Finite Group DatabasebetaFinite Group DatabasebetaOrder 8748.
5090 conjugacy classes of subgroups; only the 192 normal subgroups are shown.
This group has 5090 conjugacy classes of subgroups — too many to draw. Only its 192 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 | #72243929 | — | 3 | 1 | no | maximal |
| 2 | D3×C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 3 | 1 | no | maximal |
| 3 | #72243895 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#11757735 | — | 3 | 1 | no | maximal |
| 5 | #72243671 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#13091645 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72221974 | — | 3 | 2 | no | maximal |
| 8 | #72221953 | — | 3 | 9 | no | maximal |
| 9 | #72221887 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C3×#10624930 | C22 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 11 | C3⋊(#4207⋊C3) | — | 6 | 1 | no | — |
| 12 | C3⋊#92391 | — | 3 | 1 | no | — |
| 13 | C3⋊#92391 | — | 3 | 1 | no | — |
| 14 | C3×#92392 | D3 | 1 | 1 | yes | characteristic, complemented |
| 15 | C3×C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 3 | 1 | no | — |
| 16 | C3⋊(C3⋊(C3⋊((C3⋊D3)⋊C3))) | D3 | 1 | 1 | yes | characteristic, complemented |
| 17 | C32×D3×H(3,𝔽3) | — | 3 | 1 | no | — |
| 18 | #13091647 | — | 3 | 9 | no | — |
| 19 | #13091647 | — | 6 | 9 | no | — |
| 20 | #13091645 | — | 2 | 9 | no | — |
| 21 | #13091645 | D3 | 1 | 9 | yes | complemented |
| 22 | #13091644 | — | 3 | 9 | no | — |
| 23 | C3⋊(#4183⋊C3) | — | 3 | 2 | no | — |
| 24 | C3⋊(#4183⋊C3) | — | 6 | 2 | no | — |
| 25 | C3×#92281 | — | 2 | 1 | no | — |
| 26 | C3×#92281 | — | 2 | 2 | no | — |
| 27 | C3×#92281 | D3 | 1 | 2 | yes | complemented |
| 28 | C3⋊(#4175⋊C3) | — | 3 | 2 | no | — |
| 29 | C3⋊(C3⋊#4183) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 30 | C3×C3⋊#4183 | — | 3 | 1 | no | — |
| 31 | C3×C3⋊#4183 | — | 6 | 1 | no | — |
| 32 | C32×#4174 | — | 2 | 1 | no | — |
| 33 | C32×#4174 | D3 | 1 | 1 | yes | characteristic, complemented |
| 34 | C32×#4174 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 35 | C3⋊(C3⋊#4175) | — | 2 | 1 | no | — |
| 36 | C3⋊(C3⋊#4175) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 37 | C3×C3⋊#4175 | — | 3 | 1 | no | — |
| 38 | D3×C3⋊(C3⋊(C3⋊D3)) | — | 3 | 1 | no | — |
| 39 | C3×D3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 40 | C2×C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 9 | 1 | no | — |
| 41 | #11758091 | — | 3 | 1 | no | — |
| 42 | #66432⋊C3 | — | 9 | 3 | no | — |
| 43 | C3×#66432 | — | 9 | 1 | no | — |
| 44 | D3×C3⋊((C3⋊D3)⋊C3) | — | 9 | 9 | no | — |
| 45 | D3×C3⋊((C3⋊D3)⋊C3) | — | 9 | 2 | no | — |
| 46 | D3×C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 47 | D3×C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 48 | #11757735 | — | 3 | 9 | no | — |
| 49 | #11757735 | — | 3 | 2 | no | — |
| 50 | #11757735 | — | 3 | 1 | no | — |
| 51 | (#4174⋊C2)⋊C3 | — | 9 | 6 | no | — |
| 52 | C3×#4174⋊C2 | — | 9 | 3 | no | — |
| 53 | C3×3−1+4 | — | 2 | 1 | no | — |
| 54 | C3×H(5,𝔽3) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 55 | C33×H(3,𝔽3) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 56 | #10624930 | — | 2 | 9 | no | — |
| 57 | #10624930 | — | 2 | 9 | no | — |
| 58 | #10624930 | — | 4 | 9 | no | — |
| 59 | #10624930 | C2×D3 | 1 | 9 | yes | complemented |
| 60 | C3×#6909 | — | 2 | 2 | no | — |
| 61 | C3×#6909 | — | 2 | 2 | no | — |
| 62 | C3×#6909 | — | 2 | 1 | no | — |
| 63 | C3×#6909 | — | 4 | 1 | no | — |
| 64 | C3×#6909 | — | 4 | 2 | no | — |
| 65 | C3×#6909 | C2×D3 | 1 | 2 | yes | complemented |
| 66 | C32×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 67 | C32×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 68 | C32×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 69 | C32×AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 70 | C32×AΣL(1,𝔽27) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 71 | C32×AΣL(1,𝔽27) | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 72 | C3⋊(C3⋊(C3⋊(C3⋊D3))) | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 73 | C3×C3⋊(C3⋊(C3⋊D3)) | — | 3 | 1 | no | — |
| 74 | C3×C3⋊(C3⋊(C3⋊D3)) | — | 3 | 1 | no | — |
| 75 | C32×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 76 | C34×D3 | — | 3 | 1 | no | — |
| 77 | C34×D3 | — | 3 | 1 | no | — |
| 78 | C34×D3 | — | 6 | 1 | no | — |
| 79 | C2×C32×H(3,𝔽3) | — | 9 | 1 | no | — |
| 80 | C3⋊#4207 | — | 6 | 1 | no | — |
| 81 | C3⋊#4207 | — | 6 | 2 | no | — |
| 82 | C3⋊(C3⋊AGL(1,ℤ/9)) | — | 6 | 1 | no | — |
| 83 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 3 | 1 | no | — |
| 84 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 3 | 1 | no | — |
| 85 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 3 | 1 | no | — |
| 86 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 3 | 2 | no | — |
| 87 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 3 | 9 | no | — |
| 88 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 3 | 1 | no | — |
| 89 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 3 | 1 | no | — |
| 90 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 6 | 1 | no | — |
| 91 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 6 | 1 | no | — |
| 92 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 6 | 1 | no | — |
| 93 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 9 | 1 | no | — |
| 94 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 18 | 3 | no | — |
| 95 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 18 | 1 | no | — |
| 96 | #4207⋊C3 | — | 18 | 9 | no | — |
| 97 | #92392 | — | 2 | 3 | no | — |
| 98 | #92392 | C3⋊D3 | 1 | 3 | yes | complemented |
| 99 | #92391 | — | 9 | 3 | no | — |
| 100 | #92391 | — | 9 | 3 | no | — |
| 101 | #92391 | — | 18 | 3 | no | — |
| 102 | #92391 | — | 18 | 3 | no | — |
| 103 | C3×C3⋊AGL(1,ℤ/9) | — | 18 | 2 | no | — |
| 104 | C3×C3⋊AGL(1,ℤ/9) | — | 18 | 1 | no | — |
| 105 | C32×#272 | — | 2 | 1 | no | — |
| 106 | C32×#272 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 107 | C32×#272 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 108 | C3×C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 109 | C3×C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 110 | C3×C3⋊((C3⋊D3)⋊C3) | — | 9 | 2 | no | — |
| 111 | C3×C3⋊((C3⋊D3)⋊C3) | — | 9 | 9 | no | — |
| 112 | C3×C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 113 | C3×C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 114 | C3×C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 115 | C3×C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 116 | C3×D3×H(3,𝔽3) | — | 3 | 1 | no | — |
| 117 | C3×D3×H(3,𝔽3) | — | 3 | 2 | no | — |
