Finite Group DatabasebetaFinite Group DatabasebetaOrder 1728.
1294 conjugacy classes of subgroups.
The subgroup lattice has 1286 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11724385 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11724381 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11723648 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11723342 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11723334 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11723322 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#63798 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C3×#63795 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C3×#63794 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11722878 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11722877 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11722859 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11722851 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11722831 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | D3×#3713 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10594750 | — | 3 | 1 | no | maximal |
| 17 | #10594735 | — | 3 | 1 | no | maximal |
| 18 | #10594720 | — | 3 | 1 | no | maximal |
| 19 | C4⋊#1113 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #89041 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #89026 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #89026 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #89020 | C22 | 1 | 1 | yes | characteristic |
| 24 | #89017 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #89015 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C3×#3802 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C3×D3×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×D3×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C3×#3799 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C3×#3796 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3×#3795 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #88961 | — | 2 | 1 | no | — |
| 33 | #88960 | — | 2 | 1 | no | — |
| 34 | #88955 | — | 2 | 1 | no | — |
| 35 | #88953 | — | 2 | 1 | no | — |
| 36 | #88952 | — | 2 | 1 | no | — |
| 37 | D3×#626 | — | 2 | 1 | no | — |
| 38 | D3×#626 | — | 2 | 1 | no | — |
| 39 | D3×#625 | — | 2 | 1 | no | — |
| 40 | C8×C3⋊(C3⋊D3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C3×#3745 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C3×#3744 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C3×#3743 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C32×D24 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C32×#204 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C32×ΓL(1,𝔽25) | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #88811 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #88810 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #88798 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #88789 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #88789 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #88789 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #88788 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C3⋊D3×C3⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | D3×C3⋊(C3⋊C8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C3×#3717 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C3×#3716 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C3×#3715 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C3×#3714 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C3×#3714 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | C3×#3713 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #64320 | — | 3 | 1 | no | — |
| 63 | #64314 | — | 3 | 1 | no | — |
| 64 | #64314 | — | 3 | 1 | no | — |
| 65 | #64313 | — | 3 | 1 | no | — |
| 66 | #64307 | — | 3 | 1 | no | — |
| 67 | #64307 | — | 3 | 1 | no | — |
| 68 | #64125 | — | 3 | 1 | no | — |
| 69 | D8×C3⋊D3 | — | 3 | 1 | no | — |
| 70 | #64116 | — | 3 | 1 | no | — |
| 71 | C3×#914 | — | 3 | 1 | no | — |
| 72 | C3×#914 | — | 3 | 1 | no | — |
| 73 | C3×#911 | — | 3 | 1 | no | — |
| 74 | C3×#911 | — | 3 | 1 | no | — |
| 75 | C3×#908 | — | 3 | 1 | no | — |
| 76 | C3×#908 | — | 3 | 1 | no | — |
| 77 | #63947 | — | 3 | 1 | no | — |
| 78 | #63947 | — | 3 | 1 | no | — |
| 79 | #63941 | — | 3 | 1 | no | — |
| 80 | #63937 | — | 3 | 1 | no | — |
| 81 | #63937 | — | 3 | 1 | no | — |
| 82 | #63935 | — | 3 | 1 | no | — |
| 83 | #63935 | — | 3 | 1 | no | — |
| 84 | #63927 | — | 3 | 1 | no | — |
| 85 | D3×#213 | — | 3 | 1 | no | — |
| 86 | D3×#213 | — | 3 | 1 | no | — |
| 87 | D3×#213 | — | 3 | 1 | no | — |
| 88 | D3×#213 | — | 3 | 1 | no | — |
| 89 | #63822 | — | 3 | 1 | no | — |
| 90 | C2×#3713 | — | 3 | 1 | no | — |
| 91 | #63809 | — | 3 | 1 | no | — |
| 92 | #63809 | — | 3 | 1 | no | — |
| 93 | #63809 | — | 3 | 1 | no | — |
| 94 | #63809 | — | 6 | 1 | no | — |
| 95 | #63805 | — | 3 | 1 | no | — |
| 96 | #63805 | — | 3 | 1 | no | — |
| 97 | #63805 | — | 6 | 1 | no | — |
| 98 | #63798 | — | 3 | 1 | no | — |
| 99 | #63798 | — | 3 | 1 | no | — |
| 100 | #63798 | — | 3 | 1 | no | — |
| 101 | #63798 | D3 | 1 | 1 | yes | characteristic, complemented |
| 102 | #63797 | — | 3 | 1 | no | — |
| 103 | #63797 | — | 3 | 1 | no | — |
| 104 | #63797 | — | 3 | 1 | no | — |
| 105 | #63797 | — | 6 | 1 | no | — |
| 106 | #63795 | — | 3 | 1 | no | — |
| 107 | #63795 | D3 | 1 | 1 | yes | characteristic, complemented |
| 108 | #63794 | — | 3 | 1 | no | — |
| 109 | #63794 | D3 | 1 | 1 | yes | characteristic, complemented |
| 110 | C2×#1113 | — | 2 | 1 | no | — |
| 111 | C2×D3×C3⋊D3 | — | 2 | 1 | no | — |
| 112 | C2×D3×C3⋊D3 | — | 2 | 1 | no | — |
| 113 | C2×C3×D32 | — | 2 | 1 | no | — |
| 114 | C2×C3×D32 | — | 2 | 1 | no | — |
| 115 | C2×C3×D32 | — | 2 | 1 | no | — |
| 116 | C4×C3⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 117 | C3×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 118 | C3×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 119 | C3×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 120 | C3×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 121 | C3×#634 | C23 | 1 | 1 | yes | characteristic |
| 122 | C32×D12 | C23 | 1 | 1 | yes | characteristic |
| 123 | C32×D12 | C23 | 1 | 1 | yes | characteristic |
| 124 | C32×D12 | C23 | 1 | 1 | yes | characteristic |
| 125 | C32×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 126 | C32×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 127 | #6295 | — | 2 | 1 | no | — |
| 128 | #6295 | — | 2 | 1 | no | — |
| 129 | #6294 | — | 2 | 1 | no | — |
| 130 | #6293 | D4 | 1 | 1 | yes | characteristic |
| 131 | #6292 | — | 2 | 1 | no | — |
| 132 | #6292 | D4 | 1 | 1 | yes | characteristic |
| 133 | #6291 | — | 2 | 1 | no | — |
| 134 | #6291 | D4 | 1 | 1 | yes | characteristic |
| 135 | #6290 | — | 2 | 1 | no | — |
| 136 | #6290 | — | 2 | 1 | no | — |
| 137 | #6290 | D4 | 1 | 1 | yes | characteristic |
| 138 | Dic3×C3⋊D3 | — | 2 | 1 | no | — |
| 139 | D3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 140 | C3×#626 | — | 2 | 1 | no | — |
| 141 | C3×#626 | — | 2 | 1 | no | — |
