388 | C22×D4 | — | 5 | 2 | no | — |
| 389 | C22×D4 | — | 5 | 2 | no | — |
| 390 | C23×C4 | — | 5 | 1 | no | — |
| 391 | C23×C4 | — | 5 | 1 | no | — |
| 392 | C23×C4 | — | 5 | 1 | no | — |
| 393 | C23×C4 | — | 5 | 2 | no | — |
| 394 | C23×C4 | — | 5 | 2 | no | — |
| 395 | C23×C4 | — | 5 | 4 | no | — |
| 396 | C23×C4 | — | 10 | 4 | no | — |
| 397 | C23×C4 | — | 20 | 2 | no | — |
| 398 | C23×C4 | — | 20 | 2 | no | — |
| 399 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 400 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 401 | C23×C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 402 | #126 | — | 10 | 16 | no | — |
| 403 | #124 | — | 10 | 16 | no | — |
| 404 | #124 | — | 20 | 4 | no | — |
| 405 | #123 | — | 10 | 16 | no | — |
| 406 | C22⋊Q8 | — | 2 | 8 | no | — |
| 407 | #121 | — | 10 | 16 | no | — |
| 408 | #121 | — | 10 | 8 | no | — |
| 409 | #121 | — | 10 | 8 | no | — |
| 410 | #121 | — | 10 | 8 | no | — |
| 411 | #121 | — | 20 | 4 | no | — |
| 412 | #121 | — | 20 | 4 | no | — |
| 413 | #120 | — | 10 | 16 | no | — |
| 414 | C4×D4 | — | 10 | 16 | no | — |
| 415 | C4×D4 | — | 20 | 4 | no | — |
| 416 | C2×C4⋊C4 | — | 5 | 4 | no | — |
| 417 | C2×C4⋊C4 | — | 5 | 2 | no | — |
| 418 | C2×C4⋊C4 | — | 5 | 2 | no | — |
| 419 | C2×C4⋊C4 | — | 5 | 2 | no | — |
| 420 | C2×C4⋊C4 | C22×D5 | 1 | 4 | yes | — |
| 421 | C2×C4⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 422 | C2×C4⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 423 | C2×C4⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 424 | C2×C4⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 425 | C2×C4⋊C4 | C22×D5 | 1 | 2 | yes | — |
| 426 | C2×C22⋊C4 | — | 5 | 8 | no | — |
| 427 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 428 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 429 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 430 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 431 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 432 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 433 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 434 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 435 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 436 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 437 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 438 | C2×C22⋊C4 | — | 5 | 4 | no | — |
| 439 | C2×C22⋊C4 | — | 10 | 4 | no | — |
| 440 | C2×C22⋊C4 | C22×D5 | 1 | 4 | yes | — |
| 441 | C2×C42 | — | 5 | 4 | no | — |
| 442 | C2×C42 | — | 5 | 2 | no | — |
| 443 | C2×C42 | — | 5 | 2 | no | — |
| 444 | C2×C42 | — | 5 | 2 | no | — |
