Finite Group DatabasebetaFinite Group DatabasebetaOrder 1728.
1380 conjugacy classes of subgroups.
The subgroup lattice has 1060 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3×#41×C3⋊D3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#89041 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#64160 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#64158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11723713 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11723712 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11723707 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11723706 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11723663 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11723661 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11723656 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10595471 | — | 3 | 1 | no | maximal |
| 13 | #10595470 | — | 3 | 1 | no | maximal |
| 14 | #10595469 | — | 3 | 1 | no | maximal |
| 15 | C33×#41 | C22 | 1 | 1 | yes | characteristic |
| 16 | C3×#3832 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C3×Q8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C3×#3830 | — | 2 | 1 | no | — |
| 19 | C3×#3830 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C3×D4×C3⋊D3 | — | 2 | 1 | no | — |
| 21 | C3×D4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C3×#3828 | — | 2 | 1 | no | — |
| 23 | C3×#3828 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C3×C4⋊(C3⋊D3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×C3×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 26 | C2×C3×C4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C3×#634 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×#6295 | — | 2 | 1 | no | — |
| 29 | C2×#6294 | — | 2 | 1 | no | — |
| 30 | #89041 | — | 2 | 1 | no | — |
| 31 | #89041 | — | 2 | 1 | no | — |
| 32 | #89041 | C22 | 1 | 2 | yes | — |
| 33 | #89041 | C22 | 1 | 2 | yes | complemented |
| 34 | C3×#3756 | C22 | 1 | 2 | yes | complemented |
| 35 | C3×#3755 | C22 | 1 | 2 | yes | complemented |
| 36 | C3×#3754 | C22 | 1 | 2 | yes | complemented |
| 37 | C3×#3753 | C22 | 1 | 2 | yes | complemented |
| 38 | C3×#3748 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C3×#3748 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #88812 | C22 | 1 | 2 | yes | complemented |
| 41 | #88811 | C22 | 1 | 2 | yes | complemented |
| 42 | #88811 | C22 | 1 | 2 | yes | complemented |
| 43 | #88810 | C22 | 1 | 2 | yes | complemented |
| 44 | #88809 | C22 | 1 | 2 | yes | complemented |
| 45 | #88808 | C22 | 1 | 2 | yes | complemented |
| 46 | #41×C3⋊D3 | D3 | 1 | 1 | yes | characteristic, complemented |
| 47 | C3×D3×#41 | — | 3 | 1 | no | — |
| 48 | C3×D3×#41 | — | 3 | 1 | no | — |
| 49 | C3×D3×#41 | — | 6 | 1 | no | — |
| 50 | C2×#3799 | — | 3 | 1 | no | — |
| 51 | C2×#3796 | — | 3 | 1 | no | — |
| 52 | C2×#3795 | — | 3 | 1 | no | — |
| 53 | #64160 | D3 | 1 | 1 | yes | characteristic, complemented |
| 54 | #64158 | D3 | 1 | 1 | yes | characteristic, complemented |
| 55 | C3×#951 | — | 3 | 1 | no | — |
| 56 | C3×#951 | — | 3 | 1 | no | — |
| 57 | C3×#951 | — | 6 | 1 | no | — |
| 58 | C3×#949 | — | 3 | 1 | no | — |
| 59 | C3×#949 | — | 3 | 1 | no | — |
| 60 | C3×#949 | — | 6 | 1 | no | — |
| 61 | #63951 | — | 3 | 2 | no | — |
| 62 | #63950 | — | 3 | 2 | no | — |
| 63 | #63949 | — | 3 | 2 | no | — |
| 64 | #63948 | — | 3 | 2 | no | — |
| 65 | #63947 | — | 3 | 2 | no | — |
| 66 | #63946 | — | 3 | 2 | no | — |
| 67 | #63937 | — | 3 | 2 | no | — |
| 68 | #63936 | — | 3 | 2 | no | — |
| 69 | #63935 | — | 3 | 2 | no | — |
| 70 | #63934 | — | 3 | 2 | no | — |
| 71 | #63933 | — | 3 | 2 | no | — |
| 72 | #63932 | — | 3 | 2 | no | — |
| 73 | #63833 | — | 3 | 1 | no | — |
| 74 | #63831 | — | 3 | 1 | no | — |
| 75 | #63830 | — | 3 | 1 | no | — |
| 76 | #63827 | — | 3 | 1 | no | — |
| 77 | #63825 | — | 3 | 1 | no | — |
| 78 | #63823 | — | 3 | 1 | no | — |
| 79 | #63818 | — | 3 | 1 | no | — |
| 80 | D3×#208 | — | 3 | 1 | no | — |
| 81 | D3×#208 | — | 3 | 1 | no | — |
| 82 | C22×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 83 | C22×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 84 | C22×C3×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 85 | C33×Q8 | C23 | 1 | 1 | yes | characteristic |
| 86 | C33×D4 | — | 2 | 1 | no | — |
| 87 | C33×D4 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×C33×C4 | — | 2 | 1 | no | — |
| 89 | C2×C33×C4 | C23 | 1 | 1 | yes | characteristic |
| 90 | C3×#638 | — | 2 | 1 | no | — |
| 91 | C3×#638 | — | 2 | 1 | no | — |
| 92 | C3×#638 | — | 2 | 1 | no | — |
| 93 | C2×C3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 94 | C2×C3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 95 | C2×C3×C3⋊Dic3 | D4 | 1 | 1 | yes | characteristic |
| 96 | C3×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 97 | C3×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 98 | C3×C4⋊(C3⋊D3) | C23 | 1 | 2 | yes | — |
| 99 | C3×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 100 | C3×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 101 | C3×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 102 | C3×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 103 | C3×C4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 104 | C3×C4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 105 | C3×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 106 | C3×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 107 | C3×#634 | — | 2 | 1 | no | — |
| 108 | C3×#634 | — | 2 | 1 | no | — |
| 109 | C3×#634 | C23 | 1 | 2 | yes | — |
| 110 | C3×#634 | C23 | 1 | 1 | yes | characteristic |
| 111 | #6295 | — | 2 | 2 | no | — |
| 112 | #6295 | — | 2 | 2 | no | — |
| 113 | #6294 | — | 2 | 2 | no | — |
| 114 | #6294 | — | 2 | 2 | no | — |