| 142 | C3×#626 | — | 2 | 1 | no | — |
| 143 | C3×#626 | — | 2 | 1 | no | — |
| 144 | C3×#625 | — | 2 | 1 | no | — |
| 145 | C3×#625 | — | 2 | 1 | no | — |
| 146 | C3×#624 | — | 2 | 1 | no | — |
| 147 | C3×D3×Dic3 | — | 2 | 1 | no | — |
| 148 | C3×D3×Dic3 | — | 2 | 1 | no | — |
| 149 | C33×C8 | C23 | 1 | 1 | yes | characteristic |
| 150 | C3⋊(C3⋊(C3⋊C8)) | C23 | 1 | 1 | yes | characteristic |
| 151 | C3×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 152 | C32×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 153 | #5774 | — | 9 | 1 | no | — |
| 154 | #5774 | — | 9 | 1 | no | — |
| 155 | #5774 | — | 9 | 1 | no | — |
| 156 | #3832 | — | 3 | 1 | no | — |
| 157 | #3830 | — | 3 | 1 | no | — |
| 158 | D4×C3⋊D3 | — | 3 | 1 | no | — |
| 159 | D4×C3⋊D3 | — | 3 | 1 | no | — |
| 160 | #3828 | — | 3 | 1 | no | — |
| 161 | C3×#239 | — | 3 | 1 | no | — |
| 162 | C3×#239 | — | 3 | 1 | no | — |
| 163 | C3×#237 | — | 3 | 1 | no | — |
| 164 | C3×#237 | — | 3 | 1 | no | — |
| 165 | C3×D3×D4 | — | 3 | 1 | no | — |
| 166 | C3×D3×D4 | — | 3 | 1 | no | — |
| 167 | C3×D3×D4 | — | 3 | 1 | no | — |
| 168 | C3×D3×D4 | — | 3 | 1 | no | — |
| 169 | C3×#235 | — | 3 | 1 | no | — |
| 170 | C3×#235 | — | 3 | 1 | no | — |
| 171 | C2×C3×D12 | — | 3 | 1 | no | — |
| 172 | C2×C3×D12 | — | 3 | 1 | no | — |
| 173 | #3811 | — | 6 | 1 | no | — |
| 174 | #3811 | — | 6 | 1 | no | — |
| 175 | D3×#67 | — | 6 | 1 | no | — |
| 176 | D3×#67 | — | 6 | 1 | no | — |
| 177 | D3×#67 | — | 6 | 1 | no | — |
| 178 | D3×#67 | — | 6 | 1 | no | — |
| 179 | D3×#67 | — | 6 | 1 | no | — |
| 180 | D3×#67 | — | 6 | 1 | no | — |
| 181 | D3×#67 | — | 6 | 1 | no | — |
| 182 | D3×#67 | — | 6 | 1 | no | — |
| 183 | C2×#626 | — | 6 | 1 | no | — |
| 184 | C2×#626 | — | 6 | 1 | no | — |
| 185 | C2×#625 | — | 6 | 1 | no | — |
| 186 | #3805 | — | 6 | 1 | no | — |
| 187 | #3804 | — | 6 | 1 | no | — |
| 188 | #3804 | — | 6 | 1 | no | — |
| 189 | #3802 | — | 3 | 1 | no | — |
| 190 | #3802 | — | 3 | 1 | no | — |
| 191 | #3802 | — | 3 | 1 | no | — |
| 192 | #3802 | — | 3 | 1 | no | — |
| 193 | #3802 | — | 3 | 1 | no | — |
| 194 | #3802 | — | 6 | 1 | no | — |
| 195 | #3802 | — | 6 | 1 | no | — |
| 196 | #3802 | — | 6 | 1 | no | — |
| 197 | #3802 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 198 | D3×D12 | — | 3 | 1 | no | — |
| 199 | D3×D12 | — | 3 | 1 | no | — |
| 200 | D3×D12 | — | 6 | 1 | no | — |
| 201 | D3×D12 | — | 6 | 1 | no | — |
| 202 | D3×D12 | — | 6 | 1 | no | — |
| 203 | D3×D12 | — | 6 | 1 | no | — |
| 204 | D3×D12 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 205 | D3×D12 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 206 | #3799 | — | 3 | 1 | no | — |
| 207 | #3799 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 208 | #3798 | — | 3 | 1 | no | — |
| 209 | #3798 | — | 3 | 1 | no | — |
| 210 | #3798 | — | 6 | 1 | no | — |
| 211 | #3798 | — | 6 | 1 | no | — |
| 212 | #3796 | — | 3 | 1 | no | — |
| 213 | #3796 | — | 3 | 1 | no | — |
| 214 | #3796 | — | 3 | 1 | no | — |
| 215 | #3796 | — | 3 | 1 | no | — |
| 216 | #3796 | — | 3 | 1 | no | — |
| 217 | #3796 | — | 6 | 1 | no | — |
| 218 | #3796 | — | 6 | 1 | no | — |
| 219 | #3796 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 220 | #3795 | — | 3 | 1 | no | — |
| 221 | #3795 | — | 6 | 1 | no | — |
| 222 | #3795 | — | 6 | 1 | no | — |
| 223 | #3795 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 224 | C32×SD16 | — | 3 | 1 | no | — |
| 225 | C32×D8 | — | 3 | 1 | no | — |
| 226 | C32×M16 | — | 3 | 1 | no | — |
| 227 | #3756 | — | 3 | 1 | no | — |
| 228 | #3753 | — | 3 | 1 | no | — |
| 229 | #3753 | — | 3 | 1 | no | — |
| 230 | #3753 | — | 3 | 1 | no | — |
| 231 | C2×C3⋊(C3⋊C8) | — | 3 | 1 | no | — |
| 232 | #3745 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 233 | #3744 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 234 | #3743 | — | 3 | 1 | no | — |
| 235 | #3743 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 236 | C8×C3⋊D3 | — | 3 | 1 | no | — |
| 237 | C8×C3⋊D3 | — | 3 | 1 | no | — |
| 238 | C8×C3⋊D3 | — | 3 | 1 | no | — |
| 239 | C8×C3⋊D3 | — | 3 | 1 | no | — |
| 240 | C8×C3⋊D3 | — | 6 | 1 | no | — |
| 241 | C8×C3⋊D3 | — | 6 | 1 | no | — |
| 242 | C8×C3⋊D3 | — | 6 | 1 | no | — |
| 243 | C8×C3⋊D3 | — | 12 | 1 | no | — |
| 244 | C3×#215 | — | 3 | 1 | no | — |
| 245 | C3×#215 | — | 3 | 1 | no | — |
| 246 | C3×#214 | — | 3 | 1 | no | — |
| 247 | C3×#214 | — | 3 | 1 | no | — |
| 248 | C3×#213 | — | 3 | 1 | no | — |
| 249 | C3×#213 | — | 3 | 1 | no | — |
| 250 | C3×#213 | — | 3 | 1 | no | — |
| 251 | C3×#213 | — | 3 | 1 | no | — |
| 252 | C3×D24 | — | 2 | 1 | no | — |
| 253 | C3×D24 | — | 3 | 1 | no | — |
| 254 | C3×D24 | — | 3 | 1 | no | — |
| 255 | C3×D24 | — | 3 | 1 | no | — |
| 256 | C3×D24 | — | 3 | 1 | no | — |
| 257 | C3×D24 | — | 6 | 1 | no | — |
| 258 | C3×D24 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 259 | C3×D24 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 260 | C3×#204 | — | 2 | 1 | no | — |
| 261 | C3×#204 | — | 3 | 1 | no | — |
| 262 | C3×#204 | — | 3 | 1 | no | — |
| 263 | C3×#204 | — | 3 | 1 | no | — |
| 264 | C3×#204 | — | 3 | 1 | no | — |
| 265 | C3×#204 | — | 6 | 1 | no | — |
| 266 | C3×#204 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 267 | C3×#204 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 268 | C3×ΓL(1,𝔽25) | — | 2 | 1 | no | — |
| 269 | C3×ΓL(1,𝔽25) | — | 3 | 1 | no | — |
| 270 | C3×ΓL(1,𝔽25) | — | 3 | 1 | no | — |
| 271 | C3×ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 272 | C3×ΓL(1,𝔽25) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 273 | C3×ΓL(1,𝔽25) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 274 | #3718 | — | 3 | 1 | no | — |
| 275 | #3718 | — | 3 | 1 | no | — |
| 276 | #3718 | — | 6 | 1 | no | — |
| 277 | #3717 | — | 3 | 1 | no | — |
| 278 | #3717 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 279 | #3716 | — | 3 | 1 | no | — |
| 280 | #3716 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 281 | #3715 | — | 3 | 1 | no | — |
| 282 | #3715 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 283 | #3714 | — | 3 | 1 | no | — |
| 284 | #3714 | — | 3 | 1 | no | — |
| 285 | #3714 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 286 | #3714 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 287 | #3713 | — | 3 | 1 | no | — |
| 288 | #3713 | — | 3 | 1 | no | — |
| 289 | #3713 | — | 3 | 1 | no | — |
| 290 | #3713 | — | 3 | 1 | no | — |
| 291 | #3713 | — | 3 | 1 | no | — |
| 292 | #3713 | — | 3 | 1 | no | — |
| 293 | #3713 | — | 3 | 1 | no | — |
| 294 | #3713 | — | 6 | 1 | no | — |
| 295 | #3713 | — | 6 | 1 | no | — |
| 296 | #3713 | — | 6 | 1 | no | — |
| 297 | #3713 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 298 | #3712 | — | 3 | 1 | no | — |
| 299 | #3712 | — | 3 | 1 | no | — |
| 300 | #3712 | — | 6 | 1 | no | — |
| 301 | D3×C3⋊C8 | — | 3 | 1 | no | — |
| 302 | D3×C3⋊C8 | — | 3 | 1 | no | — |
| 303 | D3×C3⋊C8 | — | 3 | 1 | no | — |
| 304 | D3×C3⋊C8 | — | 3 | 1 | no | — |
| 305 | D3×C3⋊C8 | — | 6 | 1 | no | — |
| 306 | D3×C3⋊C8 | — | 6 | 1 | no | — |