| 445 | C2×C42 | — | 5 | 2 | no | — |
| 446 | C2×C42 | — | 20 | 2 | no | — |
| 447 | C2×C42 | — | 20 | 2 | no | — |
| 448 | #95 | — | 5 | 4 | no | — |
| 449 | #95 | — | 5 | 4 | no | — |
| 450 | #95 | — | 5 | 4 | no | — |
| 451 | #95 | — | 5 | 4 | no | — |
| 452 | #95 | — | 5 | 4 | no | — |
| 453 | #95 | C22×D5 | 1 | 4 | yes | — |
| 454 | #95 | C22×D5 | 1 | 4 | yes | — |
| 455 | #95 | C22×D5 | 1 | 4 | yes | — |
| 456 | C22×C5 | — | 2 | 2 | no | — |
| 457 | C22×C5 | — | 2 | 2 | no | — |
| 458 | C22×C5 | — | 2 | 2 | no | — |
| 459 | C22×C5 | — | 2 | 2 | no | — |
| 460 | C22×C5 | — | 2 | 2 | no | — |
| 461 | C22×C5 | — | 2 | 2 | no | — |
| 462 | C22×C5 | #532 | 1 | 4 | yes | — |
| 463 | C22×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 464 | C22×C5 | C22×#41 | 1 | 1 | yes | characteristic |
| 465 | C22×C5 | C22×#41 | 1 | 1 | yes | characteristic |
| 466 | C22×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 467 | C22×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 468 | C22×C5 | #585 | 1 | 1 | yes | characteristic |
| 469 | C22×C5 | #585 | 1 | 1 | yes | characteristic |
| 470 | C2×D5 | — | 2 | 4 | no | — |
| 471 | C2×D5 | — | 2 | 4 | no | — |
| 472 | C2×D5 | — | 2 | 4 | no | — |
| 473 | C2×D5 | — | 4 | 16 | no | — |
| 474 | C2×D5 | — | 4 | 2 | no | — |
| 475 | C2×D5 | — | 4 | 2 | no | — |
| 476 | C2×D5 | — | 4 | 2 | no | — |
| 477 | C2×D5 | — | 4 | 2 | no | — |
| 478 | C2×D5 | — | 4 | 4 | no | — |
| 479 | C2×D5 | — | 4 | 4 | no | — |
| 480 | C2×D5 | — | 4 | 4 | no | — |
| 481 | C2×D5 | — | 4 | 4 | no | — |
| 482 | C2×D5 | — | 4 | 4 | no | — |
| 483 | C2×D5 | — | 4 | 4 | no | — |
| 484 | C2×D5 | — | 4 | 4 | no | — |
| 485 | C4×C5 | — | 2 | 4 | no | — |
| 486 | C4×C5 | — | 2 | 4 | no | — |
| 487 | C4×C5 | — | 2 | 4 | no | — |
| 488 | C4×C5 | — | 4 | 4 | no | — |
| 489 | C4×C5 | — | 4 | 4 | no | — |
| 490 | Dic5 | — | 2 | 2 | no | — |
| 491 | Dic5 | — | 2 | 2 | no | — |
| 492 | Dic5 | — | 2 | 4 | no | — |
| 493 | Dic5 | — | 4 | 4 | no | — |
| 494 | Dic5 | — | 4 | 2 | no | — |
| 495 | C24 | — | 5 | 2 | no | — |
| 496 | C24 | — | 5 | 4 | no | — |
| 497 | C24 | — | 5 | 4 | no | — |
| 498 | C24 | — | 10 | 2 | no | — |
| 499 | C24 | — | 10 | 2 | no | — |
| 500 | C24 | — | 20 | 1 | no | — |
| 501 | C24 | — | 20 | 1 | no | — |
| 502 | C24 | — | 20 | 1 | no | — |
| 503 | C24 | — | 20 | 1 | no | — |
| 504 | C24 | C23×D5 | 1 | 1 | yes | characteristic |
| 505 | C2×Q8 | — | 2 | 4 | no | — |
| 506 | C2×Q8 | — | 4 | 2 | no | — |
| 507 | C2×Q8 | — | 4 | 2 | no | — |
| 508 | C2×D4 | — | 10 | 8 | no | — |
| 509 | C2×D4 | — | 10 | 8 | no | — |
| 510 | C2×D4 | — | 10 | 8 | no | — |
