← #27091184
Subgroups — #27091184
Order 12032.
1668 conjugacy classes of subgroups.
The subgroup lattice has 712 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #20257310 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #20254838 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #20254829 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #20254628 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #20254590 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #20254415 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #20254395 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #20254270 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #20254091 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #20253988 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #20253688 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #20253679 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #20253596 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #20252039 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C47×#3509 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #15689823 | — | 2 | 2 | no | — |
| 17 | #15689822 | — | 2 | 2 | no | — |
| 18 | #15689822 | — | 2 | 2 | no | — |
| 19 | #15689814 | — | 2 | 2 | no | — |
| 20 | #15689735 | C22 | 1 | 1 | yes | characteristic |
| 21 | #15689735 | C22 | 1 | 1 | yes | characteristic |
| 22 | #15689728 | C22 | 1 | 1 | yes | characteristic |
| 23 | #15689728 | C22 | 1 | 1 | yes | characteristic |
| 24 | #15689701 | C22 | 1 | 2 | yes | — |
| 25 | #15689673 | C22 | 1 | 1 | yes | characteristic |
| 26 | #15689657 | C22 | 1 | 2 | yes | — |
| 27 | #15689657 | C22 | 1 | 2 | yes | — |
| 28 | C2×#13094016 | C22 | 1 | 1 | yes | characteristic |
| 29 | #15689603 | C22 | 1 | 2 | yes | — |
| 30 | #15689529 | C22 | 1 | 2 | yes | — |
| 31 | #15689529 | C22 | 1 | 2 | yes | — |
| 32 | #15689515 | C22 | 1 | 2 | yes | — |
| 33 | #15689515 | C22 | 1 | 2 | yes | — |
| 34 | #15689491 | C22 | 1 | 2 | yes | — |
| 35 | #15689491 | C22 | 1 | 2 | yes | — |
| 36 | #15689485 | C22 | 1 | 2 | yes | — |
| 37 | #15689485 | C22 | 1 | 2 | yes | — |
| 38 | #15689464 | C22 | 1 | 4 | yes | — |
| 39 | #15689456 | C22 | 1 | 4 | yes | — |
| 40 | #15689451 | C22 | 1 | 4 | yes | — |
| 41 | #15689447 | C22 | 1 | 4 | yes | — |
| 42 | #15689430 | C22 | 1 | 4 | yes | — |
| 43 | #15689430 | C22 | 1 | 4 | yes | — |
| 44 | #15689427 | C22 | 1 | 4 | yes | — |
| 45 | #15689420 | C22 | 1 | 4 | yes | — |
| 46 | #15689379 | C22 | 1 | 4 | yes | — |
| 47 | #15689371 | C22 | 1 | 4 | yes | — |
| 48 | #15689362 | C22 | 1 | 4 | yes | — |
| 49 | #15689354 | C22 | 1 | 4 | yes | — |
| 50 | #15689333 | C22 | 1 | 4 | yes | — |
| 51 | #15689330 | C22 | 1 | 4 | yes | — |
| 52 | #15689325 | C22 | 1 | 4 | yes | — |
| 53 | #15689323 | C22 | 1 | 4 | yes | — |
| 54 | #15689283 | C22 | 1 | 4 | yes | — |
| 55 | #15689283 | C22 | 1 | 4 | yes | — |
| 56 | #15689279 | C22 | 1 | 4 | yes | — |
| 57 | #15689262 | C22 | 1 | 4 | yes | — |
| 58 | #15689228 | C22 | 1 | 4 | yes | — |
| 59 | #15689221 | C22 | 1 | 4 | yes | — |
| 60 | C4×#10625337 | C22 | 1 | 4 | yes | — |
| 61 | C4×#10625336 | C22 | 1 | 4 | yes | — |
| 62 | #15689184 | C22 | 1 | 2 | yes | — |
| 63 | #15689184 | C22 | 1 | 2 | yes | — |
| 64 | #15689180 | C22 | 1 | 2 | yes | — |
| 65 | #15689180 | C22 | 1 | 2 | yes | — |
| 66 | #15689150 | C22 | 1 | 2 | yes | — |
| 67 | #15689090 | C22 | 1 | 2 | yes | — |
| 68 | C4×#10625329 | C22 | 1 | 1 | yes | characteristic |
| 69 | C2×#13093935 | C22 | 1 | 1 | yes | characteristic |
| 70 | C47×#557 | — | 2 | 2 | no | — |
| 71 | C47×#556 | — | 2 | 2 | no | — |
| 72 | C47×#552 | — | 2 | 2 | no | — |
| 73 | C47×#552 | — | 2 | 2 | no | — |
| 74 | C47×#541 | C22 | 1 | 2 | yes | — |
| 75 | C47×#541 | C22 | 1 | 2 | yes | — |
| 76 | C47×#536 | C22 | 1 | 2 | yes | — |
