Finite Group DatabasebetaFinite Group DatabasebetaOrder 4608.
1127 conjugacy classes of subgroups.
The subgroup lattice has 726 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72222550 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | D3×#7389 | — | 3 | 2 | no | maximal |
| 3 | #72222526 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C3×#10682654 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72222480 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3⋊D3×#1368 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11899513 | C4 | 1 | 1 | yes | characteristic |
| 8 | #11861009 | — | 2 | 1 | no | — |
| 9 | #11800468 | — | 2 | 1 | no | — |
| 10 | #11797893 | C4 | 1 | 2 | yes | — |
| 11 | #11797891 | — | 2 | 1 | no | — |
| 12 | #11797889 | — | 2 | 1 | no | — |
| 13 | C3×#69085 | C22 | 1 | 2 | yes | — |
| 14 | #11797257 | C4 | 1 | 1 | yes | characteristic |
| 15 | #11796774 | — | 2 | 1 | no | — |
| 16 | C3⋊D3×#346 | C22 | 1 | 1 | yes | characteristic |
| 17 | C3⋊D3×#334 | — | 2 | 1 | no | — |
| 18 | #11772681 | — | 2 | 1 | no | — |
| 19 | C3×#67519 | C22 | 1 | 2 | yes | complemented |
| 20 | #11772179 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #11772176 | — | 2 | 1 | no | — |
| 22 | C32×#1368 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | D3×#2179 | — | 3 | 2 | no | — |
| 24 | D3×#1398 | — | 3 | 2 | no | — |
| 25 | D3×#1368 | — | 3 | 2 | no | — |
| 26 | D3×#1368 | — | 6 | 1 | no | — |
| 27 | #10682656 | — | 3 | 2 | no | — |
| 28 | #10682655 | — | 3 | 2 | no | — |
| 29 | #10682654 | D3 | 1 | 2 | yes | complemented |
| 30 | C3×#7389 | — | 3 | 2 | no | — |
| 31 | #10594684 | — | 2 | 1 | no | — |
| 32 | #10594669 | — | 4 | 1 | no | — |
| 33 | C2×C16×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 34 | C2×C16×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 35 | C3⋊D3×C4⋊C8 | — | 4 | 1 | no | — |
| 36 | C4×C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 37 | C3×#4904 | C2×C4 | 1 | 2 | yes | — |
| 38 | C3×#4700 | — | 2 | 2 | no | — |
| 39 | #10590921 | — | 4 | 1 | no | — |
| 40 | #10590919 | — | 2 | 2 | no | — |
| 41 | #10590913 | — | 2 | 1 | no | — |
| 42 | #10590629 | — | 2 | 1 | no | — |
| 43 | #10590393 | — | 4 | 1 | no | — |
| 44 | #10590389 | — | 4 | 1 | no | — |
| 45 | #10590245 | — | 2 | 1 | no | — |
| 46 | #10590244 | C8 | 1 | 2 | yes | complemented |
| 47 | #10590240 | C8 | 1 | 1 | yes | characteristic, complemented |
| 48 | #10590235 | — | 2 | 1 | no | — |
| 49 | #10590234 | C8 | 1 | 1 | yes | characteristic, complemented |
| 50 | C32×#346 | C23 | 1 | 1 | yes | characteristic |
| 51 | C32×#334 | — | 2 | 1 | no | — |
| 52 | #10589368 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | #10589368 | D4 | 1 | 1 | yes | characteristic |
| 54 | #10589346 | — | 4 | 1 | no | — |
| 55 | #10589327 | D4 | 1 | 1 | yes | characteristic |
| 56 | #10589323 | — | 2 | 1 | no | — |
| 57 | C3×#4510 | — | 2 | 2 | no | — |
| 58 | C3×#4506 | C2×C4 | 1 | 2 | yes | — |
| 59 | C3×#4499 | — | 2 | 2 | no | — |
| 60 | #10589144 | — | 2 | 1 | no | — |
| 61 | #10589120 | — | 2 | 2 | no | — |
| 62 | #10589069 | — | 2 | 2 | no | — |
| 63 | #10589067 | — | 2 | 2 | no | — |
| 64 | C2×#7389 | — | 9 | 1 | no | Sylow |
| 65 | D3×#508 | — | 3 | 2 | no | — |
| 66 | D3×#443 | — | 6 | 2 | no | — |
| 67 | C3×#2179 | — | 3 | 2 | no | — |
| 68 | #71512 | — | 3 | 2 | no | — |
| 69 | #70922 | — | 6 | 2 | no | — |
| 70 | D3×M64 | — | 6 | 2 | no | — |
| 71 | D3×#368 | — | 3 | 2 | no | — |
| 72 | #69358 | — | 3 | 2 | no | — |
| 73 | D3×#359 | — | 6 | 2 | no | — |
| 74 | #69239 | — | 6 | 2 | no | — |
| 75 | #69085 | C2×D3 | 1 | 2 | yes | — |
| 76 | D3×#346 | — | 3 | 2 | no | — |
| 77 | D3×#346 | — | 6 | 1 | no | — |
| 78 | D3×#334 | — | 6 | 2 | no | — |
| 79 | D3×#334 | — | 6 | 2 | no | — |
| 80 | C3×#1398 | — | 3 | 2 | no | — |
| 81 | C3×#1368 | — | 2 | 1 | no | — |
| 82 | C3×#1368 | C2×D3 | 1 | 2 | yes | complemented |
