← D4×#14579107 #34444995
Subgroups — D4×#14579107 #34444995
Order 20224.
664 conjugacy classes of subgroups.
The subgroup lattice has 378 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C22×#14579107 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | D4×Dic316 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #23765652 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #23765489 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #23765450 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #23765447 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #23765334 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #23765333 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C4×#14579107 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | D4×C79⋊C16 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | D4×Q16×C79 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | C22×Dic316 | C22 | 1 | 2 | yes | — |
| 13 | D4×Dic158 | — | 2 | 1 | no | — |
| 14 | C2×#14579107 | — | 2 | 8 | no | — |
| 15 | C2×#14579107 | C22 | 1 | 2 | yes | — |
| 16 | C2×#14579107 | C22 | 1 | 2 | yes | — |
| 17 | C2×#14579107 | C22 | 1 | 2 | yes | — |
| 18 | C2×#14579107 | C22 | 1 | 2 | yes | — |
| 19 | C2×#14579107 | C22 | 1 | 1 | yes | characteristic |
| 20 | C22×C79⋊C16 | C22 | 1 | 2 | yes | — |
| 21 | #19098943 | C22 | 1 | 1 | yes | characteristic |
| 22 | #19098804 | C22 | 1 | 2 | yes | — |
| 23 | #19098774 | — | 2 | 1 | no | — |
| 24 | #19098721 | — | 2 | 2 | no | — |
| 25 | C4×Dic316 | C22 | 1 | 1 | yes | characteristic |
| 26 | #19098388 | C22 | 1 | 1 | yes | characteristic |
| 27 | C4⋊(C79⋊C16) | C22 | 1 | 1 | yes | characteristic |
| 28 | #19098367 | C22 | 1 | 1 | yes | characteristic |
| 29 | #19098367 | C22 | 1 | 2 | yes | — |
| 30 | #19098366 | C22 | 1 | 1 | yes | characteristic |
| 31 | #19098366 | C22 | 1 | 2 | yes | — |
| 32 | C22⋊(C79⋊C16) | C22 | 1 | 2 | yes | — |
| 33 | C4×C79⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 34 | C22×Q16×C79 | C22 | 1 | 2 | yes | — |
| 35 | D4×Q8×C79 | — | 2 | 1 | no | — |
| 36 | #494×C79 | C22 | 1 | 1 | yes | characteristic |
| 37 | #467×C79 | C22 | 1 | 2 | yes | — |
| 38 | #462×C79 | — | 2 | 1 | no | — |
| 39 | #451×C79 | — | 2 | 2 | no | — |
| 40 | C4×Q16×C79 | C22 | 1 | 1 | yes | characteristic |
| 41 | C8×D4×C79 | C22 | 1 | 1 | yes | characteristic |
| 42 | C22×Dic158 | — | 2 | 2 | no | — |
| 43 | C2×Dic316 | — | 2 | 4 | no | — |
| 44 | C2×Dic316 | — | 2 | 2 | no | — |
| 45 | C2×Dic316 | — | 2 | 1 | no | — |
| 46 | C2×Dic316 | — | 4 | 2 | no | — |
| 47 | C2×Dic316 | C23 | 1 | 2 | yes | — |
| 48 | C2×Dic316 | C23 | 1 | 1 | yes | characteristic |
| 49 | #14579161 | — | 2 | 1 | no | — |
| 50 | #14579160 | — | 4 | 1 | no | — |
| 51 | #14579140 | — | 2 | 2 | no | — |