| 115 | C3×C3⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 116 | C3×C3⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 117 | #5822 | — | 9 | 1 | no | — |
| 118 | #5777 | — | 9 | 1 | no | — |
| 119 | #5773 | — | 9 | 1 | no | — |
| 120 | C32×#41 | — | 2 | 1 | no | — |
| 121 | C32×#41 | — | 2 | 1 | no | — |
| 122 | C32×#41 | — | 2 | 1 | no | — |
| 123 | C32×#41 | — | 4 | 1 | no | — |
| 124 | C32×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 125 | C32×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 126 | C32×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 127 | #3832 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 128 | Q8×C3⋊D3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 129 | #3830 | — | 2 | 1 | no | — |
| 130 | #3830 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 131 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 132 | D4×C3⋊D3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 133 | #3828 | — | 2 | 1 | no | — |
| 134 | #3828 | C2×D3 | 1 | 1 | yes | characteristic |
| 135 | C2×C4⋊(C3⋊D3) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 136 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 137 | C2×C4×C3⋊D3 | C2×D3 | 1 | 1 | yes | characteristic |
| 138 | C2×#634 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 139 | C3×#239 | — | 3 | 1 | no | — |
| 140 | C3×#239 | — | 3 | 1 | no | — |
| 141 | C3×#239 | — | 6 | 1 | no | — |
| 142 | C3×D3×Q8 | — | 3 | 1 | no | — |
| 143 | C3×D3×Q8 | — | 3 | 1 | no | — |
| 144 | C3×D3×Q8 | — | 6 | 1 | no | — |
| 145 | C3×#237 | — | 3 | 1 | no | — |
| 146 | C3×#237 | — | 3 | 1 | no | — |
| 147 | C3×#237 | — | 6 | 1 | no | — |
| 148 | C3×#237 | — | 6 | 1 | no | — |
| 149 | C3×#237 | — | 6 | 1 | no | — |
| 150 | C3×#237 | — | 6 | 2 | no | — |
| 151 | C3×D3×D4 | — | 3 | 1 | no | — |
| 152 | C3×D3×D4 | — | 3 | 1 | no | — |
| 153 | C3×D3×D4 | — | 6 | 1 | no | — |
| 154 | C3×D3×D4 | — | 6 | 1 | no | — |
| 155 | C3×D3×D4 | — | 6 | 1 | no | — |
| 156 | C3×D3×D4 | — | 6 | 2 | no | — |
| 157 | C3×#235 | — | 3 | 1 | no | — |
| 158 | C3×#235 | — | 3 | 1 | no | — |
| 159 | C3×#235 | — | 6 | 1 | no | — |
| 160 | C3×#235 | — | 6 | 1 | no | — |
| 161 | C3×#235 | — | 6 | 1 | no | — |
| 162 | C3×#235 | — | 6 | 2 | no | — |
| 163 | C2×C3×D12 | — | 3 | 1 | no | — |
| 164 | C2×C3×D12 | — | 3 | 1 | no | — |
| 165 | C2×C3×D12 | — | 6 | 1 | no | — |
| 166 | C2×C3×C4×D3 | — | 3 | 1 | no | — |
| 167 | C2×C3×C4×D3 | — | 3 | 1 | no | — |
| 168 | C2×C3×C4×D3 | — | 6 | 1 | no | — |
| 169 | C2×C3×C4×D3 | — | 6 | 1 | no | — |
| 170 | C2×C3×C4×D3 | — | 6 | 1 | no | — |
| 171 | C2×C3×C4×D3 | — | 6 | 2 | no | — |
| 172 | C2×C3×Dic6 | — | 3 | 1 | no | — |
| 173 | C2×C3×Dic6 | — | 3 | 1 | no | — |
| 174 | C2×C3×Dic6 | — | 6 | 1 | no | — |
| 175 | C2×#626 | — | 6 | 1 | no | — |
| 176 | C2×#626 | — | 6 | 1 | no | — |
| 177 | C2×#625 | — | 6 | 1 | no | — |
| 178 | C2×#624 | — | 6 | 1 | no | — |
| 179 | C2×D3×Dic3 | — | 6 | 1 | no | — |
| 180 | C2×D3×Dic3 | — | 6 | 1 | no | — |
| 181 | #3799 | — | 3 | 2 | no | — |
| 182 | #3799 | — | 3 | 2 | no | — |
| 183 | #3799 | — | 6 | 1 | no | — |
| 184 | #3799 | — | 6 | 1 | no | — |
| 185 | #3796 | — | 3 | 2 | no | — |
| 186 | #3796 | — | 3 | 2 | no | — |
| 187 | #3796 | — | 6 | 1 | no | — |
| 188 | #3796 | — | 6 | 1 | no | — |
| 189 | #3795 | — | 3 | 2 | no | — |
| 190 | #3795 | — | 3 | 2 | no | — |
| 191 | #3795 | — | 6 | 1 | no | — |
| 192 | #3795 | — | 6 | 1 | no | — |
| 193 | #3756 | C2×D3 | 1 | 2 | yes | complemented |
| 194 | #3755 | C2×D3 | 1 | 2 | yes | complemented |
| 195 | #3754 | C2×D3 | 1 | 2 | yes | complemented |
| 196 | #3753 | C2×D3 | 1 | 2 | yes | complemented |
| 197 | #3748 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 198 | #3748 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 199 | C3×#216 | — | 3 | 2 | no | — |
| 200 | C3×#216 | — | 3 | 2 | no | — |
| 201 | C3×#216 | — | 6 | 2 | no | — |
| 202 | C3×#215 | — | 3 | 2 | no | — |
| 203 | C3×#215 | — | 3 | 2 | no | — |
| 204 | C3×#215 | — | 6 | 2 | no | — |
| 205 | C3×#214 | — | 3 | 2 | no | — |
| 206 | C3×#214 | — | 3 | 2 | no | — |
| 207 | C3×#214 | — | 6 | 2 | no | — |
| 208 | C3×#213 | — | 3 | 2 | no | — |
| 209 | C3×#213 | — | 3 | 2 | no | — |
| 210 | C3×#213 | — | 6 | 2 | no | — |
| 211 | C3×#208 | — | 3 | 1 | no | — |
| 212 | C3×#208 | — | 3 | 1 | no | — |
| 213 | C3×#208 | — | 3 | 1 | no | — |
| 214 | C3×#208 | — | 3 | 1 | no | — |
| 215 | C3×#208 | — | 6 | 1 | no | — |
| 216 | C3×#208 | — | 6 | 1 | no | — |
| 217 | #3719 | — | 3 | 2 | no | — |
| 218 | #3719 | — | 3 | 2 | no | — |
| 219 | #3718 | — | 3 | 2 | no | — |
| 220 | #3717 | — | 3 | 2 | no | — |
| 221 | #3717 | — | 3 | 2 | no | — |
| 222 | #3716 | — | 3 | 2 | no | — |
| 223 | #3716 | — | 3 | 2 | no | — |
| 224 | #3715 | — | 3 | 2 | no | — |
| 225 | #3715 | — | 3 | 2 | no | — |
| 226 | #3714 | — | 3 | 2 | no | — |
| 227 | #3714 | — | 3 | 2 | no | — |
| 228 | #3713 | — | 3 | 2 | no | — |
| 229 | #3712 | — | 3 | 2 | no | — |
| 230 | #3711 | — | 3 | 2 | no | — |
| 231 | #3711 | — | 3 | 2 | no | — |
| 232 | #3710 | — | 3 | 2 | no | — |
| 233 | D3×C3⋊C8 | — | 3 | 2 | no | — |
| 234 | D3×C3⋊C8 | — | 3 | 2 | no | — |
| 235 | C22×C33 | — | 2 | 1 | no | — |
| 236 | C22×C33 | C2×D4 | 1 | 1 | yes | characteristic |
| 237 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 238 | C2×C3×C3⋊D3 | — | 2 | 2 | no | — |
| 239 | C2×C3×C3⋊D3 | — | 4 | 1 | no | — |
| 240 | C2×C3×C3⋊D3 | — | 4 | 2 | no | — |
| 241 | C2×C3×C3⋊D3 | — | 4 | 2 | no | — |
| 242 | C2×C3×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×C3×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C33×C4 | — | 2 | 1 | no | — |
| 245 | C33×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | C33×C4 | C24 | 1 | 1 | yes | characteristic |
| 247 | C3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 248 | C3×C3⋊Dic3 | — | 2 | 2 | no | — |
