Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
2559 conjugacy classes of subgroups.
The subgroup lattice has 753 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11906400 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #41×GO+(4,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11898332 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #11895192 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11887585 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | D4×AΓL(1,𝔽9) | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #11882286 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #11878740 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #11870539 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | C2×#10596409 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #11862930 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C22×AΓL(1,𝔽9) | C22 | 1 | 6 | yes | — |
| 13 | D32×#41 | — | 2 | 1 | no | — |
| 14 | #10596650 | — | 2 | 1 | no | — |
| 15 | #41×#157 | C22 | 1 | 1 | yes | characteristic |
| 16 | #10596547 | C22 | 1 | 2 | yes | complemented |
| 17 | Q8×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 18 | #10596545 | — | 2 | 3 | no | — |
| 19 | D4×PSU(3,𝔽2) | C22 | 1 | 6 | yes | complemented |
| 20 | #10596543 | — | 2 | 3 | no | — |
| 21 | #10596542 | C22 | 1 | 3 | yes | complemented |
| 22 | C2×C4⋊PSU(3,𝔽2) | C22 | 1 | 3 | yes | complemented |
| 23 | #10596525 | C22 | 1 | 1 | yes | characteristic |
| 24 | #10596524 | — | 2 | 1 | no | — |
| 25 | Q8×GO+(4,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 26 | #10596519 | C22 | 1 | 3 | yes | — |
| 27 | #10596518 | — | 2 | 3 | no | — |
| 28 | D4×GO+(4,𝔽2) | C22 | 1 | 3 | yes | — |
| 29 | #10596511 | C22 | 1 | 3 | yes | — |
| 30 | #10596510 | — | 2 | 3 | no | — |
| 31 | C2×C4×GO+(4,𝔽2) | C22 | 1 | 3 | yes | — |
| 32 | Q8×AGL(1,𝔽9) | C22 | 1 | 2 | yes | complemented |
| 33 | D4×AGL(1,𝔽9) | C22 | 1 | 6 | yes | complemented |
| 34 | #10596484 | C22 | 1 | 3 | yes | complemented |
| 35 | C2×C4⋊AGL(1,𝔽9) | C22 | 1 | 3 | yes | complemented |
| 36 | #10596418 | C22 | 1 | 12 | yes | complemented |
| 37 | #10596417 | C22 | 1 | 6 | yes | — |
| 38 | #10596416 | C22 | 1 | 12 | yes | complemented |
| 39 | #10596415 | C22 | 1 | 6 | yes | complemented |
| 40 | C2×PSU(3,𝔽2)⋊C4 | C22 | 1 | 6 | yes | complemented |
| 41 | #10596410 | C22 | 1 | 6 | yes | complemented |
| 42 | #10596409 | C22 | 1 | 3 | yes | — |
| 43 | #10596409 | C22 | 1 | 6 | yes | — |
| 44 | #10596409 | C22 | 1 | 6 | yes | complemented |
| 45 | #10596409 | C22 | 1 | 3 | yes | complemented |
| 46 | #10596409 | C22 | 1 | 6 | yes | complemented |
| 47 | #10596408 | C22 | 1 | 6 | yes | complemented |
| 48 | C4×AΓL(1,𝔽9) | C22 | 1 | 6 | yes | — |
| 49 | C4×AΓL(1,𝔽9) | C22 | 1 | 6 | yes | complemented |
| 50 | PSU(3,𝔽2)⋊Q8 | C22 | 1 | 6 | yes | complemented |
| 51 | #10596404 | C22 | 1 | 6 | yes | complemented |
| 52 | GO+(4,𝔽2)⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 53 | GO+(4,𝔽2)⋊Q8 | C22 | 1 | 3 | yes | complemented |
| 54 | C22×PSU(3,𝔽2) | C23 | 1 | 6 | yes | — |
| 55 | C22×GO+(4,𝔽2) | C23 | 1 | 3 | yes | — |
| 56 | C22×AGL(1,𝔽9) | C23 | 1 | 6 | yes | — |
| 57 | C2×AΓL(1,𝔽9) | — | 4 | 12 | no | — |
| 58 | C2×AΓL(1,𝔽9) | C23 | 1 | 6 | yes | — |
| 59 | C2×AΓL(1,𝔽9) | C23 | 1 | 6 | yes | — |
| 60 | C2×AΓL(1,𝔽9) | C23 | 1 | 12 | yes | — |
| 61 | #41×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 62 | C3×D3×#41 | — | 4 | 1 | no | — |
| 63 | #64319 | — | 2 | 1 | no | — |
| 64 | D3×#239 | — | 4 | 1 | no | — |
| 65 | D32×Q8 | — | 2 | 1 | no | — |
| 66 | #64312 | — | 2 | 3 | no | — |
| 67 | D3×#237 | — | 4 | 3 | no | — |
| 68 | D32×D4 | — | 2 | 3 | no | — |
| 69 | #64306 | — | 2 | 3 | no | — |
| 70 | D3×#235 | — | 4 | 3 | no | — |
| 71 | C2×C4×D32 | — | 2 | 3 | no | — |
| 72 | Q8×#157 | — | 2 | 2 | no | — |
| 73 | Q8×#157 | D4 | 1 | 1 | yes | characteristic |
| 74 | Q8×#157 | C23 | 1 | 1 | yes | characteristic |
| 75 | D4×#157 | — | 2 | 6 | no | — |
| 76 | D4×#157 | D4 | 1 | 3 | yes | — |
| 77 | D4×#157 | C23 | 1 | 3 | yes | — |
| 78 | #64286 | — | 2 | 3 | no | — |
| 79 | #64286 | D4 | 1 | 3 | yes | — |
