Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
2598 conjugacy classes of subgroups.
The subgroup lattice has 744 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#66113 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C2×#66100 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#66087 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×C5×#473 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#65494 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C2×#65470 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#65433 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10612678 | C2 | 1 | 16 | yes | maximal, direct product factor |
| 9 | C2×#65185 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#65184 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C2×#65044 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | C2×#65041 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | C2×#4150 | C22 | 1 | 2 | yes | — |
| 14 | C2×#4147 | C22 | 1 | 2 | yes | — |
| 15 | C2×C5×#137 | C22 | 1 | 2 | yes | — |
| 16 | C22×C5×Q16 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C5×#131 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#4096 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#4090 | C22 | 1 | 2 | yes | — |
| 20 | C22×#689 | C22 | 1 | 2 | yes | — |
| 21 | C2×#4088 | C22 | 1 | 2 | yes | — |
| 22 | #66113 | — | 2 | 8 | no | — |
| 23 | #66113 | C22 | 1 | 16 | yes | complemented |
| 24 | #66100 | — | 2 | 4 | no | — |
| 25 | #66100 | C22 | 1 | 8 | yes | complemented |
| 26 | C2×#4065 | — | 2 | 1 | no | — |
| 27 | C2×#4064 | — | 2 | 2 | no | — |
| 28 | C2×#4064 | — | 2 | 2 | no | — |
| 29 | C2×D5×Q16 | — | 2 | 2 | no | — |
| 30 | C2×D5×Q16 | — | 2 | 1 | no | — |
| 31 | C2×#4062 | — | 2 | 2 | no | — |
| 32 | C2×#4061 | — | 2 | 2 | no | — |
| 33 | #66087 | — | 2 | 4 | no | — |
| 34 | #66087 | C22 | 1 | 8 | yes | complemented |
| 35 | C2×#4055 | — | 2 | 2 | no | — |
| 36 | C2×#4055 | C22 | 1 | 2 | yes | — |
| 37 | C2×#4055 | C22 | 1 | 2 | yes | — |
| 38 | C2×#4053 | C22 | 1 | 2 | yes | — |
| 39 | C22×Dic20 | — | 2 | 1 | no | — |
| 40 | C22×Dic20 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#4050 | — | 2 | 1 | no | — |
| 42 | C2×#4050 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#4047 | C22 | 1 | 1 | yes | characteristic |
| 44 | C5×#473 | C22 | 1 | 8 | yes | complemented |
| 45 | C2×C5×#108 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×C5×#101 | C22 | 1 | 2 | yes | — |
| 47 | C2×#3969 | C22 | 1 | 1 | yes | characteristic |
| 48 | #65494 | C22 | 1 | 16 | yes | complemented |
| 49 | #65470 | C22 | 1 | 8 | yes | complemented |
| 50 | #65433 | C22 | 1 | 8 | yes | complemented |
| 51 | C2×#3957 | C22 | 1 | 1 | yes | characteristic |
| 52 | C2×#3957 | C22 | 1 | 2 | yes | — |
| 53 | C2×#3956 | C22 | 1 | 2 | yes | — |
| 54 | C2×#3954 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×C8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 56 | #65185 | C22 | 1 | 8 | yes | complemented |
| 57 | #65184 | C22 | 1 | 8 | yes | complemented |
| 58 | #65044 | C22 | 1 | 16 | yes | complemented |
| 59 | #65041 | C22 | 1 | 16 | yes | complemented |
| 60 | C2×#3293 | — | 5 | 1 | no | maximal, Sylow |
| 61 | C2×C5×#41 | C23 | 1 | 1 | yes | characteristic |
| 62 | C22×C5×Q8 | C23 | 1 | 2 | yes | — |
| 63 | #4150 | — | 2 | 4 | no | — |
| 64 | #4150 | — | 2 | 4 | no | — |
| 65 | #4150 | — | 4 | 2 | no | — |
| 66 | #4150 | C23 | 1 | 8 | yes | — |
| 67 | #4147 | — | 2 | 4 | no | — |
| 68 | #4147 | — | 2 | 4 | no | — |
| 69 | #4147 | — | 4 | 2 | no | — |
| 70 | #4147 | C23 | 1 | 8 | yes | — |
| 71 | C2×#713 | — | 2 | 2 | no | — |
| 72 | C2×#713 | — | 2 | 2 | no | — |
| 73 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 74 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 75 | C2×Q8×D5 | — | 2 | 2 | no | — |
| 76 | C2×#711 | — | 2 | 2 | no | — |
| 77 | C2×#711 | — | 4 | 2 | no | — |
| 78 | C2×#709 | — | 2 | 2 | no | — |
| 79 | C2×#709 | — | 4 | 2 | no | — |