| 249 | C3×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C3×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C2×C3×#41 | — | 9 | 1 | no | — |
| 252 | D3×#41 | — | 3 | 1 | no | — |
| 253 | D3×#41 | — | 3 | 1 | no | — |
| 254 | D3×#41 | — | 6 | 1 | no | — |
| 255 | C2×#239 | — | 9 | 1 | no | — |
| 256 | C2×#237 | — | 9 | 1 | no | — |
| 257 | C2×#235 | — | 9 | 1 | no | — |
| 258 | C3×#137 | — | 9 | 1 | no | — |
| 259 | C3×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 260 | #951 | — | 3 | 1 | no | — |
| 261 | #951 | — | 3 | 1 | no | — |
| 262 | #951 | — | 6 | 1 | no | — |
| 263 | #951 | — | 9 | 1 | no | — |
| 264 | #950 | — | 9 | 2 | no | — |
| 265 | #950 | — | 9 | 2 | no | — |
| 266 | #949 | — | 3 | 1 | no | — |
| 267 | #949 | — | 3 | 1 | no | — |
| 268 | #949 | — | 6 | 1 | no | — |
| 269 | #949 | — | 9 | 1 | no | — |
| 270 | #942 | — | 9 | 1 | no | — |
| 271 | #942 | — | 9 | 2 | no | — |
| 272 | #932 | — | 9 | 1 | no | — |
| 273 | #932 | — | 9 | 2 | no | — |
| 274 | C2×#208 | — | 9 | 1 | no | — |
| 275 | #919 | — | 9 | 2 | no | — |
| 276 | #918 | — | 9 | 2 | no | — |
| 277 | #916 | — | 9 | 2 | no | — |
| 278 | #916 | — | 9 | 2 | no | — |
| 279 | #915 | — | 9 | 2 | no | — |
| 280 | #914 | — | 9 | 2 | no | — |
| 281 | #912 | — | 9 | 2 | no | — |
| 282 | #911 | — | 9 | 2 | no | — |
| 283 | #909 | — | 9 | 1 | no | — |
| 284 | #908 | — | 9 | 1 | no | — |
| 285 | D3×M16 | — | 9 | 1 | no | — |
| 286 | D3×M16 | — | 9 | 1 | no | — |
| 287 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 288 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 289 | C22×C3⋊D3 | #67 | 1 | 1 | yes | characteristic |
| 290 | C22×C3×D3 | — | 3 | 1 | no | — |
| 291 | C22×C3×D3 | — | 3 | 1 | no | — |
| 292 | C22×C3×D3 | — | 6 | 1 | no | — |
| 293 | C22×C3×D3 | — | 6 | 1 | no | — |
| 294 | C22×C3×D3 | — | 6 | 1 | no | — |
| 295 | C22×C3×D3 | — | 6 | 2 | no | — |
| 296 | C22×C3×D3 | — | 6 | 1 | no | — |
| 297 | C22×C3×D3 | — | 6 | 1 | no | — |
| 298 | C22×C3×D3 | — | 12 | 1 | no | — |
| 299 | C32×Q8 | — | 2 | 1 | no | — |
| 300 | C32×Q8 | — | 2 | 1 | no | — |
| 301 | C32×Q8 | — | 2 | 1 | no | — |
| 302 | C32×Q8 | — | 4 | 1 | no | — |
| 303 | C32×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 304 | C32×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 305 | C32×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 306 | C32×D4 | — | 2 | 1 | no | — |
| 307 | C32×D4 | — | 2 | 2 | no | — |
| 308 | C32×D4 | — | 2 | 1 | no | — |
| 309 | C32×D4 | — | 2 | 1 | no | — |
| 310 | C32×D4 | — | 2 | 1 | no | — |
| 311 | C32×D4 | — | 2 | 1 | no | — |
| 312 | C32×D4 | — | 2 | 1 | no | — |
| 313 | C32×D4 | — | 4 | 1 | no | — |
| 314 | C32×D4 | — | 4 | 1 | no | — |
| 315 | C32×D4 | — | 4 | 1 | no | — |
| 316 | C32×D4 | — | 4 | 2 | no | — |
| 317 | C32×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 318 | C32×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 319 | C32×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 320 | C2×C32×C4 | — | 2 | 1 | no | — |
| 321 | C2×C32×C4 | — | 2 | 2 | no | — |
| 322 | C2×C32×C4 | — | 2 | 1 | no | — |
| 323 | C2×C32×C4 | — | 2 | 1 | no | — |
| 324 | C2×C32×C4 | — | 2 | 1 | no | — |
| 325 | C2×C32×C4 | — | 2 | 1 | no | — |
| 326 | C2×C32×C4 | — | 2 | 1 | no | — |
| 327 | C2×C32×C4 | — | 4 | 1 | no | — |
| 328 | C2×C32×C4 | — | 4 | 1 | no | — |
| 329 | C2×C32×C4 | — | 4 | 1 | no | — |
| 330 | C2×C32×C4 | — | 4 | 2 | no | — |
| 331 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 332 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 333 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 334 | #638 | — | 2 | 1 | no | — |
| 335 | #638 | — | 2 | 1 | no | — |
| 336 | #638 | — | 2 | 1 | no | — |
| 337 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 338 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 339 | C2×C3⋊Dic3 | #67 | 1 | 1 | yes | characteristic |
| 340 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 341 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 342 | C4⋊(C3⋊D3) | C22×D3 | 1 | 1 | yes | characteristic |
| 343 | C4⋊(C3⋊D3) | C22×D3 | 1 | 2 | yes | — |
| 344 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 345 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 346 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 347 | C4×C3⋊D3 | #67 | 1 | 1 | yes | characteristic |
| 348 | C4×C3⋊D3 | #67 | 1 | 1 | yes | characteristic |
| 349 | C4×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 350 | C4×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 351 | #634 | — | 2 | 1 | no | — |
| 352 | #634 | — | 2 | 1 | no | — |
| 353 | #634 | C22×D3 | 1 | 1 | yes | characteristic |
| 354 | #634 | C22×D3 | 1 | 2 | yes | — |
| 355 | C3×#67 | — | 6 | 1 | no | — |
| 356 | C3×#67 | — | 6 | 1 | no | — |
| 357 | C3×#67 | — | 6 | 1 | no | — |
| 358 | C3×#67 | — | 6 | 1 | no | — |
| 359 | C3×#67 | — | 6 | 2 | no | — |
| 360 | C3×#67 | — | 6 | 2 | no | — |
| 361 | C3×#67 | — | 6 | 2 | no | — |
| 362 | C3×#67 | — | 6 | 1 | no | — |
| 363 | C3×#67 | — | 6 | 1 | no | — |
| 364 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 365 | C2×C3×Dic3 | — | 3 | 1 | no | — |
| 366 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 367 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 368 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 369 | C2×C3×Dic3 | — | 6 | 2 | no | — |
| 370 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 371 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 372 | C2×C3×Dic3 | — | 12 | 1 | no | — |
| 373 | C3×D12 | — | 3 | 1 | no | — |
| 374 | C3×D12 | — | 3 | 2 | no | — |
| 375 | C3×D12 | — | 3 | 1 | no | — |
| 376 | C3×D12 | — | 3 | 2 | no | — |
| 377 | C3×D12 | — | 6 | 1 | no | — |
| 378 | C3×D12 | — | 6 | 2 | no | — |
| 379 | C3×D12 | — | 6 | 1 | no | — |
| 380 | C3×D12 | — | 6 | 1 | no | — |
| 381 | C3×D12 | — | 6 | 2 | no | — |
| 382 | C3×D12 | — | 6 | 1 | no | — |
| 383 | C3×D12 | — | 6 | 1 | no | — |
| 384 | C3×D12 | — | 12 | 1 | no | — |
