Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2972 conjugacy classes of subgroups.
The subgroup lattice has 1260 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596696 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #10596242 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5769 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×D3×#135 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10595469 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10595466 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10595462 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10594768 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10594764 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10594749 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #10594745 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #10594731 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | D3×#912 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | C2×#63807 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10594692 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10594687 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | D3×#901 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #87203 | — | 3 | 1 | no | maximal |
| 19 | #87187 | — | 3 | 1 | no | maximal |
| 20 | #64367 | C22 | 1 | 2 | yes | complemented |
| 21 | C3×#1009 | C22 | 1 | 2 | yes | complemented |
| 22 | C3×D3×#41 | C22 | 1 | 2 | yes | complemented |
| 23 | #64319 | C22 | 1 | 4 | yes | complemented |
| 24 | #64315 | C22 | 1 | 4 | yes | complemented |
| 25 | #64313 | — | 2 | 4 | no | — |
| 26 | #64313 | C22 | 1 | 4 | yes | complemented |
| 27 | D3×#237 | — | 2 | 4 | no | — |
| 28 | D3×#237 | C22 | 1 | 4 | yes | complemented |
| 29 | #64307 | — | 2 | 2 | no | — |
| 30 | #64307 | C22 | 1 | 2 | yes | complemented |
| 31 | D3×#235 | — | 2 | 2 | no | — |
| 32 | D3×#235 | C22 | 1 | 1 | yes | characteristic |
| 33 | #64298 | — | 2 | 2 | no | — |
| 34 | #64298 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×#3795 | — | 2 | 2 | no | — |
| 36 | C2×#3795 | C22 | 1 | 2 | yes | complemented |
| 37 | C32×#135 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #64160 | C22 | 1 | 2 | yes | complemented |
| 39 | Q16×C3⋊D3 | C22 | 1 | 2 | yes | complemented |
| 40 | #64124 | C22 | 1 | 4 | yes | complemented |
| 41 | #64121 | C22 | 1 | 2 | yes | complemented |
| 42 | C2×#3746 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #64110 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C3×#950 | C22 | 1 | 2 | yes | complemented |
| 45 | C3×#949 | C22 | 1 | 2 | yes | complemented |
| 46 | C3×#919 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C3×#919 | C22 | 1 | 2 | yes | complemented |
| 48 | C3×D3×Q16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C3×#916 | C22 | 1 | 2 | yes | complemented |
| 50 | C3×#914 | C22 | 1 | 4 | yes | complemented |
| 51 | C3×D3×SD16 | C22 | 1 | 2 | yes | complemented |
| 52 | C3×#912 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C3×D3×D8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C3×D3×D8 | C22 | 1 | 2 | yes | complemented |
| 55 | C3×#904 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C2×C3×D24 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | C3×#901 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | C2×C3×D3×C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #63951 | C22 | 1 | 4 | yes | complemented |
| 60 | #63947 | C22 | 1 | 4 | yes | complemented |
| 61 | #63947 | C22 | 1 | 4 | yes | complemented |
| 62 | #63946 | C22 | 1 | 4 | yes | complemented |
| 63 | #63943 | C22 | 1 | 4 | yes | complemented |
| 64 | #63940 | C22 | 1 | 4 | yes | complemented |
| 65 | #63936 | C22 | 1 | 4 | yes | complemented |
| 66 | #63933 | C22 | 1 | 4 | yes | complemented |
| 67 | #63932 | C22 | 1 | 4 | yes | complemented |
| 68 | #63932 | C22 | 1 | 4 | yes | complemented |
| 69 | D3×#214 | C22 | 1 | 4 | yes | complemented |
| 70 | #63927 | C22 | 1 | 4 | yes | complemented |
| 71 | #63831 | C22 | 1 | 2 | yes | complemented |
| 72 | C2×#3716 | C22 | 1 | 2 | yes | complemented |
| 73 | #63823 | C22 | 1 | 2 | yes | complemented |
| 74 | #63817 | C22 | 1 | 1 | yes | characteristic, complemented |
| 75 | #63814 | C22 | 1 | 1 | yes | characteristic, complemented |
| 76 | D3×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 77 | #63810 | C22 | 1 | 2 | yes | complemented |
| 78 | #63807 | C22 | 1 | 2 | yes | complemented |
| 79 | #63807 | C22 | 1 | 2 | yes | complemented |
| 80 | #63807 | C22 | 1 | 2 | yes | complemented |
| 81 | #63807 | C22 | 1 | 2 | yes | complemented |
| 82 | #63807 | C22 | 1 | 2 | yes | complemented |
| 83 | #63804 | C22 | 1 | 2 | yes | complemented |
| 84 | #63803 | C22 | 1 | 2 | yes | complemented |
| 85 | #63800 | C22 | 1 | 4 | yes | complemented |
| 86 | D3×Dic12 | C22 | 1 | 2 | yes | complemented |
| 87 | #63798 | C22 | 1 | 4 | yes | complemented |
| 88 | #63797 | C22 | 1 | 2 | yes | complemented |
| 89 | D3×ΓL(1,𝔽25) | C22 | 1 | 2 | yes | complemented |
| 90 | D32×C8 | C22 | 1 | 2 | yes | complemented |
| 91 | #5966 | — | 3 | 2 | no | — |
| 92 | #5964 | — | 3 | 2 | no | — |
| 93 | C3×#576 | — | 3 | 1 | no | — |
| 94 | C2×C3×#135 | — | 3 | 1 | no | — |
| 95 | #5836 | — | 3 | 2 | no | — |
| 96 | #5822 | — | 3 | 2 | no | — |
| 97 | #5775 | — | 3 | 2 | no | — |
| 98 | #5775 | — | 3 | 4 | no | — |
| 99 | #5773 | — | 3 | 2 | no | — |
| 100 | #5773 | — | 3 | 4 | no | — |
| 101 | #5771 | — | 3 | 1 | no | — |
| 102 | #5771 | — | 3 | 1 | no | — |
| 103 | #5771 | — | 3 | 2 | no | — |
| 104 | #5771 | — | 3 | 1 | no | — |
| 105 | #5771 | — | 6 | 1 | no | — |
| 106 | #5770 | — | 3 | 2 | no | — |
| 107 | #5770 | — | 3 | 2 | no | — |
| 108 | #5769 | — | 3 | 1 | no | — |
| 109 | #5769 | D3 | 1 | 1 | yes | characteristic, complemented |
| 110 | #5768 | — | 3 | 4 | no | — |
| 111 | D3×#135 | — | 3 | 2 | no | — |
| 112 | D3×#135 | — | 3 | 2 | no | — |
| 113 | D3×#135 | — | 3 | 2 | no | — |
| 114 | D3×#135 | D3 | 1 | 1 | yes | characteristic, complemented |
| 115 | #5766 | — | 3 | 2 | no | — |
| 116 | #5762 | — | 3 | 4 | no | — |
| 117 | #5757 | — | 3 | 2 | no | — |
| 118 | #5757 | — | 3 | 2 | no | — |
| 119 | #5757 | — | 3 | 1 | no | — |
| 120 | C2×#912 | — | 3 | 2 | no | — |
| 121 | C2×#912 | — | 3 | 1 | no | — |
| 122 | #5753 | — | 3 | 1 | no | — |
| 123 | D3×#131 | — | 3 | 1 | no | — |
| 124 | C2×#904 | — | 3 | 1 | no | — |
| 125 | C2×#901 | — | 3 | 1 | no | — |
| 126 | C32×#41 | C23 | 1 | 2 | yes | — |
| 127 | Q8×C3⋊D3 | C23 | 1 | 4 | yes | — |
| 128 | #3830 | — | 2 | 4 | no | — |
| 129 | #3830 | C23 | 1 | 4 | yes | — |
| 130 | #3828 | — | 2 | 2 | no | — |
| 131 | #3828 | C23 | 1 | 1 | yes | characteristic |
| 132 | C2×#634 | — | 2 | 2 | no | — |
| 133 | C2×#634 | C23 | 1 | 2 | yes | — |
| 134 | C3×#239 | C23 | 1 | 4 | yes | — |
| 135 | C3×#239 | C23 | 1 | 2 | yes | — |
| 136 | C3×D3×Q8 | C23 | 1 | 2 | yes | — |
| 137 | C3×#237 | — | 2 | 2 | no | — |
| 138 | C3×#237 | C23 | 1 | 2 | yes | — |
| 139 | C3×D3×D4 | — | 2 | 2 | no | — |
| 140 | C3×D3×D4 | — | 2 | 4 | no | — |
| 141 | C3×D3×D4 | C23 | 1 | 2 | yes | — |
| 142 | C3×D3×D4 | C23 | 1 | 4 | yes | — |