| 118 | C3×D3×H(3,𝔽3) | — | 3 | 9 | no | — |
| 119 | C3×D3×H(3,𝔽3) | — | 6 | 2 | no | — |
| 120 | C3×D3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 121 | C3×D3×H(3,𝔽3) | — | 6 | 9 | no | — |
| 122 | C3×D3×H(3,𝔽3) | — | 9 | 1 | no | — |
| 123 | C3⋊#4183 | — | 3 | 1 | no | — |
| 124 | C3⋊#4183 | — | 3 | 2 | no | — |
| 125 | C3⋊#4183 | — | 3 | 9 | no | — |
| 126 | C3⋊#4183 | — | 6 | 2 | no | — |
| 127 | C3⋊#4183 | — | 6 | 9 | no | — |
| 128 | C3⋊#4183 | — | 6 | 1 | no | — |
| 129 | #4183⋊C3 | — | 9 | 6 | no | — |
| 130 | #4183⋊C3 | — | 18 | 6 | no | — |
| 131 | #4183⋊C3 | — | 18 | 18 | no | — |
| 132 | C3⋊#4175 | — | 3 | 1 | no | — |
| 133 | C3⋊#4175 | — | 3 | 2 | no | — |
| 134 | C3⋊#4175 | — | 3 | 9 | no | — |
| 135 | C3⋊#4175 | — | 6 | 2 | no | — |
| 136 | C3⋊#4175 | — | 6 | 9 | no | — |
| 137 | C3⋊#4175 | — | 6 | 1 | no | — |
| 138 | C3×#4183 | — | 9 | 3 | no | — |
| 139 | C3×#4183 | — | 18 | 9 | no | — |
| 140 | C3×#4183 | — | 18 | 3 | no | — |
| 141 | #4175⋊C3 | — | 9 | 6 | no | — |
| 142 | #92281 | — | 2 | 9 | no | — |
| 143 | #92281 | — | 2 | 18 | no | — |
| 144 | #92281 | — | 2 | 6 | no | — |
| 145 | #92281 | C3⋊D3 | 1 | 6 | yes | complemented |
| 146 | C3×#4175 | — | 9 | 3 | no | — |
| 147 | C3×#4174 | — | 2 | 1 | no | — |
| 148 | C3×#4174 | — | 2 | 2 | no | — |
| 149 | C3×#4174 | — | 2 | 3 | no | — |
| 150 | C3×#4174 | — | 2 | 9 | no | — |
| 151 | C3×#4174 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 152 | C3×#4174 | C3×D3 | 1 | 2 | yes | complemented |
| 153 | C3×#4174 | C3×D3 | 1 | 9 | yes | complemented |
| 154 | C3×#4174 | C3⋊D3 | 1 | 3 | yes | complemented |
| 155 | C2×C3⋊(C3⋊(C3⋊D3)) | — | 9 | 1 | no | — |
| 156 | C2×C3×C3⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 157 | D3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 158 | D3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 159 | D3×C3⋊(C3⋊D3) | — | 9 | 9 | no | — |
| 160 | D3×C3⋊(C3⋊D3) | — | 9 | 2 | no | — |
| 161 | D3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 162 | D3×C3⋊(C3⋊D3) | — | 27 | 9 | no | — |
| 163 | C3×D3×C3⋊D3 | — | 27 | 3 | no | — |
| 164 | C3×D3×C3⋊D3 | — | 27 | 1 | no | — |
| 165 | C3×D3×C3⋊D3 | — | 27 | 1 | no | — |
| 166 | C3×D3×C3⋊D3 | — | 27 | 9 | no | — |
| 167 | C2×C3⋊((C3⋊D3)⋊C3) | — | 27 | 1 | no | — |
| 168 | C2×C3⋊((C3⋊D3)⋊C3) | — | 27 | 9 | no | — |
| 169 | C2×C3⋊((C3⋊D3)⋊C3) | — | 27 | 2 | no | — |
| 170 | #66432 | — | 9 | 1 | no | — |
| 171 | #66432 | — | 9 | 3 | no | — |
| 172 | C3×((C3⋊D3)⋊C3)⋊C2 | — | 27 | 1 | no | — |
| 173 | D3×(C3⋊D3)⋊C3 | — | 27 | 6 | no | — |
| 174 | D3×(C3⋊D3)⋊C3 | — | 27 | 3 | no | — |
| 175 | D3×(C3⋊D3)⋊C3 | — | 27 | 3 | no | — |
| 176 | #4174⋊C2 | — | 9 | 3 | no | — |
| 177 | #4174⋊C2 | — | 9 | 6 | no | — |
| 178 | C35 | — | 2 | 1 | no | — |
| 179 | C35 | D32 | 1 | 1 | yes | characteristic, complemented |
| 180 | C35 | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 181 | 3−1+4 | — | 2 | 9 | no | — |
| 182 | 3−1+4 | — | 4 | 9 | no | — |
| 183 | 3−1+4 | — | 12 | 3 | no | — |
| 184 | 3−1+4 | — | 12 | 6 | no | — |
| 185 | H(5,𝔽3) | — | 2 | 3 | no | — |
| 186 | H(5,𝔽3) | — | 2 | 3 | no | — |
| 187 | H(5,𝔽3) | — | 4 | 3 | no | — |
| 188 | H(5,𝔽3) | — | 6 | 3 | no | — |
| 189 | H(5,𝔽3) | — | 12 | 3 | no | — |
| 190 | H(5,𝔽3) | C2×C3⋊D3 | 1 | 3 | yes | complemented |
| 191 | C3×#737 | — | 6 | 2 | no | — |
| 192 | C3×#737 | — | 6 | 1 | no | — |
| 193 | C3×#737 | — | 12 | 1 | no | — |
| 194 | C3×#737 | — | 12 | 2 | no | — |
| 195 | C32×3−1+2 | — | 2 | 1 | no | — |
| 196 | C32×3−1+2 | — | 2 | 2 | no | — |
| 197 | C32×3−1+2 | — | 2 | 1 | no | — |
| 198 | C32×3−1+2 | — | 4 | 1 | no | — |
| 199 | C32×3−1+2 | — | 4 | 2 | no | — |
| 200 | C32×3−1+2 | — | 4 | 1 | no | — |
| 201 | C32×H(3,𝔽3) | — | 2 | 2 | no | — |
| 202 | C32×H(3,𝔽3) | — | 2 | 1 | no | — |
| 203 | C32×H(3,𝔽3) | — | 2 | 9 | no | — |
| 204 | C32×H(3,𝔽3) | — | 2 | 1 | no | — |
| 205 | C32×H(3,𝔽3) | — | 2 | 1 | no | — |
| 206 | C32×H(3,𝔽3) | — | 2 | 1 | no | — |
| 207 | C32×H(3,𝔽3) | — | 3 | 1 | no | — |
| 208 | C32×H(3,𝔽3) | — | 3 | 1 | no | — |
| 209 | C32×H(3,𝔽3) | — | 4 | 1 | no | — |
| 210 | C32×H(3,𝔽3) | — | 6 | 3 | no | — |
| 211 | C32×H(3,𝔽3) | — | 6 | 1 | no | — |
| 212 | C32×H(3,𝔽3) | — | 6 | 1 | no | — |
| 213 | C32×H(3,𝔽3) | — | 6 | 1 | no | — |
| 214 | C32×H(3,𝔽3) | — | 6 | 1 | no | — |
| 215 | C32×H(3,𝔽3) | — | 12 | 3 | no | — |
| 216 | C32×H(3,𝔽3) | — | 12 | 1 | no | — |
| 217 | C32×H(3,𝔽3) | — | 12 | 1 | no | — |
| 218 | C32×H(3,𝔽3) | D32 | 1 | 1 | yes | characteristic |
| 219 | C32×H(3,𝔽3) | D32 | 1 | 9 | yes | complemented |
| 220 | C32×H(3,𝔽3) | D32 | 1 | 2 | yes | complemented |
| 221 | C32×H(3,𝔽3) | C2×C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 222 | C32×H(3,𝔽3) | C2×C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 223 | #6909 | — | 2 | 9 | no | — |
| 224 | #6909 | — | 2 | 18 | no | — |
| 225 | #6909 | — | 2 | 6 | no | — |
| 226 | #6909 | — | 2 | 18 | no | — |
| 227 | #6909 | — | 2 | 6 | no | — |
| 228 | #6909 | — | 4 | 18 | no | — |
| 229 | #6909 | — | 4 | 6 | no | — |
| 230 | #6909 | — | 4 | 18 | no | — |
| 231 | #6909 | — | 4 | 18 | no | — |
| 232 | #6909 | — | 4 | 36 | no | — |
| 233 | #6909 | — | 4 | 9 | no | — |
| 234 | #6909 | — | 4 | 9 | no | — |
| 235 | #6909 | — | 4 | 18 | no | — |
| 236 | #6909 | C2×C3⋊D3 | 1 | 6 | yes | complemented |
| 237 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 238 | C3×AΣL(1,𝔽27) | — | 2 | 2 | no | — |
| 239 | C3×AΣL(1,𝔽27) | — | 2 | 9 | no | — |
| 240 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 241 | C3×AΣL(1,𝔽27) | — | 2 | 2 | no | — |
| 242 | C3×AΣL(1,𝔽27) | — | 2 | 9 | no | — |
| 243 | C3×AΣL(1,𝔽27) | — | 2 | 2 | no | — |
| 244 | C3×AΣL(1,𝔽27) | — | 2 | 1 | no | — |
| 245 | C3×AΣL(1,𝔽27) | — | 2 | 9 | no | — |
| 246 | C3×AΣL(1,𝔽27) | — | 2 | 3 | no | — |
| 247 | C3×AΣL(1,𝔽27) | — | 2 | 9 | no | — |
| 248 | C3×AΣL(1,𝔽27) | — | 2 | 3 | no | — |
| 249 | C3×AΣL(1,𝔽27) | — | 4 | 9 | no | — |
| 250 | C3×AΣL(1,𝔽27) | — | 4 | 3 | no | — |
| 251 | C3×AΣL(1,𝔽27) | — | 4 | 9 | no | — |
| 252 | C3×AΣL(1,𝔽27) | — | 4 | 9 | no | — |
| 253 | C3×AΣL(1,𝔽27) | — | 4 | 18 | no | — |
| 254 | C3×AΣL(1,𝔽27) | — | 4 | 2 | no | — |
| 255 | C3×AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 256 | C3×AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 257 | C3×AΣL(1,𝔽27) | — | 4 | 2 | no | — |
| 258 | C3×AΣL(1,𝔽27) | — | 4 | 2 | no | — |
| 259 | C3×AΣL(1,𝔽27) | — | 4 | 2 | no | — |
| 260 | C3×AΣL(1,𝔽27) | — | 4 | 2 | no | — |
| 261 | C3×AΣL(1,𝔽27) | — | 4 | 1 | no | — |
| 262 | C3×AΣL(1,𝔽27) | — | 4 | 2 | no | — |
| 263 | C3×AΣL(1,𝔽27) | — | 4 | 9 | no | — |