| 80 | C2×#709 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×#709 | C23 | 1 | 2 | yes | — |
| 82 | C22×Dic10 | — | 2 | 2 | no | — |
| 83 | C22×Dic10 | C23 | 1 | 2 | yes | — |
| 84 | C5×#137 | — | 2 | 4 | no | — |
| 85 | C5×#137 | C23 | 1 | 8 | yes | — |
| 86 | C2×C5×Q16 | — | 2 | 2 | no | — |
| 87 | C2×C5×Q16 | — | 2 | 1 | no | — |
| 88 | C2×C5×Q16 | — | 2 | 1 | no | — |
| 89 | C2×C5×Q16 | — | 2 | 2 | no | — |
| 90 | C2×C5×Q16 | C23 | 1 | 4 | yes | — |
| 91 | C2×C5×SD16 | — | 2 | 2 | no | — |
| 92 | C5×#131 | — | 2 | 2 | no | — |
| 93 | C5×#131 | C23 | 1 | 4 | yes | — |
| 94 | C2×C5×M16 | — | 2 | 1 | no | — |
| 95 | C2×C5×M16 | C23 | 1 | 2 | yes | — |
| 96 | C2×C5×M16 | C23 | 1 | 1 | yes | characteristic |
| 97 | C22×C5×C8 | — | 2 | 1 | no | — |
| 98 | C22×C5×C8 | C23 | 1 | 1 | yes | characteristic |
| 99 | #4096 | D4 | 1 | 4 | yes | — |
| 100 | #4096 | C23 | 1 | 4 | yes | — |
| 101 | #4090 | — | 4 | 2 | no | — |
| 102 | #4090 | C23 | 1 | 8 | yes | — |
| 103 | C2×#689 | — | 2 | 2 | no | — |
| 104 | C2×#689 | — | 2 | 2 | no | — |
| 105 | C2×#689 | — | 2 | 2 | no | — |
| 106 | C2×#689 | — | 2 | 4 | no | — |
| 107 | C2×#689 | D4 | 1 | 1 | yes | characteristic |
| 108 | C2×#689 | C23 | 1 | 8 | yes | — |
| 109 | #4088 | — | 2 | 4 | no | — |
| 110 | #4088 | C23 | 1 | 8 | yes | — |
| 111 | C2×#688 | — | 2 | 2 | no | — |
| 112 | C2×#688 | D4 | 1 | 1 | yes | characteristic |
| 113 | C2×#687 | D4 | 1 | 1 | yes | characteristic |
| 114 | C2×#686 | D4 | 1 | 1 | yes | characteristic |
| 115 | C2×#683 | — | 4 | 2 | no | — |
| 116 | C2×C4×Dic5 | C23 | 1 | 1 | yes | characteristic |
| 117 | C2×#681 | C23 | 1 | 1 | yes | characteristic |
| 118 | C22×#168 | C23 | 1 | 1 | yes | characteristic |
| 119 | #4065 | — | 2 | 8 | no | — |
| 120 | #4064 | — | 2 | 16 | no | — |
| 121 | #4064 | — | 2 | 16 | no | — |
| 122 | D5×Q16 | — | 2 | 16 | no | — |
| 123 | D5×Q16 | — | 2 | 8 | no | — |
| 124 | #4062 | — | 2 | 16 | no | — |
| 125 | #4061 | — | 2 | 16 | no | — |
| 126 | #4055 | — | 2 | 4 | no | — |
| 127 | #4055 | — | 2 | 4 | no | — |
| 128 | #4055 | — | 2 | 16 | no | — |
| 129 | #4055 | C23 | 1 | 8 | yes | — |
| 130 | #4055 | C23 | 1 | 8 | yes | — |
| 131 | #4053 | — | 2 | 4 | no | — |
| 132 | #4053 | C23 | 1 | 8 | yes | — |
| 133 | C2×Dic20 | — | 2 | 2 | no | — |
| 134 | C2×Dic20 | — | 2 | 2 | no | — |
| 135 | C2×Dic20 | — | 2 | 1 | no | — |
| 136 | C2×Dic20 | — | 2 | 1 | no | — |
| 137 | C2×Dic20 | — | 2 | 2 | no | — |
| 138 | C2×Dic20 | — | 2 | 8 | no | — |
| 139 | C2×Dic20 | D4 | 1 | 1 | yes | characteristic |
| 140 | C2×Dic20 | C23 | 1 | 4 | yes | — |
| 141 | #4050 | — | 2 | 8 | no | — |
| 142 | #4050 | D4 | 1 | 4 | yes | — |
| 143 | #4050 | C23 | 1 | 4 | yes | — |
| 144 | C2×D40 | D4 | 1 | 1 | yes | characteristic |
| 145 | C2×#677 | — | 2 | 2 | no | — |
| 146 | C2×#677 | — | 2 | 2 | no | — |
| 147 | C2×#677 | D4 | 1 | 2 | yes | — |
| 148 | #4047 | — | 2 | 2 | no | — |
| 149 | #4047 | C23 | 1 | 4 | yes | — |
| 150 | C2×#676 | — | 2 | 1 | no | — |
| 151 | C2×#676 | — | 2 | 2 | no | — |
| 152 | C2×C8×D5 | — | 2 | 1 | no | — |
| 153 | C2×C8×D5 | — | 2 | 2 | no | — |
| 154 | C5×#108 | C23 | 1 | 4 | yes | — |
| 155 | C5×#101 | C23 | 1 | 8 | yes | — |
| 156 | #3969 | C23 | 1 | 4 | yes | — |
| 157 | #3957 | C23 | 1 | 4 | yes | — |
| 158 | #3957 | C23 | 1 | 8 | yes | — |
| 159 | #3956 | C23 | 1 | 8 | yes | — |
| 160 | #3954 | C23 | 1 | 4 | yes | — |
| 161 | C8×Dic5 | C23 | 1 | 4 | yes | — |
| 162 | C2×#578 | — | 5 | 2 | no | — |
| 163 | C2×#578 | — | 5 | 1 | no | — |
| 164 | C2×#578 | — | 5 | 1 | no | — |
| 165 | #3293 | — | 5 | 16 | no | — |
| 166 | C2×#494 | — | 5 | 1 | no | — |
| 167 | C2×#473 | — | 5 | 1 | no | — |
| 168 | C2×#473 | — | 5 | 2 | no | — |
| 169 | C2×#473 | D5 | 1 | 1 | yes | characteristic, complemented |
| 170 | C2×#456 | — | 5 | 2 | no | — |
| 171 | C2×#456 | — | 5 | 2 | no | — |
| 172 | C2×#443 | — | 5 | 1 | no | — |
| 173 | C2×#443 | — | 5 | 1 | no | — |
| 174 | C5×#41 | — | 2 | 1 | no | — |
