Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
925 conjugacy classes of subgroups.
The subgroup lattice has 859 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11897603 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11887175 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | D4×AΓL(1,𝔽9) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D8×GO+(4,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #11782687 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11781757 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11781274 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11781049 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11780824 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11779747 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | GO+(4,𝔽2)⋊SD16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11779242 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11779036 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11777459 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11777361 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C22×AΓL(1,𝔽9) | — | 2 | 1 | no | — |
| 17 | #10596545 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | D4×PSU(3,𝔽2) | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | D4×GO+(4,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 20 | D4×GO+(4,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 21 | D4×AGL(1,𝔽9) | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | D4×AGL(1,𝔽9) | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | #10596418 | — | 2 | 1 | no | — |
| 24 | #10596417 | — | 2 | 1 | no | — |
| 25 | #10596417 | — | 2 | 1 | no | — |
| 26 | #10596416 | — | 2 | 1 | no | — |
| 27 | #10596416 | — | 2 | 1 | no | — |
| 28 | #10596412 | — | 2 | 1 | no | — |
| 29 | C2×GO+(4,𝔽2)⋊C4 | — | 2 | 1 | no | — |
| 30 | #10596410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #10596410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #10596409 | C22 | 1 | 1 | yes | characteristic |
| 33 | #10596408 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #10596408 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C4×AΓL(1,𝔽9) | C22 | 1 | 1 | yes | characteristic |
| 36 | GO+(4,𝔽2)⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 37 | #10596402 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #10596402 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | D32×D8 | — | 2 | 1 | no | — |
| 40 | #10593778 | — | 2 | 1 | no | — |
| 41 | D8×#157 | C22 | 1 | 1 | yes | characteristic |
| 42 | #10593559 | — | 2 | 1 | no | — |
| 43 | #10593559 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #10593558 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #10593557 | — | 2 | 1 | no | — |
| 46 | #10593537 | — | 2 | 1 | no | — |
| 47 | #10593535 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #10593532 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #10593464 | C22 | 1 | 1 | yes | characteristic |
| 50 | #10593464 | C22 | 1 | 1 | yes | characteristic |
| 51 | #10593457 | — | 2 | 1 | no | — |
| 52 | #10593457 | — | 2 | 1 | no | — |
| 53 | #10593293 | C22 | 1 | 1 | yes | characteristic |
| 54 | #10593285 | — | 2 | 1 | no | — |
| 55 | C8×GO+(4,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 56 | D4⋊AGL(1,𝔽9) | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | D4⋊AGL(1,𝔽9) | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #10593252 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #10593251 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | AGL(1,𝔽9)⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #10593158 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #10593157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #10593155 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #10593155 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | PSU(3,𝔽2)⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | GO+(4,𝔽2)⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 67 | C22×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 68 | C22×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 69 | C22×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 70 | C22×AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 71 | C22×AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 72 | C2×AΓL(1,𝔽9) | — | 2 | 1 | no | — |
| 73 | C2×AΓL(1,𝔽9) | — | 2 | 1 | no | — |
| 74 | C2×AΓL(1,𝔽9) | — | 2 | 1 | no | — |
| 75 | C2×AΓL(1,𝔽9) | — | 2 | 1 | no | — |
| 76 | C2×AΓL(1,𝔽9) | — | 2 | 1 | no | — |
| 77 | C2×AΓL(1,𝔽9) | — | 4 | 1 | no | — |
| 78 | C2×AΓL(1,𝔽9) | — | 4 | 4 | no | — |
| 79 | C2×AΓL(1,𝔽9) | D4 | 1 | 1 | yes | characteristic |
| 80 | D32×D4 | — | 2 | 1 | no | — |
| 81 | D32×D4 | — | 2 | 1 | no | — |
| 82 | D4×#157 | — | 2 | 1 | no | — |
| 83 | D4×#157 | — | 2 | 1 | no | — |