| 83 | #67600 | — | 6 | 2 | no | — |
| 84 | #67519 | C2×D3 | 1 | 2 | yes | complemented |
| 85 | #67513 | — | 3 | 2 | no | — |
| 86 | #67513 | — | 6 | 1 | no | — |
| 87 | #67464 | — | 6 | 2 | no | — |
| 88 | #67464 | — | 6 | 2 | no | — |
| 89 | #64306 | — | 4 | 1 | no | — |
| 90 | C2×C8×C3⋊D3 | — | 8 | 1 | no | — |
| 91 | C2×C8×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 92 | C2×C8×C3⋊D3 | SD16 | 1 | 1 | yes | characteristic |
| 93 | C42×C3⋊D3 | D8 | 1 | 1 | yes | characteristic |
| 94 | C3×#904 | — | 2 | 2 | no | — |
| 95 | C3×#901 | — | 4 | 2 | no | — |
| 96 | #63822 | — | 4 | 1 | no | — |
| 97 | #63818 | — | 4 | 1 | no | — |
| 98 | #63815 | — | 4 | 2 | no | — |
| 99 | #63810 | — | 2 | 2 | no | — |
| 100 | #63809 | — | 4 | 1 | no | — |
| 101 | #63805 | — | 8 | 1 | no | — |
| 102 | #63803 | — | 8 | 1 | no | — |
| 103 | #63802 | — | 2 | 1 | no | — |
| 104 | #63797 | — | 2 | 1 | no | — |
| 105 | #63796 | — | 4 | 1 | no | — |
| 106 | #63791 | — | 8 | 1 | no | — |
| 107 | D32×C8 | — | 8 | 1 | no | — |
| 108 | C2×C32×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 109 | C2×C32×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 110 | C32×C4⋊C8 | — | 4 | 1 | no | — |
| 111 | C32×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | #63641 | — | 8 | 1 | no | — |
| 113 | C8×C3⋊Dic3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 114 | C8×C3⋊Dic3 | SD16 | 1 | 1 | yes | characteristic |
| 115 | C2×C3⋊(C3⋊C16) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 116 | C2×C3⋊(C3⋊C16) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 117 | C4⋊(C3⋊(C3⋊C8)) | — | 4 | 1 | no | — |
| 118 | C4×C3⋊(C3⋊C8) | D8 | 1 | 1 | yes | characteristic |
| 119 | C16×C3⋊D3 | — | 2 | 1 | no | — |
| 120 | C16×C3⋊D3 | — | 2 | 1 | no | — |
| 121 | C16×C3⋊D3 | C2×C8 | 1 | 1 | yes | characteristic |
| 122 | C16×C3⋊D3 | C2×C8 | 1 | 1 | yes | characteristic |
| 123 | C16×C3⋊D3 | M16 | 1 | 1 | yes | characteristic |
| 124 | C16×C3⋊D3 | M16 | 1 | 1 | yes | characteristic |
| 125 | C3×#819 | — | 2 | 2 | no | — |
| 126 | C3×#805 | — | 4 | 2 | no | — |
| 127 | C3×Dic24 | C2×C8 | 1 | 2 | yes | complemented |
| 128 | C3×#800 | — | 2 | 2 | no | — |
| 129 | C3×D48 | C2×C8 | 1 | 2 | yes | complemented |
| 130 | #63578 | — | 4 | 1 | no | — |
| 131 | #63568 | — | 4 | 2 | no | — |
| 132 | #63550 | — | 2 | 1 | no | — |
| 133 | #63547 | — | 2 | 2 | no | — |
| 134 | #63545 | — | 2 | 1 | no | — |
| 135 | C3×C3⋊C32 | — | 2 | 4 | no | — |
| 136 | C2×#2179 | — | 9 | 1 | no | — |
| 137 | C2×#1398 | — | 9 | 1 | no | — |
| 138 | C2×#1368 | — | 9 | 1 | no | — |
| 139 | #7389 | — | 3 | 2 | no | — |
| 140 | #7389 | — | 9 | 2 | no | — |
| 141 | D3×#135 | — | 6 | 2 | no | — |
| 142 | D3×#131 | — | 12 | 2 | no | — |
| 143 | C3×#508 | — | 3 | 2 | no | — |
| 144 | C3×#443 | — | 6 | 2 | no | — |
| 145 | #5196 | — | 6 | 2 | no | — |
| 146 | #5194 | — | 6 | 2 | no | — |
| 147 | #5144 | — | 12 | 2 | no | — |
| 148 | #4919 | — | 3 | 2 | no | — |
| 149 | D3×Q32 | — | 3 | 2 | no | — |
| 150 | #4916 | — | 6 | 2 | no | — |
| 151 | D3×SD32 | — | 6 | 2 | no | — |
| 152 | #4912 | — | 3 | 2 | no | — |
| 153 | D3×D16 | — | 3 | 2 | no | — |
| 154 | #4904 | C4×D3 | 1 | 2 | yes | — |
| 155 | C2×D3×C16 | — | 3 | 2 | no | — |
| 156 | C2×D3×C16 | — | 3 | 2 | no | — |
| 157 | C2×D3×C16 | — | 6 | 1 | no | — |
| 158 | C2×D3×C16 | — | 6 | 1 | no | — |
| 159 | #4895 | — | 6 | 2 | no | — |
| 160 | D3×#108 | — | 6 | 2 | no | — |
| 161 | D3×C4⋊C8 | — | 12 | 2 | no | — |
| 162 | D3×C4⋊C8 | — | 12 | 2 | no | — |
| 163 | #4824 | — | 12 | 2 | no | — |
| 164 | D3×#104 | — | 12 | 2 | no | — |
| 165 | #4700 | — | 2 | 2 | no | — |
| 166 | C4×D3×C8 | — | 3 | 2 | no | — |
| 167 | C4×D3×C8 | — | 6 | 1 | no | — |
| 168 | C3×M64 | — | 6 | 2 | no | — |
| 169 | C3×#368 | — | 3 | 2 | no | — |
| 170 | C3×#359 | — | 6 | 2 | no | — |
| 171 | C3×#346 | — | 2 | 1 | no | — |