| 307 | C2×C3⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 308 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 309 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 310 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 311 | C2×C3×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 312 | C2×C32×D3 | — | 2 | 1 | no | — |
| 313 | C2×C32×D3 | — | 2 | 1 | no | — |
| 314 | C2×C32×D3 | — | 2 | 1 | no | — |
| 315 | C2×C32×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 316 | #1113 | — | 8 | 1 | no | — |
| 317 | D3×C3⋊D3 | — | 8 | 1 | no | — |
| 318 | D3×C3⋊D3 | — | 8 | 1 | no | — |
| 319 | C3×D32 | — | 8 | 1 | no | — |
| 320 | C3×D32 | — | 8 | 1 | no | — |
| 321 | C3×D32 | — | 8 | 1 | no | — |
| 322 | C33×C4 | C24 | 1 | 1 | yes | characteristic |
| 323 | C3⋊(C3⋊Dic3) | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 325 | C3×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 326 | C32×Dic3 | — | 2 | 1 | no | — |
| 327 | C32×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 328 | #1009 | — | 9 | 1 | no | — |
| 329 | #1009 | — | 9 | 1 | no | — |
| 330 | #1009 | — | 9 | 1 | no | — |
| 331 | #1004 | — | 9 | 1 | no | — |
| 332 | #1004 | — | 9 | 1 | no | — |
| 333 | #1004 | — | 9 | 1 | no | — |
| 334 | C3×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 335 | C3×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 336 | C3×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 337 | #950 | — | 9 | 1 | no | — |
| 338 | #950 | — | 9 | 1 | no | — |
| 339 | #950 | — | 9 | 1 | no | — |
| 340 | C2×#213 | — | 9 | 1 | no | — |
| 341 | C2×#213 | — | 9 | 1 | no | — |
| 342 | C2×#213 | — | 9 | 1 | no | — |
| 343 | #916 | — | 9 | 1 | no | — |
| 344 | #916 | — | 9 | 1 | no | — |
| 345 | #916 | — | 9 | 1 | no | — |
| 346 | #916 | — | 9 | 1 | no | — |
| 347 | #916 | — | 9 | 1 | no | — |
| 348 | #916 | — | 9 | 1 | no | — |
| 349 | #916 | — | 18 | 1 | no | — |
| 350 | #914 | — | 3 | 1 | no | — |
| 351 | #914 | — | 3 | 1 | no | — |
| 352 | #914 | — | 9 | 1 | no | — |
| 353 | #914 | — | 9 | 1 | no | — |
| 354 | #914 | — | 9 | 1 | no | — |
| 355 | #914 | — | 9 | 1 | no | — |
| 356 | #911 | — | 3 | 1 | no | — |
| 357 | #911 | — | 3 | 1 | no | — |
| 358 | #911 | — | 9 | 1 | no | — |
| 359 | #911 | — | 9 | 1 | no | — |
| 360 | #911 | — | 9 | 1 | no | — |
| 361 | #911 | — | 9 | 1 | no | — |
| 362 | D3×D8 | — | 9 | 1 | no | — |
| 363 | D3×D8 | — | 9 | 1 | no | — |
| 364 | D3×D8 | — | 9 | 1 | no | — |
| 365 | D3×D8 | — | 9 | 1 | no | — |
| 366 | D3×D8 | — | 9 | 1 | no | — |
| 367 | D3×D8 | — | 9 | 1 | no | — |
| 368 | D3×D8 | — | 18 | 1 | no | — |
| 369 | #908 | — | 3 | 1 | no | — |
| 370 | #908 | — | 3 | 1 | no | — |
| 371 | #908 | — | 9 | 1 | no | — |
| 372 | #907 | — | 9 | 1 | no | — |
| 373 | #907 | — | 9 | 1 | no | — |
| 374 | #907 | — | 9 | 1 | no | — |
| 375 | #907 | — | 18 | 1 | no | — |
| 376 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 377 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 378 | C22×C3×D3 | — | 6 | 1 | no | — |
| 379 | C22×C3×D3 | — | 6 | 1 | no | — |
| 380 | C22×C3×D3 | — | 6 | 1 | no | — |
| 381 | C22×C3×D3 | — | 6 | 1 | no | — |
| 382 | C22×C3×D3 | — | 6 | 1 | no | — |
| 383 | C22×C3×D3 | — | 6 | 1 | no | — |
| 384 | C2×D32 | — | 2 | 1 | no | — |
| 385 | C2×D32 | — | 2 | 1 | no | — |
| 386 | C2×D32 | — | 2 | 1 | no | — |
| 387 | C2×D32 | — | 6 | 1 | no | — |
| 388 | C2×D32 | — | 6 | 1 | no | — |
| 389 | C2×D32 | — | 6 | 1 | no | — |
| 390 | C2×D32 | — | 6 | 1 | no | — |
| 391 | C2×D32 | — | 6 | 1 | no | — |
| 392 | C2×D32 | — | 6 | 1 | no | — |
| 393 | C2×D32 | — | 6 | 1 | no | — |
| 394 | C2×D32 | — | 12 | 1 | no | — |
| 395 | C2×D32 | — | 12 | 1 | no | — |
| 396 | C32×Q8 | — | 3 | 1 | no | — |
| 397 | C32×D4 | — | 3 | 1 | no | — |
| 398 | C32×D4 | — | 3 | 1 | no | — |
| 399 | C32×D4 | — | 3 | 1 | no | — |
| 400 | C2×C32×C4 | — | 3 | 1 | no | — |
| 401 | #638 | — | 3 | 1 | no | — |
| 402 | #638 | — | 3 | 1 | no | — |
| 403 | #638 | — | 6 | 1 | no | — |
| 404 | #638 | — | 6 | 1 | no | — |
| 405 | #638 | — | 6 | 1 | no | — |
| 406 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 407 | C4⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 408 | C4⋊(C3⋊D3) | — | 6 | 1 | no | — |
| 409 | C4⋊(C3⋊D3) | C22×D3 | 1 | 1 | yes | characteristic |
| 410 | C4⋊(C3⋊D3) | C22×D3 | 1 | 1 | yes | characteristic |
| 411 | C4⋊(C3⋊D3) | C22×D3 | 1 | 1 | yes | characteristic |
| 412 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 413 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 414 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 415 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 416 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 417 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 418 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 419 | C4×C3⋊D3 | — | 12 | 1 | no | — |
| 420 | C4×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 421 | #634 | — | 3 | 1 | no | — |
| 422 | #634 | C22×D3 | 1 | 1 | yes | characteristic |
| 423 | C3×#67 | — | 6 | 1 | no | — |
| 424 | C3×#67 | — | 6 | 1 | no | — |
| 425 | C3×#67 | — | 6 | 1 | no | — |
| 426 | C3×#67 | — | 6 | 1 | no | — |
| 427 | C3×#67 | — | 6 | 1 | no | — |
| 428 | C3×#67 | — | 6 | 1 | no | — |
| 429 | C3×#67 | — | 6 | 1 | no | — |
| 430 | C3×#67 | — | 6 | 1 | no | — |
| 431 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 432 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 433 | C3×D12 | — | 2 | 1 | no | — |
| 434 | C3×D12 | — | 2 | 1 | no | — |
| 435 | C3×D12 | — | 2 | 1 | no | — |
| 436 | C3×D12 | — | 3 | 1 | no | — |
| 437 | C3×D12 | — | 3 | 1 | no | — |
| 438 | C3×D12 | — | 3 | 1 | no | — |
| 439 | C3×D12 | — | 3 | 1 | no | — |
| 440 | C3×D12 | — | 3 | 1 | no | — |
| 441 | C3×D12 | — | 3 | 1 | no | — |
| 442 | C3×D12 | — | 6 | 1 | no | — |
| 443 | C3×D12 | — | 6 | 1 | no | — |
| 444 | C3×D12 | — | 6 | 1 | no | — |
| 445 | C3×D12 | — | 6 | 1 | no | — |
| 446 | C3×D12 | — | 6 | 1 | no | — |
| 447 | C3×D12 | — | 6 | 1 | no | — |
| 448 | C3×D12 | — | 6 | 1 | no | — |
| 449 | C3×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 450 | C3×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 451 | C3×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 452 | C3×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 453 | C3×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 454 | C3×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 455 | C3×C4×D3 | — | 2 | 1 | no | — |
| 456 | C3×C4×D3 | — | 3 | 1 | no | — |
| 457 | C3×C4×D3 | — | 3 | 1 | no | — |
| 458 | C3×C4×D3 | — | 6 | 1 | no | — |
| 459 | C3×C4×D3 | — | 6 | 1 | no | — |
| 460 | C3×C4×D3 | — | 6 | 1 | no | — |
| 461 | C3×C4×D3 | — | 6 | 1 | no | — |
| 462 | C3×C4×D3 | — | 6 | 1 | no | — |
| 463 | C3×C4×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 464 | C3×C4×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 465 | C3×Dic6 | — | 2 | 1 | no | — |
| 466 | C3×Dic6 | — | 3 | 1 | no | — |
| 467 | C3×Dic6 | — | 3 | 1 | no | — |
| 468 | C3×Dic6 | — | 6 | 1 | no | — |
| 469 | C3×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 470 | C3×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 471 | #627 | — | 3 | 1 | no | — |
| 472 | #627 | — | 3 | 1 | no | — |
| 473 | #627 | — | 6 | 1 | no | — |