| 52 | #14579138 | — | 4 | 2 | no | — |
| 53 | C4×Dic158 | — | 2 | 1 | no | — |
| 54 | D4×Dic79 | — | 4 | 1 | no | — |
| 55 | #14579107 | — | 2 | 4 | no | — |
| 56 | #14579107 | — | 2 | 4 | no | — |
| 57 | #14579107 | — | 2 | 4 | no | — |
| 58 | #14579107 | — | 4 | 2 | no | — |
| 59 | #14579107 | D4 | 1 | 4 | yes | direct product factor |
| 60 | C2×C79⋊C16 | — | 2 | 4 | no | — |
| 61 | C2×C79⋊C16 | C23 | 1 | 2 | yes | — |
| 62 | C2×C79⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×C79⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 64 | #14579095 | C23 | 1 | 1 | yes | characteristic |
| 65 | #14579086 | — | 2 | 1 | no | — |
| 66 | #14579086 | — | 2 | 2 | no | — |
| 67 | C22×Q8×C79 | — | 2 | 2 | no | — |
| 68 | C2×Q16×C79 | — | 2 | 4 | no | — |
| 69 | C2×Q16×C79 | — | 2 | 2 | no | — |
| 70 | C2×Q16×C79 | — | 2 | 1 | no | — |
| 71 | C2×Q16×C79 | — | 4 | 2 | no | — |
| 72 | C2×Q16×C79 | C23 | 1 | 2 | yes | — |
| 73 | C2×Q16×C79 | C23 | 1 | 1 | yes | characteristic |
| 74 | C22×C8×C79 | C23 | 1 | 2 | yes | — |
| 75 | C4⋊Q8×C79 | — | 2 | 1 | no | — |
| 76 | C4⋊Q8×C79 | — | 4 | 1 | no | — |
| 77 | C22⋊Q8×C79 | — | 2 | 2 | no | — |
| 78 | C22⋊Q8×C79 | — | 4 | 2 | no | — |
| 79 | C4×Q8×C79 | — | 2 | 1 | no | — |
| 80 | C4×D4×C79 | — | 4 | 1 | no | — |
| 81 | C4×D4×C79 | D4 | 1 | 1 | yes | characteristic |
| 82 | #107×C79 | C23 | 1 | 1 | yes | characteristic |
| 83 | C4⋊C8×C79 | D4 | 1 | 1 | yes | characteristic |
| 84 | #103×C79 | — | 2 | 1 | no | — |
| 85 | #103×C79 | — | 2 | 2 | no | — |
| 86 | C22⋊C8×C79 | D4 | 1 | 2 | yes | — |
| 87 | C4×C8×C79 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×Dic158 | — | 2 | 1 | no | — |
| 89 | C2×Dic158 | — | 2 | 2 | no | — |
| 90 | C2×Dic158 | — | 4 | 4 | no | — |
| 91 | C2×Dic158 | — | 4 | 2 | no | — |
| 92 | C2×Dic158 | — | 8 | 2 | no | — |
| 93 | C22×Dic79 | — | 4 | 2 | no | — |
| 94 | Dic316 | — | 2 | 2 | no | — |
| 95 | Dic316 | — | 2 | 1 | no | — |
| 96 | Dic316 | — | 2 | 2 | no | — |
| 97 | Dic316 | — | 4 | 4 | no | — |
| 98 | Dic316 | — | 8 | 1 | no | — |
| 99 | Dic316 | C2×D4 | 1 | 2 | yes | — |
| 100 | C4⋊Dic79 | — | 2 | 1 | no | — |
| 101 | C4⋊Dic79 | — | 4 | 1 | no | — |
| 102 | C4⋊Dic79 | — | 4 | 1 | no | — |
| 103 | Dic79⋊C4 | — | 4 | 1 | no | — |
| 104 | Dic79⋊C4 | — | 4 | 2 | no | — |
| 105 | C22⋊Dic79 | — | 4 | 2 | no | — |
| 106 | C4×Dic79 | — | 4 | 1 | no | — |
| 107 | C79⋊C16 | — | 2 | 2 | no | — |
| 108 | C79⋊C16 | — | 2 | 1 | no | — |
| 109 | C79⋊C16 | C2×D4 | 1 | 2 | yes | — |
| 110 | C2×Q8×C79 | — | 2 | 1 | no | — |
| 111 | C2×Q8×C79 | — | 2 | 2 | no | — |
| 112 | C2×Q8×C79 | — | 4 | 4 | no | — |
| 113 | C2×Q8×C79 | — | 4 | 2 | no | — |
| 114 | C2×Q8×C79 | — | 8 | 2 | no | — |
| 115 | C2×D4×C79 | D8 | 1 | 1 | yes | characteristic |