| 143 | C3×#235 | — | 2 | 2 | no | — |
| 144 | C3×#235 | — | 2 | 2 | no | — |
| 145 | C3×#235 | C23 | 1 | 1 | yes | characteristic |
| 146 | C3×#235 | C23 | 1 | 2 | yes | — |
| 147 | C2×C3×D12 | — | 2 | 2 | no | — |
| 148 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 149 | C2×C3×C4×D3 | — | 2 | 2 | no | — |
| 150 | C2×C3×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 151 | D3×#67 | — | 2 | 4 | no | — |
| 152 | D3×#67 | — | 2 | 4 | no | — |
| 153 | D3×#67 | — | 2 | 4 | no | — |
| 154 | D3×#67 | — | 2 | 4 | no | — |
| 155 | D3×#67 | D4 | 1 | 2 | yes | — |
| 156 | C2×#625 | — | 2 | 2 | no | — |
| 157 | C2×#625 | — | 2 | 4 | no | — |
| 158 | #3805 | — | 2 | 4 | no | — |
| 159 | #3805 | — | 2 | 4 | no | — |
| 160 | #3805 | — | 2 | 4 | no | — |
| 161 | #3804 | — | 2 | 4 | no | — |
| 162 | #3804 | D4 | 1 | 2 | yes | — |
| 163 | C2×D3×Dic3 | — | 2 | 2 | no | — |
| 164 | C2×D3×Dic3 | — | 2 | 4 | no | — |
| 165 | #3802 | — | 2 | 4 | no | — |
| 166 | #3802 | C23 | 1 | 4 | yes | — |
| 167 | D3×D12 | — | 2 | 2 | no | — |
| 168 | D3×D12 | D4 | 1 | 1 | yes | characteristic |
| 169 | C4×D32 | — | 2 | 4 | no | — |
| 170 | C4×D32 | C23 | 1 | 2 | yes | — |
| 171 | #3799 | D4 | 1 | 1 | yes | characteristic |
| 172 | #3798 | — | 2 | 4 | no | — |
| 173 | #3798 | C23 | 1 | 2 | yes | — |
| 174 | #3796 | — | 2 | 4 | no | — |
| 175 | #3796 | C23 | 1 | 4 | yes | — |
| 176 | #3795 | — | 2 | 2 | no | — |
| 177 | #3795 | — | 2 | 2 | no | — |
| 178 | #3795 | — | 2 | 2 | no | — |
| 179 | #3795 | — | 2 | 2 | no | — |
| 180 | #3795 | — | 2 | 4 | no | — |
| 181 | #3795 | — | 2 | 4 | no | — |
| 182 | #3795 | — | 2 | 4 | no | — |
| 183 | #3795 | D4 | 1 | 1 | yes | characteristic |
| 184 | #3795 | C23 | 1 | 4 | yes | — |
| 185 | #3795 | C23 | 1 | 4 | yes | — |
| 186 | #3795 | C23 | 1 | 4 | yes | — |
| 187 | D3×Dic6 | — | 2 | 2 | no | — |
| 188 | D3×Dic6 | — | 2 | 4 | no | — |
| 189 | D3×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 190 | D3×Dic6 | C23 | 1 | 4 | yes | — |
| 191 | C32×Q16 | C23 | 1 | 1 | yes | characteristic |
| 192 | C32×SD16 | C23 | 1 | 2 | yes | — |
| 193 | C32×D8 | C23 | 1 | 1 | yes | characteristic |
| 194 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 195 | #3756 | C23 | 1 | 4 | yes | — |
| 196 | #3754 | C23 | 1 | 4 | yes | — |
| 197 | #3748 | C23 | 1 | 1 | yes | characteristic |
| 198 | #3746 | C23 | 1 | 2 | yes | — |
| 199 | #3746 | C23 | 1 | 2 | yes | — |
| 200 | #3743 | C23 | 1 | 2 | yes | — |
| 201 | C8×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 202 | C3×#216 | C23 | 1 | 2 | yes | — |
| 203 | C3×#215 | C23 | 1 | 2 | yes | — |
| 204 | C3×#215 | C23 | 1 | 4 | yes | — |
| 205 | C3×#214 | C23 | 1 | 2 | yes | — |
| 206 | C3×#213 | C23 | 1 | 4 | yes | — |
| 207 | C3×#213 | C23 | 1 | 2 | yes | — |
| 208 | C3×#208 | C23 | 1 | 1 | yes | characteristic |
| 209 | C2×C3×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 210 | C3×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 211 | C3×D24 | C23 | 1 | 2 | yes | — |
| 212 | C3×D24 | C23 | 1 | 2 | yes | — |
| 213 | C3×D24 | C23 | 1 | 1 | yes | characteristic |
| 214 | C3×#204 | C23 | 1 | 2 | yes | — |
| 215 | C3×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 216 | C3×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 217 | C3×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 218 | C3×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 219 | C3×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 220 | C3×D3×C8 | C23 | 1 | 2 | yes | — |
| 221 | #3719 | C23 | 1 | 4 | yes | — |
| 222 | #3716 | C23 | 1 | 4 | yes | — |
| 223 | #3716 | C23 | 1 | 4 | yes | — |
| 224 | #3716 | C23 | 1 | 4 | yes | — |
| 225 | #3715 | C23 | 1 | 4 | yes | — |
| 226 | #3713 | C23 | 1 | 4 | yes | — |
| 227 | #3712 | C23 | 1 | 2 | yes | — |
| 228 | #3711 | C23 | 1 | 2 | yes | — |
| 229 | #3711 | C23 | 1 | 2 | yes | — |
| 230 | #3710 | C23 | 1 | 2 | yes | — |
| 231 | D3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 232 | D3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 233 | #3584 | — | 9 | 1 | no | Sylow |
| 234 | C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 235 | C2×C3×#41 | — | 3 | 2 | no | — |
| 236 | #1010 | — | 3 | 2 | no | — |
| 237 | #1010 | — | 3 | 2 | no | — |
| 238 | #1010 | — | 3 | 2 | no | — |
| 239 | #1010 | — | 3 | 4 | no | — |
| 240 | #1010 | — | 3 | 2 | no | — |
| 241 | #1010 | — | 6 | 2 | no | — |
| 242 | #1010 | — | 6 | 2 | no | — |
| 243 | #1010 | — | 6 | 2 | no | — |
| 244 | #1009 | — | 3 | 2 | no | — |
| 245 | #1009 | — | 6 | 2 | no | — |
| 246 | #1009 | C2×D3 | 1 | 2 | yes | complemented |
| 247 | D3×#41 | — | 3 | 1 | no | — |
| 248 | D3×#41 | — | 3 | 4 | no | — |
| 249 | D3×#41 | — | 3 | 4 | no | — |
| 250 | D3×#41 | — | 3 | 4 | no | — |
| 251 | D3×#41 | — | 6 | 2 | no | — |
| 252 | D3×#41 | — | 6 | 4 | no | — |
| 253 | D3×#41 | C2×D3 | 1 | 2 | yes | complemented |
| 254 | #1007 | — | 3 | 4 | no | — |
| 255 | #1004 | — | 3 | 4 | no | — |
| 256 | #1004 | — | 3 | 4 | no | — |
| 257 | #1004 | — | 3 | 2 | no | — |
| 258 | #1004 | — | 6 | 2 | no | — |
| 259 | #1004 | — | 6 | 4 | no | — |
| 260 | #1004 | — | 6 | 4 | no | — |
| 261 | C2×#237 | — | 3 | 4 | no | — |
| 262 | C2×#237 | — | 3 | 2 | no | — |
| 263 | C2×#237 | — | 6 | 2 | no | — |
| 264 | C2×#237 | — | 6 | 4 | no | — |
| 265 | C2×#235 | — | 3 | 1 | no | — |
| 266 | C2×#235 | — | 3 | 2 | no | — |
| 267 | C2×#235 | — | 6 | 2 | no | — |
| 268 | C2×#235 | — | 6 | 2 | no | — |
| 269 | C3×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 270 | C3×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 271 | C3×#135 | — | 2 | 1 | no | — |
| 272 | C3×#135 | — | 3 | 2 | no | — |
| 273 | C3×#135 | — | 3 | 1 | no | — |
| 274 | C3×#135 | — | 3 | 2 | no | — |
| 275 | C3×#135 | — | 3 | 2 | no | — |
| 276 | C3×#135 | — | 3 | 1 | no | — |
| 277 | C3×#135 | — | 3 | 1 | no | — |
| 278 | C3×#135 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 279 | C3×#135 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 280 | C2×C3×Q16 | — | 3 | 1 | no | — |
| 281 | C2×C3×SD16 | — | 3 | 2 | no | — |
| 282 | C2×C3×D8 | — | 3 | 1 | no | — |
| 283 | C2×C3×D8 | — | 3 | 2 | no | — |
| 284 | C2×C3×D8 | — | 3 | 1 | no | — |
| 285 | C3×#131 | — | 3 | 1 | no | — |
| 286 | C22×C3×C8 | — | 3 | 1 | no | — |
| 287 | #951 | — | 3 | 2 | no | — |
| 288 | #951 | — | 3 | 2 | no | — |
| 289 | #951 | — | 3 | 4 | no | — |
| 290 | #951 | — | 3 | 2 | no | — |
| 291 | #951 | — | 6 | 2 | no | — |
| 292 | #950 | — | 3 | 4 | no | — |
| 293 | #950 | — | 3 | 4 | no | — |
| 294 | #950 | — | 3 | 4 | no | — |
| 295 | #950 | C2×D3 | 1 | 2 | yes | complemented |
| 296 | #949 | — | 3 | 2 | no | — |
| 297 | #949 | C2×D3 | 1 | 2 | yes | complemented |
| 298 | #948 | — | 3 | 1 | no | — |
| 299 | #942 | — | 3 | 4 | no | — |
| 300 | C2×#214 | — | 3 | 4 | no | — |
| 301 | C2×#214 | — | 3 | 2 | no | — |
| 302 | #932 | — | 3 | 2 | no | — |
| 303 | #932 | — | 3 | 4 | no | — |
| 304 | #932 | — | 3 | 4 | no | — |
| 305 | C2×#208 | — | 3 | 1 | no | — |
| 306 | #919 | — | 3 | 2 | no | — |
| 307 | #919 | C2×D3 | 1 | 2 | yes | complemented |
| 308 | #919 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 309 | #918 | — | 3 | 4 | no | — |
