Finite Group DatabasebetaFinite Group DatabasebetaOrder 7776.
2402 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 2402 conjugacy classes of subgroups — too many to draw. Only its 60 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 | D3×((C3⋊S4)⋊C3)⋊C2 | — | 3 | 1 | no | maximal |
| 2 | #72222974 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72222965 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72222953 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72222951 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72222931 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72222924 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72220997 | — | 3 | 1 | no | maximal |
| 9 | #72220655 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #72219732 | — | 3 | 1 | no | maximal |
| 11 | #14518259 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | #14518198 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | (C3×(C3⋊D3)⋊C3)⋊A4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #14518118 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | #14518069 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | #14518066 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | (C3⋊S4)⋊H(3,𝔽3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | ((((C3⋊D3)⋊C3)⋊D3)⋊C3)⋊C2 | — | 4 | 1 | no | maximal |
| 19 | A4×#1113 | — | 3 | 1 | no | — |
| 20 | C3⋊D3×C3⋊S4 | — | 3 | 1 | no | — |
| 21 | C3⋊D3×C3⋊S4 | — | 3 | 1 | no | — |
| 22 | C3⋊D3×C3⋊S4 | D3 | 1 | 1 | yes | characteristic, complemented |
| 23 | C3×#89101 | — | 3 | 1 | no | — |
| 24 | C3×#89101 | — | 3 | 1 | no | — |
| 25 | C3×#89101 | — | 3 | 1 | no | — |
| 26 | C22×((C3⋊D3)⋊C3)⋊D3 | D3 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×D3×((C3⋊D3)⋊C3)⋊C2 | — | 3 | 1 | no | — |
| 28 | D3×(C3⋊D3)⋊A4 | — | 3 | 1 | no | — |
| 29 | #13049222 | — | 3 | 1 | no | — |
| 30 | #13049222 | — | 6 | 1 | no | — |
| 31 | D3×#6258 | — | 3 | 1 | no | — |
| 32 | #13049215 | — | 3 | 1 | no | — |
| 33 | ((C3⋊S4)⋊C3)⋊D3 | D3 | 1 | 1 | yes | characteristic, complemented |
| 34 | D3×(C3⋊S4)⋊C3 | — | 3 | 1 | no | — |
| 35 | C3×((C3⋊S4)⋊C3)⋊C2 | — | 3 | 1 | no | — |
| 36 | C3×((C3⋊S4)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 37 | C3×((C3⋊S4)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 38 | #13048780 | — | 3 | 1 | no | — |
| 39 | #13048736 | — | 3 | 1 | no | — |
| 40 | #13048733 | — | 3 | 1 | no | — |
| 41 | #89039⋊C3 | — | 3 | 1 | no | — |
| 42 | C3×#88676 | — | 3 | 1 | no | — |
| 43 | #67×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 44 | #13048358 | — | 3 | 1 | no | — |
| 45 | #13048344 | — | 3 | 1 | no | — |
| 46 | #13048343 | — | 3 | 1 | no | — |
| 47 | #13048341 | — | 3 | 1 | no | — |
| 48 | #13048340 | — | 3 | 1 | no | — |
| 49 | #13048329 | — | 3 | 1 | no | — |
| 50 | (((C3⋊D3)⋊C3)⋊D3)⋊C4 | — | 3 | 1 | no | — |
| 51 | (C3×A4)⋊H(3,𝔽3) | C23 | 1 | 1 | yes | characteristic, complemented |
| 52 | #11757749 | — | 4 | 1 | no | — |
| 53 | #11757731 | — | 4 | 1 | no | — |
| 54 | #11757730 | — | 4 | 1 | no | — |
| 55 | #11757730 | — | 4 | 1 | no | — |
| 56 | (((C3⋊D3)⋊C3)⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 57 | (((C3⋊D3)⋊C3)⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 58 | #11757702 | — | 4 | 1 | no | — |
| 59 | D32×S4 | — | 9 | 1 | no | — |
| 60 | D32×S4 | — | 9 | 1 | no | — |
| 61 | D32×S4 | — | 9 | 1 | no | — |
| 62 | #11724440 | — | 9 | 1 | no | — |
| 63 | D3×#3811 | — | 9 | 1 | no | — |
| 64 | C2×((C3⋊S4)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 65 | D4×((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 66 | C3×A4×C3⋊D3 | — | 3 | 1 | no | — |
| 67 | C3×A4×C3⋊D3 | — | 3 | 1 | no | — |
| 68 | C3×A4×C3⋊D3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 69 | C3⋊(C3⋊(C3⋊S4)) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 70 | C32×C3⋊S4 | — | 3 | 1 | no | — |
| 71 | C32×C3⋊S4 | — | 3 | 1 | no | — |
| 72 | C32×C3⋊S4 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 73 | #10620215 | — | 12 | 1 | no | — |
| 74 | C22×C3⋊#272 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 75 | C22×C3⋊((C3⋊D3)⋊C3) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 76 | C22×C3×(C3⋊D3)⋊C3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 77 | C2×#66432 | — | 3 | 1 | no | — |
| 78 | C2×D3×#272 | — | 3 | 1 | no | — |
| 79 | C2×((C3⋊D3)⋊C3)⋊D3 | — | 3 | 1 | no | — |
| 80 | C2×((C3⋊D3)⋊C3)⋊D3 | — | 3 | 1 | no | — |
