Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
2422 conjugacy classes of subgroups.
The subgroup lattice has 1006 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | H(5,𝔽2)×#157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3⋊D3×#453 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | AGL(1,ℤ/8)×#157 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #127×#157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11787871 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11787729 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11786685 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11786580 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11784864 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #104×#157 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #100×#157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C3⋊D3×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 13 | #10596650 | — | 2 | 2 | no | — |
| 14 | #10596650 | C22 | 1 | 2 | yes | — |
| 15 | #41×#157 | — | 2 | 2 | no | — |
| 16 | #41×#157 | C22 | 1 | 2 | yes | — |
| 17 | #10596642 | — | 2 | 2 | no | — |
| 18 | #10596642 | — | 2 | 2 | no | — |
| 19 | #10596642 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×D4×#157 | — | 2 | 2 | no | — |
| 21 | C2×D4×#157 | — | 2 | 2 | no | — |
| 22 | C2×D4×#157 | — | 2 | 2 | no | — |
| 23 | C2×D4×#157 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×D4×#157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C3⋊D3×AGL(1,ℤ/8) | C22 | 1 | 2 | yes | — |
| 26 | C3⋊D3×#127 | C22 | 1 | 1 | yes | characteristic |
| 27 | #10593840 | C22 | 1 | 2 | yes | — |
| 28 | #10593839 | C22 | 1 | 2 | yes | — |
| 29 | #10593827 | — | 2 | 2 | no | — |
| 30 | #10593827 | C22 | 1 | 1 | yes | characteristic |
| 31 | #10593827 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #10593825 | C22 | 1 | 1 | yes | characteristic |
| 33 | #10593814 | C22 | 1 | 2 | yes | complemented |
| 34 | #10593782 | — | 2 | 2 | no | — |
| 35 | SD16×#157 | — | 2 | 2 | no | — |
| 36 | #10593778 | — | 2 | 2 | no | — |
| 37 | D8×#157 | — | 2 | 2 | no | — |
| 38 | #10593774 | C22 | 1 | 2 | yes | complemented |
| 39 | M16×#157 | C22 | 1 | 2 | yes | complemented |
| 40 | #10593735 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C42×#157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C32×#453 | C4 | 1 | 1 | yes | characteristic, complemented |
| 43 | #10592940 | C4 | 1 | 1 | yes | characteristic, complemented |
| 44 | #10592897 | C4 | 1 | 2 | yes | complemented |
| 45 | #10592776 | C4 | 1 | 1 | yes | characteristic, complemented |
| 46 | #10592521 | C4 | 1 | 2 | yes | complemented |
| 47 | C3⋊D3×#104 | C22 | 1 | 2 | yes | — |
| 48 | #10592446 | C4 | 1 | 1 | yes | characteristic, complemented |
| 49 | C3⋊D3×#100 | C22 | 1 | 1 | yes | characteristic |
| 50 | #10590189 | C22 | 1 | 2 | yes | complemented |
| 51 | #10590188 | C22 | 1 | 2 | yes | complemented |
| 52 | #10590151 | C22 | 1 | 2 | yes | complemented |
| 53 | D3×#453 | — | 6 | 2 | no | — |
| 54 | C23×#157 | — | 2 | 2 | no | — |
| 55 | C23×#157 | — | 2 | 1 | no | — |
| 56 | C23×#157 | D4 | 1 | 2 | yes | — |
| 57 | C32×H(5,𝔽2) | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 58 | #64366 | — | 2 | 2 | no | — |
| 59 | #64366 | C2×C4 | 1 | 2 | yes | complemented |
| 60 | #41×C3⋊D3 | — | 2 | 2 | no | — |
| 61 | #41×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 62 | #64361 | — | 2 | 2 | no | — |
| 63 | #64361 | — | 2 | 2 | no | — |
| 64 | #64361 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 65 | C2×D4×C3⋊D3 | — | 2 | 2 | no | — |
| 66 | C2×D4×C3⋊D3 | — | 2 | 2 | no | — |
| 67 | C2×D4×C3⋊D3 | — | 2 | 2 | no | — |
| 68 | C2×D4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×D4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 70 | C2×C22⋊#157 | — | 2 | 2 | no | — |
| 71 | C2×C22⋊#157 | — | 2 | 4 | no | — |
| 72 | C2×C22⋊#157 | — | 2 | 2 | no | — |
| 73 | C2×C22⋊#157 | — | 2 | 2 | no | — |
| 74 | C2×C22⋊#157 | — | 2 | 2 | no | — |
| 75 | C2×C22⋊#157 | — | 2 | 1 | no | — |
| 76 | C2×C22⋊#157 | D4 | 1 | 2 | yes | — |
| 77 | Q8×#157 | — | 2 | 2 | no | — |
| 78 | Q8×#157 | D4 | 1 | 2 | yes | complemented |
| 79 | Q8×#157 | D4 | 1 | 2 | yes | complemented |
| 80 | D4×#157 | — | 2 | 4 | no | — |
| 81 | D4×#157 | — | 2 | 4 | no | — |
| 82 | D4×#157 | — | 2 | 4 | no | — |
| 83 | D4×#157 | — | 2 | 4 | no | — |
| 84 | D4×#157 | — | 2 | 2 | no | — |
| 85 | D4×#157 | — | 2 | 2 | no | — |
| 86 | D4×#157 | — | 2 | 2 | no | — |
| 87 | D4×#157 | — | 2 | 2 | no | — |
| 88 | D4×#157 | — | 2 | 2 | no | — |
| 89 | D4×#157 | — | 2 | 2 | no | — |
| 90 | D4×#157 | — | 2 | 4 | no | — |
| 91 | D4×#157 | — | 2 | 2 | no | — |
| 92 | D4×#157 | — | 2 | 2 | no | — |
| 93 | D4×#157 | — | 2 | 2 | no | — |
| 94 | D4×#157 | — | 4 | 8 | no | — |
| 95 | D4×#157 | D4 | 1 | 2 | yes | complemented |
| 96 | D4×#157 | D4 | 1 | 2 | yes | complemented |
| 97 | #64286 | — | 2 | 4 | no | — |
| 98 | #64286 | — | 2 | 2 | no | — |
| 99 | #64286 | — | 2 | 2 | no | — |
| 100 | #64286 | C23 | 1 | 2 | yes | — |
| 101 | C2×C4⋊#157 | — | 2 | 2 | no | — |
| 102 | C2×C4⋊#157 | — | 2 | 2 | no | — |
| 103 | C2×C4⋊#157 | — | 2 | 2 | no | — |
| 104 | C2×C4⋊#157 | C23 | 1 | 1 | yes | characteristic |
| 105 | C2×C4⋊#157 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C4×#157 | — | 2 | 2 | no | — |
| 107 | C2×C4×#157 | — | 2 | 2 | no | — |
| 108 | C2×C4×#157 | — | 2 | 1 | no | — |
| 109 | C2×C4×#157 | — | 2 | 1 | no | — |
| 110 | C2×C4×#157 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×C4×#157 | C23 | 1 | 1 | yes | characteristic |
| 112 | #64283 | C23 | 1 | 2 | yes | — |
| 113 | C32×AGL(1,ℤ/8) | C2×C4 | 1 | 2 | yes | complemented |