| 264 | C3×AΣL(1,𝔽27) | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 265 | C3×AΣL(1,𝔽27) | C2×C3×D3 | 1 | 9 | yes | complemented |
| 266 | C3×AΣL(1,𝔽27) | C2×C3×D3 | 1 | 2 | yes | complemented |
| 267 | C3×AΣL(1,𝔽27) | C2×C3⋊D3 | 1 | 3 | yes | complemented |
| 268 | C2×C34 | — | 9 | 1 | no | — |
| 269 | C2×C34 | — | 9 | 1 | no | — |
| 270 | C2×C34 | — | 18 | 1 | no | — |
| 271 | C3⋊(C3⋊(C3⋊D3)) | — | 3 | 1 | no | — |
| 272 | C3⋊(C3⋊(C3⋊D3)) | — | 3 | 1 | no | — |
| 273 | C3⋊(C3⋊(C3⋊D3)) | — | 3 | 1 | no | — |
| 274 | C3⋊(C3⋊(C3⋊D3)) | — | 3 | 1 | no | — |
| 275 | C3⋊(C3⋊(C3⋊D3)) | — | 3 | 2 | no | — |
| 276 | C3⋊(C3⋊(C3⋊D3)) | — | 3 | 9 | no | — |
| 277 | C3⋊(C3⋊(C3⋊D3)) | — | 9 | 1 | no | — |
| 278 | C3⋊(C3⋊(C3⋊D3)) | — | 18 | 1 | no | — |
| 279 | C3⋊(C3⋊(C3⋊D3)) | — | 18 | 3 | no | — |
| 280 | C3⋊(C3⋊(C3⋊D3)) | — | 27 | 9 | no | — |
| 281 | C3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 282 | C3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 283 | C3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 284 | C3×C3⋊(C3⋊D3) | — | 9 | 2 | no | — |
| 285 | C3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 286 | C3×C3⋊(C3⋊D3) | — | 9 | 9 | no | — |
| 287 | C3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 288 | C3×C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 289 | C3×C3⋊(C3⋊D3) | — | 9 | 3 | no | — |
| 290 | C3×C3⋊(C3⋊D3) | — | 18 | 1 | no | — |
| 291 | C3×C3⋊(C3⋊D3) | — | 18 | 1 | no | — |
| 292 | C3×C3⋊(C3⋊D3) | — | 18 | 1 | no | — |
| 293 | C3×C3⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 294 | C3×C3⋊(C3⋊D3) | — | 27 | 9 | no | — |
| 295 | C3×C3⋊(C3⋊D3) | — | 27 | 9 | no | — |
| 296 | C3×C3⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 297 | C32×C3⋊D3 | — | 27 | 1 | no | — |
| 298 | C32×C3⋊D3 | — | 27 | 9 | no | — |
| 299 | C32×C3⋊D3 | — | 27 | 1 | no | — |
| 300 | C32×C3⋊D3 | — | 27 | 3 | no | — |
| 301 | C33×D3 | — | 3 | 1 | no | — |
| 302 | C33×D3 | — | 3 | 2 | no | — |
| 303 | C33×D3 | — | 3 | 1 | no | — |
| 304 | C33×D3 | — | 3 | 9 | no | — |
| 305 | C33×D3 | — | 3 | 1 | no | — |
| 306 | C33×D3 | — | 3 | 3 | no | — |
| 307 | C33×D3 | — | 6 | 9 | no | — |
| 308 | C33×D3 | — | 6 | 2 | no | — |
| 309 | C33×D3 | — | 6 | 3 | no | — |
| 310 | C33×D3 | — | 6 | 1 | no | — |
| 311 | C33×D3 | — | 6 | 1 | no | — |
| 312 | C33×D3 | — | 9 | 9 | no | — |
| 313 | C33×D3 | — | 9 | 9 | no | — |
| 314 | C33×D3 | — | 9 | 1 | no | — |
| 315 | C33×D3 | — | 9 | 1 | no | — |
| 316 | C33×D3 | — | 18 | 9 | no | — |
| 317 | C33×D3 | — | 18 | 1 | no | — |
| 318 | C2×C3×H(3,𝔽3) | — | 9 | 2 | no | — |
| 319 | C2×C3×H(3,𝔽3) | — | 9 | 9 | no | — |
| 320 | C2×C3×H(3,𝔽3) | — | 9 | 1 | no | — |
| 321 | C2×C3×H(3,𝔽3) | — | 18 | 9 | no | — |
| 322 | C2×C3×H(3,𝔽3) | — | 18 | 2 | no | — |
| 323 | C2×C3×H(3,𝔽3) | — | 18 | 1 | no | — |
| 324 | C3⋊(C3⋊D9) | — | 6 | 1 | no | — |
| 325 | #4207 | — | 18 | 9 | no | — |
| 326 | #4207 | — | 18 | 18 | no | — |
| 327 | C3⋊AGL(1,ℤ/9) | — | 18 | 1 | no | — |
| 328 | C3⋊AGL(1,ℤ/9) | — | 18 | 2 | no | — |
| 329 | C3⋊AGL(1,ℤ/9) | — | 18 | 9 | no | — |
| 330 | C3⋊AGL(1,ℤ/9) | — | 18 | 2 | no | — |
| 331 | C3⋊AGL(1,ℤ/9) | — | 18 | 2 | no | — |
| 332 | C3⋊AGL(1,ℤ/9) | — | 18 | 2 | no | — |
| 333 | C3×#272 | — | 2 | 3 | no | — |
| 334 | C3×#272 | — | 2 | 1 | no | — |
| 335 | C3×#272 | C3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 336 | C3×#272 | C3×C3⋊D3 | 1 | 3 | yes | complemented |
| 337 | C3×#272 | C3⋊(C3⋊D3) | 1 | 1 | yes | characteristic, complemented |
| 338 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 2 | no | — |
| 339 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 9 | no | — |
| 340 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 341 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 342 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 3 | no | — |
| 343 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 3 | no | — |
| 344 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 345 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 346 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 3 | no | — |
| 347 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 3 | no | — |
| 348 | C3⋊((C3⋊D3)⋊C3) | — | 9 | 6 | no | — |
| 349 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 3 | no | — |
| 350 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 3 | no | — |
| 351 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 352 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 3 | no | — |
| 353 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 354 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 355 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 356 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 3 | no | — |
| 357 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 358 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 3 | no | — |
| 359 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 360 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 9 | no | — |
| 361 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 2 | no | — |
| 362 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 363 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 364 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 3 | no | — |
| 365 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 366 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 1 | no | — |
| 367 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 6 | no | — |
| 368 | C3⋊((C3⋊D3)⋊C3) | — | 18 | 6 | no | — |
| 369 | C3⋊((C3⋊D3)⋊C3) | — | 27 | 9 | no | — |
| 370 | C3⋊((C3⋊D3)⋊C3) | — | 27 | 2 | no | — |
| 371 | C3⋊((C3⋊D3)⋊C3) | — | 54 | 9 | no | — |
| 372 | C3⋊((C3⋊D3)⋊C3) | — | 54 | 2 | no | — |
| 373 | C3×C3⋊D9 | — | 18 | 1 | no | — |
| 374 | C3×C3⋊D9 | — | 18 | 2 | no | — |
| 375 | C3×AGL(1,ℤ/9) | — | 54 | 3 | no | — |
| 376 | C3×AGL(1,ℤ/9) | — | 54 | 6 | no | — |
| 377 | D3×H(3,𝔽3) | — | 3 | 3 | no | — |
| 378 | D3×H(3,𝔽3) | — | 3 | 6 | no | — |
| 379 | D3×H(3,𝔽3) | — | 6 | 6 | no | — |
| 380 | D3×H(3,𝔽3) | — | 6 | 18 | no | — |
| 381 | D3×H(3,𝔽3) | — | 6 | 9 | no | — |
| 382 | D3×H(3,𝔽3) | — | 6 | 3 | no | — |
| 383 | D3×H(3,𝔽3) | — | 9 | 3 | no | — |
| 384 | D3×H(3,𝔽3) | — | 18 | 3 | no | — |
| 385 | C3×(C3⋊D3)⋊C3 | — | 27 | 3 | no | — |
| 386 | C3×(C3⋊D3)⋊C3 | — | 27 | 3 | no | — |
| 387 | C3×(C3⋊D3)⋊C3 | — | 27 | 6 | no | — |
| 388 | C3×(C3⋊D3)⋊C3 | — | 27 | 1 | no | — |
| 389 | C3×(C3⋊D3)⋊C3 | — | 27 | 1 | no | — |
| 390 | C3×(C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 391 | C3×(C3⋊D3)⋊C3 | — | 54 | 3 | no | — |
| 392 | C3×(C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 393 | C3×(C3⋊D3)⋊C3 | — | 54 | 3 | no | — |