| 77 | C47×#533 | C22 | 1 | 2 | yes | — |
| 78 | C47×#533 | C22 | 1 | 2 | yes | — |
| 79 | C47×#533 | C22 | 1 | 1 | yes | characteristic |
| 80 | C2×C4⋊Q8×C47 | C22 | 1 | 1 | yes | characteristic |
| 81 | C47×#519 | C22 | 1 | 2 | yes | — |
| 82 | C4×#41×C47 | C22 | 1 | 1 | yes | characteristic |
| 83 | C2×#10625350 | C23 | 1 | 2 | yes | — |
| 84 | C2×#10625337 | C23 | 1 | 4 | yes | — |
| 85 | C2×#10625337 | C23 | 1 | 4 | yes | — |
| 86 | C2×#10625336 | C23 | 1 | 4 | yes | — |
| 87 | C2×#10625336 | C23 | 1 | 4 | yes | — |
| 88 | C2×#10625329 | C23 | 1 | 2 | yes | — |
| 89 | C22×C47⋊C8 | C23 | 1 | 2 | yes | — |
| 90 | #13094024 | C23 | 1 | 1 | yes | characteristic |
| 91 | #13094021 | C23 | 1 | 1 | yes | characteristic |
| 92 | #13094018 | — | 2 | 2 | no | — |
| 93 | #13094018 | — | 2 | 2 | no | — |
| 94 | #13094017 | — | 2 | 2 | no | — |
| 95 | #13094017 | — | 2 | 2 | no | — |
| 96 | #13094016 | — | 2 | 2 | no | — |
| 97 | #13094016 | C23 | 1 | 1 | yes | characteristic |
| 98 | #13094016 | C23 | 1 | 1 | yes | characteristic |
| 99 | #13094016 | C23 | 1 | 2 | yes | — |
| 100 | #13094014 | — | 2 | 2 | no | — |
| 101 | #13094014 | — | 2 | 2 | no | — |
| 102 | #13094012 | C23 | 1 | 2 | yes | — |
| 103 | #13094009 | — | 2 | 2 | no | — |
| 104 | #13094009 | — | 2 | 2 | no | — |
| 105 | #13094007 | — | 2 | 2 | no | — |
| 106 | #13094007 | — | 2 | 2 | no | — |
| 107 | #13094003 | C23 | 1 | 2 | yes | — |
| 108 | #13094003 | C23 | 1 | 2 | yes | — |
| 109 | #13094000 | — | 2 | 2 | no | — |
| 110 | #13093998 | — | 2 | 2 | no | — |
| 111 | #13093998 | C23 | 1 | 2 | yes | — |
| 112 | #13093998 | C23 | 1 | 2 | yes | — |
| 113 | #13093997 | — | 2 | 2 | no | — |
| 114 | #13093997 | — | 2 | 2 | no | — |
| 115 | #13093996 | — | 2 | 2 | no | — |
| 116 | #13093996 | — | 2 | 2 | no | — |
| 117 | #13093995 | — | 2 | 2 | no | — |
| 118 | C4×Dic94 | C23 | 1 | 2 | yes | — |
| 119 | C4×Dic94 | C23 | 1 | 2 | yes | — |
| 120 | C4×D188 | — | 2 | 2 | no | — |
| 121 | C4×D188 | C23 | 1 | 2 | yes | — |
| 122 | C4×D188 | C23 | 1 | 2 | yes | — |
| 123 | C4×C22⋊D47 | — | 2 | 2 | no | — |
| 124 | C4×C22⋊D47 | — | 2 | 2 | no | — |
| 125 | (C22⋊D47)⋊C4 | — | 2 | 2 | no | — |
| 126 | (C22⋊D47)⋊C4 | — | 2 | 2 | no | — |
| 127 | #13093982 | — | 2 | 2 | no | — |
| 128 | #13093981 | — | 2 | 2 | no | — |
| 129 | #13093981 | — | 2 | 2 | no | — |
| 130 | C2×C4⋊Dic47 | C23 | 1 | 2 | yes | — |
| 131 | C2×Dic47⋊C4 | — | 2 | 2 | no | — |
| 132 | C4⋊C4×D47 | — | 2 | 2 | no | — |
| 133 | #13093957 | C23 | 1 | 4 | yes | — |
| 134 | #13093957 | C23 | 1 | 4 | yes | — |
| 135 | #13093955 | C23 | 1 | 4 | yes | — |
| 136 | #13093955 | C23 | 1 | 4 | yes | — |
| 137 | C4⋊(C47⋊C8) | C23 | 1 | 4 | yes | — |
| 138 | C4⋊(C47⋊C8) | C23 | 1 | 4 | yes | — |
| 139 | #13093948 | C23 | 1 | 4 | yes | — |
| 140 | #13093948 | C23 | 1 | 4 | yes | — |
| 141 | #13093948 | C23 | 1 | 4 | yes | — |
| 142 | #13093948 | C23 | 1 | 4 | yes | — |
| 143 | #13093947 | C23 | 1 | 4 | yes | — |
| 144 | #13093947 | C23 | 1 | 4 | yes | — |
| 145 | #13093944 | C23 | 1 | 4 | yes | — |
| 146 | #13093944 | C23 | 1 | 4 | yes | — |
| 147 | C22⋊(C47⋊C8) | C23 | 1 | 4 | yes | — |
| 148 | C22⋊(C47⋊C8) | C23 | 1 | 4 | yes | — |
| 149 | #13093935 | C23 | 1 | 2 | yes | — |
| 150 | #13093935 | C23 | 1 | 2 | yes | — |
| 151 | #13093935 | C23 | 1 | 2 | yes | — |
| 152 | C4×C47⋊C8 | C23 | 1 | 2 | yes | — |
| 153 | C2×#41×C47 | C23 | 1 | 1 | yes | characteristic |
| 154 | C22×Q8×C47 | C23 | 1 | 2 | yes | — |
| 155 | C4⋊Q8×C47 | — | 2 | 2 | no | — |
| 156 | C4⋊Q8×C47 | — | 2 | 2 | no | — |
| 157 | C4⋊Q8×C47 | C23 | 1 | 2 | yes | — |
| 158 | C4⋊Q8×C47 | C23 | 1 | 2 | yes | — |
| 159 | C4⋊Q8×C47 | C23 | 1 | 2 | yes | — |
| 160 | #126×C47 | — | 2 | 4 | no | — |
| 161 | #126×C47 | — | 2 | 4 | no | — |
| 162 | #125×C47 | — | 2 | 4 | no | — |