| 175 | C5×#41 | — | 2 | 1 | no | — |
| 176 | C5×#41 | C2×D4 | 1 | 2 | yes | — |
| 177 | C5×#41 | C24 | 1 | 2 | yes | — |
| 178 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 179 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 180 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 181 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 182 | C2×C5×Q8 | — | 2 | 2 | no | — |
| 183 | C2×C5×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C2×C5×Q8 | C24 | 1 | 4 | yes | — |
| 185 | C2×C5×D4 | — | 2 | 1 | no | — |
| 186 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C22×C4×C5 | — | 2 | 1 | no | — |
| 188 | C22×C4×C5 | — | 2 | 2 | no | — |
| 189 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 190 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 191 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 192 | C2×C22⋊D5 | — | 4 | 2 | no | — |
| 193 | C22×Dic5 | — | 2 | 1 | no | — |
| 194 | C22×Dic5 | — | 2 | 2 | no | — |
| 195 | C22×Dic5 | — | 4 | 2 | no | — |
| 196 | #713 | — | 2 | 8 | no | — |
| 197 | #713 | — | 2 | 8 | no | — |
| 198 | #713 | — | 4 | 4 | no | — |
| 199 | #713 | — | 4 | 4 | no | — |
| 200 | Q8×D5 | — | 2 | 8 | no | — |
| 201 | Q8×D5 | — | 2 | 8 | no | — |
| 202 | Q8×D5 | — | 2 | 8 | no | — |
| 203 | Q8×D5 | — | 4 | 4 | no | — |
| 204 | Q8×D5 | — | 4 | 4 | no | — |
| 205 | Q8×D5 | — | 4 | 4 | no | — |
| 206 | #711 | — | 2 | 8 | no | — |
| 207 | #711 | — | 4 | 4 | no | — |
| 208 | #711 | — | 4 | 8 | no | — |
| 209 | #711 | — | 4 | 8 | no | — |
| 210 | #709 | — | 2 | 1 | no | — |
| 211 | #709 | — | 2 | 2 | no | — |
| 212 | #709 | — | 2 | 1 | no | — |
| 213 | #709 | — | 2 | 2 | no | — |
| 214 | #709 | — | 2 | 8 | no | — |
| 215 | #709 | — | 4 | 4 | no | — |
| 216 | #709 | — | 4 | 8 | no | — |
| 217 | #709 | — | 4 | 8 | no | — |
| 218 | #709 | C2×D4 | 1 | 2 | yes | — |
| 219 | #709 | C2×D4 | 1 | 4 | yes | — |
| 220 | #709 | C24 | 1 | 2 | yes | — |
| 221 | #709 | C24 | 1 | 4 | yes | — |
| 222 | C2×D20 | — | 4 | 2 | no | — |
| 223 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 224 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C2×C4×D5 | — | 2 | 2 | no | — |
| 226 | C2×C4×D5 | — | 2 | 1 | no | — |
| 227 | C2×C4×D5 | — | 4 | 2 | no | — |
| 228 | C2×C4×D5 | — | 4 | 2 | no | — |
| 229 | C2×C4×D5 | — | 4 | 2 | no | — |
| 230 | C2×Dic10 | — | 2 | 2 | no | — |
| 231 | C2×Dic10 | — | 2 | 2 | no | — |
| 232 | C2×Dic10 | — | 2 | 2 | no | — |
| 233 | C2×Dic10 | — | 2 | 2 | no | — |
| 234 | C2×Dic10 | — | 2 | 8 | no | — |
| 235 | C2×Dic10 | — | 2 | 2 | no | — |
| 236 | C2×Dic10 | — | 4 | 4 | no | — |
| 237 | C2×Dic10 | — | 4 | 2 | no | — |
| 238 | C2×Dic10 | — | 4 | 2 | no | — |
| 239 | C2×Dic10 | C2×D4 | 1 | 2 | yes | — |
| 240 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C2×Dic10 | C24 | 1 | 4 | yes | — |
| 242 | C5×Q16 | — | 2 | 8 | no | — |
| 243 | C5×Q16 | — | 2 | 4 | no | — |
| 244 | C5×Q16 | — | 2 | 4 | no | — |
| 245 | C5×SD16 | — | 2 | 8 | no | — |
| 246 | C5×M16 | — | 2 | 1 | no | — |
| 247 | C5×M16 | — | 2 | 2 | no | — |
| 248 | C5×M16 | — | 2 | 4 | no | — |
| 249 | C5×M16 | C24 | 1 | 2 | yes | — |
| 250 | C5×M16 | C24 | 1 | 4 | yes | — |
| 251 | C2×C5×C8 | — | 2 | 1 | no | — |
| 252 | C2×C5×C8 | — | 2 | 2 | no | — |
| 253 | C2×C5×C8 | — | 2 | 4 | no | — |
| 254 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C2×C5×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C2×C5×C8 | C2×D4 | 1 | 2 | yes | — |
| 257 | C2×C5×C8 | C24 | 1 | 2 | yes | — |
| 258 | #689 | — | 2 | 8 | no | — |
| 259 | #689 | — | 2 | 8 | no | — |
| 260 | #689 | — | 2 | 8 | no | — |
| 261 | #689 | C2×D4 | 1 | 4 | yes | — |
| 262 | #688 | — | 2 | 8 | no | — |
| 263 | #688 | C2×D4 | 1 | 4 | yes | — |
| 264 | #687 | C2×D4 | 1 | 4 | yes | — |
| 265 | #686 | C2×D4 | 1 | 4 | yes | — |
| 266 | #683 | — | 4 | 8 | no | — |
| 267 | C4×Dic5 | — | 2 | 1 | no | — |
| 268 | C4×Dic5 | C24 | 1 | 2 | yes | — |
| 269 | #681 | — | 2 | 1 | no | — |
| 270 | #681 | C24 | 1 | 2 | yes | — |