| 80 | C2×C4⋊#157 | — | 2 | 3 | no | — |
| 81 | C2×C4×#157 | C23 | 1 | 3 | yes | — |
| 82 | C22⋊PSU(3,𝔽2) | — | 2 | 12 | no | — |
| 83 | C22⋊PSU(3,𝔽2) | — | 2 | 3 | no | — |
| 84 | C22⋊PSU(3,𝔽2) | C23 | 1 | 6 | yes | — |
| 85 | C2×#3777 | — | 2 | 3 | no | — |
| 86 | C4⋊PSU(3,𝔽2) | — | 2 | 6 | no | — |
| 87 | C4⋊PSU(3,𝔽2) | — | 2 | 3 | no | — |
| 88 | C4⋊PSU(3,𝔽2) | — | 2 | 3 | no | — |
| 89 | C4⋊PSU(3,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 90 | C4⋊PSU(3,𝔽2) | C23 | 1 | 6 | yes | — |
| 91 | C4⋊PSU(3,𝔽2) | C23 | 1 | 3 | yes | — |
| 92 | C4×PSU(3,𝔽2) | — | 2 | 3 | no | — |
| 93 | C4×PSU(3,𝔽2) | C23 | 1 | 6 | yes | — |
| 94 | #64243 | — | 2 | 6 | no | — |
| 95 | #64243 | — | 2 | 3 | no | — |
| 96 | #64242 | — | 2 | 3 | no | — |
| 97 | #64242 | C23 | 1 | 6 | yes | — |
| 98 | #64241 | — | 2 | 6 | no | — |
| 99 | C2×#3773 | C23 | 1 | 3 | yes | — |
| 100 | #64233 | — | 2 | 6 | no | — |
| 101 | C2×D32⋊C4 | — | 2 | 3 | no | — |
| 102 | #64231 | C23 | 1 | 3 | yes | — |
| 103 | #64230 | — | 2 | 3 | no | — |
| 104 | #64230 | — | 2 | 3 | no | — |
| 105 | C4×GO+(4,𝔽2) | — | 2 | 3 | no | — |
| 106 | C4×GO+(4,𝔽2) | — | 2 | 3 | no | — |
| 107 | C4×GO+(4,𝔽2) | — | 2 | 3 | no | — |
| 108 | C4×GO+(4,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 109 | C4×GO+(4,𝔽2) | C23 | 1 | 3 | yes | — |
| 110 | C4×GO+(4,𝔽2) | C23 | 1 | 3 | yes | — |
| 111 | C4×GO+(4,𝔽2) | C23 | 1 | 3 | yes | — |
| 112 | #64222 | C23 | 1 | 3 | yes | — |
| 113 | #64221 | — | 2 | 3 | no | — |
| 114 | D32⋊Q8 | — | 2 | 3 | no | — |
| 115 | D32⋊Q8 | — | 2 | 3 | no | — |
| 116 | C22⋊AGL(1,𝔽9) | C23 | 1 | 6 | yes | — |
| 117 | C4⋊AGL(1,𝔽9) | C23 | 1 | 1 | yes | characteristic |
| 118 | C4⋊AGL(1,𝔽9) | C23 | 1 | 3 | yes | — |
| 119 | C4⋊AGL(1,𝔽9) | C23 | 1 | 6 | yes | — |
| 120 | C4×AGL(1,𝔽9) | C23 | 1 | 6 | yes | — |
| 121 | AGL(1,𝔽9)⋊C4 | C23 | 1 | 2 | yes | — |
| 122 | AGL(1,𝔽9)⋊C4 | C23 | 1 | 6 | yes | — |
| 123 | PSU(3,𝔽2)⋊C4 | C23 | 1 | 6 | yes | — |
| 124 | PSU(3,𝔽2)⋊C4 | C23 | 1 | 12 | yes | — |
| 125 | PSU(3,𝔽2)⋊C4 | C23 | 1 | 6 | yes | — |
| 126 | GO+(4,𝔽2)⋊C4 | C23 | 1 | 2 | yes | — |
| 127 | GO+(4,𝔽2)⋊C4 | C23 | 1 | 6 | yes | — |
| 128 | #61948 | — | 9 | 1 | no | maximal, Sylow |
| 129 | C2×D3×#41 | — | 12 | 1 | no | — |
| 130 | C22×D32 | — | 2 | 3 | no | — |
| 131 | C22×#157 | — | 2 | 6 | no | — |
| 132 | C22×#157 | C2×D4 | 1 | 3 | yes | — |
| 133 | C22×#157 | C24 | 1 | 3 | yes | — |
| 134 | C2×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 135 | C2×PSU(3,𝔽2) | — | 2 | 6 | no | — |
| 136 | C2×PSU(3,𝔽2) | — | 4 | 6 | no | — |
| 137 | C2×PSU(3,𝔽2) | — | 4 | 6 | no | — |
| 138 | C2×PSU(3,𝔽2) | C24 | 1 | 6 | yes | — |
| 139 | C2×GO+(4,𝔽2) | — | 2 | 6 | no | — |
| 140 | C2×GO+(4,𝔽2) | — | 2 | 3 | no | — |
| 141 | C2×GO+(4,𝔽2) | — | 2 | 3 | no | — |
| 142 | C2×GO+(4,𝔽2) | — | 4 | 3 | no | — |
| 143 | C2×GO+(4,𝔽2) | C24 | 1 | 3 | yes | — |
| 144 | C2×GO+(4,𝔽2) | C24 | 1 | 1 | yes | characteristic |
| 145 | C2×AGL(1,𝔽9) | — | 4 | 6 | no | — |
| 146 | C2×AGL(1,𝔽9) | C24 | 1 | 6 | yes | — |
| 147 | C2×AGL(1,𝔽9) | C24 | 1 | 2 | yes | — |
| 148 | AΓL(1,𝔽9) | — | 2 | 12 | no | — |
| 149 | AΓL(1,𝔽9) | — | 4 | 12 | no | — |
| 150 | AΓL(1,𝔽9) | — | 4 | 6 | no | — |
| 151 | C32×#41 | SD16 | 1 | 1 | yes | characteristic, complemented |
| 152 | #3832 | SD16 | 1 | 1 | yes | characteristic, complemented |
| 153 | Q8×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 154 | #3830 | SD16 | 1 | 3 | yes | complemented |
| 155 | D4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 156 | #3828 | SD16 | 1 | 3 | yes | complemented |
| 157 | C2×C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 158 | C3×#239 | — | 4 | 1 | no | — |
| 159 | C3×D3×Q8 | — | 4 | 1 | no | — |
| 160 | C3×#237 | — | 4 | 3 | no | — |
| 161 | C3×D3×D4 | — | 4 | 3 | no | — |
| 162 | C3×#235 | — | 4 | 3 | no | — |
| 163 | C2×C3×C4×D3 | — | 4 | 3 | no | — |
| 164 | #3811 | — | 2 | 6 | no | — |
| 165 | D3×#67 | — | 4 | 6 | no | — |
| 166 | C2×#624 | — | 2 | 3 | no | — |
| 167 | #3805 | — | 4 | 3 | no | — |
| 168 | #3804 | — | 4 | 6 | no | — |
| 169 | C2×D3×Dic3 | — | 4 | 3 | no | — |
| 170 | #3802 | — | 2 | 3 | no | — |
