← #26234803
Subgroups — #26234803
Order 12032.
808 conjugacy classes of subgroups.
The subgroup lattice has 410 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #20252305 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#15689245 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #20251997 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #20244178 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #20244176 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #20243628 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #20243626 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #20243561 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #20243440 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #20243273 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C47×#2957 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #15689890 | C22 | 1 | 2 | yes | — |
| 13 | C2×#13094031 | C22 | 1 | 2 | yes | — |
| 14 | #15689245 | — | 2 | 2 | no | — |
| 15 | #15689245 | C4 | 1 | 4 | yes | complemented |
| 16 | #15689245 | C4 | 1 | 4 | yes | complemented |
| 17 | #15689240 | — | 2 | 2 | no | — |
| 18 | #15689171 | — | 2 | 4 | no | — |
| 19 | #15689171 | C22 | 1 | 2 | yes | — |
| 20 | #15689171 | C22 | 1 | 2 | yes | — |
| 21 | C2×#13093960 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#13093960 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#13093959 | — | 2 | 4 | no | — |
| 24 | C2×#13093959 | C22 | 1 | 2 | yes | — |
| 25 | C2×#13093959 | C22 | 1 | 1 | yes | characteristic |
| 26 | #15689159 | C22 | 1 | 1 | yes | characteristic |
| 27 | #15689146 | C22 | 1 | 2 | yes | — |
| 28 | #15689140 | C22 | 1 | 2 | yes | — |
| 29 | C2×#13093951 | C22 | 1 | 2 | yes | — |
| 30 | #15689078 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#13093934 | C22 | 1 | 1 | yes | characteristic |
| 32 | #15688894 | C22 | 1 | 2 | yes | — |
| 33 | #15688893 | C22 | 1 | 2 | yes | — |
| 34 | #15688884 | C22 | 1 | 1 | yes | characteristic |
| 35 | #15688882 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#135×C47 | C22 | 1 | 1 | yes | characteristic |
| 37 | C47×#568 | C22 | 1 | 2 | yes | — |
| 38 | C47×#444 | — | 2 | 2 | no | — |
| 39 | C47×#443 | — | 2 | 2 | no | — |
| 40 | C2×#108×C47 | C22 | 1 | 1 | yes | characteristic |
| 41 | C47×#421 | C22 | 1 | 2 | yes | — |
| 42 | C47×#405 | C22 | 1 | 1 | yes | characteristic |
| 43 | #13094031 | — | 2 | 2 | no | — |
| 44 | #13094031 | — | 2 | 2 | no | — |
| 45 | #13094031 | — | 2 | 4 | no | — |
| 46 | #13094031 | — | 4 | 2 | no | — |
| 47 | #13094031 | C2×C4 | 1 | 4 | yes | — |
| 48 | #13094031 | C2×C4 | 1 | 4 | yes | — |