| 163 | #125×C47 | — | 2 | 4 | no | — |
| 164 | #125×C47 | — | 2 | 2 | no | — |
| 165 | #125×C47 | — | 2 | 2 | no | — |
| 166 | #125×C47 | C23 | 1 | 2 | yes | — |
| 167 | #124×C47 | — | 2 | 2 | no | — |
| 168 | #123×C47 | — | 2 | 2 | no | — |
| 169 | #123×C47 | — | 2 | 2 | no | — |
| 170 | C22⋊Q8×C47 | — | 2 | 2 | no | — |
| 171 | C22⋊Q8×C47 | — | 2 | 2 | no | — |
| 172 | C22⋊Q8×C47 | — | 2 | 2 | no | — |
| 173 | C22⋊Q8×C47 | C23 | 1 | 4 | yes | — |
| 174 | C22⋊Q8×C47 | C23 | 1 | 4 | yes | — |
| 175 | C4×Q8×C47 | — | 2 | 4 | no | — |
| 176 | C4×Q8×C47 | — | 2 | 2 | no | — |
| 177 | C4×Q8×C47 | — | 2 | 2 | no | — |
| 178 | C4×Q8×C47 | — | 2 | 2 | no | — |
| 179 | C4×Q8×C47 | D4 | 1 | 2 | yes | — |
| 180 | C4×Q8×C47 | C23 | 1 | 4 | yes | — |
| 181 | C4×Q8×C47 | C23 | 1 | 4 | yes | — |
| 182 | C4×D4×C47 | D4 | 1 | 2 | yes | — |
| 183 | C4×D4×C47 | D4 | 1 | 2 | yes | — |
| 184 | C4×D4×C47 | D4 | 1 | 2 | yes | — |
| 185 | #117×C47 | — | 2 | 2 | no | — |
| 186 | #117×C47 | — | 2 | 2 | no | — |
| 187 | #117×C47 | — | 2 | 4 | no | — |
| 188 | #117×C47 | C23 | 1 | 2 | yes | — |
| 189 | #117×C47 | C23 | 1 | 1 | yes | characteristic |
| 190 | #117×C47 | C23 | 1 | 1 | yes | characteristic |
| 191 | #117×C47 | C23 | 1 | 1 | yes | characteristic |
| 192 | C2×C4⋊C4×C47 | — | 2 | 2 | no | — |
| 193 | C2×C42×C47 | C23 | 1 | 1 | yes | characteristic |
| 194 | C2×C42×C47 | C23 | 1 | 1 | yes | characteristic |
| 195 | C2×C42×C47 | C23 | 1 | 1 | yes | characteristic |
| 196 | #41×C47 | — | 4 | 2 | no | — |
| 197 | C2×Q8×C47 | — | 2 | 2 | no | — |
| 198 | C2×Q8×C47 | — | 2 | 2 | no | — |
| 199 | C2×Q8×C47 | — | 4 | 4 | no | — |
| 200 | C2×Q8×C47 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C2×Q8×C47 | C24 | 1 | 4 | yes | — |
| 202 | C2×D4×C47 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C2×D4×C47 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×D4×C47 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C22×C4×C47 | — | 2 | 2 | no | — |
| 206 | C22×C4×C47 | C2×D4 | 1 | 2 | yes | — |
| 207 | C22×C4×C47 | C2×D4 | 1 | 2 | yes | — |
| 208 | C22×C4×C47 | C2×D4 | 1 | 2 | yes | — |
| 209 | C22×C4×C47 | C24 | 1 | 1 | yes | characteristic |
| 210 | C22×C4×C47 | C24 | 1 | 1 | yes | characteristic |
| 211 | C22×C4×C47 | C24 | 1 | 1 | yes | characteristic |
| 212 | C2×C22⋊D47 | — | 2 | 2 | no | — |
| 213 | C2×C22⋊D47 | — | 2 | 2 | no | — |
| 214 | C2×C22⋊D47 | — | 2 | 2 | no | — |
| 215 | C22×Dic47 | — | 2 | 2 | no | — |
| 216 | #10625350 | — | 4 | 4 | no | — |
| 217 | C2×D188 | — | 2 | 2 | no | — |
| 218 | C2×D188 | C24 | 1 | 2 | yes | — |
| 219 | C2×C4×D47 | — | 2 | 2 | no | — |
| 220 | C2×C4×D47 | — | 2 | 2 | no | — |
| 221 | C2×C4×D47 | — | 2 | 2 | no | — |
| 222 | C2×Dic94 | C24 | 1 | 2 | yes | — |
| 223 | C4⋊C4×C47 | — | 2 | 2 | no | — |
| 224 | C4⋊C4×C47 | — | 2 | 2 | no | — |
| 225 | C4⋊C4×C47 | — | 2 | 4 | no | — |
| 226 | C4⋊C4×C47 | — | 2 | 2 | no | — |
| 227 | C4⋊C4×C47 | — | 2 | 4 | no | — |
| 228 | C4⋊C4×C47 | — | 2 | 4 | no | — |
| 229 | C4⋊C4×C47 | — | 2 | 4 | no | — |
| 230 | C4⋊C4×C47 | — | 2 | 4 | no | — |
| 231 | C4⋊C4×C47 | — | 2 | 4 | no | — |
| 232 | C4⋊C4×C47 | C2×D4 | 1 | 2 | yes | — |
| 233 | C4⋊C4×C47 | C2×D4 | 1 | 2 | yes | — |
| 234 | C4⋊C4×C47 | C2×D4 | 1 | 2 | yes | — |
| 235 | C4⋊C4×C47 | C24 | 1 | 4 | yes | — |
| 236 | C22⋊C4×C47 | — | 2 | 2 | no | — |
| 237 | C22⋊C4×C47 | — | 2 | 4 | no | — |
| 238 | C22⋊C4×C47 | — | 2 | 4 | no | — |
| 239 | C22⋊C4×C47 | C2×D4 | 1 | 2 | yes | — |
| 240 | C22⋊C4×C47 | C2×D4 | 1 | 2 | yes | — |
| 241 | C22⋊C4×C47 | C2×D4 | 1 | 2 | yes | — |
| 242 | C42×C47 | — | 2 | 4 | no | — |
| 243 | C42×C47 | — | 2 | 4 | no | — |
| 244 | C42×C47 | — | 2 | 2 | no | — |
| 245 | C42×C47 | C2×D4 | 1 | 2 | yes | — |
| 246 | C42×C47 | C2×D4 | 1 | 2 | yes | — |
| 247 | C42×C47 | C2×D4 | 1 | 2 | yes | — |