| 114 | C32×#127 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 115 | #64158 | C2×C4 | 1 | 2 | yes | complemented |
| 116 | #64149 | — | 2 | 2 | no | — |
| 117 | #64149 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 118 | #64149 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 119 | #64141 | C2×C4 | 1 | 2 | yes | complemented |
| 120 | #64123 | — | 2 | 2 | no | — |
| 121 | SD16×C3⋊D3 | — | 2 | 2 | no | — |
| 122 | #64120 | — | 2 | 2 | no | — |
| 123 | D8×C3⋊D3 | — | 2 | 2 | no | — |
| 124 | #64117 | C2×C4 | 1 | 2 | yes | complemented |
| 125 | M16×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 126 | #64083 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 127 | C42×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 128 | #63788 | — | 2 | 2 | no | — |
| 129 | #63785 | — | 2 | 2 | no | — |
| 130 | #63784 | — | 2 | 2 | no | — |
| 131 | #63783 | — | 2 | 2 | no | — |
| 132 | #63782 | — | 2 | 2 | no | — |
| 133 | #63782 | — | 2 | 2 | no | — |
| 134 | #63782 | — | 2 | 2 | no | — |
| 135 | #63769 | — | 2 | 2 | no | — |
| 136 | #63768 | — | 2 | 2 | no | — |
| 137 | #63767 | — | 2 | 2 | no | — |
| 138 | C8×#157 | — | 2 | 2 | no | — |
| 139 | C32×#104 | C2×C4 | 1 | 2 | yes | complemented |
| 140 | C32×#100 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 141 | #63664 | C2×C4 | 1 | 2 | yes | complemented |
| 142 | #63660 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 143 | #63652 | C2×C4 | 1 | 2 | yes | complemented |
| 144 | #63650 | C2×C4 | 1 | 2 | yes | complemented |
| 145 | #63632 | C2×C4 | 1 | 2 | yes | complemented |
| 146 | C4×#453 | — | 9 | 1 | no | maximal, Sylow |
| 147 | D3×H(5,𝔽2) | — | 6 | 2 | no | — |
| 148 | D3×AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 149 | D3×#127 | — | 6 | 2 | no | — |
| 150 | C3×#453 | — | 2 | 2 | no | — |
| 151 | #5241 | — | 6 | 2 | no | — |
| 152 | #5198 | — | 6 | 4 | no | — |
| 153 | #5077 | — | 6 | 2 | no | — |
| 154 | #4822 | — | 6 | 4 | no | — |
| 155 | D3×#104 | — | 6 | 4 | no | — |
| 156 | #4747 | — | 6 | 2 | no | — |
| 157 | D3×#100 | — | 6 | 2 | no | — |
| 158 | C23×C3⋊D3 | — | 2 | 2 | no | — |
| 159 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 160 | C23×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 161 | C22×#157 | — | 2 | 1 | no | — |
| 162 | C22×#157 | — | 2 | 2 | no | — |
| 163 | C22×#157 | — | 2 | 2 | no | — |
| 164 | C22×#157 | — | 2 | 4 | no | — |
| 165 | C22×#157 | — | 2 | 2 | no | — |
| 166 | C22×#157 | — | 2 | 2 | no | — |
| 167 | C22×#157 | — | 2 | 2 | no | — |
| 168 | C22×#157 | — | 2 | 2 | no | — |
| 169 | C22×#157 | — | 2 | 1 | no | — |
| 170 | C22×#157 | — | 4 | 4 | no | — |
| 171 | C22×#157 | — | 4 | 4 | no | — |
| 172 | C22×#157 | — | 4 | 1 | no | — |
| 173 | C22×#157 | — | 4 | 1 | no | — |
| 174 | C22×#157 | — | 8 | 4 | no | — |
| 175 | C22×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C22×#157 | C2×D4 | 1 | 2 | yes | — |
| 177 | C22×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | C32×#41 | — | 2 | 2 | no | — |
| 179 | C32×#41 | C22×C4 | 1 | 2 | yes | — |
| 180 | C2×C32×D4 | — | 2 | 2 | no | — |
| 181 | C2×C32×D4 | — | 2 | 2 | no | — |
| 182 | C2×C32×D4 | — | 2 | 2 | no | — |
| 183 | C2×C32×D4 | C22×C4 | 1 | 1 | yes | characteristic |
| 184 | C2×C32×D4 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 185 | C2×#638 | — | 2 | 2 | no | — |
| 186 | C2×#638 | — | 2 | 4 | no | — |
| 187 | C2×#638 | — | 2 | 2 | no | — |
| 188 | C2×#638 | — | 2 | 2 | no | — |
| 189 | C2×#638 | — | 2 | 2 | no | — |
| 190 | C2×#638 | — | 2 | 1 | no | — |
| 191 | C2×#638 | #41 | 1 | 2 | yes | — |
| 192 | #3832 | — | 2 | 2 | no | — |
| 193 | #3832 | #41 | 1 | 2 | yes | — |
| 194 | Q8×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 195 | #3830 | — | 2 | 4 | no | — |
| 196 | #3830 | — | 2 | 2 | no | — |
| 197 | #3830 | — | 2 | 2 | no | — |
| 198 | #3830 | #41 | 1 | 2 | yes | — |
| 199 | D4×C3⋊D3 | — | 2 | 4 | no | — |
| 200 | D4×C3⋊D3 | — | 2 | 4 | no | — |
| 201 | D4×C3⋊D3 | — | 2 | 4 | no | — |
| 202 | D4×C3⋊D3 | — | 2 | 4 | no | — |
| 203 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 204 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 205 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 206 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 207 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 208 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 209 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 210 | D4×C3⋊D3 | — | 4 | 4 | no | — |
| 211 | D4×C3⋊D3 | — | 4 | 4 | no | — |
| 212 | D4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 213 | #3828 | — | 2 | 4 | no | — |
| 214 | #3828 | — | 2 | 2 | no | — |
| 215 | #3828 | — | 2 | 2 | no | — |
| 216 | #3828 | C22×C4 | 1 | 2 | yes | — |
| 217 | C2×C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 218 | C2×C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 219 | C2×C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 220 | C2×C4⋊(C3⋊D3) | C22×C4 | 1 | 1 | yes | characteristic |
| 221 | C2×C4⋊(C3⋊D3) | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 222 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 223 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 224 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 225 | C2×C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 226 | C22⋊#157 | — | 2 | 4 | no | — |
| 227 | C22⋊#157 | — | 2 | 4 | no | — |
| 228 | C22⋊#157 | — | 2 | 2 | no | — |
| 229 | C22⋊#157 | — | 2 | 4 | no | — |
| 230 | C22⋊#157 | — | 2 | 2 | no | — |
| 231 | C22⋊#157 | — | 2 | 2 | no | — |
| 232 | C22⋊#157 | — | 4 | 4 | no | — |
| 233 | C22⋊#157 | — | 4 | 4 | no | — |