| 385 | C3×C4×D3 | — | 3 | 1 | no | — |
| 386 | C3×C4×D3 | — | 3 | 1 | no | — |
| 387 | C3×C4×D3 | — | 3 | 1 | no | — |
| 388 | C3×C4×D3 | — | 3 | 1 | no | — |
| 389 | C3×C4×D3 | — | 3 | 1 | no | — |
| 390 | C3×C4×D3 | — | 3 | 1 | no | — |
| 391 | C3×C4×D3 | — | 3 | 1 | no | — |
| 392 | C3×C4×D3 | — | 3 | 1 | no | — |
| 393 | C3×C4×D3 | — | 6 | 1 | no | — |
| 394 | C3×C4×D3 | — | 6 | 1 | no | — |
| 395 | C3×C4×D3 | — | 6 | 1 | no | — |
| 396 | C3×C4×D3 | — | 6 | 1 | no | — |
| 397 | C3×C4×D3 | — | 6 | 1 | no | — |
| 398 | C3×C4×D3 | — | 6 | 1 | no | — |
| 399 | C3×C4×D3 | — | 6 | 1 | no | — |
| 400 | C3×C4×D3 | — | 6 | 1 | no | — |
| 401 | C3×C4×D3 | — | 6 | 2 | no | — |
| 402 | C3×C4×D3 | — | 6 | 2 | no | — |
| 403 | C3×C4×D3 | — | 6 | 2 | no | — |
| 404 | C3×C4×D3 | — | 6 | 1 | no | — |
| 405 | C3×C4×D3 | — | 6 | 1 | no | — |
| 406 | C3×Dic6 | — | 3 | 1 | no | — |
| 407 | C3×Dic6 | — | 3 | 2 | no | — |
| 408 | C3×Dic6 | — | 3 | 1 | no | — |
| 409 | C3×Dic6 | — | 3 | 2 | no | — |
| 410 | C3×Dic6 | — | 6 | 1 | no | — |
| 411 | C3×Dic6 | — | 6 | 2 | no | — |
| 412 | C3×Dic6 | — | 6 | 1 | no | — |
| 413 | C3×Dic6 | — | 6 | 1 | no | — |
| 414 | C3×Dic6 | — | 6 | 2 | no | — |
| 415 | C3×Dic6 | — | 6 | 1 | no | — |
| 416 | C3×Dic6 | — | 6 | 1 | no | — |
| 417 | C3×Dic6 | — | 12 | 1 | no | — |
| 418 | #626 | — | 6 | 2 | no | — |
| 419 | #626 | — | 6 | 2 | no | — |
| 420 | #626 | — | 6 | 2 | no | — |
| 421 | #626 | — | 6 | 2 | no | — |
| 422 | #625 | — | 6 | 2 | no | — |
| 423 | #625 | — | 6 | 2 | no | — |
| 424 | #624 | — | 6 | 2 | no | — |
| 425 | #624 | — | 6 | 2 | no | — |
| 426 | D3×Dic3 | — | 6 | 2 | no | — |
| 427 | D3×Dic3 | — | 6 | 2 | no | — |
| 428 | D3×Dic3 | — | 6 | 2 | no | — |
| 429 | D3×Dic3 | — | 6 | 2 | no | — |
| 430 | C3⋊(C3⋊C8) | C22×D3 | 1 | 2 | yes | — |
| 431 | C3⋊(C3⋊C8) | C22×D3 | 1 | 2 | yes | — |
| 432 | C3×C3⋊C8 | — | 3 | 2 | no | — |
| 433 | C3×C3⋊C8 | — | 3 | 2 | no | — |
| 434 | C3×C3⋊C8 | — | 3 | 2 | no | — |
| 435 | C3×C3⋊C8 | — | 3 | 2 | no | — |
| 436 | C3×C3⋊C8 | — | 6 | 2 | no | — |
| 437 | C3×C3⋊C8 | — | 6 | 2 | no | — |
| 438 | #575 | — | 27 | 1 | no | Sylow |
| 439 | C2×C33 | — | 2 | 1 | no | — |
| 440 | C2×C33 | — | 4 | 1 | no | — |
| 441 | C2×C33 | C22×D4 | 1 | 1 | yes | characteristic |
| 442 | C3×C3⋊D3 | — | 2 | 1 | no | — |
| 443 | C3×C3⋊D3 | — | 2 | 1 | no | — |
| 444 | C3×C3⋊D3 | — | 4 | 1 | no | — |
| 445 | C3×C3⋊D3 | — | 4 | 2 | no | — |
| 446 | C3×#41 | — | 2 | 1 | no | — |
| 447 | C3×#41 | — | 2 | 1 | no | — |
| 448 | C3×#41 | — | 2 | 1 | no | — |
| 449 | C3×#41 | — | 4 | 1 | no | — |
| 450 | C3×#41 | — | 9 | 1 | no | — |
| 451 | C3×#41 | — | 9 | 1 | no | — |
| 452 | C3×#41 | — | 9 | 1 | no | — |
| 453 | C3×#41 | — | 18 | 1 | no | — |
| 454 | C3×#41 | — | 18 | 1 | no | — |
| 455 | C3×#41 | D32 | 1 | 1 | yes | characteristic |
| 456 | C3×#41 | D32 | 1 | 1 | yes | characteristic |
| 457 | C3×#41 | D32 | 1 | 1 | yes | characteristic |
| 458 | C2×C3×Q8 | — | 9 | 1 | no | — |
| 459 | C2×C3×Q8 | — | 9 | 1 | no | — |
| 460 | C2×C3×D4 | — | 9 | 1 | no | — |
| 461 | C2×C3×D4 | — | 9 | 1 | no | — |
| 462 | C2×C3×D4 | — | 18 | 1 | no | — |
| 463 | C22×C3×C4 | — | 9 | 1 | no | — |
| 464 | C22×C3×C4 | — | 18 | 1 | no | — |
| 465 | C2×#67 | — | 18 | 1 | no | — |
| 466 | C2×#67 | — | 18 | 1 | no | — |
| 467 | C22×Dic3 | — | 18 | 1 | no | — |
| 468 | #239 | — | 3 | 1 | no | — |
| 469 | #239 | — | 3 | 1 | no | — |
| 470 | #239 | — | 6 | 1 | no | — |
| 471 | #239 | — | 9 | 2 | no | — |
| 472 | #239 | — | 9 | 2 | no | — |
| 473 | #239 | — | 18 | 1 | no | — |
| 474 | #239 | — | 18 | 1 | no | — |
| 475 | D3×Q8 | — | 3 | 1 | no | — |
| 476 | D3×Q8 | — | 3 | 1 | no | — |
| 477 | D3×Q8 | — | 6 | 1 | no | — |
| 478 | #237 | — | 3 | 1 | no | — |
| 479 | #237 | — | 3 | 1 | no | — |
| 480 | #237 | — | 6 | 1 | no | — |
| 481 | #237 | — | 6 | 1 | no | — |
| 482 | #237 | — | 6 | 1 | no | — |
| 483 | #237 | — | 6 | 2 | no | — |
| 484 | #237 | — | 9 | 2 | no | — |
| 485 | #237 | — | 9 | 2 | no | — |
| 486 | #237 | — | 18 | 1 | no | — |
| 487 | #237 | — | 18 | 1 | no | — |
| 488 | D3×D4 | — | 3 | 1 | no | — |
| 489 | D3×D4 | — | 3 | 1 | no | — |
| 490 | D3×D4 | — | 6 | 1 | no | — |
| 491 | D3×D4 | — | 6 | 1 | no | — |
| 492 | D3×D4 | — | 6 | 1 | no | — |
| 493 | D3×D4 | — | 6 | 2 | no | — |
| 494 | #235 | — | 3 | 1 | no | — |
| 495 | #235 | — | 3 | 1 | no | — |
| 496 | #235 | — | 6 | 1 | no | — |
| 497 | #235 | — | 6 | 1 | no | — |
| 498 | #235 | — | 6 | 1 | no | — |
| 499 | #235 | — | 6 | 2 | no | — |
| 500 | #235 | — | 9 | 2 | no | — |
| 501 | #235 | — | 9 | 2 | no | — |
| 502 | #235 | — | 18 | 1 | no | — |
| 503 | #235 | — | 18 | 1 | no | — |
| 504 | C2×D12 | — | 3 | 1 | no | — |
| 505 | C2×D12 | — | 3 | 1 | no | — |
| 506 | C2×D12 | — | 6 | 1 | no | — |
| 507 | C2×D12 | — | 18 | 1 | no | — |
| 508 | C2×C4×D3 | — | 3 | 1 | no | — |
| 509 | C2×C4×D3 | — | 3 | 1 | no | — |
| 510 | C2×C4×D3 | — | 6 | 1 | no | — |
| 511 | C2×C4×D3 | — | 6 | 1 | no | — |
| 512 | C2×C4×D3 | — | 6 | 1 | no | — |
| 513 | C2×C4×D3 | — | 6 | 2 | no | — |
| 514 | C2×C4×D3 | — | 18 | 1 | no | — |
| 515 | C2×C4×D3 | — | 18 | 1 | no | — |
| 516 | C2×Dic6 | — | 3 | 1 | no | — |
| 517 | C2×Dic6 | — | 3 | 1 | no | — |
| 518 | C2×Dic6 | — | 6 | 1 | no | — |
| 519 | C3×Q16 | — | 9 | 2 | no | — |
| 520 | C3×SD16 | — | 9 | 2 | no | — |
| 521 | C3×SD16 | — | 9 | 2 | no | — |
| 522 | C3×D8 | — | 9 | 2 | no | — |
| 523 | C3×M16 | — | 9 | 1 | no | — |
| 524 | C3×M16 | — | 9 | 1 | no | — |
| 525 | #216 | — | 3 | 2 | no | — |
| 526 | #216 | — | 3 | 2 | no | — |
| 527 | #216 | — | 6 | 2 | no | — |
| 528 | #216 | — | 9 | 2 | no | — |
| 529 | #216 | — | 9 | 2 | no | — |
| 530 | #215 | — | 3 | 2 | no | — |
| 531 | #215 | — | 3 | 2 | no | — |
| 532 | #215 | — | 6 | 2 | no | — |
| 533 | #215 | — | 9 | 2 | no | — |
| 534 | #215 | — | 9 | 2 | no | — |
