Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
2315 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 2315 conjugacy classes of subgroups — too many to draw. Only its 142 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×D4×GO+(4,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #11878873 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11870539 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11868704 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11779747 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | GO+(4,𝔽2)⋊SD16 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #11776279 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | GO+(4,𝔽2)⋊M16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11774320 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C23×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 11 | C2×D32×D4 | — | 2 | 1 | no | — |
| 12 | C2×D4×#157 | C22 | 1 | 1 | yes | characteristic |
| 13 | #10596542 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | C2×#64242 | — | 2 | 1 | no | — |
| 15 | C2×#64241 | — | 2 | 2 | no | — |
| 16 | D4×GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 17 | D4×GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 18 | D4×GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 19 | D4×GO+(4,𝔽2) | C22 | 1 | 4 | yes | — |
| 20 | C2×#64231 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#64230 | — | 2 | 1 | no | — |
| 22 | C2×C4×GO+(4,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 23 | #10596484 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | #10596484 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #10596417 | — | 2 | 1 | no | — |
| 26 | #10596417 | — | 2 | 2 | no | — |
| 27 | #10596415 | — | 2 | 1 | no | — |
| 28 | #10596410 | — | 2 | 2 | no | — |
| 29 | #10596409 | C22 | 1 | 2 | yes | complemented |
| 30 | #10596408 | C22 | 1 | 2 | yes | complemented |
| 31 | C4×AΓL(1,𝔽9) | — | 2 | 2 | no | — |
| 32 | GO+(4,𝔽2)⋊Q8 | C22 | 1 | 2 | yes | complemented |
| 33 | #10596402 | C22 | 1 | 2 | yes | complemented |
| 34 | #10593814 | — | 2 | 1 | no | — |
| 35 | #10593559 | C22 | 1 | 2 | yes | complemented |
| 36 | #10593558 | C22 | 1 | 2 | yes | complemented |
| 37 | #10593557 | — | 2 | 2 | no | — |
| 38 | #10593544 | — | 2 | 1 | no | — |
| 39 | #10593539 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | D4⋊AGL(1,𝔽9) | C22 | 1 | 4 | yes | complemented |
| 41 | #10593155 | C22 | 1 | 4 | yes | complemented |
| 42 | GO+(4,𝔽2)⋊C8 | C22 | 1 | 4 | yes | complemented |
| 43 | C23×D32 | — | 2 | 2 | no | — |
| 44 | C23×#157 | — | 2 | 1 | no | — |
| 45 | C22×GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 46 | C22×GO+(4,𝔽2) | — | 2 | 4 | no | — |
| 47 | C22×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 48 | C22×GO+(4,𝔽2) | — | 2 | 4 | no | — |
| 49 | C22×GO+(4,𝔽2) | — | 4 | 8 | no | — |
| 50 | C22×GO+(4,𝔽2) | D4 | 1 | 1 | yes | characteristic |
| 51 | C22×GO+(4,𝔽2) | D4 | 1 | 2 | yes | — |
| 52 | C2×AΓL(1,𝔽9) | — | 2 | 2 | no | — |
| 53 | C2×AΓL(1,𝔽9) | — | 2 | 4 | no | — |
| 54 | C2×D4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 55 | C2×C3×D3×D4 | — | 4 | 1 | no | — |
| 56 | C2×#3811 | — | 2 | 2 | no | — |
| 57 | C2×D3×#67 | — | 4 | 2 | no | — |
| 58 | D32×D4 | — | 2 | 4 | no | — |
| 59 | D32×D4 | — | 2 | 4 | no | — |
| 60 | D32×D4 | — | 4 | 2 | no | — |
| 61 | D32×D4 | — | 4 | 2 | no | — |
| 62 | C2×#3802 | — | 2 | 1 | no | — |
| 63 | C2×D3×D12 | — | 4 | 1 | no | — |
| 64 | C2×C4×D32 | — | 2 | 1 | no | — |
| 65 | C2×C22⋊#157 | — | 2 | 1 | no | — |
| 66 | D4×#157 | — | 2 | 1 | no | — |
| 67 | D4×#157 | — | 2 | 1 | no | — |
| 68 | D4×#157 | D4 | 1 | 2 | yes | — |
| 69 | D4×#157 | C23 | 1 | 2 | yes | — |
| 70 | #64286 | — | 2 | 1 | no | — |
| 71 | C2×C4⋊#157 | D4 | 1 | 1 | yes | characteristic |
| 72 | C2×C4×#157 | C23 | 1 | 1 | yes | characteristic |
| 73 | #64283 | — | 2 | 1 | no | — |
| 74 | C22⋊PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 75 | C22⋊PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 76 | C4⋊PSU(3,𝔽2) | C23 | 1 | 1 | yes | characteristic, complemented |
| 77 | C4⋊PSU(3,𝔽2) | C23 | 1 | 1 | yes | characteristic, complemented |
| 78 | C4×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 79 | C4×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 80 | #64243 | — | 2 | 1 | no | — |
| 81 | #64242 | — | 2 | 4 | no | — |
| 82 | #64242 | — | 2 | 4 | no | — |
| 83 | #64241 | — | 2 | 8 | no | — |
| 84 | #64241 | — | 2 | 8 | no | — |
