Finite Group DatabasebetaFinite Group DatabasebetaOrder 2916.
1388 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 1388 conjugacy classes of subgroups — too many to draw. Only its 78 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 | C3×C3⋊#4174 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C32×#4174 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×D3×AΣL(1,𝔽27) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C33×D32 | — | 3 | 1 | no | maximal |
| 5 | C3×D3×#272 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×C3×#4174 | — | 3 | 1 | no | maximal |
| 7 | D3×#4174 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 8 | D3×#4174 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 9 | D3×#4174 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 10 | C32×AΣL(1,𝔽27) | C22 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 11 | C33×C3⋊D3 | — | 3 | 1 | no | — |
| 12 | C34×D3 | — | 3 | 1 | no | — |
| 13 | C34×D3 | D3 | 1 | 1 | yes | characteristic, complemented |
| 14 | C3×C3⋊#272 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 15 | C32×#272 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 16 | C3×D3×3−1+2 | — | 2 | 1 | no | — |
| 17 | C3×D3×H(3,𝔽3) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×C3×AΣL(1,𝔽27) | — | 3 | 1 | no | — |
| 19 | C3⋊#4174 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 20 | C3⋊#4174 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 21 | C3⋊#4174 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 22 | D3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 23 | D3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 24 | D3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 25 | D3×AΣL(1,𝔽27) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 26 | D3×AΣL(1,𝔽27) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 27 | D3×AΣL(1,𝔽27) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×#4174 | — | 2 | 1 | no | — |
| 29 | C3×#4174 | — | 2 | 1 | no | — |
| 30 | C3×#4174 | — | 2 | 1 | no | — |
| 31 | C3×#4174 | — | 2 | 1 | no | — |
| 32 | C3×#4174 | — | 3 | 1 | no | — |
| 33 | C3×#4174 | — | 6 | 1 | no | — |
| 34 | C3×#4174 | D3 | 1 | 1 | yes | characteristic, direct product factor |
| 35 | C3×#4174 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 36 | C3×#4174 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 37 | C3×#4174 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 38 | C2×C33×D3 | — | 9 | 1 | no | — |
| 39 | C2×C33×D3 | — | 9 | 1 | no | — |
| 40 | C32×D32 | — | 3 | 1 | no | — |
| 41 | C32×D32 | — | 3 | 1 | no | — |
| 42 | C32×D32 | — | 3 | 1 | no | — |
| 43 | C32×D32 | — | 3 | 1 | no | — |
| 44 | C32×D32 | — | 3 | 1 | no | — |
| 45 | C32×D32 | — | 3 | 1 | no | — |
| 46 | C32×D32 | — | 3 | 1 | no | — |
| 47 | C32×D32 | — | 3 | 1 | no | — |
| 48 | C32×D32 | — | 3 | 1 | no | — |
| 49 | C32×D32 | — | 3 | 1 | no | — |
| 50 | C32×D32 | — | 3 | 1 | no | — |
| 51 | C32×D32 | — | 3 | 1 | no | — |
| 52 | C32×D32 | — | 3 | 1 | no | — |
| 53 | C32×D32 | — | 9 | 1 | no | — |
| 54 | C2×C3×#272 | — | 3 | 1 | no | — |
| 55 | D3×#272 | C32 | 1 | 1 | yes | characteristic, complemented |
| 56 | C2×#4174 | — | 3 | 1 | no | — |
| 57 | C2×#4174 | — | 3 | 1 | no | — |
| 58 | C2×#4174 | — | 3 | 1 | no | — |
| 59 | C35 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 60 | C32×3−1+2 | — | 2 | 1 | no | — |
| 61 | C32×H(3,𝔽3) | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 62 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 63 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 64 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 65 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 66 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 67 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 68 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 69 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 70 | C3×AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 71 | C3×AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 72 | C3×AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 73 | C3×AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 74 | C3×AΣL(1,𝔽27) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 75 | C3×AΣL(1,𝔽27) | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 76 | C3×AΣL(1,𝔽27) | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 77 | C3×AΣL(1,𝔽27) | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 78 | C2×C34 | — | 3 | 1 | no | — |
| 79 | C2×C34 | — | 9 | 1 | no | — |
| 80 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 81 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 82 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 83 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 84 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 85 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 86 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 87 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 88 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 89 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 90 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 91 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 92 | C32×C3⋊D3 | — | 3 | 1 | no | — |
| 93 | C32×C3⋊D3 | — | 9 | 1 | no | — |
| 94 | C33×D3 | — | 3 | 1 | no | — |
| 95 | C33×D3 | — | 3 | 1 | no | — |
| 96 | C33×D3 | — | 3 | 1 | no | — |
| 97 | C33×D3 | — | 3 | 1 | no | — |
| 98 | C33×D3 | — | 3 | 1 | no | — |
| 99 | C33×D3 | — | 3 | 1 | no | — |
| 100 | C33×D3 | — | 3 | 1 | no | — |
| 101 | C33×D3 | — | 3 | 1 | no | — |
| 102 | C33×D3 | — | 3 | 1 | no | — |
| 103 | C33×D3 | — | 3 | 1 | no | — |
| 104 | C33×D3 | — | 3 | 1 | no | — |
| 105 | C33×D3 | — | 3 | 1 | no | — |
| 106 | C33×D3 | — | 3 | 1 | no | — |
| 107 | C33×D3 | — | 3 | 1 | no | — |
| 108 | C33×D3 | — | 3 | 1 | no | — |
| 109 | C33×D3 | — | 3 | 1 | no | — |
| 110 | C33×D3 | — | 3 | 1 | no | — |
| 111 | C33×D3 | — | 3 | 1 | no | — |
| 112 | C33×D3 | — | 3 | 1 | no | — |
| 113 | C33×D3 | — | 3 | 1 | no | — |
| 114 | C33×D3 | — | 6 | 1 | no | — |
| 115 | C33×D3 | — | 6 | 1 | no | — |
| 116 | C33×D3 | — | 6 | 1 | no | — |
| 117 | C33×D3 | — | 6 | 1 | no | — |
| 118 | C33×D3 | — | 6 | 1 | no | — |
| 119 | C33×D3 | — | 6 | 1 | no | — |
| 120 | C33×D3 | — | 6 | 1 | no | — |
| 121 | C33×D3 | — | 6 | 1 | no | — |
| 122 | C33×D3 | — | 6 | 1 | no | — |
| 123 | C33×D3 | — | 6 | 1 | no | — |
| 124 | C33×D3 | — | 6 | 1 | no | — |
| 125 | C33×D3 | — | 6 | 1 | no | — |
| 126 | C33×D3 | — | 6 | 1 | no | — |
| 127 | C33×D3 | — | 6 | 1 | no | — |
| 128 | C33×D3 | — | 6 | 1 | no | — |
| 129 | C33×D3 | — | 6 | 1 | no | — |
| 130 | C33×D3 | — | 6 | 1 | no | — |
| 131 | C33×D3 | — | 6 | 1 | no | — |
| 132 | C33×D3 | — | 6 | 1 | no | — |
| 133 | C33×D3 | — | 9 | 1 | no | — |
| 134 | C33×D3 | — | 9 | 1 | no | — |
| 135 | C33×D3 | — | 9 | 1 | no | — |
| 136 | C33×D3 | — | 18 | 1 | no | — |
| 137 | C33×D3 | C3×D3 | 1 | 1 | yes | characteristic |
| 138 | C33×D3 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 139 | C33×D3 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 140 | C33×D3 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 141 | C2×C3×3−1+2 | — | 6 | 1 | no | — |
| 142 | C2×C3×H(3,𝔽3) | — | 3 | 1 | no | — |
| 143 | C3⋊#272 | C2×C32 | 1 | 1 | yes | characteristic, complemented |
| 144 | C3×#272 | — | 2 | 1 | no | — |
| 145 | C3×#272 | — | 3 | 1 | no | — |