| 172 | C3×#346 | C22×D3 | 1 | 2 | yes | — |
| 173 | C3×#334 | — | 2 | 2 | no | — |
| 174 | C3×#334 | — | 2 | 2 | no | — |
| 175 | #4567 | — | 6 | 2 | no | — |
| 176 | #4510 | — | 2 | 2 | no | — |
| 177 | #4506 | C4×D3 | 1 | 2 | yes | — |
| 178 | #4502 | — | 3 | 2 | no | — |
| 179 | #4502 | — | 3 | 2 | no | — |
| 180 | #4502 | — | 6 | 1 | no | — |
| 181 | #4502 | — | 6 | 1 | no | — |
| 182 | #4499 | — | 2 | 2 | no | — |
| 183 | #4497 | — | 6 | 2 | no | — |
| 184 | #4493 | — | 6 | 2 | no | — |
| 185 | #4480 | — | 12 | 2 | no | — |
| 186 | #4480 | — | 12 | 2 | no | — |
| 187 | #4461 | — | 3 | 2 | no | — |
| 188 | #4461 | — | 6 | 1 | no | — |
| 189 | #4457 | — | 6 | 2 | no | — |
| 190 | #4457 | — | 6 | 2 | no | — |
| 191 | #4447 | — | 6 | 4 | no | — |
| 192 | D3×C32 | — | 6 | 4 | no | — |
| 193 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 194 | C2×C4×C3⋊D3 | #102 | 1 | 1 | yes | characteristic |
| 195 | C3×#235 | — | 4 | 2 | no | — |
| 196 | #3811 | — | 8 | 1 | no | — |
| 197 | #3805 | — | 8 | 1 | no | — |
| 198 | #3802 | — | 4 | 1 | no | — |
| 199 | C4×D32 | — | 8 | 1 | no | — |
| 200 | #3798 | — | 8 | 1 | no | — |
| 201 | #3797 | — | 4 | 1 | no | — |
| 202 | #3796 | — | 4 | 2 | no | — |
| 203 | C2×C32×C8 | — | 8 | 1 | no | — |
| 204 | C2×C32×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 205 | C2×C32×C8 | C2×SD16 | 1 | 1 | yes | characteristic |
| 206 | C32×C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 207 | C4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 208 | C4×C3⋊Dic3 | #102 | 1 | 1 | yes | characteristic |
| 209 | C2×C3⋊(C3⋊C8) | — | 8 | 1 | no | — |
| 210 | C2×C3⋊(C3⋊C8) | #102 | 1 | 1 | yes | characteristic |
| 211 | C2×C3⋊(C3⋊C8) | #102 | 1 | 1 | yes | characteristic |
| 212 | C8×C3⋊D3 | — | 2 | 1 | no | — |
| 213 | C8×C3⋊D3 | — | 2 | 1 | no | — |
| 214 | C8×C3⋊D3 | — | 16 | 2 | no | — |
| 215 | C8×C3⋊D3 | C22⋊C8 | 1 | 1 | yes | characteristic |
| 216 | C8×C3⋊D3 | C22⋊C8 | 1 | 1 | yes | characteristic |
| 217 | C8×C3⋊D3 | #104 | 1 | 1 | yes | characteristic |
| 218 | C8×C3⋊D3 | #104 | 1 | 1 | yes | characteristic |
| 219 | C3×#208 | — | 4 | 2 | no | — |
| 220 | C3×Dic12 | — | 2 | 2 | no | — |
| 221 | C3×D24 | — | 2 | 2 | no | — |
| 222 | C3×#204 | — | 4 | 2 | no | — |
| 223 | C3×ΓL(1,𝔽25) | — | 8 | 2 | no | — |
| 224 | C3×D3×C8 | — | 8 | 2 | no | — |
| 225 | #3718 | — | 4 | 1 | no | — |
| 226 | #3715 | — | 4 | 2 | no | — |
| 227 | #3713 | — | 4 | 1 | no | — |
| 228 | #3712 | — | 8 | 1 | no | — |
| 229 | #3711 | — | 8 | 2 | no | — |
| 230 | #3710 | — | 8 | 1 | no | — |
| 231 | D3×C3⋊C8 | — | 8 | 2 | no | — |
| 232 | C32×C16 | — | 2 | 1 | no | — |
| 233 | C32×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 234 | C32×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 235 | C3⋊(C3⋊C16) | — | 2 | 1 | no | — |
| 236 | C3⋊(C3⋊C16) | C22⋊C8 | 1 | 1 | yes | characteristic |
| 237 | C3⋊(C3⋊C16) | C22⋊C8 | 1 | 1 | yes | characteristic |
| 238 | C2×#508 | — | 9 | 1 | no | — |
| 239 | C2×#443 | — | 18 | 1 | no | — |
| 240 | C2×M64 | — | 18 | 1 | no | — |
| 241 | #2179 | — | 3 | 2 | no | — |
| 242 | #2179 | — | 9 | 2 | no | — |
| 243 | #2179 | — | 18 | 1 | no | — |
| 244 | #2179 | — | 18 | 1 | no | — |
| 245 | C2×#368 | — | 9 | 1 | no | — |
| 246 | C2×#359 | — | 18 | 1 | no | — |
| 247 | C2×#346 | — | 9 | 1 | no | — |
| 248 | C2×#334 | — | 18 | 1 | no | — |
| 249 | #1398 | — | 3 | 2 | no | — |
| 250 | #1398 | — | 18 | 1 | no | — |
| 251 | #1368 | — | 9 | 1 | no | — |
| 252 | #1368 | — | 18 | 1 | no | — |
| 253 | #1368 | D32 | 1 | 1 | yes | characteristic, complemented |
| 254 | D3×#41 | — | 12 | 2 | no | — |
| 255 | C3×#135 | — | 6 | 2 | no | — |
| 256 | C3×#131 | — | 12 | 2 | no | — |
| 257 | #950 | — | 12 | 2 | no | — |
| 258 | #948 | — | 12 | 2 | no | — |
| 259 | #919 | — | 6 | 2 | no | — |
| 260 | D3×Q16 | — | 6 | 2 | no | — |
| 261 | #916 | — | 12 | 2 | no | — |