| 85 | C2×#3773 | D4 | 1 | 1 | yes | characteristic |
| 86 | C2×D32⋊C4 | — | 2 | 2 | no | — |
| 87 | C2×D32⋊C4 | — | 2 | 1 | no | — |
| 88 | #64231 | — | 2 | 1 | no | — |
| 89 | #64231 | — | 2 | 1 | no | — |
| 90 | #64231 | D4 | 1 | 2 | yes | — |
| 91 | #64231 | C23 | 1 | 2 | yes | — |
| 92 | #64230 | — | 2 | 4 | no | — |
| 93 | #64230 | — | 2 | 4 | no | — |
| 94 | C4×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 95 | C4×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 96 | C4×GO+(4,𝔽2) | D4 | 1 | 2 | yes | — |
| 97 | C4×GO+(4,𝔽2) | C23 | 1 | 2 | yes | — |
| 98 | C22⋊AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 99 | C22⋊AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 100 | C4⋊AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 101 | C4⋊AGL(1,𝔽9) | C23 | 1 | 2 | yes | complemented |
| 102 | C4×AGL(1,𝔽9) | — | 2 | 1 | no | — |
| 103 | C4×AGL(1,𝔽9) | C23 | 1 | 2 | yes | complemented |
| 104 | AGL(1,𝔽9)⋊C4 | — | 2 | 2 | no | — |
| 105 | PSU(3,𝔽2)⋊C4 | — | 2 | 2 | no | — |
| 106 | GO+(4,𝔽2)⋊C4 | — | 2 | 4 | no | — |
| 107 | GO+(4,𝔽2)⋊C4 | — | 2 | 2 | no | — |
| 108 | #63782 | — | 2 | 2 | no | — |
| 109 | #63782 | — | 2 | 2 | no | — |
| 110 | #63746 | — | 2 | 2 | no | — |
| 111 | #63745 | — | 2 | 2 | no | — |
| 112 | #63744 | — | 2 | 1 | no | — |
| 113 | #63744 | C23 | 1 | 2 | yes | complemented |
| 114 | #18747 | — | 9 | 1 | no | maximal, Sylow |
| 115 | C22×D3×D4 | — | 12 | 1 | no | — |
| 116 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 117 | C23×C3×D3 | — | 4 | 2 | no | — |
| 118 | C22×D32 | — | 2 | 1 | no | — |
| 119 | C22×D32 | — | 2 | 2 | no | — |
| 120 | C22×D32 | — | 2 | 8 | no | — |
| 121 | C22×D32 | — | 4 | 8 | no | — |
| 122 | C22×D32 | — | 4 | 2 | no | — |
| 123 | C22×D32 | — | 4 | 4 | no | — |
| 124 | C22×D32 | — | 8 | 4 | no | — |
| 125 | C22×#157 | — | 2 | 1 | no | — |
| 126 | C22×#157 | — | 2 | 2 | no | — |
| 127 | C22×#157 | — | 2 | 2 | no | — |
| 128 | C22×#157 | — | 4 | 4 | no | — |
| 129 | C22×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 130 | C22×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 131 | C2×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 132 | C2×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 133 | C2×GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 134 | C2×GO+(4,𝔽2) | — | 2 | 4 | no | — |
| 135 | C2×GO+(4,𝔽2) | — | 2 | 8 | no | — |
| 136 | C2×GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 137 | C2×GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 138 | C2×GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 139 | C2×GO+(4,𝔽2) | — | 4 | 16 | no | — |
| 140 | C2×GO+(4,𝔽2) | — | 4 | 8 | no | — |
| 141 | C2×GO+(4,𝔽2) | — | 4 | 4 | no | — |
| 142 | C2×GO+(4,𝔽2) | — | 4 | 8 | no | — |
| 143 | C2×GO+(4,𝔽2) | — | 4 | 8 | no | — |
| 144 | C2×GO+(4,𝔽2) | — | 8 | 2 | no | — |
| 145 | C2×GO+(4,𝔽2) | C2×D4 | 1 | 2 | yes | — |
| 146 | C2×GO+(4,𝔽2) | C2×D4 | 1 | 4 | yes | — |
| 147 | C2×AGL(1,𝔽9) | — | 2 | 2 | no | — |
| 148 | C2×AGL(1,𝔽9) | — | 2 | 2 | no | — |
| 149 | AΓL(1,𝔽9) | — | 4 | 4 | no | — |
| 150 | AΓL(1,𝔽9) | — | 8 | 4 | no | — |
| 151 | C2×C32×D4 | SD16 | 1 | 1 | yes | characteristic, complemented |
| 152 | C2×#638 | — | 2 | 1 | no | — |
| 153 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 154 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 155 | D4×C3⋊D3 | SD16 | 1 | 2 | yes | complemented |
| 156 | D4×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 157 | C2×C4⋊(C3⋊D3) | SD16 | 1 | 1 | yes | characteristic, complemented |
| 158 | C2×C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | C2×C3×#67 | — | 4 | 2 | no | — |
| 160 | C3×D3×D4 | — | 4 | 4 | no | — |
| 161 | C3×D3×D4 | — | 4 | 4 | no | — |
| 162 | C2×C3×D12 | — | 4 | 1 | no | — |
| 163 | C2×C3×C4×D3 | — | 4 | 1 | no | — |
| 164 | #3811 | — | 2 | 8 | no | — |
| 165 | #3811 | — | 4 | 4 | no | — |
| 166 | D3×#67 | — | 4 | 8 | no | — |
| 167 | D3×#67 | — | 4 | 8 | no | — |
| 168 | C2×#626 | — | 4 | 2 | no | — |
| 169 | C2×#625 | — | 4 | 1 | no | — |
| 170 | C2×#624 | — | 2 | 1 | no | — |
| 171 | C2×D3×Dic3 | — | 4 | 1 | no | — |
| 172 | #3802 | — | 2 | 2 | no | — |
| 173 | #3802 | — | 2 | 2 | no | — |
| 174 | #3802 | — | 4 | 1 | no | — |
| 175 | #3802 | — | 4 | 1 | no | — |
| 176 | D3×D12 | — | 4 | 4 | no | — |
| 177 | D3×D12 | — | 4 | 4 | no | — |
| 178 | C4×D32 | — | 2 | 2 | no | — |
| 179 | C4×D32 | — | 2 | 2 | no | — |
| 180 | C4×D32 | — | 4 | 1 | no | — |
| 181 | C4×D32 | — | 4 | 1 | no | — |
| 182 | C22⋊#157 | — | 2 | 2 | no | — |