| 248 | C42×C47 | C24 | 1 | 1 | yes | characteristic |
| 249 | C42×C47 | C24 | 1 | 1 | yes | characteristic |
| 250 | C42×C47 | C24 | 1 | 1 | yes | characteristic |
| 251 | C42×C47 | C24 | 1 | 1 | yes | characteristic |
| 252 | C22⋊Dic47 | — | 2 | 2 | no | — |
| 253 | C22⋊Dic47 | — | 2 | 2 | no | — |
| 254 | #10625337 | — | 4 | 4 | no | — |
| 255 | #10625337 | — | 4 | 4 | no | — |
| 256 | #10625336 | — | 4 | 4 | no | — |
| 257 | #10625336 | — | 4 | 4 | no | — |
| 258 | (C2×D47)⋊C4 | — | 2 | 2 | no | — |
| 259 | (C2×D47)⋊C4 | — | 2 | 2 | no | — |
| 260 | (C2×D47)⋊C4 | — | 2 | 2 | no | — |
| 261 | (C2×D47)⋊C4 | — | 2 | 2 | no | — |
| 262 | (C2×D47)⋊C4 | — | 2 | 2 | no | — |
| 263 | (C2×D47)⋊C4 | — | 2 | 2 | no | — |
| 264 | C4⋊Dic47 | — | 2 | 2 | no | — |
| 265 | C4⋊Dic47 | — | 2 | 2 | no | — |
| 266 | C4⋊Dic47 | C24 | 1 | 2 | yes | — |
| 267 | C4⋊Dic47 | C24 | 1 | 2 | yes | — |
| 268 | Dic47⋊C4 | — | 2 | 2 | no | — |
| 269 | Dic47⋊C4 | — | 2 | 2 | no | — |
| 270 | Dic47⋊C4 | — | 2 | 2 | no | — |
| 271 | Dic47⋊C4 | — | 2 | 2 | no | — |
| 272 | Dic47⋊C4 | — | 2 | 2 | no | — |
| 273 | Dic47⋊C4 | — | 2 | 2 | no | — |
| 274 | Dic47⋊C4 | — | 2 | 2 | no | — |
| 275 | Dic47⋊C4 | — | 2 | 2 | no | — |
| 276 | C4×Dic47 | — | 2 | 2 | no | — |
| 277 | C4×Dic47 | — | 2 | 2 | no | — |
| 278 | #10625329 | — | 4 | 2 | no | — |
| 279 | C2×C47⋊C8 | — | 4 | 2 | no | — |
| 280 | C2×C47⋊C8 | C24 | 1 | 4 | yes | — |
| 281 | C2×C47⋊C8 | C24 | 1 | 4 | yes | — |
| 282 | C23×C47 | C22×D4 | 1 | 1 | yes | characteristic |
| 283 | C23×C47 | C22×D4 | 1 | 1 | yes | characteristic |
| 284 | C23×C47 | C22×D4 | 1 | 1 | yes | characteristic |
| 285 | C22×D47 | — | 2 | 2 | no | — |
| 286 | Q8×C47 | — | 2 | 4 | no | — |
| 287 | Q8×C47 | — | 2 | 4 | no | — |
| 288 | Q8×C47 | — | 4 | 1 | no | — |
| 289 | Q8×C47 | — | 4 | 4 | no | — |
| 290 | Q8×C47 | — | 4 | 4 | no | — |
| 291 | D4×C47 | — | 4 | 1 | no | — |
| 292 | D4×C47 | — | 4 | 1 | no | — |
| 293 | D4×C47 | — | 4 | 1 | no | — |
| 294 | C2×C4×C47 | — | 2 | 2 | no | — |
| 295 | C2×C4×C47 | — | 2 | 2 | no | — |
| 296 | C2×C4×C47 | — | 2 | 2 | no | — |
| 297 | C2×C4×C47 | — | 2 | 4 | no | — |
| 298 | C2×C4×C47 | — | 2 | 4 | no | — |
| 299 | C2×C4×C47 | — | 4 | 2 | no | — |
| 300 | C2×C4×C47 | — | 4 | 2 | no | — |
| 301 | C2×C4×C47 | — | 4 | 2 | no | — |
| 302 | C2×C4×C47 | — | 4 | 4 | no | — |
| 303 | C2×C4×C47 | C22×D4 | 1 | 2 | yes | — |
| 304 | C2×C4×C47 | C22×D4 | 1 | 2 | yes | — |
| 305 | C2×C4×C47 | C22×D4 | 1 | 2 | yes | — |
| 306 | C2×C4×C47 | C22×D4 | 1 | 1 | yes | characteristic |
| 307 | C2×C4×C47 | C22×D4 | 1 | 2 | yes | — |
| 308 | C2×C4×C47 | C22×D4 | 1 | 1 | yes | characteristic |
| 309 | C2×C4×C47 | C22×D4 | 1 | 1 | yes | characteristic |
| 310 | C2×C4×C47 | C25 | 1 | 1 | yes | characteristic |
| 311 | C22⋊D47 | — | 4 | 4 | no | — |
| 312 | C22⋊D47 | — | 8 | 2 | no | — |
| 313 | C22⋊D47 | — | 8 | 2 | no | — |
| 314 | C2×Dic47 | — | 2 | 2 | no | — |
| 315 | C2×Dic47 | — | 2 | 2 | no | — |
| 316 | C2×Dic47 | — | 2 | 2 | no | — |
| 317 | C2×Dic47 | — | 8 | 2 | no | — |
| 318 | D188 | — | 2 | 4 | no | — |
| 319 | D188 | — | 8 | 2 | no | — |
| 320 | C4×D47 | — | 4 | 4 | no | — |
| 321 | C4×D47 | — | 8 | 2 | no | — |
| 322 | C4×D47 | — | 8 | 2 | no | — |
| 323 | Dic94 | — | 2 | 4 | no | — |
| 324 | C47⋊C8 | — | 2 | 4 | no | — |
| 325 | C47⋊C8 | — | 2 | 4 | no | — |
| 326 | #61020 | — | 47 | 1 | no | maximal, Sylow |
| 327 | C22×C47 | — | 2 | 2 | no | — |
| 328 | C22×C47 | — | 2 | 2 | no | — |
| 329 | C22×C47 | — | 2 | 2 | no | — |
| 330 | C22×C47 | — | 2 | 1 | no | — |
| 331 | C22×C47 | — | 2 | 1 | no | — |
| 332 | C22×C47 | — | 2 | 1 | no | — |
| 333 | C22×C47 | C23×D4 | 1 | 1 | yes | characteristic |
| 334 | C2×D47 | — | 4 | 2 | no | — |
| 335 | C2×D47 | — | 4 | 2 | no | — |
| 336 | C2×D47 | — | 4 | 2 | no | — |