| 310 | #918 | — | 3 | 4 | no | — |
| 311 | D3×Q16 | — | 3 | 2 | no | — |
| 312 | D3×Q16 | — | 3 | 2 | no | — |
| 313 | D3×Q16 | — | 3 | 2 | no | — |
| 314 | D3×Q16 | — | 6 | 2 | no | — |
| 315 | D3×Q16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 316 | #916 | — | 3 | 4 | no | — |
| 317 | #916 | — | 3 | 4 | no | — |
| 318 | #916 | — | 3 | 4 | no | — |
| 319 | #916 | C2×D3 | 1 | 2 | yes | complemented |
| 320 | #915 | — | 3 | 4 | no | — |
| 321 | #915 | — | 3 | 4 | no | — |
| 322 | #915 | — | 3 | 4 | no | — |
| 323 | #915 | — | 3 | 4 | no | — |
| 324 | #915 | — | 3 | 4 | no | — |
| 325 | #915 | — | 6 | 4 | no | — |
| 326 | #914 | — | 3 | 4 | no | — |
| 327 | #914 | C2×D3 | 1 | 4 | yes | complemented |
| 328 | D3×SD16 | — | 3 | 4 | no | — |
| 329 | D3×SD16 | — | 3 | 4 | no | — |
| 330 | D3×SD16 | — | 3 | 4 | no | — |
| 331 | D3×SD16 | C2×D3 | 1 | 2 | yes | complemented |
| 332 | #912 | — | 3 | 4 | no | — |
| 333 | #912 | — | 3 | 2 | no | — |
| 334 | #912 | — | 3 | 2 | no | — |
| 335 | #912 | — | 3 | 4 | no | — |
| 336 | #912 | — | 3 | 2 | no | — |
| 337 | #912 | — | 3 | 2 | no | — |
| 338 | #912 | — | 3 | 2 | no | — |
| 339 | #912 | — | 3 | 2 | no | — |
| 340 | #912 | — | 3 | 2 | no | — |
| 341 | #912 | — | 3 | 2 | no | — |
| 342 | #912 | — | 6 | 2 | no | — |
| 343 | #912 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 344 | #911 | — | 3 | 4 | no | — |
| 345 | #911 | — | 3 | 4 | no | — |
| 346 | #911 | — | 3 | 4 | no | — |
| 347 | #911 | — | 3 | 4 | no | — |
| 348 | #911 | — | 3 | 4 | no | — |
| 349 | D3×D8 | — | 3 | 2 | no | — |
| 350 | D3×D8 | — | 3 | 2 | no | — |
| 351 | D3×D8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 352 | D3×D8 | C2×D3 | 1 | 2 | yes | complemented |
| 353 | #909 | — | 3 | 2 | no | — |
| 354 | #909 | — | 3 | 4 | no | — |
| 355 | #907 | — | 3 | 1 | no | — |
| 356 | #907 | — | 3 | 2 | no | — |
| 357 | D3×M16 | — | 3 | 1 | no | — |
| 358 | D3×M16 | — | 3 | 2 | no | — |
| 359 | C2×Dic12 | — | 3 | 1 | no | — |
| 360 | C2×Dic12 | — | 3 | 1 | no | — |
| 361 | C2×Dic12 | — | 3 | 2 | no | — |
| 362 | C2×Dic12 | — | 6 | 1 | no | — |
| 363 | #904 | — | 3 | 2 | no | — |
| 364 | #904 | — | 3 | 2 | no | — |
| 365 | #904 | — | 3 | 2 | no | — |
| 366 | #904 | — | 3 | 2 | no | — |
| 367 | #904 | — | 3 | 2 | no | — |
| 368 | #904 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 369 | C2×D24 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 370 | C2×#204 | — | 3 | 2 | no | — |
| 371 | #901 | — | 3 | 1 | no | — |
| 372 | #901 | — | 3 | 1 | no | — |
| 373 | #901 | — | 3 | 1 | no | — |
| 374 | #901 | — | 3 | 1 | no | — |
| 375 | #901 | — | 3 | 2 | no | — |
| 376 | #901 | — | 3 | 2 | no | — |
| 377 | #901 | — | 3 | 2 | no | — |
| 378 | #901 | — | 6 | 1 | no | — |
| 379 | #901 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 380 | C2×ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 381 | C2×D3×C8 | — | 3 | 2 | no | — |
| 382 | C2×D3×C8 | — | 3 | 2 | no | — |
| 383 | C2×D3×C8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 384 | C22×C3×D3 | — | 2 | 2 | no | — |
| 385 | C22×C3×D3 | — | 2 | 4 | no | — |
| 386 | C22×C3×D3 | — | 2 | 2 | no | — |
| 387 | C22×C3×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 388 | C2×D32 | — | 2 | 4 | no | — |
| 389 | C2×D32 | C2×D4 | 1 | 2 | yes | — |
| 390 | C32×Q8 | C24 | 1 | 2 | yes | — |
| 391 | C32×D4 | — | 2 | 2 | no | — |
| 392 | C32×D4 | C24 | 1 | 2 | yes | — |
| 393 | C2×C32×C4 | — | 2 | 2 | no | — |
| 394 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 395 | #638 | — | 2 | 4 | no | — |
| 396 | #638 | C2×D4 | 1 | 2 | yes | — |
| 397 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 398 | C2×C3⋊Dic3 | — | 2 | 4 | no | — |
| 399 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 400 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 401 | C4×C3⋊D3 | C24 | 1 | 2 | yes | — |
| 402 | #634 | — | 2 | 2 | no | — |
| 403 | #634 | — | 2 | 4 | no | — |
| 404 | #634 | C2×D4 | 1 | 1 | yes | characteristic |
| 405 | #634 | C24 | 1 | 4 | yes | — |
| 406 | C3×#67 | — | 2 | 2 | no | — |
| 407 | C3×#67 | — | 2 | 2 | no | — |
| 408 | C3×#67 | — | 2 | 4 | no | — |
| 409 | C3×#67 | — | 2 | 2 | no | — |
| 410 | C3×#67 | C2×D4 | 1 | 2 | yes | — |
| 411 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 412 | C2×C3×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 413 | C3×D12 | — | 2 | 4 | no | — |
| 414 | C3×D12 | — | 2 | 2 | no | — |
| 415 | C3×D12 | — | 2 | 2 | no | — |
| 416 | C3×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 417 | C3×D12 | C24 | 1 | 2 | yes | — |
| 418 | C3×D12 | C24 | 1 | 4 | yes | — |
| 419 | C3×C4×D3 | — | 2 | 2 | no | — |
| 420 | C3×C4×D3 | — | 2 | 2 | no | — |
| 421 | C3×C4×D3 | — | 2 | 4 | no | — |
| 422 | C3×C4×D3 | — | 2 | 2 | no | — |
| 423 | C3×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 424 | C3×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 425 | C3×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 426 | C3×C4×D3 | C24 | 1 | 2 | yes | — |
| 427 | C3×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 428 | C3×Dic6 | — | 2 | 2 | no | — |
| 429 | C3×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 430 | C3×Dic6 | C24 | 1 | 2 | yes | — |
| 431 | #627 | — | 2 | 4 | no | — |
| 432 | #627 | C2×D4 | 1 | 2 | yes | — |
| 433 | #626 | — | 2 | 4 | no | — |
| 434 | #626 | C2×D4 | 1 | 2 | yes | — |
| 435 | #626 | C2×D4 | 1 | 2 | yes | — |
| 436 | #625 | — | 2 | 4 | no | — |
| 437 | #625 | — | 2 | 4 | no | — |
| 438 | #625 | — | 2 | 4 | no | — |
| 439 | #625 | — | 2 | 4 | no | — |
| 440 | #625 | C2×D4 | 1 | 2 | yes | — |
| 441 | #624 | C2×D4 | 1 | 2 | yes | — |
| 442 | D3×Dic3 | — | 2 | 4 | no | — |
| 443 | D3×Dic3 | — | 2 | 4 | no | — |
| 444 | D3×Dic3 | — | 2 | 4 | no | — |
| 445 | D3×Dic3 | — | 2 | 4 | no | — |
| 446 | D3×Dic3 | — | 2 | 4 | no | — |
| 447 | D3×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 448 | D3×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 449 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 450 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 451 | C3⋊(C3⋊C8) | C24 | 1 | 2 | yes | — |
| 452 | C3×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 453 | C3×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 454 | C3×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 455 | #585 | — | 9 | 2 | no | — |
| 456 | #578 | — | 9 | 1 | no | — |
| 457 | #578 | — | 9 | 2 | no | — |
| 458 | #578 | — | 9 | 1 | no | — |
| 459 | #577 | — | 9 | 4 | no | — |
| 460 | #577 | — | 9 | 2 | no | — |
| 461 | #577 | — | 9 | 2 | no | — |
| 462 | #576 | — | 3 | 1 | no | — |
| 463 | #576 | — | 9 | 2 | no | — |
| 464 | #576 | — | 9 | 1 | no | — |
| 465 | #575 | — | 9 | 4 | no | — |
| 466 | #575 | — | 9 | 2 | no | — |
| 467 | C2×#135 | — | 3 | 1 | no | — |
| 468 | C2×#135 | — | 9 | 1 | no | — |
| 469 | C2×#135 | — | 9 | 2 | no | — |
| 470 | C2×#135 | — | 9 | 2 | no | — |
| 471 | C2×#131 | — | 9 | 1 | no | — |
| 472 | C3×#41 | — | 2 | 2 | no | — |
| 473 | C3×#41 | — | 3 | 1 | no | — |
| 474 | C3×#41 | — | 3 | 2 | no | — |
| 475 | C3×#41 | — | 3 | 4 | no | — |