| 535 | #214 | — | 3 | 2 | no | — |
| 536 | #214 | — | 3 | 2 | no | — |
| 537 | #214 | — | 6 | 2 | no | — |
| 538 | #214 | — | 9 | 2 | no | — |
| 539 | #214 | — | 9 | 2 | no | — |
| 540 | #213 | — | 3 | 2 | no | — |
| 541 | #213 | — | 3 | 2 | no | — |
| 542 | #213 | — | 6 | 2 | no | — |
| 543 | #213 | — | 9 | 2 | no | — |
| 544 | #213 | — | 9 | 2 | no | — |
| 545 | #208 | — | 3 | 1 | no | — |
| 546 | #208 | — | 3 | 1 | no | — |
| 547 | #208 | — | 3 | 1 | no | — |
| 548 | #208 | — | 3 | 1 | no | — |
| 549 | #208 | — | 6 | 1 | no | — |
| 550 | #208 | — | 6 | 1 | no | — |
| 551 | #208 | — | 9 | 2 | no | — |
| 552 | C2×C3⋊C8 | — | 9 | 2 | no | — |
| 553 | Dic12 | — | 9 | 2 | no | — |
| 554 | D24 | — | 9 | 2 | no | — |
| 555 | #204 | — | 9 | 2 | no | — |
| 556 | #204 | — | 9 | 2 | no | — |
| 557 | ΓL(1,𝔽25) | — | 9 | 2 | no | — |
| 558 | ΓL(1,𝔽25) | — | 9 | 2 | no | — |
| 559 | D3×C8 | — | 9 | 2 | no | — |
| 560 | D3×C8 | — | 9 | 2 | no | — |
| 561 | C22×C32 | — | 2 | 1 | no | — |
| 562 | C22×C32 | — | 2 | 2 | no | — |
| 563 | C22×C32 | — | 2 | 1 | no | — |
| 564 | C22×C32 | — | 2 | 1 | no | — |
| 565 | C22×C32 | — | 2 | 1 | no | — |
| 566 | C22×C32 | — | 2 | 1 | no | — |
| 567 | C22×C32 | — | 2 | 1 | no | — |
| 568 | C22×C32 | — | 4 | 1 | no | — |
| 569 | C22×C32 | — | 4 | 1 | no | — |
| 570 | C22×C32 | — | 4 | 1 | no | — |
| 571 | C22×C32 | — | 4 | 2 | no | — |
| 572 | C22×C32 | D3×D4 | 1 | 1 | yes | characteristic |
| 573 | C22×C32 | D3×D4 | 1 | 1 | yes | characteristic |
| 574 | C22×C32 | C2×#67 | 1 | 1 | yes | characteristic |
| 575 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 576 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 577 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 578 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 579 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 580 | C2×C3⋊D3 | C2×#67 | 1 | 1 | yes | characteristic |
| 581 | C2×C3⋊D3 | C2×#67 | 1 | 1 | yes | characteristic |
| 582 | C2×C3×D3 | — | 3 | 1 | no | — |
| 583 | C2×C3×D3 | — | 3 | 1 | no | — |
| 584 | C2×C3×D3 | — | 3 | 1 | no | — |
| 585 | C2×C3×D3 | — | 3 | 1 | no | — |
| 586 | C2×C3×D3 | — | 6 | 1 | no | — |
| 587 | C2×C3×D3 | — | 6 | 1 | no | — |
| 588 | C2×C3×D3 | — | 6 | 2 | no | — |
| 589 | C2×C3×D3 | — | 6 | 2 | no | — |
| 590 | C2×C3×D3 | — | 6 | 1 | no | — |
| 591 | C2×C3×D3 | — | 6 | 1 | no | — |
| 592 | C2×C3×D3 | — | 6 | 2 | no | — |
| 593 | C2×C3×D3 | — | 12 | 2 | no | — |
| 594 | C2×C3×D3 | — | 12 | 1 | no | — |
| 595 | C2×C3×D3 | — | 12 | 1 | no | — |
| 596 | C2×C3×D3 | — | 12 | 2 | no | — |
| 597 | C2×C3×D3 | — | 12 | 4 | no | — |
| 598 | C2×C3×D3 | — | 12 | 2 | no | — |
| 599 | C2×C3×D3 | — | 12 | 2 | no | — |
| 600 | C2×C3×D3 | — | 12 | 2 | no | — |
| 601 | C2×C3×D3 | — | 12 | 2 | no | — |
| 602 | C2×C3×D3 | — | 24 | 2 | no | — |
| 603 | C32×C4 | — | 2 | 1 | no | — |
| 604 | C32×C4 | — | 2 | 2 | no | — |
| 605 | C32×C4 | — | 2 | 1 | no | — |
| 606 | C32×C4 | — | 2 | 1 | no | — |
| 607 | C32×C4 | — | 2 | 1 | no | — |
| 608 | C32×C4 | — | 2 | 1 | no | — |
| 609 | C32×C4 | — | 2 | 1 | no | — |
| 610 | C32×C4 | — | 2 | 1 | no | — |
| 611 | C32×C4 | — | 2 | 1 | no | — |
| 612 | C32×C4 | — | 2 | 1 | no | — |
| 613 | C32×C4 | — | 4 | 1 | no | — |
| 614 | C32×C4 | — | 4 | 1 | no | — |
| 615 | C32×C4 | — | 4 | 1 | no | — |
| 616 | C32×C4 | — | 4 | 1 | no | — |
| 617 | C32×C4 | — | 4 | 2 | no | — |
| 618 | C32×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 619 | C32×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 620 | C32×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 621 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 622 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 623 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 624 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 625 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 626 | C3⋊Dic3 | C2×#67 | 1 | 1 | yes | characteristic |
| 627 | C3⋊Dic3 | C2×#67 | 1 | 1 | yes | characteristic |
| 628 | C3×Dic3 | — | 3 | 1 | no | — |
| 629 | C3×Dic3 | — | 3 | 1 | no | — |
| 630 | C3×Dic3 | — | 3 | 1 | no | — |
| 631 | C3×Dic3 | — | 3 | 1 | no | — |
| 632 | C3×Dic3 | — | 6 | 1 | no | — |
| 633 | C3×Dic3 | — | 6 | 1 | no | — |
| 634 | C3×Dic3 | — | 6 | 2 | no | — |
| 635 | C3×Dic3 | — | 6 | 2 | no | — |
| 636 | C3×Dic3 | — | 6 | 1 | no | — |
| 637 | C3×Dic3 | — | 6 | 1 | no | — |
| 638 | C3×Dic3 | — | 6 | 2 | no | — |
| 639 | C3×Dic3 | — | 12 | 2 | no | — |
| 640 | C2×#41 | — | 9 | 1 | no | — |
| 641 | C2×#41 | — | 27 | 1 | no | — |
| 642 | #137 | — | 9 | 1 | no | — |
| 643 | #137 | — | 27 | 1 | no | — |
| 644 | #137 | — | 27 | 2 | no | — |
| 645 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 646 | AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 647 | AGL(1,ℤ/8) | — | 27 | 2 | no | — |
| 648 | #135 | — | 27 | 2 | no | — |
| 649 | #135 | — | 27 | 2 | no | — |
| 650 | C2×M16 | — | 27 | 1 | no | — |
| 651 | C33 | #575 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 652 | C23×C3 | — | 9 | 1 | no | — |
| 653 | C23×C3 | — | 18 | 1 | no | — |
| 654 | C23×C3 | — | 18 | 1 | no | — |
| 655 | C22×D3 | — | 3 | 1 | no | — |
| 656 | C22×D3 | — | 3 | 1 | no | — |
| 657 | C22×D3 | — | 6 | 1 | no | — |
| 658 | C22×D3 | — | 6 | 1 | no | — |
| 659 | C22×D3 | — | 6 | 1 | no | — |
| 660 | C22×D3 | — | 6 | 2 | no | — |
| 661 | C22×D3 | — | 6 | 1 | no | — |
| 662 | C22×D3 | — | 6 | 1 | no | — |
| 663 | C22×D3 | — | 12 | 1 | no | — |
| 664 | C3×Q8 | — | 2 | 1 | no | — |
| 665 | C3×Q8 | — | 2 | 1 | no | — |
| 666 | C3×Q8 | — | 2 | 1 | no | — |
| 667 | C3×Q8 | — | 4 | 1 | no | — |
| 668 | C3×Q8 | — | 9 | 1 | no | — |
| 669 | C3×Q8 | — | 9 | 2 | no | — |
| 670 | C3×Q8 | — | 18 | 1 | no | — |
| 671 | C3×Q8 | — | 18 | 1 | no | — |
| 672 | C3×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 673 | C3×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 674 | C3×Q8 | C2×D32 | 1 | 1 | yes | characteristic |