| 474 | #626 | — | 2 | 1 | no | — |
| 475 | #626 | — | 2 | 1 | no | — |
| 476 | #626 | — | 2 | 1 | no | — |
| 477 | #626 | — | 2 | 1 | no | — |
| 478 | #626 | — | 3 | 1 | no | — |
| 479 | #626 | — | 3 | 1 | no | — |
| 480 | #626 | — | 3 | 1 | no | — |
| 481 | #626 | — | 3 | 1 | no | — |
| 482 | #626 | — | 6 | 1 | no | — |
| 483 | #626 | — | 6 | 1 | no | — |
| 484 | #626 | — | 6 | 1 | no | — |
| 485 | #626 | — | 6 | 1 | no | — |
| 486 | #626 | — | 6 | 1 | no | — |
| 487 | #626 | — | 6 | 1 | no | — |
| 488 | #626 | — | 6 | 1 | no | — |
| 489 | #626 | — | 6 | 1 | no | — |
| 490 | #626 | — | 6 | 1 | no | — |
| 491 | #626 | — | 6 | 1 | no | — |
| 492 | #626 | — | 12 | 1 | no | — |
| 493 | #626 | — | 12 | 1 | no | — |
| 494 | #625 | — | 2 | 1 | no | — |
| 495 | #625 | — | 2 | 1 | no | — |
| 496 | #625 | — | 3 | 1 | no | — |
| 497 | #625 | — | 3 | 1 | no | — |
| 498 | #625 | — | 6 | 1 | no | — |
| 499 | #625 | — | 6 | 1 | no | — |
| 500 | #625 | — | 6 | 1 | no | — |
| 501 | #625 | — | 6 | 1 | no | — |
| 502 | #625 | — | 6 | 1 | no | — |
| 503 | #625 | — | 6 | 1 | no | — |
| 504 | #625 | — | 6 | 1 | no | — |
| 505 | #625 | — | 12 | 1 | no | — |
| 506 | #625 | — | 12 | 1 | no | — |
| 507 | #624 | — | 2 | 1 | no | — |
| 508 | #624 | — | 6 | 1 | no | — |
| 509 | D3×Dic3 | — | 2 | 1 | no | — |
| 510 | D3×Dic3 | — | 2 | 1 | no | — |
| 511 | D3×Dic3 | — | 6 | 1 | no | — |
| 512 | D3×Dic3 | — | 6 | 1 | no | — |
| 513 | D3×Dic3 | — | 6 | 1 | no | — |
| 514 | D3×Dic3 | — | 6 | 1 | no | — |
| 515 | D3×Dic3 | — | 6 | 1 | no | — |
| 516 | D3×Dic3 | — | 6 | 1 | no | — |
| 517 | D3×Dic3 | — | 12 | 1 | no | — |
| 518 | D3×Dic3 | — | 12 | 1 | no | — |
| 519 | C32×C8 | — | 2 | 1 | no | — |
| 520 | C32×C8 | — | 2 | 1 | no | — |
| 521 | C32×C8 | — | 2 | 1 | no | — |
| 522 | C32×C8 | — | 3 | 1 | no | — |
| 523 | C32×C8 | — | 4 | 1 | no | — |
| 524 | C32×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 525 | C32×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 526 | C32×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 527 | C3⋊(C3⋊C8) | — | 3 | 1 | no | — |
| 528 | C3⋊(C3⋊C8) | — | 3 | 1 | no | — |
| 529 | C3⋊(C3⋊C8) | — | 3 | 1 | no | — |
| 530 | C3⋊(C3⋊C8) | — | 6 | 1 | no | — |
| 531 | C3⋊(C3⋊C8) | — | 6 | 1 | no | — |
| 532 | C3⋊(C3⋊C8) | — | 6 | 1 | no | — |
| 533 | C3⋊(C3⋊C8) | — | 12 | 1 | no | — |
| 534 | C3⋊(C3⋊C8) | C22×D3 | 1 | 1 | yes | characteristic |
| 535 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 536 | C3×C3⋊C8 | — | 3 | 1 | no | — |
| 537 | C3×C3⋊C8 | — | 3 | 1 | no | — |
| 538 | C3×C3⋊C8 | — | 6 | 1 | no | — |
| 539 | C3×C3⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 540 | C3×C3⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 541 | #576 | — | 27 | 1 | no | Sylow |
| 542 | C2×C33 | C22×D4 | 1 | 1 | yes | characteristic |
| 543 | C3⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 544 | C3×C3⋊D3 | — | 2 | 1 | no | — |
| 545 | C3×C3⋊D3 | — | 4 | 1 | no | — |
| 546 | C3×C3⋊D3 | — | 4 | 1 | no | — |
| 547 | C3×C3⋊D3 | — | 4 | 1 | no | — |
| 548 | C32×D3 | — | 2 | 1 | no | — |
| 549 | C32×D3 | — | 4 | 1 | no | — |
| 550 | C32×D3 | — | 4 | 1 | no | — |
| 551 | C32×D3 | — | 4 | 1 | no | — |
| 552 | C3×#41 | — | 9 | 1 | no | — |
| 553 | C3×#41 | — | 9 | 1 | no | — |
| 554 | C3×#41 | — | 9 | 1 | no | — |
| 555 | C2×C3×D4 | — | 9 | 1 | no | — |
| 556 | C2×C3×D4 | — | 9 | 1 | no | — |
| 557 | C2×C3×D4 | — | 9 | 1 | no | — |
| 558 | C2×#67 | — | 18 | 1 | no | — |
| 559 | C2×#67 | — | 18 | 1 | no | — |
| 560 | C2×#67 | — | 18 | 1 | no | — |
| 561 | C2×#67 | — | 18 | 1 | no | — |
| 562 | C2×#67 | — | 18 | 1 | no | — |
| 563 | C2×#67 | — | 18 | 1 | no | — |
| 564 | #239 | — | 3 | 1 | no | — |
| 565 | #239 | — | 3 | 1 | no | — |
| 566 | #239 | — | 9 | 1 | no | — |
| 567 | #239 | — | 9 | 1 | no | — |
| 568 | #239 | — | 9 | 1 | no | — |
| 569 | #239 | — | 9 | 1 | no | — |
| 570 | #239 | — | 18 | 1 | no | — |
| 571 | #237 | — | 3 | 1 | no | — |
| 572 | #237 | — | 3 | 1 | no | — |
| 573 | #237 | — | 9 | 1 | no | — |
| 574 | #237 | — | 9 | 1 | no | — |
| 575 | #237 | — | 9 | 1 | no | — |
| 576 | #237 | — | 9 | 1 | no | — |
| 577 | #237 | — | 18 | 1 | no | — |
| 578 | #237 | — | 18 | 1 | no | — |
| 579 | #237 | — | 18 | 1 | no | — |
| 580 | #237 | — | 18 | 1 | no | — |
| 581 | D3×D4 | — | 3 | 1 | no | — |
| 582 | D3×D4 | — | 3 | 1 | no | — |
| 583 | D3×D4 | — | 3 | 1 | no | — |
| 584 | D3×D4 | — | 3 | 1 | no | — |
| 585 | D3×D4 | — | 9 | 1 | no | — |
| 586 | D3×D4 | — | 9 | 1 | no | — |
| 587 | D3×D4 | — | 9 | 1 | no | — |
| 588 | D3×D4 | — | 9 | 1 | no | — |
| 589 | D3×D4 | — | 9 | 1 | no | — |
| 590 | D3×D4 | — | 9 | 1 | no | — |
| 591 | D3×D4 | — | 9 | 1 | no | — |
| 592 | D3×D4 | — | 9 | 1 | no | — |
| 593 | D3×D4 | — | 18 | 1 | no | — |
| 594 | D3×D4 | — | 18 | 1 | no | — |
| 595 | D3×D4 | — | 18 | 1 | no | — |
| 596 | D3×D4 | — | 18 | 1 | no | — |
| 597 | D3×D4 | — | 18 | 1 | no | — |
| 598 | D3×D4 | — | 18 | 1 | no | — |
| 599 | D3×D4 | — | 18 | 1 | no | — |
| 600 | D3×D4 | — | 18 | 1 | no | — |
| 601 | D3×D4 | — | 18 | 1 | no | — |
| 602 | D3×D4 | — | 18 | 1 | no | — |
| 603 | D3×D4 | — | 18 | 1 | no | — |
| 604 | #235 | — | 3 | 1 | no | — |
| 605 | #235 | — | 3 | 1 | no | — |
| 606 | #235 | — | 9 | 1 | no | — |
| 607 | #235 | — | 9 | 1 | no | — |
| 608 | #235 | — | 9 | 1 | no | — |
| 609 | #235 | — | 9 | 1 | no | — |
| 610 | #235 | — | 18 | 1 | no | — |
| 611 | #235 | — | 18 | 1 | no | — |
| 612 | #235 | — | 18 | 1 | no | — |
| 613 | #235 | — | 18 | 1 | no | — |
| 614 | C2×D12 | — | 3 | 1 | no | — |
| 615 | C2×D12 | — | 3 | 1 | no | — |
| 616 | C2×D12 | — | 9 | 1 | no | — |
| 617 | C2×D12 | — | 18 | 1 | no | — |
| 618 | C2×D12 | — | 18 | 1 | no | — |
| 619 | C2×D12 | — | 18 | 1 | no | — |
| 620 | C3×SD16 | — | 3 | 1 | no | — |
| 621 | C3×SD16 | — | 3 | 1 | no | — |
| 622 | C3×SD16 | — | 6 | 1 | no | — |
| 623 | C3×SD16 | — | 9 | 1 | no | — |
| 624 | C3×SD16 | — | 9 | 1 | no | — |
| 625 | C3×SD16 | — | 9 | 1 | no | — |
| 626 | C3×SD16 | — | 9 | 1 | no | — |
| 627 | C3×D8 | — | 3 | 1 | no | — |
| 628 | C3×D8 | — | 3 | 1 | no | — |
| 629 | C3×D8 | — | 6 | 1 | no | — |
| 630 | C3×D8 | — | 9 | 1 | no | — |
| 631 | C3×D8 | — | 9 | 1 | no | — |
| 632 | C3×D8 | — | 9 | 1 | no | — |
| 633 | C3×D8 | — | 9 | 1 | no | — |
| 634 | C3×M16 | — | 3 | 1 | no | — |
| 635 | C3×M16 | — | 3 | 1 | no | — |
| 636 | C3×M16 | — | 6 | 1 | no | — |
| 637 | C3×M16 | — | 9 | 1 | no | — |
| 638 | #216 | — | 9 | 1 | no | — |
| 639 | #216 | — | 9 | 1 | no | — |
| 640 | #216 | — | 9 | 1 | no | — |
| 641 | #216 | — | 18 | 1 | no | — |
| 642 | #215 | — | 3 | 1 | no | — |
| 643 | #215 | — | 3 | 1 | no | — |
| 644 | #215 | — | 9 | 1 | no | — |
| 645 | #214 | — | 3 | 1 | no | — |
| 646 | #214 | — | 3 | 1 | no | — |
| 647 | #214 | — | 9 | 1 | no | — |
| 648 | #213 | — | 3 | 1 | no | — |
| 649 | #213 | — | 3 | 1 | no | — |
| 650 | #213 | — | 3 | 1 | no | — |
| 651 | #213 | — | 3 | 1 | no | — |
| 652 | #213 | — | 9 | 1 | no | — |
| 653 | #213 | — | 9 | 1 | no | — |
| 654 | #213 | — | 9 | 1 | no | — |
| 655 | #213 | — | 9 | 1 | no | — |
| 656 | #213 | — | 9 | 1 | no | — |
| 657 | #213 | — | 9 | 1 | no | — |
| 658 | #213 | — | 9 | 1 | no | — |