| 262 | D3×SD16 | — | 12 | 2 | no | — |
| 263 | #912 | — | 6 | 2 | no | — |
| 264 | D3×D8 | — | 6 | 2 | no | — |
| 265 | #907 | — | 12 | 2 | no | — |
| 266 | #907 | — | 24 | 2 | no | — |
| 267 | D3×M16 | — | 12 | 2 | no | — |
| 268 | D3×M16 | — | 24 | 2 | no | — |
| 269 | #904 | — | 2 | 2 | no | — |
| 270 | #901 | — | 4 | 2 | no | — |
| 271 | #901 | — | 24 | 2 | no | — |
| 272 | C2×D3×C8 | — | 3 | 2 | no | — |
| 273 | C2×D3×C8 | — | 3 | 2 | no | — |
| 274 | C2×D3×C8 | — | 6 | 1 | no | — |
| 275 | C2×D3×C8 | — | 6 | 1 | no | — |
| 276 | C2×D3×C8 | — | 24 | 2 | no | — |
| 277 | C2×D3×C8 | — | 24 | 2 | no | — |
| 278 | C2×D3×C8 | — | 24 | 2 | no | — |
| 279 | C42×D3 | — | 3 | 2 | no | — |
| 280 | C42×D3 | — | 6 | 1 | no | — |
| 281 | C3×Q32 | — | 3 | 2 | no | — |
| 282 | C3×SD32 | — | 6 | 2 | no | — |
| 283 | C3×D16 | — | 3 | 2 | no | — |
| 284 | C2×C3×C16 | — | 2 | 1 | no | — |
| 285 | C2×C3×C16 | — | 2 | 1 | no | — |
| 286 | C2×C3×C16 | C2×C4×D3 | 1 | 2 | yes | — |
| 287 | C2×C3×C16 | D3×D4 | 1 | 2 | yes | — |
| 288 | C3×#108 | — | 6 | 2 | no | — |
| 289 | C3×C4⋊C8 | — | 4 | 2 | no | — |
| 290 | C3×C4⋊C8 | — | 4 | 2 | no | — |
| 291 | C3×#104 | — | 12 | 2 | no | — |
| 292 | C3×C4×C8 | — | 2 | 1 | no | — |
| 293 | C3×C4×C8 | D3×D4 | 1 | 2 | yes | — |
| 294 | #837 | — | 12 | 2 | no | — |
| 295 | #829 | — | 6 | 2 | no | — |
| 296 | #828 | — | 6 | 2 | no | — |
| 297 | #827 | — | 6 | 2 | no | — |
| 298 | #826 | — | 6 | 2 | no | — |
| 299 | #825 | — | 12 | 2 | no | — |
| 300 | #822 | — | 12 | 2 | no | — |
| 301 | #819 | — | 2 | 2 | no | — |
| 302 | Dic3⋊C8 | — | 24 | 2 | no | — |
| 303 | Dic3⋊C8 | — | 24 | 2 | no | — |
| 304 | C8×Dic3 | — | 3 | 2 | no | — |
| 305 | C8×Dic3 | — | 3 | 2 | no | — |
| 306 | C8×Dic3 | — | 6 | 1 | no | — |
| 307 | C8×Dic3 | — | 6 | 1 | no | — |
| 308 | C2×C3⋊C16 | — | 3 | 2 | no | — |
| 309 | C2×C3⋊C16 | — | 3 | 2 | no | — |
| 310 | C2×C3⋊C16 | — | 6 | 1 | no | — |
| 311 | C2×C3⋊C16 | — | 6 | 1 | no | — |
| 312 | #805 | — | 4 | 2 | no | — |
| 313 | C4⋊(C3⋊C8) | — | 12 | 2 | no | — |
| 314 | C4⋊(C3⋊C8) | — | 12 | 2 | no | — |
| 315 | C4×C3⋊C8 | — | 3 | 2 | no | — |
| 316 | C4×C3⋊C8 | — | 6 | 1 | no | — |
| 317 | Dic24 | D3×C8 | 1 | 2 | yes | complemented |
| 318 | #800 | — | 2 | 2 | no | — |
| 319 | D48 | D3×C8 | 1 | 2 | yes | complemented |
| 320 | D3×C16 | — | 3 | 2 | no | — |
| 321 | D3×C16 | — | 3 | 2 | no | — |
| 322 | D3×C16 | — | 3 | 2 | no | — |
| 323 | D3×C16 | — | 3 | 2 | no | — |
| 324 | D3×C16 | — | 6 | 1 | no | — |
| 325 | D3×C16 | — | 6 | 1 | no | — |
| 326 | D3×C16 | — | 6 | 1 | no | — |
| 327 | D3×C16 | — | 6 | 1 | no | — |
| 328 | D3×C16 | — | 6 | 2 | no | — |
| 329 | D3×C16 | — | 6 | 2 | no | — |
| 330 | D3×C16 | — | 12 | 1 | no | — |
| 331 | D3×C16 | — | 12 | 1 | no | — |
| 332 | C3×C32 | — | 6 | 4 | no | — |
| 333 | C3⋊C32 | — | 2 | 4 | no | — |
| 334 | C22×C3⋊D3 | #360 | 1 | 1 | yes | characteristic |
| 335 | C2×D32 | — | 8 | 1 | no | — |
| 336 | C2×C32×C4 | — | 2 | 1 | no | — |
| 337 | C2×C32×C4 | C2×#102 | 1 | 1 | yes | characteristic |
| 338 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 339 | C2×C3⋊Dic3 | #360 | 1 | 1 | yes | characteristic |
| 340 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 341 | C4×C3⋊D3 | D4⋊C8 | 1 | 1 | yes | characteristic |
| 342 | C4×C3⋊D3 | D4⋊C8 | 1 | 1 | yes | characteristic |
| 343 | C4×C3⋊D3 | #361 | 1 | 1 | yes | characteristic |
| 344 | C4×C3⋊D3 | #361 | 1 | 1 | yes | characteristic |
| 345 | C3×#67 | — | 8 | 2 | no | — |
| 346 | C3×D12 | — | 4 | 2 | no | — |
| 347 | C3×C4×D3 | — | 8 | 2 | no | — |
| 348 | C3×Dic6 | — | 4 | 2 | no | — |
| 349 | #627 | — | 8 | 1 | no | — |
| 350 | #626 | — | 8 | 2 | no | — |
| 351 | #625 | — | 8 | 1 | no | — |
| 352 | #624 | — | 8 | 1 | no | — |
| 353 | D3×Dic3 | — | 8 | 2 | no | — |
| 354 | C32×C8 | — | 2 | 1 | no | — |
| 355 | C32×C8 | — | 16 | 1 | no | — |