| 49 | C2×#10625329 | — | 2 | 2 | no | — |
| 50 | C2×#10625329 | — | 2 | 4 | no | — |
| 51 | C2×#10625329 | C23 | 1 | 2 | yes | — |
| 52 | C2×#10625329 | C23 | 1 | 2 | yes | — |
| 53 | C2×#10625329 | C23 | 1 | 1 | yes | characteristic |
| 54 | C22×C47⋊C8 | — | 2 | 2 | no | — |
| 55 | C22×C47⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 56 | #13093983 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×C4×Dic47 | C23 | 1 | 1 | yes | characteristic |
| 58 | #13093960 | — | 2 | 1 | no | — |
| 59 | #13093960 | — | 2 | 1 | no | — |
| 60 | #13093960 | C2×C4 | 1 | 2 | yes | — |
| 61 | #13093960 | C2×C4 | 1 | 2 | yes | — |
| 62 | #13093959 | — | 2 | 4 | no | — |
| 63 | #13093959 | — | 2 | 4 | no | — |
| 64 | #13093959 | — | 2 | 2 | no | — |
| 65 | #13093959 | — | 2 | 2 | no | — |
| 66 | #13093959 | D4 | 1 | 4 | yes | — |
| 67 | #13093957 | — | 2 | 1 | no | — |
| 68 | #13093955 | — | 2 | 1 | no | — |
| 69 | Dic47⋊C8 | — | 4 | 2 | no | — |
| 70 | #13093951 | — | 2 | 4 | no | — |
| 71 | #13093951 | C2×C4 | 1 | 8 | yes | — |
| 72 | #13093934 | — | 2 | 1 | no | — |
| 73 | #13093934 | C2×C4 | 1 | 2 | yes | — |
| 74 | #13093934 | C2×C4 | 1 | 2 | yes | — |
| 75 | C8×Dic47 | — | 2 | 1 | no | — |
| 76 | C2×#41×C47 | C23 | 1 | 2 | yes | — |
| 77 | #135×C47 | C2×C4 | 1 | 2 | yes | — |
| 78 | #135×C47 | C2×C4 | 1 | 2 | yes | — |
| 79 | #135×C47 | D4 | 1 | 2 | yes | — |
| 80 | #135×C47 | D4 | 1 | 2 | yes | — |
| 81 | C2×Q16×C47 | Q8 | 1 | 1 | yes | characteristic |
| 82 | C2×SD16×C47 | Q8 | 1 | 2 | yes | — |
| 83 | C2×D8×C47 | Q8 | 1 | 1 | yes | characteristic |
| 84 | #131×C47 | — | 2 | 4 | no | — |
| 85 | #131×C47 | — | 4 | 2 | no | — |
| 86 | C2×M16×C47 | — | 2 | 4 | no | — |
| 87 | C2×M16×C47 | C23 | 1 | 2 | yes | — |
| 88 | C2×M16×C47 | C23 | 1 | 1 | yes | characteristic |
| 89 | C22×C8×C47 | C23 | 1 | 1 | yes | characteristic |
| 90 | #117×C47 | C23 | 1 | 1 | yes | characteristic |
| 91 | #108×C47 | — | 2 | 1 | no | — |
| 92 | #108×C47 | — | 2 | 1 | no | — |
| 93 | #104×C47 | — | 2 | 4 | no | — |
| 94 | #97×C47 | — | 2 | 1 | no | — |
| 95 | C4×C8×C47 | — | 2 | 1 | no | — |
| 96 | #41×C47 | — | 2 | 2 | no | — |
| 97 | #41×C47 | — | 2 | 2 | no | — |
| 98 | #41×C47 | C22×C4 | 1 | 4 | yes | — |
| 99 | #41×C47 | C2×D4 | 1 | 4 | yes | — |
| 100 | C2×Q8×C47 | C2×Q8 | 1 | 2 | yes | — |
| 101 | C2×D4×C47 | — | 2 | 2 | no | — |
| 102 | C2×D4×C47 | C2×Q8 | 1 | 2 | yes | — |
| 103 | C22×C4×C47 | — | 2 | 2 | no | — |
| 104 | C22×C4×C47 | C24 | 1 | 1 | yes | characteristic |
| 105 | C22×Dic47 | — | 2 | 1 | no | — |
| 106 | Q16×C47 | C4⋊C4 | 1 | 2 | yes | — |
| 107 | Q16×C47 | C4⋊C4 | 1 | 2 | yes | — |