| 116 | C22×C4×C79 | — | 4 | 2 | no | — |
| 117 | C22×C4×C79 | C2×D4 | 1 | 2 | yes | — |
| 118 | Q16×C79 | — | 2 | 1 | no | — |
| 119 | Q16×C79 | — | 2 | 2 | no | — |
| 120 | Q16×C79 | — | 2 | 2 | no | — |
| 121 | Q16×C79 | — | 4 | 4 | no | — |
| 122 | Q16×C79 | — | 8 | 1 | no | — |
| 123 | Q16×C79 | C2×D4 | 1 | 2 | yes | — |
| 124 | C2×C8×C79 | — | 2 | 2 | no | — |
| 125 | C2×C8×C79 | — | 2 | 2 | no | — |
| 126 | C2×C8×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×C8×C79 | C2×D4 | 1 | 2 | yes | — |
| 128 | C2×C8×C79 | C24 | 1 | 1 | yes | characteristic |
| 129 | C4⋊C4×C79 | — | 2 | 1 | no | — |
| 130 | C4⋊C4×C79 | — | 4 | 1 | no | — |
| 131 | C4⋊C4×C79 | — | 4 | 1 | no | — |
| 132 | C4⋊C4×C79 | — | 4 | 2 | no | — |
| 133 | C4⋊C4×C79 | — | 4 | 1 | no | — |
| 134 | C4⋊C4×C79 | D8 | 1 | 1 | yes | characteristic |
| 135 | C22⋊C4×C79 | — | 4 | 2 | no | — |
| 136 | C22⋊C4×C79 | D8 | 1 | 2 | yes | — |
| 137 | C42×C79 | — | 4 | 1 | no | — |
| 138 | C42×C79 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C23×C79 | C2×D8 | 1 | 2 | yes | — |
| 140 | Q8×C79 | — | 2 | 2 | no | — |
| 141 | Q8×C79 | — | 4 | 1 | no | — |
| 142 | Q8×C79 | — | 4 | 2 | no | — |
| 143 | Q8×C79 | — | 4 | 2 | no | — |
| 144 | Q8×C79 | — | 8 | 4 | no | — |
| 145 | D4×C79 | Q32 | 1 | 4 | yes | complemented |
| 146 | C2×C4×C79 | — | 2 | 2 | no | — |
| 147 | C2×C4×C79 | — | 2 | 2 | no | — |
| 148 | C2×C4×C79 | — | 4 | 1 | no | — |
| 149 | C2×C4×C79 | — | 4 | 1 | no | — |
| 150 | C2×C4×C79 | — | 4 | 2 | no | — |
| 151 | C2×C4×C79 | — | 8 | 4 | no | — |
| 152 | C2×C4×C79 | C2×D8 | 1 | 1 | yes | characteristic |
| 153 | C2×C4×C79 | C2×D8 | 1 | 2 | yes | — |
| 154 | C2×C4×C79 | C2×D8 | 1 | 1 | yes | characteristic |
| 155 | C2×C4×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 156 | C2×Dic79 | — | 4 | 1 | no | — |
| 157 | C2×Dic79 | — | 4 | 1 | no | — |
| 158 | C2×Dic79 | — | 4 | 2 | no | — |
| 159 | C2×Dic79 | — | 8 | 4 | no | — |
| 160 | Dic158 | — | 2 | 2 | no | — |
| 161 | Dic158 | — | 4 | 1 | no | — |
| 162 | Dic158 | — | 4 | 2 | no | — |
| 163 | Dic158 | — | 4 | 2 | no | — |
| 164 | Dic158 | — | 8 | 4 | no | — |
| 165 | C8×C79 | — | 2 | 2 | no | — |
| 166 | C8×C79 | — | 2 | 1 | no | — |
| 167 | C8×C79 | C22×D4 | 1 | 1 | yes | characteristic |
| 168 | C8×C79 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 169 | C22×C79 | — | 2 | 2 | no | — |
| 170 | C22×C79 | — | 2 | 2 | no | — |
| 171 | C22×C79 | C2×Q32 | 1 | 4 | yes | complemented |
| 172 | C22×C79 | C22×D8 | 1 | 1 | yes | characteristic |
| 173 | C4×C79 | — | 2 | 1 | no | — |
| 174 | C4×C79 | — | 2 | 2 | no | — |
| 175 | C4×C79 | — | 4 | 2 | no | — |
| 176 | C4×C79 | — | 8 | 1 | no | — |
| 177 | C4×C79 | — | 8 | 2 | no | — |
| 178 | C4×C79 | C2×Q32 | 1 | 2 | yes | complemented |
