Finite Group DatabasebetaFinite Group DatabasebetaOrder 15552.
2385 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 2385 conjugacy classes of subgroups — too many to draw. Only its 70 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 | #72260006 | — | 4 | 1 | no | maximal |
| 2 | #72259980 | — | 3 | 1 | no | maximal |
| 3 | #72259963 | — | 3 | 1 | no | maximal |
| 4 | #72259951 | — | 3 | 1 | no | — |
| 5 | #72259930 | — | 3 | 1 | no | — |
| 6 | #72259927 | — | 3 | 1 | no | — |
| 7 | #72259824 | — | 3 | 3 | no | maximal |
| 8 | #72259744 | — | 3 | 1 | no | — |
| 9 | C2×C3×C3⋊AGL(2,𝔽3) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×C3×#89092 | — | 3 | 1 | no | — |
| 11 | C3×Dic3×PSU(3,𝔽2)⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C3×Dic3×PSU(3,𝔽2) | D3 | 1 | 1 | yes | characteristic, complemented |
| 13 | Dic3×PSU(3,𝔽2)⋊C3 | D3 | 1 | 3 | yes | complemented |
| 14 | C2×#72213922 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×#13049799 | — | 3 | 1 | no | — |
| 16 | C2×C32×PSU(3,𝔽2)⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 17 | C3×C4×PSU(3,𝔽2)⋊C3 | — | 3 | 1 | no | — |
| 18 | C2×C3⋊AGL(2,𝔽3) | — | 3 | 1 | no | — |
| 19 | C2×C3⋊AGL(2,𝔽3) | — | 3 | 3 | no | — |
| 20 | C2×C3⋊AGL(2,𝔽3) | — | 6 | 3 | no | — |
| 21 | C2×C3⋊AGL(2,𝔽3) | — | 6 | 1 | no | — |
| 22 | C2×C3⋊AGL(2,𝔽3) | D3 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×C3×AGL(2,𝔽3) | — | 3 | 3 | no | — |
| 24 | C3×C3⋊AGL(2,𝔽3) | — | 2 | 1 | no | — |
| 25 | #72213922 | — | 2 | 1 | no | — |
| 26 | C32×PSU(3,𝔽2)⋊C3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×((C3⋊D3)⋊C3)⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 28 | C2×C3×((C3⋊D3)⋊C3)⋊D3 | — | 4 | 1 | no | — |
| 29 | #14518837 | — | 4 | 1 | no | — |
| 30 | #14518798 | — | 4 | 1 | no | — |
| 31 | #14518785 | — | 4 | 1 | no | — |
| 32 | #14518676 | — | 4 | 1 | no | — |
| 33 | C3×Dic3×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 34 | #13180419 | — | 9 | 1 | no | — |
| 35 | #13180143 | — | 9 | 1 | no | — |
| 36 | C4⋊AGL(2,𝔽3) | — | 9 | 3 | no | — |
| 37 | #13166039 | — | 9 | 1 | no | maximal |
| 38 | C2×C32×PSU(3,𝔽2) | C2×D3 | 1 | 1 | yes | characteristic |
| 39 | C2×#157⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 40 | C2×#10620204 | — | 6 | 1 | no | — |
| 41 | C2×C3×#157⋊D3 | — | 3 | 1 | no | — |
| 42 | C2×C3⋊(C3⋊AGL(1,𝔽9)) | — | 3 | 1 | no | — |
| 43 | C2×C3×C3⋊AGL(1,𝔽9) | — | 3 | 1 | no | — |
| 44 | #13049799 | — | 6 | 1 | no | — |
| 45 | #13049799 | — | 6 | 1 | no | — |
| 46 | C3×#89092 | — | 6 | 1 | no | — |
| 47 | C3×#89092 | — | 6 | 1 | no | — |
| 48 | C2×C3×PSU(3,𝔽2)⋊C3 | — | 2 | 1 | no | — |
| 49 | C2×C3×PSU(3,𝔽2)⋊C3 | — | 2 | 3 | no | — |
| 50 | C2×C3×PSU(3,𝔽2)⋊C3 | C2×D3 | 1 | 3 | yes | — |
| 51 | C2×C3×PSU(3,𝔽2)⋊C3 | C2×D3 | 1 | 1 | yes | characteristic |
| 52 | C3⋊AGL(2,𝔽3) | — | 2 | 1 | no | — |
| 53 | C3⋊AGL(2,𝔽3) | — | 6 | 6 | no | — |
| 54 | C3⋊AGL(2,𝔽3) | — | 6 | 2 | no | — |
| 55 | C3⋊AGL(2,𝔽3) | — | 6 | 3 | no | — |
| 56 | C3⋊AGL(2,𝔽3) | — | 6 | 1 | no | — |
| 57 | C3×AGL(2,𝔽3) | — | 6 | 3 | no | — |
| 58 | #13049533 | — | 6 | 1 | no | — |
| 59 | D3×#6292 | — | 12 | 1 | no | — |
| 60 | C3×#88946 | — | 3 | 1 | no | — |
| 61 | C3×Dic3×#157 | — | 3 | 1 | no | — |
| 62 | #13048679 | — | 12 | 1 | no | — |
| 63 | #13048340 | — | 12 | 3 | no | — |
| 64 | C2×C3⋊(C3⋊#272) | — | 4 | 1 | no | — |
| 65 | C2×C3×C3⋊#272 | — | 4 | 1 | no | — |
| 66 | C2×C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 4 | 1 | no | — |
| 67 | C2×C3×C3⋊((C3⋊D3)⋊C3) | — | 4 | 1 | no | — |
| 68 | C2×C32×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 69 | ((C3⋊D3)⋊C3)⋊(C3⋊D3) | — | 8 | 1 | no | — |
| 70 | ((C3⋊D3)⋊C3)⋊(C3⋊D3) | — | 8 | 1 | no | — |
| 71 | C3×((C3⋊D3)⋊C3)⋊D3 | — | 8 | 1 | no | — |
| 72 | C3×((C3⋊D3)⋊C3)⋊D3 | — | 8 | 1 | no | — |
| 73 | C3×C3⋊((C3⋊Dic3)⋊C3) | — | 4 | 1 | no | — |
| 74 | C3×Dic3×H(3,𝔽3) | — | 4 | 1 | no | — |
| 75 | C2×#89092 | — | 3 | 1 | no | — |
| 76 | C2×#89092 | — | 9 | 1 | no | — |
| 77 | C2×#89092 | — | 9 | 1 | no | — |
| 78 | C2×#89092 | — | 18 | 1 | no | — |
| 79 | C2×C3×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 80 | C2×AGL(2,𝔽3) | — | 3 | 3 | no | — |
| 81 | C2×AGL(2,𝔽3) | — | 9 | 3 | no | — |
| 82 | C2×AGL(2,𝔽3) | — | 18 | 3 | no | — |
| 83 | C2×C3⋊(C3⋊GL(2,𝔽3)) | — | 9 | 1 | no | — |
| 84 | C2×C3×C3⋊GL(2,𝔽3) | — | 9 | 1 | no | — |
| 85 | C3×C4×PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 86 | #11724344 | — | 9 | 1 | no | — |
| 87 | C4⋊(C3⋊AGL(1,𝔽9)) | — | 9 | 1 | no | — |
| 88 | Dic3×PSU(3,𝔽2) | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 89 | #11724124 | — | 9 | 1 | no | — |
| 90 | #11724104 | — | 9 | 1 | no | — |
| 91 | #11724101 | — | 9 | 1 | no | — |
| 92 | #11724101 | — | 9 | 1 | no | — |
| 93 | GO+(4,𝔽2)⋊Dic3 | — | 9 | 1 | no | — |
| 94 | Dic3⋊AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 95 | C4×PSU(3,𝔽2)⋊C3 | — | 3 | 3 | no | — |
| 96 | C3×Dic3×SL(2,𝔽3) | — | 9 | 1 | no | — |
| 97 | C2×C3⋊#1113 | — | 6 | 1 | no | — |
| 98 | C2×D3×C3⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 99 | C2×C3×#1113 | — | 6 | 1 | no | — |
| 100 | C2×C3×D3×C3⋊D3 | — | 12 | 1 | no | — |
| 101 | C2×C3×C3⋊#157 | — | 3 | 1 | no | — |
| 102 | C2×C32×#157 | — | 3 | 1 | no | — |
| 103 | C32×PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 104 | C32×PSU(3,𝔽2) | D12 | 1 | 1 | yes | characteristic, complemented |
| 105 | #157⋊(C3⋊D3) | — | 6 | 1 | no | — |
| 106 | #157⋊(C3⋊D3) | — | 6 | 1 | no | — |
| 107 | #10620204 | — | 12 | 2 | no | — |
| 108 | C3×#157⋊D3 | — | 6 | 1 | no | — |
| 109 | C3×#157⋊D3 | — | 6 | 1 | no | — |
| 110 | C3⋊(C3⋊AGL(1,𝔽9)) | — | 6 | 1 | no | — |
| 111 | C3×C3⋊AGL(1,𝔽9) | — | 6 | 1 | no | — |
| 112 | C3×PSU(3,𝔽2)⋊C3 | — | 2 | 1 | no | — |
| 113 | C3×PSU(3,𝔽2)⋊C3 | — | 2 | 3 | no | — |
| 114 | C3×PSU(3,𝔽2)⋊C3 | D12 | 1 | 3 | yes | complemented |
| 115 | C3×PSU(3,𝔽2)⋊C3 | #67 | 1 | 1 | yes | characteristic, complemented |
| 116 | #10620157 | — | 12 | 1 | no | — |
| 117 | #10620156 | — | 12 | 1 | no | — |
| 118 | #10620152 | — | 12 | 1 | no | — |
| 119 | #10620147 | — | 4 | 1 | no | — |
| 120 | C3×#6292 | — | 12 | 1 | no | — |
| 121 | C3×#6292 | — | 12 | 1 | no | — |
| 122 | C3×#6292 | — | 24 | 1 | no | — |
| 123 | C3×Dic3×C3⋊D3 | S4 | 1 | 1 | yes | characteristic |
| 124 | C32×D3×Dic3 | — | 12 | 1 | no | — |
| 125 | C2×((C3⋊D3)⋊C3)⋊D3 | — | 4 | 1 | no | — |
| 126 | C2×((C3⋊D3)⋊C3)⋊D3 | — | 12 | 1 | no | — |
| 127 | C2×((C3⋊D3)⋊C3)⋊D3 | — | 12 | 3 | no | — |
| 128 | C2×((C3⋊D3)⋊C3)⋊D3 | — | 24 | 3 | no | — |
| 129 | C2×((C3⋊D3)⋊C3)⋊D3 | — | 24 | 1 | no | — |
| 130 | C2×C3×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 3 | no | — |
| 131 | C4⋊(C3⋊#272) | — | 12 | 1 | no | — |
| 132 | C4⋊(C3⋊((C3⋊D3)⋊C3)) | — | 12 | 1 | no | — |
| 133 | C3×C4×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 134 | #10619904 | — | 12 | 3 | no | — |
| 135 | #10619893 | — | 12 | 3 | no | — |
| 136 | #10619893 | — | 24 | 3 | no | — |
| 137 | #10619887 | — | 12 | 1 | no | — |
| 138 | #10619887 | — | 12 | 1 | no | — |
| 139 | #10619887 | — | 24 | 1 | no | — |
| 140 | #10619886 | — | 12 | 3 | no | — |
| 141 | #6292⋊C3 | — | 12 | 3 | no | — |
| 142 | Dic3×(C3⋊D3)⋊C3 | — | 4 | 3 | no | — |
| 143 | #10596410 | — | 27 | 1 | no | — |
| 144 | C4⋊(C3⋊GL(2,𝔽3)) | — | 27 | 1 | no | — |
| 145 | #10593215 | — | 27 | 3 | no | — |
| 146 | #10591617 | — | 27 | 1 | no | — |
| 147 | C2×C32×H(3,𝔽3) | — | 4 | 1 | no | — |
| 148 | C3⋊(C3⋊#272) | — | 8 | 1 | no | — |
| 149 | C3×C3⋊#272 | — | 8 | 1 | no | — |
| 150 | C3⋊(C3⋊((C3⋊D3)⋊C3)) | — | 8 | 1 | no | — |
| 151 | C3×C3⋊((C3⋊D3)⋊C3) | — | 8 | 1 | no | — |
| 152 | C32×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 153 | C32×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 154 | C2×C3×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 155 | C2×C3×PSU(3,𝔽2) | D32 | 1 | 1 | yes | characteristic |