| 84 | D4×#157 | C23 | 1 | 1 | yes | characteristic |
| 85 | D4×#157 | C23 | 1 | 1 | yes | characteristic |
| 86 | C22⋊PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 87 | C22⋊PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 88 | C22⋊PSU(3,𝔽2) | — | 4 | 1 | no | — |
| 89 | C22⋊PSU(3,𝔽2) | — | 4 | 1 | no | — |
| 90 | C2×#3777 | — | 2 | 1 | no | — |
| 91 | C4⋊PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 92 | C4⋊PSU(3,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 93 | C4⋊PSU(3,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 94 | C4×PSU(3,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 95 | #64243 | — | 2 | 1 | no | — |
| 96 | #64242 | — | 2 | 1 | no | — |
| 97 | #64242 | — | 2 | 1 | no | — |
| 98 | #64241 | — | 4 | 1 | no | — |
| 99 | #64241 | — | 4 | 1 | no | — |
| 100 | #64231 | C23 | 1 | 1 | yes | characteristic |
| 101 | #64231 | C23 | 1 | 1 | yes | characteristic |
| 102 | #64230 | — | 2 | 1 | no | — |
| 103 | #64230 | — | 2 | 1 | no | — |
| 104 | C4×GO+(4,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 105 | #64225 | — | 2 | 1 | no | — |
| 106 | C22⋊AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 107 | C22⋊AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 108 | C4⋊AGL(1,𝔽9) | C23 | 1 | 1 | yes | characteristic |
| 109 | C4⋊AGL(1,𝔽9) | C23 | 1 | 1 | yes | characteristic |
| 110 | C4×AGL(1,𝔽9) | C23 | 1 | 1 | yes | characteristic |
| 111 | C4×AGL(1,𝔽9) | C23 | 1 | 1 | yes | characteristic |
| 112 | AGL(1,𝔽9)⋊C4 | — | 2 | 1 | no | — |
| 113 | AGL(1,𝔽9)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 114 | PSU(3,𝔽2)⋊C4 | — | 2 | 1 | no | — |
| 115 | PSU(3,𝔽2)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 116 | GO+(4,𝔽2)⋊C4 | — | 2 | 1 | no | — |
| 117 | GO+(4,𝔽2)⋊C4 | — | 2 | 1 | no | — |
| 118 | GO+(4,𝔽2)⋊C4 | — | 2 | 1 | no | — |
| 119 | GO+(4,𝔽2)⋊C4 | — | 2 | 1 | no | — |
| 120 | GO+(4,𝔽2)⋊C4 | — | 2 | 1 | no | — |
| 121 | GO+(4,𝔽2)⋊C4 | — | 4 | 1 | no | — |
| 122 | GO+(4,𝔽2)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 123 | D8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 124 | C3×D3×D8 | — | 4 | 1 | no | — |
| 125 | #63926 | — | 2 | 1 | no | — |
| 126 | #63926 | — | 2 | 1 | no | — |
| 127 | D3×#213 | — | 4 | 1 | no | — |
| 128 | D3×#213 | — | 4 | 1 | no | — |
| 129 | #63797 | — | 2 | 1 | no | — |
| 130 | D3×D24 | — | 4 | 1 | no | — |
| 131 | D32×C8 | — | 2 | 1 | no | — |
| 132 | #63782 | — | 2 | 1 | no | — |
| 133 | #63782 | — | 2 | 1 | no | — |
| 134 | #63782 | D4 | 1 | 1 | yes | characteristic |
| 135 | #63782 | D4 | 1 | 1 | yes | characteristic |
| 136 | #63769 | D4 | 1 | 1 | yes | characteristic |
| 137 | #63768 | — | 2 | 1 | no | — |
| 138 | #63767 | — | 2 | 1 | no | — |
| 139 | C8×#157 | C23 | 1 | 1 | yes | characteristic |
| 140 | #63746 | — | 2 | 1 | no | — |
| 141 | #63745 | — | 2 | 1 | no | — |
| 142 | #63745 | — | 2 | 1 | no | — |
| 143 | #63744 | — | 2 | 1 | no | — |
| 144 | #63744 | C23 | 1 | 1 | yes | characteristic |
| 145 | #63732 | C23 | 1 | 1 | yes | characteristic |
| 146 | #63729 | — | 2 | 1 | no | — |
| 147 | #63729 | — | 2 | 1 | no | — |
| 148 | D32⋊C8 | — | 2 | 1 | no | — |
| 149 | #19763 | — | 9 | 1 | no | maximal, Sylow |
| 150 | C2×D3×D8 | — | 12 | 1 | no | — |
| 151 | C22×D32 | — | 4 | 1 | no | — |
| 152 | C22×D32 | — | 4 | 1 | no | — |
| 153 | C22×#157 | — | 2 | 1 | no | — |
| 154 | C22×#157 | — | 2 | 1 | no | — |
| 155 | C22×#157 | — | 4 | 1 | no | — |
| 156 | C22×#157 | — | 4 | 1 | no | — |
| 157 | C2×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 158 | C2×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 159 | C2×PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 160 | C2×PSU(3,𝔽2) | — | 4 | 1 | no | — |
| 161 | C2×PSU(3,𝔽2) | — | 8 | 1 | no | — |
| 162 | C2×PSU(3,𝔽2) | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 164 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 165 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 166 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 167 | C2×GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 168 | C2×GO+(4,𝔽2) | — | 4 | 2 | no | — |
| 169 | C2×GO+(4,𝔽2) | — | 4 | 1 | no | — |
| 170 | C2×GO+(4,𝔽2) | — | 4 | 1 | no | — |
| 171 | C2×GO+(4,𝔽2) | — | 8 | 1 | no | — |
| 172 | C2×GO+(4,𝔽2) | — | 8 | 1 | no | — |
| 173 | C2×GO+(4,𝔽2) | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C2×AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 175 | C2×AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 176 | C2×AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 177 | C2×AGL(1,𝔽9) | — | 4 | 2 | no | — |
| 178 | C2×AGL(1,𝔽9) | — | 8 | 1 | no | — |
| 179 | C2×AGL(1,𝔽9) | C2×D4 | 1 | 1 | yes | characteristic |
| 180 | C2×AGL(1,𝔽9) | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | AΓL(1,𝔽9) | — | 2 | 2 | no | — |