| 108 | SD16×C47 | C4⋊C4 | 1 | 4 | yes | — |
| 109 | SD16×C47 | C4⋊C4 | 1 | 4 | yes | — |
| 110 | D8×C47 | C4⋊C4 | 1 | 2 | yes | — |
| 111 | D8×C47 | C4⋊C4 | 1 | 2 | yes | — |
| 112 | M16×C47 | — | 2 | 1 | no | — |
| 113 | M16×C47 | — | 2 | 2 | no | — |
| 114 | M16×C47 | — | 2 | 2 | no | — |
| 115 | M16×C47 | — | 4 | 4 | no | — |
| 116 | M16×C47 | C2×D4 | 1 | 2 | yes | — |
| 117 | C2×C8×C47 | — | 2 | 1 | no | — |
| 118 | C2×C8×C47 | — | 2 | 2 | no | — |
| 119 | C2×C8×C47 | — | 4 | 4 | no | — |
| 120 | C2×C8×C47 | C22×C4 | 1 | 1 | yes | characteristic |
| 121 | C2×C8×C47 | C22×C4 | 1 | 1 | yes | characteristic |
| 122 | C2×C8×C47 | C2×D4 | 1 | 1 | yes | characteristic |
| 123 | C2×C8×C47 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | C2×C8×C47 | C2×Q8 | 1 | 1 | yes | characteristic |
| 125 | C2×C8×C47 | C2×Q8 | 1 | 1 | yes | characteristic |
| 126 | C4⋊C4×C47 | — | 2 | 1 | no | — |
| 127 | C22⋊C4×C47 | — | 2 | 1 | no | — |
| 128 | C42×C47 | — | 2 | 1 | no | — |
| 129 | C22⋊Dic47 | — | 2 | 1 | no | — |
| 130 | C4⋊Dic47 | — | 2 | 1 | no | — |
| 131 | C4×Dic47 | — | 2 | 1 | no | — |
| 132 | C4×Dic47 | — | 2 | 1 | no | — |
| 133 | C4×Dic47 | C22×C4 | 1 | 2 | yes | — |
| 134 | #10625329 | — | 2 | 2 | no | — |
| 135 | #10625329 | — | 2 | 1 | no | — |
| 136 | #10625329 | — | 2 | 4 | no | — |
| 137 | #10625329 | — | 2 | 4 | no | — |
| 138 | #10625329 | — | 2 | 2 | no | — |
| 139 | #10625329 | — | 2 | 2 | no | — |
| 140 | #10625329 | — | 4 | 4 | no | — |
| 141 | #10625329 | C22×C4 | 1 | 4 | yes | — |
| 142 | #10625329 | C2×D4 | 1 | 2 | yes | — |
| 143 | C2×C47⋊C8 | — | 2 | 1 | no | — |
| 144 | C2×C47⋊C8 | — | 2 | 2 | no | — |
| 145 | C2×C47⋊C8 | — | 2 | 4 | no | — |
| 146 | C2×C47⋊C8 | — | 2 | 4 | no | — |
| 147 | C2×C47⋊C8 | — | 2 | 2 | no | — |
| 148 | C2×C47⋊C8 | — | 4 | 4 | no | — |
| 149 | C2×C47⋊C8 | C22×C4 | 1 | 2 | yes | — |
| 150 | C2×C47⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 151 | C2×C47⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 152 | C2×C47⋊C8 | #41 | 1 | 1 | yes | characteristic |
| 153 | C23×C47 | — | 2 | 2 | no | — |
| 154 | C23×C47 | 2−1+4 | 1 | 1 | yes | characteristic |
| 155 | Q8×C47 | — | 2 | 2 | no | — |
| 156 | Q8×C47 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 157 | D4×C47 | — | 2 | 4 | no | — |
| 158 | D4×C47 | — | 2 | 4 | no | — |
| 159 | D4×C47 | — | 2 | 2 | no | — |
| 160 | D4×C47 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 161 | C2×C4×C47 | — | 2 | 2 | no | — |
| 162 | C2×C4×C47 | — | 2 | 4 | no | — |
| 163 | C2×C4×C47 | — | 2 | 4 | no | — |
| 164 | C2×C4×C47 | — | 4 | 1 | no | — |