| 171 | D3×D12 | — | 4 | 3 | no | — |
| 172 | C4×D32 | — | 2 | 1 | no | — |
| 173 | C4×D32 | — | 2 | 3 | no | — |
| 174 | C4×D32 | — | 2 | 3 | no | — |
| 175 | C4×D32 | — | 2 | 3 | no | — |
| 176 | C4×D32 | — | 4 | 3 | no | — |
| 177 | C4×D32 | — | 4 | 3 | no | — |
| 178 | #3799 | — | 4 | 3 | no | — |
| 179 | #3798 | — | 4 | 3 | no | — |
| 180 | #3797 | — | 2 | 3 | no | — |
| 181 | #3796 | — | 4 | 3 | no | — |
| 182 | #3795 | — | 4 | 3 | no | — |
| 183 | D3×Dic6 | — | 4 | 3 | no | — |
| 184 | C22⋊#157 | — | 2 | 6 | no | — |
| 185 | C22⋊#157 | C2×D4 | 1 | 6 | yes | — |
| 186 | C4⋊#157 | — | 2 | 3 | no | — |
| 187 | C4⋊#157 | — | 2 | 6 | no | — |
| 188 | C4⋊#157 | — | 2 | 1 | no | — |
| 189 | C4⋊#157 | C2×D4 | 1 | 3 | yes | — |
| 190 | C4⋊#157 | C2×D4 | 1 | 3 | yes | — |
| 191 | C4×#157 | — | 2 | 6 | no | — |
| 192 | C4×#157 | C2×D4 | 1 | 3 | yes | — |
| 193 | C4×#157 | C2×D4 | 1 | 3 | yes | — |
| 194 | C4×#157 | C24 | 1 | 1 | yes | characteristic |
| 195 | C4×#157 | C24 | 1 | 3 | yes | — |
| 196 | #3777 | — | 2 | 6 | no | — |
| 197 | #3777 | — | 2 | 6 | no | — |
| 198 | #3777 | — | 2 | 6 | no | — |
| 199 | #3777 | — | 2 | 3 | no | — |
| 200 | #3777 | C24 | 1 | 2 | yes | — |
| 201 | #3773 | — | 2 | 3 | no | — |
| 202 | #3773 | — | 2 | 3 | no | — |
| 203 | #3773 | C24 | 1 | 3 | yes | — |
| 204 | #3773 | C24 | 1 | 1 | yes | characteristic |
| 205 | D32⋊C4 | — | 2 | 3 | no | — |
| 206 | D32⋊C4 | — | 2 | 6 | no | — |
| 207 | D32⋊C4 | — | 2 | 3 | no | — |
| 208 | D32⋊C4 | — | 2 | 1 | no | — |
| 209 | D32⋊C4 | — | 2 | 3 | no | — |
| 210 | #3503 | — | 9 | 1 | no | — |
| 211 | D4×#41 | — | 9 | 1 | no | — |
| 212 | #3392 | — | 9 | 2 | no | — |
| 213 | #3359 | — | 9 | 2 | no | — |
| 214 | #3298 | — | 9 | 6 | no | — |
| 215 | D4×SD16 | — | 9 | 6 | no | — |
| 216 | #3246 | — | 9 | 3 | no | — |
| 217 | #3206 | — | 9 | 3 | no | — |
| 218 | #3101 | — | 9 | 3 | no | — |
| 219 | C2×#461 | — | 9 | 3 | no | — |
| 220 | #2988 | — | 9 | 1 | no | — |
| 221 | C2×C3×#41 | — | 12 | 1 | no | — |
| 222 | D3×#41 | — | 4 | 1 | no | — |
| 223 | D3×#41 | — | 12 | 1 | no | — |
| 224 | D3×#41 | — | 12 | 3 | no | — |
| 225 | D3×#41 | — | 12 | 3 | no | — |
| 226 | D3×#41 | — | 12 | 1 | no | — |
| 227 | D3×#41 | — | 12 | 3 | no | — |
| 228 | D3×#41 | — | 12 | 3 | no | — |
| 229 | D3×#41 | — | 12 | 1 | no | — |
| 230 | C2×#239 | — | 12 | 1 | no | — |
| 231 | C2×D3×Q8 | — | 12 | 1 | no | — |
| 232 | C2×#237 | — | 12 | 3 | no | — |
| 233 | C2×D3×D4 | — | 12 | 3 | no | — |
| 234 | C2×#235 | — | 12 | 3 | no | — |
| 235 | C22×C4×D3 | — | 12 | 3 | no | — |
| 236 | C22×C3⋊D3 | C22×D4 | 1 | 3 | yes | — |
| 237 | C22×C3×D3 | — | 4 | 3 | no | — |
| 238 | C2×D32 | — | 2 | 1 | no | — |
| 239 | C2×D32 | — | 2 | 3 | no | — |
| 240 | C2×D32 | — | 4 | 3 | no | — |
| 241 | C2×D32 | — | 4 | 6 | no | — |
| 242 | C2×D32 | — | 8 | 3 | no | — |
| 243 | C2×#157 | — | 2 | 3 | no | — |
| 244 | C2×#157 | — | 2 | 3 | no | — |
| 245 | C2×#157 | — | 2 | 6 | no | — |
| 246 | C2×#157 | — | 2 | 2 | no | — |
| 247 | C2×#157 | — | 4 | 3 | no | — |
| 248 | C2×#157 | — | 8 | 6 | no | — |
| 249 | C2×#157 | C22×D4 | 1 | 3 | yes | — |
| 250 | C2×#157 | C22×D4 | 1 | 3 | yes | — |
| 251 | C2×#157 | C22×D4 | 1 | 1 | yes | characteristic |
| 252 | C2×#157 | C25 | 1 | 1 | yes | characteristic |
| 253 | PSU(3,𝔽2) | — | 2 | 6 | no | — |
| 254 | PSU(3,𝔽2) | — | 2 | 6 | no | — |
| 255 | PSU(3,𝔽2) | — | 4 | 2 | no | — |
| 256 | PSU(3,𝔽2) | — | 8 | 6 | no | — |
| 257 | GO+(4,𝔽2) | — | 2 | 3 | no | — |
| 258 | GO+(4,𝔽2) | — | 2 | 1 | no | — |
| 259 | GO+(4,𝔽2) | — | 2 | 3 | no | — |
| 260 | GO+(4,𝔽2) | — | 4 | 6 | no | — |
| 261 | GO+(4,𝔽2) | — | 8 | 3 | no | — |
| 262 | GO+(4,𝔽2) | H(5,𝔽2) | 1 | 2 | yes | — |
| 263 | AGL(1,𝔽9) | — | 2 | 6 | no | — |
| 264 | AGL(1,𝔽9) | — | 2 | 2 | no | — |
| 265 | C32×Q8 | C2×SD16 | 1 | 1 | yes | characteristic, complemented |
| 266 | C32×D4 | C2×SD16 | 1 | 3 | yes | complemented |
| 267 | C2×C32×C4 | C2×SD16 | 1 | 3 | yes | complemented |
| 268 | #638 | C2×SD16 | 1 | 6 | yes | complemented |
| 269 | C2×C3⋊Dic3 | C2×SD16 | 1 | 3 | yes | complemented |
| 270 | C4⋊(C3⋊D3) | C2×SD16 | 1 | 3 | yes | complemented |