| 356 | C32×C8 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 357 | C32×C8 | C2×#104 | 1 | 1 | yes | characteristic |
| 358 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 359 | C3⋊(C3⋊C8) | — | 16 | 1 | no | — |
| 360 | C3⋊(C3⋊C8) | D4⋊C8 | 1 | 1 | yes | characteristic |
| 361 | C3⋊(C3⋊C8) | D4⋊C8 | 1 | 1 | yes | characteristic |
| 362 | C3×C3⋊C8 | — | 8 | 2 | no | — |
| 363 | C2×#135 | — | 18 | 1 | no | — |
| 364 | C2×#131 | — | 36 | 1 | no | — |
| 365 | #508 | — | 3 | 2 | no | — |
| 366 | #508 | — | 9 | 2 | no | — |
| 367 | #508 | — | 18 | 1 | no | — |
| 368 | #508 | — | 18 | 1 | no | — |
| 369 | C2×Q32 | — | 9 | 1 | no | — |
| 370 | C2×SD32 | — | 18 | 1 | no | — |
| 371 | C2×D16 | — | 9 | 1 | no | — |
| 372 | C22×C16 | — | 9 | 1 | no | — |
| 373 | C22×C16 | — | 9 | 1 | no | — |
| 374 | #443 | — | 6 | 2 | no | — |
| 375 | #443 | — | 18 | 2 | no | — |
| 376 | #443 | — | 36 | 1 | no | — |
| 377 | #443 | — | 36 | 1 | no | — |
| 378 | C2×#108 | — | 18 | 1 | no | — |
| 379 | C2×C4⋊C8 | — | 36 | 1 | no | — |
| 380 | C2×#104 | — | 36 | 1 | no | — |
| 381 | C2×C4×C8 | — | 9 | 1 | no | — |
| 382 | M64 | — | 6 | 2 | no | — |
| 383 | M64 | — | 18 | 2 | no | — |
| 384 | C2×C32 | — | 18 | 2 | no | — |
| 385 | #368 | — | 3 | 2 | no | — |
| 386 | #368 | — | 18 | 1 | no | — |
| 387 | #359 | — | 6 | 2 | no | — |
| 388 | #359 | — | 18 | 2 | no | — |
| 389 | #346 | — | 9 | 1 | no | — |
| 390 | #346 | — | 9 | 1 | no | — |
| 391 | #346 | — | 9 | 1 | no | — |
| 392 | #346 | C2×D32 | 1 | 1 | yes | characteristic |
| 393 | #334 | — | 2 | 1 | no | — |
| 394 | #334 | — | 18 | 1 | no | — |
| 395 | #334 | — | 36 | 1 | no | — |
| 396 | C3×#41 | — | 12 | 2 | no | — |
| 397 | #239 | — | 12 | 2 | no | — |
| 398 | D3×Q8 | — | 12 | 2 | no | — |
| 399 | #237 | — | 12 | 2 | no | — |
| 400 | #237 | — | 24 | 2 | no | — |
| 401 | D3×D4 | — | 12 | 2 | no | — |
| 402 | D3×D4 | — | 24 | 2 | no | — |
| 403 | #235 | — | 4 | 2 | no | — |
| 404 | #235 | — | 24 | 2 | no | — |
| 405 | C2×C4×D3 | — | 3 | 2 | no | — |
| 406 | C2×C4×D3 | — | 6 | 1 | no | — |
| 407 | C2×C4×D3 | — | 6 | 2 | no | — |
| 408 | C2×C4×D3 | — | 6 | 2 | no | — |
| 409 | C2×C4×D3 | — | 24 | 2 | no | — |
| 410 | C3×Q16 | — | 6 | 2 | no | — |
| 411 | C3×SD16 | — | 12 | 2 | no | — |
| 412 | C3×D8 | — | 6 | 2 | no | — |
| 413 | C3×M16 | — | 12 | 2 | no | — |
| 414 | C3×M16 | — | 24 | 2 | no | — |
| 415 | C2×C3×C8 | — | 2 | 1 | no | — |
| 416 | C2×C3×C8 | — | 2 | 1 | no | — |
| 417 | C2×C3×C8 | — | 8 | 2 | no | — |
| 418 | C2×C3×C8 | — | 8 | 2 | no | — |
| 419 | C2×C3×C8 | — | 24 | 2 | no | — |
| 420 | C2×C3×C8 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 421 | C2×C3×C8 | D3×SD16 | 1 | 2 | yes | — |
| 422 | C3×C42 | — | 2 | 1 | no | — |
| 423 | C3×C42 | D3×D8 | 1 | 2 | yes | — |
| 424 | #216 | — | 12 | 2 | no | — |
| 425 | #215 | — | 12 | 2 | no | — |
| 426 | #214 | — | 12 | 2 | no | — |
| 427 | #213 | — | 12 | 2 | no | — |
| 428 | C4×Dic3 | — | 3 | 2 | no | — |
| 429 | C4×Dic3 | — | 6 | 1 | no | — |
| 430 | C4×Dic3 | — | 6 | 2 | no | — |
| 431 | C4×Dic3 | — | 6 | 2 | no | — |
| 432 | #208 | — | 4 | 2 | no | — |
| 433 | #208 | — | 24 | 2 | no | — |
| 434 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 435 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 436 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 437 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 438 | C2×C3⋊C8 | — | 24 | 2 | no | — |
| 439 | C2×C3⋊C8 | — | 24 | 2 | no | — |
| 440 | C2×C3⋊C8 | — | 24 | 2 | no | — |
| 441 | Dic12 | — | 2 | 2 | no | — |
| 442 | D24 | — | 2 | 2 | no | — |
| 443 | #204 | — | 4 | 2 | no | — |
| 444 | ΓL(1,𝔽25) | — | 8 | 2 | no | — |
| 445 | ΓL(1,𝔽25) | — | 24 | 2 | no | — |
| 446 | ΓL(1,𝔽25) | — | 24 | 2 | no | — |
| 447 | D3×C8 | — | 3 | 2 | no | — |
| 448 | D3×C8 | — | 3 | 2 | no | — |
| 449 | D3×C8 | — | 3 | 2 | no | — |
| 450 | D3×C8 | — | 3 | 2 | no | — |
| 451 | D3×C8 | — | 6 | 1 | no | — |