| 81 | C2×((C3⋊D3)⋊C3)⋊D3 | — | 3 | 1 | no | — |
| 82 | C2×((C3⋊D3)⋊C3)⋊D3 | — | 3 | 1 | no | — |
| 83 | C2×((C3⋊D3)⋊C3)⋊D3 | — | 3 | 1 | no | — |
| 84 | C2×C3×((C3⋊D3)⋊C3)⋊C2 | — | 3 | 1 | no | — |
| 85 | C2×D3×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 86 | C2×D3×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 87 | C3⋊((C3⋊D3)⋊A4) | — | 2 | 1 | no | — |
| 88 | C3⋊((C3⋊D3)⋊A4) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 89 | D3×C22⋊H(3,𝔽3) | — | 3 | 1 | no | — |
| 90 | C3×(C3⋊D3)⋊A4 | — | 2 | 1 | no | — |
| 91 | C3×(C3⋊D3)⋊A4 | — | 3 | 1 | no | — |
| 92 | C3×(C3⋊D3)⋊A4 | — | 6 | 1 | no | — |
| 93 | C3⋊#6258 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 94 | C3⋊((C3⋊S4)⋊C3) | — | 3 | 1 | no | — |
| 95 | C3⋊((C3⋊S4)⋊C3) | — | 6 | 1 | no | — |
| 96 | C3×#6258 | — | 3 | 1 | no | — |
| 97 | C3×#6258 | — | 6 | 1 | no | — |
| 98 | C3×#6258 | — | 6 | 1 | no | — |
| 99 | C3×#6258 | — | 6 | 1 | no | — |
| 100 | C3×#6258 | — | 12 | 1 | no | — |
| 101 | C3×(C3⋊S4)⋊C3 | — | 2 | 1 | no | — |
| 102 | C3×(C3⋊S4)⋊C3 | — | 6 | 1 | no | — |
| 103 | C3×(C3⋊S4)⋊C3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 104 | D3×((C3⋊D3)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 105 | D3×((C3⋊D3)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 106 | D3×((C3⋊D3)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 107 | D3×((C3⋊D3)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 108 | D3×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 109 | C3×#6235 | — | 3 | 1 | no | — |
| 110 | #10619977 | — | 3 | 1 | no | — |
| 111 | #67×H(3,𝔽3) | — | 3 | 1 | no | — |
| 112 | C3×#638⋊C3 | — | 3 | 1 | no | — |
| 113 | #10619904 | — | 3 | 1 | no | — |
| 114 | #10619902 | — | 3 | 1 | no | — |
| 115 | #10619901 | — | 3 | 1 | no | — |
| 116 | #10619893 | — | 3 | 1 | no | — |
| 117 | #10619892 | — | 3 | 1 | no | — |
| 118 | #10619890 | — | 3 | 1 | no | — |
| 119 | #10619887 | — | 3 | 1 | no | — |
| 120 | #10619886 | — | 3 | 1 | no | — |
| 121 | #10619885 | — | 3 | 1 | no | — |
| 122 | C3×#6200 | — | 3 | 1 | no | — |
| 123 | #6291⋊C3 | — | 3 | 1 | no | — |
| 124 | #6290⋊C3 | — | 3 | 1 | no | — |
| 125 | C3×#6198 | — | 3 | 1 | no | — |
| 126 | #6292⋊C3 | — | 3 | 1 | no | — |
| 127 | #6292⋊C3 | — | 3 | 1 | no | — |
| 128 | C3×((C3⋊D3)⋊C3)⋊C4 | — | 3 | 1 | no | — |
| 129 | #6289⋊C3 | — | 3 | 1 | no | — |
| 130 | Dic3×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 131 | #92338 | — | 4 | 1 | no | — |
| 132 | #92301 | — | 4 | 1 | no | — |
| 133 | #92300 | — | 4 | 1 | no | — |
| 134 | #92300 | — | 4 | 1 | no | — |
| 135 | #92258 | — | 4 | 1 | no | — |
| 136 | (C3⋊D3)⋊H(3,𝔽3) | — | 4 | 1 | no | — |
| 137 | (C3⋊D3)⋊H(3,𝔽3) | — | 4 | 1 | no | — |
| 138 | C22×#1113 | — | 3 | 1 | no | — |
| 139 | C22×D3×C3⋊D3 | — | 3 | 1 | no | — |
| 140 | C2×D33 | — | 9 | 1 | no | — |
| 141 | C2×D33 | — | 9 | 1 | no | — |
| 142 | D32×A4 | — | 9 | 1 | no | — |
| 143 | D32×A4 | — | 9 | 1 | no | — |
| 144 | D32×A4 | — | 9 | 1 | no | — |
| 145 | #89101 | — | 3 | 1 | no | — |
| 146 | #89101 | — | 3 | 1 | no | — |
| 147 | #89101 | — | 3 | 1 | no | — |
| 148 | D3×C3⋊S4 | — | 3 | 1 | no | — |
| 149 | D3×C3⋊S4 | — | 9 | 1 | no | — |
| 150 | D3×C3⋊S4 | — | 9 | 1 | no | — |
| 151 | D3×C3⋊S4 | — | 9 | 1 | no | — |
| 152 | D3×C3⋊S4 | — | 9 | 1 | no | — |
| 153 | D3×C3⋊S4 | — | 9 | 1 | no | — |
| 154 | D3×C3⋊S4 | — | 18 | 1 | no | — |
| 155 | D3×C3⋊S4 | — | 18 | 1 | no | — |
| 156 | C3⋊D3×S4 | — | 9 | 1 | no | — |
| 157 | C3⋊D3×S4 | — | 9 | 1 | no | — |
| 158 | C3⋊D3×S4 | — | 9 | 1 | no | — |
| 159 | C3⋊D3×S4 | — | 18 | 1 | no | — |
| 160 | C3⋊D3×S4 | — | 18 | 1 | no | — |
| 161 | C3×D3×S4 | — | 9 | 1 | no | — |
| 162 | C3×D3×S4 | — | 9 | 1 | no | — |
| 163 | C3×D3×S4 | — | 9 | 1 | no | — |
| 164 | C3×D3×S4 | — | 9 | 1 | no | — |
| 165 | C3×D3×S4 | — | 9 | 1 | no | — |
| 166 | C3×D3×S4 | — | 9 | 1 | no | — |
| 167 | C3×D3×S4 | — | 18 | 1 | no | — |
| 168 | #89049 | — | 9 | 1 | no | — |
| 169 | #89039 | — | 3 | 1 | no | — |
| 170 | #89039 | — | 9 | 1 | no | — |
| 171 | C3⋊D3×#67 | — | 3 | 1 | no | — |
| 172 | C3⋊D3×#67 | — | 9 | 1 | no | — |
| 173 | C3⋊D3×#67 | — | 9 | 1 | no | — |
| 174 | C3×#3811 | — | 9 | 1 | no | — |
| 175 | C3×#3811 | — | 9 | 1 | no | — |
| 176 | C3×#3811 | — | 9 | 1 | no | — |
| 177 | C3×#3811 | — | 9 | 1 | no | — |
| 178 | C3×#3811 | — | 18 | 1 | no | — |
| 179 | C3×D3×#67 | — | 9 | 1 | no | — |
| 180 | C3×D3×#67 | — | 9 | 1 | no | — |