| 182 | AΓL(1,𝔽9) | — | 4 | 2 | no | — |
| 183 | AΓL(1,𝔽9) | — | 4 | 2 | no | — |
| 184 | AΓL(1,𝔽9) | — | 4 | 2 | no | — |
| 185 | AΓL(1,𝔽9) | — | 8 | 1 | no | — |
| 186 | AΓL(1,𝔽9) | — | 8 | 1 | no | — |
| 187 | AΓL(1,𝔽9) | — | 8 | 2 | no | — |
| 188 | D4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | D4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C3×D3×D4 | — | 4 | 1 | no | — |
| 191 | C3×D3×D4 | — | 4 | 1 | no | — |
| 192 | #3811 | — | 4 | 1 | no | — |
| 193 | #3811 | — | 4 | 1 | no | — |
| 194 | D3×#67 | — | 8 | 1 | no | — |
| 195 | D3×#67 | — | 8 | 1 | no | — |
| 196 | #3802 | — | 2 | 1 | no | — |
| 197 | #3802 | — | 2 | 1 | no | — |
| 198 | D3×D12 | — | 4 | 1 | no | — |
| 199 | D3×D12 | — | 4 | 1 | no | — |
| 200 | C4×D32 | — | 2 | 1 | no | — |
| 201 | C22⋊#157 | — | 2 | 1 | no | — |
| 202 | C22⋊#157 | — | 2 | 1 | no | — |
| 203 | C22⋊#157 | — | 4 | 1 | no | — |
| 204 | C22⋊#157 | — | 4 | 1 | no | — |
| 205 | C4⋊#157 | — | 2 | 1 | no | — |
| 206 | C4⋊#157 | — | 2 | 1 | no | — |
| 207 | C4⋊#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | C4⋊#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C4×#157 | — | 2 | 1 | no | — |
| 210 | C4×#157 | C24 | 1 | 1 | yes | characteristic |
| 211 | #3787 | — | 2 | 1 | no | — |
| 212 | #3787 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | #3777 | — | 2 | 1 | no | — |
| 214 | #3777 | — | 2 | 1 | no | — |
| 215 | #3777 | — | 2 | 1 | no | — |
| 216 | #3777 | — | 4 | 1 | no | — |
| 217 | #3777 | — | 4 | 1 | no | — |
| 218 | #3777 | — | 4 | 1 | no | — |
| 219 | #3777 | C2×D4 | 1 | 1 | yes | characteristic |
| 220 | #3774 | — | 8 | 1 | no | — |
| 221 | #3773 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | D32⋊C4 | — | 2 | 1 | no | — |
| 223 | D32⋊C4 | — | 4 | 1 | no | — |
| 224 | D32⋊C4 | — | 4 | 1 | no | — |
| 225 | C32×D8 | SD16 | 1 | 1 | yes | characteristic, complemented |
| 226 | #3753 | SD16 | 1 | 1 | yes | characteristic, complemented |
| 227 | #3753 | SD16 | 1 | 1 | yes | characteristic, complemented |
| 228 | #3745 | SD16 | 1 | 1 | yes | characteristic, complemented |
| 229 | C8×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C3×#213 | — | 4 | 1 | no | — |
| 231 | C3×#213 | — | 4 | 1 | no | — |
| 232 | C3×D24 | — | 4 | 1 | no | — |
| 233 | C3×D3×C8 | — | 4 | 1 | no | — |
| 234 | #3714 | — | 4 | 1 | no | — |
| 235 | #3714 | — | 4 | 1 | no | — |
| 236 | #3713 | — | 4 | 1 | no | — |
| 237 | #3710 | — | 2 | 1 | no | — |
| 238 | D3×C3⋊C8 | — | 4 | 1 | no | — |
| 239 | #3384 | — | 9 | 1 | no | — |
| 240 | #3295 | — | 9 | 1 | no | — |
| 241 | D4×SD16 | — | 9 | 1 | no | — |
| 242 | D4×D8 | — | 9 | 1 | no | — |
| 243 | #1715 | — | 9 | 1 | no | — |
| 244 | #1688 | — | 9 | 1 | no | — |
| 245 | #1677 | — | 9 | 1 | no | — |
| 246 | #1671 | — | 9 | 1 | no | — |
| 247 | #1665 | — | 9 | 1 | no | — |
| 248 | #1639 | — | 9 | 1 | no | — |
| 249 | #1629 | — | 9 | 1 | no | — |
| 250 | #1627 | — | 9 | 1 | no | — |
| 251 | #1622 | — | 9 | 1 | no | — |
| 252 | #1582 | — | 9 | 1 | no | — |
| 253 | #1580 | — | 9 | 1 | no | — |
| 254 | C2×D3×D4 | — | 12 | 1 | no | — |
| 255 | C2×D3×D4 | — | 12 | 1 | no | — |
| 256 | C2×C3×D8 | — | 12 | 1 | no | — |
| 257 | C2×#213 | — | 12 | 1 | no | — |
| 258 | C2×#213 | — | 12 | 1 | no | — |
| 259 | D3×D8 | — | 4 | 1 | no | — |
| 260 | D3×D8 | — | 12 | 1 | no | — |
| 261 | D3×D8 | — | 12 | 1 | no | — |
| 262 | D3×D8 | — | 12 | 1 | no | — |
| 263 | D3×D8 | — | 12 | 1 | no | — |
| 264 | D3×D8 | — | 12 | 1 | no | — |
| 265 | D3×D8 | — | 12 | 1 | no | — |
| 266 | D3×D8 | — | 12 | 1 | no | — |
| 267 | C2×D24 | — | 12 | 1 | no | — |
| 268 | C2×D3×C8 | — | 12 | 1 | no | — |
| 269 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 270 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 271 | C22×C3×D3 | — | 8 | 1 | no | — |
| 272 | C22×C3×D3 | — | 8 | 1 | no | — |
| 273 | C2×D32 | — | 2 | 1 | no | — |
| 274 | C2×D32 | — | 4 | 1 | no | — |
| 275 | C2×D32 | — | 4 | 1 | no | — |
| 276 | C2×D32 | — | 8 | 1 | no | — |
| 277 | C2×D32 | — | 8 | 1 | no | — |
| 278 | C2×D32 | — | 8 | 2 | no | — |
| 279 | C2×D32 | — | 8 | 2 | no | — |
| 280 | C2×D32 | — | 16 | 1 | no | — |
| 281 | C2×D32 | — | 16 | 1 | no | — |
| 282 | C2×#157 | — | 2 | 1 | no | — |
| 283 | C2×#157 | — | 2 | 1 | no | — |
| 284 | C2×#157 | — | 2 | 1 | no | — |
| 285 | C2×#157 | — | 2 | 1 | no | — |
| 286 | C2×#157 | — | 4 | 1 | no | — |
| 287 | C2×#157 | — | 4 | 1 | no | — |
| 288 | C2×#157 | — | 4 | 1 | no | — |
| 289 | C2×#157 | — | 4 | 1 | no | — |
| 290 | C2×#157 | — | 4 | 1 | no | — |
| 291 | C2×#157 | — | 4 | 1 | no | — |
| 292 | C2×#157 | — | 8 | 2 | no | — |
| 293 | C2×#157 | — | 16 | 1 | no | — |
| 294 | C2×#157 | C22×D4 | 1 | 1 | yes | characteristic |