| 165 | C2×C4×C47 | C23×C4 | 1 | 1 | yes | characteristic |
| 166 | C2×C4×C47 | C22×D4 | 1 | 1 | yes | characteristic |
| 167 | C2×C4×C47 | C22×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×C4×C47 | C22×Q8 | 1 | 1 | yes | characteristic |
| 169 | C2×C4×C47 | C2×#41 | 1 | 1 | yes | characteristic |
| 170 | C2×C4×C47 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 171 | C2×Dic47 | — | 2 | 2 | no | — |
| 172 | C2×Dic47 | — | 4 | 1 | no | — |
| 173 | C2×Dic47 | — | 8 | 1 | no | — |
| 174 | C8×C47 | — | 2 | 2 | no | — |
| 175 | C8×C47 | — | 4 | 2 | no | — |
| 176 | C8×C47 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 177 | C8×C47 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 178 | C8×C47 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 179 | C8×C47 | C2×C4⋊C4 | 1 | 1 | yes | characteristic |
| 180 | C47⋊C8 | — | 2 | 4 | no | — |
| 181 | C47⋊C8 | — | 2 | 2 | no | — |
| 182 | C47⋊C8 | — | 4 | 2 | no | — |
| 183 | C47⋊C8 | C4×D4 | 1 | 2 | yes | — |
| 184 | C47⋊C8 | C4×D4 | 1 | 2 | yes | — |
| 185 | #22695 | — | 47 | 1 | no | maximal, Sylow |
| 186 | C22×C47 | — | 2 | 4 | no | — |
| 187 | C22×C47 | — | 4 | 1 | no | — |
| 188 | C22×C47 | — | 8 | 2 | no | — |
| 189 | C22×C47 | #520 | 1 | 1 | yes | characteristic |
| 190 | C22×C47 | #547 | 1 | 1 | yes | characteristic |
| 191 | C22×C47 | D4×Q8 | 1 | 1 | yes | characteristic |
| 192 | C4×C47 | — | 2 | 4 | no | — |
| 193 | C4×C47 | — | 8 | 1 | no | — |
| 194 | C4×C47 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 195 | C4×C47 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 196 | C4×C47 | D42 | 1 | 1 | yes | characteristic |
| 197 | C4×C47 | #554 | 1 | 1 | yes | characteristic |
| 198 | Dic47 | — | 4 | 2 | no | — |
| 199 | Dic47 | — | 8 | 1 | no | — |
| 200 | #2957 | — | 47 | 1 | no | — |
| 201 | #2957 | D47 | 1 | 1 | yes | characteristic |
| 202 | C2×#444 | — | 47 | 1 | no | — |
| 203 | #2916 | — | 47 | 2 | no | — |
| 204 | #1953 | — | 47 | 1 | no | — |
| 205 | #1953 | — | 47 | 1 | no | — |
| 206 | #1861 | — | 47 | 2 | no | — |
| 207 | #1861 | — | 47 | 2 | no | — |
| 208 | #1849 | — | 47 | 1 | no | — |
| 209 | #1814 | — | 47 | 2 | no | — |
| 210 | #1773 | — | 47 | 1 | no | — |
| 211 | C2×C47 | — | 2 | 1 | no | — |
| 212 | C2×C47 | — | 2 | 1 | no | — |
| 213 | C2×C47 | — | 2 | 1 | no | — |
| 214 | C2×C47 | — | 4 | 4 | no | — |
| 215 | C2×C47 | D4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 216 | C2×#135 | C2×D47 | 1 | 1 | yes | characteristic |
| 217 | #568 | — | 47 | 2 | no | — |
| 218 | #568 | C2×D47 | 1 | 2 | yes | — |
| 219 | C2×#131 | — | 47 | 2 | no | — |