| 271 | C4×C3⋊D3 | C2×SD16 | 1 | 3 | yes | complemented |
| 272 | C4×C3⋊D3 | C2×SD16 | 1 | 3 | yes | complemented |
| 273 | C4×C3⋊D3 | C22×D4 | 1 | 3 | yes | — |
| 274 | C4×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 275 | #634 | C2×SD16 | 1 | 3 | yes | complemented |
| 276 | C3×#67 | — | 4 | 6 | no | — |
| 277 | C2×C3×Dic3 | — | 4 | 3 | no | — |
| 278 | C3×D12 | — | 4 | 3 | no | — |
| 279 | C3×C4×D3 | — | 4 | 3 | no | — |
| 280 | C3×C4×D3 | — | 4 | 3 | no | — |
| 281 | C3×C4×D3 | — | 4 | 3 | no | — |
| 282 | C3×C4×D3 | — | 4 | 1 | no | — |
| 283 | C3×Dic6 | — | 4 | 3 | no | — |
| 284 | #627 | — | 4 | 3 | no | — |
| 285 | #626 | — | 4 | 6 | no | — |
| 286 | #625 | — | 4 | 3 | no | — |
| 287 | #624 | — | 2 | 3 | no | — |
| 288 | #624 | — | 2 | 1 | no | — |
| 289 | #624 | — | 4 | 3 | no | — |
| 290 | D3×Dic3 | — | 4 | 3 | no | — |
| 291 | D3×Dic3 | — | 4 | 3 | no | — |
| 292 | D3×Dic3 | — | 4 | 3 | no | — |
| 293 | D3×Dic3 | — | 4 | 1 | no | — |
| 294 | C22×#41 | — | 18 | 1 | no | — |
| 295 | C22×SD16 | — | 9 | 6 | no | — |
| 296 | Q82 | — | 18 | 1 | no | — |
| 297 | #557 | — | 9 | 2 | no | — |
| 298 | #554 | — | 18 | 3 | no | — |
| 299 | #550 | — | 9 | 1 | no | — |
| 300 | D4×Q8 | — | 9 | 1 | no | — |
| 301 | D4×Q8 | — | 9 | 6 | no | — |
| 302 | #548 | — | 18 | 1 | no | — |
| 303 | #547 | — | 9 | 3 | no | — |
| 304 | #546 | — | 18 | 3 | no | — |
| 305 | D42 | — | 9 | 3 | no | — |
| 306 | #544 | — | 18 | 3 | no | — |
| 307 | #533 | — | 9 | 3 | no | — |
| 308 | #532 | — | 9 | 3 | no | — |
| 309 | C2×C4⋊Q8 | — | 9 | 3 | no | — |
| 310 | #525 | — | 18 | 3 | no | — |
| 311 | #520 | — | 18 | 1 | no | — |
| 312 | C4×#41 | — | 9 | 1 | no | — |
| 313 | C2×C4×D4 | — | 9 | 3 | no | — |
| 314 | #492 | — | 9 | 6 | no | — |
| 315 | #487 | — | 9 | 6 | no | — |
| 316 | #483 | — | 9 | 6 | no | — |
| 317 | #476 | — | 9 | 1 | no | — |
| 318 | #476 | — | 9 | 3 | no | — |
| 319 | #475 | — | 9 | 6 | no | — |
| 320 | #465 | — | 9 | 12 | no | — |
| 321 | #461 | — | 9 | 3 | no | — |
| 322 | #461 | — | 9 | 3 | no | — |
| 323 | #461 | — | 9 | 6 | no | — |
| 324 | #461 | — | 9 | 6 | no | — |
| 325 | #461 | — | 9 | 6 | no | — |
| 326 | #460 | — | 9 | 6 | no | — |
| 327 | #450 | — | 9 | 6 | no | — |
| 328 | #448 | — | 9 | 12 | no | — |
| 329 | C8×Q8 | — | 9 | 2 | no | — |
| 330 | C4×SD16 | — | 9 | 6 | no | — |
| 331 | C4×SD16 | — | 9 | 6 | no | — |
| 332 | C8×D4 | — | 9 | 6 | no | — |
| 333 | #431 | — | 9 | 3 | no | — |
| 334 | C2×C4⋊C8 | — | 9 | 3 | no | — |
| 335 | C2×#103 | — | 9 | 6 | no | — |
| 336 | C23×D3 | — | 12 | 3 | no | — |
| 337 | C3×#41 | — | 4 | 1 | no | — |
| 338 | C3×#41 | — | 12 | 3 | no | — |
| 339 | C3×#41 | — | 12 | 3 | no | — |
| 340 | C3×#41 | — | 12 | 1 | no | — |
| 341 | C2×C3×Q8 | — | 12 | 1 | no | — |
| 342 | C2×C3×D4 | — | 12 | 3 | no | — |
| 343 | C22×C3×C4 | — | 12 | 3 | no | — |
| 344 | C2×#67 | — | 12 | 6 | no | — |
| 345 | C22×Dic3 | — | 12 | 3 | no | — |
| 346 | #239 | — | 4 | 1 | no | — |
| 347 | #239 | — | 12 | 1 | no | — |
| 348 | #239 | — | 12 | 3 | no | — |
| 349 | #239 | — | 12 | 3 | no | — |
| 350 | D3×Q8 | — | 4 | 1 | no | — |
| 351 | D3×Q8 | — | 12 | 1 | no | — |
| 352 | D3×Q8 | — | 12 | 3 | no | — |
| 353 | D3×Q8 | — | 12 | 3 | no | — |
| 354 | #237 | — | 4 | 3 | no | — |
| 355 | #237 | — | 12 | 3 | no | — |
| 356 | #237 | — | 12 | 3 | no | — |
| 357 | #237 | — | 12 | 3 | no | — |
| 358 | #237 | — | 12 | 6 | no | — |
| 359 | #237 | — | 12 | 6 | no | — |
| 360 | D3×D4 | — | 4 | 3 | no | — |
| 361 | D3×D4 | — | 12 | 3 | no | — |
| 362 | D3×D4 | — | 12 | 3 | no | — |
| 363 | D3×D4 | — | 12 | 6 | no | — |
| 364 | D3×D4 | — | 12 | 3 | no | — |
| 365 | D3×D4 | — | 12 | 6 | no | — |
| 366 | #235 | — | 4 | 3 | no | — |
| 367 | #235 | — | 12 | 3 | no | — |
| 368 | #235 | — | 12 | 3 | no | — |
| 369 | #235 | — | 12 | 6 | no | — |
| 370 | #235 | — | 12 | 3 | no | — |
| 371 | #235 | — | 12 | 6 | no | — |
| 372 | C2×D12 | — | 12 | 3 | no | — |
| 373 | C2×C4×D3 | — | 4 | 3 | no | — |
| 374 | C2×C4×D3 | — | 12 | 3 | no | — |
| 375 | C2×C4×D3 | — | 12 | 1 | no | — |
| 376 | C2×C4×D3 | — | 12 | 3 | no | — |
| 377 | C2×C4×D3 | — | 12 | 3 | no | — |
| 378 | C2×C4×D3 | — | 12 | 3 | no | — |