| 181 | #88955 | — | 9 | 1 | no | — |
| 182 | #88955 | — | 9 | 1 | no | — |
| 183 | #88955 | — | 9 | 1 | no | — |
| 184 | #88955 | — | 9 | 1 | no | — |
| 185 | #88954 | — | 9 | 1 | no | — |
| 186 | #88954 | — | 9 | 1 | no | — |
| 187 | #88953 | — | 9 | 1 | no | — |
| 188 | #88953 | — | 9 | 1 | no | — |
| 189 | #88953 | — | 9 | 1 | no | — |
| 190 | #88952 | — | 9 | 1 | no | — |
| 191 | D3×#626 | — | 9 | 1 | no | — |
| 192 | D3×#626 | — | 9 | 1 | no | — |
| 193 | #88949 | — | 9 | 1 | no | — |
| 194 | D3×#624 | — | 9 | 1 | no | — |
| 195 | C22×((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 196 | C22×((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 197 | C2×(C3⋊D3)⋊A4 | — | 9 | 1 | no | — |
| 198 | C2×#6258 | — | 9 | 1 | no | — |
| 199 | C2×(C3⋊S4)⋊C3 | — | 9 | 1 | no | — |
| 200 | ((C3⋊S4)⋊C3)⋊C2 | — | 3 | 1 | no | — |
| 201 | ((C3⋊S4)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 202 | ((C3⋊S4)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 203 | ((C3⋊S4)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 204 | ((C3⋊S4)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 205 | ((C3⋊S4)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 206 | ((C3⋊S4)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 207 | ((C3⋊S4)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 208 | D4×#272 | — | 9 | 1 | no | — |
| 209 | D4×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 210 | D4×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 211 | #88677 | — | 9 | 1 | no | — |
| 212 | #88677 | — | 9 | 1 | no | — |
| 213 | #88677 | — | 18 | 1 | no | — |
| 214 | #88676 | — | 3 | 1 | no | — |
| 215 | #88676 | — | 9 | 1 | no | — |
| 216 | #88676 | — | 9 | 1 | no | — |
| 217 | #88676 | — | 9 | 1 | no | — |
| 218 | #88655 | — | 9 | 1 | no | — |
| 219 | #88654 | — | 9 | 1 | no | — |
| 220 | #88654 | — | 9 | 1 | no | — |
| 221 | C4×((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 222 | C33×A4 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 223 | C3⋊D32 | — | 4 | 1 | no | — |
| 224 | C3⋊D32 | — | 12 | 1 | no | — |
| 225 | C3⋊D32 | — | 12 | 1 | no | — |
| 226 | C3×#1113 | — | 12 | 1 | no | — |
| 227 | C3×#1113 | — | 12 | 1 | no | — |
| 228 | C3×#1113 | — | 12 | 1 | no | — |
| 229 | C3×#1113 | — | 12 | 1 | no | — |
| 230 | C22×C3×H(3,𝔽3) | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 231 | C2×C3⋊#272 | — | 3 | 1 | no | — |
| 232 | C2×C3⋊#272 | — | 3 | 1 | no | — |
| 233 | C2×C3×#272 | — | 3 | 1 | no | — |
| 234 | C2×C3⋊((C3⋊D3)⋊C3) | — | 3 | 1 | no | — |
| 235 | C2×C3⋊((C3⋊D3)⋊C3) | — | 3 | 1 | no | — |
| 236 | C2×C3⋊((C3⋊D3)⋊C3) | — | 3 | 1 | no | — |
| 237 | C2×D3×H(3,𝔽3) | — | 3 | 1 | no | — |
| 238 | C2×C3×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 239 | C2×C3×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 240 | C2×C3×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 241 | C3×C22⋊H(3,𝔽3) | — | 2 | 1 | no | — |
| 242 | C3×C22⋊H(3,𝔽3) | — | 2 | 1 | no | — |
| 243 | C3×C22⋊H(3,𝔽3) | — | 2 | 1 | no | — |
| 244 | C3×C22⋊H(3,𝔽3) | — | 4 | 1 | no | — |
| 245 | C3×C22⋊H(3,𝔽3) | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 246 | #66432 | — | 6 | 1 | no | — |
| 247 | #66432 | — | 6 | 1 | no | — |
| 248 | #66432 | — | 12 | 1 | no | — |
| 249 | #66432 | — | 24 | 1 | no | — |
| 250 | D3×#272 | — | 6 | 1 | no | — |
| 251 | D3×#272 | — | 6 | 1 | no | — |
| 252 | D3×#272 | — | 12 | 1 | no | — |
| 253 | ((C3⋊D3)⋊C3)⋊D3 | — | 3 | 1 | no | — |
| 254 | ((C3⋊D3)⋊C3)⋊D3 | — | 3 | 1 | no | — |
| 255 | ((C3⋊D3)⋊C3)⋊D3 | — | 3 | 1 | no | — |
| 256 | ((C3⋊D3)⋊C3)⋊D3 | — | 4 | 1 | no | — |
| 257 | ((C3⋊D3)⋊C3)⋊D3 | — | 6 | 1 | no | — |
| 258 | ((C3⋊D3)⋊C3)⋊D3 | — | 6 | 1 | no | — |
| 259 | ((C3⋊D3)⋊C3)⋊D3 | — | 6 | 1 | no | — |
| 260 | ((C3⋊D3)⋊C3)⋊D3 | — | 12 | 1 | no | — |
| 261 | ((C3⋊D3)⋊C3)⋊D3 | S4 | 1 | 1 | yes | characteristic, complemented |
| 262 | C3×((C3⋊D3)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 263 | C3×((C3⋊D3)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 264 | C3×((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 265 | C3×((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 266 | C3×((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 267 | D3×(C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 268 | D3×(C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 269 | D3×(C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 270 | D3×(C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 271 | D3×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 272 | D3×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 273 | C3×#1084 | — | 3 | 1 | no | — |