| 675 | C3×D4 | — | 2 | 2 | no | — |
| 676 | C3×D4 | — | 2 | 1 | no | — |
| 677 | C3×D4 | — | 2 | 1 | no | — |
| 678 | C3×D4 | — | 2 | 1 | no | — |
| 679 | C3×D4 | — | 2 | 1 | no | — |
| 680 | C3×D4 | — | 2 | 1 | no | — |
| 681 | C3×D4 | — | 2 | 1 | no | — |
| 682 | C3×D4 | — | 4 | 1 | no | — |
| 683 | C3×D4 | — | 4 | 1 | no | — |
| 684 | C3×D4 | — | 4 | 2 | no | — |
| 685 | C3×D4 | — | 4 | 1 | no | — |
| 686 | C3×D4 | — | 9 | 1 | no | — |
| 687 | C3×D4 | — | 9 | 2 | no | — |
| 688 | C3×D4 | — | 18 | 1 | no | — |
| 689 | C3×D4 | — | 18 | 1 | no | — |
| 690 | C3×D4 | — | 18 | 1 | no | — |
| 691 | C3×D4 | — | 18 | 1 | no | — |
| 692 | C3×D4 | — | 18 | 1 | no | — |
| 693 | C3×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 694 | C3×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 695 | C3×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 696 | C2×C3×C4 | — | 2 | 2 | no | — |
| 697 | C2×C3×C4 | — | 2 | 1 | no | — |
| 698 | C2×C3×C4 | — | 2 | 1 | no | — |
| 699 | C2×C3×C4 | — | 2 | 1 | no | — |
| 700 | C2×C3×C4 | — | 2 | 1 | no | — |
| 701 | C2×C3×C4 | — | 2 | 1 | no | — |
| 702 | C2×C3×C4 | — | 2 | 1 | no | — |
| 703 | C2×C3×C4 | — | 4 | 1 | no | — |
| 704 | C2×C3×C4 | — | 4 | 1 | no | — |
| 705 | C2×C3×C4 | — | 4 | 2 | no | — |
| 706 | C2×C3×C4 | — | 4 | 1 | no | — |
| 707 | C2×C3×C4 | — | 9 | 1 | no | — |
| 708 | C2×C3×C4 | — | 9 | 1 | no | — |
| 709 | C2×C3×C4 | — | 9 | 1 | no | — |
| 710 | C2×C3×C4 | — | 9 | 1 | no | — |
| 711 | C2×C3×C4 | — | 9 | 1 | no | — |
| 712 | C2×C3×C4 | — | 18 | 1 | no | — |
| 713 | C2×C3×C4 | — | 18 | 1 | no | — |
| 714 | C2×C3×C4 | — | 18 | 1 | no | — |
| 715 | C2×C3×C4 | — | 18 | 1 | no | — |
| 716 | C2×C3×C4 | — | 18 | 1 | no | — |
| 717 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 718 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 719 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 720 | #67 | — | 6 | 1 | no | — |
| 721 | #67 | — | 6 | 1 | no | — |
| 722 | #67 | — | 6 | 1 | no | — |
| 723 | #67 | — | 6 | 1 | no | — |
| 724 | #67 | — | 6 | 2 | no | — |
| 725 | #67 | — | 6 | 2 | no | — |
| 726 | #67 | — | 6 | 2 | no | — |
| 727 | #67 | — | 6 | 1 | no | — |
| 728 | #67 | — | 6 | 1 | no | — |
| 729 | #67 | — | 18 | 2 | no | — |
| 730 | #67 | — | 18 | 2 | no | — |
| 731 | #67 | — | 18 | 2 | no | — |
| 732 | #67 | — | 18 | 2 | no | — |
| 733 | C2×Dic3 | — | 3 | 1 | no | — |
| 734 | C2×Dic3 | — | 3 | 1 | no | — |
| 735 | C2×Dic3 | — | 6 | 1 | no | — |
| 736 | C2×Dic3 | — | 6 | 1 | no | — |
| 737 | C2×Dic3 | — | 6 | 1 | no | — |
| 738 | C2×Dic3 | — | 6 | 2 | no | — |
| 739 | C2×Dic3 | — | 6 | 1 | no | — |
| 740 | C2×Dic3 | — | 6 | 1 | no | — |
| 741 | C2×Dic3 | — | 12 | 1 | no | — |
| 742 | C2×Dic3 | — | 18 | 2 | no | — |
| 743 | C2×Dic3 | — | 18 | 2 | no | — |
| 744 | D12 | — | 3 | 1 | no | — |
| 745 | D12 | — | 3 | 2 | no | — |
| 746 | D12 | — | 3 | 1 | no | — |
| 747 | D12 | — | 3 | 2 | no | — |
| 748 | D12 | — | 6 | 1 | no | — |
| 749 | D12 | — | 6 | 2 | no | — |
| 750 | D12 | — | 6 | 1 | no | — |
| 751 | D12 | — | 6 | 1 | no | — |
| 752 | D12 | — | 6 | 2 | no | — |
| 753 | D12 | — | 6 | 1 | no | — |
| 754 | D12 | — | 6 | 1 | no | — |
| 755 | D12 | — | 12 | 1 | no | — |
| 756 | D12 | — | 18 | 2 | no | — |
| 757 | D12 | — | 18 | 2 | no | — |
| 758 | C4×D3 | — | 3 | 1 | no | — |
| 759 | C4×D3 | — | 3 | 1 | no | — |
| 760 | C4×D3 | — | 3 | 1 | no | — |
| 761 | C4×D3 | — | 3 | 1 | no | — |
| 762 | C4×D3 | — | 3 | 1 | no | — |
| 763 | C4×D3 | — | 3 | 1 | no | — |
| 764 | C4×D3 | — | 3 | 1 | no | — |
| 765 | C4×D3 | — | 3 | 1 | no | — |
| 766 | C4×D3 | — | 6 | 1 | no | — |
| 767 | C4×D3 | — | 6 | 1 | no | — |
| 768 | C4×D3 | — | 6 | 1 | no | — |
| 769 | C4×D3 | — | 6 | 1 | no | — |
| 770 | C4×D3 | — | 6 | 1 | no | — |
| 771 | C4×D3 | — | 6 | 1 | no | — |
| 772 | C4×D3 | — | 6 | 1 | no | — |
| 773 | C4×D3 | — | 6 | 1 | no | — |
| 774 | C4×D3 | — | 6 | 2 | no | — |
| 775 | C4×D3 | — | 6 | 2 | no | — |
| 776 | C4×D3 | — | 6 | 2 | no | — |
| 777 | C4×D3 | — | 6 | 1 | no | — |
| 778 | C4×D3 | — | 6 | 1 | no | — |
| 779 | C4×D3 | — | 18 | 2 | no | — |
| 780 | C4×D3 | — | 18 | 2 | no | — |
| 781 | C4×D3 | — | 18 | 2 | no | — |
| 782 | C4×D3 | — | 18 | 2 | no | — |
| 783 | Dic6 | — | 3 | 1 | no | — |
| 784 | Dic6 | — | 3 | 2 | no | — |
| 785 | Dic6 | — | 3 | 1 | no | — |
| 786 | Dic6 | — | 3 | 2 | no | — |
| 787 | Dic6 | — | 6 | 1 | no | — |
| 788 | Dic6 | — | 6 | 2 | no | — |
| 789 | Dic6 | — | 6 | 1 | no | — |
| 790 | Dic6 | — | 6 | 1 | no | — |
| 791 | Dic6 | — | 6 | 2 | no | — |
| 792 | Dic6 | — | 6 | 1 | no | — |
| 793 | Dic6 | — | 6 | 1 | no | — |
| 794 | Dic6 | — | 12 | 1 | no | — |
| 795 | C3×C8 | — | 9 | 2 | no | — |
| 796 | C3×C8 | — | 9 | 2 | no | — |
| 797 | C3⋊C8 | — | 3 | 2 | no | — |
| 798 | C3⋊C8 | — | 3 | 2 | no | — |
| 799 | C3⋊C8 | — | 3 | 2 | no | — |
| 800 | C3⋊C8 | — | 3 | 2 | no | — |
| 801 | C3⋊C8 | — | 6 | 2 | no | — |
| 802 | C3⋊C8 | — | 6 | 2 | no | — |
| 803 | C2×C32 | — | 2 | 1 | no | — |
| 804 | C2×C32 | — | 2 | 1 | no | — |
| 805 | C2×C32 | — | 2 | 1 | no | — |
| 806 | C2×C32 | — | 2 | 1 | no | — |
| 807 | C2×C32 | — | 2 | 1 | no | — |
| 808 | C2×C32 | — | 2 | 1 | no | — |
| 809 | C2×C32 | — | 4 | 1 | no | — |
| 810 | C2×C32 | — | 4 | 1 | no | — |
| 811 | C2×C32 | — | 4 | 1 | no | — |
| 812 | C2×C32 | — | 4 | 1 | no | — |
| 813 | C2×C32 | — | 4 | 1 | no | — |
| 814 | C2×C32 | — | 4 | 2 | no | — |
| 815 | C2×C32 | — | 4 | 1 | no | — |
| 816 | C2×C32 | — | 4 | 1 | no | — |
| 817 | C2×C32 | — | 8 | 1 | no | — |
| 818 | C2×C32 | — | 8 | 1 | no | — |
| 819 | C2×C32 | — | 8 | 1 | no | — |
| 820 | C2×C32 | — | 8 | 2 | no | — |
| 821 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 822 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 823 | C2×C32 | C22×#67 | 1 | 1 | yes | characteristic |
| 824 | C3⋊D3 | — | 2 | 1 | no | — |