| 476 | C3×#41 | — | 3 | 2 | no | — |
| 477 | C3×#41 | — | 3 | 2 | no | — |
| 478 | C3×#41 | — | 6 | 2 | no | — |
| 479 | C3×#41 | — | 6 | 2 | no | — |
| 480 | C3×#41 | — | 6 | 2 | no | — |
| 481 | C3×#41 | C22×D3 | 1 | 2 | yes | — |
| 482 | C3×#41 | C22×D3 | 1 | 2 | yes | — |
| 483 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 484 | C2×C3×D4 | — | 3 | 2 | no | — |
| 485 | C2×C3×D4 | — | 3 | 4 | no | — |
| 486 | C2×C3×D4 | — | 3 | 2 | no | — |
| 487 | C2×C3×D4 | — | 6 | 2 | no | — |
| 488 | C2×C3×D4 | — | 6 | 4 | no | — |
| 489 | C2×C3×D4 | — | 6 | 2 | no | — |
| 490 | C22×C3×C4 | — | 3 | 1 | no | — |
| 491 | C22×C3×C4 | — | 6 | 2 | no | — |
| 492 | C2×#67 | — | 3 | 2 | no | — |
| 493 | C2×#67 | — | 6 | 4 | no | — |
| 494 | C2×#67 | — | 6 | 4 | no | — |
| 495 | C2×#67 | — | 6 | 4 | no | — |
| 496 | C2×#67 | — | 6 | 4 | no | — |
| 497 | C2×#67 | — | 6 | 4 | no | — |
| 498 | C2×#67 | — | 6 | 4 | no | — |
| 499 | C2×#67 | — | 6 | 2 | no | — |
| 500 | C2×#67 | — | 6 | 2 | no | — |
| 501 | C22×Dic3 | — | 6 | 4 | no | — |
| 502 | C22×Dic3 | — | 6 | 2 | no | — |
| 503 | #239 | — | 3 | 1 | no | — |
| 504 | #239 | — | 3 | 4 | no | — |
| 505 | #239 | — | 6 | 4 | no | — |
| 506 | #239 | C22×D3 | 1 | 4 | yes | — |
| 507 | #239 | C22×D3 | 1 | 2 | yes | — |
| 508 | D3×Q8 | — | 3 | 1 | no | — |
| 509 | D3×Q8 | — | 3 | 4 | no | — |
| 510 | D3×Q8 | — | 3 | 4 | no | — |
| 511 | D3×Q8 | — | 3 | 4 | no | — |
| 512 | D3×Q8 | — | 6 | 4 | no | — |
| 513 | D3×Q8 | — | 6 | 4 | no | — |
| 514 | D3×Q8 | — | 6 | 2 | no | — |
| 515 | D3×Q8 | C22×D3 | 1 | 2 | yes | — |
| 516 | #237 | — | 2 | 2 | no | — |
| 517 | #237 | — | 3 | 2 | no | — |
| 518 | #237 | — | 3 | 4 | no | — |
| 519 | #237 | — | 3 | 4 | no | — |
| 520 | #237 | — | 3 | 1 | no | — |
| 521 | #237 | — | 3 | 4 | no | — |
| 522 | #237 | — | 3 | 4 | no | — |
| 523 | #237 | — | 3 | 4 | no | — |
| 524 | #237 | — | 3 | 4 | no | — |
| 525 | #237 | — | 6 | 4 | no | — |
| 526 | #237 | — | 6 | 4 | no | — |
| 527 | #237 | — | 6 | 2 | no | — |
| 528 | #237 | — | 6 | 4 | no | — |
| 529 | #237 | — | 6 | 4 | no | — |
| 530 | #237 | — | 6 | 4 | no | — |
| 531 | #237 | — | 6 | 4 | no | — |
| 532 | #237 | — | 6 | 4 | no | — |
| 533 | #237 | — | 6 | 2 | no | — |
| 534 | #237 | — | 6 | 4 | no | — |
| 535 | #237 | — | 6 | 4 | no | — |
| 536 | #237 | — | 6 | 4 | no | — |
| 537 | #237 | — | 6 | 4 | no | — |
| 538 | #237 | — | 6 | 4 | no | — |
| 539 | #237 | — | 6 | 4 | no | — |
| 540 | #237 | — | 6 | 4 | no | — |
| 541 | #237 | — | 6 | 2 | no | — |
| 542 | #237 | — | 6 | 2 | no | — |
| 543 | #237 | — | 12 | 4 | no | — |
| 544 | #237 | C22×D3 | 1 | 2 | yes | — |
| 545 | D3×D4 | — | 2 | 2 | no | — |
| 546 | D3×D4 | — | 2 | 4 | no | — |
| 547 | D3×D4 | — | 3 | 2 | no | — |
| 548 | D3×D4 | — | 3 | 4 | no | — |
| 549 | D3×D4 | — | 3 | 4 | no | — |
| 550 | D3×D4 | — | 3 | 1 | no | — |
| 551 | D3×D4 | — | 6 | 2 | no | — |
| 552 | D3×D4 | — | 6 | 4 | no | — |
| 553 | D3×D4 | — | 6 | 4 | no | — |
| 554 | D3×D4 | — | 6 | 4 | no | — |
| 555 | D3×D4 | — | 6 | 4 | no | — |
| 556 | D3×D4 | — | 6 | 4 | no | — |
| 557 | D3×D4 | — | 6 | 4 | no | — |
| 558 | D3×D4 | C22×D3 | 1 | 2 | yes | — |
| 559 | D3×D4 | C22×D3 | 1 | 4 | yes | — |
| 560 | #235 | — | 2 | 2 | no | — |
| 561 | #235 | — | 2 | 2 | no | — |
| 562 | #235 | — | 3 | 1 | no | — |
| 563 | #235 | — | 3 | 1 | no | — |
| 564 | #235 | — | 3 | 2 | no | — |
| 565 | #235 | — | 3 | 1 | no | — |
| 566 | #235 | — | 3 | 2 | no | — |
| 567 | #235 | — | 3 | 2 | no | — |
| 568 | #235 | — | 3 | 4 | no | — |
| 569 | #235 | — | 3 | 4 | no | — |
| 570 | #235 | — | 3 | 4 | no | — |
| 571 | #235 | — | 3 | 1 | no | — |
| 572 | #235 | — | 6 | 1 | no | — |
| 573 | #235 | — | 6 | 2 | no | — |
| 574 | #235 | — | 6 | 4 | no | — |
| 575 | #235 | — | 6 | 4 | no | — |
| 576 | #235 | — | 6 | 4 | no | — |
| 577 | #235 | — | 6 | 4 | no | — |
| 578 | #235 | — | 6 | 4 | no | — |
| 579 | #235 | — | 6 | 4 | no | — |
| 580 | #235 | — | 6 | 2 | no | — |
| 581 | #235 | — | 6 | 2 | no | — |
| 582 | #235 | — | 6 | 2 | no | — |
| 583 | #235 | — | 6 | 2 | no | — |
| 584 | #235 | — | 6 | 2 | no | — |
| 585 | #235 | — | 12 | 2 | no | — |
| 586 | #235 | C22×D3 | 1 | 1 | yes | characteristic |
| 587 | #235 | C22×D3 | 1 | 2 | yes | — |
| 588 | C2×D12 | — | 2 | 2 | no | — |
| 589 | C2×D12 | — | 3 | 1 | no | — |
| 590 | C2×D12 | — | 6 | 2 | no | — |
| 591 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 592 | C2×C4×D3 | — | 2 | 2 | no | — |
| 593 | C2×C4×D3 | — | 3 | 2 | no | — |
| 594 | C2×C4×D3 | — | 3 | 2 | no | — |
| 595 | C2×C4×D3 | — | 6 | 4 | no | — |
| 596 | C2×C4×D3 | — | 6 | 4 | no | — |
| 597 | C2×C4×D3 | — | 6 | 4 | no | — |
| 598 | C2×C4×D3 | — | 6 | 2 | no | — |
| 599 | C2×C4×D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 600 | C2×Dic6 | — | 3 | 1 | no | — |
| 601 | C2×Dic6 | — | 3 | 2 | no | — |
| 602 | C2×Dic6 | — | 3 | 2 | no | — |
| 603 | C2×Dic6 | — | 3 | 4 | no | — |
| 604 | C2×Dic6 | — | 6 | 2 | no | — |
| 605 | C2×Dic6 | — | 6 | 4 | no | — |
| 606 | C2×Dic6 | — | 6 | 2 | no | — |
| 607 | C2×Dic6 | — | 6 | 2 | no | — |
| 608 | C2×Dic6 | — | 6 | 2 | no | — |
| 609 | C2×Dic6 | — | 12 | 2 | no | — |
| 610 | C3×Q16 | — | 2 | 1 | no | — |
| 611 | C3×Q16 | — | 3 | 2 | no | — |
| 612 | C3×Q16 | — | 3 | 1 | no | — |
| 613 | C3×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 614 | C3×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 615 | C3×SD16 | — | 2 | 2 | no | — |
| 616 | C3×SD16 | — | 3 | 2 | no | — |
| 617 | C3×SD16 | — | 3 | 4 | no | — |
| 618 | C3×SD16 | — | 3 | 2 | no | — |
| 619 | C3×SD16 | — | 3 | 2 | no | — |
| 620 | C3×SD16 | C22×D3 | 1 | 2 | yes | — |
| 621 | C3×SD16 | C22×D3 | 1 | 2 | yes | — |
| 622 | C3×D8 | — | 2 | 1 | no | — |
| 623 | C3×D8 | — | 3 | 2 | no | — |
| 624 | C3×D8 | — | 3 | 4 | no | — |
| 625 | C3×D8 | — | 3 | 1 | no | — |
| 626 | C3×D8 | — | 3 | 2 | no | — |
| 627 | C3×D8 | — | 3 | 2 | no | — |
| 628 | C3×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 629 | C3×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 630 | C3×M16 | — | 3 | 1 | no | — |
| 631 | C3×M16 | — | 3 | 2 | no | — |
| 632 | C2×C3×C8 | — | 2 | 1 | no | — |
| 633 | C2×C3×C8 | — | 3 | 1 | no | — |
| 634 | C2×C3×C8 | — | 3 | 1 | no | — |
| 635 | C2×C3×C8 | — | 3 | 2 | no | — |
| 636 | C2×C3×C8 | — | 3 | 1 | no | — |
| 637 | C2×C3×C8 | — | 3 | 1 | no | — |
| 638 | C2×C3×C8 | — | 3 | 1 | no | — |
| 639 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 640 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 641 | #216 | — | 3 | 4 | no | — |
| 642 | #216 | — | 3 | 4 | no | — |
| 643 | #216 | — | 3 | 4 | no | — |
| 644 | #216 | — | 6 | 4 | no | — |
| 645 | #216 | C22×D3 | 1 | 2 | yes | — |
| 646 | #215 | — | 3 | 4 | no | — |
| 647 | #215 | C22×D3 | 1 | 2 | yes | — |
| 648 | #215 | C22×D3 | 1 | 4 | yes | — |
| 649 | #214 | — | 3 | 4 | no | — |
| 650 | #214 | — | 3 | 4 | no | — |
| 651 | #214 | — | 3 | 4 | no | — |
| 652 | #214 | — | 3 | 4 | no | — |
| 653 | #214 | — | 3 | 4 | no | — |
| 654 | #214 | — | 3 | 4 | no | — |
| 655 | #214 | — | 6 | 4 | no | — |
| 656 | #214 | C22×D3 | 1 | 2 | yes | — |
| 657 | #213 | — | 3 | 4 | no | — |
| 658 | #213 | — | 3 | 4 | no | — |
| 659 | #213 | C22×D3 | 1 | 2 | yes | — |
| 660 | #213 | C22×D3 | 1 | 4 | yes | — |
| 661 | #208 | — | 3 | 1 | no | — |
| 662 | #208 | — | 3 | 1 | no | — |
| 663 | #208 | — | 3 | 2 | no | — |
| 664 | #208 | — | 3 | 2 | no | — |
| 665 | #208 | — | 6 | 1 | no | — |
| 666 | #208 | C22×D3 | 1 | 1 | yes | characteristic |
| 667 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 668 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 669 | C2×C3⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 670 | Dic12 | — | 3 | 4 | no | — |
| 671 | Dic12 | — | 3 | 2 | no | — |
| 672 | Dic12 | — | 3 | 2 | no | — |
| 673 | Dic12 | — | 3 | 2 | no | — |
| 674 | Dic12 | — | 3 | 2 | no | — |
| 675 | Dic12 | — | 6 | 2 | no | — |
| 676 | Dic12 | — | 6 | 2 | no | — |
| 677 | Dic12 | C22×D3 | 1 | 1 | yes | characteristic |
| 678 | D24 | C22×D3 | 1 | 2 | yes | — |
| 679 | D24 | C22×D3 | 1 | 2 | yes | — |
| 680 | D24 | C22×D3 | 1 | 1 | yes | characteristic |
| 681 | #204 | — | 3 | 4 | no | — |
| 682 | #204 | — | 3 | 4 | no | — |
| 683 | #204 | — | 3 | 4 | no | — |
| 684 | #204 | C22×D3 | 1 | 2 | yes | — |
| 685 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 686 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 687 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 688 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 689 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 690 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 691 | ΓL(1,𝔽25) | — | 6 | 2 | no | — |
| 692 | ΓL(1,𝔽25) | C22×D3 | 1 | 2 | yes | — |
| 693 | D3×C8 | — | 3 | 2 | no | — |
| 694 | D3×C8 | — | 3 | 2 | no | — |
| 695 | D3×C8 | — | 3 | 2 | no | — |
| 696 | D3×C8 | — | 3 | 2 | no | — |
| 697 | D3×C8 | — | 3 | 2 | no | — |
| 698 | D3×C8 | — | 3 | 2 | no | — |
| 699 | D3×C8 | — | 6 | 2 | no | — |
| 700 | D3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 701 | D3×C8 | C22×D3 | 1 | 2 | yes | — |
| 702 | D3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 703 | D3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 704 | D3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 705 | C22×C32 | — | 2 | 2 | no | — |
| 706 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 707 | C2×C3⋊D3 | C22×D4 | 1 | 2 | yes | — |
| 708 | C2×C3×D3 | — | 2 | 4 | no | — |
| 709 | C2×C3×D3 | — | 2 | 2 | no | — |
| 710 | C2×C3×D3 | — | 4 | 1 | no | — |
| 711 | C2×C3×D3 | — | 8 | 4 | no | — |
| 712 | C2×C3×D3 | — | 8 | 2 | no | — |
| 713 | C2×C3×D3 | — | 8 | 2 | no | — |
| 714 | C2×C3×D3 | C22×D4 | 1 | 2 | yes | — |
| 715 | C2×C3×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 716 | C2×C3×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 717 | D32 | — | 4 | 2 | no | — |
| 718 | D32 | — | 8 | 4 | no | — |
| 719 | C32×C4 | — | 2 | 2 | no | — |
| 720 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 721 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 722 | C3⋊Dic3 | — | 2 | 4 | no | — |
| 723 | C3⋊Dic3 | C22×D4 | 1 | 2 | yes | — |
| 724 | C3×Dic3 | — | 2 | 2 | no | — |
| 725 | C3×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 726 | C3×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 727 | C3×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 728 | 2−1+4 | — | 9 | 4 | no | — |
| 729 | 2−1+4 | — | 9 | 2 | no | — |
| 730 | 2−1+4 | — | 9 | 2 | no | — |
| 731 | 2−1+4 | — | 18 | 2 | no | — |
| 732 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 733 | H(5,𝔽2) | — | 9 | 4 | no | — |
| 734 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 735 | H(5,𝔽2) | — | 18 | 4 | no | — |
| 736 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 737 | C2×#41 | — | 3 | 2 | no | — |
| 738 | C2×#41 | — | 9 | 1 | no | — |
| 739 | C2×#41 | — | 9 | 2 | no | — |
| 740 | C2×#41 | — | 9 | 4 | no | — |
| 741 | C2×#41 | — | 9 | 4 | no | — |
| 742 | C2×#41 | — | 18 | 2 | no | — |
| 743 | C2×#41 | — | 18 | 2 | no | — |
| 744 | C2×#41 | — | 18 | 4 | no | — |
| 745 | #137 | — | 9 | 4 | no | — |
| 746 | #137 | — | 9 | 2 | no | — |
| 747 | #137 | — | 9 | 4 | no | — |
| 748 | #137 | — | 9 | 4 | no | — |
| 749 | #137 | — | 9 | 4 | no | — |
| 750 | #137 | — | 9 | 2 | no | — |
| 751 | #137 | — | 9 | 4 | no | — |
| 752 | AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 753 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 754 | AGL(1,ℤ/8) | — | 9 | 4 | no | — |
| 755 | AGL(1,ℤ/8) | — | 9 | 4 | no | — |
| 756 | AGL(1,ℤ/8) | — | 9 | 4 | no | — |
| 757 | AGL(1,ℤ/8) | — | 9 | 4 | no | — |
| 758 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 759 | #135 | — | 3 | 2 | no | — |
| 760 | #135 | — | 3 | 1 | no | — |
| 761 | #135 | — | 3 | 2 | no | — |
| 762 | #135 | — | 3 | 2 | no | — |
| 763 | #135 | — | 3 | 1 | no | — |
| 764 | #135 | — | 3 | 1 | no | — |
| 765 | #135 | — | 9 | 2 | no | — |
| 766 | #135 | — | 9 | 2 | no | — |
| 767 | #135 | — | 9 | 2 | no | — |
| 768 | #135 | — | 9 | 2 | no | — |
| 769 | #135 | — | 9 | 2 | no | — |
| 770 | #135 | — | 9 | 4 | no | — |
| 771 | #135 | — | 9 | 2 | no | — |
| 772 | #135 | — | 9 | 4 | no | — |
| 773 | #135 | — | 9 | 4 | no | — |
| 774 | #135 | — | 9 | 4 | no | — |
| 775 | #135 | — | 9 | 2 | no | — |
| 776 | #135 | D32 | 1 | 1 | yes | characteristic, complemented |
| 777 | C2×Q16 | — | 3 | 1 | no | — |
| 778 | C2×Q16 | — | 9 | 2 | no | — |
| 779 | C2×Q16 | — | 9 | 2 | no | — |
| 780 | C2×Q16 | — | 9 | 1 | no | — |
| 781 | C2×SD16 | — | 3 | 2 | no | — |
| 782 | C2×SD16 | — | 9 | 2 | no | — |
| 783 | C2×SD16 | — | 9 | 4 | no | — |
| 784 | C2×SD16 | — | 9 | 4 | no | — |
| 785 | C2×D8 | — | 3 | 1 | no | — |
| 786 | C2×D8 | — | 3 | 2 | no | — |
| 787 | C2×D8 | — | 3 | 1 | no | — |
| 788 | C2×D8 | — | 9 | 2 | no | — |
| 789 | #131 | — | 3 | 1 | no | — |
| 790 | #131 | — | 9 | 2 | no | — |
| 791 | #131 | — | 9 | 1 | no | — |
| 792 | #131 | — | 9 | 2 | no | — |
| 793 | #131 | — | 9 | 1 | no | — |
| 794 | #131 | — | 9 | 1 | no | — |
| 795 | C2×M16 | — | 9 | 2 | no | — |
| 796 | C2×M16 | — | 9 | 1 | no | — |
| 797 | C22×C8 | — | 3 | 1 | no | — |
| 798 | C22×C8 | — | 9 | 2 | no | — |
| 799 | C23×C3 | — | 3 | 1 | no | — |
| 800 | C23×C3 | — | 6 | 4 | no | — |
| 801 | C23×C3 | — | 6 | 2 | no | — |
| 802 | C23×C3 | — | 6 | 2 | no | — |
| 803 | C22×D3 | — | 2 | 2 | no | — |
| 804 | C22×D3 | — | 2 | 2 | no | — |
| 805 | C22×D3 | — | 2 | 4 | no | — |
| 806 | C22×D3 | — | 3 | 2 | no | — |
| 807 | C22×D3 | — | 3 | 2 | no | — |
| 808 | C22×D3 | — | 6 | 4 | no | — |
| 809 | C22×D3 | — | 6 | 4 | no | — |
| 810 | C22×D3 | D3×D4 | 1 | 1 | yes | characteristic |
| 811 | C3×Q8 | — | 2 | 2 | no | — |
| 812 | C3×Q8 | — | 3 | 1 | no | — |
| 813 | C3×Q8 | — | 3 | 2 | no | — |
| 814 | C3×Q8 | — | 6 | 2 | no | — |
| 815 | C3×Q8 | C23×D3 | 1 | 2 | yes | — |
| 816 | C3×Q8 | C23×D3 | 1 | 2 | yes | — |
| 817 | C3×D4 | — | 2 | 2 | no | — |
| 818 | C3×D4 | — | 2 | 2 | no | — |
| 819 | C3×D4 | — | 2 | 2 | no | — |
| 820 | C3×D4 | — | 3 | 2 | no | — |
| 821 | C3×D4 | — | 3 | 1 | no | — |
| 822 | C3×D4 | — | 3 | 2 | no | — |
| 823 | C3×D4 | — | 3 | 4 | no | — |
| 824 | C3×D4 | — | 4 | 2 | no | — |
| 825 | C3×D4 | — | 6 | 2 | no | — |
| 826 | C3×D4 | — | 6 | 4 | no | — |
| 827 | C3×D4 | — | 6 | 2 | no | — |
| 828 | C3×D4 | — | 6 | 4 | no | — |
| 829 | C3×D4 | — | 6 | 2 | no | — |
| 830 | C3×D4 | — | 6 | 2 | no | — |
| 831 | C3×D4 | — | 6 | 2 | no | — |
| 832 | C3×D4 | C23×D3 | 1 | 2 | yes | — |
| 833 | C3×D4 | C23×D3 | 1 | 2 | yes | — |
| 834 | C2×C3×C4 | — | 2 | 2 | no | — |
| 835 | C2×C3×C4 | — | 2 | 2 | no | — |
| 836 | C2×C3×C4 | — | 2 | 1 | no | — |
| 837 | C2×C3×C4 | — | 3 | 1 | no | — |
| 838 | C2×C3×C4 | — | 3 | 1 | no | — |
| 839 | C2×C3×C4 | — | 3 | 1 | no | — |
| 840 | C2×C3×C4 | — | 3 | 1 | no | — |
| 841 | C2×C3×C4 | — | 3 | 2 | no | — |
| 842 | C2×C3×C4 | — | 3 | 1 | no | — |
| 843 | C2×C3×C4 | — | 4 | 2 | no | — |
| 844 | C2×C3×C4 | — | 6 | 4 | no | — |
| 845 | C2×C3×C4 | — | 6 | 2 | no | — |
| 846 | C2×C3×C4 | — | 6 | 2 | no | — |
| 847 | C2×C3×C4 | — | 6 | 2 | no | — |
| 848 | C2×C3×C4 | — | 6 | 2 | no | — |
| 849 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 850 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 851 | #67 | — | 2 | 2 | no | — |
| 852 | #67 | — | 2 | 2 | no | — |
| 853 | #67 | — | 2 | 4 | no | — |
| 854 | #67 | — | 2 | 2 | no | — |
| 855 | #67 | — | 3 | 2 | no | — |
| 856 | #67 | — | 3 | 2 | no | — |
| 857 | #67 | — | 3 | 2 | no | — |
| 858 | #67 | — | 3 | 2 | no | — |
| 859 | #67 | — | 3 | 2 | no | — |
| 860 | #67 | — | 3 | 2 | no | — |
| 861 | #67 | — | 6 | 2 | no | — |
| 862 | #67 | — | 6 | 4 | no | — |
| 863 | #67 | — | 6 | 4 | no | — |
| 864 | #67 | — | 6 | 4 | no | — |
| 865 | #67 | — | 6 | 4 | no | — |
| 866 | #67 | — | 6 | 4 | no | — |
| 867 | #67 | — | 6 | 4 | no | — |
| 868 | #67 | — | 6 | 4 | no | — |
| 869 | #67 | — | 6 | 4 | no | — |
| 870 | #67 | — | 6 | 4 | no | — |
| 871 | #67 | — | 6 | 4 | no | — |
| 872 | #67 | — | 6 | 4 | no | — |
| 873 | #67 | — | 12 | 4 | no | — |
| 874 | #67 | D3×D4 | 1 | 2 | yes | — |
| 875 | C2×Dic3 | — | 2 | 2 | no | — |
| 876 | C2×Dic3 | — | 3 | 2 | no | — |
| 877 | C2×Dic3 | — | 3 | 2 | no | — |
| 878 | C2×Dic3 | — | 6 | 4 | no | — |
| 879 | C2×Dic3 | — | 6 | 4 | no | — |
| 880 | C2×Dic3 | — | 6 | 4 | no | — |
| 881 | C2×Dic3 | — | 6 | 4 | no | — |
| 882 | C2×Dic3 | — | 6 | 2 | no | — |
| 883 | C2×Dic3 | — | 6 | 2 | no | — |
| 884 | C2×Dic3 | — | 6 | 4 | no | — |
| 885 | C2×Dic3 | — | 6 | 4 | no | — |
| 886 | C2×Dic3 | — | 6 | 4 | no | — |
| 887 | C2×Dic3 | — | 12 | 4 | no | — |
| 888 | C2×Dic3 | — | 12 | 2 | no | — |
| 889 | C2×Dic3 | D3×D4 | 1 | 1 | yes | characteristic |
| 890 | D12 | — | 2 | 4 | no | — |
| 891 | D12 | — | 2 | 2 | no | — |
| 892 | D12 | — | 2 | 2 | no | — |
| 893 | D12 | — | 3 | 2 | no | — |
| 894 | D12 | — | 3 | 2 | no | — |
| 895 | D12 | — | 3 | 1 | no | — |
| 896 | D12 | — | 3 | 1 | no | — |
| 897 | D12 | — | 6 | 1 | no | — |
| 898 | D12 | — | 6 | 4 | no | — |
| 899 | D12 | D3×D4 | 1 | 1 | yes | characteristic |
| 900 | D12 | C23×D3 | 1 | 2 | yes | — |
| 901 | D12 | C23×D3 | 1 | 4 | yes | — |
| 902 | C4×D3 | — | 2 | 2 | no | — |
| 903 | C4×D3 | — | 2 | 2 | no | — |
| 904 | C4×D3 | — | 2 | 2 | no | — |
| 905 | C4×D3 | — | 2 | 4 | no | — |
| 906 | C4×D3 | — | 3 | 2 | no | — |
| 907 | C4×D3 | — | 3 | 2 | no | — |
| 908 | C4×D3 | — | 3 | 2 | no | — |
| 909 | C4×D3 | — | 3 | 2 | no | — |
| 910 | C4×D3 | — | 3 | 2 | no | — |
| 911 | C4×D3 | — | 3 | 2 | no | — |
| 912 | C4×D3 | — | 6 | 2 | no | — |
| 913 | C4×D3 | — | 6 | 4 | no | — |
| 914 | C4×D3 | — | 6 | 4 | no | — |
| 915 | C4×D3 | — | 6 | 4 | no | — |
| 916 | C4×D3 | — | 6 | 4 | no | — |
| 917 | C4×D3 | — | 6 | 4 | no | — |
| 918 | C4×D3 | — | 6 | 4 | no | — |
| 919 | C4×D3 | — | 6 | 4 | no | — |
| 920 | C4×D3 | — | 12 | 4 | no | — |
| 921 | C4×D3 | D3×D4 | 1 | 1 | yes | characteristic |
| 922 | C4×D3 | D3×D4 | 1 | 1 | yes | characteristic |
| 923 | C4×D3 | C23×D3 | 1 | 1 | yes | characteristic |
| 924 | C4×D3 | C23×D3 | 1 | 2 | yes | — |
| 925 | C4×D3 | C23×D3 | 1 | 1 | yes | characteristic |
| 926 | Dic6 | — | 2 | 2 | no | — |
| 927 | Dic6 | — | 3 | 1 | no | — |
| 928 | Dic6 | — | 3 | 1 | no | — |
| 929 | Dic6 | — | 3 | 2 | no | — |
| 930 | Dic6 | — | 3 | 2 | no | — |
| 931 | Dic6 | — | 3 | 4 | no | — |
| 932 | Dic6 | — | 3 | 4 | no | — |
| 933 | Dic6 | — | 6 | 1 | no | — |
| 934 | Dic6 | — | 6 | 4 | no | — |
| 935 | Dic6 | — | 6 | 4 | no | — |
| 936 | Dic6 | — | 6 | 4 | no | — |
| 937 | Dic6 | — | 6 | 4 | no | — |
| 938 | Dic6 | — | 6 | 2 | no | — |
| 939 | Dic6 | — | 6 | 2 | no | — |
| 940 | Dic6 | — | 6 | 4 | no | — |
| 941 | Dic6 | — | 12 | 4 | no | — |
| 942 | Dic6 | — | 12 | 2 | no | — |
| 943 | Dic6 | D3×D4 | 1 | 1 | yes | characteristic |
| 944 | Dic6 | C23×D3 | 1 | 2 | yes | — |
| 945 | C3×C8 | — | 2 | 1 | no | — |
| 946 | C3×C8 | — | 2 | 1 | no | — |
| 947 | C3×C8 | — | 3 | 1 | no | — |
| 948 | C3×C8 | — | 3 | 2 | no | — |
| 949 | C3×C8 | — | 3 | 1 | no | — |
| 950 | C3×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 951 | C3×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 952 | C3×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 953 | C3×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 954 | C3⋊C8 | — | 3 | 2 | no | — |
| 955 | C3⋊C8 | — | 3 | 2 | no | — |
| 956 | C3⋊C8 | — | 6 | 2 | no | — |
| 957 | C3⋊C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 958 | C3⋊C8 | C23×D3 | 1 | 2 | yes | — |
| 959 | C3⋊C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 960 | C2×C32 | — | 2 | 1 | no | — |
| 961 | C2×C32 | — | 4 | 2 | no | — |
| 962 | C2×C32 | C23×D4 | 1 | 1 | yes | characteristic |
| 963 | C3⋊D3 | — | 2 | 2 | no | — |
| 964 | C3×D3 | — | 2 | 1 | no | — |
| 965 | C3×D3 | — | 2 | 2 | no | — |
| 966 | C3×D3 | — | 2 | 1 | no | — |
| 967 | C3×D3 | — | 4 | 2 | no | — |
| 968 | C3×D3 | — | 4 | 4 | no | — |
| 969 | #41 | — | 3 | 1 | no | — |
| 970 | #41 | — | 3 | 2 | no | — |
| 971 | #41 | — | 3 | 4 | no | — |
| 972 | #41 | — | 3 | 2 | no | — |
| 973 | #41 | — | 3 | 2 | no | — |
| 974 | #41 | — | 6 | 2 | no | — |
| 975 | #41 | — | 6 | 2 | no | — |
| 976 | #41 | — | 6 | 2 | no | — |
| 977 | #41 | — | 9 | 2 | no | — |
| 978 | #41 | — | 9 | 2 | no | — |
| 979 | #41 | — | 9 | 1 | no | — |
| 980 | #41 | — | 9 | 1 | no | — |
| 981 | #41 | — | 9 | 4 | no | — |
| 982 | #41 | — | 9 | 4 | no | — |
| 983 | #41 | — | 9 | 4 | no | — |
| 984 | #41 | — | 9 | 1 | no | — |
| 985 | #41 | — | 9 | 4 | no | — |
| 986 | #41 | — | 9 | 4 | no | — |
| 987 | #41 | — | 18 | 2 | no | — |
| 988 | #41 | — | 18 | 2 | no | — |
| 989 | #41 | — | 18 | 2 | no | — |
| 990 | #41 | — | 18 | 4 | no | — |
| 991 | #41 | — | 18 | 4 | no | — |
| 992 | #41 | — | 18 | 4 | no | — |
| 993 | #41 | — | 18 | 4 | no | — |
| 994 | #41 | — | 18 | 2 | no | — |
| 995 | #41 | — | 18 | 4 | no | — |
| 996 | #41 | — | 18 | 2 | no | — |
| 997 | #41 | — | 18 | 4 | no | — |
| 998 | #41 | — | 18 | 4 | no | — |
| 999 | #41 | — | 18 | 4 | no | — |
| 1000 | #41 | — | 18 | 4 | no | — |
| 1001 | #41 | — | 18 | 4 | no | — |
| 1002 | #41 | C2×D32 | 1 | 2 | yes | — |
| 1003 | C2×Q8 | — | 3 | 2 | no | — |
| 1004 | C2×Q8 | — | 9 | 1 | no | — |
| 1005 | C2×Q8 | — | 9 | 4 | no | — |
| 1006 | C2×Q8 | — | 9 | 4 | no | — |
| 1007 | C2×Q8 | — | 9 | 2 | no | — |
| 1008 | C2×Q8 | — | 18 | 2 | no | — |
| 1009 | C2×Q8 | — | 18 | 2 | no | — |
| 1010 | C2×Q8 | — | 18 | 4 | no | — |