| 146 | C3×#272 | — | 6 | 1 | no | — |
| 147 | C3×#272 | — | 18 | 1 | no | — |
| 148 | C3×#272 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 149 | C3×#272 | C2×C32 | 1 | 1 | yes | characteristic, complemented |
| 150 | D3×3−1+2 | — | 2 | 1 | no | — |
| 151 | D3×3−1+2 | — | 2 | 1 | no | — |
| 152 | D3×3−1+2 | — | 2 | 1 | no | — |
| 153 | D3×3−1+2 | — | 6 | 2 | no | — |
| 154 | D3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 155 | D3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 156 | D3×H(3,𝔽3) | C2×C32 | 1 | 1 | yes | characteristic, complemented |
| 157 | C3×D3×C9 | — | 6 | 1 | no | — |
| 158 | C2×AΣL(1,𝔽27) | — | 3 | 1 | no | — |
| 159 | C2×AΣL(1,𝔽27) | — | 3 | 1 | no | — |
| 160 | C2×AΣL(1,𝔽27) | — | 3 | 1 | no | — |
| 161 | C2×AΣL(1,𝔽27) | — | 6 | 1 | no | — |
| 162 | C2×AΣL(1,𝔽27) | — | 6 | 1 | no | — |
| 163 | C2×AΣL(1,𝔽27) | — | 6 | 1 | no | — |
| 164 | #4174 | — | 2 | 1 | no | — |
| 165 | #4174 | — | 2 | 1 | no | — |
| 166 | #4174 | — | 2 | 1 | no | — |
| 167 | #4174 | — | 3 | 1 | no | — |
| 168 | #4174 | — | 3 | 1 | no | — |
| 169 | #4174 | — | 3 | 1 | no | — |
| 170 | #4174 | — | 6 | 1 | no | — |
| 171 | #4174 | — | 6 | 1 | no | — |
| 172 | #4174 | — | 6 | 1 | no | — |
| 173 | #4174 | C3×D3 | 1 | 1 | yes | characteristic, direct product factor |
| 174 | #4174 | C3×D3 | 1 | 1 | yes | characteristic, direct product factor |
| 175 | #4174 | C3×D3 | 1 | 1 | yes | characteristic, direct product factor |
| 176 | C22×C33 | — | 27 | 1 | no | — |
| 177 | C2×C32×D3 | — | 9 | 1 | no | — |
| 178 | C2×C32×D3 | — | 9 | 1 | no | — |
| 179 | C2×C32×D3 | — | 9 | 1 | no | — |
| 180 | C2×C32×D3 | — | 9 | 1 | no | — |
| 181 | C2×C32×D3 | — | 9 | 1 | no | — |
| 182 | C2×C32×D3 | — | 9 | 1 | no | — |
| 183 | C2×C32×D3 | — | 9 | 1 | no | — |
| 184 | C2×C32×D3 | — | 9 | 1 | no | — |
| 185 | C2×C32×D3 | — | 9 | 1 | no | — |
| 186 | C2×C32×D3 | — | 9 | 1 | no | — |
| 187 | C2×C32×D3 | — | 9 | 1 | no | — |
| 188 | C2×C32×D3 | — | 9 | 1 | no | — |
| 189 | C2×C32×D3 | — | 9 | 1 | no | — |
| 190 | C2×C32×D3 | — | 9 | 1 | no | — |
| 191 | C2×C32×D3 | — | 9 | 1 | no | — |
| 192 | C2×C32×D3 | — | 9 | 1 | no | — |
| 193 | C2×C32×D3 | — | 9 | 1 | no | — |
| 194 | C2×C32×D3 | — | 9 | 1 | no | — |
| 195 | C2×C32×D3 | — | 9 | 1 | no | — |
| 196 | C2×C32×D3 | — | 9 | 1 | no | — |
| 197 | C2×C32×D3 | — | 9 | 1 | no | — |
| 198 | C2×C32×D3 | — | 9 | 1 | no | — |
| 199 | C2×C32×D3 | — | 9 | 1 | no | — |
| 200 | C2×C32×D3 | — | 9 | 1 | no | — |
| 201 | C2×C32×D3 | — | 9 | 1 | no | — |
| 202 | C2×C32×D3 | — | 9 | 1 | no | — |
| 203 | C2×C32×D3 | — | 27 | 1 | no | — |
| 204 | C3×D32 | — | 3 | 1 | no | — |
| 205 | C3×D32 | — | 3 | 1 | no | — |
| 206 | C3×D32 | — | 3 | 1 | no | — |
| 207 | C3×D32 | — | 3 | 1 | no | — |
| 208 | C3×D32 | — | 3 | 1 | no | — |
| 209 | C3×D32 | — | 3 | 1 | no | — |
| 210 | C3×D32 | — | 3 | 1 | no | — |
| 211 | C3×D32 | — | 3 | 1 | no | — |
| 212 | C3×D32 | — | 3 | 1 | no | — |
| 213 | C3×D32 | — | 3 | 1 | no | — |
| 214 | C3×D32 | — | 3 | 1 | no | — |
| 215 | C3×D32 | — | 3 | 1 | no | — |
| 216 | C3×D32 | — | 3 | 1 | no | — |
| 217 | C3×D32 | — | 9 | 1 | no | — |
| 218 | C3×D32 | — | 9 | 1 | no | — |
| 219 | C3×D32 | — | 9 | 1 | no | — |
| 220 | C3×D32 | — | 9 | 1 | no | — |
| 221 | C2×#272 | — | 3 | 1 | no | — |
| 222 | C34 | — | 2 | 1 | no | — |
| 223 | C34 | — | 2 | 1 | no | — |
| 224 | C34 | — | 2 | 1 | no | — |
| 225 | C34 | — | 2 | 1 | no | — |
| 226 | C34 | — | 3 | 1 | no | — |
| 227 | C34 | — | 3 | 1 | no | — |
| 228 | C34 | — | 3 | 1 | no | — |
| 229 | C34 | — | 3 | 1 | no | — |
| 230 | C34 | — | 3 | 1 | no | — |
| 231 | C34 | — | 3 | 1 | no | — |
| 232 | C34 | — | 6 | 1 | no | — |
| 233 | C34 | — | 6 | 1 | no | — |
| 234 | C34 | — | 6 | 1 | no | — |
| 235 | C34 | — | 6 | 1 | no | — |
| 236 | C34 | — | 6 | 1 | no | — |
| 237 | C34 | — | 6 | 1 | no | — |
| 238 | C34 | — | 6 | 1 | no | — |
| 239 | C34 | — | 6 | 1 | no | — |
| 240 | C34 | — | 6 | 1 | no | — |
| 241 | C34 | — | 12 | 1 | no | — |
| 242 | C34 | — | 12 | 1 | no | — |
| 243 | C34 | — | 12 | 1 | no | — |
| 244 | C34 | — | 12 | 1 | no | — |
| 245 | C34 | — | 12 | 1 | no | — |
| 246 | C34 | — | 12 | 1 | no | — |
| 247 | C34 | — | 12 | 1 | no | — |
| 248 | C34 | — | 12 | 1 | no | — |
| 249 | C34 | D32 | 1 | 1 | yes | characteristic, complemented |
| 250 | C34 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 251 | C34 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 252 | C34 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 253 | C34 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 254 | C3×3−1+2 | — | 2 | 1 | no | — |
| 255 | C3×3−1+2 | — | 2 | 1 | no | — |
| 256 | C3×3−1+2 | — | 2 | 1 | no | — |
| 257 | C3×3−1+2 | — | 2 | 1 | no | — |
| 258 | C3×3−1+2 | — | 4 | 1 | no | — |
| 259 | C3×3−1+2 | — | 4 | 1 | no | — |
| 260 | C3×3−1+2 | — | 4 | 1 | no | — |
| 261 | C3×3−1+2 | — | 4 | 1 | no | — |
| 262 | C3×3−1+2 | — | 6 | 2 | no | — |
| 263 | C3×3−1+2 | — | 12 | 1 | no | — |
| 264 | C3×3−1+2 | — | 12 | 2 | no | — |
| 265 | C3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 266 | C3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 267 | C3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 268 | C3×H(3,𝔽3) | — | 4 | 1 | no | — |
| 269 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 270 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 271 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 272 | C3×H(3,𝔽3) | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 273 | C3×H(3,𝔽3) | C22×C32 | 1 | 1 | yes | characteristic, complemented |
| 274 | C32×C9 | — | 6 | 1 | no | — |
| 275 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 276 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 277 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 278 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 279 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 280 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 281 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 282 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 283 | AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 284 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 285 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 286 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 287 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 288 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 289 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 290 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 291 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 292 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 293 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 294 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 295 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 296 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 297 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 298 | AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 299 | AΣL(1,𝔽27) | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 300 | AΣL(1,𝔽27) | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 301 | AΣL(1,𝔽27) | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 302 | C2×C33 | — | 3 | 1 | no | — |
| 303 | C2×C33 | — | 3 | 1 | no | — |
| 304 | C2×C33 | — | 3 | 1 | no | — |
| 305 | C2×C33 | — | 3 | 1 | no | — |