| 183 | C22⋊#157 | — | 2 | 2 | no | — |
| 184 | C22⋊#157 | — | 4 | 1 | no | — |
| 185 | #3792 | — | 4 | 1 | no | — |
| 186 | C4⋊#157 | — | 2 | 1 | no | — |
| 187 | C4⋊#157 | — | 2 | 1 | no | — |
| 188 | C4⋊#157 | — | 2 | 1 | no | — |
| 189 | C4⋊#157 | C2×D4 | 1 | 2 | yes | — |
| 190 | C4×#157 | — | 4 | 1 | no | — |
| 191 | C4×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C4×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C4×#157 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C4×#157 | C24 | 1 | 1 | yes | characteristic |
| 195 | #3788 | — | 4 | 1 | no | — |
| 196 | #3787 | — | 2 | 2 | no | — |
| 197 | #3777 | — | 2 | 1 | no | — |
| 198 | #3777 | — | 2 | 1 | no | — |
| 199 | #3777 | — | 4 | 1 | no | — |
| 200 | #3777 | — | 4 | 1 | no | — |
| 201 | #3773 | — | 2 | 1 | no | — |
| 202 | #3773 | C2×D4 | 1 | 2 | yes | — |
| 203 | D32⋊C4 | — | 2 | 8 | no | — |
| 204 | D32⋊C4 | — | 2 | 2 | no | — |
| 205 | D32⋊C4 | — | 2 | 2 | no | — |
| 206 | C2×D42 | — | 9 | 1 | no | — |
| 207 | #3208 | — | 9 | 1 | no | — |
| 208 | #3101 | — | 9 | 1 | no | — |
| 209 | #3077 | — | 9 | 1 | no | — |
| 210 | #1639 | — | 9 | 4 | no | — |
| 211 | #1629 | — | 9 | 4 | no | — |
| 212 | #1545 | — | 9 | 1 | no | — |
| 213 | #1486 | — | 9 | 1 | no | — |
| 214 | #1478 | — | 9 | 1 | no | — |
| 215 | C24×D3 | — | 12 | 2 | no | — |
| 216 | C22×C3×D4 | — | 12 | 1 | no | — |
| 217 | C22×#67 | — | 12 | 2 | no | — |
| 218 | C2×D3×D4 | — | 4 | 1 | no | — |
| 219 | C2×D3×D4 | — | 12 | 1 | no | — |
| 220 | C2×D3×D4 | — | 12 | 1 | no | — |
| 221 | C2×D3×D4 | — | 12 | 4 | no | — |
| 222 | C2×D3×D4 | — | 12 | 4 | no | — |
| 223 | C2×D3×D4 | — | 12 | 2 | no | — |
| 224 | C2×D3×D4 | — | 12 | 1 | no | — |
| 225 | C2×D3×D4 | — | 12 | 4 | no | — |
| 226 | C2×D3×D4 | — | 12 | 4 | no | — |
| 227 | C2×D3×D4 | — | 12 | 2 | no | — |
| 228 | C22×D12 | — | 12 | 1 | no | — |
| 229 | C22×C4×D3 | — | 12 | 1 | no | — |
| 230 | C23×C32 | — | 2 | 1 | no | — |
| 231 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 232 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 233 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 234 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 235 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 236 | C22×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 237 | C22×C3×D3 | — | 4 | 1 | no | — |
| 238 | C22×C3×D3 | — | 4 | 8 | no | — |
| 239 | C22×C3×D3 | — | 4 | 2 | no | — |
| 240 | C22×C3×D3 | — | 8 | 8 | no | — |
| 241 | C2×D32 | — | 2 | 4 | no | — |
| 242 | C2×D32 | — | 2 | 2 | no | — |
| 243 | C2×D32 | — | 2 | 4 | no | — |
| 244 | C2×D32 | — | 4 | 2 | no | — |
| 245 | C2×D32 | — | 4 | 1 | no | — |
| 246 | C2×D32 | — | 4 | 8 | no | — |
| 247 | C2×D32 | — | 4 | 2 | no | — |
| 248 | C2×D32 | — | 4 | 16 | no | — |
| 249 | C2×D32 | — | 4 | 4 | no | — |
| 250 | C2×D32 | — | 4 | 4 | no | — |
| 251 | C2×D32 | — | 8 | 8 | no | — |
| 252 | C2×D32 | — | 8 | 16 | no | — |
| 253 | C2×D32 | — | 8 | 8 | no | — |
| 254 | C2×#157 | — | 2 | 2 | no | — |
| 255 | C2×#157 | — | 2 | 2 | no | — |
| 256 | C2×#157 | — | 4 | 1 | no | — |
| 257 | C2×#157 | — | 4 | 4 | no | — |
| 258 | C2×#157 | — | 4 | 2 | no | — |
| 259 | C2×#157 | — | 4 | 4 | no | — |
| 260 | C2×#157 | — | 4 | 1 | no | — |
| 261 | C2×#157 | — | 4 | 1 | no | — |
| 262 | C2×#157 | #120 | 1 | 1 | yes | characteristic |
| 263 | C2×#157 | #120 | 1 | 1 | yes | characteristic |
| 264 | C2×#157 | C22×D4 | 1 | 1 | yes | characteristic |
| 265 | C2×#157 | C22×D4 | 1 | 1 | yes | characteristic |
| 266 | PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 267 | PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 268 | GO+(4,𝔽2) | — | 2 | 4 | no | — |
| 269 | GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 270 | GO+(4,𝔽2) | — | 4 | 4 | no | — |
| 271 | GO+(4,𝔽2) | — | 4 | 4 | no | — |
| 272 | GO+(4,𝔽2) | — | 4 | 16 | no | — |
| 273 | GO+(4,𝔽2) | — | 4 | 4 | no | — |
| 274 | GO+(4,𝔽2) | — | 8 | 2 | no | — |
| 275 | GO+(4,𝔽2) | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 276 | AGL(1,𝔽9) | — | 4 | 2 | no | — |
| 277 | AGL(1,𝔽9) | — | 4 | 2 | no | — |
| 278 | C32×D4 | — | 2 | 1 | no | — |
| 279 | C32×D4 | C2×SD16 | 1 | 2 | yes | — |
| 280 | C2×C32×C4 | C2×SD16 | 1 | 1 | yes | characteristic |
| 281 | #638 | — | 2 | 2 | no | — |
| 282 | #638 | — | 2 | 2 | no | — |
| 283 | C2×C3⋊Dic3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 284 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 285 | C4⋊(C3⋊D3) | C2×SD16 | 1 | 2 | yes | — |