| 156 | C2×C3×PSU(3,𝔽2) | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 157 | C2×#157⋊D3 | — | 3 | 1 | no | — |
| 158 | C2×#157⋊D3 | — | 9 | 1 | no | — |
| 159 | C2×#157⋊D3 | — | 9 | 1 | no | — |
| 160 | C2×#157⋊D3 | — | 18 | 1 | no | — |
| 161 | C2×#157⋊D3 | — | 18 | 1 | no | — |
| 162 | C2×D32⋊D3 | — | 18 | 1 | no | — |
| 163 | C2×C3×GO+(4,𝔽2) | — | 9 | 1 | no | — |
| 164 | C2×C3⋊AGL(1,𝔽9) | — | 3 | 1 | no | — |
| 165 | C2×C3⋊AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 166 | C2×C3⋊AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 167 | C2×C3⋊AGL(1,𝔽9) | — | 18 | 1 | no | — |
| 168 | C2×C3×AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 169 | #89092 | — | 6 | 1 | no | — |
| 170 | #89092 | — | 6 | 1 | no | — |
| 171 | #89092 | — | 18 | 2 | no | — |
| 172 | #89092 | — | 18 | 1 | no | — |
| 173 | #89092 | — | 18 | 1 | no | — |
| 174 | #89092 | — | 18 | 2 | no | — |
| 175 | #89092 | — | 18 | 1 | no | — |
| 176 | #89092 | — | 18 | 1 | no | — |
| 177 | C3×AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 178 | C3×AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 179 | C2×PSU(3,𝔽2)⋊C3 | — | 2 | 3 | no | — |
| 180 | C2×PSU(3,𝔽2)⋊C3 | D32 | 1 | 3 | yes | — |
| 181 | AGL(2,𝔽3) | — | 6 | 3 | no | — |
| 182 | AGL(2,𝔽3) | — | 18 | 6 | no | — |
| 183 | AGL(2,𝔽3) | — | 18 | 3 | no | — |
| 184 | C2×C32×SL(2,𝔽3) | — | 9 | 1 | no | — |
| 185 | C4⋊#1113 | — | 18 | 1 | no | — |
| 186 | C2×#6292 | — | 36 | 1 | no | — |
| 187 | D3×C4⋊(C3⋊D3) | — | 36 | 1 | no | — |
| 188 | C3×C4×#157 | — | 9 | 1 | no | — |
| 189 | C3⋊(C3⋊GL(2,𝔽3)) | — | 18 | 1 | no | — |
| 190 | C3×C3⋊GL(2,𝔽3) | — | 18 | 1 | no | — |
| 191 | #88953 | — | 18 | 1 | no | — |
| 192 | D3×#626 | — | 36 | 1 | no | — |
| 193 | D3×#626 | — | 36 | 3 | no | — |
| 194 | #88946 | — | 3 | 1 | no | — |
| 195 | C3×#3777 | — | 9 | 1 | no | — |
| 196 | Dic3×#157 | — | 3 | 1 | no | — |
| 197 | #88654 | — | 36 | 3 | no | — |
| 198 | C2×C3⋊(C3⋊(C3⋊D3)) | — | 4 | 1 | no | — |
| 199 | C2×C3×C3⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 200 | C2×C3×C3⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 201 | C2×C3×C3⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 202 | C2×C3×C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 203 | C2×C32×C3⋊D3 | — | 12 | 1 | no | — |
| 204 | C2×C32×C3⋊D3 | — | 12 | 1 | no | — |
| 205 | C2×C32×C3⋊D3 | — | 24 | 1 | no | — |
| 206 | C2×C32×C3⋊D3 | C2×S4 | 1 | 1 | yes | characteristic |
| 207 | C2×C33×D3 | — | 12 | 1 | no | — |
| 208 | C3⋊#1113 | — | 12 | 1 | no | — |
| 209 | C3⋊#1113 | — | 12 | 1 | no | — |
| 210 | D3×C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 211 | D3×C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 212 | C3×#1113 | — | 12 | 1 | no | — |
| 213 | C3×#1113 | — | 12 | 1 | no | — |
| 214 | C3×D3×C3⋊D3 | — | 24 | 1 | no | — |
| 215 | C3×D3×C3⋊D3 | — | 24 | 1 | no | — |
| 216 | C3×C3⋊#157 | — | 6 | 1 | no | — |
| 217 | C32×#157 | — | 3 | 1 | no | — |
| 218 | C32×#157 | — | 3 | 1 | no | — |
| 219 | C3×C3⋊(C3⋊Dic3) | GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 220 | C32×C3⋊Dic3 | — | 12 | 1 | no | — |
| 221 | C33×Dic3 | — | 4 | 1 | no | — |
| 222 | C33×Dic3 | — | 8 | 1 | no | — |
| 223 | C33×Dic3 | GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 224 | C2×C3⋊#272 | — | 4 | 1 | no | — |
| 225 | C2×C3⋊#272 | — | 12 | 1 | no | — |
| 226 | C2×C3⋊#272 | — | 12 | 3 | no | — |
| 227 | C2×C3⋊#272 | — | 24 | 3 | no | — |
| 228 | C2×C3⋊#272 | — | 24 | 1 | no | — |
| 229 | C2×C3⋊#272 | — | 24 | 1 | no | — |
| 230 | C2×C3⋊#272 | — | 24 | 3 | no | — |
| 231 | C2×C3⋊#272 | — | 48 | 3 | no | — |
| 232 | C2×C3⋊#272 | — | 48 | 1 | no | — |
| 233 | C2×C3×#272 | — | 12 | 3 | no | — |
| 234 | C2×C3×#272 | — | 24 | 3 | no | — |
| 235 | C2×C3⋊((C3⋊D3)⋊C3) | — | 4 | 1 | no | — |
| 236 | C2×C3⋊((C3⋊D3)⋊C3) | — | 8 | 1 | no | — |
| 237 | C2×C3⋊((C3⋊D3)⋊C3) | — | 12 | 1 | no | — |
| 238 | C2×C3⋊((C3⋊D3)⋊C3) | — | 12 | 3 | no | — |
| 239 | C2×C3⋊((C3⋊D3)⋊C3) | — | 24 | 3 | no | — |
| 240 | C2×C3⋊((C3⋊D3)⋊C3) | — | 24 | 1 | no | — |
| 241 | C2×C3×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 242 | C2×C3×(C3⋊D3)⋊C3 | — | 4 | 3 | no | — |
| 243 | C2×C3×(C3⋊D3)⋊C3 | — | 8 | 3 | no | — |
| 244 | C2×C3×(C3⋊D3)⋊C3 | — | 8 | 1 | no | — |
| 245 | C2×C3×(C3⋊D3)⋊C3 | — | 12 | 3 | no | — |
| 246 | ((C3⋊D3)⋊C3)⋊D3 | — | 8 | 1 | no | — |
| 247 | ((C3⋊D3)⋊C3)⋊D3 | — | 8 | 1 | no | — |
| 248 | ((C3⋊D3)⋊C3)⋊D3 | — | 24 | 1 | no | — |
| 249 | ((C3⋊D3)⋊C3)⋊D3 | — | 24 | 3 | no | — |
| 250 | ((C3⋊D3)⋊C3)⋊D3 | — | 24 | 1 | no | — |
| 251 | ((C3⋊D3)⋊C3)⋊D3 | — | 24 | 3 | no | — |
| 252 | ((C3⋊D3)⋊C3)⋊D3 | — | 24 | 6 | no | — |
| 253 | ((C3⋊D3)⋊C3)⋊D3 | — | 24 | 2 | no | — |
| 254 | ((C3⋊D3)⋊C3)⋊D3 | — | 24 | 2 | no | — |
| 255 | ((C3⋊D3)⋊C3)⋊D3 | — | 24 | 6 | no | — |
| 256 | C3×((C3⋊D3)⋊C3)⋊C2 | — | 24 | 3 | no | — |
| 257 | C3×((C3⋊D3)⋊C3)⋊C2 | — | 24 | 3 | no | — |
| 258 | C3×C4×H(3,𝔽3) | — | 12 | 1 | no | — |
| 259 | C3⋊((C3⋊Dic3)⋊C3) | — | 4 | 3 | no | — |
| 260 | Dic3×H(3,𝔽3) | — | 4 | 3 | no | — |
| 261 | Dic3×H(3,𝔽3) | — | 8 | 3 | no | — |
| 262 | C3×(C3⋊Dic3)⋊C3 | — | 12 | 1 | no | — |
| 263 | C3×(C3⋊Dic3)⋊C3 | — | 24 | 1 | no | — |
| 264 | C2×AΓL(1,𝔽9) | — | 9 | 1 | no | — |
| 265 | C2×AΓL(1,𝔽9) | — | 27 | 1 | no | — |
| 266 | C2×C3⋊GL(2,𝔽3) | — | 9 | 1 | no | — |
| 267 | C2×C3⋊GL(2,𝔽3) | — | 27 | 1 | no | — |
| 268 | C2×C3⋊GL(2,𝔽3) | — | 27 | 3 | no | — |
| 269 | C2×C3⋊GL(2,𝔽3) | — | 54 | 1 | no | — |
| 270 | C2×C3⋊GL(2,𝔽3) | — | 54 | 3 | no | — |
| 271 | C2×C3×GL(2,𝔽3) | — | 27 | 3 | no | — |
| 272 | C4×PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 273 | #64231 | — | 27 | 1 | no | — |
| 274 | C4⋊AGL(1,𝔽9) | — | 27 | 1 | no | — |
| 275 | GO+(4,𝔽2)⋊C4 | — | 27 | 1 | no | — |
| 276 | GO+(4,𝔽2)⋊C4 | — | 27 | 1 | no | — |
| 277 | C2×#3755 | — | 27 | 1 | no | — |
| 278 | C3×Q8×Dic3 | — | 9 | 1 | no | — |
| 279 | C2×C3×#215 | — | 27 | 1 | no | — |
| 280 | C3×C4×SL(2,𝔽3) | — | 27 | 1 | no | — |
| 281 | #63911 | — | 27 | 1 | no | — |
| 282 | Dic3×SL(2,𝔽3) | — | 9 | 3 | no | — |
| 283 | Dic3⋊(C3⋊C8) | — | 27 | 1 | no | — |
| 284 | #63564 | — | 27 | 1 | no | — |
| 285 | #63562 | — | 27 | 1 | no | — |
| 286 | C32×H(3,𝔽3) | — | 4 | 1 | no | Sylow |
| 287 | C22×C3⋊(C3⋊D3) | — | 36 | 1 | no | — |
| 288 | C22×C3×C3⋊D3 | — | 36 | 1 | no | — |
| 289 | C2×#1113 | — | 6 | 1 | no | — |
| 290 | C2×#1113 | — | 18 | 1 | no | — |
| 291 | C2×#1113 | — | 18 | 1 | no | — |
| 292 | C2×#1113 | — | 36 | 1 | no | — |
| 293 | C2×D3×C3⋊D3 | — | 12 | 1 | no | — |
| 294 | C2×D3×C3⋊D3 | — | 36 | 1 | no | — |
| 295 | C2×D3×C3⋊D3 | — | 36 | 1 | no | — |
| 296 | C2×D3×C3⋊D3 | — | 36 | 3 | no | — |
| 297 | C2×D3×C3⋊D3 | — | 72 | 3 | no | — |
| 298 | C2×D3×C3⋊D3 | — | 72 | 1 | no | — |
| 299 | C2×C3×D32 | — | 18 | 1 | no | — |
| 300 | C2×C3×D32 | — | 36 | 1 | no | — |
| 301 | C2×C3×D32 | — | 36 | 3 | no | — |
| 302 | C2×C3⋊#157 | — | 3 | 1 | no | — |
| 303 | C2×C3×#157 | — | 3 | 1 | no | — |
| 304 | C2×C3×#157 | — | 3 | 1 | no | — |
| 305 | C2×C3×#157 | — | 6 | 1 | no | — |
| 306 | C2×C3×#157 | — | 9 | 1 | no | — |
| 307 | C3×PSU(3,𝔽2) | — | 2 | 1 | no | — |
| 308 | C3×PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 309 | C3×PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 310 | C3×PSU(3,𝔽2) | — | 6 | 1 | no | — |
| 311 | C3×PSU(3,𝔽2) | #626 | 1 | 1 | yes | characteristic, complemented |
| 312 | C3×PSU(3,𝔽2) | C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic, complemented |
| 313 | #157⋊D3 | — | 6 | 1 | no | — |
| 314 | #157⋊D3 | — | 6 | 1 | no | — |
| 315 | #157⋊D3 | — | 18 | 1 | no | — |
| 316 | #157⋊D3 | — | 18 | 1 | no | — |
| 317 | #157⋊D3 | — | 18 | 1 | no | — |
| 318 | #157⋊D3 | — | 18 | 1 | no | — |
| 319 | #157⋊D3 | — | 18 | 2 | no | — |
| 320 | #157⋊D3 | — | 36 | 1 | no | — |
| 321 | #157⋊D3 | — | 36 | 2 | no | — |
| 322 | D32⋊D3 | — | 36 | 2 | no | — |