| 379 | C2×C4×D3 | — | 12 | 3 | no | — |
| 380 | C2×C4×D3 | — | 12 | 3 | no | — |
| 381 | C2×C4×D3 | — | 12 | 3 | no | — |
| 382 | C2×C4×D3 | — | 12 | 3 | no | — |
| 383 | C2×C4×D3 | — | 12 | 3 | no | — |
| 384 | C2×C4×D3 | — | 12 | 3 | no | — |
| 385 | C2×Dic6 | — | 12 | 3 | no | — |
| 386 | C22×C32 | C22×SD16 | 1 | 3 | yes | — |
| 387 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 388 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 389 | C2×C3⋊D3 | C22×SD16 | 1 | 3 | yes | — |
| 390 | C2×C3⋊D3 | C23×D4 | 1 | 1 | yes | characteristic |
| 391 | C2×C3×D3 | — | 4 | 1 | no | — |
| 392 | C2×C3×D3 | — | 4 | 3 | no | — |
| 393 | C2×C3×D3 | — | 8 | 6 | no | — |
| 394 | D32 | — | 2 | 2 | no | — |
| 395 | D32 | — | 4 | 1 | no | — |
| 396 | D32 | — | 4 | 3 | no | — |
| 397 | D32 | — | 4 | 3 | no | — |
| 398 | D32 | — | 8 | 6 | no | — |
| 399 | #157 | — | 2 | 3 | no | — |
| 400 | #157 | — | 2 | 1 | no | — |
| 401 | #157 | — | 2 | 3 | no | — |
| 402 | #157 | — | 4 | 2 | no | — |
| 403 | #157 | — | 4 | 6 | no | — |
| 404 | #157 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 405 | #157 | #585 | 1 | 1 | yes | characteristic |
| 406 | C32×C4 | C22×SD16 | 1 | 3 | yes | — |
| 407 | C32×C4 | C22×SD16 | 1 | 1 | yes | characteristic |
| 408 | C3⋊Dic3 | C22×SD16 | 1 | 1 | yes | characteristic |
| 409 | C3⋊Dic3 | C22×SD16 | 1 | 3 | yes | — |
| 410 | C3×Dic3 | — | 4 | 1 | no | — |
| 411 | C3×Dic3 | — | 4 | 3 | no | — |
| 412 | C2×#41 | — | 9 | 1 | no | — |
| 413 | C2×#41 | — | 12 | 1 | no | — |
| 414 | C2×#41 | — | 18 | 3 | no | — |
| 415 | C2×#41 | — | 18 | 3 | no | — |
| 416 | C2×#41 | — | 18 | 1 | no | — |
| 417 | C2×#41 | — | 36 | 3 | no | — |
| 418 | C2×#41 | — | 36 | 3 | no | — |
| 419 | C2×#41 | — | 36 | 1 | no | — |
| 420 | C22×Q8 | — | 9 | 6 | no | — |
| 421 | C22×Q8 | — | 18 | 1 | no | — |
| 422 | C22×D4 | — | 9 | 3 | no | — |
| 423 | C22×D4 | — | 18 | 3 | no | — |
| 424 | C23×C4 | — | 18 | 3 | no | — |
| 425 | C2×SD16 | — | 9 | 6 | no | — |
| 426 | C2×SD16 | — | 9 | 12 | no | — |
| 427 | C2×SD16 | — | 9 | 6 | no | — |
| 428 | C2×SD16 | — | 36 | 12 | no | — |
| 429 | C22×C8 | — | 9 | 6 | no | — |
| 430 | C4⋊Q8 | — | 9 | 3 | no | — |
| 431 | C4⋊Q8 | — | 9 | 1 | no | — |
| 432 | C4⋊Q8 | — | 9 | 3 | no | — |
| 433 | C4⋊Q8 | — | 9 | 6 | no | — |
| 434 | C4⋊Q8 | — | 18 | 3 | no | — |
| 435 | C4⋊Q8 | — | 18 | 3 | no | — |
| 436 | C4⋊Q8 | — | 18 | 6 | no | — |
| 437 | #127 | — | 9 | 3 | no | — |
| 438 | #125 | — | 18 | 3 | no | — |
| 439 | #125 | — | 18 | 6 | no | — |
| 440 | #124 | — | 18 | 3 | no | — |
| 441 | #123 | — | 18 | 6 | no | — |
| 442 | C22⋊Q8 | — | 9 | 6 | no | — |
| 443 | C22⋊Q8 | — | 18 | 12 | no | — |
| 444 | C22⋊Q8 | — | 18 | 3 | no | — |
| 445 | C22⋊Q8 | — | 18 | 3 | no | — |
| 446 | C22⋊Q8 | — | 18 | 3 | no | — |
| 447 | #121 | — | 9 | 6 | no | — |
| 448 | #121 | — | 18 | 3 | no | — |
| 449 | #121 | — | 18 | 3 | no | — |
| 450 | #121 | — | 18 | 3 | no | — |
| 451 | #120 | — | 18 | 6 | no | — |
| 452 | C4×Q8 | — | 9 | 1 | no | — |
| 453 | C4×Q8 | — | 9 | 1 | no | — |
| 454 | C4×Q8 | — | 9 | 6 | no | — |
| 455 | C4×Q8 | — | 18 | 3 | no | — |
| 456 | C4×Q8 | — | 18 | 2 | no | — |
| 457 | C4×D4 | — | 9 | 3 | no | — |
| 458 | C4×D4 | — | 9 | 3 | no | — |
| 459 | C4×D4 | — | 9 | 1 | no | — |
| 460 | C4×D4 | — | 9 | 3 | no | — |
| 461 | C4×D4 | — | 9 | 3 | no | — |
| 462 | C4×D4 | — | 9 | 3 | no | — |
| 463 | C4×D4 | — | 18 | 3 | no | — |
| 464 | C4×D4 | — | 18 | 3 | no | — |
| 465 | C4×D4 | — | 18 | 3 | no | — |
| 466 | C4×D4 | — | 18 | 6 | no | — |
| 467 | #117 | — | 9 | 3 | no | — |
| 468 | #117 | — | 18 | 3 | no | — |
| 469 | C2×C4⋊C4 | — | 9 | 3 | no | — |
| 470 | C2×C4⋊C4 | — | 18 | 3 | no | — |
| 471 | C2×C4⋊C4 | — | 18 | 3 | no | — |
| 472 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 473 | C2×C42 | — | 9 | 3 | no | — |
| 474 | #106 | — | 9 | 2 | no | — |
| 475 | #106 | — | 9 | 6 | no | — |
| 476 | C4⋊C8 | — | 9 | 3 | no | — |
| 477 | C4⋊C8 | — | 9 | 6 | no | — |
| 478 | C4⋊C8 | — | 9 | 1 | no | — |
| 479 | #103 | — | 9 | 6 | no | — |
| 480 | #103 | — | 9 | 12 | no | — |
| 481 | #103 | — | 9 | 6 | no | — |
| 482 | #102 | — | 9 | 2 | no | — |