| 306 | C2×C33 | — | 9 | 1 | no | — |
| 307 | C2×C33 | — | 9 | 1 | no | — |
| 308 | C2×C33 | — | 9 | 1 | no | — |
| 309 | C2×C33 | — | 9 | 1 | no | — |
| 310 | C2×C33 | — | 9 | 1 | no | — |
| 311 | C2×C33 | — | 9 | 1 | no | — |
| 312 | C2×C33 | — | 9 | 1 | no | — |
| 313 | C2×C33 | — | 9 | 1 | no | — |
| 314 | C2×C33 | — | 9 | 1 | no | — |
| 315 | C2×C33 | — | 9 | 1 | no | — |
| 316 | C2×C33 | — | 9 | 1 | no | — |
| 317 | C2×C33 | — | 9 | 1 | no | — |
| 318 | C2×C33 | — | 9 | 1 | no | — |
| 319 | C2×C33 | — | 9 | 1 | no | — |
| 320 | C2×C33 | — | 9 | 1 | no | — |
| 321 | C2×C33 | — | 9 | 1 | no | — |
| 322 | C2×C33 | — | 9 | 1 | no | — |
| 323 | C2×C33 | — | 9 | 1 | no | — |
| 324 | C2×C33 | — | 18 | 1 | no | — |
| 325 | C2×C33 | — | 18 | 1 | no | — |
| 326 | C2×C33 | — | 18 | 1 | no | — |
| 327 | C2×C33 | — | 18 | 1 | no | — |
| 328 | C2×C33 | — | 18 | 1 | no | — |
| 329 | C2×C33 | — | 18 | 1 | no | — |
| 330 | C2×C33 | — | 18 | 1 | no | — |
| 331 | C2×C33 | — | 18 | 1 | no | — |
| 332 | C2×C33 | — | 18 | 1 | no | — |
| 333 | C2×C33 | — | 18 | 1 | no | — |
| 334 | C2×C33 | — | 18 | 1 | no | — |
| 335 | C2×C33 | — | 18 | 1 | no | — |
| 336 | C2×C33 | — | 18 | 1 | no | — |
| 337 | C2×C33 | — | 18 | 1 | no | — |
| 338 | C2×C33 | — | 18 | 1 | no | — |
| 339 | C2×C33 | — | 18 | 1 | no | — |
| 340 | C2×C33 | — | 18 | 1 | no | — |
| 341 | C2×C33 | — | 18 | 1 | no | — |
| 342 | C2×C33 | — | 18 | 1 | no | — |
| 343 | C2×C33 | — | 18 | 1 | no | — |
| 344 | C2×C33 | — | 18 | 1 | no | — |
| 345 | C2×C33 | — | 27 | 1 | no | — |
| 346 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 347 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 348 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 349 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 350 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 351 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 352 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 353 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 354 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 355 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 356 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 357 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 358 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 359 | C3×C3⋊D3 | — | 9 | 1 | no | — |
| 360 | C3×C3⋊D3 | — | 9 | 1 | no | — |
| 361 | C3×C3⋊D3 | — | 9 | 1 | no | — |
| 362 | C3×C3⋊D3 | — | 9 | 1 | no | — |
| 363 | C32×D3 | — | 2 | 1 | no | — |
| 364 | C32×D3 | — | 3 | 1 | no | — |
| 365 | C32×D3 | — | 3 | 1 | no | — |
| 366 | C32×D3 | — | 3 | 1 | no | — |
| 367 | C32×D3 | — | 3 | 1 | no | — |
| 368 | C32×D3 | — | 3 | 1 | no | — |
| 369 | C32×D3 | — | 3 | 1 | no | — |
| 370 | C32×D3 | — | 3 | 1 | no | — |
| 371 | C32×D3 | — | 3 | 1 | no | — |
| 372 | C32×D3 | — | 3 | 1 | no | — |
| 373 | C32×D3 | — | 3 | 1 | no | — |
| 374 | C32×D3 | — | 3 | 1 | no | — |
| 375 | C32×D3 | — | 3 | 1 | no | — |
| 376 | C32×D3 | — | 3 | 1 | no | — |
| 377 | C32×D3 | — | 3 | 1 | no | — |
| 378 | C32×D3 | — | 3 | 1 | no | — |
| 379 | C32×D3 | — | 3 | 1 | no | — |
| 380 | C32×D3 | — | 3 | 1 | no | — |
| 381 | C32×D3 | — | 3 | 1 | no | — |
| 382 | C32×D3 | — | 3 | 1 | no | — |
| 383 | C32×D3 | — | 3 | 1 | no | — |
| 384 | C32×D3 | — | 3 | 1 | no | — |
| 385 | C32×D3 | — | 3 | 1 | no | — |
| 386 | C32×D3 | — | 3 | 1 | no | — |
| 387 | C32×D3 | — | 3 | 1 | no | — |
| 388 | C32×D3 | — | 3 | 1 | no | — |
| 389 | C32×D3 | — | 3 | 1 | no | — |
| 390 | C32×D3 | — | 3 | 1 | no | — |
| 391 | C32×D3 | — | 3 | 1 | no | — |
| 392 | C32×D3 | — | 3 | 1 | no | — |
| 393 | C32×D3 | — | 3 | 1 | no | — |
| 394 | C32×D3 | — | 3 | 1 | no | — |
| 395 | C32×D3 | — | 3 | 1 | no | — |
| 396 | C32×D3 | — | 3 | 1 | no | — |
| 397 | C32×D3 | — | 3 | 1 | no | — |
| 398 | C32×D3 | — | 3 | 1 | no | — |
| 399 | C32×D3 | — | 3 | 1 | no | — |
| 400 | C32×D3 | — | 3 | 1 | no | — |
| 401 | C32×D3 | — | 3 | 1 | no | — |
| 402 | C32×D3 | — | 6 | 1 | no | — |
| 403 | C32×D3 | — | 6 | 1 | no | — |
| 404 | C32×D3 | — | 6 | 1 | no | — |
| 405 | C32×D3 | — | 6 | 1 | no | — |
| 406 | C32×D3 | — | 6 | 1 | no | — |
| 407 | C32×D3 | — | 6 | 1 | no | — |
| 408 | C32×D3 | — | 6 | 1 | no | — |
| 409 | C32×D3 | — | 6 | 1 | no | — |
| 410 | C32×D3 | — | 6 | 1 | no | — |
| 411 | C32×D3 | — | 6 | 1 | no | — |
| 412 | C32×D3 | — | 6 | 1 | no | — |
| 413 | C32×D3 | — | 6 | 1 | no | — |
| 414 | C32×D3 | — | 6 | 1 | no | — |
| 415 | C32×D3 | — | 6 | 1 | no | — |
| 416 | C32×D3 | — | 6 | 1 | no | — |
| 417 | C32×D3 | — | 6 | 1 | no | — |
| 418 | C32×D3 | — | 6 | 1 | no | — |
| 419 | C32×D3 | — | 6 | 1 | no | — |
| 420 | C32×D3 | — | 6 | 1 | no | — |
| 421 | C32×D3 | — | 6 | 1 | no | — |
| 422 | C32×D3 | — | 6 | 1 | no | — |
| 423 | C32×D3 | — | 6 | 1 | no | — |
| 424 | C32×D3 | — | 6 | 1 | no | — |
| 425 | C32×D3 | — | 6 | 1 | no | — |
| 426 | C32×D3 | — | 6 | 1 | no | — |
| 427 | C32×D3 | — | 6 | 1 | no | — |
| 428 | C32×D3 | — | 6 | 1 | no | — |
| 429 | C32×D3 | — | 6 | 1 | no | — |
| 430 | C32×D3 | — | 6 | 1 | no | — |
| 431 | C32×D3 | — | 6 | 1 | no | — |
| 432 | C32×D3 | — | 6 | 1 | no | — |
| 433 | C32×D3 | — | 6 | 1 | no | — |
| 434 | C32×D3 | — | 6 | 1 | no | — |
| 435 | C32×D3 | — | 6 | 1 | no | — |
| 436 | C32×D3 | — | 6 | 1 | no | — |
| 437 | C32×D3 | — | 6 | 1 | no | — |
| 438 | C32×D3 | — | 6 | 1 | no | — |
| 439 | C32×D3 | — | 6 | 1 | no | — |
| 440 | C32×D3 | — | 6 | 1 | no | — |
| 441 | C32×D3 | — | 6 | 1 | no | — |
| 442 | C32×D3 | — | 6 | 1 | no | — |
| 443 | C32×D3 | — | 6 | 1 | no | — |
| 444 | C32×D3 | — | 6 | 1 | no | — |
| 445 | C32×D3 | — | 6 | 1 | no | — |
| 446 | C32×D3 | — | 6 | 1 | no | — |
| 447 | C32×D3 | — | 6 | 1 | no | — |
| 448 | C32×D3 | — | 6 | 1 | no | — |
| 449 | C32×D3 | — | 6 | 1 | no | — |
| 450 | C32×D3 | — | 6 | 1 | no | — |
| 451 | C32×D3 | — | 6 | 1 | no | — |
| 452 | C32×D3 | — | 6 | 1 | no | — |
| 453 | C32×D3 | — | 6 | 1 | no | — |
| 454 | C32×D3 | — | 6 | 1 | no | — |
| 455 | C32×D3 | — | 6 | 1 | no | — |
| 456 | C32×D3 | — | 6 | 1 | no | — |
| 457 | C32×D3 | — | 6 | 1 | no | — |
| 458 | C32×D3 | — | 6 | 1 | no | — |
| 459 | C32×D3 | — | 6 | 1 | no | — |
| 460 | C32×D3 | — | 6 | 1 | no | — |
| 461 | C32×D3 | — | 6 | 1 | no | — |
| 462 | C32×D3 | — | 6 | 1 | no | — |
| 463 | C32×D3 | — | 6 | 1 | no | — |
| 464 | C32×D3 | — | 6 | 1 | no | — |
| 465 | C32×D3 | — | 6 | 1 | no | — |
| 466 | C32×D3 | — | 6 | 1 | no | — |
| 467 | C32×D3 | — | 6 | 1 | no | — |
| 468 | C32×D3 | — | 6 | 1 | no | — |
| 469 | C32×D3 | — | 6 | 1 | no | — |
| 470 | C32×D3 | — | 6 | 1 | no | — |
| 471 | C32×D3 | — | 6 | 1 | no | — |
| 472 | C32×D3 | — | 6 | 1 | no | — |
| 473 | C32×D3 | — | 6 | 1 | no | — |
| 474 | C32×D3 | — | 6 | 1 | no | — |
| 475 | C32×D3 | — | 6 | 1 | no | — |
| 476 | C32×D3 | — | 6 | 1 | no | — |
| 477 | C32×D3 | — | 9 | 1 | no | — |
| 478 | C32×D3 | — | 9 | 1 | no | — |
| 479 | C32×D3 | — | 9 | 1 | no | — |
| 480 | C32×D3 | — | 9 | 1 | no | — |
| 481 | C32×D3 | — | 9 | 1 | no | — |
| 482 | C32×D3 | — | 9 | 1 | no | — |
| 483 | C32×D3 | — | 9 | 1 | no | — |
| 484 | C32×D3 | — | 9 | 1 | no | — |
| 485 | C32×D3 | — | 9 | 1 | no | — |
| 486 | C32×D3 | — | 9 | 1 | no | — |
| 487 | C32×D3 | — | 9 | 1 | no | — |
| 488 | C32×D3 | — | 9 | 1 | no | — |
| 489 | C32×D3 | — | 9 | 1 | no | — |
| 490 | C32×D3 | — | 9 | 1 | no | — |
| 491 | C32×D3 | — | 9 | 1 | no | — |
| 492 | C32×D3 | — | 9 | 1 | no | — |