| 274 | C3⋊((C3⋊Dic3)⋊C3) | — | 3 | 1 | no | — |
| 275 | Dic3×H(3,𝔽3) | — | 3 | 1 | no | — |
| 276 | C3×(C3⋊Dic3)⋊C3 | — | 3 | 1 | no | — |
| 277 | C2×D3×S4 | — | 27 | 1 | no | — |
| 278 | C2×D3×S4 | — | 27 | 1 | no | — |
| 279 | C2×D3×S4 | — | 27 | 1 | no | — |
| 280 | C2×#3811 | — | 27 | 1 | no | — |
| 281 | D32×D4 | — | 27 | 1 | no | — |
| 282 | D32×D4 | — | 27 | 1 | no | — |
| 283 | D32×D4 | — | 27 | 1 | no | — |
| 284 | D32×D4 | — | 27 | 1 | no | — |
| 285 | C32⋊H(3,𝔽3) | — | 4 | 1 | no | Sylow |
| 286 | C22×C3⋊(C3⋊D3) | D32 | 1 | 1 | yes | characteristic, complemented |
| 287 | C22×C3×C3⋊D3 | — | 3 | 1 | no | — |
| 288 | C22×C3×C3⋊D3 | — | 3 | 1 | no | — |
| 289 | C22×C3×C3⋊D3 | — | 3 | 1 | no | — |
| 290 | C22×C3×C3⋊D3 | — | 6 | 1 | no | — |
| 291 | C22×C3×C3⋊D3 | D32 | 1 | 1 | yes | characteristic |
| 292 | C22×C32×D3 | — | 3 | 1 | no | — |
| 293 | C2×#1113 | — | 9 | 1 | no | — |
| 294 | C2×#1113 | — | 9 | 1 | no | — |
| 295 | C2×#1113 | — | 9 | 1 | no | — |
| 296 | C2×#1113 | — | 9 | 1 | no | — |
| 297 | C2×#1113 | — | 9 | 1 | no | — |
| 298 | C2×D3×C3⋊D3 | — | 3 | 1 | no | — |
| 299 | C2×D3×C3⋊D3 | — | 3 | 1 | no | — |
| 300 | C2×D3×C3⋊D3 | — | 9 | 1 | no | — |
| 301 | C2×D3×C3⋊D3 | — | 9 | 1 | no | — |
| 302 | C2×D3×C3⋊D3 | — | 9 | 1 | no | — |
| 303 | C2×D3×C3⋊D3 | — | 9 | 1 | no | — |
| 304 | C2×D3×C3⋊D3 | — | 9 | 1 | no | — |
| 305 | C2×D3×C3⋊D3 | — | 9 | 1 | no | — |
| 306 | C2×D3×C3⋊D3 | — | 9 | 1 | no | — |
| 307 | C2×C3×D32 | — | 9 | 1 | no | — |
| 308 | C2×C3×D32 | — | 9 | 1 | no | — |
| 309 | C2×C3×D32 | — | 9 | 1 | no | — |
| 310 | C2×C3×D32 | — | 9 | 1 | no | — |
| 311 | C2×C3×D32 | — | 9 | 1 | no | — |
| 312 | C2×C3×D32 | — | 9 | 1 | no | — |
| 313 | C2×C3×D32 | — | 18 | 1 | no | — |
| 314 | A4×C3⋊D3 | — | 3 | 1 | no | — |
| 315 | A4×C3⋊D3 | — | 3 | 1 | no | — |
| 316 | A4×C3⋊D3 | — | 3 | 1 | no | — |
| 317 | A4×C3⋊D3 | — | 6 | 1 | no | — |
| 318 | A4×C3⋊D3 | — | 6 | 1 | no | — |
| 319 | C3×D3×A4 | — | 3 | 1 | no | — |
| 320 | C3×D3×A4 | — | 6 | 1 | no | — |
| 321 | C3×D3×A4 | — | 9 | 1 | no | — |
| 322 | C3×D3×A4 | — | 9 | 1 | no | — |
| 323 | C3×D3×A4 | — | 9 | 1 | no | — |
| 324 | C3×D3×A4 | — | 9 | 1 | no | — |
| 325 | C3×D3×A4 | — | 9 | 1 | no | — |
| 326 | C3×D3×A4 | — | 18 | 1 | no | — |
| 327 | C3×D3×A4 | — | 18 | 1 | no | — |
| 328 | C3⋊(C3⋊S4) | — | 3 | 1 | no | — |
| 329 | C3⋊(C3⋊S4) | — | 6 | 1 | no | — |
| 330 | C3⋊(C3⋊S4) | — | 9 | 1 | no | — |
| 331 | C3⋊(C3⋊S4) | — | 9 | 1 | no | — |
| 332 | C3⋊(C3⋊S4) | — | 18 | 1 | no | — |
| 333 | C3⋊(C3⋊S4) | — | 18 | 1 | no | — |
| 334 | C3⋊(C3⋊S4) | — | 18 | 1 | no | — |
| 335 | C3⋊(C3⋊S4) | — | 36 | 1 | no | — |
| 336 | C3×C3⋊S4 | — | 3 | 1 | no | — |
| 337 | C3×C3⋊S4 | — | 3 | 1 | no | — |
| 338 | C3×C3⋊S4 | — | 3 | 1 | no | — |
| 339 | C3×C3⋊S4 | — | 3 | 1 | no | — |
| 340 | C3×C3⋊S4 | — | 3 | 1 | no | — |
| 341 | C3×C3⋊S4 | — | 6 | 1 | no | — |
| 342 | C3×C3⋊S4 | — | 6 | 1 | no | — |
| 343 | C3×C3⋊S4 | — | 6 | 1 | no | — |
| 344 | C3×C3⋊S4 | D32 | 1 | 1 | yes | characteristic |
| 345 | C32×S4 | — | 9 | 1 | no | — |
| 346 | C32×S4 | — | 9 | 1 | no | — |
| 347 | C32×S4 | — | 9 | 1 | no | — |
| 348 | C32×S4 | — | 18 | 1 | no | — |
| 349 | C32×S4 | — | 18 | 1 | no | — |
| 350 | C32×S4 | — | 18 | 1 | no | — |
| 351 | C32×S4 | — | 36 | 1 | no | — |
| 352 | D33 | — | 18 | 1 | no | — |
| 353 | D33 | — | 18 | 1 | no | — |
| 354 | D33 | — | 18 | 1 | no | — |
| 355 | D33 | — | 18 | 1 | no | — |
| 356 | D33 | — | 18 | 1 | no | — |
| 357 | D33 | — | 18 | 1 | no | — |
| 358 | D33 | — | 18 | 1 | no | — |
| 359 | D33 | — | 18 | 1 | no | — |
| 360 | D33 | — | 36 | 1 | no | — |
| 361 | D33 | — | 36 | 1 | no | — |
| 362 | D33 | — | 36 | 1 | no | — |
| 363 | #6312 | — | 3 | 1 | no | — |
| 364 | C3×#638 | — | 3 | 1 | no | — |
| 365 | C3×#638 | — | 9 | 1 | no | — |
| 366 | C32×#67 | — | 3 | 1 | no | — |
| 367 | C32×#67 | — | 3 | 1 | no | — |
| 368 | C32×#67 | — | 6 | 1 | no | — |
| 369 | C32×#67 | — | 9 | 1 | no | — |
| 370 | C32×#67 | — | 9 | 1 | no | — |
| 371 | C32×#67 | — | 9 | 1 | no | — |
| 372 | C32×#67 | — | 18 | 1 | no | — |
| 373 | #6295 | — | 9 | 1 | no | — |
| 374 | #6295 | — | 9 | 1 | no | — |
| 375 | #6294 | — | 9 | 1 | no | — |
| 376 | #6292 | — | 3 | 1 | no | — |