| 286 | C4×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 287 | C4×C3⋊D3 | C2×SD16 | 1 | 1 | yes | characteristic |
| 288 | C4×C3⋊D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 289 | C4×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 290 | C3×#67 | — | 4 | 8 | no | — |
| 291 | C2×C3×Dic3 | — | 4 | 1 | no | — |
| 292 | C3×D12 | — | 4 | 2 | no | — |
| 293 | C3×D12 | — | 4 | 2 | no | — |
| 294 | C3×C4×D3 | — | 4 | 2 | no | — |
| 295 | C3×C4×D3 | — | 4 | 2 | no | — |
| 296 | #626 | — | 4 | 8 | no | — |
| 297 | #625 | — | 4 | 2 | no | — |
| 298 | #625 | — | 4 | 2 | no | — |
| 299 | #624 | — | 2 | 2 | no | — |
| 300 | #624 | — | 4 | 1 | no | — |
| 301 | D3×Dic3 | — | 4 | 2 | no | — |
| 302 | D3×Dic3 | — | 4 | 2 | no | — |
| 303 | #622 | — | 4 | 2 | no | — |
| 304 | C23×D4 | — | 18 | 1 | no | — |
| 305 | C23×D4 | — | 18 | 1 | no | — |
| 306 | D42 | — | 9 | 4 | no | — |
| 307 | D42 | — | 18 | 2 | no | — |
| 308 | D42 | — | 18 | 2 | no | — |
| 309 | D42 | — | 18 | 2 | no | — |
| 310 | #533 | — | 9 | 1 | no | — |
| 311 | C2×#127 | — | 9 | 1 | no | — |
| 312 | C2×#121 | — | 18 | 1 | no | — |
| 313 | C2×#121 | — | 18 | 1 | no | — |
| 314 | C2×#120 | — | 18 | 2 | no | — |
| 315 | C2×C4×D4 | — | 9 | 1 | no | — |
| 316 | C2×C4×D4 | — | 9 | 1 | no | — |
| 317 | #492 | — | 9 | 2 | no | — |
| 318 | #486 | — | 9 | 2 | no | — |
| 319 | #483 | — | 18 | 1 | no | — |
| 320 | #478 | — | 18 | 2 | no | — |
| 321 | #476 | — | 9 | 2 | no | — |
| 322 | #476 | — | 9 | 2 | no | — |
| 323 | #474 | — | 9 | 2 | no | — |
| 324 | #461 | — | 9 | 2 | no | — |
| 325 | #460 | — | 18 | 2 | no | — |
| 326 | #450 | — | 18 | 1 | no | — |
| 327 | #450 | — | 18 | 2 | no | — |
| 328 | C4×SD16 | — | 18 | 2 | no | — |
| 329 | #431 | — | 9 | 1 | no | — |
| 330 | #431 | — | 9 | 1 | no | — |
| 331 | #428 | — | 18 | 1 | no | — |
| 332 | #423 | — | 9 | 1 | no | — |
| 333 | #418 | — | 18 | 1 | no | — |
| 334 | #331 | — | 9 | 4 | no | — |
| 335 | D4⋊C8 | — | 9 | 4 | no | — |
| 336 | D4⋊C8 | — | 9 | 4 | no | — |
| 337 | C24×C3 | — | 12 | 2 | no | — |
| 338 | C23×D3 | — | 4 | 2 | no | — |
| 339 | C23×D3 | — | 12 | 1 | no | — |
| 340 | C23×D3 | — | 12 | 2 | no | — |
| 341 | C23×D3 | — | 12 | 8 | no | — |
| 342 | C23×D3 | — | 12 | 2 | no | — |
| 343 | C23×D3 | — | 12 | 2 | no | — |
| 344 | C23×D3 | — | 12 | 2 | no | — |
| 345 | C23×D3 | — | 12 | 8 | no | — |
| 346 | C23×D3 | — | 24 | 8 | no | — |
| 347 | C23×D3 | — | 24 | 8 | no | — |
| 348 | C2×C3×D4 | — | 4 | 1 | no | — |
| 349 | C2×C3×D4 | — | 12 | 1 | no | — |
| 350 | C2×C3×D4 | — | 12 | 4 | no | — |
| 351 | C2×C3×D4 | — | 12 | 4 | no | — |
| 352 | C2×C3×D4 | — | 12 | 2 | no | — |
| 353 | C22×C3×C4 | — | 12 | 1 | no | — |
| 354 | C2×#67 | — | 4 | 2 | no | — |
| 355 | C2×#67 | — | 12 | 2 | no | — |
| 356 | C2×#67 | — | 12 | 2 | no | — |
| 357 | C2×#67 | — | 12 | 8 | no | — |
| 358 | C2×#67 | — | 12 | 8 | no | — |
| 359 | C2×#67 | — | 12 | 2 | no | — |
| 360 | C22×Dic3 | — | 12 | 1 | no | — |
| 361 | D3×D4 | — | 4 | 4 | no | — |
| 362 | D3×D4 | — | 4 | 4 | no | — |
| 363 | D3×D4 | — | 12 | 2 | no | — |
| 364 | D3×D4 | — | 12 | 2 | no | — |
| 365 | D3×D4 | — | 12 | 2 | no | — |
| 366 | D3×D4 | — | 12 | 2 | no | — |
| 367 | D3×D4 | — | 12 | 8 | no | — |
| 368 | D3×D4 | — | 12 | 2 | no | — |
| 369 | D3×D4 | — | 12 | 2 | no | — |
| 370 | D3×D4 | — | 12 | 4 | no | — |
| 371 | D3×D4 | — | 12 | 4 | no | — |
| 372 | D3×D4 | — | 12 | 2 | no | — |
| 373 | D3×D4 | — | 12 | 2 | no | — |
| 374 | D3×D4 | — | 12 | 8 | no | — |
| 375 | D3×D4 | — | 12 | 8 | no | — |
| 376 | D3×D4 | — | 12 | 8 | no | — |
| 377 | C2×D12 | — | 4 | 1 | no | — |
| 378 | C2×D12 | — | 12 | 1 | no | — |
| 379 | C2×D12 | — | 12 | 4 | no | — |
| 380 | C2×D12 | — | 12 | 4 | no | — |
| 381 | C2×D12 | — | 12 | 2 | no | — |
| 382 | C2×C4×D3 | — | 4 | 1 | no | — |
| 383 | C2×C4×D3 | — | 12 | 1 | no | — |
| 384 | C2×C4×D3 | — | 12 | 2 | no | — |
| 385 | C2×C4×D3 | — | 12 | 2 | no | — |
| 386 | C2×C4×D3 | — | 12 | 1 | no | — |
| 387 | C2×C4×D3 | — | 12 | 2 | no | — |
| 388 | C2×C4×D3 | — | 12 | 2 | no | — |
| 389 | C2×C4×D3 | — | 12 | 1 | no | — |
| 390 | C22×C32 | — | 2 | 2 | no | — |
| 391 | C22×C32 | — | 4 | 2 | no | — |
| 392 | C22×C32 | #450 | 1 | 1 | yes | characteristic |
| 393 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 394 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 395 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 396 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 397 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 398 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 399 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 400 | C2×C3⋊D3 | #450 | 1 | 1 | yes | characteristic |