| 337 | C4×C47 | — | 2 | 2 | no | — |
| 338 | C4×C47 | — | 2 | 2 | no | — |
| 339 | C4×C47 | — | 2 | 2 | no | — |
| 340 | C4×C47 | — | 2 | 2 | no | — |
| 341 | C4×C47 | — | 2 | 1 | no | — |
| 342 | C4×C47 | — | 2 | 1 | no | — |
| 343 | C4×C47 | — | 2 | 1 | no | — |
| 344 | C4×C47 | — | 4 | 4 | no | — |
| 345 | C4×C47 | — | 4 | 4 | no | — |
| 346 | C4×C47 | #585 | 1 | 2 | yes | — |
| 347 | Dic47 | — | 4 | 2 | no | — |
| 348 | Dic47 | — | 4 | 2 | no | — |
| 349 | Dic47 | — | 4 | 2 | no | — |
| 350 | #3512 | — | 47 | 1 | no | — |
| 351 | #3509 | D47 | 1 | 1 | yes | characteristic, complemented |
| 352 | #3261 | — | 47 | 2 | no | — |
| 353 | #3260 | — | 47 | 2 | no | — |
| 354 | #3240 | — | 47 | 2 | no | — |
| 355 | #3236 | — | 47 | 2 | no | — |
| 356 | #3218 | — | 47 | 2 | no | — |
| 357 | #3216 | — | 47 | 2 | no | — |
| 358 | #3201 | — | 47 | 4 | no | — |
| 359 | #3181 | — | 47 | 2 | no | — |
| 360 | #3172 | — | 47 | 2 | no | — |
| 361 | #3127 | — | 47 | 2 | no | — |
| 362 | #3126 | — | 47 | 2 | no | — |
| 363 | #3120 | — | 47 | 4 | no | — |
| 364 | #2923 | — | 47 | 1 | no | — |
| 365 | C2×C47 | — | 4 | 1 | no | — |
| 366 | C2×C47 | — | 4 | 1 | no | — |
| 367 | C2×C47 | — | 4 | 1 | no | — |
| 368 | C2×C47 | #3449 | 1 | 1 | yes | characteristic |
| 369 | C2×C47 | #3586 | 1 | 2 | yes | — |
| 370 | D47 | — | 8 | 2 | no | — |
| 371 | #557 | — | 2 | 2 | no | — |
| 372 | #556 | — | 2 | 2 | no | — |
| 373 | #553 | — | 94 | 2 | no | — |
| 374 | #553 | — | 94 | 2 | no | — |
| 375 | #553 | — | 94 | 2 | no | — |
| 376 | #552 | — | 2 | 2 | no | — |
| 377 | #552 | — | 2 | 2 | no | — |
| 378 | #552 | — | 94 | 2 | no | — |
| 379 | #541 | — | 47 | 1 | no | — |
| 380 | #541 | — | 47 | 1 | no | — |
| 381 | #541 | C2×D47 | 1 | 2 | yes | — |
| 382 | #541 | C2×D47 | 1 | 2 | yes | — |
| 383 | #540 | — | 47 | 1 | no | — |
| 384 | #540 | — | 47 | 1 | no | — |
| 385 | #537 | — | 47 | 2 | no | — |
| 386 | #536 | C2×D47 | 1 | 2 | yes | — |
| 387 | #533 | C2×D47 | 1 | 2 | yes | — |
| 388 | #533 | C2×D47 | 1 | 2 | yes | — |
| 389 | #533 | C2×D47 | 1 | 1 | yes | characteristic |
| 390 | #532 | — | 47 | 1 | no | — |
| 391 | C2×C4⋊Q8 | C2×D47 | 1 | 1 | yes | characteristic |
| 392 | #529 | — | 47 | 2 | no | — |
| 393 | #529 | — | 47 | 2 | no | — |
| 394 | C2×#125 | — | 47 | 1 | no | — |
| 395 | #520 | — | 47 | 2 | no | — |
| 396 | #519 | C2×D47 | 1 | 2 | yes | — |
| 397 | C4×#41 | C2×D47 | 1 | 1 | yes | characteristic |
| 398 | #501 | — | 47 | 2 | no | — |
| 399 | #501 | — | 47 | 2 | no | — |
| 400 | #497 | — | 47 | 2 | no | — |
| 401 | #497 | — | 47 | 2 | no | — |
| 402 | #491 | — | 47 | 2 | no | — |
| 403 | #491 | — | 47 | 2 | no | — |
| 404 | #489 | — | 47 | 2 | no | — |
| 405 | #489 | — | 47 | 2 | no | — |
| 406 | #485 | — | 47 | 4 | no | — |
| 407 | #484 | — | 47 | 4 | no | — |
| 408 | #483 | — | 47 | 4 | no | — |
| 409 | #482 | — | 47 | 4 | no | — |
| 410 | #479 | — | 47 | 4 | no | — |
| 411 | #479 | — | 47 | 4 | no | — |
| 412 | #479 | — | 47 | 4 | no | — |
| 413 | #478 | — | 47 | 4 | no | — |
| 414 | #470 | — | 47 | 4 | no | — |
| 415 | #468 | — | 47 | 4 | no | — |
| 416 | #467 | — | 47 | 4 | no | — |
| 417 | #465 | — | 47 | 4 | no | — |
| 418 | #462 | — | 47 | 4 | no | — |
| 419 | #462 | — | 47 | 4 | no | — |
| 420 | #461 | — | 47 | 4 | no | — |
| 421 | #460 | — | 47 | 4 | no | — |
| 422 | #452 | — | 47 | 4 | no | — |
| 423 | #452 | — | 47 | 4 | no | — |
| 424 | #451 | — | 47 | 4 | no | — |
| 425 | #448 | — | 47 | 4 | no | — |
| 426 | #441 | — | 47 | 4 | no | — |
| 427 | #440 | — | 47 | 4 | no | — |
| 428 | C4×Q16 | — | 47 | 4 | no | — |
| 429 | C4×SD16 | — | 47 | 4 | no | — |
| 430 | #433 | — | 47 | 2 | no | — |
| 431 | #433 | — | 47 | 2 | no | — |
| 432 | #432 | — | 47 | 2 | no | — |
| 433 | #432 | — | 47 | 2 | no | — |
| 434 | #424 | — | 47 | 2 | no | — |