| 220 | #444 | — | 2 | 2 | no | — |
| 221 | #444 | — | 47 | 4 | no | — |
| 222 | #444 | — | 47 | 4 | no | — |
| 223 | #444 | — | 94 | 2 | no | — |
| 224 | #443 | — | 2 | 2 | no | — |
| 225 | #443 | — | 94 | 2 | no | — |
| 226 | #430 | — | 47 | 2 | no | — |
| 227 | #430 | — | 47 | 2 | no | — |
| 228 | #430 | — | 94 | 4 | no | — |
| 229 | C2×#108 | — | 47 | 1 | no | — |
| 230 | C2×#108 | — | 47 | 1 | no | — |
| 231 | C2×#108 | — | 47 | 2 | no | — |
| 232 | C2×#108 | — | 47 | 1 | no | — |
| 233 | C2×#108 | — | 94 | 4 | no | — |
| 234 | C2×#108 | C2×D47 | 1 | 1 | yes | characteristic |
| 235 | #427 | — | 47 | 1 | no | — |
| 236 | #423 | — | 47 | 2 | no | — |
| 237 | #421 | — | 47 | 2 | no | — |
| 238 | #421 | C2×D47 | 1 | 2 | yes | — |
| 239 | C2×#104 | — | 47 | 2 | no | — |
| 240 | #405 | — | 47 | 1 | no | — |
| 241 | #405 | C2×D47 | 1 | 1 | yes | characteristic |
| 242 | C2×#97 | — | 47 | 1 | no | — |
| 243 | #344 | — | 47 | 2 | no | — |
| 244 | #344 | — | 47 | 2 | no | — |
| 245 | #339 | — | 47 | 1 | no | — |
| 246 | #339 | — | 47 | 1 | no | — |
| 247 | C47 | #22695 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 248 | C2×#41 | C22×D47 | 1 | 2 | yes | — |
| 249 | #135 | C4×D47 | 1 | 2 | yes | — |
| 250 | #135 | C4×D47 | 1 | 2 | yes | — |
| 251 | #135 | C22⋊D47 | 1 | 2 | yes | — |
| 252 | #135 | C22⋊D47 | 1 | 2 | yes | — |
| 253 | C2×Q16 | Dic94 | 1 | 1 | yes | characteristic |
| 254 | C2×SD16 | Dic94 | 1 | 2 | yes | — |
| 255 | C2×D8 | Dic94 | 1 | 1 | yes | characteristic |
| 256 | #131 | — | 2 | 4 | no | — |
| 257 | #131 | — | 4 | 2 | no | — |
| 258 | #131 | — | 47 | 4 | no | — |
| 259 | #131 | — | 47 | 4 | no | — |
| 260 | #131 | — | 94 | 2 | no | — |
| 261 | #131 | — | 94 | 2 | no | — |
| 262 | #131 | — | 94 | 4 | no | — |
| 263 | #131 | — | 188 | 2 | no | — |
| 264 | C2×M16 | — | 2 | 4 | no | — |
| 265 | C2×M16 | — | 47 | 2 | no | — |
| 266 | C2×M16 | — | 47 | 1 | no | — |
| 267 | C2×M16 | — | 47 | 2 | no | — |
| 268 | C2×M16 | — | 94 | 2 | no | — |
| 269 | C2×M16 | — | 94 | 4 | no | — |
| 270 | C2×M16 | C22×D47 | 1 | 2 | yes | — |
| 271 | C2×M16 | C22×D47 | 1 | 1 | yes | characteristic |
| 272 | C22×C8 | — | 47 | 1 | no | — |
| 273 | C22×C8 | — | 94 | 2 | no | — |
| 274 | C22×C8 | C22×D47 | 1 | 1 | yes | characteristic |
| 275 | #117 | — | 47 | 1 | no | — |
| 276 | #117 | C22×D47 | 1 | 1 | yes | characteristic |
| 277 | C2×C42 | — | 47 | 1 | no | — |
| 278 | #108 | — | 2 | 1 | no | — |
| 279 | #108 | — | 2 | 1 | no | — |
| 280 | #108 | — | 47 | 4 | no | — |
| 281 | #108 | — | 47 | 2 | no | — |
| 282 | #108 | — | 47 | 2 | no | — |
| 283 | #108 | — | 94 | 2 | no | — |