| 401 | C2×C3⋊D3 | C2×#120 | 1 | 1 | yes | characteristic |
| 402 | C2×C3×D3 | — | 4 | 4 | no | — |
| 403 | C2×C3×D3 | — | 4 | 2 | no | — |
| 404 | C2×C3×D3 | — | 4 | 4 | no | — |
| 405 | C2×C3×D3 | — | 8 | 16 | no | — |
| 406 | C2×C3×D3 | — | 8 | 4 | no | — |
| 407 | D32 | — | 2 | 4 | no | — |
| 408 | D32 | — | 4 | 4 | no | — |
| 409 | D32 | — | 4 | 2 | no | — |
| 410 | D32 | — | 4 | 4 | no | — |
| 411 | D32 | — | 4 | 4 | no | — |
| 412 | D32 | — | 8 | 16 | no | — |
| 413 | D32 | — | 8 | 4 | no | — |
| 414 | #157 | — | 2 | 1 | no | — |
| 415 | #157 | — | 2 | 1 | no | — |
| 416 | #157 | — | 2 | 1 | no | — |
| 417 | #157 | — | 4 | 2 | no | — |
| 418 | #157 | — | 8 | 1 | no | — |
| 419 | #157 | — | 8 | 1 | no | — |
| 420 | #157 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 421 | C32×C4 | #450 | 1 | 1 | yes | characteristic |
| 422 | C32×C4 | C22×SD16 | 1 | 1 | yes | characteristic |
| 423 | C3⋊Dic3 | #450 | 1 | 1 | yes | characteristic |
| 424 | C3⋊Dic3 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 425 | C3×Dic3 | — | 4 | 2 | no | — |
| 426 | C25 | — | 18 | 2 | no | — |
| 427 | C22×D4 | — | 9 | 1 | no | — |
| 428 | C22×D4 | — | 9 | 1 | no | — |
| 429 | C22×D4 | — | 9 | 2 | no | — |
| 430 | C22×D4 | — | 12 | 1 | no | — |
| 431 | C22×D4 | — | 18 | 1 | no | — |
| 432 | C22×D4 | — | 18 | 1 | no | — |
| 433 | C22×D4 | — | 18 | 4 | no | — |
| 434 | C22×D4 | — | 18 | 4 | no | — |
| 435 | C22×D4 | — | 18 | 2 | no | — |
| 436 | C22×D4 | — | 18 | 4 | no | — |
| 437 | C22×D4 | — | 18 | 2 | no | — |
| 438 | C22×D4 | — | 18 | 4 | no | — |
| 439 | C22×D4 | — | 36 | 1 | no | — |
| 440 | C22×D4 | — | 36 | 2 | no | — |
| 441 | C22×D4 | — | 36 | 2 | no | — |
| 442 | C22×D4 | — | 36 | 2 | no | — |
| 443 | C22×D4 | — | 36 | 8 | no | — |
| 444 | C23×C4 | — | 18 | 1 | no | — |
| 445 | C23×C4 | — | 18 | 1 | no | — |
| 446 | C2×SD16 | — | 18 | 2 | no | — |
| 447 | C2×SD16 | — | 18 | 4 | no | — |
| 448 | C2×M16 | — | 18 | 1 | no | — |
| 449 | C4⋊Q8 | — | 9 | 1 | no | — |
| 450 | C4⋊Q8 | — | 9 | 1 | no | — |
| 451 | #127 | — | 9 | 2 | no | — |
| 452 | #127 | — | 9 | 2 | no | — |
| 453 | #127 | — | 18 | 1 | no | — |
| 454 | #127 | — | 18 | 1 | no | — |
| 455 | #125 | — | 18 | 1 | no | — |
| 456 | C22⋊Q8 | — | 18 | 1 | no | — |
| 457 | C22⋊Q8 | — | 18 | 1 | no | — |
| 458 | #121 | — | 18 | 4 | no | — |
| 459 | #121 | — | 18 | 4 | no | — |
| 460 | #121 | — | 18 | 4 | no | — |
| 461 | #121 | — | 18 | 4 | no | — |
| 462 | #120 | — | 18 | 8 | no | — |
| 463 | #120 | — | 18 | 8 | no | — |
| 464 | C4×Q8 | — | 18 | 1 | no | — |
| 465 | C4×Q8 | — | 18 | 1 | no | — |
| 466 | C4×D4 | — | 9 | 2 | no | — |
| 467 | C4×D4 | — | 9 | 2 | no | — |
| 468 | C4×D4 | — | 9 | 2 | no | — |
| 469 | C4×D4 | — | 9 | 2 | no | — |
| 470 | C4×D4 | — | 18 | 1 | no | — |
| 471 | C4×D4 | — | 18 | 1 | no | — |
| 472 | C4×D4 | — | 18 | 1 | no | — |
| 473 | C4×D4 | — | 18 | 1 | no | — |
| 474 | #117 | — | 18 | 1 | no | — |
| 475 | C2×C4⋊C4 | — | 9 | 1 | no | — |
| 476 | C2×C4⋊C4 | — | 9 | 1 | no | — |
| 477 | C2×C22⋊C4 | — | 18 | 1 | no | — |
| 478 | C2×C22⋊C4 | — | 18 | 1 | no | — |
| 479 | C2×C22⋊C4 | — | 18 | 2 | no | — |
| 480 | C2×C42 | — | 9 | 1 | no | — |
| 481 | #107 | — | 18 | 2 | no | — |
| 482 | #106 | — | 18 | 2 | no | — |
| 483 | #106 | — | 18 | 2 | no | — |
| 484 | C4⋊C8 | — | 9 | 2 | no | — |
| 485 | C4⋊C8 | — | 9 | 2 | no | — |
| 486 | C4⋊C8 | — | 18 | 1 | no | — |
| 487 | C4⋊C8 | — | 18 | 1 | no | — |
| 488 | #103 | — | 18 | 2 | no | — |
| 489 | #102 | — | 18 | 2 | no | — |
| 490 | #102 | — | 18 | 2 | no | — |
| 491 | #102 | — | 18 | 2 | no | — |
| 492 | #102 | — | 18 | 4 | no | — |
| 493 | C22⋊C8 | — | 18 | 1 | no | — |
| 494 | C22⋊C8 | — | 18 | 1 | no | — |
| 495 | C4×C8 | — | 9 | 2 | no | — |
| 496 | C4×C8 | — | 18 | 1 | no | — |
| 497 | C23×C3 | — | 4 | 2 | no | — |
| 498 | C23×C3 | — | 12 | 1 | no | — |
| 499 | C23×C3 | — | 12 | 8 | no | — |
| 500 | C23×C3 | — | 12 | 2 | no | — |
| 501 | C23×C3 | — | 24 | 8 | no | — |
| 502 | C22×D3 | — | 4 | 1 | no | — |
| 503 | C22×D3 | — | 4 | 2 | no | — |
| 504 | C22×D3 | — | 4 | 8 | no | — |
| 505 | C22×D3 | — | 8 | 8 | no | — |
| 506 | C22×D3 | — | 12 | 1 | no | — |
| 507 | C22×D3 | — | 12 | 2 | no | — |
| 508 | C22×D3 | — | 12 | 4 | no | — |
| 509 | C22×D3 | — | 12 | 4 | no | — |
| 510 | C22×D3 | — | 12 | 2 | no | — |
| 511 | C22×D3 | — | 12 | 4 | no | — |
| 512 | C22×D3 | — | 12 | 4 | no | — |
| 513 | C22×D3 | — | 12 | 2 | no | — |
| 514 | C22×D3 | — | 12 | 4 | no | — |
| 515 | C22×D3 | — | 12 | 8 | no | — |
| 516 | C22×D3 | — | 12 | 4 | no | — |
| 517 | C22×D3 | — | 12 | 8 | no | — |
| 518 | C22×D3 | — | 24 | 16 | no | — |
| 519 | C22×D3 | — | 24 | 4 | no | — |
| 520 | C22×D3 | — | 24 | 4 | no | — |
| 521 | C22×D3 | — | 24 | 4 | no | — |
| 522 | C22×D3 | — | 24 | 4 | no | — |
| 523 | C22×D3 | — | 24 | 8 | no | — |
| 524 | C22×D3 | — | 24 | 16 | no | — |
| 525 | C22×D3 | — | 24 | 32 | no | — |
| 526 | C22×D3 | — | 24 | 8 | no | — |
| 527 | C3×D4 | — | 4 | 2 | no | — |
| 528 | C3×D4 | — | 4 | 2 | no | — |
| 529 | C3×D4 | — | 12 | 2 | no | — |
| 530 | C3×D4 | — | 12 | 2 | no | — |
| 531 | C3×D4 | — | 12 | 8 | no | — |
| 532 | C2×C3×C4 | — | 4 | 1 | no | — |
| 533 | C2×C3×C4 | — | 12 | 2 | no | — |
| 534 | C2×C3×C4 | — | 12 | 2 | no | — |
| 535 | C2×C3×C4 | — | 12 | 1 | no | — |
| 536 | #67 | — | 4 | 8 | no | — |
| 537 | #67 | — | 12 | 4 | no | — |
| 538 | #67 | — | 12 | 4 | no | — |
| 539 | #67 | — | 12 | 8 | no | — |
| 540 | #67 | — | 12 | 4 | no | — |
| 541 | #67 | — | 12 | 4 | no | — |
| 542 | C2×Dic3 | — | 4 | 1 | no | — |
| 543 | C2×Dic3 | — | 12 | 1 | no | — |
| 544 | C2×Dic3 | — | 12 | 2 | no | — |
| 545 | C2×Dic3 | — | 12 | 2 | no | — |
| 546 | D12 | — | 4 | 2 | no | — |
| 547 | D12 | — | 4 | 2 | no | — |
| 548 | D12 | — | 12 | 2 | no | — |
| 549 | D12 | — | 12 | 2 | no | — |
| 550 | D12 | — | 12 | 8 | no | — |
| 551 | C4×D3 | — | 4 | 2 | no | — |
| 552 | C4×D3 | — | 4 | 2 | no | — |
| 553 | C4×D3 | — | 12 | 1 | no | — |
| 554 | C4×D3 | — | 12 | 1 | no | — |
| 555 | C4×D3 | — | 12 | 1 | no | — |
| 556 | C4×D3 | — | 12 | 1 | no | — |
| 557 | C4×D3 | — | 12 | 2 | no | — |
| 558 | C4×D3 | — | 12 | 2 | no | — |
| 559 | C4×D3 | — | 12 | 2 | no | — |
| 560 | C4×D3 | — | 12 | 2 | no | — |
| 561 | C2×C32 | — | 2 | 1 | no | — |
| 562 | C2×C32 | — | 4 | 2 | no | — |
| 563 | C2×C32 | C2×#450 | 1 | 1 | yes | characteristic |
| 564 | C3⋊D3 | — | 2 | 1 | no | — |
| 565 | C3⋊D3 | — | 4 | 2 | no | — |
| 566 | C3⋊D3 | #3003 | 1 | 1 | yes | characteristic |
| 567 | C3⋊D3 | #3019 | 1 | 1 | yes | characteristic |
| 568 | C3×D3 | — | 4 | 4 | no | — |
| 569 | C3×D3 | — | 8 | 4 | no | — |
| 570 | C24 | — | 12 | 2 | no | — |
| 571 | C24 | — | 18 | 1 | no | — |
| 572 | C24 | — | 18 | 1 | no | — |
| 573 | C24 | — | 18 | 2 | no | — |
| 574 | C24 | — | 18 | 8 | no | — |
| 575 | C24 | — | 36 | 4 | no | — |
| 576 | C24 | — | 36 | 2 | no | — |
| 577 | C24 | — | 36 | 8 | no | — |
| 578 | C24 | — | 72 | 4 | no | — |
| 579 | C2×Q8 | — | 18 | 1 | no | — |
| 580 | C2×Q8 | — | 18 | 1 | no | — |
| 581 | C2×D4 | — | 9 | 2 | no | — |
| 582 | C2×D4 | — | 9 | 2 | no | — |
| 583 | C2×D4 | — | 9 | 2 | no | — |
| 584 | C2×D4 | — | 9 | 4 | no | — |
| 585 | C2×D4 | — | 9 | 1 | no | — |
| 586 | C2×D4 | — | 12 | 4 | no | — |
| 587 | C2×D4 | — | 12 | 2 | no | — |
| 588 | C2×D4 | — | 12 | 4 | no | — |
| 589 | C2×D4 | — | 12 | 1 | no | — |
| 590 | C2×D4 | — | 18 | 1 | no | — |
| 591 | C2×D4 | — | 18 | 1 | no | — |
| 592 | C2×D4 | — | 18 | 2 | no | — |
| 593 | C2×D4 | — | 18 | 2 | no | — |
| 594 | C2×D4 | — | 18 | 1 | no | — |
| 595 | C2×D4 | — | 18 | 1 | no | — |
| 596 | C2×D4 | — | 18 | 2 | no | — |
| 597 | C2×D4 | — | 18 | 2 | no | — |
| 598 | C2×D4 | — | 18 | 2 | no | — |
| 599 | C2×D4 | — | 18 | 4 | no | — |
| 600 | C2×D4 | — | 18 | 8 | no | — |
| 601 | C2×D4 | — | 18 | 8 | no | — |
| 602 | C2×D4 | — | 36 | 1 | no | — |
| 603 | C2×D4 | — | 36 | 1 | no | — |
| 604 | C2×D4 | — | 36 | 1 | no | — |
| 605 | C2×D4 | — | 36 | 4 | no | — |
| 606 | C2×D4 | — | 36 | 4 | no | — |
| 607 | C2×D4 | — | 36 | 2 | no | — |
| 608 | C2×D4 | — | 36 | 4 | no | — |
| 609 | C2×D4 | — | 36 | 8 | no | — |
| 610 | C2×D4 | — | 36 | 4 | no | — |
| 611 | C2×D4 | — | 36 | 8 | no | — |
| 612 | C2×D4 | — | 36 | 8 | no | — |
| 613 | C2×D4 | — | 36 | 8 | no | — |
| 614 | C2×D4 | — | 36 | 16 | no | — |
| 615 | C2×D4 | — | 36 | 8 | no | — |
| 616 | C2×D4 | — | 72 | 2 | no | — |
| 617 | C2×D4 | AΓL(1,𝔽9) | 1 | 1 | yes | characteristic, complemented |
| 618 | C22×C4 | — | 9 | 1 | no | — |
| 619 | C22×C4 | — | 9 | 1 | no | — |
| 620 | C22×C4 | — | 9 | 1 | no | — |
| 621 | C22×C4 | — | 12 | 1 | no | — |
| 622 | C22×C4 | — | 18 | 2 | no | — |
| 623 | C22×C4 | — | 18 | 2 | no | — |
| 624 | C22×C4 | — | 18 | 2 | no | — |
| 625 | C22×C4 | — | 18 | 2 | no | — |