| 483 | #102 | — | 9 | 6 | no | — |
| 484 | C22⋊C8 | — | 9 | 6 | no | — |
| 485 | C4×C8 | — | 9 | 6 | no | — |
| 486 | C23×C3 | — | 12 | 3 | no | — |
| 487 | C22×D3 | — | 4 | 3 | no | — |
| 488 | C22×D3 | — | 12 | 3 | no | — |
| 489 | C22×D3 | — | 12 | 1 | no | — |
| 490 | C22×D3 | — | 12 | 3 | no | — |
| 491 | C22×D3 | — | 12 | 3 | no | — |
| 492 | C22×D3 | — | 12 | 3 | no | — |
| 493 | C22×D3 | — | 24 | 6 | no | — |
| 494 | C22×D3 | — | 24 | 6 | no | — |
| 495 | C3×Q8 | — | 4 | 1 | no | — |
| 496 | C3×Q8 | — | 12 | 3 | no | — |
| 497 | C3×D4 | — | 4 | 3 | no | — |
| 498 | C3×D4 | — | 12 | 3 | no | — |
| 499 | C3×D4 | — | 12 | 6 | no | — |
| 500 | C2×C3×C4 | — | 4 | 3 | no | — |
| 501 | C2×C3×C4 | — | 12 | 3 | no | — |
| 502 | C2×C3×C4 | — | 12 | 1 | no | — |
| 503 | C2×C3×C4 | — | 12 | 3 | no | — |
| 504 | C2×C3×C4 | — | 12 | 3 | no | — |
| 505 | C2×C3×C4 | — | 12 | 3 | no | — |
| 506 | #67 | — | 4 | 6 | no | — |
| 507 | #67 | — | 12 | 6 | no | — |
| 508 | #67 | — | 12 | 6 | no | — |
| 509 | #67 | — | 12 | 6 | no | — |
| 510 | C2×Dic3 | — | 4 | 3 | no | — |
| 511 | C2×Dic3 | — | 12 | 3 | no | — |
| 512 | C2×Dic3 | — | 12 | 3 | no | — |
| 513 | C2×Dic3 | — | 12 | 1 | no | — |
| 514 | C2×Dic3 | — | 12 | 3 | no | — |
| 515 | C2×Dic3 | — | 12 | 3 | no | — |
| 516 | D12 | — | 4 | 3 | no | — |
| 517 | D12 | — | 12 | 3 | no | — |
| 518 | D12 | — | 12 | 6 | no | — |
| 519 | C4×D3 | — | 4 | 1 | no | — |
| 520 | C4×D3 | — | 4 | 3 | no | — |
| 521 | C4×D3 | — | 4 | 3 | no | — |
| 522 | C4×D3 | — | 4 | 3 | no | — |
| 523 | C4×D3 | — | 12 | 3 | no | — |
| 524 | C4×D3 | — | 12 | 3 | no | — |
| 525 | C4×D3 | — | 12 | 1 | no | — |
| 526 | C4×D3 | — | 12 | 3 | no | — |
| 527 | C4×D3 | — | 12 | 1 | no | — |
| 528 | C4×D3 | — | 12 | 3 | no | — |
| 529 | C4×D3 | — | 12 | 3 | no | — |
| 530 | C4×D3 | — | 12 | 3 | no | — |
| 531 | C4×D3 | — | 12 | 1 | no | — |
| 532 | C4×D3 | — | 12 | 3 | no | — |
| 533 | C4×D3 | — | 12 | 3 | no | — |
| 534 | C4×D3 | — | 12 | 3 | no | — |
| 535 | Dic6 | — | 4 | 3 | no | — |
| 536 | Dic6 | — | 12 | 3 | no | — |
| 537 | Dic6 | — | 12 | 6 | no | — |
| 538 | C2×C32 | — | 2 | 3 | no | — |
| 539 | C2×C32 | C23×SD16 | 1 | 1 | yes | characteristic |
| 540 | C3⋊D3 | — | 2 | 3 | no | — |
| 541 | C3⋊D3 | #3488 | 1 | 1 | yes | characteristic |
| 542 | C3⋊D3 | #3586 | 1 | 1 | yes | characteristic |
| 543 | C3×D3 | — | 4 | 2 | no | — |
| 544 | C3×D3 | — | 8 | 3 | no | — |
| 545 | C24 | — | 18 | 3 | no | — |
| 546 | #41 | — | 9 | 1 | no | — |
| 547 | #41 | — | 9 | 3 | no | — |
| 548 | #41 | — | 9 | 3 | no | — |
| 549 | #41 | — | 12 | 1 | no | — |
| 550 | #41 | — | 12 | 3 | no | — |
| 551 | #41 | — | 12 | 3 | no | — |
| 552 | #41 | — | 36 | 3 | no | — |
| 553 | #41 | — | 36 | 3 | no | — |
| 554 | #41 | — | 36 | 3 | no | — |
| 555 | #41 | — | 36 | 6 | no | — |
| 556 | #41 | — | 36 | 3 | no | — |
| 557 | #41 | — | 36 | 3 | no | — |
| 558 | #41 | AΓL(1,𝔽9) | 1 | 1 | yes | characteristic, complemented |
| 559 | C2×Q8 | — | 9 | 1 | no | — |
| 560 | C2×Q8 | — | 9 | 6 | no | — |
| 561 | C2×Q8 | — | 12 | 1 | no | — |
| 562 | C2×Q8 | — | 18 | 3 | no | — |
| 563 | C2×Q8 | — | 18 | 1 | no | — |
| 564 | C2×Q8 | — | 18 | 6 | no | — |
| 565 | C2×Q8 | — | 36 | 3 | no | — |
| 566 | C2×Q8 | — | 36 | 6 | no | — |
| 567 | C2×Q8 | — | 36 | 6 | no | — |
| 568 | C2×D4 | — | 9 | 3 | no | — |
| 569 | C2×D4 | — | 9 | 1 | no | — |
| 570 | C2×D4 | — | 9 | 3 | no | — |
| 571 | C2×D4 | — | 12 | 3 | no | — |
| 572 | C2×D4 | — | 18 | 3 | no | — |
| 573 | C2×D4 | — | 18 | 3 | no | — |
| 574 | C2×D4 | — | 18 | 3 | no | — |
| 575 | C2×D4 | — | 18 | 6 | no | — |
| 576 | C2×D4 | — | 18 | 6 | no | — |
| 577 | C2×D4 | — | 36 | 3 | no | — |
| 578 | C2×D4 | — | 36 | 3 | no | — |
| 579 | C2×D4 | — | 36 | 6 | no | — |
| 580 | C22×C4 | — | 9 | 3 | no | — |
| 581 | C22×C4 | — | 9 | 3 | no | — |
| 582 | C22×C4 | — | 9 | 3 | no | — |
| 583 | C22×C4 | — | 12 | 3 | no | — |
| 584 | C22×C4 | — | 18 | 1 | no | — |
| 585 | C22×C4 | — | 18 | 3 | no | — |
| 586 | C22×C4 | — | 18 | 3 | no | — |
| 587 | C22×C4 | — | 18 | 3 | no | — |
| 588 | C22×C4 | — | 18 | 3 | no | — |
| 589 | C22×C4 | — | 18 | 6 | no | — |