| 271 | C2×#168 | — | 2 | 1 | no | — |
| 272 | C2×#168 | C2×D4 | 1 | 2 | yes | — |
| 273 | C2×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | C2×#168 | C2×D4 | 1 | 1 | yes | characteristic |
| 275 | C2×#168 | C24 | 1 | 2 | yes | — |
| 276 | Dic20 | — | 2 | 8 | no | — |
| 277 | Dic20 | — | 2 | 8 | no | — |
| 278 | Dic20 | — | 2 | 4 | no | — |
| 279 | Dic20 | — | 2 | 4 | no | — |
| 280 | Dic20 | C2×D4 | 1 | 4 | yes | — |
| 281 | D40 | C2×D4 | 1 | 4 | yes | — |
| 282 | #677 | — | 2 | 8 | no | — |
| 283 | #677 | — | 2 | 8 | no | — |
| 284 | #677 | C2×D4 | 1 | 8 | yes | — |
| 285 | #676 | — | 2 | 4 | no | — |
| 286 | #676 | — | 2 | 8 | no | — |
| 287 | C8×D5 | — | 2 | 4 | no | — |
| 288 | C8×D5 | — | 2 | 8 | no | — |
| 289 | C2×2−1+4 | — | 5 | 2 | no | — |
| 290 | C2×2−1+4 | — | 5 | 2 | no | — |
| 291 | #578 | — | 5 | 16 | no | — |
| 292 | #578 | — | 5 | 8 | no | — |
| 293 | #578 | — | 5 | 8 | no | — |
| 294 | #578 | — | 10 | 4 | no | — |
| 295 | #578 | — | 10 | 4 | no | — |
| 296 | #578 | — | 10 | 8 | no | — |
| 297 | C2×#137 | — | 5 | 2 | no | — |
| 298 | C2×#137 | — | 5 | 2 | no | — |
| 299 | C2×#137 | — | 5 | 2 | no | — |
| 300 | C2×#137 | — | 10 | 2 | no | — |
| 301 | C2×#137 | — | 10 | 2 | no | — |
| 302 | C2×#137 | — | 10 | 2 | no | — |
| 303 | C2×#137 | — | 10 | 2 | no | — |
| 304 | C2×#137 | C2×D5 | 1 | 2 | yes | — |
| 305 | C2×#135 | — | 5 | 1 | no | — |
| 306 | C2×#135 | — | 5 | 1 | no | — |
| 307 | C2×#135 | — | 10 | 1 | no | — |
| 308 | C2×#135 | — | 10 | 2 | no | — |
| 309 | C2×#135 | — | 10 | 1 | no | — |
| 310 | C22×Q16 | — | 5 | 2 | no | — |
| 311 | C22×Q16 | — | 5 | 1 | no | — |
| 312 | C22×Q16 | — | 10 | 1 | no | — |
| 313 | C22×Q16 | — | 10 | 2 | no | — |
| 314 | C22×Q16 | — | 10 | 1 | no | — |
| 315 | C22×Q16 | C2×D5 | 1 | 1 | yes | characteristic |
| 316 | C2×#131 | — | 5 | 2 | no | — |
| 317 | C2×#131 | — | 5 | 1 | no | — |
| 318 | C2×#131 | C2×D5 | 1 | 1 | yes | characteristic |
| 319 | C2×C4⋊Q8 | — | 5 | 2 | no | — |
| 320 | #494 | — | 5 | 8 | no | — |
| 321 | #473 | — | 5 | 8 | no | — |
| 322 | #473 | — | 5 | 16 | no | — |
| 323 | #473 | C2×D5 | 1 | 8 | yes | complemented |
| 324 | #456 | — | 5 | 16 | no | — |
| 325 | #456 | — | 5 | 16 | no | — |
| 326 | #443 | — | 5 | 8 | no | — |
| 327 | #443 | — | 5 | 8 | no | — |
| 328 | C2×#108 | — | 5 | 1 | no | — |
| 329 | C2×#108 | C2×D5 | 1 | 1 | yes | characteristic |
| 330 | C2×#104 | — | 5 | 1 | no | — |
| 331 | C2×#104 | — | 5 | 2 | no | — |
| 332 | C2×#104 | — | 5 | 1 | no | — |
| 333 | C2×#101 | — | 5 | 2 | no | — |
| 334 | C2×#101 | C2×D5 | 1 | 2 | yes | — |
| 335 | C2×C4×C8 | — | 5 | 1 | no | — |
| 336 | C23×C5 | — | 2 | 1 | no | — |
| 337 | C23×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 338 | C22×D5 | — | 2 | 1 | no | — |
| 339 | C22×D5 | — | 2 | 2 | no | — |
| 340 | C5×Q8 | — | 2 | 1 | no | — |
| 341 | C5×Q8 | — | 2 | 4 | no | — |
| 342 | C5×Q8 | — | 2 | 4 | no | — |
| 343 | C5×Q8 | — | 4 | 2 | no | — |
| 344 | C5×Q8 | — | 4 | 2 | no | — |
| 345 | C5×Q8 | C22×D4 | 1 | 2 | yes | — |
| 346 | C5×D4 | — | 2 | 2 | no | — |
| 347 | C5×D4 | — | 2 | 2 | no | — |
| 348 | C5×D4 | — | 2 | 1 | no | — |
| 349 | C5×D4 | C22×D4 | 1 | 2 | yes | — |
| 350 | C2×C4×C5 | — | 2 | 1 | no | — |
| 351 | C2×C4×C5 | — | 2 | 2 | no | — |
| 352 | C2×C4×C5 | — | 2 | 2 | no | — |
| 353 | C2×C4×C5 | — | 2 | 4 | no | — |
| 354 | C2×C4×C5 | — | 4 | 2 | no | — |
| 355 | C2×C4×C5 | — | 4 | 2 | no | — |
| 356 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 357 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 358 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 359 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 360 | C2×C4×C5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 361 | C2×C4×C5 | C25 | 1 | 1 | yes | characteristic |
| 362 | C22⋊D5 | — | 2 | 2 | no | — |
| 363 | C22⋊D5 | — | 2 | 4 | no | — |
| 364 | C22⋊D5 | — | 2 | 2 | no | — |
| 365 | C22⋊D5 | — | 2 | 4 | no | — |
| 366 | C22⋊D5 | — | 4 | 8 | no | — |
| 367 | C2×Dic5 | — | 2 | 4 | no | — |