| 626 | C22×C4 | — | 18 | 1 | no | — |
| 627 | C22×C4 | — | 18 | 1 | no | — |
| 628 | C22×C4 | — | 36 | 1 | no | — |
| 629 | C22×C4 | — | 36 | 1 | no | — |
| 630 | C22×C4 | — | 36 | 1 | no | — |
| 631 | C22×C4 | — | 36 | 4 | no | — |
| 632 | SD16 | — | 36 | 4 | no | — |
| 633 | SD16 | — | 72 | 4 | no | — |
| 634 | M16 | — | 36 | 1 | no | — |
| 635 | M16 | — | 36 | 1 | no | — |
| 636 | C2×C8 | — | 18 | 2 | no | — |
| 637 | C2×C8 | — | 18 | 2 | no | — |
| 638 | C2×C8 | — | 18 | 2 | no | — |
| 639 | C4⋊C4 | — | 9 | 2 | no | — |
| 640 | C4⋊C4 | — | 9 | 2 | no | — |
| 641 | C4⋊C4 | — | 18 | 1 | no | — |
| 642 | C4⋊C4 | — | 18 | 1 | no | — |
| 643 | C4⋊C4 | — | 18 | 1 | no | — |
| 644 | C4⋊C4 | — | 18 | 1 | no | — |
| 645 | C4⋊C4 | — | 18 | 1 | no | — |
| 646 | C4⋊C4 | — | 18 | 1 | no | — |
| 647 | C4⋊C4 | — | 36 | 1 | no | — |
| 648 | C4⋊C4 | — | 36 | 1 | no | — |
| 649 | C22⋊C4 | — | 18 | 2 | no | — |
| 650 | C22⋊C4 | — | 18 | 2 | no | — |
| 651 | C22⋊C4 | — | 18 | 2 | no | — |
| 652 | C22⋊C4 | — | 18 | 2 | no | — |
| 653 | C22⋊C4 | — | 18 | 8 | no | — |
| 654 | C22⋊C4 | — | 36 | 1 | no | — |
| 655 | C42 | — | 9 | 1 | no | — |
| 656 | C42 | — | 9 | 1 | no | — |
| 657 | C42 | — | 9 | 1 | no | — |
| 658 | C42 | — | 9 | 1 | no | — |
| 659 | C42 | — | 36 | 1 | no | — |
| 660 | C22×C3 | — | 4 | 4 | no | — |
| 661 | C22×C3 | — | 4 | 1 | no | — |
| 662 | C22×C3 | — | 8 | 4 | no | — |
| 663 | C22×C3 | — | 12 | 2 | no | — |
| 664 | C22×C3 | — | 12 | 4 | no | — |
| 665 | C22×C3 | — | 12 | 4 | no | — |
| 666 | C22×C3 | — | 24 | 4 | no | — |
| 667 | C22×C3 | — | 24 | 16 | no | — |
| 668 | C2×D3 | — | 4 | 2 | no | — |
| 669 | C2×D3 | — | 4 | 4 | no | — |
| 670 | C2×D3 | — | 4 | 4 | no | — |
| 671 | C2×D3 | — | 8 | 16 | no | — |
| 672 | C2×D3 | — | 8 | 4 | no | — |
| 673 | C2×D3 | — | 12 | 1 | no | — |
| 674 | C2×D3 | — | 12 | 1 | no | — |
| 675 | C2×D3 | — | 12 | 4 | no | — |
| 676 | C2×D3 | — | 12 | 2 | no | — |
| 677 | C2×D3 | — | 12 | 2 | no | — |
| 678 | C2×D3 | — | 12 | 4 | no | — |
| 679 | C2×D3 | — | 12 | 4 | no | — |
| 680 | C2×D3 | — | 12 | 8 | no | — |
| 681 | C2×D3 | — | 24 | 4 | no | — |
| 682 | C2×D3 | — | 24 | 4 | no | — |
| 683 | C2×D3 | — | 24 | 4 | no | — |
| 684 | C2×D3 | — | 24 | 4 | no | — |
| 685 | C2×D3 | — | 24 | 8 | no | — |
| 686 | C2×D3 | — | 24 | 4 | no | — |
| 687 | C2×D3 | — | 24 | 16 | no | — |
| 688 | C2×D3 | — | 24 | 8 | no | — |
| 689 | C2×D3 | — | 24 | 16 | no | — |
| 690 | C3×C4 | — | 4 | 1 | no | — |
| 691 | C3×C4 | — | 4 | 1 | no | — |
| 692 | C3×C4 | — | 12 | 2 | no | — |
| 693 | Dic3 | — | 4 | 2 | no | — |
| 694 | Dic3 | — | 12 | 1 | no | — |
| 695 | Dic3 | — | 12 | 1 | no | — |
| 696 | C32 | #18747 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 697 | C23 | — | 2 | 1 | no | — |
| 698 | C23 | — | 9 | 1 | no | — |
| 699 | C23 | — | 12 | 8 | no | — |
| 700 | C23 | — | 12 | 1 | no | — |
| 701 | C23 | — | 12 | 2 | no | — |
| 702 | C23 | — | 18 | 2 | no | — |
| 703 | C23 | — | 18 | 2 | no | — |
| 704 | C23 | — | 18 | 2 | no | — |
| 705 | C23 | — | 18 | 4 | no | — |
| 706 | C23 | — | 18 | 4 | no | — |
| 707 | C23 | — | 18 | 1 | no | — |
| 708 | C23 | — | 24 | 8 | no | — |
| 709 | C23 | — | 36 | 2 | no | — |
| 710 | C23 | — | 36 | 2 | no | — |
| 711 | C23 | — | 36 | 1 | no | — |
| 712 | C23 | — | 36 | 2 | no | — |
| 713 | C23 | — | 36 | 2 | no | — |
| 714 | C23 | — | 36 | 8 | no | — |
| 715 | C23 | — | 36 | 4 | no | — |
| 716 | C23 | — | 36 | 16 | no | — |
| 717 | C23 | — | 36 | 4 | no | — |
| 718 | C23 | — | 72 | 8 | no | — |
| 719 | C23 | — | 72 | 8 | no | — |
| 720 | C23 | — | 72 | 16 | no | — |
| 721 | Q8 | — | 36 | 2 | no | — |
| 722 | Q8 | — | 36 | 2 | no | — |
| 723 | D4 | — | 2 | 1 | no | — |
| 724 | D4 | — | 9 | 4 | no | — |
| 725 | D4 | — | 9 | 2 | no | — |
| 726 | D4 | — | 12 | 8 | no | — |
| 727 | D4 | — | 12 | 2 | no | — |
| 728 | D4 | — | 12 | 2 | no | — |
| 729 | D4 | — | 18 | 2 | no | — |
| 730 | D4 | — | 18 | 2 | no | — |
| 731 | D4 | — | 18 | 2 | no | — |
| 732 | D4 | — | 18 | 4 | no | — |
| 733 | D4 | — | 18 | 1 | no | — |
| 734 | D4 | — | 36 | 2 | no | — |
| 735 | D4 | — | 36 | 2 | no | — |
| 736 | D4 | — | 36 | 4 | no | — |
| 737 | D4 | — | 36 | 8 | no | — |
| 738 | D4 | — | 36 | 4 | no | — |
| 739 | D4 | — | 36 | 4 | no | — |
| 740 | D4 | — | 36 | 16 | no | — |
| 741 | D4 | — | 72 | 2 | no | — |
| 742 | D4 | C2×AΓL(1,𝔽9) | 1 | 2 | yes | — |
| 743 | C2×C4 | — | 9 | 1 | no | — |
| 744 | C2×C4 | — | 9 | 1 | no | — |
| 745 | C2×C4 | — | 9 | 1 | no | — |
| 746 | C2×C4 | — | 9 | 1 | no | — |