| 452 | D3×C8 | — | 6 | 1 | no | — |
| 453 | D3×C8 | — | 6 | 1 | no | — |
| 454 | D3×C8 | — | 6 | 1 | no | — |
| 455 | D3×C8 | — | 6 | 2 | no | — |
| 456 | D3×C8 | — | 6 | 2 | no | — |
| 457 | D3×C8 | — | 8 | 2 | no | — |
| 458 | D3×C8 | — | 12 | 1 | no | — |
| 459 | D3×C8 | — | 12 | 1 | no | — |
| 460 | D3×C8 | — | 24 | 2 | no | — |
| 461 | D3×C8 | — | 24 | 2 | no | — |
| 462 | D3×C8 | — | 48 | 4 | no | — |
| 463 | D3×C8 | — | 48 | 4 | no | — |
| 464 | C3×C16 | — | 2 | 2 | no | — |
| 465 | C3×C16 | — | 2 | 1 | no | — |
| 466 | C3×C16 | — | 2 | 1 | no | — |
| 467 | C3×C16 | — | 4 | 1 | no | — |
| 468 | C3×C16 | C2×D3×C8 | 1 | 2 | yes | — |
| 469 | C3×C16 | D3×M16 | 1 | 2 | yes | — |
| 470 | C3⋊C16 | — | 3 | 2 | no | — |
| 471 | C3⋊C16 | — | 3 | 2 | no | — |
| 472 | C3⋊C16 | — | 6 | 1 | no | — |
| 473 | C3⋊C16 | — | 6 | 1 | no | — |
| 474 | C3⋊C16 | — | 6 | 2 | no | — |
| 475 | C3⋊C16 | — | 12 | 1 | no | — |
| 476 | C22×C32 | C2×#360 | 1 | 1 | yes | characteristic |
| 477 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 478 | C2×C3⋊D3 | #1333 | 1 | 1 | yes | characteristic |
| 479 | C2×C3⋊D3 | #1333 | 1 | 1 | yes | characteristic |
| 480 | C2×C3×D3 | — | 8 | 2 | no | — |
| 481 | D32 | — | 16 | 2 | no | — |
| 482 | C32×C4 | — | 4 | 1 | no | — |
| 483 | C32×C4 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 484 | C32×C4 | C2×#361 | 1 | 1 | yes | characteristic |
| 485 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 486 | C3⋊Dic3 | #1333 | 1 | 1 | yes | characteristic |
| 487 | C3⋊Dic3 | #1333 | 1 | 1 | yes | characteristic |
| 488 | C3×Dic3 | — | 8 | 2 | no | — |
| 489 | C2×#41 | — | 36 | 1 | no | — |
| 490 | #135 | — | 6 | 2 | no | — |
| 491 | #135 | — | 18 | 2 | no | — |
| 492 | #135 | — | 36 | 1 | no | — |
| 493 | #135 | — | 36 | 1 | no | — |
| 494 | C2×Q16 | — | 18 | 1 | no | — |
| 495 | C2×SD16 | — | 36 | 1 | no | — |
| 496 | C2×D8 | — | 18 | 1 | no | — |
| 497 | #131 | — | 12 | 2 | no | — |
| 498 | #131 | — | 36 | 2 | no | — |
| 499 | #131 | — | 72 | 1 | no | — |
| 500 | #131 | — | 72 | 1 | no | — |
| 501 | C2×M16 | — | 36 | 1 | no | — |
| 502 | C2×M16 | — | 72 | 1 | no | — |
| 503 | C22×C8 | — | 9 | 1 | no | — |
| 504 | C22×C8 | — | 9 | 1 | no | — |
| 505 | C22×C8 | — | 72 | 1 | no | — |
| 506 | C22×C8 | — | 72 | 1 | no | — |
| 507 | C2×C42 | — | 9 | 1 | no | — |
| 508 | Q32 | — | 3 | 2 | no | — |
| 509 | Q32 | — | 18 | 1 | no | — |
| 510 | SD32 | — | 6 | 2 | no | — |
| 511 | SD32 | — | 18 | 2 | no | — |
| 512 | D16 | — | 3 | 2 | no | — |
| 513 | D16 | — | 18 | 1 | no | — |
| 514 | C2×C16 | — | 9 | 1 | no | — |
| 515 | C2×C16 | — | 9 | 1 | no | — |
| 516 | C2×C16 | — | 9 | 1 | no | — |
| 517 | C2×C16 | — | 9 | 1 | no | — |
| 518 | C2×C16 | — | 9 | 1 | no | — |
| 519 | C2×C16 | — | 9 | 1 | no | — |
| 520 | C2×C16 | — | 18 | 1 | no | — |
| 521 | C2×C16 | — | 18 | 1 | no | — |
| 522 | C2×C16 | C4×D32 | 1 | 1 | yes | characteristic |
| 523 | C2×C16 | #3802 | 1 | 1 | yes | characteristic |
| 524 | #108 | — | 6 | 2 | no | — |
| 525 | #108 | — | 36 | 1 | no | — |
| 526 | C4⋊C8 | — | 4 | 1 | no | — |
| 527 | C4⋊C8 | — | 36 | 1 | no | — |
| 528 | C4⋊C8 | — | 72 | 1 | no | — |
| 529 | #104 | — | 12 | 2 | no | — |
| 530 | #104 | — | 36 | 2 | no | — |
| 531 | C4×C8 | — | 9 | 1 | no | — |
| 532 | C4×C8 | — | 9 | 1 | no | — |
| 533 | C4×C8 | — | 9 | 1 | no | — |
| 534 | C4×C8 | #3811 | 1 | 1 | yes | characteristic |
| 535 | C32 | — | 6 | 4 | no | — |
| 536 | C22×D3 | — | 3 | 2 | no | — |
| 537 | C22×D3 | — | 6 | 1 | no | — |
| 538 | C22×D3 | — | 24 | 2 | no | — |
| 539 | C3×Q8 | — | 12 | 2 | no | — |
| 540 | C3×D4 | — | 12 | 2 | no | — |
| 541 | C3×D4 | — | 24 | 2 | no | — |
| 542 | C2×C3×C4 | — | 2 | 2 | no | — |
| 543 | C2×C3×C4 | — | 2 | 2 | no | — |
| 544 | C2×C3×C4 | — | 2 | 1 | no | — |
| 545 | C2×C3×C4 | — | 24 | 2 | no | — |
| 546 | C2×C3×C4 | D3×#102 | 1 | 2 | yes | — |
| 547 | #67 | — | 8 | 2 | no | — |