| 368 | C2×Dic5 | — | 2 | 1 | no | — |
| 369 | C2×Dic5 | — | 2 | 2 | no | — |
| 370 | C2×Dic5 | — | 2 | 2 | no | — |
| 371 | C2×Dic5 | — | 2 | 4 | no | — |
| 372 | C2×Dic5 | — | 4 | 8 | no | — |
| 373 | C2×Dic5 | — | 4 | 2 | no | — |
| 374 | C2×Dic5 | — | 4 | 2 | no | — |
| 375 | D20 | — | 2 | 2 | no | — |
| 376 | D20 | — | 2 | 1 | no | — |
| 377 | D20 | — | 4 | 8 | no | — |
| 378 | D20 | C22×D4 | 1 | 2 | yes | — |
| 379 | D20 | C22×D4 | 1 | 4 | yes | — |
| 380 | C4×D5 | — | 2 | 4 | no | — |
| 381 | C4×D5 | — | 2 | 2 | no | — |
| 382 | C4×D5 | — | 2 | 4 | no | — |
| 383 | C4×D5 | — | 2 | 2 | no | — |
| 384 | C4×D5 | — | 4 | 8 | no | — |
| 385 | C4×D5 | — | 4 | 8 | no | — |
| 386 | C4×D5 | — | 4 | 8 | no | — |
| 387 | Dic10 | — | 2 | 2 | no | — |
| 388 | Dic10 | — | 2 | 1 | no | — |
| 389 | Dic10 | — | 2 | 4 | no | — |
| 390 | Dic10 | — | 2 | 4 | no | — |
| 391 | Dic10 | — | 4 | 8 | no | — |
| 392 | Dic10 | — | 4 | 8 | no | — |
| 393 | Dic10 | — | 4 | 2 | no | — |
| 394 | Dic10 | — | 4 | 2 | no | — |
| 395 | Dic10 | C22×D4 | 1 | 4 | yes | — |
| 396 | Dic10 | C22×D4 | 1 | 2 | yes | — |
| 397 | C5×C8 | — | 2 | 4 | no | — |
| 398 | C5×C8 | — | 2 | 2 | no | — |
| 399 | C5×C8 | C22×D4 | 1 | 2 | yes | — |
| 400 | C5×C8 | C22×D4 | 1 | 2 | yes | — |
| 401 | #168 | — | 2 | 2 | no | — |
| 402 | #168 | C22×D4 | 1 | 2 | yes | — |
| 403 | #168 | C22×D4 | 1 | 2 | yes | — |
| 404 | 2−1+4 | — | 5 | 8 | no | — |
| 405 | 2−1+4 | — | 5 | 8 | no | — |
| 406 | 2−1+4 | — | 10 | 4 | no | — |
| 407 | 2−1+4 | — | 10 | 4 | no | — |
| 408 | 2−1+4 | — | 10 | 4 | no | — |
| 409 | 2−1+4 | — | 10 | 4 | no | — |
| 410 | 2−1+4 | — | 20 | 2 | no | — |
| 411 | 2−1+4 | — | 20 | 2 | no | — |
| 412 | C2×#41 | — | 5 | 1 | no | — |
| 413 | C2×#41 | — | 5 | 2 | no | — |
| 414 | C2×#41 | — | 10 | 2 | no | — |
| 415 | C2×#41 | — | 10 | 2 | no | — |
| 416 | C2×#41 | — | 10 | 2 | no | — |
| 417 | C2×#41 | — | 10 | 2 | no | — |
| 418 | C2×#41 | — | 20 | 2 | no | — |
| 419 | C2×#41 | — | 20 | 2 | no | — |
| 420 | C2×#41 | C22×D5 | 1 | 1 | yes | characteristic |
| 421 | C22×Q8 | — | 5 | 2 | no | — |
| 422 | C22×Q8 | — | 10 | 2 | no | — |
| 423 | C22×Q8 | — | 10 | 2 | no | — |
| 424 | C22×Q8 | — | 10 | 2 | no | — |
| 425 | C22×Q8 | — | 10 | 2 | no | — |
| 426 | C22×Q8 | C22×D5 | 1 | 2 | yes | — |
| 427 | #137 | — | 2 | 4 | no | — |
| 428 | #137 | — | 5 | 8 | no | — |
| 429 | #137 | — | 5 | 8 | no | — |
| 430 | #137 | — | 5 | 8 | no | — |
| 431 | #137 | — | 10 | 16 | no | — |
| 432 | #137 | — | 10 | 4 | no | — |
| 433 | #137 | — | 10 | 4 | no | — |
| 434 | #137 | — | 10 | 16 | no | — |
| 435 | #137 | — | 10 | 16 | no | — |
| 436 | #137 | — | 10 | 16 | no | — |
| 437 | #137 | — | 10 | 4 | no | — |
| 438 | #137 | C22×D5 | 1 | 8 | yes | — |
| 439 | #135 | — | 5 | 4 | no | — |
| 440 | #135 | — | 5 | 4 | no | — |
| 441 | #135 | — | 5 | 4 | no | — |
| 442 | #135 | — | 5 | 4 | no | — |
| 443 | #135 | — | 10 | 8 | no | — |
| 444 | #135 | — | 10 | 16 | no | — |
| 445 | #135 | — | 10 | 8 | no | — |
| 446 | C2×Q16 | — | 2 | 2 | no | — |
| 447 | C2×Q16 | — | 2 | 1 | no | — |
| 448 | C2×Q16 | — | 2 | 1 | no | — |
| 449 | C2×Q16 | — | 2 | 2 | no | — |
| 450 | C2×Q16 | — | 5 | 1 | no | — |
| 451 | C2×Q16 | — | 5 | 8 | no | — |
| 452 | C2×Q16 | — | 5 | 1 | no | — |
| 453 | C2×Q16 | — | 5 | 4 | no | — |
| 454 | C2×Q16 | — | 10 | 8 | no | — |
| 455 | C2×Q16 | — | 10 | 2 | no | — |
| 456 | C2×Q16 | — | 10 | 2 | no | — |
| 457 | C2×Q16 | — | 10 | 2 | no | — |
| 458 | C2×Q16 | — | 10 | 2 | no | — |
| 459 | C2×Q16 | — | 10 | 4 | no | — |
| 460 | C2×Q16 | — | 10 | 16 | no | — |
| 461 | C2×Q16 | — | 10 | 8 | no | — |
| 462 | C2×Q16 | — | 10 | 2 | no | — |
| 463 | C2×Q16 | — | 10 | 1 | no | — |
| 464 | C2×Q16 | — | 10 | 1 | no | — |
| 465 | C2×Q16 | — | 10 | 2 | no | — |
| 466 | C2×Q16 | C22×D5 | 1 | 4 | yes | — |
| 467 | C2×SD16 | — | 2 | 2 | no | — |
| 468 | C2×SD16 | — | 5 | 1 | no | — |
| 469 | C2×SD16 | — | 5 | 1 | no | — |
| 470 | C2×SD16 | — | 5 | 2 | no | — |