| 435 | #408 | — | 47 | 2 | no | — |
| 436 | C4×M16 | — | 47 | 1 | no | — |
| 437 | C2×#97 | — | 47 | 1 | no | — |
| 438 | C47 | #61020 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 439 | C2×#41 | — | 47 | 2 | no | — |
| 440 | C2×#41 | C22×D47 | 1 | 1 | yes | characteristic |
| 441 | C22×Q8 | C22×D47 | 1 | 2 | yes | — |
| 442 | C2×Q16 | — | 47 | 4 | no | — |
| 443 | C2×Q16 | — | 47 | 4 | no | — |
| 444 | C2×SD16 | — | 47 | 4 | no | — |
| 445 | C2×SD16 | — | 47 | 4 | no | — |
| 446 | C2×M16 | — | 47 | 2 | no | — |
| 447 | C22×C8 | — | 47 | 2 | no | — |
| 448 | C4⋊Q8 | — | 2 | 2 | no | — |
| 449 | C4⋊Q8 | — | 2 | 2 | no | — |
| 450 | C4⋊Q8 | — | 47 | 1 | no | — |
| 451 | C4⋊Q8 | C22×D47 | 1 | 2 | yes | — |
| 452 | C4⋊Q8 | C22×D47 | 1 | 2 | yes | — |
| 453 | C4⋊Q8 | C22×D47 | 1 | 2 | yes | — |
| 454 | #127 | — | 47 | 1 | no | — |
| 455 | #126 | — | 2 | 4 | no | — |
| 456 | #126 | — | 2 | 4 | no | — |
| 457 | #126 | — | 94 | 2 | no | — |
| 458 | #126 | — | 94 | 2 | no | — |
| 459 | #126 | — | 94 | 2 | no | — |
| 460 | #126 | — | 94 | 2 | no | — |
| 461 | #125 | — | 2 | 4 | no | — |
| 462 | #125 | — | 2 | 4 | no | — |
| 463 | #125 | — | 2 | 2 | no | — |
| 464 | #125 | — | 2 | 2 | no | — |
| 465 | #125 | — | 47 | 2 | no | — |
| 466 | #125 | — | 47 | 1 | no | — |
| 467 | #125 | — | 47 | 1 | no | — |
| 468 | #125 | — | 94 | 2 | no | — |
| 469 | #125 | — | 94 | 2 | no | — |
| 470 | #125 | — | 94 | 2 | no | — |
| 471 | #125 | C22×D47 | 1 | 2 | yes | — |
| 472 | #124 | — | 2 | 2 | no | — |
| 473 | #124 | — | 47 | 2 | no | — |
| 474 | #123 | — | 2 | 2 | no | — |
| 475 | #123 | — | 2 | 2 | no | — |
| 476 | #123 | — | 94 | 2 | no | — |
| 477 | #123 | — | 94 | 2 | no | — |
| 478 | #123 | — | 94 | 2 | no | — |
| 479 | #123 | — | 94 | 2 | no | — |
| 480 | C22⋊Q8 | — | 2 | 2 | no | — |
| 481 | C22⋊Q8 | — | 2 | 2 | no | — |
| 482 | C22⋊Q8 | — | 2 | 2 | no | — |
| 483 | C22⋊Q8 | — | 47 | 2 | no | — |
| 484 | C22⋊Q8 | — | 47 | 2 | no | — |
| 485 | C22⋊Q8 | — | 94 | 2 | no | — |
| 486 | C22⋊Q8 | C22×D47 | 1 | 4 | yes | — |
| 487 | C22⋊Q8 | C22×D47 | 1 | 4 | yes | — |
| 488 | #121 | — | 47 | 2 | no | — |
| 489 | #121 | — | 47 | 2 | no | — |
| 490 | #121 | — | 94 | 2 | no | — |
| 491 | #121 | — | 94 | 2 | no | — |
| 492 | #121 | — | 94 | 2 | no | — |
| 493 | #121 | — | 94 | 2 | no | — |
| 494 | #121 | — | 94 | 2 | no | — |
| 495 | #121 | — | 94 | 2 | no | — |
| 496 | C4×Q8 | — | 2 | 4 | no | — |
| 497 | C4×Q8 | — | 2 | 2 | no | — |
| 498 | C4×Q8 | — | 2 | 2 | no | — |
| 499 | C4×Q8 | — | 2 | 2 | no | — |
| 500 | C4×Q8 | — | 47 | 2 | no | — |
| 501 | C4×Q8 | — | 47 | 2 | no | — |
| 502 | C4×Q8 | C22⋊D47 | 1 | 2 | yes | — |
| 503 | C4×Q8 | C22×D47 | 1 | 4 | yes | — |
| 504 | C4×Q8 | C22×D47 | 1 | 4 | yes | — |
| 505 | C4×D4 | — | 47 | 2 | no | — |
| 506 | C4×D4 | — | 47 | 2 | no | — |
| 507 | C4×D4 | — | 94 | 2 | no | — |
| 508 | C4×D4 | — | 94 | 2 | no | — |
| 509 | C4×D4 | — | 94 | 2 | no | — |
| 510 | C4×D4 | — | 94 | 2 | no | — |
| 511 | C4×D4 | — | 94 | 2 | no | — |
| 512 | C4×D4 | C22⋊D47 | 1 | 2 | yes | — |
| 513 | C4×D4 | C22⋊D47 | 1 | 2 | yes | — |
| 514 | C4×D4 | C22⋊D47 | 1 | 2 | yes | — |
| 515 | #117 | — | 2 | 2 | no | — |
| 516 | #117 | — | 2 | 2 | no | — |
| 517 | #117 | — | 2 | 4 | no | — |
| 518 | #117 | — | 94 | 2 | no | — |
| 519 | #117 | — | 94 | 2 | no | — |
| 520 | #117 | — | 94 | 2 | no | — |
| 521 | #117 | C22×D47 | 1 | 2 | yes | — |
| 522 | #117 | C22×D47 | 1 | 1 | yes | characteristic |
| 523 | #117 | C22×D47 | 1 | 1 | yes | characteristic |
| 524 | #117 | C22×D47 | 1 | 1 | yes | characteristic |
| 525 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 526 | C2×C4⋊C4 | — | 47 | 2 | no | — |
| 527 | C2×C4⋊C4 | — | 94 | 2 | no | — |
| 528 | C2×C4⋊C4 | — | 94 | 2 | no | — |
| 529 | C2×C42 | C22×D47 | 1 | 1 | yes | characteristic |