| 284 | #108 | — | 94 | 2 | no | — |
| 285 | #108 | — | 94 | 4 | no | — |
| 286 | #108 | — | 94 | 4 | no | — |
| 287 | #108 | — | 94 | 1 | no | — |
| 288 | #108 | — | 94 | 1 | no | — |
| 289 | #107 | — | 94 | 1 | no | — |
| 290 | #106 | — | 94 | 1 | no | — |
| 291 | C4⋊C8 | — | 188 | 2 | no | — |
| 292 | #104 | — | 2 | 4 | no | — |
| 293 | #104 | — | 47 | 8 | no | — |
| 294 | #104 | — | 94 | 4 | no | — |
| 295 | #97 | — | 2 | 1 | no | — |
| 296 | #97 | — | 47 | 2 | no | — |
| 297 | #97 | — | 47 | 2 | no | — |
| 298 | #97 | — | 94 | 1 | no | — |
| 299 | C4×C8 | — | 2 | 1 | no | — |
| 300 | C4×C8 | — | 94 | 1 | no | — |
| 301 | #41 | — | 2 | 2 | no | — |
| 302 | #41 | — | 2 | 2 | no | — |
| 303 | #41 | C2×C4×D47 | 1 | 4 | yes | — |
| 304 | #41 | C2×C22⋊D47 | 1 | 4 | yes | — |
| 305 | C2×Q8 | C2×Dic94 | 1 | 2 | yes | — |
| 306 | C2×D4 | — | 2 | 2 | no | — |
| 307 | C2×D4 | C2×Dic94 | 1 | 2 | yes | — |
| 308 | C22×C4 | — | 2 | 2 | no | — |
| 309 | C22×C4 | — | 94 | 1 | no | — |
| 310 | C22×C4 | C23×D47 | 1 | 1 | yes | characteristic |
| 311 | Q16 | Dic47⋊C4 | 1 | 2 | yes | — |
| 312 | Q16 | Dic47⋊C4 | 1 | 2 | yes | — |
| 313 | SD16 | Dic47⋊C4 | 1 | 4 | yes | — |
| 314 | SD16 | Dic47⋊C4 | 1 | 4 | yes | — |
| 315 | D8 | Dic47⋊C4 | 1 | 2 | yes | — |
| 316 | D8 | Dic47⋊C4 | 1 | 2 | yes | — |
| 317 | M16 | — | 2 | 1 | no | — |
| 318 | M16 | — | 2 | 2 | no | — |
| 319 | M16 | — | 2 | 2 | no | — |
| 320 | M16 | — | 4 | 4 | no | — |
| 321 | M16 | — | 47 | 4 | no | — |
| 322 | M16 | — | 47 | 2 | no | — |
| 323 | M16 | — | 94 | 4 | no | — |
| 324 | M16 | — | 94 | 4 | no | — |
| 325 | M16 | — | 94 | 2 | no | — |
| 326 | M16 | — | 94 | 1 | no | — |
| 327 | M16 | — | 94 | 2 | no | — |
| 328 | M16 | — | 94 | 2 | no | — |
| 329 | M16 | — | 188 | 4 | no | — |
| 330 | M16 | D4×D47 | 1 | 2 | yes | — |
| 331 | C2×C8 | — | 2 | 1 | no | — |
| 332 | C2×C8 | — | 2 | 2 | no | — |
| 333 | C2×C8 | — | 4 | 4 | no | — |
| 334 | C2×C8 | — | 47 | 2 | no | — |
| 335 | C2×C8 | — | 47 | 2 | no | — |
| 336 | C2×C8 | — | 47 | 1 | no | — |
| 337 | C2×C8 | — | 47 | 1 | no | — |
| 338 | C2×C8 | — | 94 | 4 | no | — |
| 339 | C2×C8 | — | 94 | 4 | no | — |
| 340 | C2×C8 | — | 94 | 2 | no | — |
| 341 | C2×C8 | — | 94 | 1 | no | — |
| 342 | C2×C8 | — | 94 | 2 | no | — |
| 343 | C2×C8 | — | 188 | 4 | no | — |
| 344 | C2×C8 | C2×Dic94 | 1 | 1 | yes | characteristic |
| 345 | C2×C8 | C2×Dic94 | 1 | 1 | yes | characteristic |
| 346 | C2×C8 | C2×C4×D47 | 1 | 1 | yes | characteristic |
| 347 | C2×C8 | C2×C4×D47 | 1 | 1 | yes | characteristic |
| 348 | C2×C8 | C2×C22⋊D47 | 1 | 1 | yes | characteristic |