| 179 | C4×C79 | D42 | 1 | 1 | yes | characteristic |
| 180 | C4×C79 | #576 | 1 | 1 | yes | characteristic |
| 181 | Dic79 | — | 4 | 2 | no | — |
| 182 | Dic79 | — | 8 | 1 | no | — |
| 183 | Dic79 | — | 8 | 2 | no | — |
| 184 | D4×Q32 | — | 79 | 1 | no | maximal, Sylow |
| 185 | C2×C79 | — | 2 | 4 | no | — |
| 186 | C2×C79 | D4×D8 | 1 | 1 | yes | characteristic |
| 187 | C2×C79 | C22×Q32 | 1 | 1 | yes | characteristic |
| 188 | C2×C79 | #3417 | 1 | 1 | yes | characteristic |
| 189 | C22×Q32 | — | 79 | 2 | no | — |
| 190 | D4×Q16 | — | 79 | 1 | no | — |
| 191 | D4×Q16 | D79 | 1 | 1 | yes | characteristic |
| 192 | #2247 | — | 79 | 1 | no | — |
| 193 | #2216 | — | 79 | 2 | no | — |
| 194 | #2209 | — | 79 | 1 | no | — |
| 195 | #2209 | — | 79 | 1 | no | — |
| 196 | #2188 | — | 79 | 2 | no | — |
| 197 | #2188 | — | 79 | 2 | no | — |
| 198 | C4×Q32 | — | 79 | 1 | no | — |
| 199 | D4×C16 | — | 79 | 1 | no | — |
| 200 | C79 | D4×Q32 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 201 | C22×Q16 | — | 79 | 2 | no | — |
| 202 | C22×Q16 | C2×D79 | 1 | 2 | yes | — |
| 203 | D4×Q8 | — | 2 | 1 | no | — |
| 204 | D4×Q8 | — | 158 | 1 | no | — |
| 205 | C2×Q32 | — | 79 | 2 | no | — |
| 206 | C2×Q32 | — | 79 | 1 | no | — |
| 207 | C2×Q32 | — | 79 | 2 | no | — |
| 208 | C2×Q32 | — | 79 | 2 | no | — |
| 209 | C2×Q32 | — | 79 | 2 | no | — |
| 210 | C2×Q32 | — | 158 | 8 | no | — |
| 211 | C22×C16 | — | 79 | 2 | no | — |
| 212 | #494 | — | 79 | 1 | no | — |
| 213 | #494 | C2×D79 | 1 | 1 | yes | characteristic |
| 214 | #467 | — | 79 | 2 | no | — |
| 215 | #467 | C2×D79 | 1 | 2 | yes | — |
| 216 | #462 | — | 2 | 1 | no | — |
| 217 | #462 | — | 158 | 1 | no | — |
| 218 | #451 | — | 2 | 2 | no | — |
| 219 | #451 | — | 158 | 2 | no | — |
| 220 | C4×Q16 | — | 79 | 1 | no | — |
| 221 | C4×Q16 | C2×D79 | 1 | 1 | yes | characteristic |
| 222 | C8×D4 | C2×D79 | 1 | 1 | yes | characteristic |
| 223 | #366 | — | 79 | 1 | no | — |
| 224 | C4⋊C16 | — | 79 | 1 | no | — |
| 225 | #358 | — | 79 | 1 | no | — |
| 226 | #358 | — | 79 | 2 | no | — |
| 227 | #358 | — | 79 | 1 | no | — |
| 228 | #358 | — | 79 | 2 | no | — |
| 229 | C22⋊C16 | — | 79 | 2 | no | — |
| 230 | C4×C16 | — | 79 | 1 | no | — |
| 231 | C22×Q8 | — | 2 | 2 | no | — |
| 232 | C22×Q8 | — | 158 | 2 | no | — |
| 233 | C2×Q16 | — | 2 | 4 | no | — |
| 234 | C2×Q16 | — | 2 | 2 | no | — |
| 235 | C2×Q16 | — | 2 | 1 | no | — |
| 236 | C2×Q16 | — | 4 | 2 | no | — |
| 237 | C2×Q16 | — | 316 | 2 | no | — |
| 238 | C2×Q16 | — | 79 | 1 | no | — |
| 239 | C2×Q16 | — | 79 | 2 | no | — |
| 240 | C2×Q16 | — | 158 | 4 | no | — |
| 241 | C2×Q16 | — | 158 | 2 | no | — |
| 242 | C2×Q16 | — | 158 | 1 | no | — |
| 243 | C2×Q16 | C22×D79 | 1 | 2 | yes | — |