| 659 | #213 | — | 9 | 1 | no | — |
| 660 | #213 | — | 9 | 1 | no | — |
| 661 | #213 | — | 9 | 1 | no | — |
| 662 | #213 | — | 9 | 1 | no | — |
| 663 | #213 | — | 18 | 1 | no | — |
| 664 | #213 | — | 18 | 1 | no | — |
| 665 | #213 | — | 18 | 1 | no | — |
| 666 | C2×C3⋊C8 | — | 9 | 1 | no | — |
| 667 | C2×C3⋊C8 | — | 9 | 1 | no | — |
| 668 | C2×C3⋊C8 | — | 9 | 1 | no | — |
| 669 | C2×C3⋊C8 | — | 18 | 1 | no | — |
| 670 | D24 | — | 3 | 1 | no | — |
| 671 | D24 | — | 3 | 1 | no | — |
| 672 | D24 | — | 3 | 1 | no | — |
| 673 | D24 | — | 3 | 1 | no | — |
| 674 | D24 | — | 6 | 1 | no | — |
| 675 | D24 | — | 9 | 1 | no | — |
| 676 | D24 | D32 | 1 | 1 | yes | characteristic, complemented |
| 677 | #204 | — | 3 | 1 | no | — |
| 678 | #204 | — | 3 | 1 | no | — |
| 679 | #204 | — | 3 | 1 | no | — |
| 680 | #204 | — | 3 | 1 | no | — |
| 681 | #204 | — | 6 | 1 | no | — |
| 682 | #204 | — | 9 | 1 | no | — |
| 683 | #204 | D32 | 1 | 1 | yes | characteristic, complemented |
| 684 | ΓL(1,𝔽25) | — | 3 | 1 | no | — |
| 685 | ΓL(1,𝔽25) | — | 3 | 1 | no | — |
| 686 | ΓL(1,𝔽25) | — | 6 | 1 | no | — |
| 687 | ΓL(1,𝔽25) | — | 9 | 1 | no | — |
| 688 | ΓL(1,𝔽25) | — | 9 | 1 | no | — |
| 689 | ΓL(1,𝔽25) | — | 9 | 1 | no | — |
| 690 | ΓL(1,𝔽25) | — | 18 | 1 | no | — |
| 691 | ΓL(1,𝔽25) | D32 | 1 | 1 | yes | characteristic, complemented |
| 692 | D3×C8 | — | 9 | 1 | no | — |
| 693 | D3×C8 | — | 9 | 1 | no | — |
| 694 | D3×C8 | — | 9 | 1 | no | — |
| 695 | D3×C8 | — | 9 | 1 | no | — |
| 696 | D3×C8 | — | 9 | 1 | no | — |
| 697 | D3×C8 | — | 9 | 1 | no | — |
| 698 | D3×C8 | — | 18 | 1 | no | — |
| 699 | D3×C8 | — | 18 | 1 | no | — |
| 700 | D3×C8 | — | 18 | 1 | no | — |
| 701 | D3×C8 | — | 18 | 1 | no | — |
| 702 | D3×C8 | — | 36 | 1 | no | — |
| 703 | C22×C32 | — | 3 | 1 | no | — |
| 704 | C22×C32 | — | 6 | 1 | no | — |
| 705 | C22×C32 | — | 6 | 1 | no | — |
| 706 | C22×C32 | — | 6 | 1 | no | — |
| 707 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 708 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 709 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 710 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 711 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 712 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 713 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 714 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 715 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 716 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 717 | C2×C3⋊D3 | — | 24 | 1 | no | — |
| 718 | C2×C3⋊D3 | — | 24 | 1 | no | — |
| 719 | C2×C3⋊D3 | D3×D4 | 1 | 1 | yes | characteristic |
| 720 | C2×C3×D3 | — | 2 | 1 | no | — |
| 721 | C2×C3×D3 | — | 2 | 1 | no | — |
| 722 | C2×C3×D3 | — | 2 | 1 | no | — |
| 723 | C2×C3×D3 | — | 2 | 1 | no | — |
| 724 | C2×C3×D3 | — | 2 | 1 | no | — |
| 725 | C2×C3×D3 | — | 2 | 1 | no | — |
| 726 | C2×C3×D3 | — | 2 | 1 | no | — |
| 727 | C2×C3×D3 | — | 3 | 1 | no | — |
| 728 | C2×C3×D3 | — | 3 | 1 | no | — |
| 729 | C2×C3×D3 | — | 4 | 1 | no | — |
| 730 | C2×C3×D3 | — | 4 | 1 | no | — |
| 731 | C2×C3×D3 | — | 4 | 1 | no | — |
| 732 | C2×C3×D3 | — | 6 | 1 | no | — |
| 733 | C2×C3×D3 | — | 6 | 1 | no | — |
| 734 | C2×C3×D3 | — | 6 | 1 | no | — |
| 735 | C2×C3×D3 | — | 6 | 1 | no | — |
| 736 | C2×C3×D3 | — | 6 | 1 | no | — |
| 737 | C2×C3×D3 | — | 6 | 1 | no | — |
| 738 | C2×C3×D3 | — | 6 | 1 | no | — |
| 739 | C2×C3×D3 | — | 12 | 1 | no | — |
| 740 | C2×C3×D3 | — | 12 | 1 | no | — |
| 741 | C2×C3×D3 | — | 12 | 1 | no | — |
| 742 | C2×C3×D3 | — | 24 | 1 | no | — |
| 743 | C2×C3×D3 | — | 24 | 1 | no | — |
| 744 | C2×C3×D3 | — | 24 | 1 | no | — |
| 745 | C2×C3×D3 | — | 24 | 1 | no | — |
| 746 | C2×C3×D3 | — | 24 | 1 | no | — |
| 747 | C2×C3×D3 | — | 24 | 1 | no | — |
| 748 | C2×C3×D3 | D3×D4 | 1 | 1 | yes | characteristic |
| 749 | C2×C3×D3 | D3×D4 | 1 | 1 | yes | characteristic |
| 750 | D32 | — | 8 | 1 | no | — |
| 751 | D32 | — | 8 | 1 | no | — |
| 752 | D32 | — | 8 | 1 | no | — |
| 753 | D32 | — | 24 | 1 | no | — |
| 754 | D32 | — | 24 | 1 | no | — |
| 755 | D32 | — | 24 | 1 | no | — |
| 756 | D32 | — | 24 | 1 | no | — |
| 757 | D32 | — | 24 | 1 | no | — |
| 758 | D32 | — | 24 | 1 | no | — |
| 759 | D32 | — | 24 | 2 | no | — |
| 760 | D32 | — | 24 | 2 | no | — |
| 761 | D32 | — | 24 | 1 | no | — |
| 762 | C32×C4 | — | 2 | 1 | no | — |
| 763 | C32×C4 | — | 2 | 1 | no | — |
| 764 | C32×C4 | — | 2 | 1 | no | — |
| 765 | C32×C4 | — | 3 | 1 | no | — |
| 766 | C32×C4 | — | 4 | 1 | no | — |
| 767 | C32×C4 | — | 6 | 1 | no | — |
| 768 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 769 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 770 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 771 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 772 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 773 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 774 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 775 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 776 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 777 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 778 | C3⋊Dic3 | — | 12 | 1 | no | — |
| 779 | C3⋊Dic3 | D3×D4 | 1 | 1 | yes | characteristic |
| 780 | C3×Dic3 | — | 2 | 1 | no | — |
| 781 | C3×Dic3 | — | 2 | 1 | no | — |
| 782 | C3×Dic3 | — | 2 | 1 | no | — |
| 783 | C3×Dic3 | — | 3 | 1 | no | — |
| 784 | C3×Dic3 | — | 3 | 1 | no | — |
| 785 | C3×Dic3 | — | 4 | 1 | no | — |
| 786 | C3×Dic3 | — | 6 | 1 | no | — |
| 787 | C3×Dic3 | — | 6 | 1 | no | — |
| 788 | C3×Dic3 | — | 6 | 1 | no | — |
| 789 | C3×Dic3 | — | 12 | 1 | no | — |
| 790 | C3×Dic3 | D3×D4 | 1 | 1 | yes | characteristic |
| 791 | C3×Dic3 | D3×D4 | 1 | 1 | yes | characteristic |
| 792 | H(5,𝔽2) | — | 27 | 1 | no | — |
| 793 | H(5,𝔽2) | — | 27 | 1 | no | — |
| 794 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 795 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 796 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 797 | AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 798 | AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 799 | AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 800 | #135 | — | 27 | 1 | no | — |
| 801 | #135 | — | 27 | 1 | no | — |
| 802 | #135 | — | 27 | 1 | no | — |
| 803 | C2×D8 | — | 27 | 1 | no | — |
| 804 | C2×D8 | — | 27 | 1 | no | — |
| 805 | C2×D8 | — | 27 | 1 | no | — |
| 806 | #131 | — | 27 | 1 | no | — |
| 807 | C33 | #576 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 808 | C23×C3 | — | 18 | 1 | no | — |
| 809 | C23×C3 | — | 18 | 1 | no | — |
| 810 | C23×C3 | — | 18 | 1 | no | — |
| 811 | C22×D3 | — | 6 | 1 | no | — |
| 812 | C22×D3 | — | 6 | 1 | no | — |
| 813 | C22×D3 | — | 6 | 1 | no | — |
| 814 | C22×D3 | — | 6 | 1 | no | — |
| 815 | C22×D3 | — | 6 | 1 | no | — |
| 816 | C22×D3 | — | 6 | 1 | no | — |
| 817 | C22×D3 | — | 18 | 1 | no | — |
| 818 | C22×D3 | — | 18 | 1 | no | — |
| 819 | C22×D3 | — | 18 | 1 | no | — |
| 820 | C22×D3 | — | 18 | 1 | no | — |
| 821 | C22×D3 | — | 18 | 1 | no | — |
| 822 | C22×D3 | — | 18 | 1 | no | — |
| 823 | C22×D3 | — | 18 | 1 | no | — |
| 824 | C22×D3 | — | 18 | 1 | no | — |