| 511 | C2×D4 | — | 10 | 8 | no | — |
| 512 | C2×D4 | — | 10 | 8 | no | — |
| 513 | C2×D4 | — | 10 | 4 | no | — |
| 514 | C2×D4 | — | 10 | 4 | no | — |
| 515 | C2×D4 | — | 10 | 4 | no | — |
| 516 | C2×D4 | — | 20 | 2 | no | — |
| 517 | C2×D4 | — | 20 | 2 | no | — |
| 518 | C2×D4 | — | 20 | 2 | no | — |
| 519 | C2×D4 | — | 20 | 2 | no | — |
| 520 | C2×D4 | — | 20 | 4 | no | — |
| 521 | C2×D4 | — | 20 | 4 | no | — |
| 522 | C2×D4 | — | 20 | 2 | no | — |
| 523 | C2×D4 | — | 20 | 2 | no | — |
| 524 | C2×D4 | — | 20 | 4 | no | — |
| 525 | C2×D4 | — | 20 | 4 | no | — |
| 526 | C22×C4 | — | 4 | 1 | no | — |
| 527 | C22×C4 | — | 4 | 1 | no | — |
| 528 | C22×C4 | — | 4 | 1 | no | — |
| 529 | C22×C4 | — | 4 | 1 | no | — |
| 530 | C22×C4 | — | 4 | 1 | no | — |
| 531 | C22×C4 | — | 4 | 1 | no | — |
| 532 | C22×C4 | — | 5 | 1 | no | — |
| 533 | C22×C4 | — | 5 | 1 | no | — |
| 534 | C22×C4 | — | 5 | 2 | no | — |
| 535 | C22×C4 | — | 5 | 4 | no | — |
| 536 | C22×C4 | — | 5 | 2 | no | — |
| 537 | C22×C4 | — | 5 | 4 | no | — |
| 538 | C22×C4 | — | 10 | 4 | no | — |
| 539 | C22×C4 | — | 10 | 4 | no | — |
| 540 | C22×C4 | — | 10 | 8 | no | — |
| 541 | C22×C4 | — | 10 | 2 | no | — |
| 542 | C22×C4 | — | 10 | 2 | no | — |
| 543 | C22×C4 | — | 10 | 2 | no | — |
| 544 | C22×C4 | — | 10 | 2 | no | — |
| 545 | C22×C4 | — | 10 | 4 | no | — |
| 546 | C22×C4 | — | 10 | 4 | no | — |
| 547 | C22×C4 | — | 20 | 2 | no | — |
| 548 | C22×C4 | — | 20 | 2 | no | — |
| 549 | C22×C4 | — | 20 | 4 | no | — |
| 550 | C22×C4 | — | 20 | 4 | no | — |
| 551 | C22×C4 | — | 20 | 16 | no | — |
| 552 | C22×C4 | — | 20 | 1 | no | — |
| 553 | C22×C4 | — | 20 | 1 | no | — |
| 554 | C22×C4 | — | 20 | 1 | no | — |
| 555 | C22×C4 | — | 20 | 1 | no | — |
| 556 | C22×C4 | D4×D5 | 1 | 4 | yes | — |
| 557 | C22×C4 | #713 | 1 | 4 | yes | — |
| 558 | C22×C4 | #713 | 1 | 4 | yes | — |
| 559 | C22×C4 | C23×D5 | 1 | 4 | yes | — |
| 560 | C22×C4 | C23×D5 | 1 | 4 | yes | — |
| 561 | C22×C4 | C23×D5 | 1 | 2 | yes | — |
| 562 | C22×C4 | C23×D5 | 1 | 2 | yes | — |
| 563 | C22×C4 | C23×D5 | 1 | 2 | yes | — |
| 564 | C4⋊C4 | — | 2 | 8 | no | — |
| 565 | C4⋊C4 | — | 2 | 4 | no | — |
| 566 | C4⋊C4 | — | 4 | 2 | no | — |
| 567 | C4⋊C4 | — | 4 | 2 | no | — |
| 568 | C4⋊C4 | — | 4 | 2 | no | — |
| 569 | C4⋊C4 | — | 4 | 2 | no | — |
| 570 | C4⋊C4 | — | 10 | 8 | no | — |
| 571 | C4⋊C4 | — | 10 | 4 | no | — |
| 572 | C4⋊C4 | — | 10 | 4 | no | — |
| 573 | C4⋊C4 | — | 10 | 4 | no | — |
| 574 | C22⋊C4 | — | 2 | 8 | no | — |
| 575 | C22⋊C4 | — | 5 | 16 | no | — |
| 576 | C22⋊C4 | — | 10 | 8 | no | — |
| 577 | C22⋊C4 | — | 10 | 8 | no | — |