| 244 | C2×Q16 | C22×D79 | 1 | 1 | yes | characteristic |
| 245 | C22×C8 | C22×D79 | 1 | 2 | yes | — |
| 246 | C4⋊Q8 | — | 2 | 1 | no | — |
| 247 | C4⋊Q8 | — | 4 | 1 | no | — |
| 248 | C4⋊Q8 | — | 316 | 1 | no | — |
| 249 | C4⋊Q8 | — | 158 | 1 | no | — |
| 250 | C22⋊Q8 | — | 2 | 2 | no | — |
| 251 | C22⋊Q8 | — | 4 | 2 | no | — |
| 252 | C22⋊Q8 | — | 316 | 2 | no | — |
| 253 | C22⋊Q8 | — | 158 | 2 | no | — |
| 254 | C4×Q8 | — | 2 | 1 | no | — |
| 255 | C4×Q8 | — | 158 | 1 | no | — |
| 256 | C4×D4 | — | 4 | 1 | no | — |
| 257 | C4×D4 | — | 316 | 1 | no | — |
| 258 | C4×D4 | C22⋊D79 | 1 | 1 | yes | characteristic |
| 259 | Q32 | — | 316 | 2 | no | — |
| 260 | Q32 | — | 79 | 4 | no | — |
| 261 | Q32 | — | 158 | 4 | no | — |
| 262 | Q32 | — | 158 | 4 | no | — |
| 263 | Q32 | — | 158 | 4 | no | — |
| 264 | C2×C16 | — | 79 | 1 | no | — |
| 265 | C2×C16 | — | 79 | 1 | no | — |
| 266 | C2×C16 | — | 79 | 2 | no | — |
| 267 | C2×C16 | — | 158 | 4 | no | — |
| 268 | #107 | — | 79 | 1 | no | — |
| 269 | #107 | C22×D79 | 1 | 1 | yes | characteristic |
| 270 | C4⋊C8 | C22⋊D79 | 1 | 1 | yes | characteristic |
| 271 | #103 | — | 2 | 1 | no | — |
| 272 | #103 | — | 2 | 2 | no | — |
| 273 | #103 | — | 158 | 1 | no | — |
| 274 | #103 | — | 158 | 2 | no | — |
| 275 | C22⋊C8 | C22⋊D79 | 1 | 2 | yes | — |
| 276 | C4×C8 | C22×D79 | 1 | 1 | yes | characteristic |
| 277 | C2×Q8 | — | 2 | 1 | no | — |
| 278 | C2×Q8 | — | 2 | 2 | no | — |
| 279 | C2×Q8 | — | 4 | 4 | no | — |
| 280 | C2×Q8 | — | 4 | 2 | no | — |
| 281 | C2×Q8 | — | 8 | 2 | no | — |
| 282 | C2×Q8 | — | 316 | 4 | no | — |
| 283 | C2×Q8 | — | 316 | 2 | no | — |
| 284 | C2×Q8 | — | 632 | 2 | no | — |
| 285 | C2×Q8 | — | 158 | 2 | no | — |
| 286 | C2×Q8 | — | 158 | 1 | no | — |
| 287 | C2×D4 | #11929609 | 1 | 1 | yes | characteristic |
| 288 | C22×C4 | — | 4 | 2 | no | — |
| 289 | C22×C4 | — | 316 | 2 | no | — |
| 290 | C22×C4 | C2×C22⋊D79 | 1 | 2 | yes | — |
| 291 | Q16 | — | 2 | 1 | no | — |
| 292 | Q16 | — | 2 | 2 | no | — |
| 293 | Q16 | — | 2 | 2 | no | — |
| 294 | Q16 | — | 4 | 4 | no | — |
| 295 | Q16 | — | 8 | 1 | no | — |
| 296 | Q16 | — | 316 | 4 | no | — |
| 297 | Q16 | — | 79 | 2 | no | — |
| 298 | Q16 | — | 632 | 1 | no | — |
| 299 | Q16 | — | 158 | 2 | no | — |
| 300 | Q16 | — | 158 | 1 | no | — |
| 301 | Q16 | — | 158 | 2 | no | — |
| 302 | Q16 | D4×D79 | 1 | 2 | yes | — |
| 303 | C2×C8 | — | 2 | 2 | no | — |
| 304 | C2×C8 | — | 2 | 2 | no | — |
| 305 | C2×C8 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 306 | C2×C8 | C2×C22⋊D79 | 1 | 2 | yes | — |
| 307 | C2×C8 | C23×D79 | 1 | 1 | yes | characteristic |
| 308 | C4⋊C4 | — | 2 | 1 | no | — |
| 309 | C4⋊C4 | — | 4 | 1 | no | — |
| 310 | C4⋊C4 | — | 4 | 1 | no | — |
| 311 | C4⋊C4 | — | 4 | 2 | no | — |
| 312 | C4⋊C4 | — | 4 | 1 | no | — |