| 295 | C2×#157 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 296 | PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 297 | PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 298 | PSU(3,𝔽2) | — | 4 | 1 | no | — |
| 299 | PSU(3,𝔽2) | — | 4 | 1 | no | — |
| 300 | PSU(3,𝔽2) | — | 8 | 1 | no | — |
| 301 | PSU(3,𝔽2) | — | 8 | 2 | no | — |
| 302 | GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 303 | GO+(4,𝔽2) | — | 4 | 1 | no | — |
| 304 | GO+(4,𝔽2) | — | 4 | 1 | no | — |
| 305 | GO+(4,𝔽2) | — | 4 | 1 | no | — |
| 306 | GO+(4,𝔽2) | — | 4 | 1 | no | — |
| 307 | GO+(4,𝔽2) | — | 8 | 1 | no | — |
| 308 | GO+(4,𝔽2) | — | 8 | 1 | no | — |
| 309 | GO+(4,𝔽2) | — | 8 | 2 | no | — |
| 310 | GO+(4,𝔽2) | — | 8 | 2 | no | — |
| 311 | GO+(4,𝔽2) | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 312 | AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 313 | AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 314 | AGL(1,𝔽9) | — | 4 | 1 | no | — |
| 315 | AGL(1,𝔽9) | — | 4 | 1 | no | — |
| 316 | AGL(1,𝔽9) | — | 4 | 1 | no | — |
| 317 | C32×D4 | C2×SD16 | 1 | 1 | yes | characteristic |
| 318 | C32×D4 | C2×SD16 | 1 | 1 | yes | characteristic, complemented |
| 319 | #638 | — | 2 | 1 | no | — |
| 320 | #638 | — | 2 | 1 | no | — |
| 321 | C4⋊(C3⋊D3) | C2×SD16 | 1 | 1 | yes | characteristic |
| 322 | C4⋊(C3⋊D3) | C2×SD16 | 1 | 1 | yes | characteristic, complemented |
| 323 | C4×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 324 | C3×#67 | — | 8 | 1 | no | — |
| 325 | C3×#67 | — | 8 | 1 | no | — |
| 326 | C3×D12 | — | 4 | 1 | no | — |
| 327 | C3×D12 | — | 4 | 1 | no | — |
| 328 | C3×C4×D3 | — | 4 | 1 | no | — |
| 329 | #626 | — | 8 | 1 | no | — |
| 330 | #626 | — | 8 | 1 | no | — |
| 331 | #625 | — | 4 | 1 | no | — |
| 332 | #625 | — | 4 | 1 | no | — |
| 333 | #624 | — | 2 | 1 | no | — |
| 334 | D3×Dic3 | — | 4 | 1 | no | — |
| 335 | #622 | — | 2 | 1 | no | — |
| 336 | #622 | — | 4 | 1 | no | — |
| 337 | C32×C8 | C2×SD16 | 1 | 1 | yes | characteristic, complemented |
| 338 | C3⋊(C3⋊C8) | C2×SD16 | 1 | 1 | yes | characteristic, complemented |
| 339 | C3×C3⋊C8 | — | 4 | 1 | no | — |
| 340 | C22×SD16 | — | 18 | 1 | no | — |
| 341 | C22×D8 | — | 18 | 1 | no | — |
| 342 | #554 | — | 9 | 1 | no | — |
| 343 | D4×Q8 | — | 9 | 1 | no | — |
| 344 | D42 | — | 9 | 1 | no | — |
| 345 | D42 | — | 9 | 1 | no | — |
| 346 | #501 | — | 18 | 1 | no | — |
| 347 | #498 | — | 9 | 1 | no | — |
| 348 | #493 | — | 9 | 1 | no | — |
| 349 | #492 | — | 9 | 1 | no | — |
| 350 | #492 | — | 9 | 1 | no | — |
| 351 | #486 | — | 9 | 1 | no | — |
| 352 | #486 | — | 9 | 1 | no | — |
| 353 | #481 | — | 18 | 1 | no | — |
| 354 | #478 | — | 18 | 1 | no | — |
| 355 | #476 | — | 9 | 1 | no | — |
| 356 | #476 | — | 9 | 1 | no | — |
| 357 | #476 | — | 18 | 1 | no | — |
| 358 | #474 | — | 9 | 1 | no | — |
| 359 | #466 | — | 18 | 1 | no | — |
| 360 | #465 | — | 18 | 1 | no | — |
| 361 | #465 | — | 18 | 1 | no | — |
| 362 | #461 | — | 9 | 1 | no | — |
| 363 | #460 | — | 9 | 1 | no | — |
| 364 | #460 | — | 9 | 1 | no | — |
| 365 | #459 | — | 9 | 1 | no | — |
| 366 | #459 | — | 9 | 1 | no | — |
| 367 | #450 | — | 18 | 1 | no | — |
| 368 | #450 | — | 18 | 1 | no | — |
| 369 | #448 | — | 18 | 1 | no | — |
| 370 | #447 | — | 18 | 1 | no | — |
| 371 | #447 | — | 18 | 1 | no | — |
| 372 | #446 | — | 9 | 1 | no | — |
| 373 | #442 | — | 18 | 1 | no | — |
| 374 | C4×SD16 | — | 9 | 1 | no | — |
| 375 | C4×D8 | — | 9 | 1 | no | — |
| 376 | C8×D4 | — | 9 | 1 | no | — |
| 377 | C8×D4 | — | 9 | 1 | no | — |
| 378 | C8×D4 | — | 9 | 1 | no | — |
| 379 | C2×#102 | — | 18 | 1 | no | — |
| 380 | #334 | — | 9 | 1 | no | — |
| 381 | #334 | — | 9 | 1 | no | — |
| 382 | #333 | — | 9 | 1 | no | — |
| 383 | #332 | — | 9 | 1 | no | — |
| 384 | #331 | — | 9 | 1 | no | — |
| 385 | #331 | — | 9 | 1 | no | — |
| 386 | Q8⋊C8 | — | 9 | 1 | no | — |
| 387 | D4⋊C8 | — | 9 | 1 | no | — |
| 388 | D4⋊C8 | — | 9 | 1 | no | — |
| 389 | D4⋊C8 | — | 9 | 1 | no | — |
| 390 | #322 | — | 9 | 1 | no | — |
| 391 | C23×D3 | — | 24 | 1 | no | — |
| 392 | C23×D3 | — | 24 | 1 | no | — |
| 393 | C2×C3×D4 | — | 12 | 1 | no | — |
| 394 | C2×C3×D4 | — | 12 | 1 | no | — |
| 395 | C2×#67 | — | 24 | 1 | no | — |
| 396 | C2×#67 | — | 24 | 1 | no | — |
| 397 | D3×D4 | — | 4 | 1 | no | — |
| 398 | D3×D4 | — | 4 | 1 | no | — |
| 399 | D3×D4 | — | 12 | 1 | no | — |
| 400 | D3×D4 | — | 12 | 1 | no | — |
| 401 | D3×D4 | — | 12 | 1 | no | — |
| 402 | D3×D4 | — | 12 | 1 | no | — |
| 403 | D3×D4 | — | 12 | 1 | no | — |
| 404 | D3×D4 | — | 12 | 1 | no | — |
| 405 | D3×D4 | — | 24 | 1 | no | — |
| 406 | D3×D4 | — | 24 | 1 | no | — |
| 407 | D3×D4 | — | 24 | 1 | no | — |
| 408 | D3×D4 | — | 24 | 1 | no | — |
| 409 | C2×D12 | — | 12 | 1 | no | — |
| 410 | C2×D12 | — | 12 | 1 | no | — |
| 411 | C2×C4×D3 | — | 12 | 1 | no | — |
| 412 | C3×D8 | — | 4 | 1 | no | — |
| 413 | C3×D8 | — | 12 | 1 | no | — |