| 747 | C2×C4 | — | 9 | 1 | no | — |
| 748 | C2×C4 | — | 9 | 1 | no | — |
| 749 | C2×C4 | — | 9 | 1 | no | — |
| 750 | C2×C4 | — | 9 | 1 | no | — |
| 751 | C2×C4 | — | 9 | 1 | no | — |
| 752 | C2×C4 | — | 12 | 1 | no | — |
| 753 | C2×C4 | — | 12 | 2 | no | — |
| 754 | C2×C4 | — | 12 | 2 | no | — |
| 755 | C2×C4 | — | 18 | 2 | no | — |
| 756 | C2×C4 | — | 18 | 2 | no | — |
| 757 | C2×C4 | — | 18 | 2 | no | — |
| 758 | C2×C4 | — | 36 | 2 | no | — |
| 759 | C2×C4 | — | 36 | 2 | no | — |
| 760 | C2×C4 | — | 36 | 4 | no | — |
| 761 | C2×C4 | — | 36 | 1 | no | — |
| 762 | C2×C4 | — | 36 | 1 | no | — |
| 763 | C2×C4 | — | 36 | 4 | no | — |
| 764 | C2×C4 | — | 36 | 2 | no | — |
| 765 | C2×C4 | — | 36 | 1 | no | — |
| 766 | C2×C4 | — | 36 | 1 | no | — |
| 767 | C2×C4 | C2×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic |
| 768 | C8 | — | 36 | 2 | no | — |
| 769 | C8 | — | 36 | 2 | no | — |
| 770 | C8 | — | 36 | 2 | no | — |
| 771 | C2×C3 | — | 4 | 2 | no | — |
| 772 | C2×C3 | — | 4 | 1 | no | — |
| 773 | C2×C3 | — | 8 | 4 | no | — |
| 774 | C2×C3 | — | 12 | 4 | no | — |
| 775 | C2×C3 | — | 24 | 4 | no | — |
| 776 | D3 | — | 4 | 4 | no | — |
| 777 | D3 | — | 8 | 4 | no | — |
| 778 | D3 | — | 12 | 1 | no | — |
| 779 | D3 | — | 12 | 1 | no | — |
| 780 | D3 | — | 12 | 2 | no | — |
| 781 | D3 | — | 24 | 4 | no | — |
| 782 | C22 | — | 2 | 2 | no | — |
| 783 | C22 | — | 4 | 2 | no | — |
| 784 | C22 | — | 9 | 1 | no | — |
| 785 | C22 | — | 9 | 1 | no | — |
| 786 | C22 | — | 12 | 4 | no | — |
| 787 | C22 | — | 12 | 2 | no | — |
| 788 | C22 | — | 12 | 4 | no | — |
| 789 | C22 | — | 18 | 1 | no | — |
| 790 | C22 | — | 18 | 1 | no | — |
| 791 | C22 | — | 18 | 4 | no | — |
| 792 | C22 | — | 18 | 2 | no | — |
| 793 | C22 | — | 24 | 4 | no | — |
| 794 | C22 | — | 24 | 16 | no | — |
| 795 | C22 | — | 36 | 2 | no | — |
| 796 | C22 | — | 36 | 2 | no | — |
| 797 | C22 | — | 36 | 2 | no | — |
| 798 | C22 | — | 36 | 4 | no | — |
| 799 | C22 | — | 36 | 2 | no | — |
| 800 | C22 | — | 36 | 4 | no | — |
| 801 | C22 | — | 36 | 4 | no | — |
| 802 | C22 | — | 36 | 4 | no | — |
| 803 | C22 | — | 72 | 16 | no | — |
| 804 | C22 | — | 72 | 4 | no | — |
| 805 | C22 | #10596417 | 1 | 1 | yes | characteristic |
| 806 | C4 | — | 9 | 2 | no | — |
| 807 | C4 | — | 9 | 1 | no | — |
| 808 | C4 | — | 9 | 1 | no | — |
| 809 | C4 | — | 12 | 2 | no | — |
| 810 | C4 | — | 18 | 1 | no | — |
| 811 | C4 | — | 18 | 1 | no | — |
| 812 | C4 | — | 18 | 1 | no | — |
| 813 | C4 | — | 36 | 2 | no | — |
| 814 | C4 | — | 72 | 1 | no | — |
| 815 | C4 | — | 72 | 1 | no | — |
| 816 | C4 | #10596417 | 1 | 1 | yes | characteristic |
| 817 | C4 | C22×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic |
| 818 | C3 | — | 4 | 1 | no | — |
| 819 | C2 | — | 2 | 1 | no | — |
| 820 | C2 | — | 4 | 2 | no | — |
| 821 | C2 | — | 9 | 1 | no | — |
| 822 | C2 | — | 9 | 1 | no | — |
| 823 | C2 | — | 12 | 4 | no | — |
| 824 | C2 | — | 18 | 1 | no | — |
| 825 | C2 | — | 24 | 4 | no | — |
| 826 | C2 | — | 36 | 2 | no | — |
| 827 | C2 | C2×#10596417 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11878873 | C2 | semidirect |
| 3. #11870539 | C2 | semidirect |
| 4. #11868704 | C2 | semidirect |
| 5. #11779747 | C2 | semidirect |
| 6. GO+(4,𝔽2)⋊SD16 | C2 | semidirect |
| 7. #11776279 | C2 | semidirect |
| 8. GO+(4,𝔽2)⋊M16 | C2 | semidirect |
| 9. #11774320 | C2 | semidirect |
| 13. #10596542 | C22 | semidirect |
| 23. #10596484 | C22 | semidirect |
| 24. #10596484 | C22 | semidirect |
| 29. #10596409 | C22 | semidirect |
| 30. #10596408 | C22 | semidirect |
| 32. GO+(4,𝔽2)⋊Q8 | C22 | semidirect |
| 33. #10596402 | C22 | semidirect |
| 35. #10593559 | C22 | semidirect |
| 36. #10593558 | C22 | semidirect |
| 39. #10593539 | C22 | semidirect |
| 40. D4⋊AGL(1,𝔽9) | C22 | semidirect |
| 41. #10593155 | C22 | semidirect |
| 42. GO+(4,𝔽2)⋊C8 | C22 | semidirect |
| 76. C4⋊PSU(3,𝔽2) | C23 | semidirect |
| 77. C4⋊PSU(3,𝔽2) | C23 | semidirect |
| 101. C4⋊AGL(1,𝔽9) | C23 | semidirect |
| 103. C4×AGL(1,𝔽9) | C23 | semidirect |
| 113. #63744 | C23 | semidirect |
| 151. C2×C32×D4 | SD16 | semidirect |
| 155. D4×C3⋊D3 | SD16 | semidirect |
| 157. C2×C4⋊(C3⋊D3) | SD16 | semidirect |
| 617. C2×D4 | AΓL(1,𝔽9) | semidirect |
| 696. C32 | #18747 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×GO+(4,𝔽2) | 2 |
| #11878873 | 2 |
| #11870539 | 2 |
| #11868704 | 2 |
| #11779747 | 2 |
| GO+(4,𝔽2)⋊SD16 | 2 |
| #11776279 | 2 |
| GO+(4,𝔽2)⋊M16 | 2 |
| #11774320 | 2 |
| #18747 | 9 |