| 323 | C3×GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 324 | C3×GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 325 | C3⋊AGL(1,𝔽9) | — | 6 | 1 | no | — |
| 326 | C3⋊AGL(1,𝔽9) | — | 18 | 1 | no | — |
| 327 | C3⋊AGL(1,𝔽9) | — | 18 | 1 | no | — |
| 328 | C3⋊AGL(1,𝔽9) | — | 18 | 2 | no | — |
| 329 | C3×AGL(1,𝔽9) | — | 18 | 1 | no | — |
| 330 | PSU(3,𝔽2)⋊C3 | — | 2 | 3 | no | — |
| 331 | PSU(3,𝔽2)⋊C3 | #626 | 1 | 3 | yes | complemented |
| 332 | C4⋊(C3⋊(C3⋊D3)) | — | 12 | 1 | no | — |
| 333 | C3×C4⋊(C3⋊D3) | — | 36 | 1 | no | — |
| 334 | C3×C4⋊(C3⋊D3) | — | 36 | 1 | no | — |
| 335 | C3×C4⋊(C3⋊D3) | — | 72 | 1 | no | — |
| 336 | C3×C4×C3⋊D3 | — | 3 | 1 | no | — |
| 337 | C2×C32×Dic3 | — | 36 | 1 | no | — |
| 338 | C32×C4×D3 | — | 36 | 1 | no | — |
| 339 | C32×SL(2,𝔽3) | — | 9 | 1 | no | — |
| 340 | #6295 | — | 36 | 1 | no | — |
| 341 | #6295 | — | 36 | 3 | no | — |
| 342 | #6295 | — | 36 | 1 | no | — |
| 343 | #6295 | — | 72 | 1 | no | — |
| 344 | #6292 | — | 12 | 1 | no | — |
| 345 | #6292 | — | 12 | 3 | no | — |
| 346 | #6292 | — | 12 | 1 | no | — |
| 347 | #6292 | — | 24 | 1 | no | — |
| 348 | #6292 | — | 36 | 1 | no | — |
| 349 | #6292 | — | 36 | 1 | no | — |
| 350 | #6292 | — | 36 | 1 | no | — |
| 351 | #6292 | — | 36 | 1 | no | — |
| 352 | #6292 | — | 36 | 1 | no | — |
| 353 | #6292 | — | 72 | 1 | no | — |
| 354 | #6292 | — | 72 | 1 | no | — |
| 355 | #6291 | — | 36 | 3 | no | — |
| 356 | #6291 | — | 36 | 1 | no | — |
| 357 | #6290 | — | 36 | 1 | no | — |
| 358 | Dic3×C3⋊D3 | C3⋊S4 | 1 | 1 | yes | characteristic |
| 359 | C3×#626 | — | 36 | 1 | no | — |
| 360 | C3×#626 | — | 36 | 3 | no | — |
| 361 | C3×#626 | — | 36 | 1 | no | — |
| 362 | C3×#626 | — | 72 | 1 | no | — |
| 363 | C3×#626 | — | 72 | 3 | no | — |
| 364 | C3×D3×Dic3 | — | 12 | 1 | no | — |
| 365 | C3×D3×Dic3 | — | 12 | 3 | no | — |
| 366 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 3 | no | — |
| 367 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 36 | 3 | no | — |
| 368 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 72 | 3 | no | — |
| 369 | C4⋊#272 | — | 36 | 3 | no | — |
| 370 | C4⋊#272 | — | 72 | 3 | no | — |
| 371 | C4⋊((C3⋊D3)⋊C3) | — | 36 | 3 | no | — |
| 372 | C4×(C3⋊D3)⋊C3 | — | 12 | 3 | no | — |
| 373 | #6200 | — | 36 | 3 | no | — |
| 374 | #6200 | — | 36 | 3 | no | — |
| 375 | #6200 | — | 72 | 3 | no | — |
| 376 | C4⋊GL(2,𝔽3) | — | 81 | 3 | no | — |
| 377 | #5163 | — | 81 | 1 | no | — |
| 378 | #5027 | — | 81 | 1 | no | — |
| 379 | C2×C34 | — | 4 | 1 | no | — |
| 380 | C2×C34 | — | 8 | 1 | no | — |
| 381 | C2×C34 | C2×GL(2,𝔽3) | 1 | 1 | yes | characteristic |
| 382 | C3⋊(C3⋊(C3⋊D3)) | — | 8 | 1 | no | — |
| 383 | C3×C3⋊(C3⋊D3) | — | 8 | 1 | no | — |
| 384 | C3×C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 385 | C3×C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 386 | C3×C3⋊(C3⋊D3) | — | 48 | 1 | no | — |
| 387 | C32×C3⋊D3 | — | 24 | 1 | no | — |
| 388 | C32×C3⋊D3 | — | 24 | 1 | no | — |
| 389 | C32×C3⋊D3 | — | 48 | 1 | no | — |
| 390 | C32×C3⋊D3 | C4⋊S4 | 1 | 1 | yes | characteristic |
| 391 | C32×C3⋊D3 | #986 | 1 | 1 | yes | characteristic |
| 392 | C33×D3 | — | 12 | 1 | no | — |
| 393 | C33×D3 | — | 12 | 1 | no | — |
| 394 | C2×C3×H(3,𝔽3) | — | 4 | 1 | no | — |
| 395 | C2×C3×H(3,𝔽3) | — | 4 | 3 | no | — |
| 396 | C2×C3×H(3,𝔽3) | — | 8 | 3 | no | — |
| 397 | C2×C3×H(3,𝔽3) | — | 8 | 1 | no | — |
| 398 | C2×C3×H(3,𝔽3) | — | 8 | 1 | no | — |
| 399 | C2×C3×H(3,𝔽3) | — | 8 | 3 | no | — |
| 400 | C2×C3×H(3,𝔽3) | — | 16 | 3 | no | — |
| 401 | C2×C3×H(3,𝔽3) | — | 16 | 1 | no | — |
| 402 | C3⋊#272 | — | 8 | 1 | no | — |
| 403 | C3⋊#272 | — | 24 | 1 | no | — |
| 404 | C3⋊#272 | — | 24 | 3 | no | — |
| 405 | C3⋊#272 | — | 24 | 6 | no | — |
| 406 | C3⋊#272 | — | 24 | 2 | no | — |
| 407 | C3⋊#272 | — | 48 | 1 | no | — |
| 408 | C3⋊#272 | — | 48 | 3 | no | — |
| 409 | C3⋊#272 | — | 48 | 6 | no | — |
| 410 | C3⋊#272 | — | 48 | 2 | no | — |
| 411 | C3×#272 | — | 24 | 3 | no | — |
| 412 | C3×#272 | — | 48 | 3 | no | — |
| 413 | C3⋊((C3⋊D3)⋊C3) | — | 8 | 1 | no | — |
| 414 | C3⋊((C3⋊D3)⋊C3) | — | 16 | 1 | no | — |
| 415 | C3⋊((C3⋊D3)⋊C3) | — | 24 | 1 | no | — |
| 416 | C3⋊((C3⋊D3)⋊C3) | — | 24 | 3 | no | — |
| 417 | C3⋊((C3⋊D3)⋊C3) | — | 24 | 6 | no | — |
| 418 | C3⋊((C3⋊D3)⋊C3) | — | 24 | 2 | no | — |
| 419 | C3×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 420 | C3×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 421 | C3×(C3⋊D3)⋊C3 | — | 4 | 3 | no | — |
| 422 | C3×(C3⋊D3)⋊C3 | — | 4 | 3 | no | — |
| 423 | C3×(C3⋊D3)⋊C3 | — | 8 | 3 | no | — |
| 424 | C3×(C3⋊D3)⋊C3 | — | 8 | 3 | no | — |
| 425 | C3×(C3⋊D3)⋊C3 | — | 8 | 1 | no | — |
| 426 | C3×(C3⋊D3)⋊C3 | — | 8 | 1 | no | — |
| 427 | C3×(C3⋊D3)⋊C3 | — | 24 | 3 | no | — |
| 428 | C2×PSU(3,𝔽2) | D3×C3⋊D3 | 1 | 1 | yes | characteristic |
| 429 | C2×GO+(4,𝔽2) | — | 9 | 1 | no | — |
| 430 | C2×GO+(4,𝔽2) | — | 27 | 1 | no | — |
| 431 | C2×GO+(4,𝔽2) | — | 54 | 1 | no | — |
| 432 | C2×AGL(1,𝔽9) | — | 9 | 1 | no | — |
| 433 | C2×AGL(1,𝔽9) | — | 27 | 1 | no | — |
| 434 | AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 435 | AΓL(1,𝔽9) | — | 18 | 1 | no | — |
| 436 | AΓL(1,𝔽9) | — | 54 | 1 | no | — |
| 437 | AΓL(1,𝔽9) | — | 54 | 1 | no | — |
| 438 | C2×C32×Q8 | — | 9 | 1 | no | — |
| 439 | C2×C4⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 440 | C2×C4⋊(C3⋊D3) | — | 108 | 1 | no | — |
| 441 | C2×C3×D12 | — | 27 | 1 | no | — |
| 442 | C2×C3×SL(2,𝔽3) | — | 9 | 1 | no | — |
| 443 | C2×C3×SL(2,𝔽3) | — | 9 | 3 | no | — |
| 444 | C2×C3×SL(2,𝔽3) | — | 18 | 3 | no | — |
| 445 | C2×C3×SL(2,𝔽3) | — | 18 | 1 | no | — |
| 446 | D3×#67 | — | 108 | 1 | no | — |
| 447 | C2×#626 | — | 54 | 1 | no | — |
| 448 | C2×#626 | — | 54 | 1 | no | — |
| 449 | C2×#626 | — | 108 | 3 | no | — |
| 450 | #3802 | — | 54 | 1 | no | — |
| 451 | D3×D12 | — | 108 | 3 | no | — |
| 452 | D3×D12 | — | 108 | 1 | no | — |
| 453 | C4×#157 | — | 9 | 1 | no | — |
| 454 | C3⋊GL(2,𝔽3) | — | 18 | 1 | no | — |
| 455 | C3⋊GL(2,𝔽3) | — | 54 | 1 | no | — |
| 456 | C3⋊GL(2,𝔽3) | — | 54 | 3 | no | — |
| 457 | C3⋊GL(2,𝔽3) | — | 54 | 6 | no | — |
| 458 | C3⋊GL(2,𝔽3) | — | 54 | 2 | no | — |
| 459 | C3×GL(2,𝔽3) | — | 54 | 3 | no | — |
| 460 | #3777 | — | 9 | 1 | no | — |
| 461 | #3755 | — | 54 | 1 | no | — |
| 462 | #3755 | — | 54 | 1 | no | — |
| 463 | C2×C3⋊(C3⋊C8) | — | 27 | 1 | no | — |
| 464 | C3×#215 | — | 54 | 1 | no | — |
| 465 | C3×#215 | — | 54 | 1 | no | — |
| 466 | C3×C4⋊Dic3 | — | 27 | 1 | no | — |
| 467 | C3×C4×Dic3 | — | 27 | 1 | no | — |
| 468 | C2×C3×C3⋊C8 | — | 27 | 1 | no | — |
| 469 | C22×C33 | — | 36 | 1 | no | — |
| 470 | C2×C3⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 471 | C2×C3⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 472 | C2×C3⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 473 | C2×C3⋊(C3⋊D3) | — | 12 | 3 | no | — |
| 474 | C2×C3⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 475 | C2×C3⋊(C3⋊D3) | — | 24 | 3 | no | — |
| 476 | C2×C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 477 | C2×C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 478 | C2×C3⋊(C3⋊D3) | — | 36 | 1 | no | — |
| 479 | C2×C3⋊(C3⋊D3) | — | 72 | 1 | no | — |
| 480 | C2×C3⋊(C3⋊D3) | — | 72 | 1 | no | — |
| 481 | C2×C3⋊(C3⋊D3) | — | 72 | 1 | no | — |
| 482 | C2×C3⋊(C3⋊D3) | — | 72 | 1 | no | — |
| 483 | C2×C3⋊(C3⋊D3) | — | 144 | 1 | no | — |
| 484 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 485 | C2×C3×C3⋊D3 | — | 12 | 1 | no | — |
| 486 | C2×C3×C3⋊D3 | — | 12 | 1 | no | — |
| 487 | C2×C3×C3⋊D3 | — | 12 | 3 | no | — |
| 488 | C2×C3×C3⋊D3 | — | 12 | 1 | no | — |
| 489 | C2×C3×C3⋊D3 | — | 12 | 1 | no | — |
| 490 | C2×C3×C3⋊D3 | — | 24 | 1 | no | — |
| 491 | C2×C3×C3⋊D3 | — | 24 | 1 | no | — |
| 492 | C2×C3×C3⋊D3 | — | 24 | 1 | no | — |
| 493 | C2×C3×C3⋊D3 | — | 24 | 1 | no | — |
| 494 | C2×C3×C3⋊D3 | — | 36 | 1 | no | — |
| 495 | C2×C3×C3⋊D3 | — | 36 | 3 | no | — |
| 496 | C2×C3×C3⋊D3 | — | 36 | 1 | no | — |