| 1011 | C2×D4 | — | 3 | 2 | no | — |
| 1012 | C2×D4 | — | 3 | 4 | no | — |
| 1013 | C2×D4 | — | 3 | 2 | no | — |
| 1014 | C2×D4 | — | 6 | 2 | no | — |
| 1015 | C2×D4 | — | 6 | 4 | no | — |
| 1016 | C2×D4 | — | 6 | 2 | no | — |
| 1017 | C2×D4 | — | 9 | 1 | no | — |
| 1018 | C2×D4 | — | 9 | 4 | no | — |
| 1019 | C2×D4 | — | 9 | 2 | no | — |
| 1020 | C2×D4 | — | 18 | 2 | no | — |
| 1021 | C2×D4 | — | 18 | 4 | no | — |
| 1022 | C2×D4 | — | 18 | 4 | no | — |
| 1023 | C2×D4 | — | 18 | 4 | no | — |
| 1024 | C2×D4 | — | 18 | 4 | no | — |
| 1025 | C2×D4 | — | 18 | 4 | no | — |
| 1026 | C2×D4 | — | 18 | 4 | no | — |
| 1027 | C2×D4 | — | 18 | 2 | no | — |
| 1028 | C22×C4 | — | 3 | 1 | no | — |
| 1029 | C22×C4 | — | 6 | 2 | no | — |
| 1030 | C22×C4 | — | 9 | 2 | no | — |
| 1031 | C22×C4 | — | 18 | 2 | no | — |
| 1032 | C22×C4 | — | 18 | 4 | no | — |
| 1033 | C22×C4 | — | 18 | 4 | no | — |
| 1034 | Q16 | — | 3 | 2 | no | — |
| 1035 | Q16 | — | 3 | 1 | no | — |
| 1036 | Q16 | — | 9 | 4 | no | — |
| 1037 | Q16 | — | 9 | 4 | no | — |
| 1038 | Q16 | — | 9 | 2 | no | — |
| 1039 | Q16 | — | 9 | 2 | no | — |
| 1040 | Q16 | C2×D32 | 1 | 1 | yes | characteristic |
| 1041 | SD16 | — | 3 | 2 | no | — |
| 1042 | SD16 | — | 3 | 4 | no | — |
| 1043 | SD16 | — | 3 | 2 | no | — |
| 1044 | SD16 | — | 3 | 2 | no | — |
| 1045 | SD16 | — | 9 | 4 | no | — |
| 1046 | SD16 | — | 9 | 4 | no | — |
| 1047 | SD16 | — | 9 | 4 | no | — |
| 1048 | SD16 | — | 9 | 4 | no | — |
| 1049 | SD16 | — | 9 | 4 | no | — |
| 1050 | SD16 | C2×D32 | 1 | 2 | yes | — |
| 1051 | D8 | — | 3 | 2 | no | — |
| 1052 | D8 | — | 3 | 4 | no | — |
| 1053 | D8 | — | 3 | 2 | no | — |
| 1054 | D8 | — | 3 | 1 | no | — |
| 1055 | D8 | — | 3 | 2 | no | — |
| 1056 | D8 | — | 9 | 4 | no | — |
| 1057 | D8 | C2×D32 | 1 | 1 | yes | characteristic |
| 1058 | M16 | — | 3 | 1 | no | — |
| 1059 | M16 | — | 3 | 2 | no | — |
| 1060 | M16 | — | 9 | 2 | no | — |
| 1061 | M16 | — | 9 | 2 | no | — |
| 1062 | M16 | — | 9 | 2 | no | — |
| 1063 | M16 | — | 9 | 1 | no | — |
| 1064 | M16 | — | 9 | 2 | no | — |
| 1065 | C2×C8 | — | 3 | 1 | no | — |
| 1066 | C2×C8 | — | 3 | 1 | no | — |
| 1067 | C2×C8 | — | 3 | 1 | no | — |
| 1068 | C2×C8 | — | 3 | 1 | no | — |
| 1069 | C2×C8 | — | 3 | 1 | no | — |
| 1070 | C2×C8 | — | 3 | 2 | no | — |
| 1071 | C2×C8 | — | 9 | 2 | no | — |
| 1072 | C2×C8 | — | 9 | 2 | no | — |
| 1073 | C2×C8 | — | 9 | 2 | no | — |
| 1074 | C2×C8 | — | 9 | 2 | no | — |
| 1075 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 1076 | C22×C3 | — | 2 | 2 | no | — |
| 1077 | C22×C3 | — | 2 | 2 | no | — |
| 1078 | C22×C3 | — | 2 | 1 | no | — |
| 1079 | C22×C3 | — | 3 | 1 | no | — |
| 1080 | C22×C3 | — | 3 | 2 | no | — |
| 1081 | C22×C3 | — | 3 | 1 | no | — |
| 1082 | C22×C3 | — | 4 | 2 | no | — |
| 1083 | C22×C3 | — | 6 | 4 | no | — |
| 1084 | C22×C3 | — | 6 | 2 | no | — |
| 1085 | C22×C3 | — | 12 | 1 | no | — |
| 1086 | C22×C3 | — | 24 | 2 | no | — |
| 1087 | C22×C3 | — | 24 | 4 | no | — |
| 1088 | C22×C3 | — | 24 | 2 | no | — |
| 1089 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1090 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1091 | C2×D3 | — | 2 | 2 | no | — |
| 1092 | C2×D3 | — | 2 | 4 | no | — |
| 1093 | C2×D3 | — | 3 | 2 | no | — |
| 1094 | C2×D3 | — | 3 | 2 | no | — |
| 1095 | C2×D3 | — | 4 | 1 | no | — |
| 1096 | C2×D3 | — | 6 | 2 | no | — |
| 1097 | C2×D3 | — | 8 | 2 | no | — |
| 1098 | C2×D3 | — | 8 | 4 | no | — |
| 1099 | C2×D3 | — | 8 | 2 | no | — |
| 1100 | C2×D3 | — | 12 | 2 | no | — |
| 1101 | C2×D3 | — | 12 | 2 | no | — |
| 1102 | C2×D3 | — | 24 | 4 | no | — |
| 1103 | C2×D3 | — | 24 | 4 | no | — |
| 1104 | C2×D3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1105 | C2×D3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1106 | C2×D3 | C2×D3×D4 | 1 | 2 | yes | — |
| 1107 | C3×C4 | — | 2 | 2 | no | — |
| 1108 | C3×C4 | — | 2 | 2 | no | — |
| 1109 | C3×C4 | — | 2 | 1 | no | — |
| 1110 | C3×C4 | — | 2 | 1 | no | — |
| 1111 | C3×C4 | — | 3 | 1 | no | — |
| 1112 | C3×C4 | — | 3 | 2 | no | — |
| 1113 | C3×C4 | — | 3 | 1 | no | — |
| 1114 | C3×C4 | — | 4 | 2 | no | — |
| 1115 | C3×C4 | — | 6 | 2 | no | — |
| 1116 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1117 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1118 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1119 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1120 | Dic3 | — | 2 | 2 | no | — |
| 1121 | Dic3 | — | 3 | 2 | no | — |
| 1122 | Dic3 | — | 3 | 2 | no | — |
| 1123 | Dic3 | — | 6 | 2 | no | — |
| 1124 | Dic3 | — | 6 | 4 | no | — |
| 1125 | Dic3 | — | 6 | 4 | no | — |
| 1126 | Dic3 | — | 12 | 4 | no | — |
| 1127 | Dic3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1128 | Dic3 | C2×D3×D4 | 1 | 2 | yes | — |
| 1129 | Dic3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 1130 | C32 | #3584 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1131 | C23 | — | 3 | 1 | no | — |
| 1132 | C23 | — | 6 | 2 | no | — |
| 1133 | C23 | — | 6 | 4 | no | — |
| 1134 | C23 | — | 6 | 2 | no | — |
| 1135 | C23 | — | 9 | 2 | no | — |
| 1136 | C23 | — | 18 | 4 | no | — |
| 1137 | Q8 | — | 3 | 1 | no | — |
| 1138 | Q8 | — | 3 | 2 | no | — |
| 1139 | Q8 | — | 6 | 2 | no | — |
| 1140 | Q8 | — | 9 | 2 | no | — |
| 1141 | Q8 | — | 9 | 1 | no | — |
| 1142 | Q8 | — | 9 | 4 | no | — |
| 1143 | Q8 | — | 18 | 4 | no | — |
| 1144 | Q8 | — | 18 | 4 | no | — |
| 1145 | Q8 | — | 18 | 2 | no | — |
| 1146 | Q8 | C22×D32 | 1 | 2 | yes | — |
| 1147 | D4 | — | 2 | 2 | no | — |
| 1148 | D4 | — | 3 | 2 | no | — |
| 1149 | D4 | — | 3 | 1 | no | — |
| 1150 | D4 | — | 3 | 4 | no | — |
| 1151 | D4 | — | 3 | 2 | no | — |
| 1152 | D4 | — | 6 | 4 | no | — |
| 1153 | D4 | — | 6 | 2 | no | — |
| 1154 | D4 | — | 6 | 4 | no | — |
| 1155 | D4 | — | 6 | 2 | no | — |
| 1156 | D4 | — | 6 | 2 | no | — |
| 1157 | D4 | — | 6 | 2 | no | — |
| 1158 | D4 | — | 6 | 2 | no | — |
| 1159 | D4 | — | 9 | 2 | no | — |
| 1160 | D4 | — | 9 | 2 | no | — |
| 1161 | D4 | — | 9 | 2 | no | — |
| 1162 | D4 | — | 9 | 2 | no | — |
| 1163 | D4 | — | 9 | 1 | no | — |
| 1164 | D4 | — | 18 | 4 | no | — |
| 1165 | D4 | — | 18 | 4 | no | — |
| 1166 | D4 | — | 18 | 4 | no | — |
| 1167 | D4 | — | 18 | 4 | no | — |
| 1168 | D4 | — | 18 | 4 | no | — |
| 1169 | D4 | — | 18 | 4 | no | — |
| 1170 | D4 | C22×D32 | 1 | 2 | yes | — |
| 1171 | C2×C4 | — | 2 | 2 | no | — |
| 1172 | C2×C4 | — | 3 | 1 | no | — |
| 1173 | C2×C4 | — | 3 | 1 | no | — |
| 1174 | C2×C4 | — | 3 | 1 | no | — |
| 1175 | C2×C4 | — | 3 | 1 | no | — |
| 1176 | C2×C4 | — | 3 | 1 | no | — |
| 1177 | C2×C4 | — | 3 | 2 | no | — |
| 1178 | C2×C4 | — | 6 | 2 | no | — |
| 1179 | C2×C4 | — | 6 | 4 | no | — |
| 1180 | C2×C4 | — | 6 | 2 | no | — |
| 1181 | C2×C4 | — | 6 | 2 | no | — |
| 1182 | C2×C4 | — | 6 | 2 | no | — |
| 1183 | C2×C4 | — | 9 | 2 | no | — |
| 1184 | C2×C4 | — | 9 | 2 | no | — |
| 1185 | C2×C4 | — | 9 | 2 | no | — |
| 1186 | C2×C4 | — | 9 | 2 | no | — |
| 1187 | C2×C4 | — | 18 | 4 | no | — |
| 1188 | C2×C4 | — | 18 | 4 | no | — |
| 1189 | C2×C4 | — | 18 | 4 | no | — |
| 1190 | C2×C4 | — | 18 | 4 | no | — |
| 1191 | C2×C4 | — | 18 | 4 | no | — |
| 1192 | C2×C4 | — | 18 | 4 | no | — |