| 394 | #4183 | — | 9 | 3 | no | — |
| 395 | #4183 | — | 9 | 6 | no | — |
| 396 | #4183 | — | 18 | 3 | no | — |
| 397 | #4183 | — | 18 | 9 | no | — |
| 398 | #4183 | — | 18 | 6 | no | — |
| 399 | #4183 | — | 18 | 18 | no | — |
| 400 | #4175 | — | 9 | 3 | no | — |
| 401 | #4175 | — | 9 | 6 | no | — |
| 402 | #4175 | — | 18 | 3 | no | — |
| 403 | #4175 | — | 18 | 6 | no | — |
| 404 | #4174 | — | 2 | 6 | no | — |
| 405 | #4174 | — | 2 | 3 | no | — |
| 406 | #4174 | C3×C3⋊D3 | 1 | 3 | yes | complemented |
| 407 | #4174 | C3×C3⋊D3 | 1 | 6 | yes | complemented |
| 408 | C2×C3⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 409 | C2×C3⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 410 | C2×C3⋊(C3⋊D3) | — | 27 | 9 | no | — |
| 411 | C2×C3⋊(C3⋊D3) | — | 27 | 2 | no | — |
| 412 | C2×C3⋊(C3⋊D3) | — | 81 | 9 | no | — |
| 413 | C2×C3×C3⋊D3 | — | 81 | 1 | no | — |
| 414 | C2×C3×C3⋊D3 | — | 81 | 3 | no | — |
| 415 | C2×C3×C3⋊D3 | — | 81 | 9 | no | — |
| 416 | D3×C3⋊D3 | — | 27 | 3 | no | — |
| 417 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 418 | D3×C3⋊D3 | — | 27 | 6 | no | — |
| 419 | D3×C3⋊D3 | — | 27 | 3 | no | — |
| 420 | D3×C3⋊D3 | — | 27 | 9 | no | — |
| 421 | D3×C3⋊D3 | — | 27 | 1 | no | — |
| 422 | D3×C3⋊D3 | — | 27 | 3 | no | — |
| 423 | D3×C3⋊D3 | — | 81 | 3 | no | — |
| 424 | D3×C3⋊D3 | — | 81 | 6 | no | — |
| 425 | D3×C3⋊D3 | — | 81 | 27 | no | — |
| 426 | D3×C3⋊D3 | — | 81 | 3 | no | — |
| 427 | C3×D32 | — | 81 | 1 | no | — |
| 428 | C3×D32 | — | 81 | 1 | no | — |
| 429 | C3×D32 | — | 81 | 3 | no | — |
| 430 | C3×D32 | — | 81 | 9 | no | — |
| 431 | C3×D32 | — | 81 | 3 | no | — |
| 432 | C2×(C3⋊D3)⋊C3 | — | 81 | 3 | no | — |
| 433 | C2×(C3⋊D3)⋊C3 | — | 81 | 6 | no | — |
| 434 | ((C3⋊D3)⋊C3)⋊C2 | — | 27 | 1 | no | — |
| 435 | C34 | — | 2 | 1 | no | — |
| 436 | C34 | — | 2 | 3 | no | — |
| 437 | C34 | — | 2 | 1 | no | — |
| 438 | C34 | — | 2 | 9 | no | — |
| 439 | C34 | — | 2 | 2 | no | — |
| 440 | C34 | — | 3 | 1 | no | — |
| 441 | C34 | — | 3 | 1 | no | — |
| 442 | C34 | — | 3 | 1 | no | — |
| 443 | C34 | — | 3 | 1 | no | — |
| 444 | C34 | — | 6 | 1 | no | — |
| 445 | C34 | — | 6 | 3 | no | — |
| 446 | C34 | — | 6 | 1 | no | — |
| 447 | C34 | — | 6 | 1 | no | — |
| 448 | C34 | — | 6 | 1 | no | — |
| 449 | C34 | — | 6 | 1 | no | — |
| 450 | C34 | — | 6 | 1 | no | — |
| 451 | C34 | — | 6 | 1 | no | — |
| 452 | C34 | — | 9 | 9 | no | — |
| 453 | C34 | — | 9 | 9 | no | — |
| 454 | C34 | — | 12 | 1 | no | — |
| 455 | C34 | — | 12 | 1 | no | — |
| 456 | C34 | — | 12 | 3 | no | — |
| 457 | C34 | — | 12 | 1 | no | — |
| 458 | C34 | — | 18 | 9 | no | — |
| 459 | C34 | C3×D32 | 1 | 1 | yes | characteristic |
| 460 | C34 | C3×D32 | 1 | 1 | yes | characteristic |
| 461 | C34 | C3×D32 | 1 | 2 | yes | — |
| 462 | C34 | C3×D32 | 1 | 9 | yes | complemented |
| 463 | C34 | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 464 | C34 | D3×C3⋊D3 | 1 | 3 | yes | complemented |
| 465 | #737 | — | 6 | 18 | no | — |
| 466 | #737 | — | 6 | 9 | no | — |
| 467 | #737 | — | 12 | 9 | no | — |
| 468 | #737 | — | 12 | 9 | no | — |
| 469 | #737 | — | 12 | 18 | no | — |
| 470 | #737 | — | 12 | 18 | no | — |
| 471 | #737 | — | 12 | 18 | no | — |
| 472 | #737 | — | 12 | 36 | no | — |
| 473 | C3×3−1+2 | — | 2 | 1 | no | — |
| 474 | C3×3−1+2 | — | 2 | 2 | no | — |
| 475 | C3×3−1+2 | — | 2 | 9 | no | — |
| 476 | C3×3−1+2 | — | 2 | 6 | no | — |
| 477 | C3×3−1+2 | — | 2 | 3 | no | — |
| 478 | C3×3−1+2 | — | 4 | 3 | no | — |
| 479 | C3×3−1+2 | — | 4 | 6 | no | — |
| 480 | C3×3−1+2 | — | 4 | 9 | no | — |
| 481 | C3×3−1+2 | — | 4 | 18 | no | — |
| 482 | C3×3−1+2 | — | 4 | 2 | no | — |
| 483 | C3×3−1+2 | — | 4 | 1 | no | — |
| 484 | C3×3−1+2 | — | 4 | 9 | no | — |
| 485 | C3×3−1+2 | — | 6 | 2 | no | — |
| 486 | C3×3−1+2 | — | 6 | 2 | no | — |
| 487 | C3×3−1+2 | — | 6 | 2 | no | — |
| 488 | C3×3−1+2 | — | 12 | 1 | no | — |
| 489 | C3×3−1+2 | — | 12 | 3 | no | — |
| 490 | C3×3−1+2 | — | 12 | 1 | no | — |
| 491 | C3×3−1+2 | — | 12 | 2 | no | — |
| 492 | C3×3−1+2 | — | 12 | 2 | no | — |
| 493 | C3×3−1+2 | — | 12 | 2 | no | — |
| 494 | C3×3−1+2 | — | 12 | 2 | no | — |
| 495 | C3×3−1+2 | — | 12 | 2 | no | — |
| 496 | C3×3−1+2 | — | 12 | 2 | no | — |
| 497 | C3×3−1+2 | — | 12 | 2 | no | — |
| 498 | C3×3−1+2 | — | 12 | 1 | no | — |
| 499 | C3×3−1+2 | — | 12 | 6 | no | — |
| 500 | C3×3−1+2 | — | 12 | 6 | no | — |
| 501 | C3×3−1+2 | — | 12 | 12 | no | — |
| 502 | C3×3−1+2 | — | 12 | 1 | no | — |
| 503 | C3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 504 | C3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 505 | C3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 506 | C3×H(3,𝔽3) | — | 2 | 3 | no | — |
| 507 | C3×H(3,𝔽3) | — | 2 | 3 | no | — |
| 508 | C3×H(3,𝔽3) | — | 2 | 3 | no | — |
| 509 | C3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 510 | C3×H(3,𝔽3) | — | 2 | 3 | no | — |
| 511 | C3×H(3,𝔽3) | — | 2 | 3 | no | — |
| 512 | C3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 513 | C3×H(3,𝔽3) | — | 2 | 3 | no | — |
| 514 | C3×H(3,𝔽3) | — | 2 | 1 | no | — |
| 515 | C3×H(3,𝔽3) | — | 2 | 6 | no | — |
| 516 | C3×H(3,𝔽3) | — | 2 | 18 | no | — |
| 517 | C3×H(3,𝔽3) | — | 2 | 9 | no | — |
| 518 | C3×H(3,𝔽3) | — | 3 | 2 | no | — |
| 519 | C3×H(3,𝔽3) | — | 3 | 9 | no | — |
| 520 | C3×H(3,𝔽3) | — | 3 | 3 | no | — |
| 521 | C3×H(3,𝔽3) | — | 4 | 3 | no | — |
| 522 | C3×H(3,𝔽3) | — | 4 | 3 | no | — |
| 523 | C3×H(3,𝔽3) | — | 4 | 1 | no | — |
| 524 | C3×H(3,𝔽3) | — | 4 | 3 | no | — |
| 525 | C3×H(3,𝔽3) | — | 4 | 3 | no | — |
| 526 | C3×H(3,𝔽3) | — | 4 | 6 | no | — |
| 527 | C3×H(3,𝔽3) | — | 4 | 1 | no | — |
| 528 | C3×H(3,𝔽3) | — | 4 | 1 | no | — |
| 529 | C3×H(3,𝔽3) | — | 4 | 3 | no | — |
| 530 | C3×H(3,𝔽3) | — | 6 | 9 | no | — |
| 531 | C3×H(3,𝔽3) | — | 6 | 9 | no | — |
| 532 | C3×H(3,𝔽3) | — | 6 | 9 | no | — |
| 533 | C3×H(3,𝔽3) | — | 6 | 3 | no | — |
| 534 | C3×H(3,𝔽3) | — | 6 | 3 | no | — |
| 535 | C3×H(3,𝔽3) | — | 6 | 6 | no | — |
| 536 | C3×H(3,𝔽3) | — | 6 | 3 | no | — |
| 537 | C3×H(3,𝔽3) | — | 6 | 2 | no | — |
| 538 | C3×H(3,𝔽3) | — | 6 | 2 | no | — |
| 539 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 540 | C3×H(3,𝔽3) | — | 6 | 2 | no | — |
| 541 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 542 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 543 | C3×H(3,𝔽3) | — | 6 | 3 | no | — |
| 544 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 545 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 546 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 547 | C3×H(3,𝔽3) | — | 6 | 6 | no | — |