| 377 | #6292 | — | 3 | 1 | no | — |
| 378 | #6292 | — | 9 | 1 | no | — |
| 379 | #6292 | — | 9 | 1 | no | — |
| 380 | #6292 | — | 9 | 1 | no | — |
| 381 | #6291 | — | 3 | 1 | no | — |
| 382 | #6291 | — | 9 | 1 | no | — |
| 383 | #6290 | — | 3 | 1 | no | — |
| 384 | #6290 | — | 9 | 1 | no | — |
| 385 | #6290 | — | 9 | 1 | no | — |
| 386 | #6289 | — | 3 | 1 | no | — |
| 387 | #6289 | — | 9 | 1 | no | — |
| 388 | Dic3×C3⋊D3 | — | 3 | 1 | no | — |
| 389 | Dic3×C3⋊D3 | — | 9 | 1 | no | — |
| 390 | Dic3×C3⋊D3 | — | 9 | 1 | no | — |
| 391 | C3×#626 | — | 9 | 1 | no | — |
| 392 | C3×#626 | — | 9 | 1 | no | — |
| 393 | C3×#626 | — | 9 | 1 | no | — |
| 394 | C3×#626 | — | 9 | 1 | no | — |
| 395 | C3×#626 | — | 9 | 1 | no | — |
| 396 | C3×#626 | — | 9 | 1 | no | — |
| 397 | C3×#626 | — | 9 | 1 | no | — |
| 398 | C3×#626 | — | 9 | 1 | no | — |
| 399 | C3×#626 | — | 9 | 1 | no | — |
| 400 | C3×#626 | — | 9 | 1 | no | — |
| 401 | C3×#626 | — | 18 | 1 | no | — |
| 402 | C3×#626 | — | 18 | 1 | no | — |
| 403 | C3×#625 | — | 9 | 1 | no | — |
| 404 | C3×#625 | — | 9 | 1 | no | — |
| 405 | C3×#624 | — | 9 | 1 | no | — |
| 406 | C3×#624 | — | 9 | 1 | no | — |
| 407 | C3×#624 | — | 9 | 1 | no | — |
| 408 | C3×#624 | — | 9 | 1 | no | — |
| 409 | C3×#624 | — | 18 | 1 | no | — |
| 410 | C3×D3×Dic3 | — | 9 | 1 | no | — |
| 411 | C3×D3×Dic3 | — | 9 | 1 | no | — |
| 412 | C22×#272 | — | 9 | 1 | no | — |
| 413 | C22×#272 | — | 9 | 1 | no | — |
| 414 | C22×#272 | — | 18 | 1 | no | — |
| 415 | C22×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 416 | C22×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 417 | C22×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 418 | C22×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 419 | C2×C22⋊H(3,𝔽3) | — | 9 | 1 | no | — |
| 420 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 3 | 1 | no | — |
| 421 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 422 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 423 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 424 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 425 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 426 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 427 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 428 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 429 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 430 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 431 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 432 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 433 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 434 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 435 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 436 | C2×((C3⋊D3)⋊C3)⋊C2 | — | 36 | 1 | no | — |
| 437 | (C3⋊D3)⋊A4 | — | 3 | 1 | no | — |
| 438 | (C3⋊D3)⋊A4 | — | 6 | 1 | no | — |
| 439 | (C3⋊D3)⋊A4 | — | 6 | 1 | no | — |
| 440 | (C3⋊D3)⋊A4 | — | 6 | 1 | no | — |
| 441 | (C3⋊D3)⋊A4 | — | 9 | 1 | no | — |
| 442 | (C3⋊D3)⋊A4 | — | 12 | 1 | no | — |
| 443 | (C3⋊D3)⋊A4 | — | 18 | 1 | no | — |
| 444 | #6258 | — | 3 | 1 | no | — |
| 445 | #6258 | — | 6 | 1 | no | — |
| 446 | #6258 | — | 6 | 1 | no | — |
| 447 | #6258 | — | 6 | 1 | no | — |
| 448 | #6258 | — | 9 | 1 | no | — |
| 449 | #6258 | — | 12 | 1 | no | — |
| 450 | #6258 | — | 18 | 1 | no | — |
| 451 | (C3⋊S4)⋊C3 | — | 3 | 1 | no | — |
| 452 | (C3⋊S4)⋊C3 | — | 6 | 1 | no | — |
| 453 | (C3⋊S4)⋊C3 | — | 6 | 1 | no | — |
| 454 | (C3⋊S4)⋊C3 | — | 9 | 1 | no | — |
| 455 | (C3⋊S4)⋊C3 | — | 12 | 1 | no | — |
| 456 | (C3⋊S4)⋊C3 | — | 18 | 1 | no | — |
| 457 | (C3⋊S4)⋊C3 | — | 18 | 1 | no | — |
| 458 | (C3⋊S4)⋊C3 | — | 36 | 1 | no | — |
| 459 | D4×H(3,𝔽3) | — | 9 | 1 | no | — |
| 460 | #6235 | — | 3 | 1 | no | — |
| 461 | #6235 | — | 9 | 1 | no | — |
| 462 | C4⋊#272 | — | 9 | 1 | no | — |
| 463 | C4×#272 | — | 9 | 1 | no | — |
| 464 | #638⋊C3 | — | 3 | 1 | no | — |
| 465 | #638⋊C3 | — | 6 | 1 | no | — |
| 466 | #638⋊C3 | — | 9 | 1 | no | — |
| 467 | #638⋊C3 | — | 9 | 1 | no | — |
| 468 | #638⋊C3 | — | 9 | 1 | no | — |
| 469 | #638⋊C3 | — | 18 | 1 | no | — |
| 470 | C4⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 471 | C4⋊((C3⋊D3)⋊C3) | — | 9 | 1 | no | — |
| 472 | C4×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 473 | C4×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 474 | #6200 | — | 3 | 1 | no | — |
| 475 | #6200 | — | 9 | 1 | no | — |