| 414 | C3×D8 | — | 12 | 1 | no | — |
| 415 | C3×D8 | — | 12 | 1 | no | — |
| 416 | C2×C3×C8 | — | 12 | 1 | no | — |
| 417 | #213 | — | 4 | 1 | no | — |
| 418 | #213 | — | 4 | 1 | no | — |
| 419 | #213 | — | 12 | 1 | no | — |
| 420 | #213 | — | 12 | 1 | no | — |
| 421 | #213 | — | 12 | 1 | no | — |
| 422 | #213 | — | 12 | 1 | no | — |
| 423 | #213 | — | 12 | 1 | no | — |
| 424 | #213 | — | 12 | 1 | no | — |
| 425 | C2×C3⋊C8 | — | 12 | 1 | no | — |
| 426 | D24 | — | 4 | 1 | no | — |
| 427 | D24 | — | 12 | 1 | no | — |
| 428 | D24 | — | 12 | 1 | no | — |
| 429 | D24 | — | 12 | 1 | no | — |
| 430 | D3×C8 | — | 4 | 1 | no | — |
| 431 | D3×C8 | — | 12 | 1 | no | — |
| 432 | D3×C8 | — | 12 | 1 | no | — |
| 433 | D3×C8 | — | 12 | 1 | no | — |
| 434 | C22×C32 | — | 2 | 1 | no | — |
| 435 | C22×C32 | — | 2 | 1 | no | — |
| 436 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 437 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 438 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 439 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 440 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 441 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 442 | C2×C3⋊D3 | D42 | 1 | 1 | yes | characteristic |
| 443 | C2×C3×D3 | — | 4 | 1 | no | — |
| 444 | C2×C3×D3 | — | 8 | 1 | no | — |
| 445 | C2×C3×D3 | — | 8 | 1 | no | — |
| 446 | C2×C3×D3 | — | 16 | 2 | no | — |
| 447 | C2×C3×D3 | — | 16 | 2 | no | — |
| 448 | D32 | — | 2 | 2 | no | — |
| 449 | D32 | — | 4 | 1 | no | — |
| 450 | D32 | — | 8 | 1 | no | — |
| 451 | D32 | — | 8 | 1 | no | — |
| 452 | D32 | — | 8 | 1 | no | — |
| 453 | D32 | — | 8 | 1 | no | — |
| 454 | D32 | — | 16 | 2 | no | — |
| 455 | D32 | — | 16 | 2 | no | — |
| 456 | #157 | — | 2 | 1 | no | — |
| 457 | #157 | — | 4 | 1 | no | — |
| 458 | #157 | — | 4 | 1 | no | — |
| 459 | #157 | — | 4 | 1 | no | — |
| 460 | #157 | — | 4 | 1 | no | — |
| 461 | #157 | — | 8 | 1 | no | — |
| 462 | #157 | — | 8 | 1 | no | — |
| 463 | #157 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 464 | #157 | #576 | 1 | 1 | yes | characteristic |
| 465 | C32×C4 | C22×SD16 | 1 | 1 | yes | characteristic |
| 466 | C3⋊Dic3 | #577 | 1 | 1 | yes | characteristic |
| 467 | C3×Dic3 | — | 4 | 1 | no | — |
| 468 | C22×Q8 | — | 18 | 1 | no | — |
| 469 | C22×D4 | — | 18 | 1 | no | — |
| 470 | C22×D4 | — | 18 | 1 | no | — |
| 471 | C22×D4 | — | 18 | 1 | no | — |
| 472 | C22×D4 | — | 18 | 1 | no | — |
| 473 | C2×SD16 | — | 9 | 1 | no | — |
| 474 | C2×SD16 | — | 18 | 1 | no | — |
| 475 | C2×SD16 | — | 18 | 1 | no | — |
| 476 | C2×SD16 | — | 18 | 1 | no | — |
| 477 | C2×SD16 | — | 18 | 1 | no | — |
| 478 | C2×SD16 | — | 18 | 1 | no | — |
| 479 | C2×SD16 | — | 36 | 1 | no | — |
| 480 | C2×SD16 | — | 36 | 4 | no | — |
| 481 | C2×D8 | — | 9 | 1 | no | — |
| 482 | C2×D8 | — | 12 | 1 | no | — |
| 483 | C2×D8 | — | 18 | 1 | no | — |
| 484 | C2×D8 | — | 18 | 1 | no | — |
| 485 | C2×D8 | — | 18 | 1 | no | — |
| 486 | C2×D8 | — | 18 | 1 | no | — |
| 487 | C2×D8 | — | 36 | 1 | no | — |
| 488 | C2×D8 | — | 36 | 1 | no | — |
| 489 | C2×D8 | — | 36 | 1 | no | — |
| 490 | C22×C8 | — | 18 | 1 | no | — |
| 491 | C22×C8 | — | 18 | 1 | no | — |
| 492 | C22×C8 | — | 18 | 1 | no | — |
| 493 | C4⋊Q8 | — | 9 | 1 | no | — |
| 494 | C4⋊Q8 | — | 9 | 1 | no | — |
| 495 | C4⋊Q8 | — | 18 | 1 | no | — |
| 496 | #127 | — | 9 | 1 | no | — |
| 497 | #127 | — | 9 | 1 | no | — |
| 498 | #125 | — | 18 | 1 | no | — |
| 499 | C22⋊Q8 | — | 18 | 1 | no | — |
| 500 | C22⋊Q8 | — | 18 | 1 | no | — |
| 501 | C22⋊Q8 | — | 36 | 1 | no | — |
| 502 | C22⋊Q8 | — | 36 | 1 | no | — |
| 503 | #121 | — | 18 | 1 | no | — |
| 504 | #121 | — | 18 | 1 | no | — |
| 505 | #121 | — | 18 | 1 | no | — |
| 506 | #121 | — | 18 | 1 | no | — |
| 507 | #120 | — | 36 | 1 | no | — |
| 508 | #120 | — | 36 | 1 | no | — |
| 509 | C4×Q8 | — | 9 | 1 | no | — |
| 510 | C4×D4 | — | 9 | 1 | no | — |
| 511 | C4×D4 | — | 9 | 1 | no | — |
| 512 | C4×D4 | — | 9 | 1 | no | — |
| 513 | C4×D4 | — | 18 | 1 | no | — |
| 514 | C4×D4 | — | 18 | 1 | no | — |
| 515 | C2×C4⋊C4 | — | 18 | 1 | no | — |
| 516 | #107 | — | 9 | 1 | no | — |
| 517 | #107 | — | 18 | 1 | no | — |
| 518 | #106 | — | 9 | 1 | no | — |
| 519 | #106 | — | 18 | 1 | no | — |
| 520 | #106 | — | 18 | 1 | no | — |
| 521 | #106 | — | 18 | 1 | no | — |
| 522 | #106 | — | 18 | 1 | no | — |
| 523 | C4⋊C8 | — | 9 | 1 | no | — |
| 524 | C4⋊C8 | — | 9 | 1 | no | — |
| 525 | C4⋊C8 | — | 9 | 1 | no | — |
| 526 | C4⋊C8 | — | 9 | 1 | no | — |
| 527 | C4⋊C8 | — | 18 | 1 | no | — |
| 528 | #103 | — | 9 | 1 | no | — |
| 529 | #103 | — | 18 | 1 | no | — |
| 530 | #102 | — | 9 | 1 | no | — |
| 531 | #102 | — | 9 | 1 | no | — |
| 532 | #102 | — | 9 | 1 | no | — |
| 533 | #102 | — | 18 | 1 | no | — |
| 534 | #102 | — | 18 | 1 | no | — |
| 535 | #102 | — | 18 | 1 | no | — |