| 471 | C2×SD16 | — | 10 | 2 | no | — |
| 472 | C2×SD16 | — | 10 | 2 | no | — |
| 473 | C2×SD16 | — | 10 | 2 | no | — |
| 474 | C2×D8 | — | 5 | 1 | no | — |
| 475 | C2×D8 | — | 5 | 1 | no | — |
| 476 | #131 | — | 2 | 2 | no | — |
| 477 | #131 | — | 5 | 8 | no | — |
| 478 | #131 | — | 5 | 4 | no | — |
| 479 | #131 | — | 10 | 4 | no | — |
| 480 | #131 | — | 10 | 2 | no | — |
| 481 | #131 | C22×D5 | 1 | 4 | yes | — |
| 482 | C2×M16 | — | 2 | 1 | no | — |
| 483 | C2×M16 | — | 5 | 1 | no | — |
| 484 | C2×M16 | — | 10 | 2 | no | — |
| 485 | C2×M16 | — | 10 | 1 | no | — |
| 486 | C2×M16 | C22×D5 | 1 | 2 | yes | — |
| 487 | C2×M16 | C22×D5 | 1 | 1 | yes | characteristic |
| 488 | C22×C8 | — | 2 | 1 | no | — |
| 489 | C22×C8 | — | 5 | 1 | no | — |
| 490 | C22×C8 | — | 10 | 2 | no | — |
| 491 | C22×C8 | — | 10 | 1 | no | — |
| 492 | C22×C8 | C22×D5 | 1 | 1 | yes | characteristic |
| 493 | C4⋊Q8 | — | 5 | 8 | no | — |
| 494 | C4⋊Q8 | — | 20 | 2 | no | — |
| 495 | C2×C4⋊C4 | — | 20 | 2 | no | — |
| 496 | C2×C42 | — | 5 | 1 | no | — |
| 497 | #108 | — | 5 | 4 | no | — |
| 498 | #108 | C22×D5 | 1 | 4 | yes | — |
| 499 | #104 | — | 5 | 4 | no | — |
| 500 | #104 | — | 5 | 8 | no | — |
| 501 | #104 | — | 5 | 4 | no | — |
| 502 | #101 | — | 5 | 8 | no | — |
| 503 | #101 | C22×D5 | 1 | 8 | yes | — |
| 504 | C4×C8 | — | 5 | 4 | no | — |
| 505 | C22×C5 | — | 2 | 2 | no | — |
| 506 | C22×C5 | — | 2 | 2 | no | — |
| 507 | C22×C5 | — | 4 | 2 | no | — |
| 508 | C22×C5 | D42 | 1 | 1 | yes | characteristic |
| 509 | C22×C5 | D42 | 1 | 1 | yes | characteristic |
| 510 | C22×C5 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 511 | C2×D5 | — | 2 | 2 | no | — |
| 512 | C2×D5 | — | 2 | 4 | no | — |
| 513 | C2×D5 | — | 4 | 2 | no | — |
| 514 | C2×D5 | — | 4 | 4 | no | — |
| 515 | C4×C5 | — | 2 | 2 | no | — |
| 516 | C4×C5 | — | 4 | 4 | no | — |
| 517 | C4×C5 | D42 | 1 | 1 | yes | characteristic |
| 518 | C4×C5 | D42 | 1 | 1 | yes | characteristic |
| 519 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 520 | C4×C5 | C23×D4 | 1 | 1 | yes | characteristic |
| 521 | Dic5 | — | 2 | 4 | no | — |
| 522 | Dic5 | — | 2 | 2 | no | — |
| 523 | Dic5 | — | 2 | 4 | no | — |
| 524 | Dic5 | — | 4 | 4 | no | — |
| 525 | #41 | — | 2 | 1 | no | — |
| 526 | #41 | — | 2 | 1 | no | — |
| 527 | #41 | — | 5 | 2 | no | — |
| 528 | #41 | — | 5 | 4 | no | — |
| 529 | #41 | — | 5 | 4 | no | — |
| 530 | #41 | — | 5 | 2 | no | — |
| 531 | #41 | — | 10 | 8 | no | — |
| 532 | #41 | — | 10 | 2 | no | — |
| 533 | #41 | — | 10 | 1 | no | — |
| 534 | #41 | — | 10 | 1 | no | — |
| 535 | #41 | — | 10 | 2 | no | — |
| 536 | #41 | — | 10 | 8 | no | — |
| 537 | #41 | — | 10 | 8 | no | — |
| 538 | #41 | — | 10 | 8 | no | — |
| 539 | #41 | — | 20 | 8 | no | — |
| 540 | #41 | — | 20 | 4 | no | — |
| 541 | #41 | — | 20 | 8 | no | — |
| 542 | #41 | — | 20 | 8 | no | — |
| 543 | #41 | — | 20 | 4 | no | — |
| 544 | #41 | — | 20 | 4 | no | — |
| 545 | #41 | — | 20 | 4 | no | — |
| 546 | #41 | — | 20 | 8 | no | — |
| 547 | #41 | D4×D5 | 1 | 2 | yes | — |
| 548 | #41 | C23×D5 | 1 | 2 | yes | — |
| 549 | C2×Q8 | — | 2 | 2 | no | — |
| 550 | C2×Q8 | — | 2 | 2 | no | — |
| 551 | C2×Q8 | — | 2 | 2 | no | — |
| 552 | C2×Q8 | — | 2 | 2 | no | — |
| 553 | C2×Q8 | — | 2 | 2 | no | — |
| 554 | C2×Q8 | — | 5 | 1 | no | — |
| 555 | C2×Q8 | — | 5 | 2 | no | — |
| 556 | C2×Q8 | — | 5 | 4 | no | — |
| 557 | C2×Q8 | — | 10 | 8 | no | — |
| 558 | C2×Q8 | — | 10 | 2 | no | — |
| 559 | C2×Q8 | — | 10 | 8 | no | — |
| 560 | C2×Q8 | — | 10 | 8 | no | — |
| 561 | C2×Q8 | — | 10 | 8 | no | — |
| 562 | C2×Q8 | — | 10 | 2 | no | — |
| 563 | C2×Q8 | — | 10 | 2 | no | — |
| 564 | C2×Q8 | — | 10 | 2 | no | — |
| 565 | C2×Q8 | — | 10 | 2 | no | — |
| 566 | C2×Q8 | — | 20 | 2 | no | — |
| 567 | C2×Q8 | — | 20 | 4 | no | — |
| 568 | C2×Q8 | — | 20 | 2 | no | — |
| 569 | C2×Q8 | — | 20 | 4 | no | — |
| 570 | C2×Q8 | — | 20 | 4 | no | — |
| 571 | C2×Q8 | — | 20 | 4 | no | — |
| 572 | C2×Q8 | D4×D5 | 1 | 1 | yes | characteristic |