| 530 | C2×C42 | C22×D47 | 1 | 1 | yes | characteristic |
| 531 | C2×C42 | C22×D47 | 1 | 1 | yes | characteristic |
| 532 | #107 | — | 47 | 4 | no | — |
| 533 | #107 | — | 47 | 4 | no | — |
| 534 | #106 | — | 47 | 4 | no | — |
| 535 | #106 | — | 47 | 4 | no | — |
| 536 | C4⋊C8 | — | 47 | 4 | no | — |
| 537 | C4⋊C8 | — | 47 | 4 | no | — |
| 538 | #103 | — | 47 | 4 | no | — |
| 539 | #103 | — | 47 | 4 | no | — |
| 540 | #103 | — | 47 | 4 | no | — |
| 541 | #103 | — | 47 | 4 | no | — |
| 542 | #103 | — | 47 | 4 | no | — |
| 543 | #103 | — | 47 | 4 | no | — |
| 544 | #102 | — | 47 | 4 | no | — |
| 545 | #102 | — | 47 | 4 | no | — |
| 546 | C22⋊C8 | — | 47 | 4 | no | — |
| 547 | C22⋊C8 | — | 47 | 4 | no | — |
| 548 | #97 | — | 47 | 2 | no | — |
| 549 | #97 | — | 47 | 2 | no | — |
| 550 | #97 | — | 47 | 2 | no | — |
| 551 | C4×C8 | — | 47 | 2 | no | — |
| 552 | #41 | — | 4 | 2 | no | — |
| 553 | #41 | — | 188 | 4 | no | — |
| 554 | C2×Q8 | — | 2 | 2 | no | — |
| 555 | C2×Q8 | — | 2 | 2 | no | — |
| 556 | C2×Q8 | — | 4 | 4 | no | — |
| 557 | C2×Q8 | — | 47 | 2 | no | — |
| 558 | C2×Q8 | C2×C22⋊D47 | 1 | 1 | yes | characteristic |
| 559 | C2×Q8 | C23×D47 | 1 | 4 | yes | — |
| 560 | C2×D4 | — | 47 | 2 | no | — |
| 561 | C2×D4 | — | 94 | 2 | no | — |
| 562 | C2×D4 | — | 94 | 2 | no | — |
| 563 | C2×D4 | — | 94 | 2 | no | — |
| 564 | C2×D4 | — | 94 | 2 | no | — |
| 565 | C2×D4 | C2×C22⋊D47 | 1 | 1 | yes | characteristic |
| 566 | C2×D4 | C2×C22⋊D47 | 1 | 1 | yes | characteristic |
| 567 | C2×D4 | C2×C22⋊D47 | 1 | 1 | yes | characteristic |
| 568 | C22×C4 | — | 2 | 2 | no | — |
| 569 | C22×C4 | — | 94 | 2 | no | — |
| 570 | C22×C4 | — | 94 | 2 | no | — |
| 571 | C22×C4 | — | 94 | 2 | no | — |
| 572 | C22×C4 | — | 94 | 2 | no | — |
| 573 | C22×C4 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 574 | C22×C4 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 575 | C22×C4 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 576 | C22×C4 | C23×D47 | 1 | 1 | yes | characteristic |
| 577 | C22×C4 | C23×D47 | 1 | 1 | yes | characteristic |
| 578 | C22×C4 | C23×D47 | 1 | 1 | yes | characteristic |
| 579 | Q16 | — | 188 | 4 | no | — |
| 580 | Q16 | — | 188 | 4 | no | — |
| 581 | SD16 | — | 188 | 4 | no | — |
| 582 | SD16 | — | 188 | 4 | no | — |
| 583 | M16 | — | 188 | 2 | no | — |
| 584 | C2×C8 | — | 47 | 4 | no | — |
| 585 | C2×C8 | — | 47 | 4 | no | — |
| 586 | C2×C8 | — | 188 | 2 | no | — |
| 587 | C4⋊C4 | — | 2 | 2 | no | — |
| 588 | C4⋊C4 | — | 2 | 2 | no | — |
| 589 | C4⋊C4 | — | 2 | 4 | no | — |
| 590 | C4⋊C4 | — | 2 | 2 | no | — |
| 591 | C4⋊C4 | — | 2 | 4 | no | — |
| 592 | C4⋊C4 | — | 2 | 4 | no | — |
| 593 | C4⋊C4 | — | 2 | 4 | no | — |
| 594 | C4⋊C4 | — | 2 | 4 | no | — |
| 595 | C4⋊C4 | — | 2 | 4 | no | — |
| 596 | C4⋊C4 | — | 47 | 2 | no | — |
| 597 | C4⋊C4 | — | 47 | 2 | no | — |
| 598 | C4⋊C4 | — | 94 | 2 | no | — |
| 599 | C4⋊C4 | — | 94 | 2 | no | — |
| 600 | C4⋊C4 | — | 94 | 2 | no | — |
| 601 | C4⋊C4 | — | 94 | 2 | no | — |
| 602 | C4⋊C4 | — | 94 | 2 | no | — |
| 603 | C4⋊C4 | — | 94 | 2 | no | — |
| 604 | C4⋊C4 | — | 94 | 2 | no | — |
| 605 | C4⋊C4 | — | 94 | 2 | no | — |
| 606 | C4⋊C4 | — | 94 | 2 | no | — |
| 607 | C4⋊C4 | — | 94 | 2 | no | — |
| 608 | C4⋊C4 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 609 | C4⋊C4 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 610 | C4⋊C4 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 611 | C4⋊C4 | C23×D47 | 1 | 4 | yes | — |
| 612 | C22⋊C4 | — | 2 | 2 | no | — |
| 613 | C22⋊C4 | — | 2 | 4 | no | — |
| 614 | C22⋊C4 | — | 2 | 4 | no | — |
| 615 | C22⋊C4 | — | 94 | 2 | no | — |
| 616 | C22⋊C4 | — | 94 | 2 | no | — |
| 617 | C22⋊C4 | — | 94 | 2 | no | — |
| 618 | C22⋊C4 | — | 94 | 2 | no | — |
| 619 | C22⋊C4 | — | 94 | 2 | no | — |