| 825 | C22×D3 | — | 18 | 1 | no | — |
| 826 | C22×D3 | — | 36 | 1 | no | — |
| 827 | C22×D3 | — | 36 | 1 | no | — |
| 828 | C3×Q8 | — | 3 | 1 | no | — |
| 829 | C3×Q8 | — | 3 | 1 | no | — |
| 830 | C3×Q8 | — | 6 | 1 | no | — |
| 831 | C3×Q8 | — | 9 | 1 | no | — |
| 832 | C3×D4 | — | 3 | 1 | no | — |
| 833 | C3×D4 | — | 3 | 1 | no | — |
| 834 | C3×D4 | — | 3 | 1 | no | — |
| 835 | C3×D4 | — | 3 | 1 | no | — |
| 836 | C3×D4 | — | 3 | 1 | no | — |
| 837 | C3×D4 | — | 3 | 1 | no | — |
| 838 | C3×D4 | — | 6 | 1 | no | — |
| 839 | C3×D4 | — | 6 | 1 | no | — |
| 840 | C3×D4 | — | 6 | 1 | no | — |
| 841 | C3×D4 | — | 9 | 1 | no | — |
| 842 | C3×D4 | — | 9 | 1 | no | — |
| 843 | C3×D4 | — | 9 | 1 | no | — |
| 844 | C3×D4 | — | 18 | 1 | no | — |
| 845 | C3×D4 | — | 18 | 1 | no | — |
| 846 | C3×D4 | — | 18 | 1 | no | — |
| 847 | C3×D4 | — | 18 | 1 | no | — |
| 848 | C3×D4 | — | 18 | 1 | no | — |
| 849 | C3×D4 | — | 18 | 1 | no | — |
| 850 | C2×C3×C4 | — | 3 | 1 | no | — |
| 851 | C2×C3×C4 | — | 3 | 1 | no | — |
| 852 | C2×C3×C4 | — | 6 | 1 | no | — |
| 853 | C2×C3×C4 | — | 9 | 1 | no | — |
| 854 | C2×C3×C4 | — | 18 | 1 | no | — |
| 855 | C2×C3×C4 | — | 18 | 1 | no | — |
| 856 | C2×C3×C4 | — | 18 | 1 | no | — |
| 857 | #67 | — | 6 | 1 | no | — |
| 858 | #67 | — | 6 | 1 | no | — |
| 859 | #67 | — | 6 | 1 | no | — |
| 860 | #67 | — | 6 | 1 | no | — |
| 861 | #67 | — | 6 | 1 | no | — |
| 862 | #67 | — | 6 | 1 | no | — |
| 863 | #67 | — | 6 | 1 | no | — |
| 864 | #67 | — | 6 | 1 | no | — |
| 865 | #67 | — | 9 | 1 | no | — |
| 866 | #67 | — | 9 | 1 | no | — |
| 867 | #67 | — | 9 | 1 | no | — |
| 868 | #67 | — | 9 | 1 | no | — |
| 869 | #67 | — | 9 | 1 | no | — |
| 870 | #67 | — | 9 | 1 | no | — |
| 871 | #67 | — | 18 | 1 | no | — |
| 872 | #67 | — | 18 | 1 | no | — |
| 873 | #67 | — | 18 | 1 | no | — |
| 874 | #67 | — | 18 | 1 | no | — |
| 875 | #67 | — | 18 | 1 | no | — |
| 876 | #67 | — | 18 | 1 | no | — |
| 877 | #67 | — | 18 | 1 | no | — |
| 878 | #67 | — | 18 | 1 | no | — |
| 879 | #67 | — | 18 | 1 | no | — |
| 880 | #67 | — | 18 | 1 | no | — |
| 881 | #67 | — | 18 | 1 | no | — |
| 882 | #67 | — | 18 | 1 | no | — |
| 883 | #67 | — | 18 | 1 | no | — |
| 884 | #67 | — | 18 | 1 | no | — |
| 885 | #67 | — | 18 | 1 | no | — |
| 886 | #67 | — | 36 | 1 | no | — |
| 887 | #67 | — | 36 | 1 | no | — |
| 888 | #67 | — | 36 | 1 | no | — |
| 889 | C2×Dic3 | — | 6 | 1 | no | — |
| 890 | C2×Dic3 | — | 6 | 1 | no | — |
| 891 | C2×Dic3 | — | 18 | 1 | no | — |
| 892 | C2×Dic3 | — | 18 | 1 | no | — |
| 893 | C2×Dic3 | — | 18 | 1 | no | — |
| 894 | C2×Dic3 | — | 18 | 1 | no | — |
| 895 | C2×Dic3 | — | 36 | 1 | no | — |
| 896 | D12 | — | 3 | 1 | no | — |
| 897 | D12 | — | 3 | 1 | no | — |
| 898 | D12 | — | 3 | 1 | no | — |
| 899 | D12 | — | 3 | 1 | no | — |
| 900 | D12 | — | 3 | 1 | no | — |
| 901 | D12 | — | 3 | 1 | no | — |
| 902 | D12 | — | 6 | 1 | no | — |
| 903 | D12 | — | 6 | 1 | no | — |
| 904 | D12 | — | 6 | 1 | no | — |
| 905 | D12 | — | 6 | 1 | no | — |
| 906 | D12 | — | 6 | 1 | no | — |
| 907 | D12 | — | 6 | 1 | no | — |
| 908 | D12 | — | 6 | 1 | no | — |
| 909 | D12 | — | 9 | 1 | no | — |
| 910 | D12 | — | 9 | 1 | no | — |
| 911 | D12 | — | 9 | 1 | no | — |
| 912 | D12 | — | 18 | 1 | no | — |
| 913 | D12 | — | 18 | 1 | no | — |
| 914 | D12 | — | 18 | 1 | no | — |
| 915 | D12 | — | 18 | 1 | no | — |
| 916 | D12 | — | 18 | 1 | no | — |
| 917 | D12 | — | 18 | 1 | no | — |
| 918 | D12 | — | 36 | 1 | no | — |
| 919 | D12 | C2×D32 | 1 | 1 | yes | characteristic |
| 920 | D12 | C2×D32 | 1 | 1 | yes | characteristic |
| 921 | D12 | C2×D32 | 1 | 1 | yes | characteristic |
| 922 | C4×D3 | — | 3 | 1 | no | — |
| 923 | C4×D3 | — | 3 | 1 | no | — |
| 924 | C4×D3 | — | 6 | 1 | no | — |
| 925 | C4×D3 | — | 6 | 1 | no | — |
| 926 | C4×D3 | — | 6 | 1 | no | — |
| 927 | C4×D3 | — | 6 | 1 | no | — |
| 928 | C4×D3 | — | 6 | 1 | no | — |
| 929 | C4×D3 | — | 9 | 1 | no | — |
| 930 | C4×D3 | — | 9 | 1 | no | — |
| 931 | C4×D3 | — | 9 | 1 | no | — |
| 932 | C4×D3 | — | 18 | 1 | no | — |
| 933 | C4×D3 | — | 18 | 1 | no | — |
| 934 | C4×D3 | — | 18 | 1 | no | — |
| 935 | C4×D3 | — | 18 | 1 | no | — |
| 936 | C4×D3 | — | 18 | 1 | no | — |
| 937 | C4×D3 | — | 18 | 1 | no | — |
| 938 | C4×D3 | — | 18 | 1 | no | — |
| 939 | C4×D3 | — | 18 | 1 | no | — |
| 940 | C4×D3 | — | 36 | 1 | no | — |
| 941 | C4×D3 | — | 36 | 1 | no | — |
| 942 | C4×D3 | C2×D32 | 1 | 1 | yes | characteristic |
| 943 | Dic6 | — | 3 | 1 | no | — |
| 944 | Dic6 | — | 3 | 1 | no | — |
| 945 | Dic6 | — | 6 | 1 | no | — |
| 946 | Dic6 | — | 9 | 1 | no | — |
| 947 | Dic6 | — | 9 | 1 | no | — |
| 948 | Dic6 | — | 9 | 1 | no | — |
| 949 | Dic6 | — | 18 | 1 | no | — |
| 950 | Dic6 | C2×D32 | 1 | 1 | yes | characteristic |
| 951 | C3×C8 | — | 2 | 1 | no | — |
| 952 | C3×C8 | — | 2 | 1 | no | — |
| 953 | C3×C8 | — | 2 | 1 | no | — |
| 954 | C3×C8 | — | 3 | 1 | no | — |
| 955 | C3×C8 | — | 3 | 1 | no | — |
| 956 | C3×C8 | — | 4 | 1 | no | — |
| 957 | C3×C8 | — | 6 | 1 | no | — |
| 958 | C3×C8 | — | 9 | 1 | no | — |
| 959 | C3×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 960 | C3×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 961 | C3×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 962 | C3⋊C8 | — | 3 | 1 | no | — |
| 963 | C3⋊C8 | — | 3 | 1 | no | — |
| 964 | C3⋊C8 | — | 6 | 1 | no | — |
| 965 | C3⋊C8 | — | 9 | 1 | no | — |
| 966 | C3⋊C8 | — | 9 | 1 | no | — |
| 967 | C3⋊C8 | — | 9 | 1 | no | — |
| 968 | C3⋊C8 | — | 18 | 1 | no | — |
| 969 | C3⋊C8 | — | 18 | 1 | no | — |
| 970 | C3⋊C8 | — | 18 | 1 | no | — |
| 971 | C3⋊C8 | — | 36 | 1 | no | — |
| 972 | C3⋊C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 973 | C2×C32 | — | 2 | 1 | no | — |
| 974 | C2×C32 | — | 2 | 1 | no | — |
| 975 | C2×C32 | — | 2 | 1 | no | — |
| 976 | C2×C32 | — | 4 | 1 | no | — |
| 977 | C2×C32 | — | 6 | 1 | no | — |
| 978 | C2×C32 | — | 12 | 1 | no | — |
| 979 | C2×C32 | — | 12 | 1 | no | — |
| 980 | C2×C32 | — | 12 | 1 | no | — |
| 981 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 982 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 983 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 984 | C3⋊D3 | — | 2 | 1 | no | — |
| 985 | C3⋊D3 | — | 4 | 1 | no | — |
| 986 | C3⋊D3 | — | 4 | 1 | no | — |
| 987 | C3⋊D3 | — | 4 | 1 | no | — |
| 988 | C3⋊D3 | — | 6 | 1 | no | — |
| 989 | C3⋊D3 | — | 6 | 2 | no | — |
| 990 | C3⋊D3 | — | 6 | 1 | no | — |
| 991 | C3⋊D3 | — | 6 | 1 | no | — |
| 992 | C3⋊D3 | — | 12 | 1 | no | — |
| 993 | C3⋊D3 | — | 12 | 1 | no | — |
| 994 | C3⋊D3 | — | 12 | 2 | no | — |
| 995 | C3×D3 | — | 2 | 1 | no | — |
| 996 | C3×D3 | — | 2 | 1 | no | — |
| 997 | C3×D3 | — | 4 | 1 | no | — |
| 998 | C3×D3 | — | 4 | 1 | no | — |
| 999 | C3×D3 | — | 4 | 1 | no | — |
| 1000 | C3×D3 | — | 4 | 1 | no | — |
| 1001 | C3×D3 | — | 4 | 1 | no | — |
| 1002 | C3×D3 | — | 4 | 1 | no | — |
| 1003 | C3×D3 | — | 4 | 1 | no | — |
| 1004 | C3×D3 | — | 6 | 1 | no | — |
| 1005 | C3×D3 | — | 6 | 1 | no | — |
| 1006 | C3×D3 | — | 8 | 1 | no | — |
| 1007 | C3×D3 | — | 8 | 1 | no | — |
| 1008 | C3×D3 | — | 8 | 1 | no | — |
| 1009 | C3×D3 | — | 12 | 1 | no | — |
| 1010 | C3×D3 | — | 12 | 1 | no | — |
| 1011 | C3×D3 | — | 12 | 1 | no | — |
| 1012 | C3×D3 | — | 12 | 1 | no | — |
| 1013 | C3×D3 | — | 12 | 1 | no | — |
| 1014 | C3×D3 | — | 12 | 1 | no | — |
| 1015 | C3×D3 | — | 12 | 1 | no | — |
| 1016 | C3×D3 | — | 24 | 1 | no | — |
| 1017 | C3×D3 | — | 24 | 1 | no | — |
| 1018 | C3×D3 | — | 24 | 1 | no | — |
| 1019 | #41 | — | 9 | 1 | no | — |
| 1020 | #41 | — | 9 | 1 | no | — |
| 1021 | #41 | — | 9 | 1 | no | — |
| 1022 | #41 | — | 27 | 1 | no | — |
| 1023 | #41 | — | 27 | 1 | no | — |
| 1024 | #41 | — | 27 | 1 | no | — |
| 1025 | #41 | — | 27 | 1 | no | — |
| 1026 | #41 | — | 54 | 1 | no | — |
| 1027 | #41 | — | 54 | 1 | no | — |
| 1028 | C2×D4 | — | 9 | 1 | no | — |
| 1029 | C2×D4 | — | 9 | 1 | no | — |
| 1030 | C2×D4 | — | 9 | 1 | no | — |
| 1031 | C2×D4 | — | 27 | 1 | no | — |
| 1032 | C2×D4 | — | 27 | 1 | no | — |
| 1033 | C2×D4 | — | 27 | 1 | no | — |
| 1034 | C2×D4 | — | 54 | 1 | no | — |
| 1035 | C2×D4 | — | 54 | 1 | no | — |
| 1036 | C2×D4 | — | 54 | 1 | no | — |
| 1037 | C2×D4 | — | 54 | 1 | no | — |
| 1038 | C2×D4 | — | 54 | 1 | no | — |
| 1039 | C2×D4 | — | 54 | 1 | no | — |
| 1040 | Q16 | — | 27 | 1 | no | — |
| 1041 | SD16 | — | 3 | 1 | no | — |
| 1042 | SD16 | — | 9 | 1 | no | — |
| 1043 | SD16 | — | 9 | 1 | no | — |
| 1044 | SD16 | — | 9 | 1 | no | — |
| 1045 | SD16 | — | 9 | 1 | no | — |
| 1046 | SD16 | — | 27 | 1 | no | — |
| 1047 | D8 | — | 3 | 1 | no | — |
| 1048 | D8 | — | 9 | 1 | no | — |
| 1049 | D8 | — | 9 | 1 | no | — |
| 1050 | D8 | — | 9 | 1 | no | — |
| 1051 | D8 | — | 9 | 1 | no | — |
| 1052 | D8 | — | 27 | 1 | no | — |
| 1053 | D8 | — | 27 | 1 | no | — |
| 1054 | D8 | — | 27 | 1 | no | — |
| 1055 | D8 | — | 27 | 1 | no | — |
| 1056 | M16 | — | 3 | 1 | no | — |
| 1057 | M16 | — | 9 | 1 | no | — |
| 1058 | M16 | — | 27 | 1 | no | — |
| 1059 | C2×C8 | — | 27 | 1 | no | — |
| 1060 | C2×C8 | — | 27 | 1 | no | — |
| 1061 | C2×C8 | — | 27 | 1 | no | — |
| 1062 | C22×C3 | — | 3 | 1 | no | — |
| 1063 | C22×C3 | — | 3 | 1 | no | — |
| 1064 | C22×C3 | — | 6 | 1 | no | — |
| 1065 | C22×C3 | — | 6 | 1 | no | — |
| 1066 | C22×C3 | — | 6 | 1 | no | — |
| 1067 | C22×C3 | — | 6 | 1 | no | — |
| 1068 | C22×C3 | — | 6 | 1 | no | — |
| 1069 | C22×C3 | — | 6 | 1 | no | — |
| 1070 | C22×C3 | — | 6 | 1 | no | — |
| 1071 | C22×C3 | — | 9 | 1 | no | — |
| 1072 | C22×C3 | — | 12 | 1 | no | — |
| 1073 | C22×C3 | — | 12 | 1 | no | — |
| 1074 | C22×C3 | — | 12 | 1 | no | — |
| 1075 | C22×C3 | — | 18 | 1 | no | — |
| 1076 | C22×C3 | — | 18 | 1 | no | — |
| 1077 | C22×C3 | — | 18 | 1 | no | — |
| 1078 | C22×C3 | — | 72 | 1 | no | — |
| 1079 | C22×C3 | — | 72 | 1 | no | — |
| 1080 | C22×C3 | — | 72 | 1 | no | — |
| 1081 | C2×D3 | — | 2 | 1 | no | — |
| 1082 | C2×D3 | — | 2 | 1 | no | — |
| 1083 | C2×D3 | — | 2 | 1 | no | — |
| 1084 | C2×D3 | — | 3 | 1 | no | — |
| 1085 | C2×D3 | — | 3 | 1 | no | — |
| 1086 | C2×D3 | — | 6 | 1 | no | — |
| 1087 | C2×D3 | — | 6 | 1 | no | — |
| 1088 | C2×D3 | — | 6 | 1 | no | — |
| 1089 | C2×D3 | — | 6 | 1 | no | — |
| 1090 | C2×D3 | — | 6 | 1 | no | — |
| 1091 | C2×D3 | — | 6 | 1 | no | — |
| 1092 | C2×D3 | — | 6 | 1 | no | — |
| 1093 | C2×D3 | — | 9 | 1 | no | — |
| 1094 | C2×D3 | — | 9 | 1 | no | — |
| 1095 | C2×D3 | — | 9 | 1 | no | — |
| 1096 | C2×D3 | — | 12 | 1 | no | — |
| 1097 | C2×D3 | — | 12 | 1 | no | — |
| 1098 | C2×D3 | — | 12 | 1 | no | — |
| 1099 | C2×D3 | — | 18 | 1 | no | — |
| 1100 | C2×D3 | — | 18 | 1 | no | — |
| 1101 | C2×D3 | — | 18 | 1 | no | — |
| 1102 | C2×D3 | — | 24 | 1 | no | — |
| 1103 | C2×D3 | — | 24 | 1 | no | — |
| 1104 | C2×D3 | — | 24 | 1 | no | — |
| 1105 | C2×D3 | — | 24 | 1 | no | — |
| 1106 | C2×D3 | — | 24 | 1 | no | — |
| 1107 | C2×D3 | — | 24 | 1 | no | — |
| 1108 | C2×D3 | — | 36 | 1 | no | — |
| 1109 | C2×D3 | — | 72 | 1 | no | — |
| 1110 | C2×D3 | — | 72 | 1 | no | — |
| 1111 | C2×D3 | — | 72 | 1 | no | — |
| 1112 | C2×D3 | — | 72 | 1 | no | — |
| 1113 | C2×D3 | — | 72 | 1 | no | — |
| 1114 | C2×D3 | — | 72 | 1 | no | — |
| 1115 | C2×D3 | — | 72 | 1 | no | — |
| 1116 | C2×D3 | — | 72 | 1 | no | — |
| 1117 | C2×D3 | — | 72 | 1 | no | — |
| 1118 | C2×D3 | — | 72 | 2 | no | — |
| 1119 | C2×D3 | — | 72 | 2 | no | — |
| 1120 | C2×D3 | #3802 | 1 | 1 | yes | characteristic |
| 1121 | C3×C4 | — | 2 | 1 | no | — |
| 1122 | C3×C4 | — | 2 | 1 | no | — |
| 1123 | C3×C4 | — | 2 | 1 | no | — |
| 1124 | C3×C4 | — | 3 | 1 | no | — |
| 1125 | C3×C4 | — | 3 | 1 | no | — |
| 1126 | C3×C4 | — | 4 | 1 | no | — |
| 1127 | C3×C4 | — | 6 | 1 | no | — |
| 1128 | C3×C4 | — | 6 | 1 | no | — |
| 1129 | C3×C4 | — | 6 | 1 | no | — |
| 1130 | C3×C4 | — | 9 | 1 | no | — |
| 1131 | C3×C4 | — | 12 | 1 | no | — |
| 1132 | C3×C4 | — | 18 | 1 | no | — |
| 1133 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 1134 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 1135 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 1136 | Dic3 | — | 2 | 1 | no | — |
| 1137 | Dic3 | — | 3 | 1 | no | — |
| 1138 | Dic3 | — | 3 | 1 | no | — |
| 1139 | Dic3 | — | 6 | 1 | no | — |
| 1140 | Dic3 | — | 6 | 1 | no | — |
| 1141 | Dic3 | — | 6 | 1 | no | — |
| 1142 | Dic3 | — | 9 | 1 | no | — |
| 1143 | Dic3 | — | 9 | 1 | no | — |
| 1144 | Dic3 | — | 9 | 1 | no | — |
| 1145 | Dic3 | — | 12 | 1 | no | — |
| 1146 | Dic3 | — | 18 | 1 | no | — |
| 1147 | Dic3 | — | 18 | 1 | no | — |
| 1148 | Dic3 | — | 18 | 1 | no | — |
| 1149 | Dic3 | — | 36 | 1 | no | — |
| 1150 | Dic3 | #3802 | 1 | 1 | yes | characteristic |
| 1151 | C32 | — | 2 | 1 | no | — |
| 1152 | C32 | — | 2 | 1 | no | — |
| 1153 | C32 | — | 2 | 1 | no | — |
| 1154 | C32 | — | 4 | 1 | no | — |
| 1155 | C32 | #5774 | 1 | 1 | yes | characteristic, complemented |
| 1156 | C32 | #5774 | 1 | 1 | yes | characteristic, complemented |
| 1157 | C32 | #5774 | 1 | 1 | yes | characteristic, complemented |
| 1158 | C23 | — | 18 | 1 | no | — |
| 1159 | C23 | — | 18 | 1 | no | — |
| 1160 | C23 | — | 18 | 1 | no | — |
| 1161 | C23 | — | 54 | 1 | no | — |
| 1162 | C23 | — | 54 | 1 | no | — |
| 1163 | C23 | — | 54 | 1 | no | — |
| 1164 | Q8 | — | 3 | 1 | no | — |
| 1165 | Q8 | — | 9 | 1 | no | — |
| 1166 | Q8 | — | 27 | 1 | no | — |
| 1167 | D4 | — | 3 | 1 | no | — |
| 1168 | D4 | — | 3 | 1 | no | — |
| 1169 | D4 | — | 3 | 1 | no | — |
| 1170 | D4 | — | 9 | 1 | no | — |
| 1171 | D4 | — | 9 | 1 | no | — |
| 1172 | D4 | — | 9 | 1 | no | — |
| 1173 | D4 | — | 18 | 1 | no | — |
| 1174 | D4 | — | 18 | 1 | no | — |
| 1175 | D4 | — | 18 | 1 | no | — |
| 1176 | D4 | — | 18 | 1 | no | — |
| 1177 | D4 | — | 18 | 1 | no | — |
| 1178 | D4 | — | 18 | 1 | no | — |
| 1179 | D4 | — | 27 | 1 | no | — |
| 1180 | D4 | — | 27 | 1 | no | — |
| 1181 | D4 | — | 27 | 1 | no | — |
| 1182 | D4 | — | 54 | 1 | no | — |
| 1183 | D4 | — | 54 | 1 | no | — |
| 1184 | D4 | — | 54 | 1 | no | — |
| 1185 | D4 | — | 54 | 1 | no | — |
| 1186 | D4 | — | 54 | 1 | no | — |
| 1187 | D4 | — | 54 | 1 | no | — |
| 1188 | C2×C4 | — | 3 | 1 | no | — |
| 1189 | C2×C4 | — | 9 | 1 | no | — |
| 1190 | C2×C4 | — | 18 | 1 | no | — |
| 1191 | C2×C4 | — | 18 | 1 | no | — |
| 1192 | C2×C4 | — | 18 | 1 | no | — |
| 1193 | C2×C4 | — | 27 | 1 | no | — |
| 1194 | C2×C4 | — | 54 | 1 | no | — |
| 1195 | C2×C4 | — | 54 | 1 | no | — |
| 1196 | C2×C4 | — | 54 | 1 | no | — |
| 1197 | C8 | — | 3 | 1 | no | — |
| 1198 | C8 | — | 9 | 1 | no | — |
| 1199 | C8 | — | 27 | 1 | no | — |
| 1200 | C8 | D33 | 1 | 1 | yes | characteristic |
| 1201 | C2×C3 | — | 2 | 1 | no | — |
| 1202 | C2×C3 | — | 2 | 1 | no | — |
| 1203 | C2×C3 | — | 2 | 1 | no | — |
| 1204 | C2×C3 | — | 4 | 1 | no | — |
| 1205 | C2×C3 | — | 6 | 1 | no | — |
| 1206 | C2×C3 | — | 6 | 1 | no | — |
| 1207 | C2×C3 | — | 12 | 1 | no | — |
| 1208 | C2×C3 | — | 12 | 1 | no | — |
| 1209 | C2×C3 | — | 12 | 1 | no | — |
| 1210 | C2×C3 | — | 12 | 1 | no | — |
| 1211 | C2×C3 | — | 12 | 1 | no | — |
| 1212 | C2×C3 | — | 12 | 1 | no | — |
| 1213 | C2×C3 | — | 12 | 1 | no | — |
| 1214 | C2×C3 | — | 18 | 1 | no | — |
| 1215 | C2×C3 | — | 24 | 1 | no | — |
| 1216 | C2×C3 | — | 24 | 1 | no | — |
| 1217 | C2×C3 | — | 24 | 1 | no | — |
| 1218 | C2×C3 | — | 36 | 1 | no | — |
| 1219 | C2×C3 | — | 36 | 1 | no | — |
| 1220 | C2×C3 | — | 36 | 1 | no | — |
| 1221 | C2×C3 | C2×#3802 | 1 | 1 | yes | characteristic |
| 1222 | C2×C3 | D32×D4 | 1 | 1 | yes | characteristic |
| 1223 | C2×C3 | D32×D4 | 1 | 1 | yes | characteristic |
| 1224 | D3 | — | 2 | 1 | no | — |
| 1225 | D3 | — | 4 | 1 | no | — |
| 1226 | D3 | — | 4 | 1 | no | — |
| 1227 | D3 | — | 4 | 1 | no | — |
| 1228 | D3 | — | 6 | 1 | no | — |
| 1229 | D3 | — | 6 | 1 | no | — |
| 1230 | D3 | — | 12 | 1 | no | — |
| 1231 | D3 | — | 12 | 1 | no | — |
| 1232 | D3 | — | 12 | 1 | no | — |
| 1233 | D3 | — | 12 | 1 | no | — |
| 1234 | D3 | — | 12 | 1 | no | — |
| 1235 | D3 | — | 12 | 1 | no | — |
| 1236 | D3 | — | 12 | 1 | no | — |
| 1237 | D3 | — | 18 | 2 | no | — |
| 1238 | D3 | — | 18 | 1 | no | — |
| 1239 | D3 | — | 18 | 1 | no | — |
| 1240 | D3 | — | 18 | 1 | no | — |
| 1241 | D3 | — | 24 | 1 | no | — |
| 1242 | D3 | — | 24 | 1 | no | — |
| 1243 | D3 | — | 24 | 1 | no | — |
| 1244 | D3 | — | 36 | 1 | no | — |
| 1245 | D3 | — | 36 | 1 | no | — |
| 1246 | D3 | — | 36 | 2 | no | — |
| 1247 | C22 | — | 3 | 1 | no | — |
| 1248 | C22 | — | 6 | 1 | no | — |
| 1249 | C22 | — | 6 | 1 | no | — |
| 1250 | C22 | — | 6 | 1 | no | — |
| 1251 | C22 | — | 9 | 1 | no | — |
| 1252 | C22 | — | 18 | 1 | no | — |
| 1253 | C22 | — | 18 | 1 | no | — |
| 1254 | C22 | — | 18 | 1 | no | — |
| 1255 | C22 | — | 27 | 1 | no | — |
| 1256 | C22 | — | 72 | 1 | no | — |
| 1257 | C22 | — | 72 | 1 | no | — |
| 1258 | C22 | — | 72 | 1 | no | — |
| 1259 | C22 | — | 216 | 1 | no | — |
| 1260 | C22 | — | 216 | 1 | no | — |
| 1261 | C22 | — | 216 | 1 | no | — |
| 1262 | C4 | — | 3 | 1 | no | — |
| 1263 | C4 | — | 6 | 1 | no | — |
| 1264 | C4 | — | 9 | 1 | no | — |
| 1265 | C4 | — | 18 | 1 | no | — |
| 1266 | C4 | — | 27 | 1 | no | — |
| 1267 | C4 | C2×D33 | 1 | 1 | yes | characteristic |
| 1268 | C3 | — | 2 | 1 | no | — |
| 1269 | C3 | — | 2 | 1 | no | — |
| 1270 | C3 | — | 2 | 1 | no | — |
| 1271 | C3 | — | 4 | 1 | no | — |
| 1272 | C3 | #10594720 | 1 | 1 | yes | characteristic, complemented |
| 1273 | C3 | #10594735 | 1 | 1 | yes | characteristic, complemented |
| 1274 | C3 | #10594750 | 1 | 1 | yes | characteristic, complemented |
| 1275 | C2 | — | 6 | 1 | no | — |
| 1276 | C2 | — | 12 | 1 | no | — |
| 1277 | C2 | — | 12 | 1 | no | — |
| 1278 | C2 | — | 12 | 1 | no | — |
| 1279 | C2 | — | 18 | 1 | no | — |
| 1280 | C2 | — | 36 | 1 | no | — |
| 1281 | C2 | — | 36 | 1 | no | — |
| 1282 | C2 | — | 36 | 1 | no | — |
| 1283 | C2 | — | 54 | 1 | no | — |
| 1284 | C2 | D3×#3802 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | D3×#3802 |
| commutator, cosocle | C33×C4 | C24 |
| Frattini | C4 | C2×D33 |
| Fitting | C33×C8 | C23 |
| socle | C2×C33 | C22×D4 |
| hypercenter | C8 | D33 |
| hypocenter | C33 | #576 |
| LCS | G ▷ C33×C4 ▷ C2×C33 ▷ C33 | |
| UCS | C1 ◁ C2 ◁ C4 ◁ C8 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11724385 | C2 | semidirect |
| 2. #11724381 | C2 | semidirect |
| 3. #11723648 | C2 | semidirect |
| 4. #11723342 | C2 | semidirect |
| 5. #11723334 | C2 | semidirect |
| 6. #11723322 | C2 | semidirect |
| 7. C3×#63798 | C2 | semidirect |
| 8. C3×#63795 | C2 | semidirect |
| 9. C3×#63794 | C2 | semidirect |
| 10. #11722878 | C2 | semidirect |
| 11. #11722877 | C2 | semidirect |
| 12. #11722859 | C2 | semidirect |
| 13. #11722851 | C2 | semidirect |
| 14. #11722831 | C2 | semidirect |
| 15. D3×#3713 | C2 | semidirect |
| 19. C4⋊#1113 | C22 | semidirect |
| 20. #89041 | C22 | semidirect |
| 21. #89026 | C22 | semidirect |
| 22. #89026 | C22 | semidirect |
| 24. #89017 | C22 | semidirect |
| 25. #89015 | C22 | semidirect |
| 26. C3×#3802 | C22 | semidirect |
| 27. C3×D3×D12 | C22 | semidirect |
| 28. C3×D3×D12 | C22 | semidirect |
| 29. C3×#3799 | C22 | semidirect |
| 30. C3×#3796 | C22 | semidirect |
| 31. C3×#3795 | C22 | semidirect |
| 40. C8×C3⋊(C3⋊D3) | C22 | semidirect |
| 41. C3×#3745 | C22 | semidirect |
| 42. C3×#3744 | C22 | semidirect |
| 43. C3×#3743 | C22 | semidirect |
| 44. C32×D24 | C22 | semidirect |
| 45. C32×#204 | C22 | semidirect |
| 46. C32×ΓL(1,𝔽25) | C22 | semidirect |
| 47. #88811 | C22 | semidirect |
| 48. #88810 | C22 | semidirect |
| 49. #88798 | C22 | semidirect |
| 50. #88789 | C22 | semidirect |
| 51. #88789 | C22 | semidirect |
| 52. #88789 | C22 | semidirect |
| 53. #88788 | C22 | semidirect |
| 54. C3⋊D3×C3⋊C8 | C22 | semidirect |
| 55. D3×C3⋊(C3⋊C8) | C22 | semidirect |
| 56. C3×#3717 | C22 | semidirect |
| 57. C3×#3716 | C22 | semidirect |
| 58. C3×#3715 | C22 | semidirect |
| 59. C3×#3714 | C22 | semidirect |
| 60. C3×#3714 | C22 | semidirect |
| 61. C3×#3713 | C22 | semidirect |
| 101. #63798 | D3 | semidirect |
| 107. #63795 | D3 | semidirect |
| 109. #63794 | D3 | semidirect |
| 197. #3802 | C2×D3 | semidirect |
| 204. D3×D12 | C2×D3 | semidirect |
| 205. D3×D12 | C2×D3 | semidirect |
| 207. #3799 | C2×D3 | semidirect |
| 219. #3796 | C2×D3 | semidirect |
| 223. #3795 | C2×D3 | semidirect |
| 232. #3745 | C2×D3 | semidirect |
| 233. #3744 | C2×D3 | semidirect |
| 235. #3743 | C2×D3 | semidirect |
| 258. C3×D24 | C2×D3 | semidirect |
| 259. C3×D24 | C2×D3 | semidirect |
| 266. C3×#204 | C2×D3 | semidirect |
| 267. C3×#204 | C2×D3 | semidirect |
| 272. C3×ΓL(1,𝔽25) | C2×D3 | semidirect |
| 273. C3×ΓL(1,𝔽25) | C2×D3 | semidirect |
| 278. #3717 | C2×D3 | semidirect |
| 280. #3716 | C2×D3 | semidirect |
| 282. #3715 | C2×D3 | semidirect |
| 285. #3714 | C2×D3 | semidirect |
| 286. #3714 | C2×D3 | semidirect |
| 297. #3713 | C2×D3 | semidirect |
| 676. D24 | D32 | semidirect |
| 683. #204 | D32 | semidirect |
| 691. ΓL(1,𝔽25) | D32 | semidirect |
| 807. C33 | #576 | semidirect |
| 1155. C32 | #5774 | semidirect |
| 1156. C32 | #5774 | semidirect |
| 1157. C32 | #5774 | semidirect |
| 1272. C3 | #10594720 | semidirect |
| 1273. C3 | #10594735 | semidirect |
| 1274. C3 | #10594750 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11724385 | 2 |
| #11724381 | 2 |
| #11723648 | 2 |
| #11723342 | 2 |
| #11723334 | 2 |
| #11723322 | 2 |
| C3×#63798 | 2 |
| C3×#63795 | 2 |
| C3×#63794 | 2 |
| #11722878 | 2 |
| #11722877 | 2 |
| #11722859 | 2 |
| #11722851 | 2 |
| #11722831 | 2 |
| D3×#3713 | 2 |
| #10594750 | 3 |
| #10594735 | 3 |
| #10594720 | 3 |