| 548 | #67 | — | 24 | 2 | no | — |
| 549 | #67 | — | 24 | 2 | no | — |
| 550 | C2×Dic3 | — | 3 | 2 | no | — |
| 551 | C2×Dic3 | — | 6 | 1 | no | — |
| 552 | C2×Dic3 | — | 6 | 2 | no | — |
| 553 | C2×Dic3 | — | 6 | 2 | no | — |
| 554 | C2×Dic3 | — | 24 | 2 | no | — |
| 555 | D12 | — | 4 | 2 | no | — |
| 556 | D12 | — | 24 | 2 | no | — |
| 557 | C4×D3 | — | 3 | 2 | no | — |
| 558 | C4×D3 | — | 3 | 2 | no | — |
| 559 | C4×D3 | — | 3 | 2 | no | — |
| 560 | C4×D3 | — | 3 | 2 | no | — |
| 561 | C4×D3 | — | 6 | 1 | no | — |
| 562 | C4×D3 | — | 6 | 1 | no | — |
| 563 | C4×D3 | — | 6 | 1 | no | — |
| 564 | C4×D3 | — | 6 | 1 | no | — |
| 565 | C4×D3 | — | 8 | 2 | no | — |
| 566 | C4×D3 | — | 12 | 4 | no | — |
| 567 | C4×D3 | — | 12 | 4 | no | — |
| 568 | C4×D3 | — | 24 | 2 | no | — |
| 569 | C4×D3 | — | 24 | 2 | no | — |
| 570 | Dic6 | — | 4 | 2 | no | — |
| 571 | Dic6 | — | 24 | 2 | no | — |
| 572 | C3×C8 | — | 2 | 2 | no | — |
| 573 | C3×C8 | — | 2 | 1 | no | — |
| 574 | C3×C8 | — | 2 | 1 | no | — |
| 575 | C3×C8 | — | 4 | 1 | no | — |
| 576 | C3×C8 | — | 16 | 2 | no | — |
| 577 | C3×C8 | — | 16 | 2 | no | — |
| 578 | C3×C8 | — | 24 | 2 | no | — |
| 579 | C3×C8 | D3×C22⋊C8 | 1 | 2 | yes | — |
| 580 | C3×C8 | D3×#104 | 1 | 2 | yes | — |
| 581 | C3⋊C8 | — | 3 | 2 | no | — |
| 582 | C3⋊C8 | — | 3 | 2 | no | — |
| 583 | C3⋊C8 | — | 6 | 1 | no | — |
| 584 | C3⋊C8 | — | 6 | 1 | no | — |
| 585 | C3⋊C8 | — | 6 | 2 | no | — |
| 586 | C3⋊C8 | — | 8 | 2 | no | — |
| 587 | C3⋊C8 | — | 12 | 1 | no | — |
| 588 | C3⋊C8 | — | 48 | 2 | no | — |
| 589 | C3⋊C8 | — | 48 | 2 | no | — |
| 590 | C2×C32 | — | 2 | 1 | no | — |
| 591 | C2×C32 | C2×#1333 | 1 | 1 | yes | characteristic |
| 592 | C3⋊D3 | — | 2 | 1 | no | — |
| 593 | C3⋊D3 | #7389 | 1 | 2 | yes | complemented |
| 594 | C3×D3 | — | 16 | 2 | no | — |
| 595 | #41 | — | 12 | 2 | no | — |
| 596 | #41 | — | 36 | 2 | no | — |
| 597 | #41 | — | 72 | 1 | no | — |
| 598 | #41 | — | 72 | 1 | no | — |
| 599 | C2×Q8 | — | 36 | 1 | no | — |
| 600 | C2×D4 | — | 36 | 1 | no | — |
| 601 | C2×D4 | — | 72 | 1 | no | — |
| 602 | C22×C4 | — | 9 | 1 | no | — |
| 603 | C22×C4 | — | 18 | 1 | no | — |
| 604 | C22×C4 | — | 72 | 1 | no | — |
| 605 | Q16 | — | 6 | 2 | no | — |
| 606 | Q16 | — | 36 | 1 | no | — |
| 607 | SD16 | — | 12 | 2 | no | — |
| 608 | SD16 | — | 36 | 2 | no | — |
| 609 | D8 | — | 6 | 2 | no | — |
| 610 | D8 | — | 36 | 1 | no | — |
| 611 | M16 | — | 12 | 2 | no | — |
| 612 | M16 | — | 24 | 2 | no | — |
| 613 | M16 | — | 72 | 2 | no | — |
| 614 | M16 | — | 72 | 1 | no | — |
| 615 | C2×C8 | — | 8 | 1 | no | — |
| 616 | C2×C8 | — | 9 | 1 | no | — |
| 617 | C2×C8 | — | 9 | 1 | no | — |
| 618 | C2×C8 | — | 9 | 1 | no | — |
| 619 | C2×C8 | — | 9 | 1 | no | — |
| 620 | C2×C8 | — | 9 | 1 | no | — |
| 621 | C2×C8 | — | 9 | 1 | no | — |
| 622 | C2×C8 | — | 18 | 1 | no | — |
| 623 | C2×C8 | — | 18 | 1 | no | — |
| 624 | C2×C8 | — | 24 | 2 | no | — |
| 625 | C2×C8 | — | 72 | 2 | no | — |
| 626 | C2×C8 | — | 72 | 1 | no | — |
| 627 | C2×C8 | — | 72 | 1 | no | — |
| 628 | C2×C8 | — | 144 | 2 | no | — |
| 629 | C2×C8 | #63921 | 1 | 1 | yes | characteristic |
| 630 | C2×C8 | #63940 | 1 | 1 | yes | characteristic |
| 631 | C42 | — | 9 | 1 | no | — |
| 632 | C42 | — | 18 | 1 | no | — |
| 633 | C42 | #63926 | 1 | 1 | yes | characteristic |
| 634 | C16 | — | 2 | 1 | no | — |
| 635 | C16 | — | 9 | 1 | no | — |
| 636 | C16 | — | 9 | 1 | no | — |
| 637 | C16 | — | 18 | 1 | no | — |
| 638 | C16 | D32×C8 | 1 | 1 | yes | characteristic |
| 639 | C16 | #63791 | 1 | 1 | yes | characteristic |
| 640 | C22×C3 | — | 2 | 1 | no | — |
| 641 | C22×C3 | — | 24 | 2 | no | — |
| 642 | C22×C3 | D3×#360 | 1 | 2 | yes | — |
| 643 | C2×D3 | — | 3 | 2 | no | — |
| 644 | C2×D3 | — | 3 | 2 | no | — |
| 645 | C2×D3 | — | 6 | 1 | no | — |
| 646 | C2×D3 | — | 6 | 1 | no | — |
| 647 | C2×D3 | — | 6 | 4 | no | — |
| 648 | C2×D3 | — | 6 | 4 | no | — |