| 493 | C32×D3 | — | 9 | 1 | no | — |
| 494 | C32×D3 | — | 9 | 1 | no | — |
| 495 | C32×D3 | — | 9 | 1 | no | — |
| 496 | C32×D3 | — | 9 | 1 | no | — |
| 497 | C32×D3 | — | 9 | 1 | no | — |
| 498 | C32×D3 | — | 9 | 1 | no | — |
| 499 | C32×D3 | — | 9 | 1 | no | — |
| 500 | C32×D3 | — | 9 | 1 | no | — |
| 501 | C32×D3 | — | 9 | 1 | no | — |
| 502 | C32×D3 | — | 9 | 1 | no | — |
| 503 | C32×D3 | — | 9 | 1 | no | — |
| 504 | C32×D3 | — | 9 | 1 | no | — |
| 505 | C32×D3 | — | 9 | 1 | no | — |
| 506 | C32×D3 | — | 9 | 1 | no | — |
| 507 | C32×D3 | — | 9 | 1 | no | — |
| 508 | C32×D3 | — | 9 | 1 | no | — |
| 509 | C32×D3 | — | 18 | 1 | no | — |
| 510 | C32×D3 | — | 18 | 1 | no | — |
| 511 | C32×D3 | — | 18 | 1 | no | — |
| 512 | C32×D3 | — | 18 | 1 | no | — |
| 513 | C32×D3 | — | 18 | 1 | no | — |
| 514 | C32×D3 | — | 18 | 1 | no | — |
| 515 | C32×D3 | — | 18 | 1 | no | — |
| 516 | C32×D3 | — | 18 | 1 | no | — |
| 517 | C32×D3 | — | 18 | 1 | no | — |
| 518 | C32×D3 | — | 18 | 1 | no | — |
| 519 | C32×D3 | — | 18 | 1 | no | — |
| 520 | C32×D3 | — | 18 | 1 | no | — |
| 521 | C32×D3 | — | 18 | 1 | no | — |
| 522 | C32×D3 | — | 18 | 1 | no | — |
| 523 | C32×D3 | — | 18 | 1 | no | — |
| 524 | C32×D3 | — | 18 | 1 | no | — |
| 525 | C32×D3 | — | 18 | 1 | no | — |
| 526 | C32×D3 | — | 18 | 1 | no | — |
| 527 | C32×D3 | — | 18 | 1 | no | — |
| 528 | C32×D3 | — | 27 | 1 | no | — |
| 529 | C32×D3 | — | 54 | 1 | no | — |
| 530 | C32×D3 | (C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic |
| 531 | C32×D3 | C32×D3 | 1 | 1 | yes | characteristic |
| 532 | C2×3−1+2 | — | 6 | 1 | no | — |
| 533 | C2×3−1+2 | — | 6 | 1 | no | — |
| 534 | C2×3−1+2 | — | 6 | 1 | no | — |
| 535 | C2×3−1+2 | — | 18 | 2 | no | — |
| 536 | C2×H(3,𝔽3) | — | 3 | 1 | no | — |
| 537 | C2×H(3,𝔽3) | — | 6 | 1 | no | — |
| 538 | C2×H(3,𝔽3) | — | 18 | 1 | no | — |
| 539 | C2×C3×C9 | — | 18 | 1 | no | — |
| 540 | #272 | — | 3 | 1 | no | — |
| 541 | #272 | — | 6 | 1 | no | — |
| 542 | #272 | — | 18 | 1 | no | — |
| 543 | #272 | C32×D3 | 1 | 1 | yes | characteristic, complemented |
| 544 | D3×C9 | — | 6 | 1 | no | — |
| 545 | D3×C9 | — | 6 | 1 | no | — |
| 546 | D3×C9 | — | 6 | 1 | no | — |
| 547 | C22×C32 | — | 27 | 1 | no | — |
| 548 | C22×C32 | — | 27 | 1 | no | — |
| 549 | C22×C32 | — | 27 | 1 | no | — |
| 550 | C22×C32 | — | 27 | 1 | no | — |
| 551 | C22×C32 | — | 27 | 1 | no | — |
| 552 | C22×C32 | — | 27 | 1 | no | — |
| 553 | C22×C32 | — | 27 | 1 | no | — |
| 554 | C22×C32 | — | 27 | 1 | no | — |
| 555 | C22×C32 | — | 27 | 1 | no | — |
| 556 | C22×C32 | — | 27 | 1 | no | — |
| 557 | C22×C32 | — | 27 | 1 | no | — |
| 558 | C22×C32 | — | 27 | 1 | no | — |
| 559 | C22×C32 | — | 27 | 1 | no | — |
| 560 | C2×C3×D3 | — | 9 | 1 | no | — |
| 561 | C2×C3×D3 | — | 9 | 1 | no | — |
| 562 | C2×C3×D3 | — | 9 | 1 | no | — |
| 563 | C2×C3×D3 | — | 9 | 1 | no | — |
| 564 | C2×C3×D3 | — | 9 | 1 | no | — |
| 565 | C2×C3×D3 | — | 9 | 1 | no | — |
| 566 | C2×C3×D3 | — | 9 | 1 | no | — |
| 567 | C2×C3×D3 | — | 9 | 1 | no | — |
| 568 | C2×C3×D3 | — | 9 | 1 | no | — |
| 569 | C2×C3×D3 | — | 9 | 1 | no | — |
| 570 | C2×C3×D3 | — | 9 | 1 | no | — |
| 571 | C2×C3×D3 | — | 9 | 1 | no | — |
| 572 | C2×C3×D3 | — | 9 | 1 | no | — |
| 573 | C2×C3×D3 | — | 9 | 1 | no | — |
| 574 | C2×C3×D3 | — | 9 | 1 | no | — |
| 575 | C2×C3×D3 | — | 9 | 1 | no | — |
| 576 | C2×C3×D3 | — | 9 | 1 | no | — |
| 577 | C2×C3×D3 | — | 9 | 1 | no | — |
| 578 | C2×C3×D3 | — | 9 | 1 | no | — |
| 579 | C2×C3×D3 | — | 9 | 1 | no | — |
| 580 | C2×C3×D3 | — | 9 | 1 | no | — |
| 581 | C2×C3×D3 | — | 9 | 1 | no | — |
| 582 | C2×C3×D3 | — | 9 | 1 | no | — |
| 583 | C2×C3×D3 | — | 9 | 1 | no | — |
| 584 | C2×C3×D3 | — | 9 | 1 | no | — |
| 585 | C2×C3×D3 | — | 9 | 1 | no | — |
| 586 | C2×C3×D3 | — | 27 | 1 | no | — |
| 587 | C2×C3×D3 | — | 27 | 1 | no | — |
| 588 | C2×C3×D3 | — | 27 | 1 | no | — |
| 589 | C2×C3×D3 | — | 27 | 1 | no | — |
| 590 | D32 | — | 3 | 1 | no | — |
| 591 | D32 | — | 9 | 1 | no | — |
| 592 | C33 | — | 2 | 1 | no | — |
| 593 | C33 | — | 2 | 1 | no | — |
| 594 | C33 | — | 2 | 1 | no | — |
| 595 | C33 | — | 2 | 1 | no | — |
| 596 | C33 | — | 2 | 1 | no | — |
| 597 | C33 | — | 2 | 1 | no | — |
| 598 | C33 | — | 3 | 1 | no | — |
| 599 | C33 | — | 3 | 1 | no | — |
| 600 | C33 | — | 3 | 1 | no | — |
| 601 | C33 | — | 3 | 1 | no | — |
| 602 | C33 | — | 3 | 1 | no | — |
| 603 | C33 | — | 3 | 1 | no | — |
| 604 | C33 | — | 3 | 1 | no | — |
| 605 | C33 | — | 3 | 1 | no | — |
| 606 | C33 | — | 3 | 1 | no | — |
| 607 | C33 | — | 3 | 1 | no | — |
| 608 | C33 | — | 3 | 1 | no | — |
| 609 | C33 | — | 3 | 1 | no | — |
| 610 | C33 | — | 3 | 1 | no | — |
| 611 | C33 | — | 3 | 1 | no | — |
| 612 | C33 | — | 3 | 1 | no | — |
| 613 | C33 | — | 3 | 1 | no | — |
| 614 | C33 | — | 4 | 1 | no | — |
| 615 | C33 | — | 6 | 1 | no | — |
| 616 | C33 | — | 6 | 1 | no | — |
| 617 | C33 | — | 6 | 1 | no | — |
| 618 | C33 | — | 6 | 1 | no | — |
| 619 | C33 | — | 6 | 1 | no | — |
| 620 | C33 | — | 6 | 1 | no | — |
| 621 | C33 | — | 6 | 1 | no | — |
| 622 | C33 | — | 6 | 1 | no | — |
| 623 | C33 | — | 6 | 1 | no | — |
| 624 | C33 | — | 6 | 1 | no | — |
| 625 | C33 | — | 6 | 1 | no | — |
| 626 | C33 | — | 6 | 1 | no | — |
| 627 | C33 | — | 6 | 1 | no | — |
| 628 | C33 | — | 6 | 1 | no | — |
| 629 | C33 | — | 6 | 1 | no | — |
| 630 | C33 | — | 6 | 1 | no | — |
| 631 | C33 | — | 6 | 1 | no | — |
| 632 | C33 | — | 6 | 1 | no | — |
| 633 | C33 | — | 6 | 1 | no | — |
| 634 | C33 | — | 6 | 1 | no | — |
| 635 | C33 | — | 6 | 1 | no | — |
| 636 | C33 | — | 6 | 1 | no | — |
| 637 | C33 | — | 6 | 1 | no | — |
| 638 | C33 | — | 6 | 1 | no | — |
| 639 | C33 | — | 6 | 1 | no | — |
| 640 | C33 | — | 6 | 1 | no | — |
| 641 | C33 | — | 6 | 1 | no | — |
| 642 | C33 | — | 6 | 1 | no | — |
| 643 | C33 | — | 6 | 1 | no | — |
| 644 | C33 | — | 6 | 1 | no | — |
| 645 | C33 | — | 6 | 1 | no | — |
| 646 | C33 | — | 6 | 1 | no | — |
| 647 | C33 | — | 6 | 1 | no | — |
| 648 | C33 | — | 6 | 1 | no | — |
| 649 | C33 | — | 6 | 1 | no | — |
| 650 | C33 | — | 6 | 1 | no | — |
| 651 | C33 | — | 6 | 1 | no | — |
| 652 | C33 | — | 6 | 1 | no | — |
| 653 | C33 | — | 6 | 1 | no | — |
| 654 | C33 | — | 6 | 1 | no | — |
| 655 | C33 | — | 6 | 1 | no | — |
| 656 | C33 | — | 6 | 1 | no | — |
| 657 | C33 | — | 6 | 1 | no | — |
| 658 | C33 | — | 6 | 1 | no | — |
| 659 | C33 | — | 6 | 1 | no | — |
| 660 | C33 | — | 6 | 1 | no | — |
| 661 | C33 | — | 6 | 1 | no | — |
| 662 | C33 | — | 6 | 1 | no | — |
| 663 | C33 | — | 6 | 1 | no | — |
| 664 | C33 | — | 6 | 1 | no | — |
| 665 | C33 | — | 6 | 1 | no | — |
| 666 | C33 | — | 6 | 1 | no | — |
| 667 | C33 | — | 6 | 1 | no | — |
| 668 | C33 | — | 6 | 1 | no | — |
| 669 | C33 | — | 6 | 1 | no | — |
| 670 | C33 | — | 6 | 1 | no | — |
| 671 | C33 | — | 6 | 1 | no | — |
| 672 | C33 | — | 6 | 1 | no | — |
| 673 | C33 | — | 6 | 1 | no | — |
| 674 | C33 | — | 6 | 1 | no | — |
| 675 | C33 | — | 6 | 1 | no | — |
| 676 | C33 | — | 9 | 1 | no | — |
| 677 | C33 | — | 12 | 1 | no | — |
| 678 | C33 | — | 12 | 1 | no | — |
| 679 | C33 | — | 12 | 1 | no | — |
| 680 | C33 | — | 12 | 1 | no | — |
| 681 | C33 | — | 12 | 1 | no | — |
| 682 | C33 | — | 12 | 1 | no | — |
| 683 | C33 | — | 12 | 1 | no | — |
| 684 | C33 | — | 12 | 1 | no | — |
| 685 | C33 | — | 12 | 1 | no | — |
| 686 | C33 | — | 12 | 1 | no | — |
| 687 | C33 | — | 12 | 1 | no | — |
| 688 | C33 | — | 12 | 1 | no | — |