| 548 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 549 | C3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 550 | C3×H(3,𝔽3) | — | 6 | 3 | no | — |
| 551 | C3×H(3,𝔽3) | — | 12 | 3 | no | — |
| 552 | C3×H(3,𝔽3) | — | 12 | 3 | no | — |
| 553 | C3×H(3,𝔽3) | — | 12 | 9 | no | — |
| 554 | C3×H(3,𝔽3) | — | 12 | 3 | no | — |
| 555 | C3×H(3,𝔽3) | — | 12 | 9 | no | — |
| 556 | C3×H(3,𝔽3) | — | 12 | 18 | no | — |
| 557 | C3×H(3,𝔽3) | — | 12 | 9 | no | — |
| 558 | C3×H(3,𝔽3) | — | 12 | 6 | no | — |
| 559 | C3×H(3,𝔽3) | — | 12 | 6 | no | — |
| 560 | C3×H(3,𝔽3) | — | 12 | 3 | no | — |
| 561 | C3×H(3,𝔽3) | — | 12 | 6 | no | — |
| 562 | C3×H(3,𝔽3) | — | 12 | 3 | no | — |
| 563 | C3×H(3,𝔽3) | — | 12 | 6 | no | — |
| 564 | C3×H(3,𝔽3) | — | 12 | 3 | no | — |
| 565 | C3×H(3,𝔽3) | — | 12 | 6 | no | — |
| 566 | C3×H(3,𝔽3) | — | 12 | 3 | no | — |
| 567 | C3×H(3,𝔽3) | — | 12 | 2 | no | — |
| 568 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 569 | C3×H(3,𝔽3) | — | 12 | 3 | no | — |
| 570 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 571 | C3×H(3,𝔽3) | — | 12 | 6 | no | — |
| 572 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 573 | C3×H(3,𝔽3) | — | 12 | 3 | no | — |
| 574 | C3×H(3,𝔽3) | — | 12 | 6 | no | — |
| 575 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 576 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 577 | C3×H(3,𝔽3) | — | 12 | 2 | no | — |
| 578 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 579 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 580 | C3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 581 | C3×H(3,𝔽3) | ((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic |
| 582 | C3×H(3,𝔽3) | D3×C3⋊D3 | 1 | 3 | yes | — |
| 583 | C3×H(3,𝔽3) | D3×C3⋊D3 | 1 | 6 | yes | complemented |
| 584 | C3×H(3,𝔽3) | C2×C3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 585 | C3×H(3,𝔽3) | C2×C3×C3⋊D3 | 1 | 3 | yes | complemented |
| 586 | C3×H(3,𝔽3) | C2×C3⋊(C3⋊D3) | 1 | 1 | yes | characteristic, complemented |
| 587 | C32×C9 | — | 6 | 1 | no | — |
| 588 | C32×C9 | — | 6 | 2 | no | — |
| 589 | C32×C9 | — | 6 | 1 | no | — |
| 590 | C32×C9 | — | 12 | 1 | no | — |
| 591 | C32×C9 | — | 12 | 2 | no | — |
| 592 | C32×C9 | — | 12 | 1 | no | — |
| 593 | AΣL(1,𝔽27) | — | 2 | 3 | no | — |
| 594 | AΣL(1,𝔽27) | — | 2 | 9 | no | — |
| 595 | AΣL(1,𝔽27) | — | 2 | 6 | no | — |
| 596 | AΣL(1,𝔽27) | — | 2 | 18 | no | — |
| 597 | AΣL(1,𝔽27) | — | 2 | 3 | no | — |
| 598 | AΣL(1,𝔽27) | — | 2 | 6 | no | — |
| 599 | AΣL(1,𝔽27) | — | 2 | 6 | no | — |
| 600 | AΣL(1,𝔽27) | — | 2 | 3 | no | — |
| 601 | AΣL(1,𝔽27) | — | 4 | 6 | no | — |
| 602 | AΣL(1,𝔽27) | — | 4 | 3 | no | — |
| 603 | AΣL(1,𝔽27) | — | 4 | 3 | no | — |
| 604 | AΣL(1,𝔽27) | — | 4 | 6 | no | — |
| 605 | AΣL(1,𝔽27) | — | 4 | 9 | no | — |
| 606 | AΣL(1,𝔽27) | — | 4 | 18 | no | — |
| 607 | AΣL(1,𝔽27) | — | 4 | 6 | no | — |
| 608 | AΣL(1,𝔽27) | — | 4 | 18 | no | — |
| 609 | AΣL(1,𝔽27) | — | 4 | 18 | no | — |
| 610 | AΣL(1,𝔽27) | — | 4 | 18 | no | — |
| 611 | AΣL(1,𝔽27) | — | 4 | 12 | no | — |
| 612 | AΣL(1,𝔽27) | — | 4 | 3 | no | — |
| 613 | AΣL(1,𝔽27) | — | 4 | 9 | no | — |
| 614 | AΣL(1,𝔽27) | — | 4 | 6 | no | — |
| 615 | AΣL(1,𝔽27) | — | 4 | 18 | no | — |
| 616 | AΣL(1,𝔽27) | C2×C3×C3⋊D3 | 1 | 3 | yes | — |
| 617 | AΣL(1,𝔽27) | C2×C3×C3⋊D3 | 1 | 6 | yes | complemented |
| 618 | C2×C33 | — | 9 | 1 | no | — |
| 619 | C2×C33 | — | 9 | 9 | no | — |
| 620 | C2×C33 | — | 9 | 2 | no | — |
| 621 | C2×C33 | — | 9 | 1 | no | — |
| 622 | C2×C33 | — | 9 | 3 | no | — |
| 623 | C2×C33 | — | 9 | 1 | no | — |
| 624 | C2×C33 | — | 18 | 1 | no | — |
| 625 | C2×C33 | — | 18 | 9 | no | — |
| 626 | C2×C33 | — | 18 | 2 | no | — |
| 627 | C2×C33 | — | 18 | 3 | no | — |
| 628 | C2×C33 | — | 18 | 1 | no | — |
| 629 | C2×C33 | — | 27 | 9 | no | — |
| 630 | C2×C33 | — | 27 | 9 | no | — |
| 631 | C2×C33 | — | 54 | 9 | no | — |
| 632 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 633 | C3⋊(C3⋊D3) | — | 9 | 9 | no | — |
| 634 | C3⋊(C3⋊D3) | — | 9 | 2 | no | — |
| 635 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 636 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 637 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 638 | C3⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 639 | C3⋊(C3⋊D3) | — | 9 | 3 | no | — |
| 640 | C3⋊(C3⋊D3) | — | 9 | 3 | no | — |
| 641 | C3⋊(C3⋊D3) | — | 9 | 3 | no | — |
| 642 | C3⋊(C3⋊D3) | — | 9 | 6 | no | — |
| 643 | C3⋊(C3⋊D3) | — | 18 | 1 | no | — |
| 644 | C3⋊(C3⋊D3) | — | 18 | 1 | no | — |
| 645 | C3⋊(C3⋊D3) | — | 18 | 3 | no | — |
| 646 | C3⋊(C3⋊D3) | — | 18 | 3 | no | — |
| 647 | C3⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 648 | C3⋊(C3⋊D3) | — | 27 | 9 | no | — |
| 649 | C3⋊(C3⋊D3) | — | 27 | 2 | no | — |
| 650 | C3⋊(C3⋊D3) | — | 27 | 9 | no | — |
| 651 | C3⋊(C3⋊D3) | — | 27 | 9 | no | — |
| 652 | C3⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 653 | C3⋊(C3⋊D3) | — | 54 | 2 | no | — |
| 654 | C3⋊(C3⋊D3) | — | 54 | 9 | no | — |
| 655 | C3⋊(C3⋊D3) | — | 81 | 3 | no | — |
| 656 | C3⋊(C3⋊D3) | — | 81 | 3 | no | — |
| 657 | C3⋊(C3⋊D3) | — | 81 | 9 | no | — |
| 658 | C3⋊(C3⋊D3) | — | 81 | 6 | no | — |
| 659 | C3⋊(C3⋊D3) | — | 81 | 27 | no | — |
| 660 | C3⋊(C3⋊D3) | — | 162 | 9 | no | — |
| 661 | C3⋊(C3⋊D3) | — | 162 | 27 | no | — |
| 662 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 663 | C3×C3⋊D3 | — | 27 | 9 | no | — |
| 664 | C3×C3⋊D3 | — | 27 | 3 | no | — |
| 665 | C3×C3⋊D3 | — | 27 | 9 | no | — |
| 666 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 667 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 668 | C3×C3⋊D3 | — | 27 | 3 | no | — |
| 669 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 670 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 671 | C3×C3⋊D3 | — | 27 | 3 | no | — |
| 672 | C3×C3⋊D3 | — | 27 | 6 | no | — |
| 673 | C3×C3⋊D3 | — | 27 | 3 | no | — |
| 674 | C3×C3⋊D3 | — | 27 | 1 | no | — |
| 675 | C3×C3⋊D3 | — | 54 | 1 | no | — |
| 676 | C3×C3⋊D3 | — | 54 | 1 | no | — |
| 677 | C3×C3⋊D3 | — | 54 | 1 | no | — |
| 678 | C3×C3⋊D3 | — | 54 | 3 | no | — |
| 679 | C3×C3⋊D3 | — | 54 | 1 | no | — |
| 680 | C3×C3⋊D3 | — | 54 | 9 | no | — |
| 681 | C3×C3⋊D3 | — | 54 | 3 | no | — |
| 682 | C3×C3⋊D3 | — | 54 | 3 | no | — |
| 683 | C3×C3⋊D3 | — | 81 | 3 | no | — |
| 684 | C3×C3⋊D3 | — | 81 | 3 | no | — |
| 685 | C3×C3⋊D3 | — | 81 | 3 | no | — |
| 686 | C3×C3⋊D3 | — | 81 | 3 | no | — |
| 687 | C3×C3⋊D3 | — | 81 | 27 | no | — |
| 688 | C3×C3⋊D3 | — | 81 | 6 | no | — |
| 689 | C3×C3⋊D3 | — | 81 | 9 | no | — |
| 690 | C3×C3⋊D3 | — | 81 | 3 | no | — |
| 691 | C3×C3⋊D3 | — | 81 | 9 | no | — |
| 692 | C3×C3⋊D3 | — | 162 | 3 | no | — |
| 693 | C3×C3⋊D3 | — | 162 | 3 | no | — |
| 694 | C3×C3⋊D3 | — | 162 | 9 | no | — |