| 497 | C2×C3×C3⋊D3 | — | 36 | 1 | no | — |
| 498 | C2×C3×C3⋊D3 | — | 36 | 1 | no | — |
| 499 | C2×C3×C3⋊D3 | — | 36 | 1 | no | — |
| 500 | C2×C3×C3⋊D3 | — | 48 | 1 | no | — |
| 501 | C2×C3×C3⋊D3 | — | 72 | 1 | no | — |
| 502 | C2×C3×C3⋊D3 | — | 72 | 1 | no | — |
| 503 | C2×C3×C3⋊D3 | — | 72 | 1 | no | — |
| 504 | C2×C3×C3⋊D3 | — | 72 | 3 | no | — |
| 505 | C2×C3×C3⋊D3 | — | 72 | 1 | no | — |
| 506 | C2×C3×C3⋊D3 | — | 72 | 3 | no | — |
| 507 | C2×C3×C3⋊D3 | — | 72 | 1 | no | — |
| 508 | C2×C3×C3⋊D3 | — | 72 | 1 | no | — |
| 509 | C2×C3×C3⋊D3 | — | 72 | 1 | no | — |
| 510 | C2×C3×C3⋊D3 | — | 72 | 1 | no | — |
| 511 | C2×C3×C3⋊D3 | — | 144 | 1 | no | — |
| 512 | C2×C3×C3⋊D3 | — | 144 | 3 | no | — |
| 513 | C2×C3×C3⋊D3 | — | 144 | 1 | no | — |
| 514 | C2×C3×C3⋊D3 | D3×S4 | 1 | 1 | yes | characteristic |
| 515 | C2×C3×C3⋊D3 | C2×C3⋊S4 | 1 | 1 | yes | characteristic |
| 516 | C2×C32×D3 | — | 12 | 1 | no | — |
| 517 | C2×C32×D3 | — | 12 | 1 | no | — |
| 518 | C2×C32×D3 | — | 12 | 3 | no | — |
| 519 | C2×C32×D3 | — | 24 | 1 | no | — |
| 520 | C2×C32×D3 | — | 24 | 3 | no | — |
| 521 | C2×C32×D3 | — | 36 | 3 | no | — |
| 522 | C2×C32×D3 | — | 36 | 1 | no | — |
| 523 | C2×C32×D3 | — | 36 | 1 | no | — |
| 524 | C2×C32×D3 | — | 72 | 3 | no | — |
| 525 | C2×C32×D3 | — | 72 | 1 | no | — |
| 526 | #1113 | — | 12 | 1 | no | — |
| 527 | #1113 | — | 12 | 1 | no | — |
| 528 | #1113 | — | 36 | 2 | no | — |
| 529 | #1113 | — | 36 | 1 | no | — |
| 530 | #1113 | — | 36 | 1 | no | — |
| 531 | #1113 | — | 36 | 1 | no | — |
| 532 | #1113 | — | 36 | 1 | no | — |
| 533 | #1113 | — | 72 | 1 | no | — |
| 534 | D3×C3⋊D3 | — | 24 | 1 | no | — |
| 535 | D3×C3⋊D3 | — | 24 | 1 | no | — |
| 536 | D3×C3⋊D3 | — | 72 | 1 | no | — |
| 537 | D3×C3⋊D3 | — | 72 | 1 | no | — |
| 538 | D3×C3⋊D3 | — | 72 | 1 | no | — |
| 539 | D3×C3⋊D3 | — | 72 | 1 | no | — |
| 540 | D3×C3⋊D3 | — | 72 | 3 | no | — |
| 541 | D3×C3⋊D3 | — | 72 | 3 | no | — |
| 542 | D3×C3⋊D3 | — | 72 | 2 | no | — |
| 543 | D3×C3⋊D3 | — | 72 | 2 | no | — |
| 544 | D3×C3⋊D3 | — | 72 | 6 | no | — |
| 545 | D3×C3⋊D3 | — | 72 | 6 | no | — |
| 546 | C3×D32 | — | 36 | 1 | no | — |
| 547 | C3×D32 | — | 36 | 1 | no | — |
| 548 | C3×D32 | — | 72 | 1 | no | — |
| 549 | C3×D32 | — | 72 | 1 | no | — |
| 550 | C3×D32 | — | 72 | 3 | no | — |
| 551 | C3×D32 | — | 72 | 3 | no | — |
| 552 | C3⋊#157 | — | 6 | 1 | no | — |
| 553 | C3×#157 | — | 3 | 1 | no | — |
| 554 | C3×#157 | — | 3 | 1 | no | — |
| 555 | C3×#157 | — | 3 | 1 | no | — |
| 556 | C3×#157 | — | 3 | 1 | no | — |
| 557 | C3×#157 | — | 6 | 1 | no | — |
| 558 | C3×#157 | — | 6 | 1 | no | — |
| 559 | C3×#157 | — | 18 | 1 | no | — |
| 560 | C33×C4 | — | 3 | 1 | no | — |
| 561 | C33×C4 | — | 12 | 1 | no | — |
| 562 | C33×C4 | — | 24 | 1 | no | — |
| 563 | C3⋊(C3⋊Dic3) | C3⋊GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 564 | C3×C3⋊Dic3 | — | 3 | 1 | no | — |
| 565 | C3×C3⋊Dic3 | — | 12 | 1 | no | — |
| 566 | C3×C3⋊Dic3 | — | 12 | 3 | no | — |
| 567 | C3×C3⋊Dic3 | — | 24 | 1 | no | — |
| 568 | C32×Dic3 | — | 4 | 1 | no | — |
| 569 | C32×Dic3 | — | 4 | 3 | no | — |
| 570 | C32×Dic3 | — | 8 | 1 | no | — |
| 571 | C32×Dic3 | — | 8 | 3 | no | — |
| 572 | C32×Dic3 | — | 12 | 1 | no | — |
| 573 | C32×Dic3 | — | 24 | 1 | no | — |
| 574 | C32×Dic3 | — | 24 | 1 | no | — |
| 575 | C32×Dic3 | — | 36 | 1 | no | — |
| 576 | C32×Dic3 | — | 36 | 1 | no | — |
| 577 | C32×Dic3 | — | 48 | 1 | no | — |
| 578 | C32×Dic3 | — | 72 | 1 | no | — |
| 579 | C32×Dic3 | C3⋊GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 580 | C2×#272 | — | 12 | 3 | no | — |
| 581 | C2×#272 | — | 24 | 3 | no | — |
| 582 | C2×#272 | — | 36 | 3 | no | — |
| 583 | C2×#272 | — | 72 | 3 | no | — |
| 584 | C2×#272 | — | 72 | 3 | no | — |
| 585 | C2×#272 | — | 72 | 3 | no | — |
| 586 | C2×#272 | — | 144 | 3 | no | — |
| 587 | C2×#272 | — | 144 | 3 | no | — |
| 588 | C2×#272 | — | 144 | 6 | no | — |
| 589 | C2×#272 | — | 144 | 3 | no | — |
| 590 | C2×(C3⋊D3)⋊C3 | — | 4 | 3 | no | — |
| 591 | C2×(C3⋊D3)⋊C3 | — | 8 | 3 | no | — |
| 592 | C2×(C3⋊D3)⋊C3 | — | 12 | 3 | no | — |
| 593 | C2×(C3⋊D3)⋊C3 | — | 24 | 3 | no | — |
| 594 | C2×(C3⋊D3)⋊C3 | — | 36 | 3 | no | — |
| 595 | C2×(C3⋊D3)⋊C3 | — | 72 | 3 | no | — |
| 596 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 3 | no | — |
| 597 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 3 | no | — |
| 598 | ((C3⋊D3)⋊C3)⋊C2 | — | 72 | 3 | no | — |
| 599 | ((C3⋊D3)⋊C3)⋊C2 | — | 72 | 3 | no | — |
| 600 | ((C3⋊D3)⋊C3)⋊C2 | — | 72 | 6 | no | — |
| 601 | ((C3⋊D3)⋊C3)⋊C2 | — | 72 | 6 | no | — |
| 602 | C4×H(3,𝔽3) | — | 12 | 3 | no | — |
| 603 | C4×H(3,𝔽3) | — | 24 | 3 | no | — |
| 604 | (C3⋊Dic3)⋊C3 | — | 12 | 3 | no | — |
| 605 | (C3⋊Dic3)⋊C3 | — | 24 | 3 | no | — |
| 606 | C2×GL(2,𝔽3) | — | 27 | 3 | no | — |
| 607 | C2×GL(2,𝔽3) | — | 81 | 3 | no | — |
| 608 | C2×GL(2,𝔽3) | — | 162 | 3 | no | — |
| 609 | C2×C3×SD16 | — | 81 | 1 | no | — |
| 610 | C3×C4×Q8 | — | 27 | 1 | no | — |
| 611 | Q8×Dic3 | — | 9 | 1 | no | — |
| 612 | C2×#215 | — | 27 | 1 | no | — |
| 613 | C2×#215 | — | 81 | 1 | no | — |
| 614 | C2×#215 | — | 81 | 1 | no | — |
| 615 | C2×#215 | — | 162 | 1 | no | — |
| 616 | #940 | — | 81 | 1 | no | — |
| 617 | #874 | — | 81 | 1 | no | — |
| 618 | C4×SL(2,𝔽3) | — | 27 | 3 | no | — |
| 619 | #832 | — | 81 | 1 | no | — |
| 620 | #821 | — | 81 | 1 | no | — |
| 621 | Dic3⋊C8 | — | 81 | 1 | no | — |
| 622 | #809 | — | 81 | 1 | no | — |
| 623 | #809 | — | 81 | 1 | no | — |
| 624 | C4⋊(C3⋊C8) | — | 81 | 1 | no | — |
| 625 | C34 | — | 4 | 1 | no | — |
| 626 | C34 | — | 8 | 1 | no | — |
| 627 | C34 | C4⋊GL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 628 | C3×H(3,𝔽3) | — | 4 | 1 | no | — |
| 629 | C3×H(3,𝔽3) | — | 4 | 3 | no | — |
| 630 | C3×H(3,𝔽3) | — | 8 | 3 | no | — |
| 631 | C3×H(3,𝔽3) | — | 8 | 1 | no | — |
| 632 | C3×H(3,𝔽3) | — | 8 | 1 | no | — |
| 633 | C3×H(3,𝔽3) | — | 8 | 3 | no | — |
| 634 | C3×H(3,𝔽3) | — | 16 | 3 | no | — |
| 635 | C3×H(3,𝔽3) | — | 16 | 1 | no | — |
| 636 | C22×C3⋊D3 | — | 36 | 1 | no | — |
| 637 | C22×C3⋊D3 | — | 54 | 1 | no | — |
| 638 | C22×C3⋊D3 | — | 108 | 1 | no | — |
| 639 | C22×C3⋊D3 | — | 108 | 3 | no | — |
| 640 | C22×C3⋊D3 | — | 216 | 3 | no | — |
| 641 | C22×C3⋊D3 | — | 216 | 1 | no | — |
| 642 | C22×C3×D3 | — | 54 | 1 | no | — |
| 643 | C22×C3×D3 | — | 108 | 1 | no | — |
| 644 | C22×C3×D3 | — | 108 | 3 | no | — |
| 645 | C2×D32 | — | 18 | 1 | no | — |
| 646 | C2×D32 | — | 36 | 1 | no | — |
| 647 | C2×D32 | — | 36 | 3 | no | — |
| 648 | C2×D32 | — | 54 | 1 | no | — |
| 649 | C2×D32 | — | 108 | 3 | no | — |
| 650 | C2×D32 | — | 108 | 1 | no | — |
| 651 | C2×D32 | — | 108 | 1 | no | — |
| 652 | C2×D32 | — | 216 | 1 | no | — |
| 653 | C2×D32 | — | 216 | 3 | no | — |
| 654 | C2×#157 | — | 3 | 1 | no | — |
| 655 | C2×#157 | — | 9 | 1 | no | — |
| 656 | PSU(3,𝔽2) | — | 3 | 1 | no | — |
| 657 | PSU(3,𝔽2) | #6292 | 1 | 1 | yes | characteristic, complemented |
| 658 | GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 659 | GO+(4,𝔽2) | — | 18 | 1 | no | — |
| 660 | GO+(4,𝔽2) | — | 54 | 1 | no | — |
| 661 | GO+(4,𝔽2) | — | 54 | 1 | no | — |
| 662 | GO+(4,𝔽2) | — | 108 | 2 | no | — |
| 663 | AGL(1,𝔽9) | — | 18 | 1 | no | — |
| 664 | AGL(1,𝔽9) | — | 54 | 1 | no | — |
| 665 | C32×Q8 | — | 9 | 1 | no | — |
| 666 | C32×Q8 | — | 27 | 1 | no | — |
| 667 | C2×C32×C4 | — | 27 | 1 | no | — |
| 668 | C2×C32×C4 | — | 108 | 1 | no | — |
| 669 | #638 | — | 108 | 1 | no | — |
| 670 | C4⋊(C3⋊D3) | — | 36 | 3 | no | — |
| 671 | C4⋊(C3⋊D3) | — | 36 | 1 | no | — |
| 672 | C4⋊(C3⋊D3) | — | 36 | 1 | no | — |
| 673 | C4⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 674 | C4⋊(C3⋊D3) | — | 54 | 1 | no | — |
| 675 | C4⋊(C3⋊D3) | — | 72 | 1 | no | — |
| 676 | C4⋊(C3⋊D3) | — | 108 | 1 | no | — |
| 677 | C4⋊(C3⋊D3) | — | 108 | 1 | no | — |
| 678 | C4⋊(C3⋊D3) | — | 108 | 1 | no | — |
| 679 | C4⋊(C3⋊D3) | — | 216 | 1 | no | — |