| 536 | #102 | — | 18 | 1 | no | — |
| 537 | #102 | — | 18 | 1 | no | — |
| 538 | #102 | — | 18 | 1 | no | — |
| 539 | #102 | — | 18 | 1 | no | — |
| 540 | #102 | — | 18 | 1 | no | — |
| 541 | #102 | — | 18 | 1 | no | — |
| 542 | #102 | — | 36 | 1 | no | — |
| 543 | C22⋊C8 | — | 18 | 1 | no | — |
| 544 | C22⋊C8 | — | 18 | 1 | no | — |
| 545 | C22⋊C8 | — | 18 | 1 | no | — |
| 546 | #97 | — | 18 | 1 | no | — |
| 547 | C4×C8 | — | 9 | 1 | no | — |
| 548 | C4×C8 | — | 9 | 1 | no | — |
| 549 | C4×C8 | — | 9 | 1 | no | — |
| 550 | C23×C3 | — | 24 | 1 | no | — |
| 551 | C23×C3 | — | 24 | 1 | no | — |
| 552 | C22×D3 | — | 8 | 1 | no | — |
| 553 | C22×D3 | — | 8 | 1 | no | — |
| 554 | C22×D3 | — | 12 | 1 | no | — |
| 555 | C22×D3 | — | 24 | 1 | no | — |
| 556 | C22×D3 | — | 24 | 1 | no | — |
| 557 | C22×D3 | — | 24 | 1 | no | — |
| 558 | C22×D3 | — | 24 | 1 | no | — |
| 559 | C22×D3 | — | 24 | 1 | no | — |
| 560 | C22×D3 | — | 24 | 1 | no | — |
| 561 | C22×D3 | — | 24 | 1 | no | — |
| 562 | C22×D3 | — | 24 | 1 | no | — |
| 563 | C22×D3 | — | 48 | 2 | no | — |
| 564 | C22×D3 | — | 48 | 2 | no | — |
| 565 | C22×D3 | — | 48 | 2 | no | — |
| 566 | C22×D3 | — | 48 | 2 | no | — |
| 567 | C3×D4 | — | 4 | 1 | no | — |
| 568 | C3×D4 | — | 4 | 1 | no | — |
| 569 | C3×D4 | — | 12 | 1 | no | — |
| 570 | C3×D4 | — | 12 | 1 | no | — |
| 571 | C3×D4 | — | 24 | 1 | no | — |
| 572 | C3×D4 | — | 24 | 1 | no | — |
| 573 | C2×C3×C4 | — | 12 | 1 | no | — |
| 574 | #67 | — | 8 | 1 | no | — |
| 575 | #67 | — | 8 | 1 | no | — |
| 576 | #67 | — | 24 | 1 | no | — |
| 577 | #67 | — | 24 | 1 | no | — |
| 578 | #67 | — | 24 | 1 | no | — |
| 579 | #67 | — | 24 | 1 | no | — |
| 580 | #67 | — | 24 | 1 | no | — |
| 581 | #67 | — | 24 | 1 | no | — |
| 582 | C2×Dic3 | — | 12 | 1 | no | — |
| 583 | D12 | — | 4 | 1 | no | — |
| 584 | D12 | — | 4 | 1 | no | — |
| 585 | D12 | — | 12 | 1 | no | — |
| 586 | D12 | — | 12 | 1 | no | — |
| 587 | D12 | — | 24 | 1 | no | — |
| 588 | D12 | — | 24 | 1 | no | — |
| 589 | C4×D3 | — | 4 | 1 | no | — |
| 590 | C4×D3 | — | 12 | 1 | no | — |
| 591 | C4×D3 | — | 12 | 1 | no | — |
| 592 | C4×D3 | — | 12 | 1 | no | — |
| 593 | C3×C8 | — | 4 | 1 | no | — |
| 594 | C3×C8 | — | 12 | 1 | no | — |
| 595 | C3⋊C8 | — | 4 | 1 | no | — |
| 596 | C3⋊C8 | — | 12 | 1 | no | — |
| 597 | C2×C32 | — | 4 | 1 | no | — |
| 598 | C2×C32 | — | 4 | 1 | no | — |
| 599 | C2×C32 | D4×SD16 | 1 | 1 | yes | characteristic |
| 600 | C3⋊D3 | — | 4 | 1 | no | — |
| 601 | C3⋊D3 | — | 4 | 1 | no | — |
| 602 | C3⋊D3 | #3264 | 1 | 1 | yes | characteristic |
| 603 | C3⋊D3 | #3288 | 1 | 1 | yes | characteristic |
| 604 | C3×D3 | — | 4 | 2 | no | — |
| 605 | C3×D3 | — | 16 | 1 | no | — |
| 606 | C3×D3 | — | 16 | 1 | no | — |
| 607 | C24 | — | 36 | 1 | no | — |
| 608 | C24 | — | 36 | 1 | no | — |
| 609 | C2×Q8 | — | 9 | 1 | no | — |
| 610 | C2×Q8 | — | 18 | 1 | no | — |
| 611 | C2×Q8 | — | 18 | 1 | no | — |
| 612 | C2×Q8 | — | 36 | 1 | no | — |
| 613 | C2×Q8 | — | 36 | 2 | no | — |
| 614 | C2×Q8 | — | 72 | 1 | no | — |
| 615 | C2×D4 | — | 9 | 1 | no | — |
| 616 | C2×D4 | — | 9 | 1 | no | — |
| 617 | C2×D4 | — | 9 | 1 | no | — |
| 618 | C2×D4 | — | 12 | 1 | no | — |
| 619 | C2×D4 | — | 12 | 1 | no | — |
| 620 | C2×D4 | — | 18 | 1 | no | — |
| 621 | C2×D4 | — | 18 | 1 | no | — |
| 622 | C2×D4 | — | 18 | 1 | no | — |
| 623 | C2×D4 | — | 18 | 1 | no | — |
| 624 | C2×D4 | — | 18 | 1 | no | — |
| 625 | C2×D4 | — | 18 | 1 | no | — |
| 626 | C2×D4 | — | 36 | 1 | no | — |
| 627 | C2×D4 | — | 36 | 1 | no | — |
| 628 | C2×D4 | — | 36 | 1 | no | — |
| 629 | C2×D4 | — | 36 | 1 | no | — |
| 630 | C2×D4 | — | 36 | 1 | no | — |
| 631 | C2×D4 | — | 36 | 1 | no | — |
| 632 | C2×D4 | — | 36 | 2 | no | — |
| 633 | C2×D4 | — | 36 | 2 | no | — |
| 634 | C2×D4 | — | 72 | 1 | no | — |
| 635 | C2×D4 | — | 72 | 1 | no | — |
| 636 | C2×D4 | — | 72 | 1 | no | — |
| 637 | C2×D4 | — | 72 | 1 | no | — |
| 638 | C22×C4 | — | 18 | 1 | no | — |
| 639 | C22×C4 | — | 18 | 1 | no | — |
| 640 | C22×C4 | — | 18 | 1 | no | — |
| 641 | C22×C4 | — | 36 | 1 | no | — |
| 642 | C22×C4 | — | 36 | 1 | no | — |
| 643 | SD16 | — | 18 | 2 | no | — |
| 644 | SD16 | — | 36 | 2 | no | — |
| 645 | SD16 | — | 36 | 2 | no | — |
| 646 | SD16 | — | 36 | 2 | no | — |
| 647 | SD16 | — | 72 | 1 | no | — |
| 648 | SD16 | — | 72 | 1 | no | — |
| 649 | SD16 | — | 72 | 2 | no | — |
| 650 | D8 | — | 9 | 1 | no | — |
| 651 | D8 | — | 9 | 1 | no | — |
| 652 | D8 | — | 9 | 1 | no | — |
| 653 | D8 | — | 12 | 1 | no | — |
| 654 | D8 | — | 12 | 1 | no | — |
| 655 | D8 | — | 12 | 1 | no | — |
| 656 | D8 | — | 36 | 1 | no | — |
| 657 | D8 | — | 36 | 1 | no | — |
| 658 | D8 | — | 36 | 1 | no | — |
| 659 | D8 | — | 72 | 1 | no | — |
| 660 | D8 | AΓL(1,𝔽9) | 1 | 1 | yes | characteristic, complemented |
| 661 | C2×C8 | — | 9 | 1 | no | — |