| 695 | C32×D3 | — | 3 | 9 | no | — |
| 696 | C32×D3 | — | 3 | 3 | no | — |
| 697 | C32×D3 | — | 3 | 1 | no | — |
| 698 | C32×D3 | — | 3 | 6 | no | — |
| 699 | C32×D3 | — | 3 | 3 | no | — |
| 700 | C32×D3 | — | 3 | 1 | no | — |
| 701 | C32×D3 | — | 6 | 6 | no | — |
| 702 | C32×D3 | — | 6 | 3 | no | — |
| 703 | C32×D3 | — | 6 | 3 | no | — |
| 704 | C32×D3 | — | 6 | 1 | no | — |
| 705 | C32×D3 | — | 9 | 3 | no | — |
| 706 | C32×D3 | — | 9 | 27 | no | — |
| 707 | C32×D3 | — | 9 | 6 | no | — |
| 708 | C32×D3 | — | 9 | 3 | no | — |
| 709 | C32×D3 | — | 9 | 9 | no | — |
| 710 | C32×D3 | — | 9 | 1 | no | — |
| 711 | C32×D3 | — | 9 | 1 | no | — |
| 712 | C32×D3 | — | 9 | 3 | no | — |
| 713 | C32×D3 | — | 18 | 9 | no | — |
| 714 | C32×D3 | — | 18 | 3 | no | — |
| 715 | C32×D3 | — | 18 | 3 | no | — |
| 716 | C32×D3 | — | 18 | 27 | no | — |
| 717 | C32×D3 | — | 18 | 6 | no | — |
| 718 | C32×D3 | — | 18 | 3 | no | — |
| 719 | C32×D3 | — | 18 | 1 | no | — |
| 720 | C32×D3 | — | 27 | 3 | no | — |
| 721 | C32×D3 | — | 27 | 3 | no | — |
| 722 | C32×D3 | — | 54 | 3 | no | — |
| 723 | C32×D3 | — | 81 | 1 | no | — |
| 724 | C32×D3 | — | 81 | 3 | no | — |
| 725 | C32×D3 | — | 81 | 9 | no | — |
| 726 | C32×D3 | — | 81 | 3 | no | — |
| 727 | C32×D3 | — | 81 | 1 | no | — |
| 728 | C2×H(3,𝔽3) | — | 9 | 6 | no | — |
| 729 | C2×H(3,𝔽3) | — | 9 | 3 | no | — |
| 730 | C2×H(3,𝔽3) | — | 18 | 3 | no | — |
| 731 | C2×H(3,𝔽3) | — | 18 | 18 | no | — |
| 732 | C2×H(3,𝔽3) | — | 18 | 6 | no | — |
| 733 | C2×H(3,𝔽3) | — | 18 | 9 | no | — |
| 734 | #272 | C3×C3⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 735 | C3⋊D9 | — | 18 | 1 | no | — |
| 736 | C3⋊D9 | — | 18 | 2 | no | — |
| 737 | C3⋊D9 | — | 18 | 9 | no | — |
| 738 | AGL(1,ℤ/9) | — | 54 | 3 | no | — |
| 739 | AGL(1,ℤ/9) | — | 54 | 6 | no | — |
| 740 | AGL(1,ℤ/9) | — | 54 | 6 | no | — |
| 741 | AGL(1,ℤ/9) | — | 54 | 6 | no | — |
| 742 | AGL(1,ℤ/9) | — | 54 | 6 | no | — |
| 743 | (C3⋊D3)⋊C3 | — | 27 | 6 | no | — |
| 744 | (C3⋊D3)⋊C3 | — | 27 | 3 | no | — |
| 745 | (C3⋊D3)⋊C3 | — | 27 | 3 | no | — |
| 746 | (C3⋊D3)⋊C3 | — | 27 | 1 | no | — |
| 747 | (C3⋊D3)⋊C3 | — | 27 | 1 | no | — |
| 748 | (C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 749 | (C3⋊D3)⋊C3 | — | 54 | 3 | no | — |
| 750 | (C3⋊D3)⋊C3 | — | 54 | 3 | no | — |
| 751 | (C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 752 | (C3⋊D3)⋊C3 | — | 54 | 3 | no | — |
| 753 | (C3⋊D3)⋊C3 | — | 54 | 3 | no | — |
| 754 | (C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 755 | (C3⋊D3)⋊C3 | — | 54 | 3 | no | — |
| 756 | (C3⋊D3)⋊C3 | — | 54 | 1 | no | — |
| 757 | (C3⋊D3)⋊C3 | — | 54 | 6 | no | — |
| 758 | (C3⋊D3)⋊C3 | — | 54 | 3 | no | — |
| 759 | (C3⋊D3)⋊C3 | — | 54 | 2 | no | — |
| 760 | (C3⋊D3)⋊C3 | — | 54 | 3 | no | — |
| 761 | (C3⋊D3)⋊C3 | — | 54 | 2 | no | — |
| 762 | (C3⋊D3)⋊C3 | — | 54 | 3 | no | — |
| 763 | (C3⋊D3)⋊C3 | — | 81 | 6 | no | — |
| 764 | C3×D9 | — | 54 | 3 | no | — |
| 765 | C3×D9 | — | 54 | 6 | no | — |
| 766 | C2×C3⋊D3 | — | 81 | 3 | no | — |
| 767 | C2×C3⋊D3 | — | 81 | 6 | no | — |
| 768 | C2×C3⋊D3 | — | 81 | 1 | no | — |
| 769 | C2×C3⋊D3 | — | 81 | 3 | no | — |
| 770 | C2×C3⋊D3 | — | 81 | 9 | no | — |
| 771 | C2×C3⋊D3 | — | 243 | 3 | no | — |
| 772 | C2×C3⋊D3 | — | 243 | 6 | no | — |
| 773 | C2×C3⋊D3 | — | 243 | 27 | no | — |
| 774 | C2×C3×D3 | — | 243 | 1 | no | — |
| 775 | C2×C3×D3 | — | 243 | 1 | no | — |
| 776 | C2×C3×D3 | — | 243 | 1 | no | — |
| 777 | C2×C3×D3 | — | 243 | 3 | no | — |
| 778 | C2×C3×D3 | — | 243 | 9 | no | — |
| 779 | D32 | — | 81 | 1 | no | — |
| 780 | D32 | — | 81 | 3 | no | — |
| 781 | D32 | — | 81 | 9 | no | — |
| 782 | D32 | — | 81 | 1 | no | — |
| 783 | D32 | — | 81 | 3 | no | — |
| 784 | D32 | — | 243 | 6 | no | — |
| 785 | D32 | — | 243 | 3 | no | — |
| 786 | D32 | — | 243 | 3 | no | — |
| 787 | C33 | — | 2 | 1 | no | — |
| 788 | C33 | — | 2 | 1 | no | — |
| 789 | C33 | — | 2 | 3 | no | — |
| 790 | C33 | — | 2 | 1 | no | — |
| 791 | C33 | — | 2 | 1 | no | — |
| 792 | C33 | — | 2 | 1 | no | — |
| 793 | C33 | — | 2 | 3 | no | — |
| 794 | C33 | — | 2 | 3 | no | — |
| 795 | C33 | — | 2 | 6 | no | — |
| 796 | C33 | — | 3 | 1 | no | — |
| 797 | C33 | — | 3 | 9 | no | — |
| 798 | C33 | — | 3 | 2 | no | — |
| 799 | C33 | — | 3 | 9 | no | — |
| 800 | C33 | — | 3 | 3 | no | — |
| 801 | C33 | — | 3 | 1 | no | — |
| 802 | C33 | — | 3 | 1 | no | — |
| 803 | C33 | — | 3 | 3 | no | — |
| 804 | C33 | — | 4 | 1 | no | — |
| 805 | C33 | — | 4 | 3 | no | — |
| 806 | C33 | — | 4 | 1 | no | — |
| 807 | C33 | — | 6 | 1 | no | — |
| 808 | C33 | — | 6 | 2 | no | — |
| 809 | C33 | — | 6 | 9 | no | — |
| 810 | C33 | — | 6 | 9 | no | — |
| 811 | C33 | — | 6 | 3 | no | — |
| 812 | C33 | — | 6 | 3 | no | — |
| 813 | C33 | — | 6 | 3 | no | — |
| 814 | C33 | — | 6 | 1 | no | — |
| 815 | C33 | — | 6 | 3 | no | — |
| 816 | C33 | — | 6 | 3 | no | — |
| 817 | C33 | — | 6 | 1 | no | — |
| 818 | C33 | — | 6 | 2 | no | — |
| 819 | C33 | — | 6 | 1 | no | — |
| 820 | C33 | — | 6 | 3 | no | — |
| 821 | C33 | — | 6 | 1 | no | — |
| 822 | C33 | — | 6 | 1 | no | — |
| 823 | C33 | — | 9 | 3 | no | — |
| 824 | C33 | — | 9 | 3 | no | — |
| 825 | C33 | — | 9 | 9 | no | — |
| 826 | C33 | — | 9 | 9 | no | — |
| 827 | C33 | — | 9 | 27 | no | — |
| 828 | C33 | — | 9 | 6 | no | — |
| 829 | C33 | — | 9 | 9 | no | — |
| 830 | C33 | — | 12 | 2 | no | — |
| 831 | C33 | — | 12 | 1 | no | — |
| 832 | C33 | — | 12 | 1 | no | — |
| 833 | C33 | — | 12 | 3 | no | — |
| 834 | C33 | — | 12 | 3 | no | — |
| 835 | C33 | — | 12 | 9 | no | — |
| 836 | C33 | — | 12 | 3 | no | — |
| 837 | C33 | — | 12 | 3 | no | — |
| 838 | C33 | — | 12 | 6 | no | — |
| 839 | C33 | — | 12 | 3 | no | — |
| 840 | C33 | — | 12 | 1 | no | — |
| 841 | C33 | — | 18 | 9 | no | — |
| 842 | C33 | — | 18 | 3 | no | — |
| 843 | C33 | — | 18 | 9 | no | — |
| 844 | C33 | — | 18 | 9 | no | — |
| 845 | C33 | — | 18 | 9 | no | — |
| 846 | C33 | — | 18 | 27 | no | — |
| 847 | C33 | — | 18 | 3 | no | — |
| 848 | C33 | — | 18 | 6 | no | — |
| 849 | C33 | — | 18 | 27 | no | — |
| 850 | C33 | — | 18 | 9 | no | — |
| 851 | C33 | — | 27 | 3 | no | — |
| 852 | C33 | — | 27 | 3 | no | — |
| 853 | C33 | — | 36 | 9 | no | — |
| 854 | C33 | — | 36 | 9 | no | — |
| 855 | C33 | — | 36 | 27 | no | — |
| 856 | C33 | — | 54 | 3 | no | — |
| 857 | C33 | — | 54 | 3 | no | — |
| 858 | C33 | — | 54 | 3 | no | — |
| 859 | C33 | — | 108 | 3 | no | — |
| 860 | C33 | C3×((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic |
| 861 | C33 | ((C3⋊D3)⋊C3)⋊D3 | 1 | 1 | yes | characteristic |
| 862 | C33 | C3×D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 863 | C33 | C3×D3×C3⋊D3 | 1 | 3 | yes | — |