| 578 | C22⋊C4 | — | 10 | 8 | no | — |
| 579 | C22⋊C4 | — | 10 | 8 | no | — |
| 580 | C22⋊C4 | — | 10 | 8 | no | — |
| 581 | C22⋊C4 | — | 10 | 8 | no | — |
| 582 | C22⋊C4 | — | 10 | 8 | no | — |
| 583 | C22⋊C4 | — | 10 | 8 | no | — |
| 584 | C22⋊C4 | — | 10 | 8 | no | — |
| 585 | C22⋊C4 | — | 20 | 4 | no | — |
| 586 | C22⋊C4 | — | 20 | 4 | no | — |
| 587 | C42 | — | 10 | 4 | no | — |
| 588 | C42 | — | 10 | 4 | no | — |
| 589 | C42 | — | 10 | 8 | no | — |
| 590 | C42 | — | 20 | 2 | no | — |
| 591 | C42 | — | 20 | 2 | no | — |
| 592 | C2×C5 | — | 2 | 4 | no | — |
| 593 | C2×C5 | C2×#532 | 1 | 1 | yes | characteristic |
| 594 | C2×C5 | #3459 | 1 | 1 | yes | characteristic |
| 595 | C2×C5 | #3460 | 1 | 1 | yes | characteristic |
| 596 | C2×C5 | #3490 | 1 | 1 | yes | characteristic |
| 597 | C2×C5 | #3493 | 1 | 1 | yes | characteristic |
| 598 | C2×C5 | #3496 | 1 | 1 | yes | characteristic |
| 599 | C2×C5 | #3496 | 1 | 1 | yes | characteristic |
| 600 | D5 | — | 4 | 4 | no | — |
| 601 | D5 | — | 8 | 4 | no | — |
| 602 | C23 | — | 2 | 1 | no | — |
| 603 | C23 | — | 2 | 1 | no | — |
| 604 | C23 | — | 2 | 1 | no | — |
| 605 | C23 | — | 2 | 1 | no | — |
| 606 | C23 | — | 5 | 4 | no | — |
| 607 | C23 | — | 10 | 8 | no | — |
| 608 | C23 | — | 10 | 2 | no | — |
| 609 | C23 | — | 10 | 2 | no | — |
| 610 | C23 | — | 10 | 2 | no | — |
| 611 | C23 | — | 10 | 2 | no | — |
| 612 | C23 | — | 10 | 2 | no | — |
| 613 | C23 | — | 10 | 2 | no | — |
| 614 | C23 | — | 10 | 4 | no | — |
| 615 | C23 | — | 10 | 4 | no | — |
| 616 | C23 | — | 10 | 4 | no | — |
| 617 | C23 | — | 10 | 4 | no | — |
| 618 | C23 | — | 10 | 4 | no | — |
| 619 | C23 | — | 10 | 4 | no | — |
| 620 | C23 | — | 10 | 4 | no | — |
| 621 | C23 | — | 20 | 4 | no | — |
| 622 | C23 | — | 20 | 4 | no | — |
| 623 | C23 | — | 20 | 4 | no | — |
| 624 | C23 | — | 20 | 4 | no | — |
| 625 | C23 | — | 20 | 4 | no | — |
| 626 | C23 | — | 20 | 4 | no | — |
| 627 | C23 | C2×D4×D5 | 1 | 2 | yes | — |
| 628 | C23 | C2×#713 | 1 | 2 | yes | — |
| 629 | C23 | C2×#713 | 1 | 2 | yes | — |
| 630 | C23 | C24×D5 | 1 | 1 | yes | characteristic |
| 631 | Q8 | — | 8 | 4 | no | — |
| 632 | D4 | — | 20 | 8 | no | — |
| 633 | D4 | — | 20 | 16 | no | — |
| 634 | D4 | — | 40 | 4 | no | — |
| 635 | D4 | — | 40 | 4 | no | — |
| 636 | D4 | — | 40 | 8 | no | — |
| 637 | D4 | — | 40 | 8 | no | — |
| 638 | C2×C4 | — | 2 | 2 | no | — |
| 639 | C2×C4 | — | 2 | 2 | no | — |
| 640 | C2×C4 | — | 2 | 2 | no | — |
| 641 | C2×C4 | — | 2 | 2 | no | — |
| 642 | C2×C4 | — | 2 | 2 | no | — |
| 643 | C2×C4 | — | 2 | 2 | no | — |
| 644 | C2×C4 | — | 2 | 4 | no | — |
| 645 | C2×C4 | — | 2 | 4 | no | — |
| 646 | C2×C4 | — | 2 | 4 | no | — |
| 647 | C2×C4 | — | 2 | 4 | no | — |
| 648 | C2×C4 | — | 2 | 4 | no | — |
| 649 | C2×C4 | — | 2 | 4 | no | — |
| 650 | C2×C4 | — | 4 | 4 | no | — |
| 651 | C2×C4 | — | 4 | 4 | no | — |
| 652 | C2×C4 | — | 4 | 4 | no | — |
| 653 | C2×C4 | — | 5 | 4 | no | — |
| 654 | C2×C4 | — | 5 | 2 | no | — |
| 655 | C2×C4 | — | 5 | 2 | no | — |
| 656 | C2×C4 | — | 10 | 8 | no | — |
| 657 | C2×C4 | — | 10 | 1 | no | — |
| 658 | C2×C4 | — | 10 | 1 | no | — |
| 659 | C2×C4 | — | 10 | 2 | no | — |
| 660 | C2×C4 | — | 10 | 1 | no | — |
| 661 | C2×C4 | — | 10 | 1 | no | — |
| 662 | C2×C4 | — | 10 | 2 | no | — |
| 663 | C2×C4 | — | 10 | 4 | no | — |
| 664 | C2×C4 | — | 10 | 2 | no | — |
| 665 | C2×C4 | — | 10 | 4 | no | — |
| 666 | C2×C4 | — | 10 | 4 | no | — |
| 667 | C2×C4 | — | 10 | 2 | no | — |
| 668 | C2×C4 | — | 10 | 2 | no | — |
| 669 | C2×C4 | — | 20 | 8 | no | — |
| 670 | C2×C4 | — | 20 | 8 | no | — |
| 671 | C2×C4 | — | 20 | 4 | no | — |
| 672 | C2×C4 | — | 20 | 4 | no | — |
| 673 | C2×C4 | — | 40 | 8 | no | — |
| 674 | C2×C4 | C2×D4×D5 | 1 | 4 | yes | — |
| 675 | C2×C4 | C2×#713 | 1 | 4 | yes | — |
| 676 | C2×C4 | C2×#713 | 1 | 4 | yes | — |
| 677 | C5 | #35003 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 678 | C22 | — | 2 | 2 | no | — |
| 679 | C22 | — | 2 | 2 | no | — |
| 680 | C22 | — | 2 | 2 | no | — |
| 681 | C22 | — | 2 | 2 | no | — |
| 682 | C22 | — | 2 | 2 | no | — |
| 683 | C22 | — | 2 | 2 | no | — |
| 684 | C22 | — | 10 | 4 | no | — |
| 685 | C22 | — | 10 | 4 | no | — |
| 686 | C22 | — | 10 | 4 | no | — |
| 687 | C22 | — | 20 | 16 | no | — |
| 688 | C22 | — | 20 | 2 | no | — |
| 689 | C22 | — | 20 | 2 | no | — |
| 690 | C22 | — | 20 | 2 | no | — |
| 691 | C22 | — | 20 | 2 | no | — |
| 692 | C22 | — | 20 | 4 | no | — |
| 693 | C22 | — | 20 | 4 | no | — |
| 694 | C22 | — | 20 | 4 | no | — |
| 695 | C22 | — | 20 | 4 | no | — |
| 696 | C22 | — | 20 | 4 | no | — |
| 697 | C22 | — | 20 | 4 | no | — |
| 698 | C22 | — | 20 | 4 | no | — |
| 699 | C22 | #66059 | 1 | 4 | yes | — |
| 700 | C22 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 701 | C22 | C22×#713 | 1 | 1 | yes | characteristic |
| 702 | C22 | C22×#713 | 1 | 1 | yes | characteristic |
| 703 | C22 | D5×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 704 | C22 | D5×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 705 | C22 | #66285 | 1 | 1 | yes | characteristic |
| 706 | C22 | #66287 | 1 | 1 | yes | characteristic |
| 707 | C4 | — | 2 | 4 | no | — |
| 708 | C4 | — | 2 | 4 | no | — |
| 709 | C4 | — | 2 | 4 | no | — |
| 710 | C4 | — | 4 | 4 | no | — |
| 711 | C4 | — | 4 | 4 | no | — |
| 712 | C4 | — | 10 | 2 | no | — |
| 713 | C4 | — | 10 | 2 | no | — |
| 714 | C4 | — | 10 | 4 | no | — |
| 715 | C4 | — | 20 | 2 | no | — |
| 716 | C4 | — | 20 | 4 | no | — |
| 717 | C2 | — | 2 | 4 | no | — |
| 718 | C2 | — | 20 | 4 | no | — |
| 719 | C2 | — | 40 | 4 | no | — |
| 720 | C2 | C2×#66059 | 1 | 1 | yes | characteristic |
| 721 | C2 | #10618199 | 1 | 1 | yes | characteristic |
| 722 | C2 | #10618283 | 1 | 1 | yes | characteristic |
| 723 | C2 | #10618473 | 1 | 1 | yes | characteristic |
| 724 | C2 | #10618480 | 1 | 1 | yes | characteristic |
| 725 | C2 | #10618483 | 1 | 1 | yes | characteristic |
| 726 | C2 | #10618485 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C23 | C24×D5 |
| commutator, socle, cosocle | C23×C5 | C25 |
| Fitting | C5×#2659 | C2 |
| hypercenter | #2659 | D5 |
| hypocenter | C5 | #35003 |
| LCS | G ▷ C23×C5 ▷ C5 | |
| UCS | C1 ◁ C23 ◁ #2659 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#65978 | C2 | semidirect |
| 2. C5×#2659 | C2 | semidirect |
| 3. #10614540 | C2 | semidirect |
| 4. #10609519 | C2 | semidirect |
| 5. #10609484 | C2 | semidirect |
| 6. #10608918 | C2 | semidirect |
| 7. #10608915 | C2 | semidirect |
| 8. #10605779 | C2 | semidirect |
| 9. #10605762 | C2 | semidirect |
| 10. #10605604 | C2 | semidirect |
| 11. #10605596 | C2 | semidirect |
| 12. #10605112 | C2 | semidirect |
| 13. C2×#64955 | C2 | semidirect |
| 17. C2×#4093 | C22 | semidirect |
| 31. C2×#4039 | C22 | semidirect |
| 34. C5×#398 | C22 | semidirect |
| 35. C5×#395 | C22 | semidirect |
| 39. #65519 | C22 | semidirect |
| 43. #65279 | C22 | semidirect |
| 44. #65279 | C22 | semidirect |
| 45. #65279 | C22 | semidirect |
| 46. #65278 | C22 | semidirect |
| 47. #65277 | C22 | semidirect |
| 48. #65277 | C22 | semidirect |
| 51. #65266 | C22 | semidirect |
| 52. C4⋊C4×Dic5 | C22 | semidirect |
| 53. #65262 | C22 | semidirect |
| 56. #64966 | C22 | semidirect |
| 59. #64960 | C22 | semidirect |
| 60. #64958 | C22 | semidirect |
| 63. #64955 | C22 | semidirect |
| 66. #64954 | C22 | semidirect |
| 67. #64943 | C22 | semidirect |
| 103. C2×#685 | D4 | semidirect |
| 146. #2659 | D5 | semidirect |
| 274. #398 | C2×D5 | semidirect |
| 276. #395 | C2×D5 | semidirect |
| 677. C5 | #35003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65978 | 2 |
| C5×#2659 | 2 |
| #10614540 | 2 |
| #10609519 | 2 |
| #10609484 | 2 |
| #10608918 | 2 |
| #10608915 | 2 |
| #10605779 | 2 |
| #10605762 | 2 |
| #10605604 | 2 |
| #10605596 | 2 |
| #10605112 | 2 |
| C2×#64955 | 2 |
| #35003 | 5 |