| 689 | C33 | — | 12 | 1 | no | — |
| 690 | C33 | — | 12 | 1 | no | — |
| 691 | C33 | — | 12 | 1 | no | — |
| 692 | C33 | — | 12 | 1 | no | — |
| 693 | C33 | — | 12 | 1 | no | — |
| 694 | C33 | — | 12 | 1 | no | — |
| 695 | C33 | — | 12 | 1 | no | — |
| 696 | C33 | — | 12 | 1 | no | — |
| 697 | C33 | — | 12 | 1 | no | — |
| 698 | C33 | — | 12 | 1 | no | — |
| 699 | C33 | — | 12 | 1 | no | — |
| 700 | C33 | — | 12 | 1 | no | — |
| 701 | C33 | — | 12 | 1 | no | — |
| 702 | C33 | — | 12 | 1 | no | — |
| 703 | C33 | — | 12 | 1 | no | — |
| 704 | C33 | — | 12 | 1 | no | — |
| 705 | C33 | — | 12 | 1 | no | — |
| 706 | C33 | — | 12 | 1 | no | — |
| 707 | C33 | — | 12 | 1 | no | — |
| 708 | C33 | — | 12 | 1 | no | — |
| 709 | C33 | — | 12 | 1 | no | — |
| 710 | C33 | — | 12 | 1 | no | — |
| 711 | C33 | — | 12 | 1 | no | — |
| 712 | C33 | — | 12 | 1 | no | — |
| 713 | C33 | — | 12 | 1 | no | — |
| 714 | C33 | — | 12 | 1 | no | — |
| 715 | C33 | — | 12 | 1 | no | — |
| 716 | C33 | — | 12 | 1 | no | — |
| 717 | C33 | — | 12 | 1 | no | — |
| 718 | C33 | — | 12 | 1 | no | — |
| 719 | C33 | — | 12 | 1 | no | — |
| 720 | C33 | — | 12 | 1 | no | — |
| 721 | C33 | — | 12 | 1 | no | — |
| 722 | C33 | — | 12 | 1 | no | — |
| 723 | C33 | — | 12 | 1 | no | — |
| 724 | C33 | — | 12 | 1 | no | — |
| 725 | C33 | — | 12 | 1 | no | — |
| 726 | C33 | — | 12 | 1 | no | — |
| 727 | C33 | — | 12 | 1 | no | — |
| 728 | C33 | — | 12 | 1 | no | — |
| 729 | C33 | — | 12 | 1 | no | — |
| 730 | C33 | — | 12 | 1 | no | — |
| 731 | C33 | — | 12 | 1 | no | — |
| 732 | C33 | — | 12 | 1 | no | — |
| 733 | C33 | — | 12 | 1 | no | — |
| 734 | C33 | — | 12 | 1 | no | — |
| 735 | C33 | — | 12 | 1 | no | — |
| 736 | C33 | — | 12 | 1 | no | — |
| 737 | C33 | — | 12 | 1 | no | — |
| 738 | C33 | — | 12 | 1 | no | — |
| 739 | C33 | — | 12 | 1 | no | — |
| 740 | C33 | — | 12 | 1 | no | — |
| 741 | C33 | — | 12 | 1 | no | — |
| 742 | C33 | — | 12 | 1 | no | — |
| 743 | C33 | — | 12 | 1 | no | — |
| 744 | C33 | — | 12 | 1 | no | — |
| 745 | C33 | — | 12 | 1 | no | — |
| 746 | C33 | — | 12 | 1 | no | — |
| 747 | C33 | — | 12 | 1 | no | — |
| 748 | C33 | — | 12 | 1 | no | — |
| 749 | C33 | — | 12 | 1 | no | — |
| 750 | C33 | — | 12 | 1 | no | — |
| 751 | C33 | — | 12 | 1 | no | — |
| 752 | C33 | — | 12 | 1 | no | — |
| 753 | C33 | — | 12 | 1 | no | — |
| 754 | C33 | — | 12 | 1 | no | — |
| 755 | C33 | — | 12 | 1 | no | — |
| 756 | C33 | — | 12 | 1 | no | — |
| 757 | C33 | — | 12 | 1 | no | — |
| 758 | C33 | — | 12 | 1 | no | — |
| 759 | C33 | — | 12 | 1 | no | — |
| 760 | C33 | — | 12 | 1 | no | — |
| 761 | C33 | — | 12 | 1 | no | — |
| 762 | C33 | — | 12 | 1 | no | — |
| 763 | C33 | — | 12 | 1 | no | — |
| 764 | C33 | — | 12 | 1 | no | — |
| 765 | C33 | — | 12 | 1 | no | — |
| 766 | C33 | — | 12 | 1 | no | — |
| 767 | C33 | — | 12 | 1 | no | — |
| 768 | C33 | — | 12 | 1 | no | — |
| 769 | C33 | — | 12 | 1 | no | — |
| 770 | C33 | — | 12 | 1 | no | — |
| 771 | C33 | — | 12 | 1 | no | — |
| 772 | C33 | — | 18 | 1 | no | — |
| 773 | C33 | — | 18 | 1 | no | — |
| 774 | C33 | — | 18 | 1 | no | — |
| 775 | C33 | — | 36 | 1 | no | — |
| 776 | C33 | — | 36 | 1 | no | — |
| 777 | C33 | C2×(C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic |
| 778 | C33 | C3×D32 | 1 | 1 | yes | characteristic |
| 779 | C33 | C3×D32 | 1 | 1 | yes | characteristic, complemented |
| 780 | C33 | C3×D32 | 1 | 1 | yes | characteristic, complemented |
| 781 | C33 | C3×D32 | 1 | 1 | yes | characteristic, complemented |
| 782 | C33 | C2×C32×D3 | 1 | 1 | yes | characteristic |
| 783 | 3−1+2 | — | 2 | 1 | no | — |
| 784 | 3−1+2 | — | 2 | 1 | no | — |
| 785 | 3−1+2 | — | 2 | 1 | no | — |
| 786 | 3−1+2 | — | 4 | 1 | no | — |
| 787 | 3−1+2 | — | 4 | 1 | no | — |
| 788 | 3−1+2 | — | 4 | 1 | no | — |
| 789 | 3−1+2 | — | 6 | 2 | no | — |
| 790 | 3−1+2 | — | 12 | 2 | no | — |
| 791 | 3−1+2 | — | 12 | 2 | no | — |
| 792 | 3−1+2 | — | 12 | 2 | no | — |
| 793 | 3−1+2 | — | 12 | 1 | no | — |
| 794 | 3−1+2 | — | 12 | 1 | no | — |
| 795 | 3−1+2 | — | 12 | 1 | no | — |
| 796 | 3−1+2 | — | 12 | 2 | no | — |
| 797 | H(3,𝔽3) | — | 2 | 1 | no | — |
| 798 | H(3,𝔽3) | — | 2 | 1 | no | — |
| 799 | H(3,𝔽3) | — | 4 | 1 | no | — |
| 800 | H(3,𝔽3) | — | 6 | 1 | no | — |
| 801 | H(3,𝔽3) | — | 6 | 1 | no | — |
| 802 | H(3,𝔽3) | — | 12 | 1 | no | — |
| 803 | H(3,𝔽3) | — | 12 | 1 | no | — |
| 804 | H(3,𝔽3) | — | 12 | 1 | no | — |
| 805 | H(3,𝔽3) | — | 12 | 2 | no | — |
| 806 | H(3,𝔽3) | C2×C32×D3 | 1 | 1 | yes | characteristic, complemented |
| 807 | C3×C9 | — | 6 | 1 | no | — |
| 808 | C3×C9 | — | 6 | 1 | no | — |
| 809 | C3×C9 | — | 6 | 1 | no | — |
| 810 | C3×C9 | — | 6 | 1 | no | — |
| 811 | C3×C9 | — | 12 | 1 | no | — |
| 812 | C3×C9 | — | 12 | 1 | no | — |
| 813 | C3×C9 | — | 12 | 1 | no | — |
| 814 | C3×C9 | — | 12 | 1 | no | — |
| 815 | C2×C32 | — | 3 | 1 | no | — |
| 816 | C2×C32 | — | 3 | 1 | no | — |
| 817 | C2×C32 | — | 6 | 1 | no | — |
| 818 | C2×C32 | — | 9 | 1 | no | — |
| 819 | C2×C32 | — | 9 | 1 | no | — |
| 820 | C2×C32 | — | 9 | 1 | no | — |
| 821 | C2×C32 | — | 9 | 1 | no | — |
| 822 | C2×C32 | — | 9 | 1 | no | — |
| 823 | C2×C32 | — | 9 | 1 | no | — |
| 824 | C2×C32 | — | 9 | 1 | no | — |
| 825 | C2×C32 | — | 9 | 1 | no | — |
| 826 | C2×C32 | — | 9 | 1 | no | — |
| 827 | C2×C32 | — | 9 | 1 | no | — |
| 828 | C2×C32 | — | 9 | 1 | no | — |
| 829 | C2×C32 | — | 9 | 1 | no | — |
| 830 | C2×C32 | — | 9 | 1 | no | — |
| 831 | C2×C32 | — | 9 | 1 | no | — |
| 832 | C2×C32 | — | 9 | 1 | no | — |
| 833 | C2×C32 | — | 9 | 1 | no | — |
| 834 | C2×C32 | — | 9 | 1 | no | — |
| 835 | C2×C32 | — | 9 | 1 | no | — |
| 836 | C2×C32 | — | 9 | 1 | no | — |
| 837 | C2×C32 | — | 9 | 1 | no | — |
| 838 | C2×C32 | — | 9 | 1 | no | — |
| 839 | C2×C32 | — | 9 | 1 | no | — |
| 840 | C2×C32 | — | 9 | 1 | no | — |
| 841 | C2×C32 | — | 9 | 1 | no | — |
| 842 | C2×C32 | — | 9 | 1 | no | — |
| 843 | C2×C32 | — | 9 | 1 | no | — |
| 844 | C2×C32 | — | 9 | 1 | no | — |
| 845 | C2×C32 | — | 9 | 1 | no | — |
| 846 | C2×C32 | — | 9 | 1 | no | — |
| 847 | C2×C32 | — | 9 | 1 | no | — |
| 848 | C2×C32 | — | 9 | 1 | no | — |
| 849 | C2×C32 | — | 9 | 1 | no | — |
| 850 | C2×C32 | — | 9 | 1 | no | — |
| 851 | C2×C32 | — | 9 | 1 | no | — |
| 852 | C2×C32 | — | 9 | 1 | no | — |
| 853 | C2×C32 | — | 9 | 1 | no | — |
| 854 | C2×C32 | — | 18 | 1 | no | — |
| 855 | C2×C32 | — | 18 | 1 | no | — |
| 856 | C2×C32 | — | 18 | 1 | no | — |
| 857 | C2×C32 | — | 18 | 1 | no | — |
| 858 | C2×C32 | — | 18 | 1 | no | — |
| 859 | C2×C32 | — | 18 | 1 | no | — |
| 860 | C2×C32 | — | 18 | 1 | no | — |
| 861 | C2×C32 | — | 18 | 1 | no | — |
| 862 | C2×C32 | — | 18 | 1 | no | — |
| 863 | C2×C32 | — | 18 | 1 | no | — |
| 864 | C2×C32 | — | 18 | 1 | no | — |
| 865 | C2×C32 | — | 18 | 1 | no | — |
| 866 | C2×C32 | — | 18 | 1 | no | — |
| 867 | C2×C32 | — | 18 | 1 | no | — |
| 868 | C2×C32 | — | 18 | 1 | no | — |
| 869 | C2×C32 | — | 18 | 1 | no | — |
| 870 | C2×C32 | — | 18 | 1 | no | — |
| 871 | C2×C32 | — | 18 | 1 | no | — |
| 872 | C2×C32 | — | 18 | 1 | no | — |
| 873 | C2×C32 | — | 18 | 1 | no | — |
| 874 | C2×C32 | — | 18 | 1 | no | — |
| 875 | C2×C32 | — | 18 | 1 | no | — |
| 876 | C2×C32 | — | 18 | 1 | no | — |
| 877 | C2×C32 | — | 18 | 1 | no | — |
| 878 | C2×C32 | — | 18 | 1 | no | — |
| 879 | C2×C32 | — | 18 | 1 | no | — |
| 880 | C2×C32 | — | 18 | 1 | no | — |