| 864 | C33 | C3×D3×C3⋊D3 | 1 | 3 | yes | — |
| 865 | C33 | C3×D3×C3⋊D3 | 1 | 6 | yes | — |
| 866 | C33 | D3×C3⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 867 | 3−1+2 | — | 2 | 3 | no | — |
| 868 | 3−1+2 | — | 2 | 6 | no | — |
| 869 | 3−1+2 | — | 4 | 3 | no | — |
| 870 | 3−1+2 | — | 4 | 6 | no | — |
| 871 | 3−1+2 | — | 6 | 6 | no | — |
| 872 | 3−1+2 | — | 6 | 6 | no | — |
| 873 | 3−1+2 | — | 6 | 6 | no | — |
| 874 | 3−1+2 | — | 12 | 1 | no | — |
| 875 | 3−1+2 | — | 12 | 2 | no | — |
| 876 | 3−1+2 | — | 12 | 9 | no | — |
| 877 | 3−1+2 | — | 12 | 6 | no | — |
| 878 | 3−1+2 | — | 12 | 18 | no | — |
| 879 | 3−1+2 | — | 12 | 6 | no | — |
| 880 | 3−1+2 | — | 12 | 6 | no | — |
| 881 | 3−1+2 | — | 12 | 18 | no | — |
| 882 | 3−1+2 | — | 12 | 18 | no | — |
| 883 | 3−1+2 | — | 12 | 2 | no | — |
| 884 | 3−1+2 | — | 12 | 4 | no | — |
| 885 | 3−1+2 | — | 12 | 9 | no | — |
| 886 | 3−1+2 | — | 12 | 9 | no | — |
| 887 | H(3,𝔽3) | — | 2 | 3 | no | — |
| 888 | H(3,𝔽3) | — | 2 | 3 | no | — |
| 889 | H(3,𝔽3) | — | 2 | 3 | no | — |
| 890 | H(3,𝔽3) | — | 2 | 1 | no | — |
| 891 | H(3,𝔽3) | — | 2 | 3 | no | — |
| 892 | H(3,𝔽3) | — | 2 | 1 | no | — |
| 893 | H(3,𝔽3) | — | 3 | 6 | no | — |
| 894 | H(3,𝔽3) | — | 4 | 3 | no | — |
| 895 | H(3,𝔽3) | — | 4 | 3 | no | — |
| 896 | H(3,𝔽3) | — | 4 | 6 | no | — |
| 897 | H(3,𝔽3) | — | 4 | 3 | no | — |
| 898 | H(3,𝔽3) | — | 4 | 1 | no | — |
| 899 | H(3,𝔽3) | — | 4 | 3 | no | — |
| 900 | H(3,𝔽3) | — | 6 | 6 | no | — |
| 901 | H(3,𝔽3) | — | 6 | 1 | no | — |
| 902 | H(3,𝔽3) | — | 6 | 3 | no | — |
| 903 | H(3,𝔽3) | — | 6 | 1 | no | — |
| 904 | H(3,𝔽3) | — | 6 | 6 | no | — |
| 905 | H(3,𝔽3) | — | 6 | 18 | no | — |
| 906 | H(3,𝔽3) | — | 6 | 3 | no | — |
| 907 | H(3,𝔽3) | — | 6 | 2 | no | — |
| 908 | H(3,𝔽3) | — | 6 | 3 | no | — |
| 909 | H(3,𝔽3) | — | 6 | 2 | no | — |
| 910 | H(3,𝔽3) | — | 6 | 9 | no | — |
| 911 | H(3,𝔽3) | — | 6 | 3 | no | — |
| 912 | H(3,𝔽3) | — | 6 | 3 | no | — |
| 913 | H(3,𝔽3) | — | 12 | 3 | no | — |
| 914 | H(3,𝔽3) | — | 12 | 1 | no | — |
| 915 | H(3,𝔽3) | — | 12 | 9 | no | — |
| 916 | H(3,𝔽3) | — | 12 | 3 | no | — |
| 917 | H(3,𝔽3) | — | 12 | 3 | no | — |
| 918 | H(3,𝔽3) | — | 12 | 6 | no | — |
| 919 | H(3,𝔽3) | — | 12 | 3 | no | — |
| 920 | H(3,𝔽3) | — | 12 | 2 | no | — |
| 921 | H(3,𝔽3) | — | 12 | 18 | no | — |
| 922 | H(3,𝔽3) | — | 12 | 6 | no | — |
| 923 | H(3,𝔽3) | — | 12 | 3 | no | — |
| 924 | H(3,𝔽3) | — | 12 | 1 | no | — |
| 925 | H(3,𝔽3) | — | 12 | 3 | no | — |
| 926 | H(3,𝔽3) | — | 12 | 2 | no | — |
| 927 | H(3,𝔽3) | — | 12 | 6 | no | — |
| 928 | H(3,𝔽3) | — | 12 | 6 | no | — |
| 929 | H(3,𝔽3) | — | 12 | 3 | no | — |
| 930 | H(3,𝔽3) | — | 12 | 3 | no | — |
| 931 | H(3,𝔽3) | ((C3⋊D3)⋊C3)⋊D3 | 1 | 3 | yes | — |
| 932 | H(3,𝔽3) | C2×C3×C3⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 933 | C3×C9 | — | 6 | 2 | no | — |
| 934 | C3×C9 | — | 6 | 1 | no | — |
| 935 | C3×C9 | — | 6 | 9 | no | — |
| 936 | C3×C9 | — | 6 | 6 | no | — |
| 937 | C3×C9 | — | 6 | 3 | no | — |
| 938 | C3×C9 | — | 12 | 3 | no | — |
| 939 | C3×C9 | — | 12 | 9 | no | — |
| 940 | C3×C9 | — | 12 | 6 | no | — |
| 941 | C3×C9 | — | 12 | 18 | no | — |
| 942 | C3×C9 | — | 12 | 9 | no | — |
| 943 | C3×C9 | — | 12 | 2 | no | — |
| 944 | C3×C9 | — | 12 | 1 | no | — |
| 945 | C2×C32 | — | 9 | 3 | no | — |
| 946 | C2×C32 | — | 9 | 9 | no | — |
| 947 | C2×C32 | — | 9 | 1 | no | — |
| 948 | C2×C32 | — | 9 | 6 | no | — |
| 949 | C2×C32 | — | 9 | 1 | no | — |
| 950 | C2×C32 | — | 9 | 3 | no | — |
| 951 | C2×C32 | — | 18 | 3 | no | — |
| 952 | C2×C32 | — | 18 | 1 | no | — |
| 953 | C2×C32 | — | 18 | 6 | no | — |
| 954 | C2×C32 | — | 18 | 3 | no | — |
| 955 | C2×C32 | — | 27 | 3 | no | — |
| 956 | C2×C32 | — | 27 | 27 | no | — |
| 957 | C2×C32 | — | 27 | 6 | no | — |
| 958 | C2×C32 | — | 27 | 3 | no | — |
| 959 | C2×C32 | — | 27 | 9 | no | — |
| 960 | C2×C32 | — | 54 | 3 | no | — |
| 961 | C2×C32 | — | 54 | 9 | no | — |
| 962 | C2×C32 | — | 54 | 3 | no | — |
| 963 | C2×C32 | — | 54 | 27 | no | — |
| 964 | C2×C32 | — | 54 | 6 | no | — |
| 965 | C2×C32 | — | 243 | 1 | no | — |
| 966 | C2×C32 | — | 243 | 1 | no | — |
| 967 | C3⋊D3 | — | 27 | 3 | no | — |
| 968 | C3⋊D3 | — | 27 | 9 | no | — |
| 969 | C3⋊D3 | — | 27 | 1 | no | — |
| 970 | C3⋊D3 | — | 27 | 1 | no | — |
| 971 | C3⋊D3 | — | 27 | 1 | no | — |
| 972 | C3⋊D3 | — | 27 | 6 | no | — |
| 973 | C3⋊D3 | — | 27 | 1 | no | — |
| 974 | C3⋊D3 | — | 27 | 3 | no | — |
| 975 | C3⋊D3 | — | 27 | 3 | no | — |
| 976 | C3⋊D3 | — | 54 | 1 | no | — |
| 977 | C3⋊D3 | — | 54 | 3 | no | — |
| 978 | C3⋊D3 | — | 54 | 1 | no | — |
| 979 | C3⋊D3 | — | 54 | 3 | no | — |
| 980 | C3⋊D3 | — | 81 | 6 | no | — |
| 981 | C3⋊D3 | — | 81 | 3 | no | — |
| 982 | C3⋊D3 | — | 81 | 3 | no | — |
| 983 | C3⋊D3 | — | 81 | 3 | no | — |
| 984 | C3⋊D3 | — | 81 | 3 | no | — |
| 985 | C3⋊D3 | — | 81 | 3 | no | — |
| 986 | C3⋊D3 | — | 81 | 9 | no | — |
| 987 | C3⋊D3 | — | 81 | 27 | no | — |
| 988 | C3⋊D3 | — | 81 | 6 | no | — |
| 989 | C3⋊D3 | — | 81 | 9 | no | — |
| 990 | C3⋊D3 | — | 162 | 3 | no | — |
| 991 | C3⋊D3 | — | 162 | 3 | no | — |
| 992 | C3⋊D3 | — | 162 | 9 | no | — |
| 993 | C3⋊D3 | — | 486 | 6 | no | — |
| 994 | C3⋊D3 | — | 486 | 27 | no | — |
| 995 | C3⋊D3 | — | 486 | 3 | no | — |
| 996 | C3⋊D3 | — | 486 | 3 | no | — |
| 997 | C3⋊D3 | — | 243 | 6 | no | — |
| 998 | C3⋊D3 | — | 243 | 27 | no | — |
| 999 | C3⋊D3 | — | 243 | 6 | no | — |
| 1000 | C3⋊D3 | — | 243 | 3 | no | — |
| 1001 | C3⋊D3 | — | 243 | 3 | no | — |
| 1002 | C3×D3 | — | 3 | 9 | no | — |
| 1003 | C3×D3 | — | 3 | 3 | no | — |
| 1004 | C3×D3 | — | 3 | 1 | no | — |
| 1005 | C3×D3 | — | 9 | 3 | no | — |
| 1006 | C3×D3 | — | 9 | 6 | no | — |
| 1007 | C3×D3 | — | 9 | 1 | no | — |
| 1008 | C3×D3 | — | 9 | 1 | no | — |
| 1009 | C3×D3 | — | 9 | 3 | no | — |
| 1010 | C3×D3 | — | 18 | 1 | no | — |
| 1011 | C3×D3 | — | 18 | 3 | no | — |
| 1012 | C3×D3 | — | 18 | 3 | no | — |
| 1013 | C3×D3 | — | 18 | 6 | no | — |
| 1014 | C3×D3 | — | 27 | 3 | no | — |
| 1015 | C3×D3 | — | 27 | 1 | no | — |
| 1016 | C3×D3 | — | 54 | 1 | no | — |
| 1017 | C3×D3 | — | 54 | 3 | no | — |
| 1018 | C3×D3 | — | 81 | 1 | no | — |
| 1019 | C3×D3 | — | 81 | 9 | no | — |
| 1020 | C3×D3 | — | 81 | 3 | no | — |
| 1021 | C3×D3 | — | 81 | 3 | no | — |
| 1022 | C3×D3 | — | 81 | 3 | no | — |
| 1023 | C3×D3 | — | 81 | 9 | no | — |
| 1024 | C3×D3 | — | 81 | 3 | no | — |
| 1025 | C3×D3 | — | 81 | 1 | no | — |
| 1026 | C3×D3 | — | 81 | 1 | no | — |
| 1027 | C3×D3 | — | 81 | 1 | no | — |
| 1028 | C3×D3 | — | 162 | 1 | no | — |
| 1029 | C3×D3 | — | 162 | 1 | no | — |
| 1030 | C3×D3 | — | 162 | 3 | no | — |
| 1031 | C3×D3 | — | 162 | 9 | no | — |
| 1032 | C3×D3 | — | 162 | 3 | no | — |
| 1033 | C3×D3 | — | 486 | 3 | no | — |
| 1034 | C3×D3 | — | 486 | 3 | no | — |
| 1035 | C3×D3 | — | 486 | 1 | no | — |
| 1036 | C3×D3 | — | 486 | 1 | no | — |
| 1037 | C3×D3 | — | 243 | 3 | no | — |
| 1038 | C3×D3 | — | 243 | 6 | no | — |
| 1039 | C3×D3 | — | 243 | 1 | no | — |
| 1040 | C3×D3 | — | 243 | 9 | no | — |
| 1041 | C3×D3 | — | 243 | 3 | no | — |
| 1042 | C3×D3 | — | 243 | 1 | no | — |
| 1043 | D9 | — | 54 | 3 | no | — |
| 1044 | D9 | — | 54 | 6 | no | — |
| 1045 | C22×C3 | — | 729 | 1 | no | — |
| 1046 | C2×D3 | — | 729 | 6 | no | — |
| 1047 | C2×D3 | — | 729 | 3 | no | — |
| 1048 | C2×D3 | — | 243 | 1 | no | — |
| 1049 | C2×D3 | — | 243 | 1 | no | — |
| 1050 | C2×D3 | — | 243 | 1 | no | — |
| 1051 | C2×D3 | — | 243 | 3 | no | — |
| 1052 | C2×D3 | — | 243 | 9 | no | — |
| 1053 | C32 | — | 2 | 1 | no | — |
| 1054 | C32 | — | 2 | 3 | no | — |
| 1055 | C32 | — | 2 | 1 | no | — |
| 1056 | C32 | — | 2 | 1 | no | — |
| 1057 | C32 | — | 2 | 3 | no | — |
| 1058 | C32 | — | 3 | 9 | no | — |
| 1059 | C32 | — | 3 | 9 | no | — |
| 1060 | C32 | — | 3 | 3 | no | — |
| 1061 | C32 | — | 3 | 3 | no | — |
| 1062 | C32 | — | 3 | 3 | no | — |
| 1063 | C32 | — | 3 | 3 | no | — |
| 1064 | C32 | — | 3 | 1 | no | — |
| 1065 | C32 | — | 3 | 6 | no | — |
| 1066 | C32 | — | 4 | 3 | no | — |
| 1067 | C32 | — | 4 | 1 | no | — |
| 1068 | C32 | — | 6 | 9 | no | — |
| 1069 | C32 | — | 6 | 3 | no | — |
| 1070 | C32 | — | 6 | 3 | no | — |
| 1071 | C32 | — | 6 | 3 | no | — |
| 1072 | C32 | — | 6 | 1 | no | — |
| 1073 | C32 | — | 6 | 1 | no | — |
| 1074 | C32 | — | 6 | 3 | no | — |
| 1075 | C32 | — | 6 | 6 | no | — |
| 1076 | C32 | — | 6 | 3 | no | — |
| 1077 | C32 | — | 9 | 3 | no | — |
| 1078 | C32 | — | 9 | 1 | no | — |
| 1079 | C32 | — | 9 | 27 | no | — |
| 1080 | C32 | — | 9 | 9 | no | — |
| 1081 | C32 | — | 9 | 6 | no | — |
| 1082 | C32 | — | 9 | 6 | no | — |
| 1083 | C32 | — | 9 | 3 | no | — |
| 1084 | C32 | — | 12 | 3 | no | — |
| 1085 | C32 | — | 12 | 1 | no | — |
| 1086 | C32 | — | 12 | 3 | no | — |
| 1087 | C32 | — | 18 | 3 | no | — |
| 1088 | C32 | — | 18 | 27 | no | — |
| 1089 | C32 | — | 18 | 1 | no | — |
| 1090 | C32 | — | 18 | 3 | no | — |
| 1091 | C32 | — | 18 | 1 | no | — |
| 1092 | C32 | — | 18 | 9 | no | — |
| 1093 | C32 | — | 18 | 9 | no | — |
| 1094 | C32 | — | 18 | 27 | no | — |
| 1095 | C32 | — | 18 | 3 | no | — |
| 1096 | C32 | — | 18 | 6 | no | — |
| 1097 | C32 | — | 18 | 6 | no | — |
| 1098 | C32 | — | 18 | 3 | no | — |
| 1099 | C32 | — | 18 | 3 | no | — |
| 1100 | C32 | — | 18 | 6 | no | — |
| 1101 | C32 | — | 18 | 3 | no | — |
| 1102 | C32 | — | 27 | 3 | no | — |
| 1103 | C32 | — | 27 | 1 | no | — |
| 1104 | C32 | — | 36 | 9 | no | — |
| 1105 | C32 | — | 36 | 27 | no | — |
| 1106 | C32 | — | 36 | 1 | no | — |
| 1107 | C32 | — | 36 | 3 | no | — |
| 1108 | C32 | — | 36 | 3 | no | — |
| 1109 | C32 | — | 36 | 6 | no | — |
| 1110 | C32 | — | 36 | 3 | no | — |
| 1111 | C32 | — | 54 | 3 | no | — |
| 1112 | C32 | — | 54 | 1 | no | — |
| 1113 | C32 | — | 54 | 1 | no | — |
| 1114 | C32 | — | 54 | 3 | no | — |
| 1115 | C32 | — | 54 | 3 | no | — |
| 1116 | C32 | — | 54 | 3 | no | — |
| 1117 | C32 | — | 108 | 1 | no | — |
| 1118 | C32 | — | 108 | 3 | no | — |
| 1119 | C32 | — | 108 | 3 | no | — |
| 1120 | C32 | — | 108 | 3 | no | — |
| 1121 | C32 | — | 108 | 3 | no | — |
| 1122 | C32 | — | 108 | 6 | no | — |
| 1123 | C32 | C3×((C3⋊D3)⋊C3)⋊D3 | 1 | 3 | yes | — |
| 1124 | C32 | C3×((C3⋊D3)⋊C3)⋊D3 | 1 | 1 | yes | characteristic |
| 1125 | C32 | ((C3⋊D3)⋊C3)⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 1126 | C32 | C3×D3×C3⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 1127 | C9 | — | 6 | 6 | no | — |
| 1128 | C9 | — | 6 | 3 | no | — |
| 1129 | C9 | — | 12 | 6 | no | — |
| 1130 | C9 | — | 12 | 3 | no | — |
| 1131 | C2×C3 | — | 9 | 9 | no | — |
| 1132 | C2×C3 | — | 9 | 3 | no | — |
| 1133 | C2×C3 | — | 9 | 1 | no | — |
| 1134 | C2×C3 | — | 27 | 3 | no | — |
| 1135 | C2×C3 | — | 27 | 1 | no | — |
| 1136 | C2×C3 | — | 27 | 6 | no | — |
| 1137 | C2×C3 | — | 54 | 1 | no | — |
| 1138 | C2×C3 | — | 54 | 3 | no | — |
| 1139 | C2×C3 | — | 54 | 3 | no | — |
| 1140 | C2×C3 | — | 54 | 6 | no | — |
| 1141 | C2×C3 | — | 486 | 1 | no | — |
| 1142 | C2×C3 | — | 486 | 1 | no | — |
| 1143 | C2×C3 | — | 243 | 1 | no | — |
| 1144 | C2×C3 | — | 243 | 1 | no | — |
| 1145 | C2×C3 | — | 243 | 1 | no | — |
| 1146 | C2×C3 | — | 243 | 1 | no | — |
| 1147 | D3 | — | 3 | 1 | no | — |
| 1148 | D3 | — | 9 | 1 | no | — |
| 1149 | D3 | — | 81 | 9 | no | — |
| 1150 | D3 | — | 81 | 3 | no | — |
| 1151 | D3 | — | 81 | 3 | no | — |
| 1152 | D3 | — | 81 | 1 | no | — |
| 1153 | D3 | — | 81 | 1 | no | — |
| 1154 | D3 | — | 729 | 6 | no | — |
| 1155 | D3 | — | 486 | 1 | no | — |
| 1156 | D3 | — | 486 | 3 | no | — |
| 1157 | D3 | — | 486 | 1 | no | — |
| 1158 | D3 | — | 486 | 3 | no | — |
| 1159 | D3 | — | 243 | 3 | no | — |
| 1160 | D3 | — | 243 | 3 | no | — |
| 1161 | D3 | — | 243 | 1 | no | — |
| 1162 | D3 | — | 243 | 9 | no | — |
| 1163 | D3 | — | 243 | 6 | no | — |
| 1164 | D3 | — | 243 | 1 | no | — |
| 1165 | C22 | — | 729 | 1 | no | Sylow |
| 1166 | C3 | — | 3 | 1 | no | — |
| 1167 | C3 | — | 3 | 9 | no | — |
| 1168 | C3 | — | 3 | 3 | no | — |
| 1169 | C3 | — | 3 | 1 | no | — |
| 1170 | C3 | — | 6 | 1 | no | — |
| 1171 | C3 | — | 6 | 3 | no | — |
| 1172 | C3 | — | 6 | 1 | no | — |
| 1173 | C3 | — | 6 | 3 | no | — |
| 1174 | C3 | — | 6 | 1 | no | — |
| 1175 | C3 | — | 9 | 1 | no | — |
| 1176 | C3 | — | 9 | 6 | no | — |
| 1177 | C3 | — | 12 | 1 | no | — |
| 1178 | C3 | — | 12 | 3 | no | — |
| 1179 | C3 | — | 18 | 1 | no | — |
| 1180 | C3 | — | 18 | 3 | no | — |
| 1181 | C3 | — | 18 | 3 | no | — |
| 1182 | C3 | — | 18 | 6 | no | — |
| 1183 | C3 | — | 18 | 1 | no | — |
| 1184 | C3 | — | 36 | 1 | no | — |
| 1185 | C3 | — | 36 | 3 | no | — |
| 1186 | C3 | #72221953 | 1 | 3 | yes | complemented |
| 1187 | C3 | C3×((C3⋊D3)⋊C3)⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 1188 | C2 | — | 9 | 1 | no | — |
| 1189 | C2 | — | 243 | 1 | no | — |
| 1190 | C2 | — | 243 | 1 | no | — |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C1 | G |
| commutator, cosocle, hypocenter | C32×AΣL(1,𝔽27) | C22×C3 |
| Frattini | C32 | C3×D3×C3⋊(C3⋊D3) |
| Fitting | C3×#10624930 | C22 |
| socle | C32 | C3×((C3⋊D3)⋊C3)⋊D3 |
| LCS | G ▷ C32×AΣL(1,𝔽27) | |
| UCS | C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72243929 | 3 |
| D3×C3⋊(C3⋊((C3⋊D3)⋊C3)) | 3 |
| #72243895 | 3 |
| C3×#11757735 | 3 |
| #72243671 | 2 |
| C3×#13091645 | 2 |
| #72221974 | 3 |
| #72221953 | 3 |
| #72221887 | 2 |