| 1193 | C2×C4 | — | 18 | 4 | no | — |
| 1194 | C2×C4 | — | 18 | 2 | no | — |
| 1195 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 1196 | C8 | — | 3 | 1 | no | — |
| 1197 | C8 | — | 3 | 1 | no | — |
| 1198 | C8 | — | 3 | 2 | no | — |
| 1199 | C8 | — | 9 | 2 | no | — |
| 1200 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 1201 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 1202 | C2×C3 | — | 2 | 1 | no | — |
| 1203 | C2×C3 | — | 2 | 1 | no | — |
| 1204 | C2×C3 | — | 2 | 1 | no | — |
| 1205 | C2×C3 | — | 4 | 1 | no | — |
| 1206 | C2×C3 | — | 4 | 2 | no | — |
| 1207 | C2×C3 | — | 4 | 2 | no | — |
| 1208 | C2×C3 | — | 6 | 2 | no | — |
| 1209 | C2×C3 | — | 6 | 1 | no | — |
| 1210 | C2×C3 | — | 6 | 1 | no | — |
| 1211 | C2×C3 | — | 8 | 2 | no | — |
| 1212 | C2×C3 | — | 12 | 4 | no | — |
| 1213 | C2×C3 | — | 12 | 2 | no | — |
| 1214 | C2×C3 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1215 | C2×C3 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 1216 | D3 | — | 2 | 1 | no | — |
| 1217 | D3 | — | 2 | 1 | no | — |
| 1218 | D3 | — | 2 | 2 | no | — |
| 1219 | D3 | — | 4 | 2 | no | — |
| 1220 | D3 | — | 4 | 4 | no | — |
| 1221 | D3 | — | 6 | 2 | no | — |
| 1222 | D3 | — | 6 | 2 | no | — |
| 1223 | D3 | — | 12 | 2 | no | — |
| 1224 | C22 | — | 2 | 2 | no | — |
| 1225 | C22 | — | 3 | 1 | no | — |
| 1226 | C22 | — | 3 | 1 | no | — |
| 1227 | C22 | — | 3 | 2 | no | — |
| 1228 | C22 | — | 6 | 2 | no | — |
| 1229 | C22 | — | 6 | 4 | no | — |
| 1230 | C22 | — | 9 | 2 | no | — |
| 1231 | C22 | — | 12 | 1 | no | — |
| 1232 | C22 | — | 24 | 2 | no | — |
| 1233 | C22 | — | 24 | 2 | no | — |
| 1234 | C22 | — | 24 | 4 | no | — |
| 1235 | C22 | — | 36 | 2 | no | — |
| 1236 | C22 | — | 72 | 4 | no | — |
| 1237 | C22 | D32×D4 | 1 | 1 | yes | characteristic |
| 1238 | C4 | — | 2 | 2 | no | — |
| 1239 | C4 | — | 3 | 1 | no | — |
| 1240 | C4 | — | 3 | 1 | no | — |
| 1241 | C4 | — | 3 | 2 | no | — |
| 1242 | C4 | — | 6 | 2 | no | — |
| 1243 | C4 | — | 9 | 2 | no | — |
| 1244 | C4 | — | 18 | 4 | no | — |
| 1245 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 1246 | C4 | C23×D32 | 1 | 1 | yes | characteristic |
| 1247 | C3 | — | 2 | 1 | no | — |
| 1248 | C3 | #87187 | 1 | 1 | yes | characteristic, complemented |
| 1249 | C3 | #87203 | 1 | 1 | yes | characteristic, complemented |
| 1250 | C2 | — | 2 | 1 | no | — |
| 1251 | C2 | — | 4 | 2 | no | — |
| 1252 | C2 | — | 6 | 1 | no | — |
| 1253 | C2 | — | 6 | 1 | no | — |
| 1254 | C2 | — | 6 | 2 | no | — |
| 1255 | C2 | — | 12 | 4 | no | — |
| 1256 | C2 | — | 12 | 2 | no | — |
| 1257 | C2 | — | 18 | 2 | no | — |
| 1258 | C2 | C2×D32×D4 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C2×D32×D4 |
| commutator, cosocle | C32×C4 | C25 |
| Frattini | C4 | C23×D32 |
| Fitting | C32×#135 | C22 |
| socle | C2×C32 | C23×D4 |
| hypercenter | #135 | D32 |
| hypocenter | C32 | #3584 |
| LCS | G ▷ C32×C4 ▷ C2×C32 ▷ C32 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ #135 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596696 | C2 | semidirect |
| 2. #10596242 | C2 | semidirect |
| 3. C3×#5769 | C2 | semidirect |
| 4. C3×D3×#135 | C2 | semidirect |
| 5. #10595469 | C2 | semidirect |
| 6. #10595466 | C2 | semidirect |
| 7. #10595462 | C2 | semidirect |
| 8. #10594768 | C2 | semidirect |
| 9. #10594764 | C2 | semidirect |
| 10. #10594749 | C2 | semidirect |
| 11. #10594745 | C2 | semidirect |
| 12. #10594731 | C2 | semidirect |
| 13. D3×#912 | C2 | semidirect |
| 14. C2×#63807 | C2 | semidirect |
| 15. #10594692 | C2 | semidirect |
| 16. #10594687 | C2 | semidirect |
| 17. D3×#901 | C2 | semidirect |
| 20. #64367 | C22 | semidirect |
| 21. C3×#1009 | C22 | semidirect |
| 22. C3×D3×#41 | C22 | semidirect |
| 23. #64319 | C22 | semidirect |
| 24. #64315 | C22 | semidirect |
| 26. #64313 | C22 | semidirect |
| 28. D3×#237 | C22 | semidirect |
| 30. #64307 | C22 | semidirect |
| 34. #64298 | C22 | semidirect |
| 36. C2×#3795 | C22 | semidirect |
| 37. C32×#135 | C22 | semidirect |
| 38. #64160 | C22 | semidirect |
| 39. Q16×C3⋊D3 | C22 | semidirect |
| 40. #64124 | C22 | semidirect |
| 41. #64121 | C22 | semidirect |
| 42. C2×#3746 | C22 | semidirect |
| 43. #64110 | C22 | semidirect |
| 44. C3×#950 | C22 | semidirect |
| 45. C3×#949 | C22 | semidirect |
| 46. C3×#919 | C22 | semidirect |
| 47. C3×#919 | C22 | semidirect |
| 48. C3×D3×Q16 | C22 | semidirect |
| 49. C3×#916 | C22 | semidirect |
| 50. C3×#914 | C22 | semidirect |
| 51. C3×D3×SD16 | C22 | semidirect |
| 52. C3×#912 | C22 | semidirect |
| 53. C3×D3×D8 | C22 | semidirect |
| 54. C3×D3×D8 | C22 | semidirect |
| 55. C3×#904 | C22 | semidirect |
| 56. C2×C3×D24 | C22 | semidirect |
| 57. C3×#901 | C22 | semidirect |
| 58. C2×C3×D3×C8 | C22 | semidirect |
| 59. #63951 | C22 | semidirect |
| 60. #63947 | C22 | semidirect |
| 61. #63947 | C22 | semidirect |
| 62. #63946 | C22 | semidirect |
| 63. #63943 | C22 | semidirect |
| 64. #63940 | C22 | semidirect |
| 65. #63936 | C22 | semidirect |
| 66. #63933 | C22 | semidirect |
| 67. #63932 | C22 | semidirect |
| 68. #63932 | C22 | semidirect |
| 69. D3×#214 | C22 | semidirect |
| 70. #63927 | C22 | semidirect |
| 71. #63831 | C22 | semidirect |
| 72. C2×#3716 | C22 | semidirect |
| 73. #63823 | C22 | semidirect |
| 74. #63817 | C22 | semidirect |
| 75. #63814 | C22 | semidirect |
| 76. D3×#208 | C22 | semidirect |
| 77. #63810 | C22 | semidirect |
| 78. #63807 | C22 | semidirect |
| 79. #63807 | C22 | semidirect |
| 80. #63807 | C22 | semidirect |
| 81. #63807 | C22 | semidirect |
| 82. #63807 | C22 | semidirect |
| 83. #63804 | C22 | semidirect |
| 84. #63803 | C22 | semidirect |
| 85. #63800 | C22 | semidirect |
| 86. D3×Dic12 | C22 | semidirect |
| 87. #63798 | C22 | semidirect |
| 88. #63797 | C22 | semidirect |
| 89. D3×ΓL(1,𝔽25) | C22 | semidirect |
| 90. D32×C8 | C22 | semidirect |
| 109. #5769 | D3 | semidirect |
| 114. D3×#135 | D3 | semidirect |
| 246. #1009 | C2×D3 | semidirect |
| 253. D3×#41 | C2×D3 | semidirect |
| 278. C3×#135 | C2×D3 | semidirect |
| 279. C3×#135 | C2×D3 | semidirect |
| 295. #950 | C2×D3 | semidirect |
| 297. #949 | C2×D3 | semidirect |
| 307. #919 | C2×D3 | semidirect |
| 308. #919 | C2×D3 | semidirect |
| 315. D3×Q16 | C2×D3 | semidirect |
| 319. #916 | C2×D3 | semidirect |
| 327. #914 | C2×D3 | semidirect |
| 331. D3×SD16 | C2×D3 | semidirect |
| 343. #912 | C2×D3 | semidirect |
| 351. D3×D8 | C2×D3 | semidirect |
| 352. D3×D8 | C2×D3 | semidirect |
| 368. #904 | C2×D3 | semidirect |
| 369. C2×D24 | C2×D3 | semidirect |
| 379. #901 | C2×D3 | semidirect |
| 383. C2×D3×C8 | C2×D3 | semidirect |
| 776. #135 | D32 | semidirect |
| 1130. C32 | #3584 | semidirect |
| 1248. C3 | #87187 | semidirect |
| 1249. C3 | #87203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596696 | 2 |
| #10596242 | 2 |
| C3×#5769 | 2 |
| C3×D3×#135 | 2 |
| #10595469 | 2 |
| #10595466 | 2 |
| #10595462 | 2 |
| #10594768 | 2 |
| #10594764 | 2 |
| #10594749 | 2 |
| #10594745 | 2 |
| #10594731 | 2 |
| D3×#912 | 2 |
| C2×#63807 | 2 |
| #10594692 | 2 |
| #10594687 | 2 |
| D3×#901 | 2 |
| #87203 | 3 |
| #87187 | 3 |