| 881 | C2×C32 | — | 18 | 1 | no | — |
| 882 | C2×C32 | — | 18 | 1 | no | — |
| 883 | C2×C32 | — | 18 | 1 | no | — |
| 884 | C2×C32 | — | 18 | 1 | no | — |
| 885 | C2×C32 | — | 18 | 1 | no | — |
| 886 | C2×C32 | — | 18 | 1 | no | — |
| 887 | C2×C32 | — | 18 | 1 | no | — |
| 888 | C2×C32 | — | 18 | 1 | no | — |
| 889 | C2×C32 | — | 18 | 1 | no | — |
| 890 | C2×C32 | — | 18 | 1 | no | — |
| 891 | C2×C32 | — | 18 | 1 | no | — |
| 892 | C2×C32 | — | 18 | 1 | no | — |
| 893 | C2×C32 | — | 18 | 1 | no | — |
| 894 | C2×C32 | — | 18 | 1 | no | — |
| 895 | C2×C32 | — | 18 | 1 | no | — |
| 896 | C2×C32 | — | 18 | 1 | no | — |
| 897 | C2×C32 | — | 18 | 1 | no | — |
| 898 | C2×C32 | — | 18 | 1 | no | — |
| 899 | C2×C32 | — | 18 | 1 | no | — |
| 900 | C2×C32 | — | 18 | 1 | no | — |
| 901 | C2×C32 | — | 18 | 1 | no | — |
| 902 | C2×C32 | — | 18 | 1 | no | — |
| 903 | C2×C32 | — | 18 | 1 | no | — |
| 904 | C2×C32 | — | 18 | 1 | no | — |
| 905 | C2×C32 | — | 18 | 1 | no | — |
| 906 | C2×C32 | — | 18 | 1 | no | — |
| 907 | C2×C32 | — | 18 | 1 | no | — |
| 908 | C2×C32 | — | 18 | 1 | no | — |
| 909 | C2×C32 | — | 18 | 1 | no | — |
| 910 | C2×C32 | — | 18 | 1 | no | — |
| 911 | C2×C32 | — | 18 | 1 | no | — |
| 912 | C2×C32 | — | 18 | 1 | no | — |
| 913 | C2×C32 | — | 18 | 1 | no | — |
| 914 | C2×C32 | — | 18 | 1 | no | — |
| 915 | C2×C32 | — | 18 | 1 | no | — |
| 916 | C2×C32 | — | 18 | 1 | no | — |
| 917 | C2×C32 | — | 18 | 1 | no | — |
| 918 | C2×C32 | — | 18 | 1 | no | — |
| 919 | C2×C32 | — | 18 | 1 | no | — |
| 920 | C2×C32 | — | 18 | 1 | no | — |
| 921 | C2×C32 | — | 18 | 1 | no | — |
| 922 | C2×C32 | — | 18 | 1 | no | — |
| 923 | C2×C32 | — | 18 | 1 | no | — |
| 924 | C2×C32 | — | 18 | 1 | no | — |
| 925 | C2×C32 | — | 18 | 1 | no | — |
| 926 | C2×C32 | — | 18 | 1 | no | — |
| 927 | C2×C32 | — | 18 | 1 | no | — |
| 928 | C2×C32 | — | 18 | 1 | no | — |
| 929 | C2×C32 | — | 18 | 1 | no | — |
| 930 | C2×C32 | — | 18 | 1 | no | — |
| 931 | C2×C32 | — | 27 | 1 | no | — |
| 932 | C2×C32 | — | 27 | 1 | no | — |
| 933 | C2×C32 | — | 27 | 1 | no | — |
| 934 | C2×C32 | — | 27 | 1 | no | — |
| 935 | C2×C32 | — | 27 | 1 | no | — |
| 936 | C2×C32 | — | 27 | 1 | no | — |
| 937 | C2×C32 | — | 27 | 1 | no | — |
| 938 | C2×C32 | — | 27 | 1 | no | — |
| 939 | C2×C32 | — | 27 | 1 | no | — |
| 940 | C2×C32 | — | 27 | 1 | no | — |
| 941 | C2×C32 | — | 27 | 1 | no | — |
| 942 | C2×C32 | — | 27 | 1 | no | — |
| 943 | C2×C32 | — | 27 | 1 | no | — |
| 944 | C2×C32 | — | 27 | 1 | no | — |
| 945 | C2×C32 | — | 27 | 1 | no | — |
| 946 | C2×C32 | — | 27 | 1 | no | — |
| 947 | C3⋊D3 | — | 3 | 1 | no | — |
| 948 | C3⋊D3 | — | 9 | 1 | no | — |
| 949 | C3×D3 | — | 3 | 1 | no | — |
| 950 | C3×D3 | — | 3 | 1 | no | — |
| 951 | C3×D3 | — | 3 | 1 | no | — |
| 952 | C3×D3 | — | 3 | 1 | no | — |
| 953 | C3×D3 | — | 3 | 1 | no | — |
| 954 | C3×D3 | — | 3 | 1 | no | — |
| 955 | C3×D3 | — | 3 | 1 | no | — |
| 956 | C3×D3 | — | 3 | 1 | no | — |
| 957 | C3×D3 | — | 3 | 1 | no | — |
| 958 | C3×D3 | — | 3 | 1 | no | — |
| 959 | C3×D3 | — | 3 | 1 | no | — |
| 960 | C3×D3 | — | 3 | 1 | no | — |
| 961 | C3×D3 | — | 3 | 1 | no | — |
| 962 | C3×D3 | — | 3 | 1 | no | — |
| 963 | C3×D3 | — | 3 | 1 | no | — |
| 964 | C3×D3 | — | 3 | 1 | no | — |
| 965 | C3×D3 | — | 3 | 1 | no | — |
| 966 | C3×D3 | — | 6 | 1 | no | — |
| 967 | C3×D3 | — | 6 | 1 | no | — |
| 968 | C3×D3 | — | 6 | 1 | no | — |
| 969 | C3×D3 | — | 6 | 1 | no | — |
| 970 | C3×D3 | — | 6 | 1 | no | — |
| 971 | C3×D3 | — | 6 | 1 | no | — |
| 972 | C3×D3 | — | 6 | 1 | no | — |
| 973 | C3×D3 | — | 6 | 1 | no | — |
| 974 | C3×D3 | — | 6 | 1 | no | — |
| 975 | C3×D3 | — | 6 | 1 | no | — |
| 976 | C3×D3 | — | 6 | 1 | no | — |
| 977 | C3×D3 | — | 6 | 1 | no | — |
| 978 | C3×D3 | — | 6 | 1 | no | — |
| 979 | C3×D3 | — | 6 | 1 | no | — |
| 980 | C3×D3 | — | 6 | 1 | no | — |
| 981 | C3×D3 | — | 6 | 1 | no | — |
| 982 | C3×D3 | — | 6 | 1 | no | — |
| 983 | C3×D3 | — | 6 | 1 | no | — |
| 984 | C3×D3 | — | 6 | 1 | no | — |
| 985 | C3×D3 | — | 6 | 1 | no | — |
| 986 | C3×D3 | — | 6 | 1 | no | — |
| 987 | C3×D3 | — | 9 | 1 | no | — |
| 988 | C3×D3 | — | 9 | 1 | no | — |
| 989 | C3×D3 | — | 9 | 1 | no | — |
| 990 | C3×D3 | — | 9 | 1 | no | — |
| 991 | C3×D3 | — | 9 | 1 | no | — |
| 992 | C3×D3 | — | 9 | 1 | no | — |
| 993 | C3×D3 | — | 9 | 1 | no | — |
| 994 | C3×D3 | — | 9 | 1 | no | — |
| 995 | C3×D3 | — | 9 | 1 | no | — |
| 996 | C3×D3 | — | 9 | 1 | no | — |
| 997 | C3×D3 | — | 9 | 1 | no | — |
| 998 | C3×D3 | — | 9 | 1 | no | — |
| 999 | C3×D3 | — | 9 | 1 | no | — |
| 1000 | C3×D3 | — | 9 | 1 | no | — |
| 1001 | C3×D3 | — | 9 | 1 | no | — |
| 1002 | C3×D3 | — | 9 | 1 | no | — |
| 1003 | C3×D3 | — | 9 | 1 | no | — |
| 1004 | C3×D3 | — | 9 | 1 | no | — |
| 1005 | C3×D3 | — | 9 | 1 | no | — |
| 1006 | C3×D3 | — | 9 | 1 | no | — |
| 1007 | C3×D3 | — | 9 | 1 | no | — |
| 1008 | C3×D3 | — | 9 | 1 | no | — |
| 1009 | C3×D3 | — | 9 | 1 | no | — |
| 1010 | C3×D3 | — | 9 | 1 | no | — |
| 1011 | C3×D3 | — | 9 | 1 | no | — |
| 1012 | C3×D3 | — | 9 | 1 | no | — |
| 1013 | C3×D3 | — | 9 | 1 | no | — |
| 1014 | C3×D3 | — | 9 | 1 | no | — |
| 1015 | C3×D3 | — | 9 | 1 | no | — |
| 1016 | C3×D3 | — | 9 | 1 | no | — |
| 1017 | C3×D3 | — | 9 | 1 | no | — |
| 1018 | C3×D3 | — | 9 | 1 | no | — |
| 1019 | C3×D3 | — | 18 | 1 | no | — |
| 1020 | C3×D3 | — | 18 | 1 | no | — |
| 1021 | C3×D3 | — | 18 | 1 | no | — |
| 1022 | C3×D3 | — | 18 | 1 | no | — |
| 1023 | C3×D3 | — | 18 | 1 | no | — |
| 1024 | C3×D3 | — | 18 | 1 | no | — |
| 1025 | C3×D3 | — | 18 | 1 | no | — |
| 1026 | C3×D3 | — | 18 | 1 | no | — |
| 1027 | C3×D3 | — | 18 | 1 | no | — |
| 1028 | C3×D3 | — | 18 | 1 | no | — |
| 1029 | C3×D3 | — | 18 | 1 | no | — |
| 1030 | C3×D3 | — | 18 | 1 | no | — |
| 1031 | C3×D3 | — | 18 | 1 | no | — |
| 1032 | C3×D3 | — | 18 | 1 | no | — |
| 1033 | C3×D3 | — | 18 | 1 | no | — |
| 1034 | C3×D3 | — | 18 | 1 | no | — |
| 1035 | C3×D3 | — | 18 | 1 | no | — |
| 1036 | C3×D3 | — | 18 | 1 | no | — |
| 1037 | C3×D3 | — | 27 | 1 | no | — |
| 1038 | C3×D3 | — | 27 | 1 | no | — |
| 1039 | C3×D3 | — | 27 | 1 | no | — |
| 1040 | C3×D3 | — | 27 | 1 | no | — |
| 1041 | C3×D3 | — | 54 | 1 | no | — |
| 1042 | C3×D3 | — | 54 | 1 | no | — |
| 1043 | C3×D3 | — | 54 | 1 | no | — |
| 1044 | C3×D3 | — | 54 | 1 | no | — |
| 1045 | C3×D3 | #4174 | 1 | 1 | yes | characteristic, direct product factor |
| 1046 | C3×D3 | #4174 | 1 | 1 | yes | characteristic, direct product factor |
| 1047 | C3×D3 | #4174 | 1 | 1 | yes | characteristic, direct product factor |
| 1048 | C3×D3 | C3×(C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic |
| 1049 | C2×C9 | — | 18 | 1 | no | — |
| 1050 | C2×C9 | — | 18 | 1 | no | — |
| 1051 | C2×C9 | — | 18 | 1 | no | — |
| 1052 | C22×C3 | — | 27 | 1 | no | — |
| 1053 | C22×C3 | — | 27 | 1 | no | — |
| 1054 | C22×C3 | — | 27 | 1 | no | — |
| 1055 | C22×C3 | — | 27 | 1 | no | — |
| 1056 | C22×C3 | — | 27 | 1 | no | — |
| 1057 | C22×C3 | — | 27 | 1 | no | — |
| 1058 | C22×C3 | — | 27 | 1 | no | — |
| 1059 | C22×C3 | — | 27 | 1 | no | — |
| 1060 | C22×C3 | — | 27 | 1 | no | — |
| 1061 | C22×C3 | — | 27 | 1 | no | — |
| 1062 | C22×C3 | — | 27 | 1 | no | — |
| 1063 | C22×C3 | — | 27 | 1 | no | — |
| 1064 | C22×C3 | — | 27 | 1 | no | — |
| 1065 | C2×D3 | — | 9 | 1 | no | — |
| 1066 | C2×D3 | — | 9 | 1 | no | — |
| 1067 | C2×D3 | — | 27 | 1 | no | — |
| 1068 | C32 | — | 2 | 1 | no | — |