| 662 | C2×C8 | — | 9 | 1 | no | — |
| 663 | C2×C8 | — | 9 | 1 | no | — |
| 664 | C2×C8 | — | 9 | 1 | no | — |
| 665 | C2×C8 | — | 12 | 1 | no | — |
| 666 | C2×C8 | — | 18 | 1 | no | — |
| 667 | C2×C8 | — | 18 | 1 | no | — |
| 668 | C2×C8 | — | 18 | 1 | no | — |
| 669 | C2×C8 | — | 18 | 1 | no | — |
| 670 | C2×C8 | — | 18 | 1 | no | — |
| 671 | C2×C8 | — | 36 | 1 | no | — |
| 672 | C2×C8 | — | 36 | 2 | no | — |
| 673 | C2×C8 | — | 72 | 1 | no | — |
| 674 | C4⋊C4 | — | 9 | 1 | no | — |
| 675 | C4⋊C4 | — | 9 | 1 | no | — |
| 676 | C4⋊C4 | — | 9 | 1 | no | — |
| 677 | C4⋊C4 | — | 9 | 1 | no | — |
| 678 | C4⋊C4 | — | 18 | 1 | no | — |
| 679 | C4⋊C4 | — | 18 | 1 | no | — |
| 680 | C4⋊C4 | — | 18 | 1 | no | — |
| 681 | C4⋊C4 | — | 18 | 1 | no | — |
| 682 | C4⋊C4 | — | 18 | 1 | no | — |
| 683 | C4⋊C4 | — | 36 | 1 | no | — |
| 684 | C4⋊C4 | — | 36 | 1 | no | — |
| 685 | C4⋊C4 | — | 36 | 1 | no | — |
| 686 | C22⋊C4 | — | 18 | 1 | no | — |
| 687 | C22⋊C4 | — | 18 | 1 | no | — |
| 688 | C22⋊C4 | — | 18 | 1 | no | — |
| 689 | C22⋊C4 | — | 36 | 1 | no | — |
| 690 | C22⋊C4 | — | 36 | 1 | no | — |
| 691 | C22⋊C4 | — | 36 | 1 | no | — |
| 692 | C22⋊C4 | — | 36 | 1 | no | — |
| 693 | C42 | — | 9 | 1 | no | — |
| 694 | C42 | — | 18 | 1 | no | — |
| 695 | C22×C3 | — | 8 | 1 | no | — |
| 696 | C22×C3 | — | 8 | 1 | no | — |
| 697 | C22×C3 | — | 12 | 1 | no | — |
| 698 | C22×C3 | — | 24 | 1 | no | — |
| 699 | C22×C3 | — | 24 | 1 | no | — |
| 700 | C22×C3 | — | 48 | 2 | no | — |
| 701 | C22×C3 | — | 48 | 2 | no | — |
| 702 | C2×D3 | — | 4 | 1 | no | — |
| 703 | C2×D3 | — | 8 | 1 | no | — |
| 704 | C2×D3 | — | 8 | 1 | no | — |
| 705 | C2×D3 | — | 12 | 1 | no | — |
| 706 | C2×D3 | — | 12 | 2 | no | — |
| 707 | C2×D3 | — | 12 | 2 | no | — |
| 708 | C2×D3 | — | 16 | 2 | no | — |
| 709 | C2×D3 | — | 16 | 2 | no | — |
| 710 | C2×D3 | — | 24 | 1 | no | — |
| 711 | C2×D3 | — | 24 | 1 | no | — |
| 712 | C2×D3 | — | 48 | 1 | no | — |
| 713 | C2×D3 | — | 48 | 1 | no | — |
| 714 | C2×D3 | — | 48 | 1 | no | — |
| 715 | C2×D3 | — | 48 | 1 | no | — |
| 716 | C2×D3 | — | 48 | 1 | no | — |
| 717 | C2×D3 | — | 48 | 1 | no | — |
| 718 | C2×D3 | — | 48 | 1 | no | — |
| 719 | C2×D3 | — | 48 | 1 | no | — |
| 720 | C2×D3 | — | 48 | 2 | no | — |
| 721 | C2×D3 | — | 48 | 2 | no | — |
| 722 | C2×D3 | — | 48 | 2 | no | — |
| 723 | C2×D3 | — | 48 | 2 | no | — |
| 724 | C3×C4 | — | 4 | 1 | no | — |
| 725 | C3×C4 | — | 12 | 1 | no | — |
| 726 | Dic3 | — | 4 | 1 | no | — |
| 727 | Dic3 | — | 12 | 1 | no | — |
| 728 | C32 | #19763 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 729 | C23 | — | 18 | 1 | no | — |
| 730 | C23 | — | 18 | 1 | no | — |
| 731 | C23 | — | 18 | 1 | no | — |
| 732 | C23 | — | 24 | 1 | no | — |
| 733 | C23 | — | 24 | 1 | no | — |
| 734 | C23 | — | 36 | 1 | no | — |
| 735 | C23 | — | 36 | 1 | no | — |
| 736 | C23 | — | 72 | 1 | no | — |
| 737 | C23 | — | 72 | 1 | no | — |
| 738 | C23 | — | 72 | 2 | no | — |
| 739 | C23 | — | 72 | 2 | no | — |
| 740 | C23 | — | 144 | 1 | no | — |
| 741 | C23 | — | 144 | 1 | no | — |
| 742 | Q8 | — | 18 | 1 | no | — |
| 743 | Q8 | — | 18 | 1 | no | — |
| 744 | Q8 | — | 36 | 1 | no | — |
| 745 | Q8 | — | 36 | 1 | no | — |
| 746 | Q8 | — | 72 | 1 | no | — |
| 747 | Q8 | — | 72 | 2 | no | — |
| 748 | D4 | — | 9 | 2 | no | — |
| 749 | D4 | — | 9 | 1 | no | — |
| 750 | D4 | — | 9 | 1 | no | — |
| 751 | D4 | — | 12 | 1 | no | — |
| 752 | D4 | — | 12 | 1 | no | — |
| 753 | D4 | — | 18 | 1 | no | — |
| 754 | D4 | — | 18 | 1 | no | — |
| 755 | D4 | — | 18 | 1 | no | — |
| 756 | D4 | — | 24 | 1 | no | — |
| 757 | D4 | — | 24 | 1 | no | — |
| 758 | D4 | — | 36 | 1 | no | — |
| 759 | D4 | — | 36 | 1 | no | — |
| 760 | D4 | — | 36 | 1 | no | — |
| 761 | D4 | — | 36 | 1 | no | — |
| 762 | D4 | — | 36 | 1 | no | — |
| 763 | D4 | — | 36 | 1 | no | — |
| 764 | D4 | — | 72 | 1 | no | — |
| 765 | D4 | — | 72 | 1 | no | — |
| 766 | D4 | — | 72 | 1 | no | — |
| 767 | D4 | — | 72 | 1 | no | — |
| 768 | D4 | — | 72 | 2 | no | — |
| 769 | D4 | — | 72 | 2 | no | — |
| 770 | D4 | C2×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic |
| 771 | D4 | C2×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic, complemented |
| 772 | C2×C4 | — | 9 | 1 | no | — |
| 773 | C2×C4 | — | 9 | 1 | no | — |
| 774 | C2×C4 | — | 9 | 1 | no | — |
| 775 | C2×C4 | — | 12 | 1 | no | — |
| 776 | C2×C4 | — | 18 | 1 | no | — |
| 777 | C2×C4 | — | 18 | 1 | no | — |
| 778 | C2×C4 | — | 18 | 1 | no | — |
| 779 | C2×C4 | — | 18 | 1 | no | — |
| 780 | C2×C4 | — | 18 | 1 | no | — |
| 781 | C2×C4 | — | 36 | 1 | no | — |
| 782 | C2×C4 | — | 36 | 1 | no | — |
| 783 | C2×C4 | — | 36 | 1 | no | — |
| 784 | C2×C4 | — | 36 | 1 | no | — |
| 785 | C2×C4 | — | 36 | 1 | no | — |
| 786 | C2×C4 | — | 36 | 1 | no | — |
| 787 | C2×C4 | — | 36 | 1 | no | — |