| 349 | C2×C8 | C2×C22⋊D47 | 1 | 1 | yes | characteristic |
| 350 | C4⋊C4 | — | 2 | 1 | no | — |
| 351 | C4⋊C4 | — | 94 | 1 | no | — |
| 352 | C22⋊C4 | — | 2 | 1 | no | — |
| 353 | C22⋊C4 | — | 94 | 1 | no | — |
| 354 | C42 | — | 2 | 1 | no | — |
| 355 | C42 | — | 47 | 2 | no | — |
| 356 | C42 | — | 94 | 1 | no | — |
| 357 | C42 | — | 94 | 1 | no | — |
| 358 | C23 | — | 2 | 2 | no | — |
| 359 | C23 | #13094071 | 1 | 1 | yes | characteristic |
| 360 | Q8 | — | 2 | 2 | no | — |
| 361 | Q8 | C2×Dic47⋊C4 | 1 | 4 | yes | — |
| 362 | D4 | — | 2 | 4 | no | — |
| 363 | D4 | — | 2 | 4 | no | — |
| 364 | D4 | — | 2 | 2 | no | — |
| 365 | D4 | C2×Dic47⋊C4 | 1 | 4 | yes | — |
| 366 | C2×C4 | — | 2 | 2 | no | — |
| 367 | C2×C4 | — | 2 | 4 | no | — |
| 368 | C2×C4 | — | 2 | 4 | no | — |
| 369 | C2×C4 | — | 4 | 1 | no | — |
| 370 | C2×C4 | — | 94 | 2 | no | — |
| 371 | C2×C4 | — | 376 | 1 | no | — |
| 372 | C2×C4 | — | 188 | 1 | no | — |
| 373 | C2×C4 | C22×C4×D47 | 1 | 1 | yes | characteristic |
| 374 | C2×C4 | C2×D4×D47 | 1 | 1 | yes | characteristic |
| 375 | C2×C4 | C22×C22⋊D47 | 1 | 1 | yes | characteristic |
| 376 | C2×C4 | C22×Dic94 | 1 | 1 | yes | characteristic |
| 377 | C2×C4 | #41×D47 | 1 | 1 | yes | characteristic |
| 378 | C2×C4 | #13094069 | 1 | 1 | yes | characteristic |
| 379 | C8 | — | 2 | 2 | no | — |
| 380 | C8 | — | 4 | 2 | no | — |
| 381 | C8 | — | 47 | 2 | no | — |
| 382 | C8 | — | 47 | 2 | no | — |
| 383 | C8 | — | 94 | 2 | no | — |
| 384 | C8 | — | 94 | 4 | no | — |
| 385 | C8 | — | 188 | 2 | no | — |
| 386 | C8 | C2×Dic47⋊C4 | 1 | 1 | yes | characteristic |
| 387 | C8 | C2×Dic47⋊C4 | 1 | 1 | yes | characteristic |
| 388 | C8 | C2×Dic47⋊C4 | 1 | 1 | yes | characteristic |
| 389 | C8 | C2×Dic47⋊C4 | 1 | 1 | yes | characteristic |
| 390 | C22 | — | 2 | 4 | no | — |
| 391 | C22 | — | 4 | 1 | no | — |
| 392 | C22 | — | 8 | 2 | no | — |
| 393 | C22 | #15689602 | 1 | 1 | yes | characteristic |
| 394 | C22 | #15689772 | 1 | 1 | yes | characteristic |
| 395 | C22 | D4×Dic94 | 1 | 1 | yes | characteristic |
| 396 | C4 | — | 2 | 4 | no | — |
| 397 | C4 | — | 8 | 1 | no | — |
| 398 | C4 | — | 376 | 1 | no | — |
| 399 | C4 | — | 188 | 2 | no | — |
| 400 | C4 | C22×Dic47⋊C4 | 1 | 1 | yes | characteristic |
| 401 | C4 | C4×D4×D47 | 1 | 1 | yes | characteristic |
| 402 | C4 | D4×C22⋊D47 | 1 | 1 | yes | characteristic |
| 403 | C4 | #15689832 | 1 | 1 | yes | characteristic |
| 404 | C2 | — | 2 | 1 | no | — |
| 405 | C2 | — | 2 | 1 | no | — |
| 406 | C2 | — | 2 | 1 | no | — |
| 407 | C2 | — | 4 | 4 | no | — |
| 408 | C2 | D4×Dic47⋊C4 | 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