| 573 | C2×Q8 | C23×D5 | 1 | 4 | yes | — |
| 574 | C2×D4 | — | 2 | 1 | no | — |
| 575 | C2×D4 | — | 5 | 1 | no | — |
| 576 | C2×D4 | — | 5 | 2 | no | — |
| 577 | C2×D4 | — | 10 | 1 | no | — |
| 578 | C2×D4 | — | 10 | 2 | no | — |
| 579 | C2×D4 | — | 20 | 2 | no | — |
| 580 | C2×D4 | — | 20 | 2 | no | — |
| 581 | C2×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 582 | C22×C4 | — | 2 | 1 | no | — |
| 583 | C22×C4 | — | 2 | 2 | no | — |
| 584 | C22×C4 | — | 10 | 1 | no | — |
| 585 | C22×C4 | — | 10 | 2 | no | — |
| 586 | C22×C4 | — | 10 | 1 | no | — |
| 587 | C22×C4 | — | 10 | 2 | no | — |
| 588 | C22×C4 | — | 20 | 2 | no | — |
| 589 | C22×C4 | — | 20 | 2 | no | — |
| 590 | C22×C4 | — | 20 | 2 | no | — |
| 591 | C22×C4 | — | 20 | 2 | no | — |
| 592 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 593 | Q16 | — | 2 | 8 | no | — |
| 594 | Q16 | — | 2 | 4 | no | — |
| 595 | Q16 | — | 2 | 4 | no | — |
| 596 | Q16 | — | 5 | 4 | no | — |
| 597 | Q16 | — | 5 | 4 | no | — |
| 598 | Q16 | — | 10 | 8 | no | — |
| 599 | Q16 | — | 10 | 8 | no | — |
| 600 | Q16 | — | 10 | 8 | no | — |
| 601 | Q16 | — | 10 | 8 | no | — |
| 602 | Q16 | — | 10 | 8 | no | — |
| 603 | Q16 | — | 10 | 4 | no | — |
| 604 | Q16 | — | 10 | 4 | no | — |
| 605 | SD16 | — | 2 | 8 | no | — |
| 606 | SD16 | — | 5 | 4 | no | — |
| 607 | SD16 | — | 5 | 4 | no | — |
| 608 | SD16 | — | 5 | 8 | no | — |
| 609 | SD16 | — | 10 | 8 | no | — |
| 610 | SD16 | — | 10 | 8 | no | — |
| 611 | SD16 | — | 10 | 8 | no | — |
| 612 | D8 | — | 5 | 4 | no | — |
| 613 | D8 | — | 5 | 4 | no | — |
| 614 | M16 | — | 2 | 1 | no | — |
| 615 | M16 | — | 2 | 2 | no | — |
| 616 | M16 | — | 2 | 4 | no | — |
| 617 | M16 | — | 5 | 2 | no | — |
| 618 | M16 | — | 10 | 8 | no | — |
| 619 | M16 | — | 10 | 1 | no | — |
| 620 | M16 | — | 10 | 4 | no | — |
| 621 | M16 | C23×D5 | 1 | 4 | yes | — |
| 622 | M16 | C23×D5 | 1 | 2 | yes | — |
| 623 | C2×C8 | — | 2 | 1 | no | — |
| 624 | C2×C8 | — | 2 | 2 | no | — |
| 625 | C2×C8 | — | 2 | 4 | no | — |
| 626 | C2×C8 | — | 5 | 1 | no | — |
| 627 | C2×C8 | — | 5 | 1 | no | — |
| 628 | C2×C8 | — | 5 | 2 | no | — |
| 629 | C2×C8 | — | 5 | 2 | no | — |
| 630 | C2×C8 | — | 10 | 8 | no | — |
| 631 | C2×C8 | — | 10 | 1 | no | — |
| 632 | C2×C8 | — | 10 | 4 | no | — |
| 633 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 634 | C2×C8 | D4×D5 | 1 | 1 | yes | characteristic |
| 635 | C2×C8 | D4×D5 | 1 | 2 | yes | — |
| 636 | C2×C8 | C23×D5 | 1 | 2 | yes | — |
| 637 | C4⋊C4 | — | 20 | 8 | no | — |
| 638 | C42 | — | 5 | 2 | no | — |
| 639 | C42 | — | 10 | 1 | no | — |
| 640 | C2×C5 | — | 2 | 1 | no | — |
| 641 | C2×C5 | — | 2 | 1 | no | — |
| 642 | C2×C5 | — | 4 | 2 | no | — |
| 643 | C2×C5 | #3293 | 1 | 2 | yes | complemented |
| 644 | C2×C5 | C2×D42 | 1 | 1 | yes | characteristic |
| 645 | D5 | — | 4 | 2 | no | — |
| 646 | D5 | — | 4 | 4 | no | — |
| 647 | C23 | — | 2 | 1 | no | — |
| 648 | C23 | — | 10 | 2 | no | — |
| 649 | C23 | — | 10 | 1 | no | — |
| 650 | C23 | #4149 | 1 | 1 | yes | characteristic |
| 651 | Q8 | — | 2 | 1 | no | — |
| 652 | Q8 | — | 2 | 4 | no | — |
| 653 | Q8 | — | 2 | 4 | no | — |
| 654 | Q8 | — | 4 | 2 | no | — |
| 655 | Q8 | — | 4 | 2 | no | — |
| 656 | Q8 | — | 5 | 2 | no | — |
| 657 | Q8 | — | 5 | 4 | no | — |
| 658 | Q8 | — | 10 | 2 | no | — |
| 659 | Q8 | — | 10 | 1 | no | — |
| 660 | Q8 | — | 10 | 4 | no | — |
| 661 | Q8 | — | 10 | 4 | no | — |
| 662 | Q8 | — | 20 | 8 | no | — |
| 663 | Q8 | — | 20 | 8 | no | — |
| 664 | Q8 | — | 20 | 2 | no | — |
| 665 | Q8 | — | 20 | 2 | no | — |
| 666 | Q8 | C2×D4×D5 | 1 | 2 | yes | — |
| 667 | D4 | — | 2 | 2 | no | — |
| 668 | D4 | — | 2 | 2 | no | — |
| 669 | D4 | — | 2 | 1 | no | — |
| 670 | D4 | — | 5 | 2 | no | — |
| 671 | D4 | — | 5 | 4 | no | — |
| 672 | D4 | — | 10 | 2 | no | — |
| 673 | D4 | — | 10 | 4 | no | — |
| 674 | D4 | — | 10 | 2 | no | — |
| 675 | D4 | — | 10 | 4 | no | — |
| 676 | D4 | — | 10 | 2 | no | — |
| 677 | D4 | — | 10 | 1 | no | — |