| 234 | C22⋊#157 | — | 4 | 2 | no | — |
| 235 | #3792 | — | 2 | 2 | no | — |
| 236 | C4⋊#157 | — | 2 | 4 | no | — |
| 237 | C4⋊#157 | — | 2 | 2 | no | — |
| 238 | C4⋊#157 | — | 2 | 2 | no | — |
| 239 | C4⋊#157 | — | 2 | 2 | no | — |
| 240 | C4⋊#157 | — | 2 | 2 | no | — |
| 241 | C4⋊#157 | — | 4 | 4 | no | — |
| 242 | C4⋊#157 | C2×D4 | 1 | 2 | yes | — |
| 243 | C4⋊#157 | C2×D4 | 1 | 2 | yes | — |
| 244 | C4×#157 | — | 2 | 4 | no | — |
| 245 | C4×#157 | — | 2 | 4 | no | — |
| 246 | C4×#157 | — | 2 | 2 | no | — |
| 247 | C4×#157 | — | 2 | 2 | no | — |
| 248 | C4×#157 | — | 2 | 2 | no | — |
| 249 | C4×#157 | — | 2 | 2 | no | — |
| 250 | C4×#157 | — | 4 | 2 | no | — |
| 251 | C4×#157 | C2×D4 | 1 | 2 | yes | — |
| 252 | C4×#157 | C2×D4 | 1 | 2 | yes | — |
| 253 | #3788 | — | 2 | 2 | no | — |
| 254 | #3787 | — | 2 | 2 | no | — |
| 255 | C32×SD16 | — | 2 | 2 | no | — |
| 256 | C32×D8 | — | 2 | 2 | no | — |
| 257 | C32×M16 | C22×C4 | 1 | 2 | yes | complemented |
| 258 | C32×C42 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 259 | #3755 | — | 2 | 2 | no | — |
| 260 | #3754 | — | 2 | 2 | no | — |
| 261 | #3753 | — | 2 | 2 | no | — |
| 262 | #3753 | — | 2 | 2 | no | — |
| 263 | C4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 264 | C4×C3⋊Dic3 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 265 | #3748 | C22×C4 | 1 | 2 | yes | complemented |
| 266 | #3745 | — | 2 | 2 | no | — |
| 267 | #3744 | — | 2 | 2 | no | — |
| 268 | #3743 | — | 2 | 2 | no | — |
| 269 | C8×C3⋊D3 | — | 2 | 2 | no | — |
| 270 | C4×H(5,𝔽2) | — | 9 | 1 | no | — |
| 271 | C2×#453 | — | 9 | 1 | no | — |
| 272 | C4×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 273 | C4×#127 | — | 9 | 1 | no | — |
| 274 | #1887 | — | 9 | 1 | no | — |
| 275 | #1883 | — | 9 | 2 | no | — |
| 276 | #1859 | — | 9 | 2 | no | — |
| 277 | #1856 | — | 9 | 1 | no | — |
| 278 | #1792 | — | 9 | 1 | no | — |
| 279 | C4×#104 | — | 9 | 2 | no | — |
| 280 | C4×#100 | — | 9 | 1 | no | — |
| 281 | C3×H(5,𝔽2) | — | 2 | 2 | no | — |
| 282 | #1009 | — | 6 | 4 | no | — |
| 283 | #1009 | — | 12 | 4 | no | — |
| 284 | D3×#41 | — | 6 | 4 | no | — |
| 285 | D3×#41 | — | 12 | 4 | no | — |
| 286 | #1004 | — | 6 | 2 | no | — |
| 287 | #1004 | — | 12 | 4 | no | — |
| 288 | #1004 | — | 12 | 4 | no | — |
| 289 | C2×D3×D4 | — | 6 | 2 | no | — |
| 290 | C2×D3×D4 | — | 6 | 2 | no | — |
| 291 | C2×D3×D4 | — | 12 | 4 | no | — |
| 292 | C2×D3×D4 | — | 12 | 4 | no | — |
| 293 | C2×D3×D4 | — | 12 | 4 | no | — |
| 294 | C3×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 295 | C3×#127 | — | 2 | 2 | no | — |
| 296 | #949 | — | 6 | 4 | no | — |
| 297 | #940 | — | 6 | 2 | no | — |
| 298 | #940 | — | 6 | 2 | no | — |
| 299 | #940 | — | 12 | 4 | no | — |
| 300 | #932 | — | 6 | 4 | no | — |
| 301 | #914 | — | 12 | 4 | no | — |
| 302 | D3×SD16 | — | 12 | 4 | no | — |
| 303 | #911 | — | 12 | 4 | no | — |
| 304 | D3×D8 | — | 12 | 4 | no | — |
| 305 | #908 | — | 6 | 4 | no | — |
| 306 | D3×M16 | — | 6 | 4 | no | — |
| 307 | #874 | — | 6 | 2 | no | — |
| 308 | C42×D3 | — | 6 | 2 | no | — |
| 309 | C3×#104 | — | 2 | 4 | no | — |
| 310 | C3×#100 | — | 2 | 2 | no | — |
| 311 | #837 | — | 6 | 4 | no | — |
| 312 | #833 | — | 6 | 2 | no | — |
| 313 | #825 | — | 6 | 4 | no | — |
| 314 | #823 | — | 6 | 4 | no | — |
| 315 | #805 | — | 6 | 4 | no | — |
| 316 | C23×C32 | — | 2 | 2 | no | — |
| 317 | C23×C32 | — | 2 | 1 | no | — |
| 318 | C23×C32 | C4×D4 | 1 | 2 | yes | — |
| 319 | C22×C3⋊D3 | — | 2 | 4 | no | — |
| 320 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 321 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 322 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 323 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 324 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 325 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 326 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 327 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 328 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 329 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 330 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 331 | C22×C3⋊D3 | — | 8 | 2 | no | — |
| 332 | C22×C3⋊D3 | — | 8 | 2 | no | — |
| 333 | C22×C3⋊D3 | C4×D4 | 1 | 2 | yes | — |
| 334 | C22×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 335 | C2×#157 | — | 2 | 2 | no | — |
| 336 | C2×#157 | — | 2 | 2 | no | — |
| 337 | C2×#157 | — | 2 | 2 | no | — |
| 338 | C2×#157 | — | 2 | 2 | no | — |
| 339 | C2×#157 | — | 2 | 2 | no | — |
| 340 | C2×#157 | — | 4 | 1 | no | — |
| 341 | C2×#157 | — | 4 | 1 | no | — |
| 342 | C2×#157 | — | 4 | 1 | no | — |
| 343 | C2×#157 | — | 4 | 4 | no | — |
| 344 | C2×#157 | — | 4 | 4 | no | — |
| 345 | C2×#157 | — | 4 | 2 | no | — |
| 346 | C2×#157 | — | 4 | 2 | no | — |
| 347 | C2×#157 | — | 4 | 1 | no | — |
| 348 | C2×#157 | — | 8 | 2 | no | — |
| 349 | C2×#157 | — | 8 | 2 | no | — |
| 350 | C2×#157 | — | 8 | 2 | no | — |
| 351 | C2×#157 | — | 8 | 2 | no | — |
| 352 | C2×#157 | — | 8 | 4 | no | — |
| 353 | C2×#157 | — | 8 | 2 | no | — |
| 354 | C2×#157 | — | 8 | 2 | no | — |
| 355 | C2×#157 | #120 | 1 | 1 | yes | characteristic |
| 356 | C2×#157 | #120 | 1 | 2 | yes | — |
| 357 | C2×#157 | #120 | 1 | 1 | yes | characteristic |
| 358 | C32×Q8 | C4×D4 | 1 | 2 | yes | complemented |
| 359 | C32×D4 | — | 2 | 4 | no | — |
| 360 | C32×D4 | — | 2 | 2 | no | — |
| 361 | C32×D4 | — | 2 | 2 | no | — |
| 362 | C32×D4 | — | 2 | 2 | no | — |
| 363 | C32×D4 | — | 4 | 4 | no | — |
| 364 | C32×D4 | C4×D4 | 1 | 2 | yes | complemented |
| 365 | C2×C32×C4 | — | 2 | 2 | no | — |
| 366 | C2×C32×C4 | — | 2 | 1 | no | — |
| 367 | C2×C32×C4 | — | 2 | 2 | no | — |
| 368 | C2×C32×C4 | C23×C4 | 1 | 1 | yes | characteristic |
| 369 | #638 | — | 2 | 4 | no | — |
| 370 | #638 | — | 2 | 4 | no | — |
| 371 | #638 | — | 2 | 2 | no | — |
| 372 | #638 | — | 2 | 2 | no | — |
| 373 | #638 | — | 2 | 4 | no | — |
| 374 | #638 | — | 2 | 2 | no | — |
| 375 | #638 | — | 4 | 4 | no | — |
| 376 | #638 | — | 4 | 4 | no | — |
| 377 | #638 | — | 4 | 2 | no | — |
| 378 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 379 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 380 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 381 | C2×C3⋊Dic3 | C2×#41 | 1 | 1 | yes | characteristic |
| 382 | C4⋊(C3⋊D3) | — | 2 | 4 | no | — |
| 383 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 384 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 385 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 386 | C4⋊(C3⋊D3) | — | 4 | 4 | no | — |
| 387 | C4⋊(C3⋊D3) | C4×D4 | 1 | 2 | yes | complemented |
| 388 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 389 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 390 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 391 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 392 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 393 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 394 | C4×C3⋊D3 | C22×D4 | 1 | 2 | yes | — |
| 395 | C4×C3⋊D3 | C2×#41 | 1 | 2 | yes | — |
| 396 | #634 | — | 2 | 2 | no | — |
| 397 | #634 | C4×D4 | 1 | 2 | yes | complemented |
| 398 | #622 | — | 4 | 2 | no | — |
| 399 | C32×C8 | — | 2 | 2 | no | — |
| 400 | C3⋊(C3⋊C8) | — | 2 | 2 | no | — |
| 401 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 402 | C2×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 403 | C2×#127 | — | 9 | 1 | no | — |
| 404 | #520 | — | 9 | 2 | no | — |
| 405 | #520 | — | 18 | 2 | no | — |
| 406 | #518 | — | 9 | 1 | no | — |
| 407 | #518 | — | 18 | 2 | no | — |
| 408 | #518 | — | 18 | 2 | no | — |
| 409 | C4×#41 | — | 9 | 2 | no | — |
| 410 | C4×#41 | — | 18 | 2 | no | — |
| 411 | C2×C4×D4 | — | 9 | 1 | no | — |
| 412 | C2×C4×D4 | — | 9 | 1 | no | — |
| 413 | C2×C4×D4 | — | 18 | 2 | no | — |
| 414 | C2×C4×D4 | — | 18 | 2 | no | — |
| 415 | C2×C4×D4 | — | 18 | 2 | no | — |
| 416 | #453 | — | 9 | 1 | no | — |
| 417 | #453 | — | 9 | 2 | no | — |
| 418 | #453 | — | 9 | 1 | no | — |
| 419 | #453 | — | 9 | 2 | no | — |
| 420 | #453 | — | 9 | 1 | no | — |
| 421 | #453 | #157 | 1 | 1 | yes | characteristic, direct product factor |
| 422 | #442 | — | 18 | 2 | no | — |
| 423 | #440 | — | 18 | 2 | no | — |
| 424 | C4×SD16 | — | 18 | 2 | no | — |
| 425 | C4×D8 | — | 18 | 2 | no | — |
| 426 | #428 | — | 9 | 2 | no | — |
| 427 | C2×#104 | — | 9 | 2 | no | — |
| 428 | C2×#104 | — | 9 | 2 | no | — |
| 429 | #418 | — | 9 | 2 | no | — |
| 430 | #417 | — | 9 | 2 | no | — |
| 431 | C2×#100 | — | 9 | 1 | no | — |
| 432 | C2×#100 | — | 9 | 1 | no | — |
| 433 | C4×M16 | — | 9 | 2 | no | — |
| 434 | #390 | — | 9 | 1 | no | — |
| 435 | #390 | — | 9 | 1 | no | — |
| 436 | #390 | — | 18 | 2 | no | — |
| 437 | #384 | — | 9 | 1 | no | — |
| 438 | C43 | — | 9 | 1 | no | — |
| 439 | #343 | — | 9 | 2 | no | — |
| 440 | #339 | — | 9 | 2 | no | — |
| 441 | #339 | — | 9 | 2 | no | — |
| 442 | C23×D3 | — | 6 | 4 | no | — |
| 443 | C23×D3 | — | 12 | 2 | no | — |
| 444 | C23×D3 | — | 12 | 4 | no | — |
| 445 | C3×#41 | — | 2 | 4 | no | — |
| 446 | C3×#41 | — | 4 | 4 | no | — |
| 447 | C2×C3×D4 | — | 2 | 2 | no | — |
| 448 | C2×C3×D4 | — | 2 | 2 | no | — |
| 449 | C2×C3×D4 | — | 4 | 4 | no | — |
| 450 | C2×C3×D4 | — | 4 | 4 | no | — |
| 451 | C2×C3×D4 | — | 4 | 4 | no | — |
| 452 | C2×#67 | — | 6 | 4 | no | — |
| 453 | C2×#67 | — | 12 | 2 | no | — |
| 454 | C2×#67 | — | 12 | 4 | no | — |
| 455 | C2×#67 | — | 12 | 8 | no | — |
| 456 | C2×#67 | — | 12 | 4 | no | — |
| 457 | C2×#67 | — | 12 | 4 | no | — |
| 458 | C2×#67 | — | 12 | 4 | no | — |
| 459 | #239 | — | 6 | 4 | no | — |
| 460 | #239 | — | 12 | 4 | no | — |
| 461 | D3×Q8 | — | 6 | 4 | no | — |
| 462 | #237 | — | 6 | 4 | no | — |
| 463 | #237 | — | 12 | 4 | no | — |
| 464 | #237 | — | 12 | 4 | no | — |
| 465 | #237 | — | 12 | 8 | no | — |
| 466 | D3×D4 | — | 6 | 4 | no | — |
| 467 | D3×D4 | — | 12 | 4 | no | — |
| 468 | D3×D4 | — | 12 | 4 | no | — |
| 469 | D3×D4 | — | 12 | 4 | no | — |
| 470 | D3×D4 | — | 12 | 4 | no | — |
| 471 | D3×D4 | — | 12 | 4 | no | — |
| 472 | D3×D4 | — | 12 | 4 | no | — |
| 473 | D3×D4 | — | 12 | 4 | no | — |
| 474 | D3×D4 | — | 12 | 8 | no | — |
| 475 | D3×D4 | — | 12 | 8 | no | — |
| 476 | D3×D4 | — | 12 | 8 | no | — |
| 477 | D3×D4 | — | 12 | 8 | no | — |
| 478 | D3×D4 | — | 24 | 8 | no | — |
| 479 | D3×D4 | — | 24 | 8 | no | — |
| 480 | #235 | — | 6 | 4 | no | — |
| 481 | #235 | — | 12 | 4 | no | — |
| 482 | #235 | — | 12 | 4 | no | — |
| 483 | #235 | — | 12 | 8 | no | — |
| 484 | C2×D12 | — | 6 | 2 | no | — |
| 485 | C2×D12 | — | 6 | 2 | no | — |
| 486 | C2×D12 | — | 12 | 4 | no | — |
| 487 | C2×D12 | — | 12 | 4 | no | — |
| 488 | C2×D12 | — | 12 | 4 | no | — |
| 489 | C2×C4×D3 | — | 6 | 2 | no | — |
| 490 | C2×C4×D3 | — | 12 | 4 | no | — |
| 491 | C2×C4×D3 | — | 12 | 2 | no | — |
| 492 | C2×C4×D3 | — | 12 | 4 | no | — |
| 493 | C3×SD16 | — | 4 | 4 | no | — |
| 494 | C3×D8 | — | 4 | 4 | no | — |
| 495 | C3×M16 | — | 2 | 4 | no | — |
| 496 | C3×C42 | — | 2 | 2 | no | — |
| 497 | #215 | — | 12 | 4 | no | — |
| 498 | #214 | — | 12 | 4 | no | — |
| 499 | #213 | — | 12 | 4 | no | — |
| 500 | #213 | — | 12 | 4 | no | — |
| 501 | C4×Dic3 | — | 6 | 2 | no | — |
| 502 | C4×Dic3 | — | 12 | 2 | no | — |
| 503 | #208 | — | 6 | 4 | no | — |
| 504 | D24 | — | 12 | 4 | no | — |
| 505 | #204 | — | 12 | 4 | no | — |
| 506 | ΓL(1,𝔽25) | — | 12 | 4 | no | — |
| 507 | D3×C8 | — | 12 | 4 | no | — |
| 508 | C22×C32 | — | 2 | 2 | no | — |
| 509 | C22×C32 | — | 2 | 2 | no | — |
| 510 | C22×C32 | — | 4 | 2 | no | — |
| 511 | C22×C32 | — | 4 | 2 | no | — |
| 512 | C22×C32 | — | 4 | 1 | no | — |
| 513 | C22×C32 | — | 8 | 2 | no | — |
| 514 | C22×C32 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 515 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 516 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 517 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 518 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 519 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 520 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 521 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 522 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 523 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 524 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 525 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 526 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 527 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 528 | C2×C3⋊D3 | — | 8 | 4 | no | — |
| 529 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 530 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 531 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 532 | C2×C3⋊D3 | C2×#120 | 1 | 1 | yes | characteristic |
| 533 | C2×C3⋊D3 | #525 | 1 | 1 | yes | characteristic |
| 534 | #157 | — | 2 | 1 | no | — |
| 535 | #157 | — | 2 | 2 | no | — |
| 536 | #157 | — | 4 | 2 | no | — |
| 537 | #157 | — | 4 | 2 | no | — |
| 538 | #157 | — | 4 | 2 | no | — |
| 539 | #157 | — | 4 | 2 | no | — |
| 540 | #157 | — | 8 | 1 | no | — |
| 541 | #157 | #453 | 1 | 2 | yes | direct product factor |
| 542 | C32×C4 | — | 2 | 2 | no | — |
| 543 | C32×C4 | — | 2 | 2 | no | — |
| 544 | C32×C4 | C2×C4×D4 | 1 | 2 | yes | — |
| 545 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 546 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 547 | C3⋊Dic3 | #525 | 1 | 2 | yes | — |
| 548 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 549 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 550 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 551 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 552 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 553 | H(5,𝔽2) | C2×#157 | 1 | 1 | yes | characteristic, complemented |
| 554 | C2×#41 | — | 9 | 2 | no | — |
| 555 | C2×#41 | — | 18 | 2 | no | — |
| 556 | C22×D4 | — | 9 | 1 | no | — |
| 557 | C22×D4 | — | 9 | 1 | no | — |
| 558 | C22×D4 | — | 18 | 2 | no | — |
| 559 | C22×D4 | — | 18 | 2 | no | — |
| 560 | C22×D4 | — | 18 | 2 | no | — |
| 561 | C23×C4 | — | 9 | 2 | no | — |
| 562 | C23×C4 | — | 18 | 1 | no | — |
| 563 | C23×C4 | — | 18 | 2 | no | — |
| 564 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 565 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 566 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 567 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 568 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 569 | AGL(1,ℤ/8) | C2×#157 | 1 | 2 | yes | complemented |
| 570 | C2×SD16 | — | 18 | 2 | no | — |
| 571 | C2×D8 | — | 18 | 2 | no | — |
| 572 | C2×M16 | — | 9 | 2 | no | — |
| 573 | C2×M16 | — | 9 | 2 | no | — |
| 574 | #127 | — | 9 | 1 | no | — |
| 575 | #127 | — | 9 | 1 | no | — |
| 576 | #127 | — | 9 | 1 | no | — |
| 577 | #127 | — | 18 | 2 | no | — |
| 578 | #127 | C2×#157 | 1 | 1 | yes | characteristic, complemented |
| 579 | C4×Q8 | — | 9 | 2 | no | — |
| 580 | C4×Q8 | — | 9 | 2 | no | — |
| 581 | C4×Q8 | — | 18 | 2 | no | — |
| 582 | C4×D4 | — | 9 | 2 | no | — |
| 583 | C4×D4 | — | 9 | 2 | no | — |
| 584 | C4×D4 | — | 18 | 2 | no | — |
| 585 | C4×D4 | — | 18 | 2 | no | — |
| 586 | C4×D4 | — | 18 | 2 | no | — |
| 587 | C4×D4 | — | 18 | 2 | no | — |
| 588 | C4×D4 | — | 18 | 2 | no | — |
| 589 | C4×D4 | — | 18 | 2 | no | — |
| 590 | C4×D4 | — | 18 | 2 | no | — |
| 591 | C4×D4 | — | 18 | 4 | no | — |
| 592 | C4×D4 | — | 18 | 2 | no | — |
| 593 | C4×D4 | — | 18 | 2 | no | — |
| 594 | C4×D4 | — | 18 | 4 | no | — |
| 595 | C4×D4 | — | 18 | 4 | no | — |
| 596 | C4×D4 | — | 18 | 4 | no | — |
| 597 | C4×D4 | — | 18 | 4 | no | — |
| 598 | C4×D4 | — | 36 | 8 | no | — |
| 599 | #117 | — | 9 | 2 | no | — |
| 600 | #117 | — | 18 | 2 | no | — |
| 601 | #117 | — | 18 | 2 | no | — |
| 602 | #117 | — | 18 | 4 | no | — |
| 603 | C2×C4⋊C4 | — | 9 | 1 | no | — |
| 604 | C2×C4⋊C4 | — | 9 | 1 | no | — |
| 605 | C2×C4⋊C4 | — | 18 | 2 | no | — |
| 606 | C2×C4⋊C4 | — | 18 | 2 | no | — |
| 607 | C2×C4⋊C4 | — | 18 | 2 | no | — |
| 608 | C2×C22⋊C4 | — | 9 | 2 | no | — |
| 609 | C2×C22⋊C4 | — | 18 | 2 | no | — |
| 610 | C2×C22⋊C4 | — | 18 | 4 | no | — |
| 611 | C2×C22⋊C4 | — | 18 | 2 | no | — |
| 612 | C2×C22⋊C4 | — | 18 | 1 | no | — |
| 613 | C2×C22⋊C4 | — | 18 | 2 | no | — |
| 614 | C2×C22⋊C4 | — | 18 | 2 | no | — |
| 615 | C2×C42 | — | 9 | 1 | no | — |
| 616 | C2×C42 | — | 9 | 1 | no | — |
| 617 | C2×C42 | — | 9 | 1 | no | — |
| 618 | C2×C42 | — | 18 | 2 | no | — |
| 619 | C2×C42 | — | 18 | 1 | no | — |
| 620 | C2×C42 | — | 18 | 2 | no | — |
| 621 | C2×C42 | — | 18 | 1 | no | — |
| 622 | #107 | — | 18 | 2 | no | — |
| 623 | #106 | — | 18 | 2 | no | — |
| 624 | #104 | — | 9 | 2 | no | — |
| 625 | #104 | — | 9 | 2 | no | — |
| 626 | #104 | — | 9 | 2 | no | — |
| 627 | #104 | — | 18 | 2 | no | — |
| 628 | #104 | — | 18 | 2 | no | — |
| 629 | #104 | C2×#157 | 1 | 2 | yes | complemented |
| 630 | #103 | — | 18 | 2 | no | — |
| 631 | #102 | — | 18 | 2 | no | — |
| 632 | #102 | — | 18 | 2 | no | — |
| 633 | #102 | — | 18 | 2 | no | — |
| 634 | #100 | — | 9 | 1 | no | — |
| 635 | #100 | — | 9 | 2 | no | — |
| 636 | #100 | — | 18 | 2 | no | — |
| 637 | #100 | C2×#157 | 1 | 1 | yes | characteristic, complemented |
| 638 | #97 | — | 18 | 2 | no | — |
| 639 | C4×C8 | — | 18 | 2 | no | — |
| 640 | C23×C3 | — | 2 | 4 | no | — |
| 641 | C23×C3 | — | 4 | 2 | no | — |
| 642 | C23×C3 | — | 4 | 4 | no | — |
| 643 | C22×D3 | — | 6 | 2 | no | — |
| 644 | C22×D3 | — | 6 | 4 | no | — |
| 645 | C22×D3 | — | 12 | 4 | no | — |
| 646 | C22×D3 | — | 12 | 4 | no | — |
| 647 | C22×D3 | — | 12 | 4 | no | — |
| 648 | C22×D3 | — | 12 | 4 | no | — |
| 649 | C22×D3 | — | 12 | 8 | no | — |
| 650 | C22×D3 | — | 12 | 2 | no | — |
| 651 | C22×D3 | — | 24 | 2 | no | — |
| 652 | C22×D3 | — | 24 | 2 | no | — |
| 653 | C22×D3 | — | 24 | 4 | no | — |
| 654 | C22×D3 | — | 24 | 4 | no | — |
| 655 | C22×D3 | — | 24 | 4 | no | — |
| 656 | C22×D3 | — | 24 | 4 | no | — |
| 657 | C22×D3 | — | 48 | 4 | no | — |
| 658 | C22×D3 | — | 48 | 4 | no | — |
| 659 | C3×Q8 | — | 2 | 4 | no | — |
| 660 | C3×D4 | — | 2 | 4 | no | — |
| 661 | C3×D4 | — | 4 | 4 | no | — |
| 662 | C3×D4 | — | 4 | 4 | no | — |
| 663 | C3×D4 | — | 4 | 4 | no | — |
| 664 | C3×D4 | — | 4 | 8 | no | — |
| 665 | C3×D4 | — | 8 | 8 | no | — |
| 666 | C2×C3×C4 | — | 2 | 2 | no | — |
| 667 | C2×C3×C4 | — | 4 | 4 | no | — |
| 668 | C2×C3×C4 | — | 4 | 2 | no | — |
| 669 | C2×C3×C4 | — | 4 | 4 | no | — |
| 670 | #67 | — | 12 | 4 | no | — |
| 671 | #67 | — | 12 | 8 | no | — |
| 672 | #67 | — | 12 | 4 | no | — |
| 673 | #67 | — | 12 | 4 | no | — |
| 674 | #67 | — | 12 | 8 | no | — |
| 675 | #67 | — | 12 | 8 | no | — |
| 676 | #67 | — | 24 | 4 | no | — |
| 677 | #67 | — | 24 | 8 | no | — |
| 678 | #67 | — | 24 | 8 | no | — |
| 679 | C2×Dic3 | — | 6 | 2 | no | — |
| 680 | C2×Dic3 | — | 12 | 4 | no | — |
| 681 | C2×Dic3 | — | 12 | 2 | no | — |
| 682 | C2×Dic3 | — | 12 | 4 | no | — |
| 683 | D12 | — | 6 | 4 | no | — |
| 684 | D12 | — | 12 | 4 | no | — |
| 685 | D12 | — | 12 | 4 | no | — |
| 686 | D12 | — | 12 | 4 | no | — |
| 687 | D12 | — | 12 | 8 | no | — |
| 688 | D12 | — | 24 | 8 | no | — |
| 689 | C4×D3 | — | 6 | 4 | no | — |
| 690 | C4×D3 | — | 6 | 4 | no | — |
| 691 | C4×D3 | — | 12 | 4 | no | — |
| 692 | C4×D3 | — | 12 | 4 | no | — |
| 693 | C4×D3 | — | 12 | 4 | no | — |
| 694 | C4×D3 | — | 12 | 8 | no | — |
| 695 | C4×D3 | — | 12 | 4 | no | — |
| 696 | C4×D3 | — | 12 | 4 | no | — |
| 697 | Dic6 | — | 6 | 4 | no | — |
| 698 | Dic6 | — | 12 | 4 | no | — |
| 699 | C3×C8 | — | 4 | 4 | no | — |
| 700 | C3⋊C8 | — | 12 | 4 | no | — |
| 701 | C2×C32 | — | 2 | 1 | no | — |
| 702 | C2×C32 | — | 4 | 2 | no | — |
| 703 | C2×C32 | — | 4 | 2 | no | — |
| 704 | C2×C32 | — | 8 | 1 | no | — |
| 705 | C2×C32 | C4×#120 | 1 | 1 | yes | characteristic |
| 706 | C3⋊D3 | — | 2 | 1 | no | — |
| 707 | C3⋊D3 | — | 4 | 2 | no | — |
| 708 | C3⋊D3 | — | 4 | 2 | no | — |
| 709 | C3⋊D3 | — | 8 | 1 | no | — |
| 710 | C3⋊D3 | C2×#453 | 1 | 1 | yes | characteristic |
| 711 | C3⋊D3 | #3018 | 1 | 1 | yes | characteristic |
| 712 | C24 | — | 9 | 2 | no | — |
| 713 | C24 | — | 18 | 1 | no | — |
| 714 | C24 | — | 18 | 2 | no | — |
| 715 | #41 | — | 2 | 2 | no | — |
| 716 | #41 | — | 9 | 2 | no | — |
| 717 | #41 | — | 9 | 2 | no | — |
| 718 | #41 | — | 9 | 2 | no | — |
| 719 | #41 | — | 18 | 2 | no | — |
| 720 | #41 | — | 18 | 2 | no | — |
| 721 | #41 | — | 18 | 4 | no | — |
| 722 | #41 | — | 18 | 2 | no | — |
| 723 | #41 | — | 18 | 2 | no | — |
| 724 | #41 | — | 18 | 4 | no | — |
| 725 | #41 | — | 18 | 2 | no | — |
| 726 | #41 | C22×#157 | 1 | 2 | yes | — |
| 727 | C2×Q8 | — | 9 | 2 | no | — |
| 728 | C2×D4 | — | 2 | 2 | no | — |
| 729 | C2×D4 | — | 2 | 2 | no | — |
| 730 | C2×D4 | — | 2 | 2 | no | — |
| 731 | C2×D4 | — | 9 | 2 | no | — |
| 732 | C2×D4 | — | 9 | 2 | no | — |
| 733 | C2×D4 | — | 9 | 1 | no | — |
| 734 | C2×D4 | — | 9 | 1 | no | — |
| 735 | C2×D4 | — | 18 | 2 | no | — |
| 736 | C2×D4 | — | 18 | 2 | no | — |
| 737 | C2×D4 | — | 18 | 2 | no | — |
| 738 | C2×D4 | — | 18 | 2 | no | — |
| 739 | C2×D4 | — | 18 | 2 | no | — |
| 740 | C2×D4 | — | 18 | 2 | no | — |
| 741 | C2×D4 | — | 18 | 2 | no | — |
| 742 | C2×D4 | — | 18 | 1 | no | — |
| 743 | C2×D4 | — | 18 | 2 | no | — |
| 744 | C2×D4 | — | 18 | 2 | no | — |
| 745 | C2×D4 | — | 18 | 4 | no | — |
| 746 | C2×D4 | — | 18 | 4 | no | — |
| 747 | C2×D4 | — | 18 | 4 | no | — |
| 748 | C2×D4 | — | 18 | 4 | no | — |
| 749 | C2×D4 | — | 18 | 4 | no | — |
| 750 | C2×D4 | — | 18 | 2 | no | — |
| 751 | C2×D4 | — | 18 | 2 | no | — |
| 752 | C2×D4 | — | 18 | 2 | no | — |
| 753 | C2×D4 | — | 18 | 2 | no | — |
| 754 | C2×D4 | — | 18 | 2 | no | — |
| 755 | C2×D4 | — | 36 | 4 | no | — |
| 756 | C2×D4 | — | 36 | 4 | no | — |
| 757 | C2×D4 | C22×#157 | 1 | 1 | yes | characteristic |
| 758 | C2×D4 | C22×#157 | 1 | 1 | yes | characteristic, complemented |
| 759 | C22×C4 | — | 9 | 1 | no | — |
| 760 | C22×C4 | — | 9 | 1 | no | — |
| 761 | C22×C4 | — | 9 | 1 | no | — |
| 762 | C22×C4 | — | 9 | 2 | no | — |
| 763 | C22×C4 | — | 18 | 2 | no | — |
| 764 | C22×C4 | — | 18 | 1 | no | — |
| 765 | C22×C4 | — | 18 | 2 | no | — |
| 766 | C22×C4 | — | 18 | 2 | no | — |
| 767 | C22×C4 | — | 18 | 2 | no | — |
| 768 | C22×C4 | — | 18 | 2 | no | — |
| 769 | C22×C4 | — | 18 | 2 | no | — |
| 770 | C22×C4 | — | 18 | 1 | no | — |
| 771 | C22×C4 | — | 18 | 2 | no | — |
| 772 | C22×C4 | — | 18 | 2 | no | — |
| 773 | C22×C4 | — | 18 | 4 | no | — |
| 774 | C22×C4 | — | 18 | 1 | no | — |
| 775 | C22×C4 | — | 36 | 1 | no | — |
| 776 | C22×C4 | — | 36 | 1 | no | — |
| 777 | C22×C4 | — | 36 | 4 | no | — |
| 778 | C22×C4 | — | 36 | 4 | no | — |
| 779 | C22×C4 | — | 72 | 4 | no | — |