| 825 | C3⋊D3 | — | 2 | 1 | no | — |
| 826 | C3⋊D3 | — | 4 | 1 | no | — |
| 827 | C3⋊D3 | — | 4 | 2 | no | — |
| 828 | C3×D3 | — | 6 | 2 | no | — |
| 829 | C3×D3 | — | 6 | 1 | no | — |
| 830 | C3×D3 | — | 6 | 1 | no | — |
| 831 | C3×D3 | — | 6 | 1 | no | — |
| 832 | C3×D3 | — | 6 | 1 | no | — |
| 833 | C3×D3 | — | 12 | 1 | no | — |
| 834 | C3×D3 | — | 12 | 2 | no | — |
| 835 | C3×D3 | — | 12 | 1 | no | — |
| 836 | C3×D3 | — | 12 | 1 | no | — |
| 837 | C3×D3 | — | 12 | 2 | no | — |
| 838 | C3×D3 | — | 12 | 2 | no | — |
| 839 | C3×D3 | — | 24 | 2 | no | — |
| 840 | #41 | — | 9 | 1 | no | — |
| 841 | #41 | — | 9 | 1 | no | — |
| 842 | #41 | — | 9 | 1 | no | — |
| 843 | #41 | — | 18 | 1 | no | — |
| 844 | #41 | — | 18 | 1 | no | — |
| 845 | #41 | — | 27 | 2 | no | — |
| 846 | #41 | — | 27 | 2 | no | — |
| 847 | #41 | — | 54 | 1 | no | — |
| 848 | #41 | — | 54 | 1 | no | — |
| 849 | #41 | #1113 | 1 | 1 | yes | characteristic |
| 850 | C2×Q8 | — | 9 | 1 | no | — |
| 851 | C2×Q8 | — | 9 | 1 | no | — |
| 852 | C2×D4 | — | 9 | 1 | no | — |
| 853 | C2×D4 | — | 9 | 1 | no | — |
| 854 | C2×D4 | — | 18 | 1 | no | — |
| 855 | C2×D4 | — | 54 | 1 | no | — |
| 856 | C22×C4 | — | 9 | 1 | no | — |
| 857 | C22×C4 | — | 18 | 1 | no | — |
| 858 | C22×C4 | — | 54 | 1 | no | — |
| 859 | Q16 | — | 9 | 2 | no | — |
| 860 | Q16 | — | 27 | 2 | no | — |
| 861 | SD16 | — | 9 | 2 | no | — |
| 862 | SD16 | — | 9 | 2 | no | — |
| 863 | SD16 | — | 27 | 2 | no | — |
| 864 | SD16 | — | 27 | 2 | no | — |
| 865 | D8 | — | 9 | 2 | no | — |
| 866 | D8 | — | 27 | 2 | no | — |
| 867 | M16 | — | 9 | 1 | no | — |
| 868 | M16 | — | 9 | 1 | no | — |
| 869 | M16 | — | 27 | 2 | no | — |
| 870 | C2×C8 | — | 27 | 2 | no | — |
| 871 | C22×C3 | — | 2 | 2 | no | — |
| 872 | C22×C3 | — | 2 | 1 | no | — |
| 873 | C22×C3 | — | 2 | 1 | no | — |
| 874 | C22×C3 | — | 2 | 1 | no | — |
| 875 | C22×C3 | — | 2 | 1 | no | — |
| 876 | C22×C3 | — | 2 | 1 | no | — |
| 877 | C22×C3 | — | 2 | 1 | no | — |
| 878 | C22×C3 | — | 4 | 1 | no | — |
| 879 | C22×C3 | — | 4 | 1 | no | — |
| 880 | C22×C3 | — | 4 | 2 | no | — |
| 881 | C22×C3 | — | 4 | 1 | no | — |
| 882 | C22×C3 | — | 9 | 1 | no | — |
| 883 | C22×C3 | — | 9 | 1 | no | — |
| 884 | C22×C3 | — | 18 | 2 | no | — |
| 885 | C22×C3 | — | 18 | 1 | no | — |
| 886 | C22×C3 | — | 36 | 1 | no | — |
| 887 | C22×C3 | — | 36 | 2 | no | — |
| 888 | C22×C3 | — | 36 | 2 | no | — |
| 889 | C22×C3 | D3×#67 | 1 | 1 | yes | characteristic |
| 890 | C22×C3 | D3×#67 | 1 | 1 | yes | characteristic |
| 891 | C22×C3 | #3811 | 1 | 1 | yes | characteristic |
| 892 | C2×D3 | — | 3 | 1 | no | — |
| 893 | C2×D3 | — | 3 | 1 | no | — |
| 894 | C2×D3 | — | 3 | 1 | no | — |
| 895 | C2×D3 | — | 3 | 1 | no | — |
| 896 | C2×D3 | — | 6 | 1 | no | — |
| 897 | C2×D3 | — | 6 | 1 | no | — |
| 898 | C2×D3 | — | 6 | 2 | no | — |
| 899 | C2×D3 | — | 6 | 1 | no | — |
| 900 | C2×D3 | — | 6 | 1 | no | — |
| 901 | C2×D3 | — | 6 | 2 | no | — |
| 902 | C2×D3 | — | 6 | 2 | no | — |
| 903 | C2×D3 | — | 12 | 2 | no | — |
| 904 | C2×D3 | — | 12 | 1 | no | — |
| 905 | C2×D3 | — | 12 | 1 | no | — |
| 906 | C2×D3 | — | 12 | 2 | no | — |
| 907 | C2×D3 | — | 12 | 4 | no | — |
| 908 | C2×D3 | — | 12 | 2 | no | — |
| 909 | C2×D3 | — | 12 | 2 | no | — |
| 910 | C2×D3 | — | 12 | 2 | no | — |
| 911 | C2×D3 | — | 12 | 2 | no | — |
| 912 | C2×D3 | — | 24 | 2 | no | — |
| 913 | C3×C4 | — | 2 | 2 | no | — |
| 914 | C3×C4 | — | 2 | 1 | no | — |
| 915 | C3×C4 | — | 2 | 1 | no | — |
| 916 | C3×C4 | — | 2 | 1 | no | — |
| 917 | C3×C4 | — | 2 | 1 | no | — |
| 918 | C3×C4 | — | 2 | 1 | no | — |
| 919 | C3×C4 | — | 2 | 1 | no | — |
| 920 | C3×C4 | — | 2 | 1 | no | — |
| 921 | C3×C4 | — | 2 | 1 | no | — |
| 922 | C3×C4 | — | 2 | 1 | no | — |
| 923 | C3×C4 | — | 4 | 1 | no | — |
| 924 | C3×C4 | — | 4 | 1 | no | — |
| 925 | C3×C4 | — | 4 | 2 | no | — |
| 926 | C3×C4 | — | 4 | 1 | no | — |
| 927 | C3×C4 | — | 4 | 1 | no | — |
| 928 | C3×C4 | — | 9 | 1 | no | — |
| 929 | C3×C4 | — | 9 | 1 | no | — |
| 930 | C3×C4 | — | 18 | 2 | no | — |
| 931 | C3×C4 | — | 18 | 1 | no | — |
| 932 | C3×C4 | D3×#67 | 1 | 1 | yes | characteristic |
| 933 | C3×C4 | D3×#67 | 1 | 1 | yes | characteristic |
| 934 | C3×C4 | #3811 | 1 | 1 | yes | characteristic |
| 935 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 936 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 937 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 938 | Dic3 | — | 3 | 1 | no | — |
| 939 | Dic3 | — | 3 | 1 | no | — |
| 940 | Dic3 | — | 3 | 1 | no | — |
| 941 | Dic3 | — | 3 | 1 | no | — |
| 942 | Dic3 | — | 6 | 1 | no | — |
| 943 | Dic3 | — | 6 | 1 | no | — |
| 944 | Dic3 | — | 6 | 2 | no | — |
| 945 | Dic3 | — | 6 | 1 | no | — |
| 946 | Dic3 | — | 6 | 1 | no | — |
| 947 | Dic3 | — | 6 | 2 | no | — |
| 948 | Dic3 | — | 6 | 2 | no | — |
| 949 | Dic3 | — | 12 | 2 | no | — |
| 950 | C32 | — | 2 | 1 | no | — |
| 951 | C32 | — | 2 | 1 | no | — |
| 952 | C32 | — | 2 | 1 | no | — |
| 953 | C32 | — | 4 | 1 | no | — |
| 954 | C32 | #5773 | 1 | 1 | yes | characteristic, complemented |
| 955 | C32 | #5777 | 1 | 1 | yes | characteristic, complemented |
| 956 | C32 | #5822 | 1 | 1 | yes | characteristic, complemented |
| 957 | C23 | — | 9 | 1 | no | — |
| 958 | C23 | — | 18 | 1 | no | — |
| 959 | C23 | — | 18 | 1 | no | — |
| 960 | Q8 | — | 9 | 2 | no | — |
| 961 | Q8 | — | 9 | 1 | no | — |
| 962 | Q8 | — | 18 | 1 | no | — |
| 963 | Q8 | — | 18 | 1 | no | — |
| 964 | Q8 | C2×#1113 | 1 | 1 | yes | characteristic |
| 965 | D4 | — | 2 | 1 | no | — |
| 966 | D4 | — | 9 | 2 | no | — |
| 967 | D4 | — | 9 | 1 | no | — |
| 968 | D4 | — | 18 | 1 | no | — |
| 969 | D4 | — | 18 | 1 | no | — |
| 970 | D4 | — | 18 | 1 | no | — |
| 971 | D4 | — | 18 | 1 | no | — |
| 972 | D4 | — | 18 | 1 | no | — |
| 973 | D4 | — | 54 | 2 | no | — |
| 974 | D4 | — | 54 | 2 | no | — |