| 620 | C22⋊C4 | — | 94 | 2 | no | — |
| 621 | C22⋊C4 | — | 94 | 2 | no | — |
| 622 | C22⋊C4 | — | 94 | 2 | no | — |
| 623 | C22⋊C4 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 624 | C22⋊C4 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 625 | C22⋊C4 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 626 | C42 | — | 2 | 4 | no | — |
| 627 | C42 | — | 2 | 4 | no | — |
| 628 | C42 | — | 2 | 2 | no | — |
| 629 | C42 | — | 94 | 2 | no | — |
| 630 | C42 | — | 94 | 2 | no | — |
| 631 | C42 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 632 | C42 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 633 | C42 | C2×C22⋊D47 | 1 | 2 | yes | — |
| 634 | C42 | C23×D47 | 1 | 1 | yes | characteristic |
| 635 | C42 | C23×D47 | 1 | 1 | yes | characteristic |
| 636 | C42 | C23×D47 | 1 | 1 | yes | characteristic |
| 637 | C42 | C23×D47 | 1 | 1 | yes | characteristic |
| 638 | C23 | — | 94 | 2 | no | — |
| 639 | C23 | C22×C22⋊D47 | 1 | 1 | yes | characteristic |
| 640 | C23 | C22×C22⋊D47 | 1 | 1 | yes | characteristic |
| 641 | C23 | C22×C22⋊D47 | 1 | 1 | yes | characteristic |
| 642 | Q8 | — | 2 | 4 | no | — |
| 643 | Q8 | — | 2 | 4 | no | — |
| 644 | Q8 | — | 4 | 1 | no | — |
| 645 | Q8 | — | 4 | 4 | no | — |
| 646 | Q8 | — | 4 | 4 | no | — |
| 647 | Q8 | — | 94 | 4 | no | — |
| 648 | D4 | — | 4 | 1 | no | — |
| 649 | D4 | — | 4 | 1 | no | — |
| 650 | D4 | — | 4 | 1 | no | — |
| 651 | D4 | — | 94 | 4 | no | — |
| 652 | D4 | — | 376 | 2 | no | — |
| 653 | D4 | — | 376 | 2 | no | — |
| 654 | D4 | — | 376 | 2 | no | — |
| 655 | D4 | — | 188 | 4 | no | — |
| 656 | C2×C4 | — | 2 | 2 | no | — |
| 657 | C2×C4 | — | 2 | 2 | no | — |
| 658 | C2×C4 | — | 2 | 2 | no | — |
| 659 | C2×C4 | — | 2 | 4 | no | — |
| 660 | C2×C4 | — | 2 | 4 | no | — |
| 661 | C2×C4 | — | 4 | 2 | no | — |
| 662 | C2×C4 | — | 4 | 2 | no | — |
| 663 | C2×C4 | — | 4 | 2 | no | — |
| 664 | C2×C4 | — | 4 | 4 | no | — |
| 665 | C2×C4 | — | 94 | 2 | no | — |
| 666 | C2×C4 | — | 94 | 2 | no | — |
| 667 | C2×C4 | — | 94 | 2 | no | — |
| 668 | C2×C4 | — | 376 | 2 | no | — |
| 669 | C2×C4 | — | 376 | 2 | no | — |
| 670 | C2×C4 | — | 376 | 2 | no | — |
| 671 | C2×C4 | — | 188 | 4 | no | — |
| 672 | C2×C4 | C22×C22⋊D47 | 1 | 2 | yes | — |
| 673 | C2×C4 | C22×C22⋊D47 | 1 | 1 | yes | characteristic |
| 674 | C2×C4 | C22×C22⋊D47 | 1 | 2 | yes | — |
| 675 | C2×C4 | C22×C22⋊D47 | 1 | 2 | yes | — |
| 676 | C2×C4 | C22×C22⋊D47 | 1 | 2 | yes | — |
| 677 | C2×C4 | C22×C22⋊D47 | 1 | 1 | yes | characteristic |
| 678 | C2×C4 | C22×C22⋊D47 | 1 | 1 | yes | characteristic |
| 679 | C2×C4 | C24×D47 | 1 | 1 | yes | characteristic |
| 680 | C8 | — | 94 | 4 | no | — |
| 681 | C8 | — | 94 | 4 | no | — |
| 682 | C22 | — | 2 | 2 | no | — |
| 683 | C22 | — | 2 | 2 | no | — |
| 684 | C22 | — | 2 | 2 | no | — |
| 685 | C22 | — | 2 | 1 | no | — |
| 686 | C22 | — | 2 | 1 | no | — |
| 687 | C22 | — | 2 | 1 | no | — |
| 688 | C22 | — | 188 | 2 | no | — |
| 689 | C22 | — | 188 | 2 | no | — |
| 690 | C22 | — | 188 | 2 | no | — |
| 691 | C22 | C23×C22⋊D47 | 1 | 1 | yes | characteristic |
| 692 | C4 | — | 2 | 2 | no | — |
| 693 | C4 | — | 2 | 2 | no | — |
| 694 | C4 | — | 2 | 2 | no | — |
| 695 | C4 | — | 2 | 2 | no | — |
| 696 | C4 | — | 2 | 1 | no | — |
| 697 | C4 | — | 2 | 1 | no | — |
| 698 | C4 | — | 2 | 1 | no | — |
| 699 | C4 | — | 4 | 4 | no | — |
| 700 | C4 | — | 4 | 4 | no | — |
| 701 | C4 | — | 188 | 2 | no | — |
| 702 | C4 | — | 188 | 2 | no | — |
| 703 | C4 | — | 188 | 2 | no | — |
| 704 | C4 | #15689959 | 1 | 2 | yes | — |
| 705 | C2 | — | 4 | 1 | no | — |
| 706 | C2 | — | 4 | 1 | no | — |
| 707 | C2 | — | 4 | 1 | no | — |
| 708 | C2 | — | 376 | 2 | no | — |
| 709 | C2 | #20256717 | 1 | 1 | yes | characteristic |
| 710 | C2 | #20258175 | 1 | 2 | yes | — |
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