| 476 | #6200 | — | 9 | 1 | no | — |
| 477 | #6200 | — | 9 | 1 | no | — |
| 478 | #6200 | — | 18 | 1 | no | — |
| 479 | #6200 | — | 18 | 1 | no | — |
| 480 | #6199 | — | 9 | 1 | no | — |
| 481 | #6199 | — | 18 | 1 | no | — |
| 482 | #6198 | — | 3 | 1 | no | — |
| 483 | #6198 | — | 9 | 1 | no | — |
| 484 | ((C3⋊D3)⋊C3)⋊C4 | — | 3 | 1 | no | — |
| 485 | ((C3⋊D3)⋊C3)⋊C4 | — | 9 | 1 | no | — |
| 486 | C3⋊(C3⋊(C3⋊D3)) | — | 4 | 1 | no | — |
| 487 | C32×C3⋊D3 | — | 4 | 1 | no | — |
| 488 | C32×C3⋊D3 | — | 4 | 1 | no | — |
| 489 | C32×C3⋊D3 | — | 12 | 1 | no | — |
| 490 | C32×C3⋊D3 | — | 12 | 1 | no | — |
| 491 | C32×C3⋊D3 | — | 12 | 1 | no | — |
| 492 | C32×C3⋊D3 | — | 12 | 1 | no | — |
| 493 | C2×C3×H(3,𝔽3) | — | 3 | 1 | no | — |
| 494 | C3⋊#272 | — | 3 | 1 | no | — |
| 495 | C3⋊#272 | — | 4 | 1 | no | — |
| 496 | C3⋊#272 | C2×S4 | 1 | 1 | yes | characteristic, complemented |
| 497 | C3×#272 | — | 6 | 1 | no | — |
| 498 | C3×#272 | — | 12 | 1 | no | — |
| 499 | C3×#272 | — | 24 | 1 | no | — |
| 500 | C3×#272 | — | 24 | 1 | no | — |
| 501 | C3×#272 | — | 24 | 1 | no | — |
| 502 | C3×#272 | — | 48 | 1 | no | — |
| 503 | C3⋊((C3⋊D3)⋊C3) | — | 3 | 1 | no | — |
| 504 | C3⋊((C3⋊D3)⋊C3) | — | 4 | 1 | no | — |
| 505 | C3⋊((C3⋊D3)⋊C3) | — | 6 | 1 | no | — |
| 506 | C3⋊((C3⋊D3)⋊C3) | — | 8 | 1 | no | — |
| 507 | C3⋊((C3⋊D3)⋊C3) | — | 12 | 1 | no | — |
| 508 | C3⋊((C3⋊D3)⋊C3) | — | 24 | 1 | no | — |
| 509 | C3⋊((C3⋊D3)⋊C3) | C2×S4 | 1 | 1 | yes | characteristic, complemented |
| 510 | D3×H(3,𝔽3) | — | 6 | 1 | no | — |
| 511 | D3×H(3,𝔽3) | — | 12 | 1 | no | — |
| 512 | C3×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 513 | C3×(C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 514 | C3×(C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 515 | C3×(C3⋊D3)⋊C3 | — | 8 | 1 | no | — |
| 516 | C3×(C3⋊D3)⋊C3 | — | 8 | 1 | no | — |
| 517 | C3×(C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 518 | C3×(C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 519 | C3×(C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 520 | C3×(C3⋊D3)⋊C3 | C2×S4 | 1 | 1 | yes | characteristic, complemented |
| 521 | C23×C3⋊D3 | — | 9 | 1 | no | — |
| 522 | C22×D32 | — | 9 | 1 | no | — |
| 523 | C22×D32 | — | 9 | 1 | no | — |
| 524 | C22×D32 | — | 9 | 1 | no | — |
| 525 | C22×D32 | — | 27 | 1 | no | — |
| 526 | C22×D32 | — | 27 | 1 | no | — |
| 527 | C22×D32 | — | 27 | 1 | no | — |
| 528 | C22×D32 | — | 27 | 1 | no | — |
| 529 | C22×D32 | — | 27 | 1 | no | — |
| 530 | C22×D32 | — | 27 | 1 | no | — |
| 531 | C2×D3×A4 | — | 27 | 1 | no | — |
| 532 | C2×D3×A4 | — | 27 | 1 | no | — |
| 533 | C2×D3×A4 | — | 27 | 1 | no | — |
| 534 | C2×C3⋊S4 | — | 9 | 1 | no | — |
| 535 | C2×C3⋊S4 | — | 27 | 1 | no | — |
| 536 | C2×C3⋊S4 | — | 27 | 1 | no | — |
| 537 | C2×C3×S4 | — | 27 | 1 | no | — |
| 538 | C2×C3×S4 | — | 27 | 1 | no | — |
| 539 | C2×C3×S4 | — | 27 | 1 | no | — |
| 540 | C2×C3×S4 | — | 54 | 1 | no | — |
| 541 | D3×S4 | — | 9 | 1 | no | — |
| 542 | D3×S4 | — | 9 | 1 | no | — |
| 543 | D3×S4 | — | 9 | 1 | no | — |
| 544 | D3×S4 | — | 9 | 1 | no | — |
| 545 | D3×S4 | — | 9 | 1 | no | — |
| 546 | D3×S4 | — | 9 | 1 | no | — |
| 547 | D3×S4 | — | 18 | 1 | no | — |
| 548 | D3×S4 | — | 27 | 1 | no | — |
| 549 | D3×S4 | — | 27 | 1 | no | — |
| 550 | D3×S4 | — | 27 | 1 | no | — |
| 551 | D3×S4 | — | 27 | 1 | no | — |
| 552 | D3×S4 | — | 27 | 1 | no | — |
| 553 | D3×S4 | — | 27 | 1 | no | — |
| 554 | D3×S4 | — | 54 | 1 | no | — |
| 555 | D3×S4 | — | 54 | 1 | no | — |
| 556 | D3×S4 | — | 54 | 1 | no | — |
| 557 | D3×S4 | — | 54 | 1 | no | — |
| 558 | D3×S4 | — | 54 | 1 | no | — |
| 559 | D3×S4 | — | 54 | 1 | no | — |
| 560 | D3×S4 | — | 54 | 1 | no | — |
| 561 | D3×S4 | — | 54 | 1 | no | — |
| 562 | D3×S4 | — | 54 | 1 | no | — |
| 563 | D3×S4 | — | 54 | 1 | no | — |
| 564 | D3×S4 | — | 54 | 1 | no | — |
| 565 | D4×C3⋊D3 | — | 9 | 1 | no | — |
| 566 | D4×C3⋊D3 | — | 9 | 1 | no | — |
| 567 | D4×C3⋊D3 | — | 27 | 1 | no | — |
| 568 | D4×C3⋊D3 | — | 27 | 1 | no | — |
| 569 | C2×C3×#67 | — | 27 | 1 | no | — |
| 570 | C2×C3×#67 | — | 27 | 1 | no | — |
| 571 | C3×D3×D4 | — | 27 | 1 | no | — |
| 572 | C3×D3×D4 | — | 27 | 1 | no | — |
| 573 | C3×D3×D4 | — | 27 | 1 | no | — |
| 574 | C3×D3×D4 | — | 27 | 1 | no | — |
| 575 | C3×D3×D4 | — | 27 | 1 | no | — |
| 576 | C3×D3×D4 | — | 27 | 1 | no | — |
| 577 | C3×D3×D4 | — | 27 | 1 | no | — |
| 578 | C3×D3×D4 | — | 27 | 1 | no | — |