| 590 | C22×C4 | — | 36 | 3 | no | — |
| 591 | C22×C4 | — | 36 | 3 | no | — |
| 592 | C22×C4 | — | 36 | 3 | no | — |
| 593 | SD16 | — | 18 | 12 | no | — |
| 594 | SD16 | — | 36 | 12 | no | — |
| 595 | SD16 | — | 36 | 6 | no | — |
| 596 | C2×C8 | — | 9 | 2 | no | — |
| 597 | C2×C8 | — | 9 | 6 | no | — |
| 598 | C2×C8 | — | 36 | 6 | no | — |
| 599 | C4⋊C4 | — | 9 | 3 | no | — |
| 600 | C4⋊C4 | — | 9 | 3 | no | — |
| 601 | C4⋊C4 | — | 9 | 2 | no | — |
| 602 | C4⋊C4 | — | 9 | 1 | no | — |
| 603 | C4⋊C4 | — | 9 | 3 | no | — |
| 604 | C4⋊C4 | — | 18 | 3 | no | — |
| 605 | C4⋊C4 | — | 18 | 3 | no | — |
| 606 | C4⋊C4 | — | 18 | 3 | no | — |
| 607 | C4⋊C4 | — | 18 | 6 | no | — |
| 608 | C4⋊C4 | — | 18 | 6 | no | — |
| 609 | C4⋊C4 | — | 18 | 1 | no | — |
| 610 | C4⋊C4 | — | 18 | 3 | no | — |
| 611 | C4⋊C4 | — | 18 | 6 | no | — |
| 612 | C4⋊C4 | — | 18 | 6 | no | — |
| 613 | C22⋊C4 | — | 9 | 6 | no | — |
| 614 | C22⋊C4 | — | 18 | 1 | no | — |
| 615 | C22⋊C4 | — | 18 | 3 | no | — |
| 616 | C22⋊C4 | — | 18 | 3 | no | — |
| 617 | C22⋊C4 | — | 18 | 3 | no | — |
| 618 | C22⋊C4 | — | 18 | 6 | no | — |
| 619 | C22⋊C4 | — | 18 | 6 | no | — |
| 620 | C42 | — | 9 | 3 | no | — |
| 621 | C42 | — | 9 | 1 | no | — |
| 622 | C42 | — | 9 | 3 | no | — |
| 623 | C42 | — | 9 | 3 | no | — |
| 624 | C42 | — | 18 | 6 | no | — |
| 625 | C22×C3 | — | 4 | 3 | no | — |
| 626 | C22×C3 | — | 12 | 1 | no | — |
| 627 | C22×C3 | — | 12 | 3 | no | — |
| 628 | C22×C3 | — | 24 | 6 | no | — |
| 629 | C2×D3 | — | 4 | 1 | no | — |
| 630 | C2×D3 | — | 4 | 3 | no | — |
| 631 | C2×D3 | — | 8 | 6 | no | — |
| 632 | C2×D3 | — | 12 | 1 | no | — |
| 633 | C2×D3 | — | 12 | 3 | no | — |
| 634 | C2×D3 | — | 12 | 2 | no | — |
| 635 | C2×D3 | — | 12 | 2 | no | — |
| 636 | C2×D3 | — | 24 | 3 | no | — |
| 637 | C2×D3 | — | 24 | 3 | no | — |
| 638 | C2×D3 | — | 24 | 3 | no | — |
| 639 | C2×D3 | — | 24 | 3 | no | — |
| 640 | C2×D3 | — | 24 | 6 | no | — |
| 641 | C2×D3 | — | 24 | 6 | no | — |
| 642 | C3×C4 | — | 4 | 3 | no | — |
| 643 | C3×C4 | — | 4 | 1 | no | — |
| 644 | C3×C4 | — | 12 | 3 | no | — |
| 645 | C3×C4 | — | 12 | 1 | no | — |
| 646 | Dic3 | — | 4 | 3 | no | — |
| 647 | Dic3 | — | 4 | 1 | no | — |
| 648 | Dic3 | — | 12 | 3 | no | — |
| 649 | Dic3 | — | 12 | 1 | no | — |
| 650 | C32 | #61948 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 651 | C23 | — | 9 | 3 | no | — |
| 652 | C23 | — | 12 | 3 | no | — |
| 653 | C23 | — | 18 | 1 | no | — |
| 654 | C23 | — | 18 | 3 | no | — |
| 655 | C23 | — | 36 | 3 | no | — |
| 656 | C23 | — | 36 | 6 | no | — |
| 657 | C23 | — | 72 | 3 | no | — |
| 658 | Q8 | — | 9 | 3 | no | — |
| 659 | Q8 | — | 12 | 3 | no | — |
| 660 | Q8 | — | 18 | 6 | no | — |
| 661 | Q8 | — | 18 | 6 | no | — |
| 662 | Q8 | — | 36 | 3 | no | — |
| 663 | Q8 | — | 36 | 2 | no | — |
| 664 | Q8 | — | 72 | 6 | no | — |
| 665 | Q8 | C2×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic, complemented |
| 666 | D4 | — | 9 | 6 | no | — |
| 667 | D4 | — | 9 | 2 | no | — |
| 668 | D4 | — | 9 | 3 | no | — |
| 669 | D4 | — | 12 | 6 | no | — |
| 670 | D4 | — | 12 | 3 | no | — |
| 671 | D4 | — | 18 | 1 | no | — |
| 672 | D4 | — | 18 | 3 | no | — |
| 673 | D4 | — | 18 | 3 | no | — |
| 674 | D4 | — | 36 | 3 | no | — |
| 675 | D4 | — | 36 | 6 | no | — |
| 676 | D4 | — | 36 | 6 | no | — |
| 677 | D4 | — | 72 | 3 | no | — |
| 678 | D4 | C2×AΓL(1,𝔽9) | 1 | 3 | yes | complemented |
| 679 | C2×C4 | — | 9 | 1 | no | — |
| 680 | C2×C4 | — | 9 | 3 | no | — |
| 681 | C2×C4 | — | 9 | 1 | no | — |
| 682 | C2×C4 | — | 9 | 3 | no | — |
| 683 | C2×C4 | — | 9 | 3 | no | — |
| 684 | C2×C4 | — | 9 | 3 | no | — |
| 685 | C2×C4 | — | 9 | 1 | no | — |
| 686 | C2×C4 | — | 9 | 3 | no | — |
| 687 | C2×C4 | — | 9 | 3 | no | — |
| 688 | C2×C4 | — | 12 | 3 | no | — |
| 689 | C2×C4 | — | 12 | 1 | no | — |
| 690 | C2×C4 | — | 12 | 3 | no | — |
| 691 | C2×C4 | — | 12 | 3 | no | — |
| 692 | C2×C4 | — | 12 | 3 | no | — |
| 693 | C2×C4 | — | 18 | 3 | no | — |
| 694 | C2×C4 | — | 18 | 3 | no | — |
| 695 | C2×C4 | — | 18 | 1 | no | — |
| 696 | C2×C4 | — | 18 | 3 | no | — |
| 697 | C2×C4 | — | 18 | 2 | no | — |
| 698 | C2×C4 | — | 18 | 6 | no | — |