| 780 | SD16 | — | 2 | 2 | no | — |
| 781 | SD16 | — | 18 | 2 | no | — |
| 782 | SD16 | — | 18 | 2 | no | — |
| 783 | SD16 | — | 18 | 2 | no | — |
| 784 | D8 | — | 2 | 2 | no | — |
| 785 | D8 | — | 18 | 2 | no | — |
| 786 | D8 | — | 18 | 2 | no | — |
| 787 | D8 | — | 18 | 2 | no | — |
| 788 | M16 | — | 9 | 2 | no | — |
| 789 | M16 | — | 18 | 2 | no | — |
| 790 | M16 | — | 18 | 2 | no | — |
| 791 | M16 | — | 18 | 2 | no | — |
| 792 | M16 | C22×#157 | 1 | 2 | yes | complemented |
| 793 | C2×C8 | — | 18 | 2 | no | — |
| 794 | C2×C8 | — | 18 | 2 | no | — |
| 795 | C4⋊C4 | — | 9 | 2 | no | — |
| 796 | C4⋊C4 | — | 9 | 2 | no | — |
| 797 | C4⋊C4 | — | 18 | 2 | no | — |
| 798 | C4⋊C4 | — | 18 | 2 | no | — |
| 799 | C4⋊C4 | — | 18 | 2 | no | — |
| 800 | C4⋊C4 | — | 18 | 2 | no | — |
| 801 | C4⋊C4 | — | 18 | 4 | no | — |
| 802 | C4⋊C4 | — | 36 | 4 | no | — |
| 803 | C22⋊C4 | — | 18 | 4 | no | — |
| 804 | C22⋊C4 | — | 18 | 2 | no | — |
| 805 | C22⋊C4 | — | 18 | 2 | no | — |
| 806 | C22⋊C4 | — | 18 | 2 | no | — |
| 807 | C22⋊C4 | — | 18 | 4 | no | — |
| 808 | C22⋊C4 | — | 18 | 4 | no | — |
| 809 | C22⋊C4 | — | 36 | 2 | no | — |
| 810 | C22⋊C4 | — | 36 | 4 | no | — |
| 811 | C22⋊C4 | — | 36 | 4 | no | — |
| 812 | C42 | — | 9 | 2 | no | — |
| 813 | C42 | — | 9 | 2 | no | — |
| 814 | C42 | — | 9 | 1 | no | — |
| 815 | C42 | — | 18 | 1 | no | — |
| 816 | C42 | — | 18 | 2 | no | — |
| 817 | C42 | — | 18 | 2 | no | — |
| 818 | C42 | — | 18 | 2 | no | — |
| 819 | C42 | — | 18 | 2 | no | — |
| 820 | C42 | — | 18 | 4 | no | — |
| 821 | C42 | — | 18 | 4 | no | — |
| 822 | C42 | — | 36 | 2 | no | — |
| 823 | C42 | C22×#157 | 1 | 1 | yes | characteristic, complemented |
| 824 | C22×C3 | — | 2 | 2 | no | — |
| 825 | C22×C3 | — | 4 | 4 | no | — |
| 826 | C22×C3 | — | 4 | 4 | no | — |
| 827 | C22×C3 | — | 8 | 2 | no | — |
| 828 | C22×C3 | — | 8 | 4 | no | — |
| 829 | C22×C3 | — | 8 | 4 | no | — |
| 830 | C22×C3 | — | 16 | 4 | no | — |
| 831 | C2×D3 | — | 6 | 2 | no | — |
| 832 | C2×D3 | — | 6 | 2 | no | — |
| 833 | C2×D3 | — | 12 | 2 | no | — |
| 834 | C2×D3 | — | 12 | 2 | no | — |
| 835 | C2×D3 | — | 12 | 4 | no | — |
| 836 | C2×D3 | — | 12 | 4 | no | — |
| 837 | C2×D3 | — | 24 | 4 | no | — |
| 838 | C2×D3 | — | 24 | 4 | no | — |
| 839 | C2×D3 | — | 24 | 4 | no | — |
| 840 | C2×D3 | — | 24 | 4 | no | — |
| 841 | C2×D3 | — | 24 | 4 | no | — |
| 842 | C2×D3 | — | 24 | 2 | no | — |
| 843 | C2×D3 | — | 24 | 4 | no | — |
| 844 | C2×D3 | — | 48 | 2 | no | — |
| 845 | C2×D3 | — | 48 | 2 | no | — |
| 846 | C2×D3 | — | 48 | 4 | no | — |
| 847 | C2×D3 | — | 48 | 4 | no | — |
| 848 | C2×D3 | — | 48 | 8 | no | — |
| 849 | C2×D3 | — | 48 | 4 | no | — |
| 850 | C3×C4 | — | 2 | 4 | no | — |
| 851 | C3×C4 | — | 4 | 4 | no | — |
| 852 | C3×C4 | — | 4 | 4 | no | — |
| 853 | Dic3 | — | 6 | 4 | no | — |
| 854 | Dic3 | — | 12 | 4 | no | — |
| 855 | Dic3 | — | 12 | 4 | no | — |
| 856 | C32 | C4×#453 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 857 | C23 | — | 2 | 2 | no | — |
| 858 | C23 | — | 2 | 1 | no | — |
| 859 | C23 | — | 9 | 1 | no | — |
| 860 | C23 | — | 9 | 2 | no | — |
| 861 | C23 | — | 18 | 2 | no | — |
| 862 | C23 | — | 18 | 2 | no | — |
| 863 | C23 | — | 18 | 2 | no | — |
| 864 | C23 | — | 18 | 2 | no | — |
| 865 | C23 | — | 18 | 4 | no | — |
| 866 | C23 | — | 18 | 1 | no | — |
| 867 | C23 | — | 36 | 1 | no | — |
| 868 | C23 | — | 36 | 1 | no | — |
| 869 | C23 | — | 36 | 2 | no | — |
| 870 | C23 | — | 36 | 2 | no | — |
| 871 | C23 | — | 36 | 2 | no | — |
| 872 | C23 | — | 36 | 2 | no | — |
| 873 | C23 | — | 72 | 2 | no | — |
| 874 | C23 | — | 72 | 2 | no | — |
| 875 | C23 | D4×#157 | 1 | 2 | yes | — |
| 876 | Q8 | — | 9 | 2 | no | — |
| 877 | Q8 | — | 18 | 2 | no | — |
| 878 | Q8 | D4×#157 | 1 | 2 | yes | complemented |
| 879 | D4 | — | 2 | 4 | no | — |
| 880 | D4 | — | 2 | 2 | no | — |
| 881 | D4 | — | 2 | 2 | no | — |
| 882 | D4 | — | 2 | 2 | no | — |
| 883 | D4 | — | 4 | 4 | no | — |
| 884 | D4 | — | 9 | 2 | no | — |
| 885 | D4 | — | 18 | 2 | no | — |
| 886 | D4 | — | 18 | 4 | no | — |
| 887 | D4 | — | 18 | 4 | no | — |
| 888 | D4 | — | 18 | 2 | no | — |
| 889 | D4 | — | 18 | 2 | no | — |
| 890 | D4 | — | 18 | 4 | no | — |
| 891 | D4 | — | 18 | 4 | no | — |
| 892 | D4 | — | 18 | 2 | no | — |
| 893 | D4 | — | 18 | 2 | no | — |
| 894 | D4 | — | 18 | 2 | no | — |
| 895 | D4 | — | 36 | 4 | no | — |
| 896 | D4 | — | 36 | 2 | no | — |
| 897 | D4 | — | 36 | 4 | no | — |
| 898 | D4 | — | 36 | 4 | no | — |
| 899 | D4 | D4×#157 | 1 | 2 | yes | complemented |
| 900 | C2×C4 | — | 2 | 2 | no | — |
| 901 | C2×C4 | — | 2 | 1 | no | — |
| 902 | C2×C4 | — | 2 | 2 | no | — |
| 903 | C2×C4 | — | 9 | 1 | no | — |
| 904 | C2×C4 | — | 9 | 1 | no | — |
| 905 | C2×C4 | — | 9 | 2 | no | — |
| 906 | C2×C4 | — | 9 | 2 | no | — |
| 907 | C2×C4 | — | 9 | 2 | no | — |
| 908 | C2×C4 | — | 9 | 1 | no | — |
| 909 | C2×C4 | — | 18 | 2 | no | — |
| 910 | C2×C4 | — | 18 | 2 | no | — |
| 911 | C2×C4 | — | 18 | 2 | no | — |
| 912 | C2×C4 | — | 18 | 2 | no | — |
| 913 | C2×C4 | — | 18 | 4 | no | — |
| 914 | C2×C4 | — | 18 | 2 | no | — |
| 915 | C2×C4 | — | 18 | 2 | no | — |
| 916 | C2×C4 | — | 18 | 2 | no | — |
| 917 | C2×C4 | — | 18 | 1 | no | — |
| 918 | C2×C4 | — | 18 | 2 | no | — |
| 919 | C2×C4 | — | 18 | 2 | no | — |
| 920 | C2×C4 | — | 18 | 2 | no | — |
| 921 | C2×C4 | — | 18 | 2 | no | — |
| 922 | C2×C4 | — | 18 | 2 | no | — |
| 923 | C2×C4 | — | 36 | 4 | no | — |
| 924 | C2×C4 | — | 36 | 4 | no | — |
| 925 | C2×C4 | — | 36 | 1 | no | — |
| 926 | C2×C4 | — | 36 | 1 | no | — |
| 927 | C2×C4 | — | 36 | 1 | no | — |
| 928 | C2×C4 | — | 36 | 2 | no | — |
| 929 | C2×C4 | — | 36 | 1 | no | — |
| 930 | C2×C4 | — | 36 | 2 | no | — |
| 931 | C2×C4 | — | 72 | 2 | no | — |
| 932 | C2×C4 | — | 72 | 2 | no | — |
| 933 | C2×C4 | — | 72 | 2 | no | — |
| 934 | C2×C4 | — | 72 | 2 | no | — |
| 935 | C2×C4 | — | 72 | 4 | no | — |
| 936 | C2×C4 | — | 72 | 2 | no | — |
| 937 | C2×C4 | — | 72 | 2 | no | — |
| 938 | C2×C4 | C23×#157 | 1 | 1 | yes | characteristic |
| 939 | C8 | — | 2 | 2 | no | — |
| 940 | C8 | — | 18 | 2 | no | — |
| 941 | C8 | — | 36 | 2 | no | — |
| 942 | C2×C3 | — | 2 | 2 | no | — |
| 943 | C2×C3 | — | 4 | 2 | no | — |
| 944 | C2×C3 | — | 8 | 4 | no | — |
| 945 | C2×C3 | — | 8 | 4 | no | — |
| 946 | C2×C3 | — | 16 | 2 | no | — |
| 947 | D3 | — | 6 | 2 | no | — |
| 948 | D3 | — | 6 | 2 | no | — |
| 949 | D3 | — | 12 | 2 | no | — |
| 950 | D3 | — | 24 | 4 | no | — |
| 951 | D3 | — | 24 | 4 | no | — |
| 952 | D3 | — | 48 | 2 | no | — |
| 953 | C22 | — | 2 | 2 | no | — |
| 954 | C22 | — | 2 | 2 | no | — |
| 955 | C22 | — | 4 | 2 | no | — |
| 956 | C22 | — | 4 | 2 | no | — |
| 957 | C22 | — | 4 | 1 | no | — |
| 958 | C22 | — | 8 | 2 | no | — |
| 959 | C22 | — | 9 | 1 | no | — |
| 960 | C22 | — | 9 | 1 | no | — |
| 961 | C22 | — | 18 | 1 | no | — |
| 962 | C22 | — | 18 | 1 | no | — |
| 963 | C22 | — | 18 | 2 | no | — |
| 964 | C22 | — | 18 | 2 | no | — |
| 965 | C22 | — | 36 | 2 | no | — |
| 966 | C22 | — | 36 | 2 | no | — |
| 967 | C22 | — | 36 | 2 | no | — |
| 968 | C22 | — | 36 | 2 | no | — |
| 969 | C22 | — | 36 | 2 | no | — |
| 970 | C22 | — | 36 | 2 | no | — |
| 971 | C22 | — | 36 | 1 | no | — |
| 972 | C22 | — | 72 | 2 | no | — |
| 973 | C22 | — | 72 | 2 | no | — |
| 974 | C22 | — | 72 | 4 | no | — |
| 975 | C22 | — | 72 | 1 | no | — |
| 976 | C22 | — | 72 | 1 | no | — |
| 977 | C22 | — | 72 | 2 | no | — |
| 978 | C22 | C2×D4×#157 | 1 | 1 | yes | characteristic |
| 979 | C4 | — | 2 | 2 | no | — |
| 980 | C4 | — | 2 | 2 | no | — |
| 981 | C4 | — | 9 | 2 | no | — |
| 982 | C4 | — | 9 | 2 | no | — |
| 983 | C4 | — | 18 | 2 | no | — |
| 984 | C4 | — | 18 | 1 | no | — |
| 985 | C4 | — | 18 | 2 | no | — |
| 986 | C4 | — | 18 | 2 | no | — |
| 987 | C4 | — | 36 | 2 | no | — |
| 988 | C4 | — | 36 | 2 | no | — |
| 989 | C4 | — | 36 | 2 | no | — |
| 990 | C4 | — | 36 | 2 | no | — |
| 991 | C4 | — | 72 | 1 | no | — |
| 992 | C4 | C2×D4×#157 | 1 | 2 | yes | — |
| 993 | C3 | — | 2 | 2 | no | — |
| 994 | C2 | — | 2 | 1 | no | — |
| 995 | C2 | — | 4 | 2 | no | — |
| 996 | C2 | — | 4 | 2 | no | — |
| 997 | C2 | — | 8 | 1 | no | — |
| 998 | C2 | — | 9 | 1 | no | — |
| 999 | C2 | — | 9 | 1 | no | — |
| 1000 | C2 | — | 18 | 1 | no | — |
| 1001 | C2 | — | 36 | 2 | no | — |
| 1002 | C2 | — | 36 | 2 | no | — |
| 1003 | C2 | — | 72 | 1 | no | — |
| 1004 | C2 | #120×#157 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. H(5,𝔽2)×#157 | C2 | semidirect |
| 3. AGL(1,ℤ/8)×#157 | C2 | semidirect |
| 4. #127×#157 | C2 | semidirect |
| 5. #11787871 | C2 | semidirect |
| 6. #11787729 | C2 | semidirect |
| 7. #11786685 | C2 | semidirect |
| 8. #11786580 | C2 | semidirect |
| 9. #11784864 | C2 | semidirect |
| 10. #104×#157 | C2 | semidirect |
| 11. #100×#157 | C2 | semidirect |
| 24. C2×D4×#157 | C22 | semidirect |
| 31. #10593827 | C22 | semidirect |
| 33. #10593814 | C22 | semidirect |
| 38. #10593774 | C22 | semidirect |
| 39. M16×#157 | C22 | semidirect |
| 40. #10593735 | C22 | semidirect |
| 41. C42×#157 | C22 | semidirect |
| 42. C32×#453 | C4 | semidirect |
| 43. #10592940 | C4 | semidirect |
| 44. #10592897 | C4 | semidirect |
| 45. #10592776 | C4 | semidirect |
| 46. #10592521 | C4 | semidirect |
| 48. #10592446 | C4 | semidirect |
| 50. #10590189 | C22 | semidirect |
| 51. #10590188 | C22 | semidirect |
| 52. #10590151 | C22 | semidirect |
| 57. C32×H(5,𝔽2) | C2×C4 | semidirect |
| 59. #64366 | C2×C4 | semidirect |
| 64. #64361 | C2×C4 | semidirect |
| 78. Q8×#157 | D4 | semidirect |
| 79. Q8×#157 | D4 | semidirect |
| 95. D4×#157 | D4 | semidirect |
| 96. D4×#157 | D4 | semidirect |
| 113. C32×AGL(1,ℤ/8) | C2×C4 | semidirect |
| 114. C32×#127 | C2×C4 | semidirect |
| 115. #64158 | C2×C4 | semidirect |
| 117. #64149 | C2×C4 | semidirect |
| 118. #64149 | C2×C4 | semidirect |
| 119. #64141 | C2×C4 | semidirect |
| 124. #64117 | C2×C4 | semidirect |
| 126. #64083 | C2×C4 | semidirect |
| 139. C32×#104 | C2×C4 | semidirect |
| 140. C32×#100 | C2×C4 | semidirect |
| 141. #63664 | C2×C4 | semidirect |
| 142. #63660 | C2×C4 | semidirect |
| 143. #63652 | C2×C4 | semidirect |
| 144. #63650 | C2×C4 | semidirect |
| 145. #63632 | C2×C4 | semidirect |
| 184. C2×C32×D4 | C22×C4 | semidirect |
| 221. C2×C4⋊(C3⋊D3) | C22×C4 | semidirect |
| 257. C32×M16 | C22×C4 | semidirect |
| 258. C32×C42 | C22×C4 | semidirect |
| 264. C4×C3⋊Dic3 | C22×C4 | semidirect |
| 265. #3748 | C22×C4 | semidirect |
| 358. C32×Q8 | C4×D4 | semidirect |
| 364. C32×D4 | C4×D4 | semidirect |
| 387. C4⋊(C3⋊D3) | C4×D4 | semidirect |
| 397. #634 | C4×D4 | semidirect |
| 421. #453 | #157 | direct (N × H) |
| 541. #157 | #453 | direct (N × H) |
| 553. H(5,𝔽2) | C2×#157 | semidirect |
| 569. AGL(1,ℤ/8) | C2×#157 | semidirect |
| 578. #127 | C2×#157 | semidirect |
| 629. #104 | C2×#157 | semidirect |
| 637. #100 | C2×#157 | semidirect |
| 758. C2×D4 | C22×#157 | semidirect |
| 792. M16 | C22×#157 | semidirect |
| 823. C42 | C22×#157 | semidirect |
| 856. C32 | C4×#453 | semidirect |
| 878. Q8 | D4×#157 | semidirect |
| 899. D4 | D4×#157 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| H(5,𝔽2)×#157 | 2 |
| C3⋊D3×#453 | 2 |
| AGL(1,ℤ/8)×#157 | 2 |
| #127×#157 | 2 |
| #11787871 | 2 |
| #11787729 | 2 |
| #11786685 | 2 |
| #11786580 | 2 |
| #11784864 | 2 |
| #104×#157 | 2 |
| #100×#157 | 2 |
| C4×#453 | 9 |