| 579 | C3×D3×D4 | — | 54 | 1 | no | — |
| 580 | #3811 | — | 9 | 1 | no | — |
| 581 | #3811 | — | 9 | 1 | no | — |
| 582 | #3811 | — | 9 | 1 | no | — |
| 583 | #3811 | — | 9 | 1 | no | — |
| 584 | #3811 | — | 18 | 1 | no | — |
| 585 | #3811 | — | 27 | 1 | no | — |
| 586 | #3811 | — | 27 | 1 | no | — |
| 587 | #3811 | — | 27 | 1 | no | — |
| 588 | #3811 | — | 27 | 1 | no | — |
| 589 | #3811 | — | 27 | 1 | no | — |
| 590 | #3811 | — | 27 | 1 | no | — |
| 591 | #3811 | — | 27 | 1 | no | — |
| 592 | #3811 | — | 27 | 1 | no | — |
| 593 | #3811 | — | 27 | 1 | no | — |
| 594 | #3811 | — | 27 | 1 | no | — |
| 595 | #3811 | — | 27 | 1 | no | — |
| 596 | #3811 | — | 27 | 1 | no | — |
| 597 | #3811 | — | 54 | 1 | no | — |
| 598 | D3×#67 | — | 9 | 1 | no | — |
| 599 | D3×#67 | — | 9 | 1 | no | — |
| 600 | D3×#67 | — | 27 | 1 | no | — |
| 601 | D3×#67 | — | 27 | 1 | no | — |
| 602 | D3×#67 | — | 27 | 1 | no | — |
| 603 | D3×#67 | — | 27 | 1 | no | — |
| 604 | D3×#67 | — | 27 | 1 | no | — |
| 605 | D3×#67 | — | 27 | 1 | no | — |
| 606 | D3×#67 | — | 27 | 1 | no | — |
| 607 | D3×#67 | — | 27 | 1 | no | — |
| 608 | D3×#67 | — | 27 | 1 | no | — |
| 609 | D3×#67 | — | 27 | 1 | no | — |
| 610 | D3×#67 | — | 27 | 1 | no | — |
| 611 | D3×#67 | — | 27 | 1 | no | — |
| 612 | D3×#67 | — | 27 | 1 | no | — |
| 613 | D3×#67 | — | 27 | 1 | no | — |
| 614 | D3×#67 | — | 54 | 1 | no | — |
| 615 | D3×#67 | — | 54 | 1 | no | — |
| 616 | C2×#626 | — | 27 | 1 | no | — |
| 617 | C2×#626 | — | 27 | 1 | no | — |
| 618 | C2×#624 | — | 27 | 1 | no | — |
| 619 | #3802 | — | 27 | 1 | no | — |
| 620 | #3802 | — | 27 | 1 | no | — |
| 621 | #3802 | — | 27 | 1 | no | — |
| 622 | #3802 | — | 27 | 1 | no | — |
| 623 | D3×D12 | — | 27 | 1 | no | — |
| 624 | D3×D12 | — | 27 | 1 | no | — |
| 625 | D3×D12 | — | 27 | 1 | no | — |
| 626 | D3×D12 | — | 27 | 1 | no | — |
| 627 | D3×D12 | — | 27 | 1 | no | — |
| 628 | D3×D12 | — | 27 | 1 | no | — |
| 629 | D3×D12 | — | 27 | 1 | no | — |
| 630 | D3×D12 | — | 27 | 1 | no | — |
| 631 | C4×D32 | — | 27 | 1 | no | — |
| 632 | C4×D32 | — | 27 | 1 | no | — |
| 633 | C4×D32 | — | 27 | 1 | no | — |
| 634 | C4×D32 | — | 27 | 1 | no | — |
| 635 | C22×C33 | — | 2 | 1 | no | — |
| 636 | C22×C33 | C2×D32 | 1 | 1 | yes | characteristic |
| 637 | C22×C33 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 638 | C2×C3⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 639 | C2×C3⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 640 | C2×C3⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 641 | C2×C3×C3⋊D3 | — | 3 | 1 | no | — |
| 642 | C2×C3×C3⋊D3 | — | 3 | 1 | no | — |
| 643 | C2×C3×C3⋊D3 | — | 3 | 1 | no | — |
| 644 | C2×C3×C3⋊D3 | — | 9 | 1 | no | — |
| 645 | C2×C3×C3⋊D3 | — | 9 | 1 | no | — |
| 646 | C2×C3×C3⋊D3 | — | 9 | 1 | no | — |
| 647 | C2×C3×C3⋊D3 | — | 9 | 1 | no | — |
| 648 | C2×C3×C3⋊D3 | — | 9 | 1 | no | — |
| 649 | C2×C3×C3⋊D3 | — | 9 | 1 | no | — |
| 650 | C2×C3×C3⋊D3 | — | 9 | 1 | no | — |
| 651 | C2×C3×C3⋊D3 | — | 18 | 1 | no | — |
| 652 | C2×C3×C3⋊D3 | — | 18 | 1 | no | — |
| 653 | C2×C32×D3 | — | 3 | 1 | no | — |
| 654 | C2×C32×D3 | — | 3 | 1 | no | — |
| 655 | C2×C32×D3 | — | 6 | 1 | no | — |
| 656 | C2×C32×D3 | — | 9 | 1 | no | — |
| 657 | C2×C32×D3 | — | 9 | 1 | no | — |
| 658 | C2×C32×D3 | — | 9 | 1 | no | — |
| 659 | C2×C32×D3 | — | 9 | 1 | no | — |
| 660 | C2×C32×D3 | — | 9 | 1 | no | — |
| 661 | C2×C32×D3 | — | 18 | 1 | no | — |
| 662 | C32×A4 | — | 2 | 1 | no | — |
| 663 | C32×A4 | — | 2 | 1 | no | — |
| 664 | C32×A4 | — | 3 | 1 | no | — |
| 665 | C32×A4 | — | 3 | 1 | no | — |
| 666 | C32×A4 | — | 4 | 1 | no | — |
| 667 | C32×A4 | — | 6 | 1 | no | — |
| 668 | C32×A4 | — | 6 | 1 | no | — |
| 669 | C32×A4 | — | 6 | 1 | no | — |
| 670 | C32×A4 | — | 12 | 1 | no | — |
| 671 | C32×A4 | C2×D32 | 1 | 1 | yes | characteristic |
| 672 | #1113 | — | 3 | 1 | no | — |
| 673 | #1113 | — | 9 | 1 | no | — |
| 674 | #1113 | — | 9 | 1 | no | — |
| 675 | #1113 | — | 9 | 1 | no | — |
| 676 | #1113 | — | 12 | 1 | no | — |
| 677 | #1113 | — | 12 | 1 | no | — |
| 678 | #1113 | — | 12 | 1 | no | — |
| 679 | #1113 | — | 18 | 1 | no | — |
| 680 | #1113 | — | 18 | 1 | no | — |
| 681 | #1113 | — | 18 | 1 | no | — |
| 682 | D3×C3⋊D3 | — | 3 | 1 | no | — |
| 683 | D3×C3⋊D3 | — | 6 | 1 | no | — |
| 684 | D3×C3⋊D3 | — | 6 | 1 | no | — |
| 685 | D3×C3⋊D3 | — | 6 | 1 | no | — |
| 686 | D3×C3⋊D3 | — | 6 | 1 | no | — |
| 687 | D3×C3⋊D3 | — | 9 | 1 | no | — |