| 680 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 681 | C3×#67 | — | 108 | 1 | no | — |
| 682 | C2×C3×Dic3 | — | 9 | 1 | no | — |
| 683 | C2×C3×Dic3 | — | 27 | 1 | no | — |
| 684 | C2×C3×Dic3 | — | 36 | 3 | no | — |
| 685 | C3×D12 | — | 54 | 1 | no | — |
| 686 | C3×D12 | — | 54 | 1 | no | — |
| 687 | C3×D12 | — | 108 | 1 | no | — |
| 688 | C3×D12 | — | 108 | 3 | no | — |
| 689 | C3×D12 | — | 108 | 1 | no | — |
| 690 | C3×D12 | — | 216 | 3 | no | — |
| 691 | C3×D12 | — | 216 | 1 | no | — |
| 692 | C3×C4×D3 | — | 36 | 1 | no | — |
| 693 | C3×C4×D3 | — | 36 | 3 | no | — |
| 694 | C3×SL(2,𝔽3) | — | 9 | 1 | no | — |
| 695 | C3×SL(2,𝔽3) | — | 9 | 3 | no | — |
| 696 | C3×SL(2,𝔽3) | — | 18 | 3 | no | — |
| 697 | C3×SL(2,𝔽3) | — | 18 | 1 | no | — |
| 698 | #626 | — | 36 | 1 | no | — |
| 699 | #626 | — | 36 | 3 | no | — |
| 700 | #626 | — | 36 | 1 | no | — |
| 701 | #626 | — | 72 | 1 | no | — |
| 702 | #626 | — | 72 | 3 | no | — |
| 703 | #626 | — | 108 | 1 | no | — |
| 704 | #626 | — | 108 | 3 | no | — |
| 705 | #626 | — | 108 | 1 | no | — |
| 706 | #626 | — | 108 | 3 | no | — |
| 707 | #626 | — | 108 | 3 | no | — |
| 708 | #626 | — | 108 | 1 | no | — |
| 709 | #626 | — | 108 | 3 | no | — |
| 710 | #626 | — | 108 | 2 | no | — |
| 711 | #626 | — | 108 | 3 | no | — |
| 712 | #626 | — | 216 | 1 | no | — |
| 713 | #626 | — | 216 | 3 | no | — |
| 714 | #625 | — | 108 | 1 | no | — |
| 715 | #625 | — | 108 | 1 | no | — |
| 716 | #625 | — | 216 | 1 | no | — |
| 717 | D3×Dic3 | — | 12 | 1 | no | — |
| 718 | C3⋊(C3⋊C8) | — | 54 | 1 | no | — |
| 719 | C3×C3⋊C8 | — | 54 | 1 | no | — |
| 720 | #460 | — | 243 | 1 | no | Sylow |
| 721 | C2×C33 | — | 2 | 1 | no | — |
| 722 | C2×C33 | — | 4 | 1 | no | — |
| 723 | C2×C33 | — | 4 | 1 | no | — |
| 724 | C2×C33 | — | 4 | 3 | no | — |
| 725 | C2×C33 | — | 8 | 1 | no | — |
| 726 | C2×C33 | — | 8 | 1 | no | — |
| 727 | C2×C33 | — | 8 | 3 | no | — |
| 728 | C2×C33 | — | 8 | 1 | no | — |
| 729 | C2×C33 | — | 8 | 1 | no | — |
| 730 | C2×C33 | — | 8 | 3 | no | — |
| 731 | C2×C33 | — | 12 | 1 | no | — |
| 732 | C2×C33 | — | 16 | 1 | no | — |
| 733 | C2×C33 | — | 16 | 1 | no | — |
| 734 | C2×C33 | — | 16 | 3 | no | — |
| 735 | C2×C33 | — | 24 | 1 | no | — |
| 736 | C2×C33 | — | 24 | 1 | no | — |
| 737 | C2×C33 | — | 24 | 1 | no | — |
| 738 | C2×C33 | — | 36 | 1 | no | — |
| 739 | C2×C33 | — | 36 | 1 | no | — |
| 740 | C2×C33 | — | 48 | 1 | no | — |
| 741 | C2×C33 | — | 48 | 1 | no | — |
| 742 | C2×C33 | — | 48 | 1 | no | — |
| 743 | C2×C33 | — | 96 | 1 | no | — |
| 744 | C2×C33 | D3×GL(2,𝔽3) | 1 | 1 | yes | characteristic |
| 745 | C2×C33 | C2×C3⋊GL(2,𝔽3) | 1 | 1 | yes | characteristic |
| 746 | C3⋊(C3⋊D3) | — | 8 | 1 | no | — |
| 747 | C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 748 | C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 749 | C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 750 | C3⋊(C3⋊D3) | — | 24 | 3 | no | — |
| 751 | C3⋊(C3⋊D3) | — | 24 | 6 | no | — |
| 752 | C3⋊(C3⋊D3) | — | 24 | 2 | no | — |
| 753 | C3⋊(C3⋊D3) | — | 48 | 1 | no | — |
| 754 | C3⋊(C3⋊D3) | — | 72 | 1 | no | — |
| 755 | C3⋊(C3⋊D3) | — | 144 | 1 | no | — |
| 756 | C3⋊(C3⋊D3) | — | 144 | 1 | no | — |
| 757 | C3⋊(C3⋊D3) | — | 144 | 2 | no | — |
| 758 | C3×C3⋊D3 | — | 2 | 1 | no | — |
| 759 | C3×C3⋊D3 | — | 2 | 1 | no | — |
| 760 | C3×C3⋊D3 | — | 24 | 1 | no | — |
| 761 | C3×C3⋊D3 | — | 24 | 1 | no | — |
| 762 | C3×C3⋊D3 | — | 24 | 1 | no | — |
| 763 | C3×C3⋊D3 | — | 24 | 1 | no | — |
| 764 | C3×C3⋊D3 | — | 24 | 3 | no | — |
| 765 | C3×C3⋊D3 | — | 48 | 1 | no | — |
| 766 | C3×C3⋊D3 | — | 48 | 1 | no | — |
| 767 | C3×C3⋊D3 | — | 48 | 1 | no | — |
| 768 | C3×C3⋊D3 | — | 48 | 1 | no | — |
| 769 | C3×C3⋊D3 | — | 48 | 2 | no | — |
| 770 | C3×C3⋊D3 | — | 72 | 1 | no | — |
| 771 | C3×C3⋊D3 | — | 72 | 2 | no | — |
| 772 | C3×C3⋊D3 | — | 72 | 1 | no | — |
| 773 | C3×C3⋊D3 | — | 72 | 1 | no | — |
| 774 | C3×C3⋊D3 | — | 72 | 1 | no | — |
| 775 | C3×C3⋊D3 | — | 72 | 3 | no | — |
| 776 | C3×C3⋊D3 | — | 72 | 1 | no | — |
| 777 | C3×C3⋊D3 | — | 72 | 6 | no | — |
| 778 | C3×C3⋊D3 | — | 72 | 2 | no | — |
| 779 | C3×C3⋊D3 | — | 144 | 1 | no | — |
| 780 | C3×C3⋊D3 | — | 144 | 1 | no | — |
| 781 | C3×C3⋊D3 | — | 144 | 3 | no | — |
| 782 | C3×C3⋊D3 | — | 144 | 1 | no | — |
| 783 | C3×C3⋊D3 | — | 144 | 1 | no | — |
| 784 | C3×C3⋊D3 | — | 144 | 6 | no | — |
| 785 | C3×C3⋊D3 | — | 144 | 2 | no | — |
| 786 | C3×C3⋊D3 | — | 144 | 2 | no | — |
| 787 | C3×C3⋊D3 | #64199 | 1 | 1 | yes | characteristic |
| 788 | C3×C3⋊D3 | #64207 | 1 | 1 | yes | characteristic |
| 789 | C3×C3⋊D3 | C4⋊(C3⋊S4) | 1 | 1 | yes | characteristic |
| 790 | C3×C3⋊D3 | #64267 | 1 | 1 | yes | characteristic |
| 791 | C32×D3 | — | 12 | 1 | no | — |
| 792 | C32×D3 | — | 12 | 1 | no | — |
| 793 | C32×D3 | — | 12 | 1 | no | — |
| 794 | C32×D3 | — | 12 | 1 | no | — |
| 795 | C32×D3 | — | 12 | 3 | no | — |
| 796 | C32×D3 | — | 12 | 3 | no | — |
| 797 | C32×D3 | — | 24 | 1 | no | — |
| 798 | C32×D3 | — | 24 | 1 | no | — |
| 799 | C32×D3 | — | 24 | 3 | no | — |
| 800 | C32×D3 | — | 24 | 3 | no | — |
| 801 | C32×D3 | — | 72 | 3 | no | — |
| 802 | C32×D3 | — | 72 | 1 | no | — |
| 803 | C32×D3 | — | 72 | 1 | no | — |
| 804 | C32×D3 | — | 144 | 3 | no | — |
| 805 | C32×D3 | — | 144 | 1 | no | — |
| 806 | C2×H(3,𝔽3) | — | 4 | 3 | no | — |
| 807 | C2×H(3,𝔽3) | — | 8 | 3 | no | — |
| 808 | C2×H(3,𝔽3) | — | 8 | 3 | no | — |
| 809 | C2×H(3,𝔽3) | — | 8 | 3 | no | — |
| 810 | C2×H(3,𝔽3) | — | 16 | 3 | no | — |
| 811 | C2×H(3,𝔽3) | — | 16 | 3 | no | — |
| 812 | C2×H(3,𝔽3) | — | 16 | 3 | no | — |
| 813 | C2×H(3,𝔽3) | — | 16 | 6 | no | — |
| 814 | #272 | — | 24 | 3 | no | — |
| 815 | #272 | — | 48 | 3 | no | — |
| 816 | #272 | — | 72 | 3 | no | — |
| 817 | #272 | — | 72 | 6 | no | — |
| 818 | #272 | — | 144 | 3 | no | — |
| 819 | #272 | — | 144 | 3 | no | — |
| 820 | #272 | — | 144 | 6 | no | — |
| 821 | #272 | — | 144 | 12 | no | — |
| 822 | #272 | — | 144 | 6 | no | — |
| 823 | #272 | — | 144 | 6 | no | — |
| 824 | (C3⋊D3)⋊C3 | — | 4 | 3 | no | — |
| 825 | (C3⋊D3)⋊C3 | — | 4 | 3 | no | — |
| 826 | (C3⋊D3)⋊C3 | — | 8 | 3 | no | — |
| 827 | (C3⋊D3)⋊C3 | — | 8 | 3 | no | — |
| 828 | (C3⋊D3)⋊C3 | — | 24 | 3 | no | — |
| 829 | (C3⋊D3)⋊C3 | — | 48 | 3 | no | — |
| 830 | (C3⋊D3)⋊C3 | — | 72 | 3 | no | — |
| 831 | (C3⋊D3)⋊C3 | — | 72 | 6 | no | — |
| 832 | C2×C3×Q8 | — | 9 | 1 | no | — |
| 833 | C2×C3×Q8 | — | 9 | 1 | no | — |
| 834 | C2×C3×Q8 | — | 18 | 1 | no | — |
| 835 | C2×C3×D4 | — | 81 | 1 | no | — |
| 836 | C2×#67 | — | 162 | 1 | no | — |
| 837 | C2×#67 | — | 162 | 1 | no | — |
| 838 | D3×D4 | — | 324 | 1 | no | — |
| 839 | C2×D12 | — | 27 | 1 | no | — |
| 840 | C2×D12 | — | 324 | 3 | no | — |
| 841 | C2×D12 | — | 81 | 1 | no | — |
| 842 | C2×D12 | — | 81 | 1 | no | — |
| 843 | C2×D12 | — | 162 | 1 | no | — |
| 844 | C2×D12 | — | 162 | 1 | no | — |
| 845 | C2×D12 | — | 162 | 1 | no | — |
| 846 | C2×SL(2,𝔽3) | — | 9 | 3 | no | — |
| 847 | C2×SL(2,𝔽3) | — | 18 | 3 | no | — |
| 848 | GL(2,𝔽3) | — | 54 | 3 | no | — |
| 849 | GL(2,𝔽3) | — | 162 | 3 | no | — |
| 850 | GL(2,𝔽3) | — | 162 | 6 | no | — |
| 851 | C3×SD16 | — | 162 | 1 | no | — |
| 852 | C3×SD16 | — | 162 | 1 | no | — |
| 853 | C2×C3×C8 | — | 81 | 1 | no | — |
| 854 | C3×C4⋊C4 | — | 81 | 1 | no | — |
| 855 | C3×C42 | — | 81 | 1 | no | — |
| 856 | #215 | — | 54 | 1 | no | — |
| 857 | #215 | — | 54 | 1 | no | — |
| 858 | #215 | — | 162 | 1 | no | — |
| 859 | #215 | — | 162 | 1 | no | — |
| 860 | #215 | — | 162 | 2 | no | — |
| 861 | #215 | — | 162 | 1 | no | — |
| 862 | #215 | — | 162 | 1 | no | — |
| 863 | #215 | — | 162 | 2 | no | — |
| 864 | C4⋊Dic3 | — | 27 | 1 | no | — |
| 865 | C4×Dic3 | — | 27 | 1 | no | — |
| 866 | C2×C3⋊C8 | — | 27 | 1 | no | — |
| 867 | C2×C3⋊C8 | — | 81 | 1 | no | — |
| 868 | C2×C3⋊C8 | — | 81 | 1 | no | — |
| 869 | C2×C3⋊C8 | — | 162 | 1 | no | — |
| 870 | C22×C32 | — | 9 | 1 | no | — |
| 871 | C22×C32 | — | 36 | 1 | no | — |
| 872 | C22×C32 | — | 36 | 3 | no | — |
| 873 | C22×C32 | — | 72 | 1 | no | — |
| 874 | C22×C32 | — | 72 | 3 | no | — |
| 875 | C22×C32 | — | 108 | 1 | no | — |
| 876 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 877 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 878 | C2×C3⋊D3 | — | 12 | 3 | no | — |
| 879 | C2×C3⋊D3 | — | 24 | 1 | no | — |
| 880 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 881 | C2×C3⋊D3 | — | 36 | 3 | no | — |
| 882 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 883 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 884 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 885 | C2×C3⋊D3 | — | 36 | 3 | no | — |
| 886 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 887 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 888 | C2×C3⋊D3 | — | 72 | 3 | no | — |
| 889 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 890 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 891 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 892 | C2×C3⋊D3 | — | 72 | 3 | no | — |
| 893 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 894 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 895 | C2×C3⋊D3 | — | 72 | 3 | no | — |
| 896 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 897 | C2×C3⋊D3 | — | 72 | 1 | no | — |
| 898 | C2×C3⋊D3 | — | 108 | 1 | no | — |
| 899 | C2×C3⋊D3 | — | 108 | 1 | no | — |
| 900 | C2×C3⋊D3 | — | 108 | 1 | no | — |
| 901 | C2×C3⋊D3 | — | 108 | 3 | no | — |
| 902 | C2×C3⋊D3 | — | 144 | 1 | no | — |
| 903 | C2×C3⋊D3 | — | 144 | 3 | no | — |
| 904 | C2×C3⋊D3 | — | 144 | 1 | no | — |
| 905 | C2×C3⋊D3 | — | 432 | 3 | no | — |
| 906 | C2×C3⋊D3 | — | 432 | 1 | no | — |
| 907 | C2×C3⋊D3 | — | 216 | 1 | no | — |
| 908 | C2×C3⋊D3 | — | 216 | 1 | no | — |
| 909 | C2×C3⋊D3 | — | 216 | 3 | no | — |
| 910 | C2×C3⋊D3 | — | 216 | 1 | no | — |
| 911 | C2×C3⋊D3 | — | 216 | 3 | no | — |
| 912 | C2×C3⋊D3 | — | 216 | 2 | no | — |
| 913 | C2×C3⋊D3 | — | 216 | 2 | no | — |
| 914 | C2×C3⋊D3 | — | 216 | 6 | no | — |
| 915 | C2×C3⋊D3 | — | 216 | 3 | no | — |
| 916 | C2×C3⋊D3 | — | 216 | 3 | no | — |
| 917 | C2×C3⋊D3 | — | 216 | 1 | no | — |
| 918 | C2×C3⋊D3 | — | 216 | 6 | no | — |
| 919 | C2×C3⋊D3 | D3×C3⋊S4 | 1 | 1 | yes | characteristic |
| 920 | C2×C3×D3 | — | 12 | 1 | no | — |
| 921 | C2×C3×D3 | — | 12 | 1 | no | — |
| 922 | C2×C3×D3 | — | 12 | 3 | no | — |
| 923 | C2×C3×D3 | — | 24 | 1 | no | — |
| 924 | C2×C3×D3 | — | 24 | 3 | no | — |
| 925 | C2×C3×D3 | — | 36 | 3 | no | — |
| 926 | C2×C3×D3 | — | 36 | 1 | no | — |
| 927 | C2×C3×D3 | — | 36 | 1 | no | — |
| 928 | C2×C3×D3 | — | 36 | 3 | no | — |
| 929 | C2×C3×D3 | — | 36 | 1 | no | — |
| 930 | C2×C3×D3 | — | 36 | 1 | no | — |
| 931 | C2×C3×D3 | — | 72 | 1 | no | — |
| 932 | C2×C3×D3 | — | 72 | 1 | no | — |
| 933 | C2×C3×D3 | — | 72 | 3 | no | — |
| 934 | C2×C3×D3 | — | 72 | 3 | no | — |
| 935 | C2×C3×D3 | — | 72 | 1 | no | — |
| 936 | C2×C3×D3 | — | 72 | 1 | no | — |
| 937 | C2×C3×D3 | — | 72 | 3 | no | — |
| 938 | C2×C3×D3 | — | 108 | 1 | no | — |
| 939 | C2×C3×D3 | — | 108 | 1 | no | — |
| 940 | C2×C3×D3 | — | 108 | 3 | no | — |
| 941 | C2×C3×D3 | — | 108 | 1 | no | — |
| 942 | C2×C3×D3 | — | 108 | 1 | no | — |
| 943 | C2×C3×D3 | — | 108 | 1 | no | — |
| 944 | C2×C3×D3 | — | 108 | 3 | no | — |
| 945 | C2×C3×D3 | — | 144 | 1 | no | — |
| 946 | C2×C3×D3 | — | 144 | 3 | no | — |
| 947 | C2×C3×D3 | — | 432 | 3 | no | — |
| 948 | C2×C3×D3 | — | 432 | 1 | no | — |
| 949 | C2×C3×D3 | — | 216 | 1 | no | — |
| 950 | C2×C3×D3 | — | 216 | 1 | no | — |
| 951 | C2×C3×D3 | — | 216 | 3 | no | — |
| 952 | C2×C3×D3 | — | 216 | 3 | no | — |
| 953 | C2×C3×D3 | — | 216 | 3 | no | — |
| 954 | C2×C3×D3 | — | 216 | 1 | no | — |
| 955 | C2×C3×D3 | — | 216 | 1 | no | — |
| 956 | C2×C3×D3 | — | 216 | 3 | no | — |
| 957 | C2×C3×D3 | — | 216 | 1 | no | — |
| 958 | D32 | — | 36 | 1 | no | — |
| 959 | D32 | — | 36 | 1 | no | — |
| 960 | D32 | — | 72 | 1 | no | — |
| 961 | D32 | — | 72 | 1 | no | — |
| 962 | D32 | — | 72 | 3 | no | — |
| 963 | D32 | — | 72 | 3 | no | — |
| 964 | D32 | — | 108 | 1 | no | — |
| 965 | D32 | — | 108 | 1 | no | — |
| 966 | D32 | — | 216 | 1 | no | — |
| 967 | D32 | — | 216 | 1 | no | — |
| 968 | D32 | — | 216 | 1 | no | — |
| 969 | D32 | — | 216 | 1 | no | — |
| 970 | D32 | — | 216 | 2 | no | — |
| 971 | D32 | — | 216 | 3 | no | — |
| 972 | D32 | — | 216 | 3 | no | — |
| 973 | D32 | — | 216 | 6 | no | — |
| 974 | D32 | — | 216 | 6 | no | — |
| 975 | D32 | — | 216 | 2 | no | — |
| 976 | #157 | — | 3 | 1 | no | — |
| 977 | #157 | — | 3 | 1 | no | — |
| 978 | #157 | — | 18 | 1 | no | — |
| 979 | C32×C4 | — | 3 | 1 | no | — |
| 980 | C32×C4 | — | 12 | 1 | no | — |
| 981 | C32×C4 | — | 12 | 3 | no | — |
| 982 | C32×C4 | — | 24 | 1 | no | — |
| 983 | C32×C4 | — | 24 | 3 | no | — |
| 984 | C32×C4 | — | 27 | 1 | no | — |
| 985 | C32×C4 | — | 27 | 1 | no | — |
| 986 | C32×C4 | — | 36 | 1 | no | — |
| 987 | C32×C4 | — | 72 | 1 | no | — |
| 988 | C32×C4 | — | 72 | 1 | no | — |
| 989 | C32×C4 | — | 108 | 1 | no | — |
| 990 | C32×C4 | — | 144 | 1 | no | — |
| 991 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 992 | C3⋊Dic3 | — | 12 | 1 | no | — |
| 993 | C3⋊Dic3 | — | 24 | 1 | no | — |
| 994 | C3×Dic3 | — | 4 | 1 | no | — |
| 995 | C3×Dic3 | — | 8 | 1 | no | — |
| 996 | C3×Dic3 | — | 9 | 1 | no | — |
| 997 | C3×Dic3 | — | 12 | 3 | no | — |
| 998 | C3×Dic3 | — | 24 | 3 | no | — |
| 999 | C3×Dic3 | — | 36 | 3 | no | — |
| 1000 | C3×Dic3 | — | 36 | 1 | no | — |
| 1001 | C3×Dic3 | — | 36 | 3 | no | — |
| 1002 | C3×Dic3 | — | 54 | 1 | no | — |
| 1003 | C3×Dic3 | — | 72 | 1 | no | — |
| 1004 | C3×Dic3 | — | 72 | 3 | no | — |
| 1005 | C3×Dic3 | AGL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 1006 | C2×SD16 | — | 81 | 1 | no | — |
| 1007 | C2×SD16 | — | 243 | 1 | no | — |
| 1008 | #127 | — | 243 | 1 | no | — |
| 1009 | C4×Q8 | — | 27 | 1 | no | — |
| 1010 | C4⋊C8 | — | 243 | 1 | no | — |
| 1011 | #102 | — | 243 | 1 | no | — |
| 1012 | #102 | — | 243 | 1 | no | — |
| 1013 | C33 | — | 2 | 1 | no | — |
| 1014 | C33 | — | 4 | 1 | no | — |
| 1015 | C33 | — | 4 | 1 | no | — |
| 1016 | C33 | — | 4 | 3 | no | — |
| 1017 | C33 | — | 8 | 1 | no | — |
| 1018 | C33 | — | 8 | 3 | no | — |
| 1019 | C33 | — | 8 | 1 | no | — |
| 1020 | C33 | — | 8 | 1 | no | — |
| 1021 | C33 | — | 8 | 1 | no | — |
| 1022 | C33 | — | 8 | 3 | no | — |
| 1023 | C33 | — | 12 | 1 | no | — |
| 1024 | C33 | — | 16 | 1 | no | — |
| 1025 | C33 | — | 16 | 1 | no | — |
| 1026 | C33 | — | 16 | 3 | no | — |
| 1027 | C33 | — | 24 | 1 | no | — |
| 1028 | C33 | — | 24 | 1 | no | — |
| 1029 | C33 | — | 24 | 1 | no | — |
| 1030 | C33 | — | 48 | 1 | no | — |
| 1031 | C33 | — | 48 | 1 | no | — |
| 1032 | C33 | — | 48 | 1 | no | — |
| 1033 | C33 | — | 96 | 1 | no | — |
| 1034 | C33 | #10593215 | 1 | 1 | yes | characteristic, complemented |
| 1035 | C33 | C4⋊(C3⋊GL(2,𝔽3)) | 1 | 1 | yes | characteristic, complemented |
| 1036 | H(3,𝔽3) | — | 4 | 3 | no | — |
| 1037 | H(3,𝔽3) | — | 8 | 3 | no | — |
| 1038 | H(3,𝔽3) | — | 8 | 3 | no | — |
| 1039 | H(3,𝔽3) | — | 8 | 3 | no | — |
| 1040 | H(3,𝔽3) | — | 16 | 3 | no | — |
| 1041 | H(3,𝔽3) | — | 16 | 3 | no | — |
| 1042 | H(3,𝔽3) | — | 16 | 3 | no | — |
| 1043 | H(3,𝔽3) | — | 16 | 6 | no | — |
| 1044 | C23×C3 | — | 162 | 1 | no | — |
| 1045 | C22×D3 | — | 54 | 1 | no | — |
| 1046 | C22×D3 | — | 324 | 1 | no | — |
| 1047 | C22×D3 | — | 324 | 1 | no | — |
| 1048 | C22×D3 | — | 324 | 3 | no | — |
| 1049 | C22×D3 | — | 108 | 1 | no | — |
| 1050 | C22×D3 | — | 108 | 3 | no | — |
| 1051 | C22×D3 | — | 648 | 3 | no | — |
| 1052 | C22×D3 | — | 162 | 1 | no | — |
| 1053 | C22×D3 | — | 162 | 1 | no | — |
| 1054 | C3×Q8 | — | 9 | 1 | no | — |
| 1055 | C3×Q8 | — | 9 | 1 | no | — |
| 1056 | C3×Q8 | — | 18 | 1 | no | — |
| 1057 | C3×Q8 | — | 27 | 1 | no | — |
| 1058 | C3×Q8 | — | 27 | 1 | no | — |
| 1059 | C3×Q8 | — | 54 | 1 | no | — |
| 1060 | C3×D4 | — | 324 | 1 | no | — |
| 1061 | C3×D4 | — | 162 | 1 | no | — |
| 1062 | C3×D4 | — | 162 | 1 | no | — |
| 1063 | C2×C3×C4 | — | 27 | 1 | no | — |
| 1064 | C2×C3×C4 | — | 27 | 1 | no | — |
| 1065 | C2×C3×C4 | — | 27 | 1 | no | — |
| 1066 | C2×C3×C4 | — | 54 | 1 | no | — |
| 1067 | C2×C3×C4 | — | 81 | 1 | no | — |
| 1068 | C2×C3×C4 | — | 108 | 3 | no | — |
| 1069 | #67 | — | 324 | 1 | no | — |
| 1070 | #67 | — | 324 | 1 | no | — |
| 1071 | #67 | — | 324 | 1 | no | — |
| 1072 | #67 | — | 324 | 2 | no | — |
| 1073 | #67 | — | 108 | 1 | no | — |
| 1074 | #67 | — | 648 | 1 | no | — |
| 1075 | C2×Dic3 | — | 9 | 1 | no | — |
| 1076 | C2×Dic3 | — | 27 | 1 | no | — |
| 1077 | D12 | — | 54 | 1 | no | — |
| 1078 | D12 | — | 54 | 1 | no | — |
| 1079 | D12 | — | 324 | 3 | no | — |
| 1080 | D12 | — | 324 | 1 | no | — |
| 1081 | D12 | — | 324 | 3 | no | — |
| 1082 | D12 | — | 324 | 3 | no | — |
| 1083 | D12 | — | 324 | 2 | no | — |
| 1084 | D12 | — | 324 | 1 | no | — |
| 1085 | D12 | — | 108 | 1 | no | — |
| 1086 | D12 | — | 108 | 1 | no | — |
| 1087 | D12 | — | 108 | 3 | no | — |
| 1088 | D12 | — | 162 | 1 | no | — |
| 1089 | D12 | — | 162 | 1 | no | — |
| 1090 | D12 | — | 162 | 1 | no | — |
| 1091 | D12 | — | 162 | 1 | no | — |
| 1092 | D12 | — | 162 | 2 | no | — |
| 1093 | D12 | — | 216 | 1 | no | — |
| 1094 | D12 | — | 216 | 3 | no | — |
| 1095 | C4×D3 | — | 36 | 1 | no | — |
| 1096 | SL(2,𝔽3) | — | 9 | 3 | no | — |
| 1097 | SL(2,𝔽3) | — | 18 | 3 | no | — |
| 1098 | C3×C8 | — | 162 | 1 | no | — |
| 1099 | C3⋊C8 | — | 54 | 1 | no | — |
| 1100 | C3⋊C8 | — | 162 | 1 | no | — |
| 1101 | C3⋊C8 | — | 162 | 1 | no | — |
| 1102 | C3⋊C8 | — | 162 | 2 | no | — |
| 1103 | C2×C32 | — | 4 | 1 | no | — |
| 1104 | C2×C32 | — | 4 | 1 | no | — |
| 1105 | C2×C32 | — | 4 | 3 | no | — |
| 1106 | C2×C32 | — | 8 | 1 | no | — |
| 1107 | C2×C32 | — | 8 | 1 | no | — |
| 1108 | C2×C32 | — | 8 | 1 | no | — |
| 1109 | C2×C32 | — | 8 | 3 | no | — |
| 1110 | C2×C32 | — | 8 | 3 | no | — |
| 1111 | C2×C32 | — | 8 | 1 | no | — |
| 1112 | C2×C32 | — | 8 | 1 | no | — |
| 1113 | C2×C32 | — | 9 | 1 | no | — |
| 1114 | C2×C32 | — | 9 | 1 | no | — |
| 1115 | C2×C32 | — | 12 | 1 | no | — |
| 1116 | C2×C32 | — | 12 | 3 | no | — |
| 1117 | C2×C32 | — | 16 | 1 | no | — |
| 1118 | C2×C32 | — | 16 | 1 | no | — |
| 1119 | C2×C32 | — | 16 | 3 | no | — |
| 1120 | C2×C32 | — | 24 | 3 | no | — |
| 1121 | C2×C32 | — | 24 | 1 | no | — |
| 1122 | C2×C32 | — | 24 | 3 | no | — |
| 1123 | C2×C32 | — | 24 | 1 | no | — |
| 1124 | C2×C32 | — | 24 | 1 | no | — |
| 1125 | C2×C32 | — | 24 | 3 | no | — |
| 1126 | C2×C32 | — | 36 | 1 | no | — |
| 1127 | C2×C32 | — | 36 | 1 | no | — |
| 1128 | C2×C32 | — | 36 | 3 | no | — |
| 1129 | C2×C32 | — | 36 | 3 | no | — |
| 1130 | C2×C32 | — | 48 | 3 | no | — |
| 1131 | C2×C32 | — | 48 | 1 | no | — |
| 1132 | C2×C32 | — | 48 | 1 | no | — |
| 1133 | C2×C32 | — | 48 | 1 | no | — |
| 1134 | C2×C32 | — | 48 | 3 | no | — |
| 1135 | C2×C32 | — | 48 | 3 | no | — |
| 1136 | C2×C32 | — | 48 | 1 | no | — |
| 1137 | C2×C32 | — | 72 | 1 | no | — |
| 1138 | C2×C32 | — | 72 | 1 | no | — |
| 1139 | C2×C32 | — | 72 | 3 | no | — |
| 1140 | C2×C32 | — | 72 | 3 | no | — |
| 1141 | C2×C32 | — | 96 | 1 | no | — |
| 1142 | C2×C32 | — | 96 | 3 | no | — |
| 1143 | C2×C32 | — | 216 | 1 | no | — |
| 1144 | C2×C32 | D3×C3⋊GL(2,𝔽3) | 1 | 1 | yes | characteristic |
| 1145 | C2×C32 | C2×AGL(2,𝔽3) | 1 | 1 | yes | characteristic |
| 1146 | C3⋊D3 | — | 24 | 1 | no | — |
| 1147 | C3⋊D3 | — | 24 | 1 | no | — |
| 1148 | C3⋊D3 | — | 24 | 3 | no | — |
| 1149 | C3⋊D3 | — | 48 | 1 | no | — |
| 1150 | C3⋊D3 | — | 72 | 1 | no | — |
| 1151 | C3⋊D3 | — | 72 | 3 | no | — |
| 1152 | C3⋊D3 | — | 72 | 6 | no | — |
| 1153 | C3⋊D3 | — | 72 | 1 | no | — |
| 1154 | C3⋊D3 | — | 72 | 1 | no | — |
| 1155 | C3⋊D3 | — | 72 | 2 | no | — |
| 1156 | C3⋊D3 | — | 72 | 1 | no | — |
| 1157 | C3⋊D3 | — | 72 | 3 | no | — |
| 1158 | C3⋊D3 | — | 72 | 6 | no | — |
| 1159 | C3⋊D3 | — | 72 | 2 | no | — |
| 1160 | C3⋊D3 | — | 72 | 1 | no | — |
| 1161 | C3⋊D3 | — | 144 | 1 | no | — |
| 1162 | C3⋊D3 | — | 144 | 1 | no | — |
| 1163 | C3⋊D3 | — | 144 | 1 | no | — |
| 1164 | C3⋊D3 | — | 144 | 2 | no | — |
| 1165 | C3⋊D3 | — | 144 | 1 | no | — |
| 1166 | C3⋊D3 | — | 144 | 3 | no | — |
| 1167 | C3⋊D3 | — | 144 | 6 | no | — |
| 1168 | C3⋊D3 | — | 144 | 2 | no | — |
| 1169 | C3⋊D3 | — | 432 | 1 | no | — |
| 1170 | C3⋊D3 | — | 432 | 3 | no | — |
| 1171 | C3⋊D3 | — | 432 | 6 | no | — |
| 1172 | C3⋊D3 | — | 432 | 2 | no | — |
| 1173 | C3⋊D3 | — | 216 | 1 | no | — |
| 1174 | C3⋊D3 | — | 216 | 3 | no | — |
| 1175 | C3⋊D3 | — | 216 | 6 | no | — |
| 1176 | C3⋊D3 | — | 216 | 2 | no | — |
| 1177 | C3⋊D3 | #11724194 | 1 | 1 | yes | characteristic |
| 1178 | C3⋊D3 | #11724202 | 1 | 1 | yes | characteristic |
| 1179 | C3×D3 | — | 12 | 1 | no | — |
| 1180 | C3×D3 | — | 12 | 1 | no | — |
| 1181 | C3×D3 | — | 12 | 1 | no | — |
| 1182 | C3×D3 | — | 12 | 1 | no | — |
| 1183 | C3×D3 | — | 12 | 3 | no | — |
| 1184 | C3×D3 | — | 12 | 3 | no | — |
| 1185 | C3×D3 | — | 24 | 1 | no | — |
| 1186 | C3×D3 | — | 24 | 1 | no | — |
| 1187 | C3×D3 | — | 24 | 3 | no | — |
| 1188 | C3×D3 | — | 24 | 3 | no | — |
| 1189 | C3×D3 | — | 72 | 3 | no | — |
| 1190 | C3×D3 | — | 72 | 1 | no | — |
| 1191 | C3×D3 | — | 72 | 1 | no | — |
| 1192 | C3×D3 | — | 72 | 3 | no | — |
| 1193 | C3×D3 | — | 72 | 1 | no | — |
| 1194 | C3×D3 | — | 72 | 1 | no | — |
| 1195 | C3×D3 | — | 144 | 1 | no | — |
| 1196 | C3×D3 | — | 144 | 1 | no | — |
| 1197 | C3×D3 | — | 144 | 3 | no | — |
| 1198 | C3×D3 | — | 144 | 2 | no | — |
| 1199 | C3×D3 | — | 144 | 6 | no | — |
| 1200 | C3×D3 | — | 144 | 3 | no | — |
| 1201 | C3×D3 | — | 144 | 1 | no | — |
| 1202 | C3×D3 | — | 144 | 1 | no | — |
| 1203 | C3×D3 | — | 144 | 3 | no | — |
| 1204 | C3×D3 | — | 432 | 3 | no | — |
| 1205 | C3×D3 | — | 432 | 1 | no | — |
| 1206 | C3×D3 | — | 432 | 1 | no | — |
| 1207 | C3×D3 | — | 432 | 6 | no | — |
| 1208 | C3×D3 | — | 432 | 2 | no | — |
| 1209 | C3×D3 | — | 216 | 3 | no | — |
| 1210 | C3×D3 | — | 216 | 1 | no | — |
| 1211 | C3×D3 | — | 216 | 1 | no | — |
| 1212 | C3×D3 | — | 216 | 6 | no | — |
| 1213 | C3×D3 | — | 216 | 2 | no | — |
| 1214 | C3×D3 | — | 216 | 1 | no | — |
| 1215 | C3×D3 | — | 216 | 3 | no | — |
| 1216 | C2×Q8 | — | 9 | 1 | no | — |
| 1217 | C2×D4 | — | 81 | 1 | no | — |
| 1218 | C2×D4 | — | 486 | 1 | no | — |
| 1219 | C2×D4 | — | 486 | 1 | no | — |
| 1220 | C2×D4 | — | 243 | 1 | no | — |
| 1221 | SD16 | — | 162 | 1 | no | — |
| 1222 | SD16 | — | 162 | 1 | no | — |
| 1223 | SD16 | — | 486 | 1 | no | — |
| 1224 | SD16 | — | 486 | 1 | no | — |
| 1225 | C2×C8 | — | 81 | 1 | no | — |
| 1226 | C2×C8 | — | 243 | 1 | no | — |
| 1227 | C4⋊C4 | — | 81 | 1 | no | — |
| 1228 | C42 | — | 81 | 1 | no | — |
| 1229 | C22×C3 | — | 9 | 1 | no | — |
| 1230 | C22×C3 | — | 9 | 1 | no | — |
| 1231 | C22×C3 | — | 18 | 1 | no | — |
| 1232 | C22×C3 | — | 36 | 3 | no | — |
| 1233 | C22×C3 | — | 324 | 1 | no | — |
| 1234 | C22×C3 | — | 324 | 1 | no | — |
| 1235 | C22×C3 | — | 324 | 1 | no | — |
| 1236 | C22×C3 | — | 72 | 3 | no | — |
| 1237 | C22×C3 | — | 108 | 1 | no | — |
| 1238 | C22×C3 | — | 108 | 1 | no | — |
| 1239 | C22×C3 | — | 216 | 1 | no | — |
| 1240 | C2×D3 | — | 12 | 1 | no | — |
| 1241 | C2×D3 | — | 36 | 1 | no | — |
| 1242 | C2×D3 | — | 36 | 3 | no | — |
| 1243 | C2×D3 | — | 36 | 1 | no | — |
| 1244 | C2×D3 | — | 324 | 3 | no | — |
| 1245 | C2×D3 | — | 324 | 1 | no | — |
| 1246 | C2×D3 | — | 324 | 1 | no | — |
| 1247 | C2×D3 | — | 324 | 1 | no | — |
| 1248 | C2×D3 | — | 324 | 1 | no | — |
| 1249 | C2×D3 | — | 324 | 2 | no | — |
| 1250 | C2×D3 | — | 72 | 1 | no | — |
| 1251 | C2×D3 | — | 72 | 3 | no | — |
| 1252 | C2×D3 | — | 108 | 1 | no | — |
| 1253 | C2×D3 | — | 108 | 1 | no | — |
| 1254 | C2×D3 | — | 108 | 1 | no | — |
| 1255 | C2×D3 | — | 108 | 3 | no | — |
| 1256 | C2×D3 | — | 108 | 1 | no | — |
| 1257 | C2×D3 | — | 108 | 1 | no | — |
| 1258 | C2×D3 | — | 108 | 3 | no | — |
| 1259 | C2×D3 | — | 648 | 3 | no | — |
| 1260 | C2×D3 | — | 648 | 1 | no | — |
| 1261 | C2×D3 | — | 648 | 1 | no | — |
| 1262 | C2×D3 | — | 648 | 3 | no | — |
| 1263 | C2×D3 | — | 648 | 3 | no | — |
| 1264 | C2×D3 | — | 648 | 6 | no | — |
| 1265 | C2×D3 | — | 648 | 6 | no | — |
| 1266 | C2×D3 | — | 648 | 1 | no | — |
| 1267 | C2×D3 | — | 432 | 1 | no | — |
| 1268 | C2×D3 | — | 432 | 3 | no | — |
| 1269 | C2×D3 | — | 216 | 1 | no | — |
| 1270 | C2×D3 | — | 216 | 1 | no | — |
| 1271 | C2×D3 | — | 216 | 3 | no | — |
| 1272 | C2×D3 | — | 216 | 3 | no | — |
| 1273 | C2×D3 | — | 216 | 1 | no | — |
| 1274 | C2×D3 | — | 216 | 1 | no | — |
| 1275 | C2×D3 | — | 216 | 3 | no | — |
| 1276 | C2×D3 | — | 216 | 1 | no | — |
| 1277 | C2×D3 | — | 216 | 3 | no | — |
| 1278 | C3×C4 | — | 3 | 1 | no | — |
| 1279 | C3×C4 | — | 12 | 1 | no | — |
| 1280 | C3×C4 | — | 24 | 1 | no | — |
| 1281 | C3×C4 | — | 27 | 1 | no | — |
| 1282 | C3×C4 | — | 27 | 1 | no | — |
| 1283 | C3×C4 | — | 27 | 1 | no | — |
| 1284 | C3×C4 | — | 27 | 1 | no | — |
| 1285 | C3×C4 | — | 27 | 1 | no | — |
| 1286 | C3×C4 | — | 36 | 3 | no | — |
| 1287 | C3×C4 | — | 54 | 1 | no | — |
| 1288 | C3×C4 | — | 54 | 1 | no | — |
| 1289 | C3×C4 | — | 72 | 3 | no | — |
| 1290 | C3×C4 | — | 108 | 3 | no | — |
| 1291 | C3×C4 | — | 162 | 1 | no | — |
| 1292 | Dic3 | — | 9 | 1 | no | — |
| 1293 | Dic3 | — | 36 | 1 | no | — |
| 1294 | Dic3 | — | 54 | 1 | no | — |
| 1295 | Dic3 | — | 72 | 1 | no | — |
| 1296 | Dic3 | C3⋊AGL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 1297 | C32 | — | 4 | 1 | no | — |
| 1298 | C32 | — | 4 | 1 | no | — |
| 1299 | C32 | — | 4 | 3 | no | — |
| 1300 | C32 | — | 8 | 1 | no | — |
| 1301 | C32 | — | 8 | 1 | no | — |
| 1302 | C32 | — | 8 | 1 | no | — |
| 1303 | C32 | — | 8 | 3 | no | — |
| 1304 | C32 | — | 8 | 3 | no | — |
| 1305 | C32 | — | 8 | 1 | no | — |
| 1306 | C32 | — | 8 | 1 | no | — |
| 1307 | C32 | — | 12 | 1 | no | — |
| 1308 | C32 | — | 12 | 3 | no | — |
| 1309 | C32 | — | 16 | 1 | no | — |
| 1310 | C32 | — | 16 | 1 | no | — |
| 1311 | C32 | — | 16 | 3 | no | — |
| 1312 | C32 | — | 24 | 3 | no | — |
| 1313 | C32 | — | 24 | 1 | no | — |
| 1314 | C32 | — | 24 | 3 | no | — |
| 1315 | C32 | — | 24 | 1 | no | — |
| 1316 | C32 | — | 24 | 1 | no | — |
| 1317 | C32 | — | 24 | 3 | no | — |
| 1318 | C32 | — | 48 | 3 | no | — |
| 1319 | C32 | — | 48 | 1 | no | — |
| 1320 | C32 | — | 48 | 1 | no | — |
| 1321 | C32 | — | 48 | 1 | no | — |
| 1322 | C32 | — | 48 | 3 | no | — |
| 1323 | C32 | — | 48 | 3 | no | — |
| 1324 | C32 | — | 48 | 1 | no | — |
| 1325 | C32 | — | 96 | 1 | no | — |
| 1326 | C32 | — | 96 | 3 | no | — |
| 1327 | C32 | #13166039 | 1 | 1 | yes | characteristic, complemented |
| 1328 | C32 | C4⋊AGL(2,𝔽3) | 1 | 1 | yes | characteristic, complemented |
| 1329 | C23 | — | 162 | 1 | no | — |
| 1330 | C23 | — | 486 | 1 | no | — |
| 1331 | Q8 | — | 9 | 1 | no | — |
| 1332 | Q8 | — | 27 | 1 | no | — |
| 1333 | D4 | — | 324 | 1 | no | — |
| 1334 | D4 | — | 162 | 1 | no | — |
| 1335 | D4 | — | 162 | 1 | no | — |
| 1336 | D4 | — | 972 | 1 | no | — |
| 1337 | D4 | — | 972 | 2 | no | — |
| 1338 | D4 | — | 486 | 1 | no | — |
| 1339 | D4 | — | 486 | 1 | no | — |
| 1340 | C2×C4 | — | 27 | 1 | no | — |
| 1341 | C2×C4 | — | 27 | 1 | no | — |
| 1342 | C2×C4 | — | 81 | 1 | no | — |
| 1343 | C8 | — | 162 | 1 | no | — |
| 1344 | C8 | — | 486 | 1 | no | — |
| 1345 | C2×C3 | — | 2 | 1 | no | — |
| 1346 | C2×C3 | — | 4 | 1 | no | — |
| 1347 | C2×C3 | — | 8 | 1 | no | — |
| 1348 | C2×C3 | — | 8 | 1 | no | — |
| 1349 | C2×C3 | — | 9 | 1 | no | — |
| 1350 | C2×C3 | — | 9 | 1 | no | — |
| 1351 | C2×C3 | — | 9 | 1 | no | — |
| 1352 | C2×C3 | — | 9 | 1 | no | — |
| 1353 | C2×C3 | — | 12 | 3 | no | — |
| 1354 | C2×C3 | — | 16 | 1 | no | — |
| 1355 | C2×C3 | — | 18 | 1 | no | — |
| 1356 | C2×C3 | — | 18 | 1 | no | — |
| 1357 | C2×C3 | — | 24 | 3 | no | — |
| 1358 | C2×C3 | — | 24 | 3 | no | — |
| 1359 | C2×C3 | — | 36 | 3 | no | — |
| 1360 | C2×C3 | — | 36 | 3 | no | — |
| 1361 | C2×C3 | — | 48 | 3 | no | — |
| 1362 | C2×C3 | — | 72 | 3 | no | — |
| 1363 | C2×C3 | — | 72 | 3 | no | — |
| 1364 | C2×C3 | — | 648 | 1 | no | — |
| 1365 | C2×C3 | — | 432 | 1 | no | — |
| 1366 | C2×C3 | — | 216 | 1 | no | — |
| 1367 | C2×C3 | — | 216 | 1 | no | — |
| 1368 | C2×C3 | D3×AGL(2,𝔽3) | 1 | 1 | yes | characteristic |
| 1369 | C2×C3 | C2×C3⋊AGL(2,𝔽3) | 1 | 1 | yes | characteristic |
| 1370 | D3 | — | 12 | 1 | no | — |
| 1371 | D3 | — | 12 | 1 | no | — |
| 1372 | D3 | — | 72 | 1 | no | — |
| 1373 | D3 | — | 72 | 3 | no | — |
| 1374 | D3 | — | 72 | 1 | no | — |
| 1375 | D3 | — | 648 | 3 | no | — |
| 1376 | D3 | — | 648 | 6 | no | — |
| 1377 | D3 | — | 144 | 1 | no | — |
| 1378 | D3 | — | 144 | 3 | no | — |
| 1379 | D3 | — | 432 | 1 | no | — |
| 1380 | D3 | — | 432 | 1 | no | — |
| 1381 | D3 | — | 432 | 2 | no | — |
| 1382 | D3 | — | 432 | 3 | no | — |
| 1383 | D3 | — | 432 | 6 | no | — |
| 1384 | D3 | — | 216 | 2 | no | — |
| 1385 | D3 | — | 216 | 1 | no | — |
| 1386 | D3 | — | 216 | 3 | no | — |
| 1387 | D3 | — | 216 | 6 | no | — |
| 1388 | D3 | — | 216 | 1 | no | — |
| 1389 | D3 | — | 216 | 1 | no | — |
| 1390 | D3 | — | 216 | 3 | no | — |
| 1391 | C22 | — | 9 | 1 | no | — |
| 1392 | C22 | — | 324 | 1 | no | — |
| 1393 | C22 | — | 324 | 1 | no | — |
| 1394 | C22 | — | 324 | 1 | no | — |
| 1395 | C22 | — | 108 | 1 | no | — |
| 1396 | C22 | — | 972 | 1 | no | — |
| 1397 | C22 | — | 972 | 1 | no | — |
| 1398 | C4 | — | 3 | 1 | no | — |
| 1399 | C4 | — | 27 | 1 | no | — |
| 1400 | C4 | — | 27 | 1 | no | — |
| 1401 | C4 | — | 27 | 1 | no | — |
| 1402 | C4 | — | 162 | 1 | no | — |
| 1403 | C3 | — | 2 | 1 | no | — |
| 1404 | C3 | — | 4 | 1 | no | — |
| 1405 | C3 | — | 8 | 1 | no | — |
| 1406 | C3 | — | 8 | 1 | no | — |
| 1407 | C3 | — | 12 | 3 | no | — |
| 1408 | C3 | — | 16 | 1 | no | — |
| 1409 | C3 | — | 24 | 3 | no | — |
| 1410 | C3 | — | 24 | 3 | no | — |
| 1411 | C3 | — | 48 | 3 | no | — |
| 1412 | C3 | #72259824 | 1 | 1 | yes | characteristic, complemented |
| 1413 | C3 | #72259980 | 1 | 1 | yes | characteristic, complemented |
| 1414 | C2 | — | 9 | 1 | no | — |
| 1415 | C2 | — | 9 | 1 | no | — |
| 1416 | C2 | — | 648 | 1 | no | — |
| 1417 | C2 | — | 216 | 1 | no | — |
| 1418 | C2 | D3×C3⋊AGL(2,𝔽3) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 9. C2×C3×C3⋊AGL(2,𝔽3) | C2 | semidirect |
| 11. C3×Dic3×PSU(3,𝔽2)⋊C3 | C2 | semidirect |
| 12. C3×Dic3×PSU(3,𝔽2) | D3 | semidirect |
| 13. Dic3×PSU(3,𝔽2)⋊C3 | D3 | semidirect |
| 14. C2×#72213922 | C2 | semidirect |
| 22. C2×C3⋊AGL(2,𝔽3) | D3 | semidirect |
| 26. C32×PSU(3,𝔽2)⋊C3 | D4 | semidirect |
| 88. Dic3×PSU(3,𝔽2) | C3⋊D3 | semidirect |
| 104. C32×PSU(3,𝔽2) | D12 | semidirect |
| 114. C3×PSU(3,𝔽2)⋊C3 | D12 | semidirect |
| 115. C3×PSU(3,𝔽2)⋊C3 | #67 | semidirect |
| 219. C3×C3⋊(C3⋊Dic3) | GL(2,𝔽3) | semidirect |
| 223. C33×Dic3 | GL(2,𝔽3) | semidirect |
| 311. C3×PSU(3,𝔽2) | #626 | semidirect |
| 312. C3×PSU(3,𝔽2) | C4⋊(C3⋊D3) | semidirect |
| 331. PSU(3,𝔽2)⋊C3 | #626 | semidirect |
| 563. C3⋊(C3⋊Dic3) | C3⋊GL(2,𝔽3) | semidirect |
| 579. C32×Dic3 | C3⋊GL(2,𝔽3) | semidirect |
| 627. C34 | C4⋊GL(2,𝔽3) | semidirect |
| 657. PSU(3,𝔽2) | #6292 | semidirect |
| 1005. C3×Dic3 | AGL(2,𝔽3) | semidirect |
| 1034. C33 | #10593215 | semidirect |
| 1035. C33 | C4⋊(C3⋊GL(2,𝔽3)) | semidirect |
| 1296. Dic3 | C3⋊AGL(2,𝔽3) | semidirect |
| 1327. C32 | #13166039 | semidirect |
| 1328. C32 | C4⋊AGL(2,𝔽3) | semidirect |
| 1412. C3 | #72259824 | semidirect |
| 1413. C3 | #72259980 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72260006 | 4 |
| #72259980 | 3 |
| #72259963 | 3 |
| #72259824 | 3 |
| C2×C3×C3⋊AGL(2,𝔽3) | 2 |
| C3×Dic3×PSU(3,𝔽2)⋊C3 | 2 |
| C2×#72213922 | 2 |
| #13166039 | 9 |