| 699 | C2×C4 | — | 36 | 1 | no | — |
| 700 | C2×C4 | — | 36 | 3 | no | — |
| 701 | C2×C4 | — | 36 | 3 | no | — |
| 702 | C2×C4 | — | 36 | 3 | no | — |
| 703 | C2×C4 | — | 36 | 3 | no | — |
| 704 | C2×C4 | — | 36 | 3 | no | — |
| 705 | C2×C4 | — | 72 | 6 | no | — |
| 706 | C2×C4 | C2×AΓL(1,𝔽9) | 1 | 3 | yes | complemented |
| 707 | C8 | — | 18 | 6 | no | — |
| 708 | C8 | — | 18 | 2 | no | — |
| 709 | C2×C3 | — | 4 | 1 | no | — |
| 710 | C2×C3 | — | 8 | 3 | no | — |
| 711 | C2×C3 | — | 12 | 2 | no | — |
| 712 | C2×C3 | — | 24 | 3 | no | — |
| 713 | D3 | — | 4 | 2 | no | — |
| 714 | D3 | — | 8 | 3 | no | — |
| 715 | D3 | — | 12 | 1 | no | — |
| 716 | D3 | — | 12 | 1 | no | — |
| 717 | D3 | — | 24 | 3 | no | — |
| 718 | C22 | — | 9 | 1 | no | — |
| 719 | C22 | — | 9 | 3 | no | — |
| 720 | C22 | — | 12 | 1 | no | — |
| 721 | C22 | — | 12 | 3 | no | — |
| 722 | C22 | — | 18 | 3 | no | — |
| 723 | C22 | — | 18 | 3 | no | — |
| 724 | C22 | — | 18 | 2 | no | — |
| 725 | C22 | — | 24 | 6 | no | — |
| 726 | C22 | — | 36 | 1 | no | — |
| 727 | C22 | — | 36 | 3 | no | — |
| 728 | C22 | — | 36 | 3 | no | — |
| 729 | C22 | — | 72 | 6 | no | — |
| 730 | C22 | C22×AΓL(1,𝔽9) | 1 | 3 | yes | — |
| 731 | C4 | — | 9 | 1 | no | — |
| 732 | C4 | — | 9 | 1 | no | — |
| 733 | C4 | — | 9 | 1 | no | — |
| 734 | C4 | — | 9 | 3 | no | — |
| 735 | C4 | — | 12 | 1 | no | — |
| 736 | C4 | — | 12 | 3 | no | — |
| 737 | C4 | — | 18 | 3 | no | — |
| 738 | C4 | — | 18 | 1 | no | — |
| 739 | C4 | — | 18 | 3 | no | — |
| 740 | C4 | — | 36 | 6 | no | — |
| 741 | C4 | — | 36 | 2 | no | — |
| 742 | C4 | C22×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic |
| 743 | C4 | C22×AΓL(1,𝔽9) | 1 | 3 | yes | — |
| 744 | C3 | — | 4 | 1 | no | — |
| 745 | C2 | — | 2 | 3 | no | — |
| 746 | C2 | — | 9 | 1 | no | — |
| 747 | C2 | — | 9 | 1 | no | — |
| 748 | C2 | — | 12 | 2 | no | — |
| 749 | C2 | — | 18 | 3 | no | — |
| 750 | C2 | — | 24 | 3 | no | — |
| 751 | C2 | C23×AΓL(1,𝔽9) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11906400 | C2 | semidirect |
| 3. #11898332 | C2 | semidirect |
| 4. #11895192 | C2 | semidirect |
| 5. #11887585 | C2 | semidirect |
| 6. D4×AΓL(1,𝔽9) | C2 | semidirect |
| 7. #11882286 | C2 | semidirect |
| 8. #11878740 | C2 | semidirect |
| 9. #11870539 | C2 | semidirect |
| 10. C2×#10596409 | C2 | semidirect |
| 11. #11862930 | C2 | semidirect |
| 16. #10596547 | C22 | semidirect |
| 19. D4×PSU(3,𝔽2) | C22 | semidirect |
| 21. #10596542 | C22 | semidirect |
| 22. C2×C4⋊PSU(3,𝔽2) | C22 | semidirect |
| 32. Q8×AGL(1,𝔽9) | C22 | semidirect |
| 33. D4×AGL(1,𝔽9) | C22 | semidirect |
| 34. #10596484 | C22 | semidirect |
| 35. C2×C4⋊AGL(1,𝔽9) | C22 | semidirect |
| 36. #10596418 | C22 | semidirect |
| 38. #10596416 | C22 | semidirect |
| 39. #10596415 | C22 | semidirect |
| 40. C2×PSU(3,𝔽2)⋊C4 | C22 | semidirect |
| 41. #10596410 | C22 | semidirect |
| 44. #10596409 | C22 | semidirect |
| 45. #10596409 | C22 | semidirect |
| 46. #10596409 | C22 | semidirect |
| 47. #10596408 | C22 | semidirect |
| 49. C4×AΓL(1,𝔽9) | C22 | semidirect |
| 50. PSU(3,𝔽2)⋊Q8 | C22 | semidirect |
| 51. #10596404 | C22 | semidirect |
| 53. GO+(4,𝔽2)⋊Q8 | C22 | semidirect |
| 151. C32×#41 | SD16 | semidirect |
| 152. #3832 | SD16 | semidirect |
| 154. #3830 | SD16 | semidirect |
| 156. #3828 | SD16 | semidirect |
| 265. C32×Q8 | C2×SD16 | semidirect |
| 266. C32×D4 | C2×SD16 | semidirect |
| 267. C2×C32×C4 | C2×SD16 | semidirect |
| 268. #638 | C2×SD16 | semidirect |
| 269. C2×C3⋊Dic3 | C2×SD16 | semidirect |
| 270. C4⋊(C3⋊D3) | C2×SD16 | semidirect |
| 271. C4×C3⋊D3 | C2×SD16 | semidirect |
| 272. C4×C3⋊D3 | C2×SD16 | semidirect |
| 275. #634 | C2×SD16 | semidirect |
| 558. #41 | AΓL(1,𝔽9) | semidirect |
| 650. C32 | #61948 | semidirect |
| 665. Q8 | C2×AΓL(1,𝔽9) | semidirect |
| 678. D4 | C2×AΓL(1,𝔽9) | semidirect |
| 706. C2×C4 | C2×AΓL(1,𝔽9) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11906400 | 2 |
| #41×GO+(4,𝔽2) | 2 |
| #11898332 | 2 |
| #11895192 | 2 |
| #11887585 | 2 |
| D4×AΓL(1,𝔽9) | 2 |
| #11882286 | 2 |
| #11878740 | 2 |
| #11870539 | 2 |
| C2×#10596409 | 2 |
| #11862930 | 2 |
| #61948 | 9 |