| 649 | C2×D3 | — | 8 | 2 | no | — |
| 650 | C2×D3 | — | 48 | 4 | no | — |
| 651 | C3×C4 | — | 2 | 1 | no | — |
| 652 | C3×C4 | — | 2 | 1 | no | — |
| 653 | C3×C4 | — | 4 | 2 | no | — |
| 654 | C3×C4 | — | 4 | 2 | no | — |
| 655 | C3×C4 | — | 24 | 2 | no | — |
| 656 | C3×C4 | D3×D4⋊C8 | 1 | 2 | yes | — |
| 657 | C3×C4 | D3×#361 | 1 | 2 | yes | — |
| 658 | Dic3 | — | 3 | 2 | no | — |
| 659 | Dic3 | — | 3 | 2 | no | — |
| 660 | Dic3 | — | 6 | 1 | no | — |
| 661 | Dic3 | — | 6 | 1 | no | — |
| 662 | Dic3 | — | 8 | 2 | no | — |
| 663 | Dic3 | — | 12 | 2 | no | — |
| 664 | Dic3 | — | 12 | 2 | no | — |
| 665 | C32 | C2×#7389 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 666 | C23 | — | 9 | 1 | no | — |
| 667 | C23 | — | 72 | 1 | no | — |
| 668 | Q8 | — | 12 | 2 | no | — |
| 669 | Q8 | — | 72 | 1 | no | — |
| 670 | D4 | — | 12 | 2 | no | — |
| 671 | D4 | — | 24 | 2 | no | — |
| 672 | D4 | — | 72 | 1 | no | — |
| 673 | D4 | — | 72 | 2 | no | — |
| 674 | C2×C4 | — | 2 | 1 | no | — |
| 675 | C2×C4 | — | 9 | 1 | no | — |
| 676 | C2×C4 | — | 9 | 1 | no | — |
| 677 | C2×C4 | — | 9 | 1 | no | — |
| 678 | C2×C4 | — | 9 | 1 | no | — |
| 679 | C2×C4 | — | 9 | 1 | no | — |
| 680 | C2×C4 | — | 18 | 1 | no | — |
| 681 | C2×C4 | — | 24 | 2 | no | — |
| 682 | C2×C4 | — | 36 | 2 | no | — |
| 683 | C2×C4 | — | 72 | 2 | no | — |
| 684 | C2×C4 | — | 72 | 1 | no | — |
| 685 | C2×C4 | #10590593 | 1 | 1 | yes | characteristic |
| 686 | C8 | — | 2 | 1 | no | — |
| 687 | C8 | — | 9 | 1 | no | — |
| 688 | C8 | — | 9 | 1 | no | — |
| 689 | C8 | — | 16 | 1 | no | — |
| 690 | C8 | — | 18 | 1 | no | — |
| 691 | C8 | — | 24 | 2 | no | — |
| 692 | C8 | — | 144 | 1 | no | — |
| 693 | C8 | #10590935 | 1 | 1 | yes | characteristic |
| 694 | C8 | #10591008 | 1 | 1 | yes | characteristic |
| 695 | C2×C3 | — | 2 | 2 | no | — |
| 696 | C2×C3 | — | 2 | 2 | no | — |
| 697 | C2×C3 | — | 2 | 1 | no | — |
| 698 | C2×C3 | — | 48 | 2 | no | — |
| 699 | C2×C3 | D3×#1333 | 1 | 2 | yes | — |
| 700 | D3 | — | 3 | 4 | no | — |
| 701 | D3 | — | 6 | 2 | no | — |
| 702 | D3 | — | 6 | 2 | no | — |
| 703 | D3 | — | 6 | 2 | no | — |
| 704 | D3 | — | 16 | 2 | no | — |
| 705 | C22 | — | 9 | 1 | no | — |
| 706 | C22 | — | 9 | 1 | no | — |
| 707 | C22 | — | 18 | 2 | no | — |
| 708 | C22 | — | 24 | 2 | no | — |
| 709 | C22 | — | 144 | 2 | no | — |
| 710 | C22 | #11796827 | 1 | 1 | yes | characteristic |
| 711 | C4 | — | 4 | 1 | no | — |
| 712 | C4 | — | 9 | 1 | no | — |
| 713 | C4 | — | 9 | 1 | no | — |
| 714 | C4 | — | 24 | 2 | no | — |
| 715 | C4 | — | 36 | 1 | no | — |
| 716 | C4 | #11774178 | 1 | 1 | yes | characteristic |
| 717 | C4 | #11796886 | 1 | 1 | yes | characteristic |
| 718 | C3 | — | 2 | 1 | no | — |
| 719 | C3 | D3×#7389 | 1 | 2 | yes | complemented |
| 720 | C2 | — | 2 | 1 | no | — |
| 721 | C2 | — | 9 | 2 | no | — |
| 722 | C2 | — | 18 | 1 | no | — |
| 723 | C2 | — | 48 | 2 | no | — |
| 724 | C2 | #72222648 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #72222526 | C2 | semidirect |
| 4. C3×#10682654 | C2 | semidirect |
| 5. #72222480 | C2 | semidirect |
| 6. C3⋊D3×#1368 | C2 | semidirect |
| 19. C3×#67519 | C22 | semidirect |
| 20. #11772179 | C22 | semidirect |
| 22. C32×#1368 | C22 | semidirect |
| 29. #10682654 | D3 | semidirect |
| 46. #10590244 | C8 | semidirect |
| 47. #10590240 | C8 | semidirect |
| 49. #10590234 | C8 | semidirect |
| 82. C3×#1368 | C2×D3 | semidirect |
| 84. #67519 | C2×D3 | semidirect |
| 127. C3×Dic24 | C2×C8 | semidirect |
| 129. C3×D48 | C2×C8 | semidirect |
| 253. #1368 | D32 | semidirect |
| 317. Dic24 | D3×C8 | semidirect |
| 319. D48 | D3×C8 | semidirect |
| 593. C3⋊D3 | #7389 | semidirect |
| 665. C32 | C2×#7389 | semidirect |
| 719. C3 | D3×#7389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72222550 | 2 |
| D3×#7389 | 3 |
| #72222526 | 2 |
| C3×#10682654 | 2 |
| #72222480 | 2 |
| C3⋊D3×#1368 | 2 |