| 788 | C2×C4 | — | 72 | 2 | no | — |
| 789 | C2×C4 | — | 144 | 1 | no | — |
| 790 | C8 | — | 9 | 1 | no | — |
| 791 | C8 | — | 12 | 1 | no | — |
| 792 | C8 | — | 18 | 1 | no | — |
| 793 | C8 | — | 18 | 1 | no | — |
| 794 | C8 | — | 18 | 1 | no | — |
| 795 | C8 | — | 36 | 1 | no | — |
| 796 | C8 | — | 36 | 1 | no | — |
| 797 | C8 | — | 36 | 1 | no | — |
| 798 | C8 | — | 36 | 1 | no | — |
| 799 | C8 | C2×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic, complemented |
| 800 | C2×C3 | — | 4 | 1 | no | — |
| 801 | C2×C3 | — | 12 | 2 | no | — |
| 802 | C2×C3 | — | 16 | 1 | no | — |
| 803 | C2×C3 | — | 16 | 1 | no | — |
| 804 | C2×C3 | — | 48 | 1 | no | — |
| 805 | C2×C3 | — | 48 | 1 | no | — |
| 806 | D3 | — | 4 | 2 | no | — |
| 807 | D3 | — | 12 | 1 | no | — |
| 808 | D3 | — | 12 | 1 | no | — |
| 809 | D3 | — | 16 | 1 | no | — |
| 810 | D3 | — | 16 | 1 | no | — |
| 811 | D3 | — | 48 | 1 | no | — |
| 812 | D3 | — | 48 | 1 | no | — |
| 813 | C22 | — | 2 | 1 | no | — |
| 814 | C22 | — | 2 | 1 | no | — |
| 815 | C22 | — | 9 | 1 | no | — |
| 816 | C22 | — | 12 | 1 | no | — |
| 817 | C22 | — | 18 | 2 | no | — |
| 818 | C22 | — | 18 | 1 | no | — |
| 819 | C22 | — | 18 | 1 | no | — |
| 820 | C22 | — | 24 | 1 | no | — |
| 821 | C22 | — | 24 | 1 | no | — |
| 822 | C22 | — | 36 | 1 | no | — |
| 823 | C22 | — | 36 | 1 | no | — |
| 824 | C22 | — | 36 | 1 | no | — |
| 825 | C22 | — | 36 | 1 | no | — |
| 826 | C22 | — | 36 | 1 | no | — |
| 827 | C22 | — | 48 | 2 | no | — |
| 828 | C22 | — | 48 | 2 | no | — |
| 829 | C22 | — | 72 | 1 | no | — |
| 830 | C22 | — | 72 | 1 | no | — |
| 831 | C22 | — | 72 | 1 | no | — |
| 832 | C22 | — | 72 | 1 | no | — |
| 833 | C22 | — | 144 | 2 | no | — |
| 834 | C22 | — | 144 | 2 | no | — |
| 835 | C4 | — | 9 | 1 | no | — |
| 836 | C4 | — | 9 | 1 | no | — |
| 837 | C4 | — | 9 | 1 | no | — |
| 838 | C4 | — | 12 | 1 | no | — |
| 839 | C4 | — | 18 | 1 | no | — |
| 840 | C4 | — | 36 | 1 | no | — |
| 841 | C4 | — | 36 | 1 | no | — |
| 842 | C4 | — | 36 | 1 | no | — |
| 843 | C4 | — | 36 | 1 | no | — |
| 844 | C4 | — | 72 | 1 | no | — |
| 845 | C4 | — | 72 | 1 | no | — |
| 846 | C4 | C22×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic |
| 847 | C3 | — | 4 | 1 | no | — |
| 848 | C2 | — | 4 | 1 | no | — |
| 849 | C2 | — | 4 | 1 | no | — |
| 850 | C2 | — | 9 | 1 | no | — |
| 851 | C2 | — | 9 | 1 | no | — |
| 852 | C2 | — | 12 | 2 | no | — |
| 853 | C2 | — | 36 | 1 | no | — |
| 854 | C2 | — | 36 | 1 | no | — |
| 855 | C2 | — | 48 | 1 | no | — |
| 856 | C2 | — | 48 | 1 | no | — |
| 857 | C2 | D4×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11897603 | C2 | semidirect |
| 2. #11887175 | C2 | semidirect |
| 3. D4×AΓL(1,𝔽9) | C2 | semidirect |
| 5. #11782687 | C2 | semidirect |
| 6. #11781757 | C2 | semidirect |
| 7. #11781274 | C2 | semidirect |
| 8. #11781049 | C2 | semidirect |
| 9. #11780824 | C2 | semidirect |
| 10. #11779747 | C2 | semidirect |
| 11. GO+(4,𝔽2)⋊SD16 | C2 | semidirect |
| 12. #11779242 | C2 | semidirect |
| 13. #11779036 | C2 | semidirect |
| 14. #11777459 | C2 | semidirect |
| 15. #11777361 | C2 | semidirect |
| 17. #10596545 | C22 | semidirect |
| 18. D4×PSU(3,𝔽2) | C22 | semidirect |
| 21. D4×AGL(1,𝔽9) | C22 | semidirect |
| 22. D4×AGL(1,𝔽9) | C22 | semidirect |
| 30. #10596410 | C22 | semidirect |
| 31. #10596410 | C22 | semidirect |
| 33. #10596408 | C22 | semidirect |
| 34. #10596408 | C22 | semidirect |
| 37. #10596402 | C22 | semidirect |
| 38. #10596402 | C22 | semidirect |
| 43. #10593559 | C22 | semidirect |
| 44. #10593558 | C22 | semidirect |
| 47. #10593535 | C22 | semidirect |
| 48. #10593532 | C22 | semidirect |
| 56. D4⋊AGL(1,𝔽9) | C22 | semidirect |
| 57. D4⋊AGL(1,𝔽9) | C22 | semidirect |
| 58. #10593252 | C22 | semidirect |
| 59. #10593251 | C22 | semidirect |
| 60. AGL(1,𝔽9)⋊C8 | C22 | semidirect |
| 61. #10593158 | C22 | semidirect |
| 62. #10593157 | C22 | semidirect |
| 63. #10593155 | C22 | semidirect |
| 64. #10593155 | C22 | semidirect |
| 65. PSU(3,𝔽2)⋊C8 | C22 | semidirect |
| 225. C32×D8 | SD16 | semidirect |
| 226. #3753 | SD16 | semidirect |
| 227. #3753 | SD16 | semidirect |
| 228. #3745 | SD16 | semidirect |
| 318. C32×D4 | C2×SD16 | semidirect |
| 322. C4⋊(C3⋊D3) | C2×SD16 | semidirect |
| 337. C32×C8 | C2×SD16 | semidirect |
| 338. C3⋊(C3⋊C8) | C2×SD16 | semidirect |
| 660. D8 | AΓL(1,𝔽9) | semidirect |
| 728. C32 | #19763 | semidirect |
| 771. D4 | C2×AΓL(1,𝔽9) | semidirect |
| 799. C8 | C2×AΓL(1,𝔽9) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11897603 | 2 |
| #11887175 | 2 |
| D4×AΓL(1,𝔽9) | 2 |
| D8×GO+(4,𝔽2) | 2 |
| #11782687 | 2 |
| #11781757 | 2 |
| #11781274 | 2 |
| #11781049 | 2 |
| #11780824 | 2 |
| #11779747 | 2 |
| GO+(4,𝔽2)⋊SD16 | 2 |
| #11779242 | 2 |
| #11779036 | 2 |
| #11777459 | 2 |
| #11777361 | 2 |
| #19763 | 9 |