| 975 | D4 | C2×#1113 | 1 | 1 | yes | characteristic |
| 976 | C2×C4 | — | 2 | 1 | no | — |
| 977 | C2×C4 | — | 9 | 1 | no | — |
| 978 | C2×C4 | — | 9 | 1 | no | — |
| 979 | C2×C4 | — | 9 | 1 | no | — |
| 980 | C2×C4 | — | 9 | 1 | no | — |
| 981 | C2×C4 | — | 9 | 1 | no | — |
| 982 | C2×C4 | — | 18 | 1 | no | — |
| 983 | C2×C4 | — | 18 | 1 | no | — |
| 984 | C2×C4 | — | 18 | 1 | no | — |
| 985 | C2×C4 | — | 18 | 1 | no | — |
| 986 | C2×C4 | — | 18 | 1 | no | — |
| 987 | C2×C4 | — | 54 | 2 | no | — |
| 988 | C2×C4 | — | 54 | 2 | no | — |
| 989 | C2×C4 | C2×#1113 | 1 | 1 | yes | characteristic |
| 990 | C8 | — | 9 | 2 | no | — |
| 991 | C8 | — | 9 | 2 | no | — |
| 992 | C2×C3 | — | 2 | 1 | no | — |
| 993 | C2×C3 | — | 2 | 1 | no | — |
| 994 | C2×C3 | — | 2 | 1 | no | — |
| 995 | C2×C3 | — | 2 | 1 | no | — |
| 996 | C2×C3 | — | 2 | 1 | no | — |
| 997 | C2×C3 | — | 2 | 1 | no | — |
| 998 | C2×C3 | — | 4 | 1 | no | — |
| 999 | C2×C3 | — | 4 | 1 | no | — |
| 1000 | C2×C3 | — | 4 | 1 | no | — |
| 1001 | C2×C3 | — | 4 | 2 | no | — |
| 1002 | C2×C3 | — | 4 | 1 | no | — |
| 1003 | C2×C3 | — | 4 | 1 | no | — |
| 1004 | C2×C3 | — | 4 | 1 | no | — |
| 1005 | C2×C3 | — | 4 | 1 | no | — |
| 1006 | C2×C3 | — | 8 | 1 | no | — |
| 1007 | C2×C3 | — | 8 | 1 | no | — |
| 1008 | C2×C3 | — | 8 | 1 | no | — |
| 1009 | C2×C3 | — | 8 | 2 | no | — |
| 1010 | C2×C3 | — | 18 | 1 | no | — |
| 1011 | C2×C3 | — | 18 | 1 | no | — |
| 1012 | C2×C3 | — | 36 | 2 | no | — |
| 1013 | C2×C3 | — | 36 | 1 | no | — |
| 1014 | C2×C3 | C2×D3×#67 | 1 | 1 | yes | characteristic |
| 1015 | C2×C3 | C2×D3×#67 | 1 | 1 | yes | characteristic |
| 1016 | C2×C3 | C2×#3811 | 1 | 1 | yes | characteristic |
| 1017 | D3 | — | 6 | 2 | no | — |
| 1018 | D3 | — | 6 | 1 | no | — |
| 1019 | D3 | — | 6 | 1 | no | — |
| 1020 | D3 | — | 6 | 1 | no | — |
| 1021 | D3 | — | 6 | 1 | no | — |
| 1022 | D3 | — | 12 | 1 | no | — |
| 1023 | D3 | — | 12 | 2 | no | — |
| 1024 | D3 | — | 12 | 1 | no | — |
| 1025 | D3 | — | 12 | 2 | no | — |
| 1026 | D3 | — | 12 | 1 | no | — |
| 1027 | D3 | — | 12 | 2 | no | — |
| 1028 | D3 | — | 24 | 2 | no | — |
| 1029 | C22 | — | 2 | 1 | no | — |
| 1030 | C22 | — | 9 | 1 | no | — |
| 1031 | C22 | — | 9 | 1 | no | — |
| 1032 | C22 | — | 18 | 1 | no | — |
| 1033 | C22 | — | 18 | 2 | no | — |
| 1034 | C22 | — | 36 | 1 | no | — |
| 1035 | C22 | — | 36 | 2 | no | — |
| 1036 | C22 | — | 36 | 2 | no | — |
| 1037 | C22 | #89049 | 1 | 1 | yes | characteristic |
| 1038 | C4 | — | 2 | 1 | no | — |
| 1039 | C4 | — | 9 | 1 | no | — |
| 1040 | C4 | — | 9 | 1 | no | — |
| 1041 | C4 | — | 18 | 1 | no | — |
| 1042 | C4 | — | 18 | 2 | no | — |
| 1043 | C4 | #89049 | 1 | 1 | yes | characteristic |
| 1044 | C4 | C22×#1113 | 1 | 1 | yes | characteristic |
| 1045 | C3 | — | 2 | 1 | no | — |
| 1046 | C3 | — | 2 | 1 | no | — |
| 1047 | C3 | — | 2 | 1 | no | — |
| 1048 | C3 | — | 4 | 1 | no | — |
| 1049 | C3 | #10595469 | 1 | 1 | yes | characteristic, complemented |
| 1050 | C3 | #10595470 | 1 | 1 | yes | characteristic, complemented |
| 1051 | C3 | #10595471 | 1 | 1 | yes | characteristic, complemented |
| 1052 | C2 | — | 2 | 1 | no | — |
| 1053 | C2 | — | 4 | 1 | no | — |
| 1054 | C2 | — | 18 | 1 | no | — |
| 1055 | C2 | — | 18 | 1 | no | — |
| 1056 | C2 | — | 36 | 1 | no | — |
| 1057 | C2 | — | 36 | 2 | no | — |
| 1058 | C2 | C2×#89049 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C2×#89049 |
| commutator, cosocle | C33×C4 | C24 |
| Frattini | C4 | C22×#1113 |
| Fitting | C33×#41 | C22 |
| socle | C2×C33 | C22×D4 |
| hypercenter | #41 | #1113 |
| hypocenter | C33 | #575 |
| LCS | G ▷ C33×C4 ▷ C2×C33 ▷ C33 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ #41 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3×#41×C3⋊D3 | C2 | semidirect |
| 2. C2×#89041 | C2 | semidirect |
| 3. C3×#64160 | C2 | semidirect |
| 4. C3×#64158 | C2 | semidirect |
| 5. #11723713 | C2 | semidirect |
| 6. #11723712 | C2 | semidirect |
| 7. #11723707 | C2 | semidirect |
| 8. #11723706 | C2 | semidirect |
| 9. #11723663 | C2 | semidirect |
| 10. #11723661 | C2 | semidirect |
| 11. #11723656 | C2 | semidirect |
| 16. C3×#3832 | C22 | semidirect |
| 17. C3×Q8×C3⋊D3 | C22 | semidirect |
| 19. C3×#3830 | C22 | semidirect |
| 21. C3×D4×C3⋊D3 | C22 | semidirect |
| 24. C2×C3×C4⋊(C3⋊D3) | C22 | semidirect |
| 27. C2×C3×#634 | C22 | semidirect |
| 33. #89041 | C22 | semidirect |
| 34. C3×#3756 | C22 | semidirect |
| 35. C3×#3755 | C22 | semidirect |
| 36. C3×#3754 | C22 | semidirect |
| 37. C3×#3753 | C22 | semidirect |
| 38. C3×#3748 | C22 | semidirect |
| 39. C3×#3748 | C22 | semidirect |
| 40. #88812 | C22 | semidirect |
| 41. #88811 | C22 | semidirect |
| 42. #88811 | C22 | semidirect |
| 43. #88810 | C22 | semidirect |
| 44. #88809 | C22 | semidirect |
| 45. #88808 | C22 | semidirect |
| 46. #41×C3⋊D3 | D3 | semidirect |
| 53. #64160 | D3 | semidirect |
| 54. #64158 | D3 | semidirect |
| 127. #3832 | C2×D3 | semidirect |
| 128. Q8×C3⋊D3 | C2×D3 | semidirect |
| 130. #3830 | C2×D3 | semidirect |
| 132. D4×C3⋊D3 | C2×D3 | semidirect |
| 135. C2×C4⋊(C3⋊D3) | C2×D3 | semidirect |
| 138. C2×#634 | C2×D3 | semidirect |
| 193. #3756 | C2×D3 | semidirect |
| 194. #3755 | C2×D3 | semidirect |
| 195. #3754 | C2×D3 | semidirect |
| 196. #3753 | C2×D3 | semidirect |
| 197. #3748 | C2×D3 | semidirect |
| 198. #3748 | C2×D3 | semidirect |
| 651. C33 | #575 | semidirect |
| 954. C32 | #5773 | semidirect |
| 955. C32 | #5777 | semidirect |
| 956. C32 | #5822 | semidirect |
| 1049. C3 | #10595469 | semidirect |
| 1050. C3 | #10595470 | semidirect |
| 1051. C3 | #10595471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#41×C3⋊D3 | 2 |
| C2×#89041 | 2 |
| C3×#64160 | 2 |
| C3×#64158 | 2 |
| #11723713 | 2 |
| #11723712 | 2 |
| #11723707 | 2 |
| #11723706 | 2 |
| #11723663 | 2 |
| #11723661 | 2 |
| #11723656 | 2 |
| #10595471 | 3 |
| #10595470 | 3 |
| #10595469 | 3 |