| 678 | D4 | — | 20 | 8 | no | — |
| 679 | D4 | — | 20 | 8 | no | — |
| 680 | D4 | C2×D4×D5 | 1 | 2 | yes | — |
| 681 | C2×C4 | — | 2 | 1 | no | — |
| 682 | C2×C4 | — | 2 | 2 | no | — |
| 683 | C2×C4 | — | 2 | 2 | no | — |
| 684 | C2×C4 | — | 2 | 4 | no | — |
| 685 | C2×C4 | — | 4 | 2 | no | — |
| 686 | C2×C4 | — | 4 | 2 | no | — |
| 687 | C2×C4 | — | 10 | 4 | no | — |
| 688 | C2×C4 | — | 10 | 1 | no | — |
| 689 | C2×C4 | — | 10 | 2 | no | — |
| 690 | C2×C4 | — | 10 | 2 | no | — |
| 691 | C2×C4 | — | 10 | 2 | no | — |
| 692 | C2×C4 | — | 10 | 4 | no | — |
| 693 | C2×C4 | — | 10 | 4 | no | — |
| 694 | C2×C4 | — | 10 | 2 | no | — |
| 695 | C2×C4 | — | 10 | 4 | no | — |
| 696 | C2×C4 | — | 20 | 8 | no | — |
| 697 | C2×C4 | — | 20 | 8 | no | — |
| 698 | C2×C4 | — | 20 | 8 | no | — |
| 699 | C2×C4 | — | 20 | 8 | no | — |
| 700 | C2×C4 | — | 20 | 2 | no | — |
| 701 | C2×C4 | — | 20 | 2 | no | — |
| 702 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 703 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 704 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 705 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 706 | C2×C4 | #4149 | 1 | 1 | yes | characteristic |
| 707 | C2×C4 | C24×D5 | 1 | 1 | yes | characteristic |
| 708 | C8 | — | 2 | 2 | no | — |
| 709 | C8 | — | 2 | 4 | no | — |
| 710 | C8 | — | 5 | 2 | no | — |
| 711 | C8 | — | 5 | 2 | no | — |
| 712 | C8 | — | 10 | 2 | no | — |
| 713 | C8 | C2×D4×D5 | 1 | 2 | yes | — |
| 714 | C8 | C2×D4×D5 | 1 | 2 | yes | — |
| 715 | C5 | C2×#3293 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 716 | C22 | — | 2 | 2 | no | — |
| 717 | C22 | — | 2 | 2 | no | — |
| 718 | C22 | — | 4 | 2 | no | — |
| 719 | C22 | — | 10 | 4 | no | — |
| 720 | C22 | — | 10 | 2 | no | — |
| 721 | C22 | — | 20 | 4 | no | — |
| 722 | C22 | — | 20 | 2 | no | — |
| 723 | C22 | #65943 | 1 | 1 | yes | characteristic |
| 724 | C22 | #65943 | 1 | 1 | yes | characteristic |
| 725 | C22 | C2×#4149 | 1 | 1 | yes | characteristic |
| 726 | C4 | — | 2 | 2 | no | — |
| 727 | C4 | — | 4 | 4 | no | — |
| 728 | C4 | — | 10 | 4 | no | — |
| 729 | C4 | — | 10 | 2 | no | — |
| 730 | C4 | — | 10 | 4 | no | — |
| 731 | C4 | — | 20 | 4 | no | — |
| 732 | C4 | #65943 | 1 | 1 | yes | characteristic |
| 733 | C4 | #65943 | 1 | 1 | yes | characteristic |
| 734 | C4 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 735 | C4 | C22×D4×D5 | 1 | 1 | yes | characteristic |
| 736 | C2 | — | 2 | 1 | no | — |
| 737 | C2 | — | 2 | 1 | no | — |
| 738 | C2 | — | 4 | 2 | no | — |
| 739 | C2 | — | 20 | 4 | no | — |
| 740 | C2 | — | 20 | 2 | no | — |
| 741 | C2 | #10612678 | 1 | 2 | yes | direct product factor |
| 742 | C2 | C2×#65943 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#66113 | C2 | semidirect |
| 2. C2×#66100 | C2 | semidirect |
| 3. C2×#66087 | C2 | semidirect |
| 4. C2×C5×#473 | C2 | semidirect |
| 5. C2×#65494 | C2 | semidirect |
| 6. C2×#65470 | C2 | semidirect |
| 7. C2×#65433 | C2 | semidirect |
| 8. #10612678 | C2 | direct (N × H) |
| 9. C2×#65185 | C2 | semidirect |
| 10. C2×#65184 | C2 | semidirect |
| 11. C2×#65044 | C2 | semidirect |
| 12. C2×#65041 | C2 | semidirect |
| 23. #66113 | C22 | semidirect |
| 25. #66100 | C22 | semidirect |
| 34. #66087 | C22 | semidirect |
| 44. C5×#473 | C22 | semidirect |
| 48. #65494 | C22 | semidirect |
| 49. #65470 | C22 | semidirect |
| 50. #65433 | C22 | semidirect |
| 56. #65185 | C22 | semidirect |
| 57. #65184 | C22 | semidirect |
| 58. #65044 | C22 | semidirect |
| 59. #65041 | C22 | semidirect |
| 169. C2×#473 | D5 | semidirect |
| 323. #473 | C2×D5 | semidirect |
| 643. C2×C5 | #3293 | semidirect |
| 715. C5 | C2×#3293 | semidirect |
| 741. C2 | #10612678 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66113 | 2 |
| C2×#66100 | 2 |
| C2×#66087 | 2 |
| C2×C5×#473 | 2 |
| C2×#65494 | 2 |
| C2×#65470 | 2 |
| C2×#65433 | 2 |
| #10612678 | 2 |
| C2×#65185 | 2 |
| C2×#65184 | 2 |
| C2×#65044 | 2 |
| C2×#65041 | 2 |
| C2×#3293 | 5 |