| 313 | C4⋊C4 | — | 316 | 1 | no | — |
| 314 | C4⋊C4 | — | 316 | 2 | no | — |
| 315 | C4⋊C4 | — | 316 | 1 | no | — |
| 316 | C4⋊C4 | — | 316 | 1 | no | — |
| 317 | C4⋊C4 | — | 158 | 1 | no | — |
| 318 | C4⋊C4 | #11929609 | 1 | 1 | yes | characteristic |
| 319 | C22⋊C4 | — | 4 | 2 | no | — |
| 320 | C22⋊C4 | — | 316 | 2 | no | — |
| 321 | C22⋊C4 | #11929609 | 1 | 2 | yes | — |
| 322 | C42 | — | 4 | 1 | no | — |
| 323 | C42 | — | 316 | 1 | no | — |
| 324 | C42 | C2×C22⋊D79 | 1 | 1 | yes | characteristic |
| 325 | C16 | — | 79 | 2 | no | — |
| 326 | C16 | — | 158 | 1 | no | — |
| 327 | C16 | — | 158 | 2 | no | — |
| 328 | C23 | C2×#11929609 | 1 | 2 | yes | — |
| 329 | Q8 | — | 2 | 2 | no | — |
| 330 | Q8 | — | 4 | 1 | no | — |
| 331 | Q8 | — | 4 | 2 | no | — |
| 332 | Q8 | — | 4 | 2 | no | — |
| 333 | Q8 | — | 8 | 4 | no | — |
| 334 | Q8 | — | 316 | 1 | no | — |
| 335 | Q8 | — | 316 | 2 | no | — |
| 336 | Q8 | — | 316 | 2 | no | — |
| 337 | Q8 | — | 632 | 4 | no | — |
| 338 | Q8 | — | 158 | 2 | no | — |
| 339 | D4 | #14579107 | 1 | 4 | yes | direct product factor |
| 340 | C2×C4 | — | 2 | 2 | no | — |
| 341 | C2×C4 | — | 2 | 2 | no | — |
| 342 | C2×C4 | — | 4 | 1 | no | — |
| 343 | C2×C4 | — | 4 | 1 | no | — |
| 344 | C2×C4 | — | 4 | 2 | no | — |
| 345 | C2×C4 | — | 8 | 4 | no | — |
| 346 | C2×C4 | — | 316 | 1 | no | — |
| 347 | C2×C4 | — | 316 | 1 | no | — |
| 348 | C2×C4 | — | 316 | 2 | no | — |
| 349 | C2×C4 | — | 632 | 4 | no | — |
| 350 | C2×C4 | C2×#11929609 | 1 | 1 | yes | characteristic |
| 351 | C2×C4 | C2×#11929609 | 1 | 2 | yes | — |
| 352 | C2×C4 | C2×#11929609 | 1 | 1 | yes | characteristic |
| 353 | C2×C4 | C22×C22⋊D79 | 1 | 1 | yes | characteristic |
| 354 | C8 | — | 2 | 2 | no | — |
| 355 | C8 | — | 2 | 1 | no | — |
| 356 | C8 | C2×D4×D79 | 1 | 1 | yes | characteristic |
| 357 | C8 | #14579206 | 1 | 1 | yes | characteristic |
| 358 | C22 | — | 2 | 2 | no | — |
| 359 | C22 | — | 2 | 2 | no | — |
| 360 | C22 | C2×#14579107 | 1 | 4 | yes | complemented |
| 361 | C22 | C22×#11929609 | 1 | 1 | yes | characteristic |
| 362 | C4 | — | 2 | 1 | no | — |
| 363 | C4 | — | 2 | 2 | no | — |
| 364 | C4 | — | 4 | 2 | no | — |
| 365 | C4 | — | 8 | 1 | no | — |
| 366 | C4 | — | 8 | 2 | no | — |
| 367 | C4 | — | 316 | 2 | no | — |
| 368 | C4 | — | 632 | 1 | no | — |
| 369 | C4 | — | 632 | 2 | no | — |
| 370 | C4 | C2×#14579107 | 1 | 2 | yes | complemented |
| 371 | C4 | D4×C22⋊D79 | 1 | 1 | yes | characteristic |
| 372 | C4 | #19099366 | 1 | 1 | yes | characteristic |
| 373 | C2 | — | 2 | 4 | no | — |
| 374 | C2 | D4×#11929609 | 1 | 1 | yes | characteristic |
| 375 | C2 | C22×#14579107 | 1 | 1 | yes | characteristic |
| 376 | C2 | #23776551 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta