Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
3057 conjugacy classes of subgroups.
The subgroup lattice has 1078 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596696 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D3×#1009 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10596222 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#5752 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#5750 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10595449 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10595447 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10594714 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #10594713 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #10594712 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | D3×#908 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #10594679 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | #10594678 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | #10594676 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | C2×#63795 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | #87204 | — | 3 | 1 | no | maximal |
| 17 | #87167 | — | 3 | 1 | no | maximal |
| 18 | #64367 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | #64366 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C3×#1009 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C3×#1009 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C3×D3×#41 | C22 | 1 | 1 | yes | characteristic |
| 23 | #64320 | — | 2 | 1 | no | — |
| 24 | #64319 | — | 2 | 1 | no | — |
| 25 | D3×#239 | — | 2 | 1 | no | — |
| 26 | #64315 | — | 2 | 1 | no | — |
| 27 | #64314 | — | 2 | 3 | no | — |
| 28 | #64313 | — | 2 | 3 | no | — |
| 29 | D3×#237 | — | 2 | 3 | no | — |
| 30 | D32×D4 | — | 2 | 3 | no | — |
| 31 | #64308 | C22 | 1 | 3 | yes | complemented |
| 32 | #64307 | C22 | 1 | 3 | yes | complemented |
| 33 | #64307 | C22 | 1 | 3 | yes | complemented |
| 34 | D3×#235 | C22 | 1 | 3 | yes | complemented |
| 35 | D3×#235 | C22 | 1 | 3 | yes | complemented |
| 36 | C2×D3×D12 | C22 | 1 | 3 | yes | complemented |
| 37 | #64298 | C22 | 1 | 3 | yes | complemented |
| 38 | C2×#3795 | C22 | 1 | 3 | yes | complemented |
| 39 | C32×#131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #64118 | C22 | 1 | 3 | yes | complemented |
| 41 | #64117 | C22 | 1 | 3 | yes | complemented |
| 42 | #64113 | C22 | 1 | 3 | yes | complemented |
| 43 | C2×#3744 | C22 | 1 | 3 | yes | complemented |
| 44 | C3×#948 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C3×#908 | C22 | 1 | 3 | yes | complemented |
| 46 | C3×#908 | C22 | 1 | 3 | yes | complemented |
| 47 | C3×#907 | C22 | 1 | 3 | yes | complemented |
| 48 | C3×D3×M16 | C22 | 1 | 3 | yes | complemented |
| 49 | C3×#904 | C22 | 1 | 3 | yes | complemented |
| 50 | C2×C3×D24 | C22 | 1 | 3 | yes | complemented |
| 51 | C3×#901 | C22 | 1 | 3 | yes | complemented |
| 52 | C2×C3×ΓL(1,𝔽25) | C22 | 1 | 3 | yes | complemented |
| 53 | #63831 | C22 | 1 | 3 | yes | complemented |
| 54 | #63830 | C22 | 1 | 3 | yes | complemented |
| 55 | #63830 | C22 | 1 | 3 | yes | complemented |
| 56 | #63829 | C22 | 1 | 3 | yes | complemented |
| 57 | #63829 | C22 | 1 | 3 | yes | complemented |
| 58 | C2×#3716 | C22 | 1 | 3 | yes | complemented |
| 59 | #63825 | C22 | 1 | 3 | yes | complemented |
| 60 | C2×#3714 | C22 | 1 | 3 | yes | complemented |
| 61 | #63807 | C22 | 1 | 6 | yes | complemented |
| 62 | #63806 | C22 | 1 | 6 | yes | complemented |
| 63 | #63801 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #63801 | C22 | 1 | 3 | yes | complemented |
| 65 | #63800 | C22 | 1 | 3 | yes | complemented |
| 66 | #63800 | C22 | 1 | 3 | yes | complemented |
| 67 | #63795 | C22 | 1 | 3 | yes | complemented |
| 68 | #63795 | C22 | 1 | 6 | yes | complemented |
| 69 | #63795 | C22 | 1 | 3 | yes | complemented |
| 70 | #63795 | C22 | 1 | 6 | yes | complemented |
| 71 | #63795 | C22 | 1 | 6 | yes | complemented |
| 72 | #63794 | C22 | 1 | 3 | yes | complemented |
| 73 | #63794 | C22 | 1 | 3 | yes | complemented |
| 74 | D3×D24 | C22 | 1 | 6 | yes | complemented |
| 75 | D3×#204 | C22 | 1 | 6 | yes | complemented |
| 76 | #5966 | — | 3 | 1 | no | — |
| 77 | D3×H(5,𝔽2) | — | 3 | 1 | no | — |
| 78 | #5964 | — | 3 | 1 | no | — |
| 79 | C2×#1009 | — | 3 | 1 | no | — |
| 80 | C3×#576 | — | 3 | 1 | no | — |
| 81 | C3×#568 | — | 3 | 1 | no | — |
| 82 | #5836 | — | 3 | 1 | no | — |
| 83 | #5835 | — | 3 | 1 | no | — |
| 84 | #5775 | — | 3 | 3 | no | — |
| 85 | #5774 | — | 3 | 3 | no | — |
| 86 | #5773 | — | 3 | 3 | no | — |
| 87 | D3×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 88 | #5770 | — | 3 | 3 | no | — |
| 89 | #5768 | — | 3 | 3 | no | — |
| 90 | #5757 | — | 3 | 3 | no | — |
| 91 | C2×#911 | — | 3 | 3 | no | — |
| 92 | #5752 | — | 3 | 1 | no | — |
| 93 | #5752 | — | 3 | 3 | no | — |
| 94 | #5752 | — | 3 | 3 | no | — |
| 95 | #5752 | D3 | 1 | 1 | yes | characteristic, complemented |
| 96 | #5751 | — | 3 | 1 | no | — |
| 97 | #5751 | — | 3 | 1 | no | — |
| 98 | #5751 | — | 3 | 1 | no | — |
| 99 | #5751 | — | 3 | 3 | no | — |
| 100 | #5751 | — | 3 | 3 | no | — |
| 101 | #5751 | — | 6 | 1 | no | — |
| 102 | #5750 | D3 | 1 | 1 | yes | characteristic, complemented |
| 103 | #5748 | — | 3 | 3 | no | — |
| 104 | #5748 | — | 3 | 3 | no | — |
| 105 | C2×#908 | — | 3 | 3 | no | — |
| 106 | C2×#908 | — | 3 | 3 | no | — |
| 107 | C22×D32 | — | 2 | 3 | no | — |
| 108 | C32×#41 | C23 | 1 | 1 | yes | characteristic |
| 109 | #3832 | — | 2 | 1 | no | — |
| 110 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 111 | #3830 | — | 2 | 3 | no | — |
| 112 | D4×C3⋊D3 | — | 2 | 3 | no | — |
| 113 | #3828 | C23 | 1 | 3 | yes | — |
| 114 | #3828 | C23 | 1 | 3 | yes | complemented |
| 115 | C2×C4⋊(C3⋊D3) | C23 | 1 | 3 | yes | — |
| 116 | C2×#634 | C23 | 1 | 3 | yes | complemented |
| 117 | C3×#239 | — | 2 | 1 | no | — |
| 118 | C3×#239 | — | 2 | 1 | no | — |
| 119 | C3×#239 | D4 | 1 | 1 | yes | characteristic |
| 120 | C3×D3×Q8 | D4 | 1 | 1 | yes | characteristic |
| 121 | C3×#237 | D4 | 1 | 3 | yes | — |
| 122 | C3×D3×D4 | — | 2 | 3 | no | — |
| 123 | C3×D3×D4 | — | 2 | 3 | no | — |
| 124 | C3×D3×D4 | D4 | 1 | 3 | yes | — |
| 125 | C3×#235 | C23 | 1 | 3 | yes | — |
| 126 | C3×#235 | C23 | 1 | 3 | yes | — |
| 127 | C3×#235 | C23 | 1 | 3 | yes | complemented |
| 128 | C2×C3×D12 | C23 | 1 | 3 | yes | — |
| 129 | C2×C3×D12 | C23 | 1 | 3 | yes | complemented |
| 130 | C2×C3×C4×D3 | C23 | 1 | 3 | yes | — |
| 131 | #3811 | — | 2 | 6 | no | — |
| 132 | D3×#67 | — | 2 | 3 | no | — |
| 133 | D3×#67 | — | 2 | 3 | no | — |
| 134 | D3×#67 | — | 2 | 6 | no | — |
| 135 | D3×#67 | — | 2 | 6 | no | — |
| 136 | C2×#626 | — | 2 | 3 | no | — |
| 137 | C2×#625 | — | 2 | 3 | no | — |
| 138 | #3805 | — | 2 | 6 | no | — |
| 139 | #3804 | — | 2 | 3 | no | — |
| 140 | #3804 | — | 2 | 3 | no | — |
| 141 | C2×D3×Dic3 | — | 2 | 3 | no | — |
| 142 | #3802 | — | 2 | 3 | no | — |
| 143 | #3802 | — | 2 | 3 | no | — |
| 144 | D3×D12 | — | 2 | 3 | no | — |
| 145 | D3×D12 | — | 2 | 3 | no | — |
| 146 | D3×D12 | — | 2 | 3 | no | — |
| 147 | D3×D12 | C23 | 1 | 3 | yes | — |
| 148 | D3×D12 | C23 | 1 | 6 | yes | — |
| 149 | D3×D12 | C23 | 1 | 3 | yes | complemented |
| 150 | C4×D32 | — | 2 | 3 | no | — |
| 151 | C4×D32 | — | 2 | 3 | no | — |
| 152 | #3799 | — | 2 | 3 | no | — |
| 153 | #3799 | C23 | 1 | 1 | yes | characteristic |
| 154 | #3799 | C23 | 1 | 3 | yes | — |
| 155 | #3798 | — | 2 | 3 | no | — |
| 156 | #3798 | — | 2 | 3 | no | — |
| 157 | #3796 | — | 2 | 3 | no | — |
| 158 | #3796 | — | 2 | 3 | no | — |
| 159 | #3795 | — | 2 | 3 | no | — |
| 160 | #3795 | — | 2 | 3 | no | — |
| 161 | #3795 | — | 2 | 3 | no | — |
| 162 | #3795 | C23 | 1 | 3 | yes | — |
| 163 | #3795 | C23 | 1 | 3 | yes | — |
| 164 | #3795 | C23 | 1 | 6 | yes | complemented |
| 165 | D3×Dic6 | — | 2 | 3 | no | — |
| 166 | D3×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 167 | D3×Dic6 | C23 | 1 | 3 | yes | complemented |
| 168 | C32×M16 | C23 | 1 | 3 | yes | complemented |
| 169 | C2×C32×C8 | C23 | 1 | 3 | yes | complemented |
| 170 | #3746 | C23 | 1 | 3 | yes | complemented |
| 171 | #3745 | C23 | 1 | 3 | yes | complemented |
| 172 | #3744 | C23 | 1 | 6 | yes | complemented |
| 173 | #3744 | C23 | 1 | 3 | yes | complemented |
| 174 | #3744 | C23 | 1 | 1 | yes | characteristic, complemented |
| 175 | C3×#208 | C23 | 1 | 3 | yes | complemented |
| 176 | C2×C3×C3⋊C8 | C23 | 1 | 3 | yes | complemented |
| 177 | C3×Dic12 | C23 | 1 | 1 | yes | characteristic, complemented |
| 178 | C3×D24 | C23 | 1 | 3 | yes | complemented |
| 179 | C3×D24 | C23 | 1 | 6 | yes | complemented |
| 180 | C3×#204 | C23 | 1 | 3 | yes | complemented |
| 181 | C3×#204 | C23 | 1 | 3 | yes | complemented |
| 182 | C3×ΓL(1,𝔽25) | C23 | 1 | 1 | yes | characteristic |
| 183 | C3×ΓL(1,𝔽25) | C23 | 1 | 3 | yes | — |
| 184 | C3×ΓL(1,𝔽25) | C23 | 1 | 3 | yes | complemented |
| 185 | C3×ΓL(1,𝔽25) | C23 | 1 | 3 | yes | complemented |
| 186 | C3×D3×C8 | C23 | 1 | 6 | yes | complemented |
| 187 | #3719 | C23 | 1 | 1 | yes | characteristic, complemented |
| 188 | #3719 | C23 | 1 | 3 | yes | complemented |
| 189 | #3717 | C23 | 1 | 3 | yes | complemented |
| 190 | #3717 | C23 | 1 | 1 | yes | characteristic, complemented |
| 191 | #3716 | C23 | 1 | 6 | yes | complemented |
| 192 | #3716 | C23 | 1 | 3 | yes | complemented |
| 193 | #3716 | C23 | 1 | 3 | yes | complemented |
| 194 | #3714 | C23 | 1 | 3 | yes | complemented |
| 195 | #3714 | C23 | 1 | 6 | yes | complemented |
| 196 | #3714 | C23 | 1 | 3 | yes | complemented |
| 197 | #3585 | — | 9 | 1 | no | Sylow |
| 198 | C3×H(5,𝔽2) | — | 3 | 1 | no | — |
| 199 | C3×H(5,𝔽2) | — | 3 | 1 | no | — |
| 200 | C2×C3×#41 | — | 3 | 1 | no | — |
| 201 | #1010 | — | 3 | 1 | no | — |
| 202 | #1010 | — | 3 | 1 | no | — |
| 203 | #1010 | — | 3 | 3 | no | — |
| 204 | #1010 | — | 3 | 3 | no | — |
| 205 | #1010 | — | 6 | 1 | no | — |
| 206 | #1010 | — | 6 | 1 | no | — |
| 207 | #1009 | — | 3 | 1 | no | — |
| 208 | #1009 | — | 3 | 1 | no | — |
| 209 | #1009 | — | 3 | 3 | no | — |
| 210 | #1009 | — | 3 | 3 | no | — |
| 211 | #1009 | — | 3 | 3 | no | — |
| 212 | #1009 | — | 3 | 3 | no | — |
| 213 | #1009 | — | 6 | 1 | no | — |
| 214 | #1009 | — | 6 | 3 | no | — |
| 215 | #1009 | — | 6 | 1 | no | — |
| 216 | #1009 | — | 6 | 1 | no | — |
| 217 | #1009 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 218 | #1009 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 219 | D3×#41 | — | 3 | 3 | no | — |
| 220 | D3×#41 | — | 3 | 3 | no | — |
| 221 | D3×#41 | — | 6 | 3 | no | — |
| 222 | D3×#41 | — | 6 | 1 | no | — |
| 223 | D3×#41 | — | 6 | 1 | no | — |
| 224 | D3×#41 | — | 6 | 1 | no | — |
| 225 | D3×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 226 | #1007 | — | 6 | 1 | no | — |
| 227 | C2×#239 | — | 6 | 1 | no | — |
| 228 | #1004 | — | 3 | 3 | no | — |
| 229 | #1004 | — | 3 | 3 | no | — |
| 230 | #1004 | — | 6 | 3 | no | — |
| 231 | #1004 | — | 6 | 3 | no | — |
| 232 | #1004 | — | 6 | 3 | no | — |
| 233 | C2×#237 | — | 3 | 3 | no | — |
| 234 | C2×#237 | — | 6 | 3 | no | — |
| 235 | C2×D3×D4 | — | 3 | 3 | no | — |
| 236 | C2×D3×D4 | — | 6 | 3 | no | — |
| 237 | C2×D3×D4 | — | 6 | 3 | no | — |
| 238 | C2×#235 | — | 3 | 3 | no | — |
| 239 | C2×#235 | — | 3 | 3 | no | — |
| 240 | C2×#235 | — | 3 | 3 | no | — |
| 241 | C22×D12 | — | 3 | 3 | no | — |
| 242 | C3×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 243 | C3×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 244 | C3×#135 | — | 3 | 3 | no | — |
| 245 | C2×C3×D8 | — | 3 | 3 | no | — |
| 246 | C3×#131 | — | 2 | 1 | no | — |
| 247 | C3×#131 | — | 3 | 1 | no | — |
| 248 | C3×#131 | — | 3 | 3 | no | — |
| 249 | C3×#131 | — | 3 | 3 | no | — |
| 250 | C3×#131 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 251 | C3×#131 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 252 | C2×C3×M16 | — | 3 | 3 | no | — |
| 253 | C2×C3×M16 | — | 3 | 3 | no | — |
| 254 | #951 | — | 3 | 3 | no | — |
| 255 | #950 | — | 3 | 3 | no | — |
| 256 | #950 | — | 3 | 3 | no | — |
| 257 | #949 | — | 3 | 3 | no | — |
| 258 | #948 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 259 | C2×#214 | — | 3 | 3 | no | — |
| 260 | #932 | — | 3 | 3 | no | — |
| 261 | #932 | — | 3 | 3 | no | — |
| 262 | C2×#213 | — | 3 | 3 | no | — |
| 263 | #918 | — | 3 | 1 | no | — |
| 264 | #918 | — | 3 | 3 | no | — |
| 265 | #916 | — | 3 | 6 | no | — |
| 266 | #915 | — | 3 | 3 | no | — |
| 267 | #915 | — | 3 | 3 | no | — |
| 268 | #914 | — | 3 | 3 | no | — |
| 269 | #914 | — | 3 | 3 | no | — |
| 270 | D3×SD16 | — | 3 | 6 | no | — |
| 271 | #912 | — | 3 | 6 | no | — |
| 272 | #911 | — | 3 | 3 | no | — |
| 273 | #911 | — | 3 | 6 | no | — |
| 274 | #911 | — | 3 | 6 | no | — |
| 275 | #911 | — | 3 | 6 | no | — |
| 276 | #911 | — | 3 | 3 | no | — |
| 277 | D3×D8 | — | 3 | 6 | no | — |
| 278 | #909 | — | 3 | 3 | no | — |
| 279 | #909 | — | 3 | 3 | no | — |
| 280 | #909 | — | 3 | 3 | no | — |
| 281 | #909 | — | 3 | 1 | no | — |
| 282 | #909 | — | 3 | 3 | no | — |
| 283 | #909 | — | 3 | 3 | no | — |
| 284 | #909 | — | 3 | 3 | no | — |
| 285 | #909 | — | 6 | 3 | no | — |
| 286 | #908 | — | 3 | 3 | no | — |
| 287 | #908 | — | 3 | 3 | no | — |
| 288 | #908 | — | 3 | 3 | no | — |
| 289 | #908 | — | 3 | 3 | no | — |
| 290 | #908 | — | 3 | 3 | no | — |
| 291 | #908 | — | 3 | 6 | no | — |
| 292 | #908 | — | 3 | 3 | no | — |
| 293 | #908 | — | 3 | 6 | no | — |
| 294 | #908 | — | 3 | 6 | no | — |
| 295 | #908 | — | 3 | 3 | no | — |
| 296 | #908 | — | 3 | 3 | no | — |
| 297 | #908 | — | 3 | 3 | no | — |
| 298 | #908 | — | 6 | 3 | no | — |
| 299 | #908 | C2×D3 | 1 | 3 | yes | complemented |
| 300 | #908 | C2×D3 | 1 | 3 | yes | complemented |
| 301 | #907 | C2×D3 | 1 | 3 | yes | complemented |
| 302 | D3×M16 | C2×D3 | 1 | 3 | yes | complemented |
| 303 | #904 | — | 3 | 3 | no | — |
| 304 | #904 | — | 3 | 3 | no | — |
| 305 | #904 | — | 3 | 3 | no | — |
| 306 | #904 | — | 3 | 3 | no | — |
| 307 | #904 | — | 3 | 6 | no | — |
| 308 | #904 | — | 3 | 6 | no | — |
| 309 | #904 | — | 6 | 3 | no | — |
| 310 | #904 | C2×D3 | 1 | 3 | yes | complemented |
| 311 | C2×D24 | — | 3 | 3 | no | — |
| 312 | C2×D24 | — | 3 | 6 | no | — |
| 313 | C2×D24 | C2×D3 | 1 | 3 | yes | complemented |
| 314 | C2×#204 | — | 3 | 3 | no | — |
| 315 | C2×#204 | — | 3 | 3 | no | — |
| 316 | C2×#204 | — | 3 | 3 | no | — |
| 317 | C2×#204 | — | 3 | 6 | no | — |
| 318 | C2×#204 | — | 6 | 3 | no | — |
| 319 | #901 | C2×D3 | 1 | 3 | yes | complemented |
| 320 | C2×ΓL(1,𝔽25) | C2×D3 | 1 | 3 | yes | complemented |
| 321 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 322 | C22×C3×D3 | — | 2 | 3 | no | — |
| 323 | C22×C3×D3 | — | 2 | 3 | no | — |
| 324 | C22×C3×D3 | C2×D4 | 1 | 3 | yes | — |
| 325 | C2×D32 | — | 2 | 3 | no | — |
| 326 | C2×D32 | — | 2 | 6 | no | — |
| 327 | C2×D32 | — | 2 | 3 | no | — |
| 328 | C2×D32 | — | 8 | 6 | no | — |
| 329 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 330 | C32×D4 | C2×D4 | 1 | 3 | yes | — |
| 331 | C2×C32×C4 | C24 | 1 | 3 | yes | — |
| 332 | #638 | — | 2 | 3 | no | — |
| 333 | #638 | — | 2 | 3 | no | — |
| 334 | C2×C3⋊Dic3 | — | 2 | 3 | no | — |
| 335 | C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 336 | C4⋊(C3⋊D3) | C24 | 1 | 3 | yes | — |
| 337 | C4⋊(C3⋊D3) | C24 | 1 | 1 | yes | characteristic |
| 338 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 339 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 340 | #634 | — | 2 | 3 | no | — |
| 341 | #634 | C24 | 1 | 3 | yes | — |
| 342 | #634 | C24 | 1 | 1 | yes | characteristic |
| 343 | C3×#67 | — | 2 | 3 | no | — |
| 344 | C3×#67 | — | 2 | 3 | no | — |
| 345 | C3×#67 | C2×D4 | 1 | 6 | yes | — |
| 346 | C2×C3×Dic3 | C2×D4 | 1 | 3 | yes | — |
| 347 | C3×D12 | — | 2 | 3 | no | — |
| 348 | C3×D12 | — | 2 | 3 | no | — |
| 349 | C3×D12 | C2×D4 | 1 | 3 | yes | — |
| 350 | C3×D12 | C24 | 1 | 3 | yes | — |
| 351 | C3×D12 | C24 | 1 | 3 | yes | — |
| 352 | C3×C4×D3 | — | 2 | 3 | no | — |
| 353 | C3×C4×D3 | — | 2 | 3 | no | — |
| 354 | C3×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 355 | C3×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 356 | C3×C4×D3 | C24 | 1 | 3 | yes | — |
| 357 | C3×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 358 | C3×Dic6 | C2×D4 | 1 | 3 | yes | — |
| 359 | C3×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 360 | C3×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 361 | #627 | — | 2 | 3 | no | — |
| 362 | #627 | — | 2 | 1 | no | — |
| 363 | #626 | — | 2 | 1 | no | — |
| 364 | #626 | — | 2 | 3 | no | — |
| 365 | #626 | — | 2 | 3 | no | — |
| 366 | #626 | — | 2 | 6 | no | — |
| 367 | #626 | — | 2 | 3 | no | — |
| 368 | #625 | — | 2 | 3 | no | — |
| 369 | #625 | — | 2 | 6 | no | — |
| 370 | #625 | — | 2 | 3 | no | — |
| 371 | #624 | — | 2 | 3 | no | — |
| 372 | #624 | — | 2 | 1 | no | — |
| 373 | D3×Dic3 | — | 2 | 1 | no | — |
| 374 | D3×Dic3 | — | 2 | 3 | no | — |
| 375 | D3×Dic3 | — | 2 | 6 | no | — |
| 376 | D3×Dic3 | — | 2 | 3 | no | — |
| 377 | D3×Dic3 | — | 2 | 3 | no | — |
| 378 | C32×C8 | C24 | 1 | 3 | yes | — |
| 379 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 380 | C3×C3⋊C8 | C24 | 1 | 3 | yes | — |
| 381 | C3×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 382 | #585 | — | 9 | 1 | no | — |
| 383 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 384 | #577 | — | 9 | 3 | no | — |
| 385 | #577 | — | 9 | 3 | no | — |
| 386 | #577 | — | 9 | 1 | no | — |
| 387 | #577 | — | 9 | 1 | no | — |
| 388 | #576 | — | 3 | 1 | no | — |
| 389 | #576 | — | 9 | 3 | no | — |
| 390 | #576 | — | 9 | 3 | no | — |
| 391 | #576 | — | 9 | 1 | no | — |
| 392 | #575 | — | 9 | 3 | no | — |
| 393 | #575 | — | 9 | 3 | no | — |
| 394 | C2×AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 395 | C2×AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 396 | #568 | — | 3 | 1 | no | — |
| 397 | C23×D3 | — | 6 | 3 | no | — |
| 398 | C23×D3 | — | 6 | 3 | no | — |
| 399 | C3×#41 | — | 2 | 1 | no | — |
| 400 | C3×#41 | — | 3 | 1 | no | — |
| 401 | C3×#41 | — | 3 | 3 | no | — |
| 402 | C3×#41 | — | 3 | 3 | no | — |
| 403 | C3×#41 | — | 3 | 3 | no | — |
| 404 | C3×#41 | — | 3 | 3 | no | — |
| 405 | C3×#41 | — | 6 | 1 | no | — |
| 406 | C3×#41 | — | 6 | 1 | no | — |
| 407 | C3×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 408 | C3×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 409 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 410 | C2×C3×D4 | — | 3 | 3 | no | — |
| 411 | C2×C3×D4 | — | 3 | 3 | no | — |
| 412 | C2×C3×D4 | — | 3 | 3 | no | — |
| 413 | C2×C3×D4 | — | 6 | 3 | no | — |
| 414 | C2×C3×D4 | — | 6 | 3 | no | — |
| 415 | C22×C3×C4 | — | 3 | 3 | no | — |
| 416 | C2×#67 | — | 6 | 3 | no | — |
| 417 | C2×#67 | — | 6 | 3 | no | — |
| 418 | C2×#67 | — | 6 | 3 | no | — |
| 419 | C2×#67 | — | 6 | 3 | no | — |
| 420 | C2×#67 | — | 6 | 6 | no | — |
| 421 | C2×#67 | — | 6 | 6 | no | — |
| 422 | C2×#67 | — | 6 | 3 | no | — |
| 423 | C22×Dic3 | — | 6 | 3 | no | — |
| 424 | #239 | — | 2 | 1 | no | — |
| 425 | #239 | — | 2 | 1 | no | — |
| 426 | #239 | — | 3 | 1 | no | — |
| 427 | #239 | — | 3 | 3 | no | — |
| 428 | #239 | — | 6 | 3 | no | — |
| 429 | #239 | — | 6 | 3 | no | — |
| 430 | #239 | — | 6 | 3 | no | — |
| 431 | #239 | — | 6 | 1 | no | — |
| 432 | #239 | — | 6 | 1 | no | — |
| 433 | #239 | — | 12 | 1 | no | — |
| 434 | #239 | D12 | 1 | 1 | yes | characteristic |
| 435 | D3×Q8 | — | 3 | 3 | no | — |
| 436 | D3×Q8 | — | 3 | 1 | no | — |
| 437 | D3×Q8 | — | 6 | 3 | no | — |
| 438 | D3×Q8 | — | 6 | 1 | no | — |
| 439 | D3×Q8 | — | 6 | 1 | no | — |
| 440 | D3×Q8 | — | 12 | 1 | no | — |
| 441 | D3×Q8 | D12 | 1 | 1 | yes | characteristic |
| 442 | #237 | — | 3 | 3 | no | — |
| 443 | #237 | — | 3 | 6 | no | — |
| 444 | #237 | — | 3 | 3 | no | — |
| 445 | #237 | — | 6 | 3 | no | — |
| 446 | #237 | — | 6 | 6 | no | — |
| 447 | #237 | — | 6 | 3 | no | — |
| 448 | #237 | — | 6 | 3 | no | — |
| 449 | #237 | — | 6 | 6 | no | — |
| 450 | #237 | — | 6 | 3 | no | — |
| 451 | #237 | — | 6 | 3 | no | — |
| 452 | #237 | — | 6 | 3 | no | — |
| 453 | #237 | — | 6 | 3 | no | — |
| 454 | #237 | — | 6 | 3 | no | — |
| 455 | #237 | — | 6 | 3 | no | — |
| 456 | #237 | — | 12 | 3 | no | — |
| 457 | #237 | D12 | 1 | 3 | yes | — |
| 458 | D3×D4 | — | 2 | 3 | no | — |
| 459 | D3×D4 | — | 2 | 3 | no | — |
| 460 | D3×D4 | — | 3 | 3 | no | — |
| 461 | D3×D4 | — | 3 | 6 | no | — |
| 462 | D3×D4 | — | 3 | 3 | no | — |
| 463 | D3×D4 | — | 6 | 3 | no | — |
| 464 | D3×D4 | — | 6 | 3 | no | — |
| 465 | D3×D4 | — | 6 | 3 | no | — |
| 466 | D3×D4 | — | 6 | 6 | no | — |
| 467 | D3×D4 | — | 6 | 6 | no | — |
| 468 | D3×D4 | — | 6 | 6 | no | — |
| 469 | D3×D4 | — | 6 | 3 | no | — |
| 470 | D3×D4 | — | 6 | 3 | no | — |
| 471 | D3×D4 | — | 6 | 3 | no | — |
| 472 | D3×D4 | — | 6 | 3 | no | — |
| 473 | D3×D4 | — | 6 | 6 | no | — |
| 474 | D3×D4 | — | 6 | 3 | no | — |
| 475 | D3×D4 | — | 6 | 3 | no | — |
| 476 | D3×D4 | — | 6 | 3 | no | — |
| 477 | D3×D4 | — | 6 | 3 | no | — |
| 478 | D3×D4 | — | 12 | 3 | no | — |
| 479 | D3×D4 | D12 | 1 | 3 | yes | — |
| 480 | #235 | — | 3 | 3 | no | — |
| 481 | #235 | — | 3 | 3 | no | — |
| 482 | #235 | — | 3 | 3 | no | — |
| 483 | #235 | — | 3 | 3 | no | — |
| 484 | #235 | — | 3 | 6 | no | — |
| 485 | #235 | — | 3 | 3 | no | — |
| 486 | #235 | — | 3 | 3 | no | — |
| 487 | #235 | — | 3 | 3 | no | — |
| 488 | #235 | — | 3 | 1 | no | — |
| 489 | #235 | — | 6 | 3 | no | — |
| 490 | #235 | — | 6 | 3 | no | — |
| 491 | #235 | — | 6 | 3 | no | — |
| 492 | #235 | — | 6 | 3 | no | — |
| 493 | #235 | — | 6 | 3 | no | — |
| 494 | #235 | — | 6 | 3 | no | — |
| 495 | #235 | — | 6 | 3 | no | — |
| 496 | #235 | — | 6 | 3 | no | — |
| 497 | #235 | — | 6 | 3 | no | — |
| 498 | #235 | — | 6 | 3 | no | — |
| 499 | #235 | — | 6 | 3 | no | — |
| 500 | #235 | — | 6 | 3 | no | — |
| 501 | #235 | C22×D3 | 1 | 3 | yes | — |
| 502 | #235 | C22×D3 | 1 | 3 | yes | — |
| 503 | #235 | C22×D3 | 1 | 3 | yes | complemented |
| 504 | C2×D12 | — | 3 | 3 | no | — |
| 505 | C2×D12 | — | 3 | 3 | no | — |
| 506 | C2×D12 | — | 3 | 6 | no | — |
| 507 | C2×D12 | — | 3 | 3 | no | — |
| 508 | C2×D12 | — | 3 | 3 | no | — |
| 509 | C2×D12 | — | 6 | 3 | no | — |
| 510 | C2×D12 | — | 6 | 3 | no | — |
| 511 | C2×D12 | — | 6 | 3 | no | — |
| 512 | C2×D12 | — | 6 | 3 | no | — |
| 513 | C2×D12 | — | 6 | 3 | no | — |
| 514 | C2×D12 | C22×D3 | 1 | 3 | yes | — |
| 515 | C2×D12 | C22×D3 | 1 | 3 | yes | complemented |
| 516 | C2×C4×D3 | — | 6 | 3 | no | — |
| 517 | C2×C4×D3 | — | 6 | 3 | no | — |
| 518 | C2×C4×D3 | — | 6 | 3 | no | — |
| 519 | C2×C4×D3 | — | 6 | 3 | no | — |
| 520 | C2×C4×D3 | — | 6 | 3 | no | — |
| 521 | C2×C4×D3 | C22×D3 | 1 | 3 | yes | — |
| 522 | C2×Dic6 | — | 3 | 3 | no | — |
| 523 | C2×Dic6 | — | 3 | 3 | no | — |
| 524 | C2×Dic6 | — | 3 | 3 | no | — |
| 525 | C2×Dic6 | — | 3 | 1 | no | — |
| 526 | C2×Dic6 | — | 6 | 3 | no | — |
| 527 | C2×Dic6 | — | 6 | 3 | no | — |
| 528 | C3×Q16 | — | 3 | 1 | no | — |
| 529 | C3×SD16 | — | 3 | 3 | no | — |
| 530 | C3×SD16 | — | 3 | 3 | no | — |
| 531 | C3×D8 | — | 3 | 6 | no | — |
| 532 | C3×D8 | — | 3 | 3 | no | — |
| 533 | C3×M16 | — | 2 | 3 | no | — |
| 534 | C3×M16 | — | 3 | 3 | no | — |
| 535 | C3×M16 | — | 3 | 1 | no | — |
| 536 | C3×M16 | — | 3 | 3 | no | — |
| 537 | C3×M16 | — | 3 | 3 | no | — |
| 538 | C3×M16 | — | 3 | 3 | no | — |
| 539 | C3×M16 | C22×D3 | 1 | 3 | yes | complemented |
| 540 | C3×M16 | C22×D3 | 1 | 3 | yes | complemented |
| 541 | C2×C3×C8 | — | 2 | 3 | no | — |
| 542 | C2×C3×C8 | — | 3 | 3 | no | — |
| 543 | C2×C3×C8 | — | 3 | 6 | no | — |
| 544 | C2×C3×C8 | C22×D3 | 1 | 3 | yes | complemented |
| 545 | C2×C3×C8 | C22×D3 | 1 | 3 | yes | complemented |
| 546 | #216 | — | 3 | 1 | no | — |
| 547 | #216 | — | 3 | 3 | no | — |
| 548 | #215 | — | 3 | 3 | no | — |
| 549 | #215 | — | 3 | 1 | no | — |
| 550 | #214 | — | 3 | 3 | no | — |
| 551 | #214 | — | 3 | 6 | no | — |
| 552 | #214 | — | 3 | 3 | no | — |
| 553 | #213 | — | 3 | 3 | no | — |
| 554 | #213 | — | 3 | 6 | no | — |
| 555 | #213 | — | 3 | 3 | no | — |
| 556 | #208 | C22×D3 | 1 | 3 | yes | complemented |
| 557 | C2×C3⋊C8 | C22×D3 | 1 | 3 | yes | complemented |
| 558 | Dic12 | — | 3 | 3 | no | — |
| 559 | Dic12 | — | 3 | 1 | no | — |
| 560 | Dic12 | — | 3 | 3 | no | — |
| 561 | Dic12 | — | 3 | 3 | no | — |
| 562 | Dic12 | — | 6 | 3 | no | — |
| 563 | Dic12 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 564 | D24 | — | 3 | 6 | no | — |
| 565 | D24 | — | 3 | 3 | no | — |
| 566 | D24 | — | 3 | 3 | no | — |
| 567 | D24 | — | 3 | 3 | no | — |
| 568 | D24 | — | 3 | 3 | no | — |
| 569 | D24 | — | 6 | 3 | no | — |
| 570 | D24 | C22×D3 | 1 | 6 | yes | complemented |
| 571 | D24 | C22×D3 | 1 | 3 | yes | complemented |
| 572 | #204 | — | 3 | 6 | no | — |
| 573 | #204 | — | 3 | 3 | no | — |
| 574 | #204 | — | 3 | 3 | no | — |
| 575 | #204 | — | 3 | 3 | no | — |
| 576 | #204 | — | 3 | 1 | no | — |
| 577 | #204 | — | 3 | 3 | no | — |
| 578 | #204 | — | 3 | 6 | no | — |
| 579 | #204 | — | 3 | 3 | no | — |
| 580 | #204 | — | 3 | 6 | no | — |
| 581 | #204 | — | 3 | 1 | no | — |
| 582 | #204 | — | 3 | 1 | no | — |
| 583 | #204 | — | 6 | 3 | no | — |
| 584 | #204 | — | 6 | 6 | no | — |
| 585 | #204 | — | 6 | 1 | no | — |
| 586 | #204 | C22×D3 | 1 | 3 | yes | complemented |
| 587 | #204 | C22×D3 | 1 | 3 | yes | complemented |
| 588 | ΓL(1,𝔽25) | C22×D3 | 1 | 1 | yes | characteristic |
| 589 | ΓL(1,𝔽25) | C22×D3 | 1 | 3 | yes | — |
| 590 | ΓL(1,𝔽25) | C22×D3 | 1 | 3 | yes | complemented |
| 591 | ΓL(1,𝔽25) | C22×D3 | 1 | 3 | yes | complemented |
| 592 | D3×C8 | C22×D3 | 1 | 6 | yes | complemented |
| 593 | C22×C32 | C22×D4 | 1 | 3 | yes | — |
| 594 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 595 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 596 | C2×C3⋊D3 | — | 8 | 3 | no | — |
| 597 | C2×C3×D3 | — | 2 | 3 | no | — |
| 598 | C2×C3×D3 | — | 2 | 3 | no | — |
| 599 | C2×C3×D3 | — | 4 | 3 | no | — |
| 600 | C2×C3×D3 | — | 8 | 3 | no | — |
| 601 | C2×C3×D3 | — | 8 | 3 | no | — |
| 602 | C2×C3×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 603 | C2×C3×D3 | C22×D4 | 1 | 3 | yes | — |
| 604 | D32 | — | 4 | 6 | no | — |
| 605 | D32 | — | 8 | 3 | no | — |
| 606 | D32 | — | 8 | 6 | no | — |
| 607 | C32×C4 | C22×D4 | 1 | 3 | yes | — |
| 608 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 609 | C3⋊Dic3 | — | 2 | 3 | no | — |
| 610 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 611 | C3×Dic3 | — | 2 | 1 | no | — |
| 612 | C3×Dic3 | — | 2 | 1 | no | — |
| 613 | C3×Dic3 | C22×D4 | 1 | 3 | yes | — |
| 614 | C3×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 615 | 2−1+4 | — | 9 | 3 | no | — |
| 616 | 2−1+4 | — | 9 | 1 | no | — |
| 617 | 2−1+4 | — | 18 | 1 | no | — |
| 618 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 619 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 620 | H(5,𝔽2) | — | 9 | 3 | no | — |
| 621 | H(5,𝔽2) | — | 9 | 3 | no | — |
| 622 | H(5,𝔽2) | — | 9 | 3 | no | — |
| 623 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 624 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 625 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 626 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 627 | C2×#41 | — | 3 | 1 | no | — |
| 628 | C2×#41 | — | 9 | 3 | no | — |
| 629 | C2×#41 | — | 9 | 3 | no | — |
| 630 | C2×#41 | — | 9 | 3 | no | — |
| 631 | C2×#41 | — | 18 | 3 | no | — |
| 632 | C2×#41 | — | 18 | 1 | no | — |
| 633 | C2×#41 | — | 18 | 1 | no | — |
| 634 | C22×D4 | — | 9 | 3 | no | — |
| 635 | C22×D4 | — | 18 | 3 | no | — |
| 636 | #137 | — | 9 | 3 | no | — |
| 637 | #137 | — | 9 | 3 | no | — |
| 638 | #137 | — | 9 | 1 | no | — |
| 639 | #137 | — | 9 | 3 | no | — |
| 640 | #137 | — | 9 | 3 | no | — |
| 641 | #137 | — | 9 | 3 | no | — |
| 642 | AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 643 | AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 644 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 645 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 646 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 647 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 648 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 649 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 650 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 651 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 652 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 653 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 654 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 655 | #135 | — | 3 | 3 | no | — |
| 656 | #135 | — | 9 | 6 | no | — |
| 657 | #135 | — | 9 | 6 | no | — |
| 658 | #135 | — | 9 | 3 | no | — |
| 659 | #135 | — | 9 | 3 | no | — |
| 660 | #135 | — | 9 | 3 | no | — |
| 661 | C2×SD16 | — | 9 | 6 | no | — |
| 662 | C2×SD16 | — | 9 | 3 | no | — |
| 663 | C2×SD16 | — | 9 | 3 | no | — |
| 664 | C2×D8 | — | 3 | 3 | no | — |
| 665 | C2×D8 | — | 9 | 6 | no | — |
| 666 | C2×D8 | — | 9 | 3 | no | — |
| 667 | #131 | — | 3 | 1 | no | — |
| 668 | #131 | — | 3 | 3 | no | — |
| 669 | #131 | — | 3 | 3 | no | — |
| 670 | #131 | D32 | 1 | 1 | yes | characteristic, complemented |
| 671 | C2×M16 | — | 3 | 3 | no | — |
| 672 | C2×M16 | — | 3 | 3 | no | — |
| 673 | C23×C3 | — | 3 | 3 | no | — |
| 674 | C23×C3 | — | 6 | 3 | no | — |
| 675 | C23×C3 | — | 6 | 3 | no | — |
| 676 | C22×D3 | — | 2 | 3 | no | — |
| 677 | C22×D3 | — | 2 | 3 | no | — |
| 678 | C22×D3 | — | 6 | 3 | no | — |
| 679 | C22×D3 | — | 6 | 3 | no | — |
| 680 | C22×D3 | — | 6 | 6 | no | — |
| 681 | C22×D3 | — | 6 | 3 | no | — |
| 682 | C22×D3 | — | 6 | 3 | no | — |
| 683 | C22×D3 | — | 6 | 3 | no | — |
| 684 | C22×D3 | — | 6 | 3 | no | — |
| 685 | C22×D3 | — | 6 | 6 | no | — |
| 686 | C22×D3 | — | 12 | 3 | no | — |
| 687 | C22×D3 | — | 24 | 6 | no | — |
| 688 | C22×D3 | — | 24 | 6 | no | — |
| 689 | C22×D3 | C2×D12 | 1 | 3 | yes | — |
| 690 | C3×Q8 | — | 2 | 1 | no | — |
| 691 | C3×Q8 | — | 3 | 3 | no | — |
| 692 | C3×Q8 | — | 3 | 1 | no | — |
| 693 | C3×Q8 | — | 3 | 1 | no | — |
| 694 | C3×Q8 | C2×D12 | 1 | 1 | yes | characteristic |
| 695 | C3×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 696 | C3×D4 | — | 2 | 3 | no | — |
| 697 | C3×D4 | — | 3 | 6 | no | — |
| 698 | C3×D4 | — | 3 | 3 | no | — |
| 699 | C3×D4 | — | 3 | 3 | no | — |
| 700 | C3×D4 | — | 3 | 3 | no | — |
| 701 | C3×D4 | — | 6 | 3 | no | — |
| 702 | C3×D4 | — | 6 | 3 | no | — |
| 703 | C3×D4 | — | 6 | 3 | no | — |
| 704 | C3×D4 | — | 6 | 3 | no | — |
| 705 | C3×D4 | C2×D12 | 1 | 3 | yes | — |
| 706 | C3×D4 | D3×D4 | 1 | 3 | yes | — |
| 707 | C2×C3×C4 | — | 2 | 3 | no | — |
| 708 | C2×C3×C4 | — | 3 | 3 | no | — |
| 709 | C2×C3×C4 | — | 3 | 3 | no | — |
| 710 | C2×C3×C4 | — | 3 | 3 | no | — |
| 711 | C2×C3×C4 | — | 3 | 3 | no | — |
| 712 | C2×C3×C4 | — | 3 | 1 | no | — |
| 713 | C2×C3×C4 | — | 6 | 3 | no | — |
| 714 | C2×C3×C4 | — | 6 | 3 | no | — |
| 715 | C2×C3×C4 | C23×D3 | 1 | 3 | yes | — |
| 716 | C2×C3×C4 | C23×D3 | 1 | 3 | yes | — |
| 717 | #67 | — | 2 | 3 | no | — |
| 718 | #67 | — | 2 | 3 | no | — |
| 719 | #67 | — | 6 | 1 | no | — |
| 720 | #67 | — | 6 | 3 | no | — |
| 721 | #67 | — | 6 | 3 | no | — |
| 722 | #67 | — | 6 | 3 | no | — |
| 723 | #67 | — | 6 | 6 | no | — |
| 724 | #67 | — | 6 | 3 | no | — |
| 725 | #67 | — | 6 | 3 | no | — |
| 726 | #67 | — | 6 | 3 | no | — |
| 727 | #67 | — | 6 | 3 | no | — |
| 728 | #67 | — | 6 | 3 | no | — |
| 729 | #67 | — | 6 | 3 | no | — |
| 730 | #67 | — | 6 | 6 | no | — |
| 731 | #67 | — | 6 | 6 | no | — |
| 732 | #67 | — | 6 | 3 | no | — |
| 733 | #67 | — | 6 | 3 | no | — |
| 734 | #67 | — | 12 | 3 | no | — |
| 735 | #67 | — | 12 | 3 | no | — |
| 736 | #67 | C2×D12 | 1 | 6 | yes | — |
| 737 | C2×Dic3 | — | 6 | 1 | no | — |
| 738 | C2×Dic3 | — | 6 | 3 | no | — |
| 739 | C2×Dic3 | — | 6 | 3 | no | — |
| 740 | C2×Dic3 | — | 6 | 3 | no | — |
| 741 | C2×Dic3 | — | 6 | 6 | no | — |
| 742 | C2×Dic3 | — | 6 | 3 | no | — |
| 743 | C2×Dic3 | — | 6 | 3 | no | — |
| 744 | C2×Dic3 | — | 12 | 3 | no | — |
| 745 | C2×Dic3 | C2×D12 | 1 | 3 | yes | — |
| 746 | D12 | — | 2 | 3 | no | — |
| 747 | D12 | — | 2 | 3 | no | — |
| 748 | D12 | — | 3 | 3 | no | — |
| 749 | D12 | — | 3 | 3 | no | — |
| 750 | D12 | — | 3 | 1 | no | — |
| 751 | D12 | — | 3 | 1 | no | — |
| 752 | D12 | — | 6 | 3 | no | — |
| 753 | D12 | — | 6 | 1 | no | — |
| 754 | D12 | — | 6 | 3 | no | — |
| 755 | D12 | — | 6 | 6 | no | — |
| 756 | D12 | — | 6 | 3 | no | — |
| 757 | D12 | — | 6 | 3 | no | — |
| 758 | D12 | — | 6 | 1 | no | — |
| 759 | D12 | — | 6 | 3 | no | — |
| 760 | D12 | — | 6 | 3 | no | — |
| 761 | D12 | — | 12 | 3 | no | — |
| 762 | D12 | C2×D12 | 1 | 3 | yes | — |
| 763 | D12 | C23×D3 | 1 | 3 | yes | — |
| 764 | D12 | C23×D3 | 1 | 3 | yes | — |
| 765 | C4×D3 | — | 2 | 3 | no | — |
| 766 | C4×D3 | — | 2 | 3 | no | — |
| 767 | C4×D3 | — | 6 | 1 | no | — |
| 768 | C4×D3 | — | 6 | 3 | no | — |
| 769 | C4×D3 | — | 6 | 3 | no | — |
| 770 | C4×D3 | — | 6 | 3 | no | — |
| 771 | C4×D3 | — | 6 | 6 | no | — |
| 772 | C4×D3 | — | 6 | 1 | no | — |
| 773 | C4×D3 | — | 6 | 3 | no | — |
| 774 | C4×D3 | — | 6 | 3 | no | — |
| 775 | C4×D3 | — | 6 | 3 | no | — |
| 776 | C4×D3 | — | 6 | 3 | no | — |
| 777 | C4×D3 | — | 6 | 3 | no | — |
| 778 | C4×D3 | — | 6 | 1 | no | — |
| 779 | C4×D3 | — | 6 | 3 | no | — |
| 780 | C4×D3 | — | 12 | 3 | no | — |
| 781 | C4×D3 | — | 12 | 3 | no | — |
| 782 | C4×D3 | C2×D12 | 1 | 3 | yes | — |
| 783 | C4×D3 | C2×D12 | 1 | 3 | yes | — |
| 784 | C4×D3 | C23×D3 | 1 | 3 | yes | — |
| 785 | C4×D3 | C23×D3 | 1 | 1 | yes | characteristic |
| 786 | Dic6 | — | 3 | 3 | no | — |
| 787 | Dic6 | — | 3 | 1 | no | — |
| 788 | Dic6 | — | 3 | 3 | no | — |
| 789 | Dic6 | — | 3 | 1 | no | — |
| 790 | Dic6 | — | 6 | 3 | no | — |
| 791 | Dic6 | — | 6 | 1 | no | — |
| 792 | Dic6 | — | 6 | 1 | no | — |
| 793 | Dic6 | — | 6 | 3 | no | — |
| 794 | Dic6 | — | 6 | 3 | no | — |
| 795 | Dic6 | — | 6 | 3 | no | — |
| 796 | Dic6 | — | 6 | 3 | no | — |
| 797 | Dic6 | — | 6 | 1 | no | — |
| 798 | Dic6 | — | 12 | 3 | no | — |
| 799 | Dic6 | C2×D12 | 1 | 3 | yes | — |
| 800 | Dic6 | C23×D3 | 1 | 1 | yes | characteristic |
| 801 | Dic6 | C23×D3 | 1 | 1 | yes | characteristic |
| 802 | C3×C8 | — | 2 | 1 | no | — |
| 803 | C3×C8 | — | 2 | 3 | no | — |
| 804 | C3×C8 | — | 3 | 3 | no | — |
| 805 | C3×C8 | — | 3 | 1 | no | — |
| 806 | C3×C8 | C23×D3 | 1 | 3 | yes | — |
| 807 | C3×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 808 | C3×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 809 | C3×C8 | C23×D3 | 1 | 3 | yes | — |
| 810 | C3⋊C8 | C23×D3 | 1 | 3 | yes | — |
| 811 | C3⋊C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 812 | C2×C32 | — | 2 | 3 | no | — |
| 813 | C2×C32 | C23×D4 | 1 | 1 | yes | characteristic |
| 814 | C3⋊D3 | — | 4 | 3 | no | — |
| 815 | C3⋊D3 | — | 4 | 1 | no | — |
| 816 | C3×D3 | — | 2 | 1 | no | — |
| 817 | C3×D3 | — | 2 | 3 | no | — |
| 818 | C3×D3 | — | 4 | 3 | no | — |
| 819 | C3×D3 | — | 4 | 3 | no | — |
| 820 | C24 | — | 18 | 3 | no | — |
| 821 | #41 | — | 3 | 1 | no | — |
| 822 | #41 | — | 3 | 3 | no | — |
| 823 | #41 | — | 3 | 3 | no | — |
| 824 | #41 | — | 3 | 3 | no | — |
| 825 | #41 | — | 3 | 3 | no | — |
| 826 | #41 | — | 6 | 1 | no | — |
| 827 | #41 | — | 6 | 1 | no | — |
| 828 | #41 | — | 9 | 6 | no | — |
| 829 | #41 | — | 9 | 3 | no | — |
| 830 | #41 | — | 9 | 3 | no | — |
| 831 | #41 | — | 9 | 3 | no | — |
| 832 | #41 | — | 9 | 1 | no | — |
| 833 | #41 | — | 9 | 3 | no | — |
| 834 | #41 | — | 9 | 3 | no | — |
| 835 | #41 | — | 18 | 3 | no | — |
| 836 | #41 | — | 18 | 3 | no | — |
| 837 | #41 | — | 18 | 3 | no | — |
| 838 | #41 | — | 18 | 3 | no | — |
| 839 | #41 | — | 18 | 3 | no | — |
| 840 | #41 | — | 18 | 3 | no | — |
| 841 | #41 | — | 18 | 3 | no | — |
| 842 | #41 | — | 18 | 3 | no | — |
| 843 | #41 | — | 18 | 6 | no | — |
| 844 | #41 | — | 18 | 3 | no | — |
| 845 | #41 | — | 18 | 3 | no | — |
| 846 | #41 | — | 18 | 1 | no | — |
| 847 | #41 | — | 18 | 3 | no | — |
| 848 | #41 | C2×D32 | 1 | 1 | yes | characteristic |
| 849 | C2×Q8 | — | 3 | 1 | no | — |
| 850 | C2×Q8 | — | 9 | 3 | no | — |
| 851 | C2×Q8 | — | 9 | 1 | no | — |
| 852 | C2×Q8 | — | 9 | 3 | no | — |
| 853 | C2×Q8 | — | 18 | 3 | no | — |
| 854 | C2×Q8 | — | 18 | 1 | no | — |
| 855 | C2×D4 | — | 3 | 3 | no | — |
| 856 | C2×D4 | — | 3 | 3 | no | — |
| 857 | C2×D4 | — | 3 | 3 | no | — |
| 858 | C2×D4 | — | 6 | 3 | no | — |
| 859 | C2×D4 | — | 6 | 3 | no | — |
| 860 | C2×D4 | — | 9 | 3 | no | — |
| 861 | C2×D4 | — | 9 | 6 | no | — |
| 862 | C2×D4 | — | 9 | 3 | no | — |
| 863 | C2×D4 | — | 9 | 3 | no | — |
| 864 | C2×D4 | — | 18 | 3 | no | — |
| 865 | C2×D4 | — | 18 | 3 | no | — |
| 866 | C2×D4 | — | 18 | 3 | no | — |
| 867 | C2×D4 | — | 18 | 3 | no | — |
| 868 | C2×D4 | — | 18 | 6 | no | — |
| 869 | C2×D4 | — | 18 | 3 | no | — |
| 870 | C2×D4 | — | 18 | 3 | no | — |
| 871 | C2×D4 | — | 18 | 6 | no | — |
| 872 | C2×D4 | — | 18 | 6 | no | — |
| 873 | C2×D4 | — | 18 | 3 | no | — |
| 874 | C2×D4 | — | 18 | 3 | no | — |
| 875 | C2×D4 | — | 18 | 3 | no | — |
| 876 | C2×D4 | — | 18 | 3 | no | — |
| 877 | C22×C4 | — | 3 | 3 | no | — |
| 878 | C22×C4 | — | 18 | 3 | no | — |
| 879 | C22×C4 | — | 18 | 3 | no | — |
| 880 | C22×C4 | — | 18 | 3 | no | — |
| 881 | Q16 | — | 3 | 1 | no | — |
| 882 | Q16 | — | 9 | 1 | no | — |
| 883 | Q16 | — | 9 | 3 | no | — |
| 884 | Q16 | — | 9 | 3 | no | — |
| 885 | SD16 | — | 3 | 3 | no | — |
| 886 | SD16 | — | 3 | 3 | no | — |
| 887 | SD16 | — | 9 | 6 | no | — |
| 888 | SD16 | — | 9 | 3 | no | — |
| 889 | SD16 | — | 9 | 3 | no | — |
| 890 | SD16 | — | 9 | 3 | no | — |
| 891 | SD16 | — | 9 | 1 | no | — |
| 892 | SD16 | — | 9 | 6 | no | — |
| 893 | SD16 | — | 9 | 3 | no | — |
| 894 | SD16 | — | 9 | 1 | no | — |
| 895 | D8 | — | 3 | 3 | no | — |
| 896 | D8 | — | 3 | 6 | no | — |
| 897 | D8 | — | 9 | 6 | no | — |
| 898 | D8 | — | 9 | 3 | no | — |
| 899 | D8 | — | 9 | 3 | no | — |
| 900 | D8 | — | 9 | 3 | no | — |
| 901 | M16 | — | 3 | 3 | no | — |
| 902 | M16 | — | 3 | 3 | no | — |
| 903 | M16 | — | 3 | 1 | no | — |
| 904 | M16 | — | 3 | 3 | no | — |
| 905 | M16 | — | 3 | 3 | no | — |
| 906 | M16 | C2×D32 | 1 | 3 | yes | complemented |
| 907 | C2×C8 | — | 3 | 3 | no | — |
| 908 | C2×C8 | — | 3 | 6 | no | — |
| 909 | C2×C8 | C2×D32 | 1 | 3 | yes | complemented |
| 910 | C22×C3 | — | 2 | 3 | no | — |
| 911 | C22×C3 | — | 3 | 1 | no | — |
| 912 | C22×C3 | — | 3 | 3 | no | — |
| 913 | C22×C3 | — | 6 | 3 | no | — |
| 914 | C22×C3 | — | 6 | 3 | no | — |
| 915 | C22×C3 | — | 12 | 3 | no | — |
| 916 | C22×C3 | — | 24 | 3 | no | — |
| 917 | C22×C3 | — | 24 | 3 | no | — |
| 918 | C22×C3 | C22×D12 | 1 | 3 | yes | — |
| 919 | C22×C3 | C2×D3×D4 | 1 | 3 | yes | — |
| 920 | C2×D3 | — | 2 | 3 | no | — |
| 921 | C2×D3 | — | 2 | 3 | no | — |
| 922 | C2×D3 | — | 4 | 3 | no | — |
| 923 | C2×D3 | — | 6 | 1 | no | — |
| 924 | C2×D3 | — | 6 | 3 | no | — |
| 925 | C2×D3 | — | 6 | 1 | no | — |
| 926 | C2×D3 | — | 6 | 3 | no | — |
| 927 | C2×D3 | — | 8 | 3 | no | — |
| 928 | C2×D3 | — | 8 | 3 | no | — |
| 929 | C2×D3 | — | 12 | 1 | no | — |
| 930 | C2×D3 | — | 12 | 3 | no | — |
| 931 | C2×D3 | — | 12 | 6 | no | — |
| 932 | C2×D3 | — | 12 | 6 | no | — |
| 933 | C2×D3 | — | 24 | 6 | no | — |
| 934 | C2×D3 | — | 24 | 3 | no | — |
| 935 | C2×D3 | — | 24 | 6 | no | — |
| 936 | C2×D3 | — | 24 | 3 | no | — |
| 937 | C2×D3 | — | 24 | 3 | no | — |
| 938 | C2×D3 | — | 24 | 3 | no | — |
| 939 | C2×D3 | — | 48 | 3 | no | — |
| 940 | C2×D3 | C22×D12 | 1 | 1 | yes | characteristic |
| 941 | C2×D3 | C22×D12 | 1 | 3 | yes | — |
| 942 | C3×C4 | — | 2 | 3 | no | — |
| 943 | C3×C4 | — | 2 | 1 | no | — |
| 944 | C3×C4 | — | 3 | 1 | no | — |
| 945 | C3×C4 | — | 3 | 3 | no | — |
| 946 | C3×C4 | — | 6 | 1 | no | — |
| 947 | C3×C4 | — | 6 | 1 | no | — |
| 948 | C3×C4 | C22×D12 | 1 | 3 | yes | — |
| 949 | C3×C4 | C2×D3×D4 | 1 | 3 | yes | — |
| 950 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 951 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 952 | Dic3 | — | 2 | 1 | no | — |
| 953 | Dic3 | — | 2 | 1 | no | — |
| 954 | Dic3 | — | 6 | 3 | no | — |
| 955 | Dic3 | — | 6 | 1 | no | — |
| 956 | Dic3 | — | 6 | 3 | no | — |
| 957 | Dic3 | — | 6 | 1 | no | — |
| 958 | Dic3 | — | 12 | 3 | no | — |
| 959 | Dic3 | — | 12 | 1 | no | — |
| 960 | Dic3 | C22×D12 | 1 | 3 | yes | — |
| 961 | Dic3 | C22×D12 | 1 | 1 | yes | characteristic |
| 962 | C32 | #3585 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 963 | C23 | — | 3 | 3 | no | — |
| 964 | C23 | — | 6 | 3 | no | — |
| 965 | C23 | — | 6 | 3 | no | — |
| 966 | C23 | — | 18 | 3 | no | — |
| 967 | C23 | — | 18 | 3 | no | — |
| 968 | C23 | — | 18 | 6 | no | — |
| 969 | C23 | — | 18 | 3 | no | — |
| 970 | C23 | — | 72 | 6 | no | — |
| 971 | Q8 | — | 3 | 3 | no | — |
| 972 | Q8 | — | 3 | 1 | no | — |
| 973 | Q8 | — | 3 | 1 | no | — |
| 974 | Q8 | — | 9 | 3 | no | — |
| 975 | Q8 | — | 9 | 1 | no | — |
| 976 | Q8 | — | 18 | 3 | no | — |
| 977 | Q8 | — | 18 | 1 | no | — |
| 978 | Q8 | — | 18 | 3 | no | — |
| 979 | Q8 | D3×D12 | 1 | 1 | yes | characteristic |
| 980 | D4 | — | 3 | 6 | no | — |
| 981 | D4 | — | 3 | 3 | no | — |
| 982 | D4 | — | 3 | 3 | no | — |
| 983 | D4 | — | 3 | 3 | no | — |
| 984 | D4 | — | 6 | 3 | no | — |
| 985 | D4 | — | 6 | 3 | no | — |
| 986 | D4 | — | 6 | 3 | no | — |
| 987 | D4 | — | 6 | 3 | no | — |
| 988 | D4 | — | 9 | 1 | no | — |
| 989 | D4 | — | 9 | 3 | no | — |
| 990 | D4 | — | 18 | 3 | no | — |
| 991 | D4 | — | 18 | 6 | no | — |
| 992 | D4 | — | 18 | 3 | no | — |
| 993 | D4 | — | 18 | 3 | no | — |
| 994 | D4 | — | 18 | 1 | no | — |
| 995 | D4 | — | 18 | 3 | no | — |
| 996 | D4 | — | 18 | 3 | no | — |
| 997 | D4 | — | 18 | 6 | no | — |
| 998 | D4 | — | 18 | 3 | no | — |
| 999 | D4 | — | 18 | 3 | no | — |
| 1000 | D4 | — | 18 | 3 | no | — |
| 1001 | D4 | D3×D12 | 1 | 3 | yes | — |
| 1002 | C2×C4 | — | 3 | 3 | no | — |
| 1003 | C2×C4 | — | 3 | 3 | no | — |
| 1004 | C2×C4 | — | 3 | 3 | no | — |
| 1005 | C2×C4 | — | 3 | 3 | no | — |
| 1006 | C2×C4 | — | 3 | 1 | no | — |
| 1007 | C2×C4 | — | 6 | 3 | no | — |
| 1008 | C2×C4 | — | 6 | 3 | no | — |
| 1009 | C2×C4 | — | 18 | 1 | no | — |
| 1010 | C2×C4 | — | 18 | 3 | no | — |
| 1011 | C2×C4 | — | 18 | 3 | no | — |
| 1012 | C2×C4 | — | 18 | 3 | no | — |
| 1013 | C2×C4 | — | 18 | 6 | no | — |
| 1014 | C2×C4 | — | 18 | 1 | no | — |
| 1015 | C2×C4 | — | 18 | 3 | no | — |
| 1016 | C2×C4 | — | 18 | 3 | no | — |
| 1017 | C2×C4 | — | 18 | 3 | no | — |
| 1018 | C2×C4 | — | 18 | 3 | no | — |
| 1019 | C2×C4 | C22×D32 | 1 | 3 | yes | — |
| 1020 | C8 | — | 3 | 1 | no | — |
| 1021 | C8 | — | 3 | 3 | no | — |
| 1022 | C8 | C22×D32 | 1 | 3 | yes | — |
| 1023 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 1024 | C2×C3 | — | 2 | 3 | no | — |
| 1025 | C2×C3 | — | 2 | 3 | no | — |
| 1026 | C2×C3 | — | 2 | 1 | no | — |
| 1027 | C2×C3 | — | 4 | 3 | no | — |
| 1028 | C2×C3 | — | 6 | 1 | no | — |
| 1029 | C2×C3 | — | 6 | 3 | no | — |
| 1030 | C2×C3 | — | 12 | 3 | no | — |
| 1031 | C2×C3 | — | 12 | 3 | no | — |
| 1032 | C2×C3 | C23×D12 | 1 | 1 | yes | characteristic |
| 1033 | C2×C3 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1034 | D3 | — | 2 | 1 | no | — |
| 1035 | D3 | — | 2 | 3 | no | — |
| 1036 | D3 | — | 4 | 3 | no | — |
| 1037 | D3 | — | 4 | 3 | no | — |
| 1038 | D3 | — | 12 | 3 | no | — |
| 1039 | D3 | — | 12 | 1 | no | — |
| 1040 | D3 | — | 12 | 3 | no | — |
| 1041 | D3 | — | 12 | 1 | no | — |
| 1042 | D3 | — | 24 | 3 | no | — |
| 1043 | D3 | — | 24 | 1 | no | — |
| 1044 | C22 | — | 3 | 1 | no | — |
| 1045 | C22 | — | 3 | 3 | no | — |
| 1046 | C22 | — | 6 | 3 | no | — |
| 1047 | C22 | — | 6 | 3 | no | — |
| 1048 | C22 | — | 12 | 3 | no | — |
| 1049 | C22 | — | 18 | 1 | no | — |
| 1050 | C22 | — | 18 | 3 | no | — |
| 1051 | C22 | — | 24 | 3 | no | — |
| 1052 | C22 | — | 24 | 3 | no | — |
| 1053 | C22 | — | 36 | 6 | no | — |
| 1054 | C22 | — | 72 | 3 | no | — |
| 1055 | C22 | — | 72 | 6 | no | — |
| 1056 | C22 | — | 72 | 3 | no | — |
| 1057 | C22 | C2×D3×D12 | 1 | 3 | yes | — |
| 1058 | C4 | — | 3 | 1 | no | — |
| 1059 | C4 | — | 3 | 3 | no | — |
| 1060 | C4 | — | 6 | 1 | no | — |
| 1061 | C4 | — | 6 | 1 | no | — |
| 1062 | C4 | — | 18 | 1 | no | — |
| 1063 | C4 | — | 18 | 3 | no | — |
| 1064 | C4 | C2×D3×D12 | 1 | 3 | yes | — |
| 1065 | C4 | C23×D32 | 1 | 1 | yes | characteristic |
| 1066 | C3 | — | 2 | 1 | no | — |
| 1067 | C3 | #87167 | 1 | 1 | yes | characteristic, complemented |
| 1068 | C3 | #87204 | 1 | 1 | yes | characteristic, complemented |
| 1069 | C2 | — | 2 | 3 | no | — |
| 1070 | C2 | — | 6 | 1 | no | — |
| 1071 | C2 | — | 6 | 3 | no | — |
| 1072 | C2 | — | 12 | 3 | no | — |
| 1073 | C2 | — | 12 | 3 | no | — |
| 1074 | C2 | — | 36 | 3 | no | — |
| 1075 | C2 | — | 36 | 1 | no | — |
| 1076 | C2 | C22×D3×D12 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C22×D3×D12 |
| commutator, cosocle | C32×C4 | C25 |
| Frattini | C4 | C23×D32 |
| Fitting | C32×#131 | C22 |
| socle | C2×C32 | C23×D4 |
| hypercenter | #131 | D32 |
| hypocenter | C32 | #3585 |
| LCS | G ▷ C32×C4 ▷ C2×C32 ▷ C32 | |
| UCS | C1 ◁ C2 ◁ #41 ◁ #131 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596696 | C2 | semidirect |
| 2. D3×#1009 | C2 | semidirect |
| 3. #10596222 | C2 | semidirect |
| 4. C3×#5752 | C2 | semidirect |
| 5. C3×#5750 | C2 | semidirect |
| 6. #10595449 | C2 | semidirect |
| 7. #10595447 | C2 | semidirect |
| 8. #10594714 | C2 | semidirect |
| 9. #10594713 | C2 | semidirect |
| 10. #10594712 | C2 | semidirect |
| 11. D3×#908 | C2 | semidirect |
| 12. #10594679 | C2 | semidirect |
| 13. #10594678 | C2 | semidirect |
| 14. #10594676 | C2 | semidirect |
| 15. C2×#63795 | C2 | semidirect |
| 18. #64367 | C22 | semidirect |
| 19. #64366 | C22 | semidirect |
| 20. C3×#1009 | C22 | semidirect |
| 21. C3×#1009 | C22 | semidirect |
| 31. #64308 | C22 | semidirect |
| 32. #64307 | C22 | semidirect |
| 33. #64307 | C22 | semidirect |
| 34. D3×#235 | C22 | semidirect |
| 35. D3×#235 | C22 | semidirect |
| 36. C2×D3×D12 | C22 | semidirect |
| 37. #64298 | C22 | semidirect |
| 38. C2×#3795 | C22 | semidirect |
| 39. C32×#131 | C22 | semidirect |
| 40. #64118 | C22 | semidirect |
| 41. #64117 | C22 | semidirect |
| 42. #64113 | C22 | semidirect |
| 43. C2×#3744 | C22 | semidirect |
| 44. C3×#948 | C22 | semidirect |
| 45. C3×#908 | C22 | semidirect |
| 46. C3×#908 | C22 | semidirect |
| 47. C3×#907 | C22 | semidirect |
| 48. C3×D3×M16 | C22 | semidirect |
| 49. C3×#904 | C22 | semidirect |
| 50. C2×C3×D24 | C22 | semidirect |
| 51. C3×#901 | C22 | semidirect |
| 52. C2×C3×ΓL(1,𝔽25) | C22 | semidirect |
| 53. #63831 | C22 | semidirect |
| 54. #63830 | C22 | semidirect |
| 55. #63830 | C22 | semidirect |
| 56. #63829 | C22 | semidirect |
| 57. #63829 | C22 | semidirect |
| 58. C2×#3716 | C22 | semidirect |
| 59. #63825 | C22 | semidirect |
| 60. C2×#3714 | C22 | semidirect |
| 61. #63807 | C22 | semidirect |
| 62. #63806 | C22 | semidirect |
| 63. #63801 | C22 | semidirect |
| 64. #63801 | C22 | semidirect |
| 65. #63800 | C22 | semidirect |
| 66. #63800 | C22 | semidirect |
| 67. #63795 | C22 | semidirect |
| 68. #63795 | C22 | semidirect |
| 69. #63795 | C22 | semidirect |
| 70. #63795 | C22 | semidirect |
| 71. #63795 | C22 | semidirect |
| 72. #63794 | C22 | semidirect |
| 73. #63794 | C22 | semidirect |
| 74. D3×D24 | C22 | semidirect |
| 75. D3×#204 | C22 | semidirect |
| 95. #5752 | D3 | semidirect |
| 102. #5750 | D3 | semidirect |
| 114. #3828 | C23 | semidirect |
| 116. C2×#634 | C23 | semidirect |
| 127. C3×#235 | C23 | semidirect |
| 129. C2×C3×D12 | C23 | semidirect |
| 149. D3×D12 | C23 | semidirect |
| 164. #3795 | C23 | semidirect |
| 167. D3×Dic6 | C23 | semidirect |
| 168. C32×M16 | C23 | semidirect |
| 169. C2×C32×C8 | C23 | semidirect |
| 170. #3746 | C23 | semidirect |
| 171. #3745 | C23 | semidirect |
| 172. #3744 | C23 | semidirect |
| 173. #3744 | C23 | semidirect |
| 174. #3744 | C23 | semidirect |
| 175. C3×#208 | C23 | semidirect |
| 176. C2×C3×C3⋊C8 | C23 | semidirect |
| 177. C3×Dic12 | C23 | semidirect |
| 178. C3×D24 | C23 | semidirect |
| 179. C3×D24 | C23 | semidirect |
| 180. C3×#204 | C23 | semidirect |
| 181. C3×#204 | C23 | semidirect |
| 184. C3×ΓL(1,𝔽25) | C23 | semidirect |
| 185. C3×ΓL(1,𝔽25) | C23 | semidirect |
| 186. C3×D3×C8 | C23 | semidirect |
| 187. #3719 | C23 | semidirect |
| 188. #3719 | C23 | semidirect |
| 189. #3717 | C23 | semidirect |
| 190. #3717 | C23 | semidirect |
| 191. #3716 | C23 | semidirect |
| 192. #3716 | C23 | semidirect |
| 193. #3716 | C23 | semidirect |
| 194. #3714 | C23 | semidirect |
| 195. #3714 | C23 | semidirect |
| 196. #3714 | C23 | semidirect |
| 217. #1009 | C2×D3 | semidirect |
| 218. #1009 | C2×D3 | semidirect |
| 250. C3×#131 | C2×D3 | semidirect |
| 251. C3×#131 | C2×D3 | semidirect |
| 258. #948 | C2×D3 | semidirect |
| 299. #908 | C2×D3 | semidirect |
| 300. #908 | C2×D3 | semidirect |
| 301. #907 | C2×D3 | semidirect |
| 302. D3×M16 | C2×D3 | semidirect |
| 310. #904 | C2×D3 | semidirect |
| 313. C2×D24 | C2×D3 | semidirect |
| 319. #901 | C2×D3 | semidirect |
| 320. C2×ΓL(1,𝔽25) | C2×D3 | semidirect |
| 503. #235 | C22×D3 | semidirect |
| 515. C2×D12 | C22×D3 | semidirect |
| 539. C3×M16 | C22×D3 | semidirect |
| 540. C3×M16 | C22×D3 | semidirect |
| 544. C2×C3×C8 | C22×D3 | semidirect |
| 545. C2×C3×C8 | C22×D3 | semidirect |
| 556. #208 | C22×D3 | semidirect |
| 557. C2×C3⋊C8 | C22×D3 | semidirect |
| 563. Dic12 | C22×D3 | semidirect |
| 570. D24 | C22×D3 | semidirect |
| 571. D24 | C22×D3 | semidirect |
| 586. #204 | C22×D3 | semidirect |
| 587. #204 | C22×D3 | semidirect |
| 590. ΓL(1,𝔽25) | C22×D3 | semidirect |
| 591. ΓL(1,𝔽25) | C22×D3 | semidirect |
| 592. D3×C8 | C22×D3 | semidirect |
| 670. #131 | D32 | semidirect |
| 906. M16 | C2×D32 | semidirect |
| 909. C2×C8 | C2×D32 | semidirect |
| 962. C32 | #3585 | semidirect |
| 1067. C3 | #87167 | semidirect |
| 1068. C3 | #87204 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596696 | 2 |
| D3×#1009 | 2 |
| #10596222 | 2 |
| C3×#5752 | 2 |
| C3×#5750 | 2 |
| #10595449 | 2 |
| #10595447 | 2 |
| #10594714 | 2 |
| #10594713 | 2 |
| #10594712 | 2 |
| D3×#908 | 2 |
| #10594679 | 2 |
| #10594678 | 2 |
| #10594676 | 2 |
| C2×#63795 | 2 |
| #87204 | 3 |
| #87167 | 3 |