| 1069 | C32 | — | 2 | 1 | no | — |
| 1070 | C32 | — | 2 | 1 | no | — |
| 1071 | C32 | — | 2 | 1 | no | — |
| 1072 | C32 | — | 2 | 1 | no | — |
| 1073 | C32 | — | 2 | 1 | no | — |
| 1074 | C32 | — | 3 | 1 | no | — |
| 1075 | C32 | — | 3 | 1 | no | — |
| 1076 | C32 | — | 3 | 1 | no | — |
| 1077 | C32 | — | 3 | 1 | no | — |
| 1078 | C32 | — | 3 | 1 | no | — |
| 1079 | C32 | — | 3 | 1 | no | — |
| 1080 | C32 | — | 3 | 1 | no | — |
| 1081 | C32 | — | 3 | 1 | no | — |
| 1082 | C32 | — | 3 | 1 | no | — |
| 1083 | C32 | — | 3 | 1 | no | — |
| 1084 | C32 | — | 3 | 1 | no | — |
| 1085 | C32 | — | 3 | 1 | no | — |
| 1086 | C32 | — | 3 | 1 | no | — |
| 1087 | C32 | — | 4 | 1 | no | — |
| 1088 | C32 | — | 6 | 1 | no | — |
| 1089 | C32 | — | 6 | 1 | no | — |
| 1090 | C32 | — | 6 | 1 | no | — |
| 1091 | C32 | — | 6 | 1 | no | — |
| 1092 | C32 | — | 6 | 1 | no | — |
| 1093 | C32 | — | 6 | 1 | no | — |
| 1094 | C32 | — | 6 | 1 | no | — |
| 1095 | C32 | — | 6 | 1 | no | — |
| 1096 | C32 | — | 6 | 1 | no | — |
| 1097 | C32 | — | 6 | 1 | no | — |
| 1098 | C32 | — | 6 | 1 | no | — |
| 1099 | C32 | — | 6 | 1 | no | — |
| 1100 | C32 | — | 6 | 1 | no | — |
| 1101 | C32 | — | 6 | 1 | no | — |
| 1102 | C32 | — | 6 | 1 | no | — |
| 1103 | C32 | — | 6 | 1 | no | — |
| 1104 | C32 | — | 6 | 1 | no | — |
| 1105 | C32 | — | 6 | 1 | no | — |
| 1106 | C32 | — | 6 | 1 | no | — |
| 1107 | C32 | — | 6 | 1 | no | — |
| 1108 | C32 | — | 6 | 1 | no | — |
| 1109 | C32 | — | 6 | 1 | no | — |
| 1110 | C32 | — | 6 | 1 | no | — |
| 1111 | C32 | — | 6 | 1 | no | — |
| 1112 | C32 | — | 6 | 1 | no | — |
| 1113 | C32 | — | 6 | 1 | no | — |
| 1114 | C32 | — | 6 | 1 | no | — |
| 1115 | C32 | — | 6 | 1 | no | — |
| 1116 | C32 | — | 6 | 1 | no | — |
| 1117 | C32 | — | 6 | 1 | no | — |
| 1118 | C32 | — | 6 | 1 | no | — |
| 1119 | C32 | — | 6 | 1 | no | — |
| 1120 | C32 | — | 6 | 1 | no | — |
| 1121 | C32 | — | 6 | 1 | no | — |
| 1122 | C32 | — | 6 | 1 | no | — |
| 1123 | C32 | — | 6 | 1 | no | — |
| 1124 | C32 | — | 6 | 1 | no | — |
| 1125 | C32 | — | 6 | 1 | no | — |
| 1126 | C32 | — | 6 | 1 | no | — |
| 1127 | C32 | — | 6 | 1 | no | — |
| 1128 | C32 | — | 6 | 1 | no | — |
| 1129 | C32 | — | 6 | 1 | no | — |
| 1130 | C32 | — | 6 | 1 | no | — |
| 1131 | C32 | — | 6 | 1 | no | — |
| 1132 | C32 | — | 6 | 1 | no | — |
| 1133 | C32 | — | 6 | 1 | no | — |
| 1134 | C32 | — | 6 | 1 | no | — |
| 1135 | C32 | — | 6 | 1 | no | — |
| 1136 | C32 | — | 6 | 1 | no | — |
| 1137 | C32 | — | 6 | 1 | no | — |
| 1138 | C32 | — | 6 | 1 | no | — |
| 1139 | C32 | — | 6 | 1 | no | — |
| 1140 | C32 | — | 6 | 1 | no | — |
| 1141 | C32 | — | 6 | 1 | no | — |
| 1142 | C32 | — | 6 | 1 | no | — |
| 1143 | C32 | — | 6 | 1 | no | — |
| 1144 | C32 | — | 6 | 1 | no | — |
| 1145 | C32 | — | 6 | 1 | no | — |
| 1146 | C32 | — | 6 | 1 | no | — |
| 1147 | C32 | — | 6 | 1 | no | — |
| 1148 | C32 | — | 6 | 1 | no | — |
| 1149 | C32 | — | 6 | 1 | no | — |
| 1150 | C32 | — | 6 | 1 | no | — |
| 1151 | C32 | — | 6 | 1 | no | — |
| 1152 | C32 | — | 9 | 1 | no | — |
| 1153 | C32 | — | 9 | 1 | no | — |
| 1154 | C32 | — | 9 | 1 | no | — |
| 1155 | C32 | — | 9 | 1 | no | — |
| 1156 | C32 | — | 12 | 1 | no | — |
| 1157 | C32 | — | 12 | 1 | no | — |
| 1158 | C32 | — | 12 | 1 | no | — |
| 1159 | C32 | — | 12 | 1 | no | — |
| 1160 | C32 | — | 12 | 1 | no | — |
| 1161 | C32 | — | 12 | 1 | no | — |
| 1162 | C32 | — | 12 | 1 | no | — |
| 1163 | C32 | — | 12 | 1 | no | — |
| 1164 | C32 | — | 12 | 1 | no | — |
| 1165 | C32 | — | 12 | 1 | no | — |
| 1166 | C32 | — | 12 | 1 | no | — |
| 1167 | C32 | — | 12 | 1 | no | — |
| 1168 | C32 | — | 12 | 1 | no | — |
| 1169 | C32 | — | 12 | 1 | no | — |
| 1170 | C32 | — | 12 | 1 | no | — |
| 1171 | C32 | — | 12 | 1 | no | — |
| 1172 | C32 | — | 12 | 1 | no | — |
| 1173 | C32 | — | 12 | 1 | no | — |
| 1174 | C32 | — | 12 | 1 | no | — |
| 1175 | C32 | — | 12 | 1 | no | — |
| 1176 | C32 | — | 12 | 1 | no | — |
| 1177 | C32 | — | 12 | 1 | no | — |
| 1178 | C32 | — | 12 | 1 | no | — |
| 1179 | C32 | — | 12 | 1 | no | — |
| 1180 | C32 | — | 12 | 1 | no | — |
| 1181 | C32 | — | 12 | 1 | no | — |
| 1182 | C32 | — | 12 | 1 | no | — |
| 1183 | C32 | — | 12 | 1 | no | — |
| 1184 | C32 | — | 12 | 1 | no | — |
| 1185 | C32 | — | 12 | 1 | no | — |
| 1186 | C32 | — | 12 | 1 | no | — |
| 1187 | C32 | — | 12 | 1 | no | — |
| 1188 | C32 | — | 12 | 1 | no | — |
| 1189 | C32 | — | 12 | 1 | no | — |
| 1190 | C32 | — | 12 | 1 | no | — |
| 1191 | C32 | — | 12 | 1 | no | — |
| 1192 | C32 | — | 12 | 1 | no | — |
| 1193 | C32 | — | 12 | 1 | no | — |
| 1194 | C32 | — | 12 | 1 | no | — |
| 1195 | C32 | — | 12 | 1 | no | — |
| 1196 | C32 | — | 12 | 1 | no | — |
| 1197 | C32 | — | 12 | 1 | no | — |
| 1198 | C32 | — | 12 | 1 | no | — |
| 1199 | C32 | — | 12 | 1 | no | — |
| 1200 | C32 | — | 12 | 1 | no | — |
| 1201 | C32 | — | 12 | 1 | no | — |
| 1202 | C32 | — | 12 | 1 | no | — |
| 1203 | C32 | — | 12 | 1 | no | — |
| 1204 | C32 | — | 12 | 1 | no | — |
| 1205 | C32 | — | 12 | 1 | no | — |
| 1206 | C32 | — | 12 | 1 | no | — |
| 1207 | C32 | — | 12 | 1 | no | — |
| 1208 | C32 | — | 12 | 1 | no | — |
| 1209 | C32 | — | 12 | 1 | no | — |
| 1210 | C32 | — | 12 | 1 | no | — |
| 1211 | C32 | — | 12 | 1 | no | — |
| 1212 | C32 | — | 12 | 1 | no | — |
| 1213 | C32 | — | 12 | 1 | no | — |
| 1214 | C32 | — | 12 | 1 | no | — |
| 1215 | C32 | — | 12 | 1 | no | — |
| 1216 | C32 | — | 12 | 1 | no | — |
| 1217 | C32 | — | 12 | 1 | no | — |
| 1218 | C32 | — | 12 | 1 | no | — |
| 1219 | C32 | — | 12 | 1 | no | — |
| 1220 | C32 | — | 12 | 1 | no | — |
| 1221 | C32 | — | 12 | 1 | no | — |
| 1222 | C32 | — | 12 | 1 | no | — |
| 1223 | C32 | — | 12 | 1 | no | — |
| 1224 | C32 | — | 12 | 1 | no | — |
| 1225 | C32 | — | 12 | 1 | no | — |
| 1226 | C32 | — | 12 | 1 | no | — |
| 1227 | C32 | — | 12 | 1 | no | — |
| 1228 | C32 | — | 12 | 1 | no | — |
| 1229 | C32 | — | 12 | 1 | no | — |
| 1230 | C32 | — | 12 | 1 | no | — |
| 1231 | C32 | — | 12 | 1 | no | — |
| 1232 | C32 | — | 12 | 1 | no | — |
| 1233 | C32 | — | 12 | 1 | no | — |
| 1234 | C32 | — | 12 | 1 | no | — |
| 1235 | C32 | — | 12 | 1 | no | — |
| 1236 | C32 | — | 12 | 1 | no | — |
| 1237 | C32 | — | 12 | 1 | no | — |
| 1238 | C32 | — | 12 | 1 | no | — |
| 1239 | C32 | — | 12 | 1 | no | — |
| 1240 | C32 | — | 12 | 1 | no | — |
| 1241 | C32 | — | 12 | 1 | no | — |
| 1242 | C32 | — | 12 | 1 | no | — |
| 1243 | C32 | — | 12 | 1 | no | — |
| 1244 | C32 | — | 12 | 1 | no | — |
| 1245 | C32 | — | 12 | 1 | no | — |
| 1246 | C32 | — | 12 | 1 | no | — |
| 1247 | C32 | — | 12 | 1 | no | — |
| 1248 | C32 | — | 12 | 1 | no | — |
| 1249 | C32 | — | 18 | 1 | no | — |
| 1250 | C32 | — | 18 | 1 | no | — |
| 1251 | C32 | — | 18 | 1 | no | — |
| 1252 | C32 | — | 18 | 1 | no | — |
| 1253 | C32 | — | 18 | 1 | no | — |
| 1254 | C32 | — | 36 | 1 | no | — |
| 1255 | C32 | — | 36 | 1 | no | — |
| 1256 | C32 | — | 36 | 1 | no | — |
| 1257 | C32 | — | 36 | 1 | no | — |
| 1258 | C32 | — | 36 | 1 | no | — |
| 1259 | C32 | — | 36 | 1 | no | — |
| 1260 | C32 | — | 36 | 1 | no | — |
| 1261 | C32 | C2×#4174 | 1 | 1 | yes | characteristic, complemented |
| 1262 | C32 | C2×#4174 | 1 | 1 | yes | characteristic, complemented |
| 1263 | C32 | C2×#4174 | 1 | 1 | yes | characteristic, complemented |
| 1264 | C32 | D3×(C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic |
| 1265 | C32 | C2×C3×(C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic |
| 1266 | C32 | C32×D32 | 1 | 1 | yes | characteristic |
| 1267 | C9 | — | 6 | 1 | no | — |
| 1268 | C9 | — | 6 | 1 | no | — |
| 1269 | C9 | — | 6 | 1 | no | — |
| 1270 | C9 | — | 12 | 1 | no | — |
| 1271 | C9 | — | 12 | 1 | no | — |
| 1272 | C9 | — | 12 | 1 | no | — |
| 1273 | C2×C3 | — | 3 | 1 | no | — |
| 1274 | C2×C3 | — | 3 | 1 | no | — |
| 1275 | C2×C3 | — | 3 | 1 | no | — |
| 1276 | C2×C3 | — | 3 | 1 | no | — |
| 1277 | C2×C3 | — | 9 | 1 | no | — |
| 1278 | C2×C3 | — | 9 | 1 | no | — |
| 1279 | C2×C3 | — | 9 | 1 | no | — |
| 1280 | C2×C3 | — | 9 | 1 | no | — |
| 1281 | C2×C3 | — | 9 | 1 | no | — |
| 1282 | C2×C3 | — | 9 | 1 | no | — |
| 1283 | C2×C3 | — | 9 | 1 | no | — |
| 1284 | C2×C3 | — | 9 | 1 | no | — |
| 1285 | C2×C3 | — | 9 | 1 | no | — |
| 1286 | C2×C3 | — | 9 | 1 | no | — |
| 1287 | C2×C3 | — | 9 | 1 | no | — |
| 1288 | C2×C3 | — | 9 | 1 | no | — |
| 1289 | C2×C3 | — | 9 | 1 | no | — |
| 1290 | C2×C3 | — | 9 | 1 | no | — |
| 1291 | C2×C3 | — | 9 | 1 | no | — |
| 1292 | C2×C3 | — | 9 | 1 | no | — |
| 1293 | C2×C3 | — | 9 | 1 | no | — |
| 1294 | C2×C3 | — | 9 | 1 | no | — |
| 1295 | C2×C3 | — | 9 | 1 | no | — |
| 1296 | C2×C3 | — | 18 | 1 | no | — |
| 1297 | C2×C3 | — | 18 | 1 | no | — |
| 1298 | C2×C3 | — | 18 | 1 | no | — |
| 1299 | C2×C3 | — | 18 | 1 | no | — |
| 1300 | C2×C3 | — | 18 | 1 | no | — |
| 1301 | C2×C3 | — | 18 | 1 | no | — |
| 1302 | C2×C3 | — | 18 | 1 | no | — |
| 1303 | C2×C3 | — | 18 | 1 | no | — |
| 1304 | C2×C3 | — | 18 | 1 | no | — |
| 1305 | C2×C3 | — | 18 | 1 | no | — |
| 1306 | C2×C3 | — | 18 | 1 | no | — |
| 1307 | C2×C3 | — | 18 | 1 | no | — |
| 1308 | C2×C3 | — | 18 | 1 | no | — |
| 1309 | C2×C3 | — | 18 | 1 | no | — |
| 1310 | C2×C3 | — | 18 | 1 | no | — |
| 1311 | C2×C3 | — | 18 | 1 | no | — |
| 1312 | C2×C3 | — | 18 | 1 | no | — |
| 1313 | C2×C3 | — | 18 | 1 | no | — |
| 1314 | C2×C3 | — | 18 | 1 | no | — |
| 1315 | C2×C3 | — | 27 | 1 | no | — |
| 1316 | C2×C3 | — | 27 | 1 | no | — |
| 1317 | C2×C3 | — | 27 | 1 | no | — |
| 1318 | C2×C3 | — | 27 | 1 | no | — |
| 1319 | C2×C3 | — | 27 | 1 | no | — |
| 1320 | C2×C3 | — | 27 | 1 | no | — |
| 1321 | C2×C3 | — | 27 | 1 | no | — |
| 1322 | C2×C3 | — | 27 | 1 | no | — |
| 1323 | C2×C3 | — | 27 | 1 | no | — |
| 1324 | C2×C3 | — | 27 | 1 | no | — |
| 1325 | C2×C3 | — | 27 | 1 | no | — |
| 1326 | C2×C3 | — | 27 | 1 | no | — |
| 1327 | C2×C3 | — | 27 | 1 | no | — |
| 1328 | C2×C3 | — | 27 | 1 | no | — |
| 1329 | C2×C3 | — | 54 | 1 | no | — |
| 1330 | D3 | — | 3 | 1 | no | — |
| 1331 | D3 | — | 9 | 1 | no | — |
| 1332 | D3 | — | 9 | 1 | no | — |
| 1333 | D3 | — | 9 | 1 | no | — |
| 1334 | D3 | — | 18 | 1 | no | — |
| 1335 | D3 | — | 27 | 1 | no | — |
| 1336 | D3 | — | 54 | 1 | no | — |
| 1337 | D3 | C3×#4174 | 1 | 1 | yes | characteristic, direct product factor |
| 1338 | C22 | — | 27 | 1 | no | Sylow |
| 1339 | C3 | — | 2 | 1 | no | — |
| 1340 | C3 | — | 2 | 1 | no | — |
| 1341 | C3 | — | 2 | 1 | no | — |
| 1342 | C3 | — | 2 | 1 | no | — |
| 1343 | C3 | — | 3 | 1 | no | — |
| 1344 | C3 | — | 3 | 1 | no | — |
| 1345 | C3 | — | 3 | 1 | no | — |
| 1346 | C3 | — | 3 | 1 | no | — |
| 1347 | C3 | — | 3 | 1 | no | — |
| 1348 | C3 | — | 6 | 1 | no | — |
| 1349 | C3 | — | 6 | 1 | no | — |
| 1350 | C3 | — | 6 | 1 | no | — |
| 1351 | C3 | — | 6 | 1 | no | — |
| 1352 | C3 | — | 6 | 1 | no | — |
| 1353 | C3 | — | 6 | 1 | no | — |
| 1354 | C3 | — | 6 | 1 | no | — |
| 1355 | C3 | — | 9 | 1 | no | — |
| 1356 | C3 | — | 12 | 1 | no | — |
| 1357 | C3 | — | 12 | 1 | no | — |
| 1358 | C3 | — | 12 | 1 | no | — |
| 1359 | C3 | — | 12 | 1 | no | — |
| 1360 | C3 | — | 12 | 1 | no | — |
| 1361 | C3 | — | 12 | 1 | no | — |
| 1362 | C3 | — | 12 | 1 | no | — |
| 1363 | C3 | — | 12 | 1 | no | — |
| 1364 | C3 | — | 12 | 1 | no | — |
| 1365 | C3 | — | 12 | 1 | no | — |
| 1366 | C3 | — | 18 | 1 | no | — |
| 1367 | C3 | — | 36 | 1 | no | — |
| 1368 | C3 | — | 36 | 1 | no | — |
| 1369 | C3 | D3×#4174 | 1 | 1 | yes | characteristic, direct product factor |
| 1370 | C3 | D3×#4174 | 1 | 1 | yes | characteristic, direct product factor |
| 1371 | C3 | D3×#4174 | 1 | 1 | yes | characteristic, direct product factor |
| 1372 | C3 | C2×C3×#4174 | 1 | 1 | yes | characteristic, complemented |
| 1373 | C3 | C3×D3×(C3⋊D3)⋊C3 | 1 | 1 | yes | characteristic |
| 1374 | C2 | — | 3 | 1 | no | — |
| 1375 | C2 | — | 9 | 1 | no | — |
| 1376 | C2 | — | 27 | 1 | no | — |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C32 | D3×(C3⋊D3)⋊C3 |
| commutator, cosocle, hypocenter | C3×H(3,𝔽3) | C22×C32 |
| Frattini | C32 | C32×D32 |
| Fitting | C32×AΣL(1,𝔽27) | C22 |
| socle | C33 | C2×(C3⋊D3)⋊C3 |
| LCS | G ▷ C3×H(3,𝔽3) | |
| UCS | C1 ◁ C32 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3×C3⋊#4174 | C2 | semidirect |
| 2. C32×#4174 | C2 | semidirect |
| 3. C3×D3×AΣL(1,𝔽27) | C2 | semidirect |
| 5. C3×D3×#272 | C3 | semidirect |
| 7. D3×#4174 | C3 | direct (N × H) |
| 8. D3×#4174 | C3 | direct (N × H) |
| 9. D3×#4174 | C3 | direct (N × H) |
| 10. C32×AΣL(1,𝔽27) | C22 | semidirect |
| 13. C34×D3 | D3 | semidirect |
| 14. C3×C3⋊#272 | C2×C3 | semidirect |
| 15. C32×#272 | C2×C3 | semidirect |
| 17. C3×D3×H(3,𝔽3) | C2×C3 | semidirect |
| 19. C3⋊#4174 | C2×C3 | semidirect |
| 20. C3⋊#4174 | C2×C3 | semidirect |
| 21. C3⋊#4174 | C2×C3 | semidirect |
| 25. D3×AΣL(1,𝔽27) | C2×C3 | semidirect |
| 26. D3×AΣL(1,𝔽27) | C2×C3 | semidirect |
| 27. D3×AΣL(1,𝔽27) | C2×C3 | semidirect |
| 34. C3×#4174 | D3 | direct (N × H) |
| 35. C3×#4174 | C2×C3 | semidirect |
| 36. C3×#4174 | C2×C3 | semidirect |
| 37. C3×#4174 | C2×C3 | semidirect |
| 55. D3×#272 | C32 | semidirect |
| 59. C35 | C2×D3 | semidirect |
| 61. C32×H(3,𝔽3) | C22×C3 | semidirect |
| 74. C3×AΣL(1,𝔽27) | C2×D3 | semidirect |
| 75. C3×AΣL(1,𝔽27) | C22×C3 | semidirect |
| 76. C3×AΣL(1,𝔽27) | C22×C3 | semidirect |
| 77. C3×AΣL(1,𝔽27) | C22×C3 | semidirect |
| 138. C33×D3 | C3×D3 | semidirect |
| 139. C33×D3 | C3×D3 | semidirect |
| 140. C33×D3 | C3×D3 | semidirect |
| 143. C3⋊#272 | C2×C32 | semidirect |
| 148. C3×#272 | C3×D3 | semidirect |
| 149. C3×#272 | C2×C32 | semidirect |
| 156. D3×H(3,𝔽3) | C2×C32 | semidirect |
| 173. #4174 | C3×D3 | direct (N × H) |
| 174. #4174 | C3×D3 | direct (N × H) |
| 175. #4174 | C3×D3 | direct (N × H) |
| 249. C34 | D32 | semidirect |
| 251. C34 | C2×C3×D3 | semidirect |
| 252. C34 | C2×C3×D3 | semidirect |
| 253. C34 | C2×C3×D3 | semidirect |
| 272. C3×H(3,𝔽3) | C2×C3×D3 | semidirect |
| 273. C3×H(3,𝔽3) | C22×C32 | semidirect |
| 299. AΣL(1,𝔽27) | C2×C3×D3 | semidirect |
| 300. AΣL(1,𝔽27) | C2×C3×D3 | semidirect |
| 301. AΣL(1,𝔽27) | C2×C3×D3 | semidirect |
| 543. #272 | C32×D3 | semidirect |
| 779. C33 | C3×D32 | semidirect |
| 780. C33 | C3×D32 | semidirect |
| 781. C33 | C3×D32 | semidirect |
| 806. H(3,𝔽3) | C2×C32×D3 | semidirect |
| 1045. C3×D3 | #4174 | direct (N × H) |
| 1046. C3×D3 | #4174 | direct (N × H) |
| 1047. C3×D3 | #4174 | direct (N × H) |
| 1261. C32 | C2×#4174 | semidirect |
| 1262. C32 | C2×#4174 | semidirect |
| 1263. C32 | C2×#4174 | semidirect |
| 1337. D3 | C3×#4174 | direct (N × H) |
| 1369. C3 | D3×#4174 | direct (N × H) |
| 1370. C3 | D3×#4174 | direct (N × H) |
| 1371. C3 | D3×#4174 | direct (N × H) |
| 1372. C3 | C2×C3×#4174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C3⋊#4174 | 2 |
| C32×#4174 | 2 |
| C3×D3×AΣL(1,𝔽27) | 2 |
| C33×D32 | 3 |
| C3×D3×#272 | 3 |
| C2×C3×#4174 | 3 |
| D3×#4174 | 3 |