| 688 | D3×C3⋊D3 | — | 9 | 1 | no | — |
| 689 | D3×C3⋊D3 | — | 9 | 1 | no | — |
| 690 | D3×C3⋊D3 | — | 12 | 1 | no | — |
| 691 | D3×C3⋊D3 | — | 18 | 1 | no | — |
| 692 | D3×C3⋊D3 | — | 18 | 1 | no | — |
| 693 | D3×C3⋊D3 | — | 18 | 1 | no | — |
| 694 | D3×C3⋊D3 | — | 18 | 1 | no | — |
| 695 | D3×C3⋊D3 | — | 18 | 1 | no | — |
| 696 | D3×C3⋊D3 | — | 18 | 1 | no | — |
| 697 | D3×C3⋊D3 | — | 18 | 1 | no | — |
| 698 | D3×C3⋊D3 | — | 36 | 1 | no | — |
| 699 | D3×C3⋊D3 | — | 36 | 1 | no | — |
| 700 | D3×C3⋊D3 | — | 36 | 1 | no | — |
| 701 | D3×C3⋊D3 | — | 36 | 1 | no | — |
| 702 | D3×C3⋊D3 | — | 36 | 1 | no | — |
| 703 | D3×C3⋊D3 | — | 36 | 1 | no | — |
| 704 | D3×C3⋊D3 | — | 36 | 1 | no | — |
| 705 | D3×C3⋊D3 | — | 36 | 1 | no | — |
| 706 | D3×C3⋊D3 | — | 72 | 1 | no | — |
| 707 | D3×C3⋊D3 | — | 72 | 1 | no | — |
| 708 | D3×C3⋊D3 | — | 72 | 1 | no | — |
| 709 | D3×C3⋊D3 | — | 72 | 1 | no | — |
| 710 | C3×D32 | — | 18 | 1 | no | — |
| 711 | C3×D32 | — | 18 | 1 | no | — |
| 712 | C3×D32 | — | 18 | 1 | no | — |
| 713 | C3×D32 | — | 18 | 1 | no | — |
| 714 | C3×D32 | — | 18 | 1 | no | — |
| 715 | C3×D32 | — | 18 | 1 | no | — |
| 716 | C3×D32 | — | 18 | 1 | no | — |
| 717 | C3×D32 | — | 18 | 1 | no | — |
| 718 | C3×D32 | — | 18 | 1 | no | — |
| 719 | C3×D32 | — | 18 | 1 | no | — |
| 720 | C3×D32 | — | 18 | 1 | no | — |
| 721 | C3×D32 | — | 18 | 1 | no | — |
| 722 | C3×D32 | — | 36 | 1 | no | — |
| 723 | C3×D32 | — | 36 | 1 | no | — |
| 724 | C3×D32 | — | 36 | 1 | no | — |
| 725 | C3×D32 | — | 36 | 1 | no | — |
| 726 | C3×D32 | — | 36 | 1 | no | — |
| 727 | C3×D32 | — | 36 | 1 | no | — |
| 728 | C3×D32 | — | 36 | 1 | no | — |
| 729 | C3×D32 | — | 36 | 1 | no | — |
| 730 | C3×D32 | — | 36 | 1 | no | — |
| 731 | C3×D32 | — | 36 | 1 | no | — |
| 732 | C3×D32 | — | 36 | 1 | no | — |
| 733 | C3×D32 | — | 72 | 1 | no | — |
| 734 | C3⋊(C3⋊Dic3) | — | 3 | 1 | no | — |
| 735 | C3×C3⋊Dic3 | — | 3 | 1 | no | — |
| 736 | C3×C3⋊Dic3 | — | 9 | 1 | no | — |
| 737 | C32×Dic3 | — | 3 | 1 | no | — |
| 738 | C32×Dic3 | — | 3 | 1 | no | — |
| 739 | C32×Dic3 | — | 6 | 1 | no | — |
| 740 | C32×Dic3 | — | 9 | 1 | no | — |
| 741 | C32×Dic3 | — | 9 | 1 | no | — |
| 742 | C32×Dic3 | — | 9 | 1 | no | — |
| 743 | C32×Dic3 | — | 18 | 1 | no | — |
| 744 | C22×H(3,𝔽3) | — | 3 | 1 | no | — |
| 745 | C22×H(3,𝔽3) | — | 6 | 1 | no | — |
| 746 | C22×H(3,𝔽3) | — | 9 | 1 | no | — |
| 747 | C2×#272 | — | 3 | 1 | no | — |
| 748 | C2×#272 | — | 9 | 1 | no | — |
| 749 | C2×#272 | — | 9 | 1 | no | — |
| 750 | C2×#272 | — | 18 | 1 | no | — |
| 751 | C2×#272 | — | 18 | 1 | no | — |
| 752 | C2×#272 | — | 18 | 1 | no | — |
| 753 | C2×#272 | — | 18 | 1 | no | — |
| 754 | C2×#272 | — | 18 | 1 | no | — |
| 755 | C2×#272 | — | 18 | 1 | no | — |
| 756 | C2×#272 | — | 36 | 1 | no | — |
| 757 | C2×#272 | — | 36 | 1 | no | — |
| 758 | C2×#272 | — | 36 | 1 | no | — |
| 759 | C2×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 760 | C2×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 761 | C2×(C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 762 | C2×(C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 763 | C2×(C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 764 | C2×(C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 765 | C2×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 766 | C2×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 767 | C2×(C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 768 | C2×(C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 769 | C2×(C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 770 | C2×(C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 771 | C2×(C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 772 | C2×(C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 773 | C2×(C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 774 | C2×(C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 775 | C2×(C3⋊D3)⋊C3 | — | 36 | 1 | no | — |
| 776 | C2×(C3⋊D3)⋊C3 | — | 36 | 1 | no | — |
| 777 | C22⋊H(3,𝔽3) | — | 3 | 1 | no | — |
| 778 | C22⋊H(3,𝔽3) | — | 6 | 1 | no | — |
| 779 | C22⋊H(3,𝔽3) | — | 6 | 1 | no | — |
| 780 | C22⋊H(3,𝔽3) | — | 6 | 1 | no | — |
| 781 | C22⋊H(3,𝔽3) | — | 6 | 1 | no | — |
| 782 | C22⋊H(3,𝔽3) | — | 12 | 1 | no | — |
| 783 | C22⋊H(3,𝔽3) | — | 12 | 1 | no | — |
| 784 | C22⋊H(3,𝔽3) | — | 12 | 1 | no | — |
| 785 | C22⋊H(3,𝔽3) | — | 12 | 1 | no | — |
| 786 | C22⋊H(3,𝔽3) | — | 24 | 1 | no | — |
| 787 | ((C3⋊D3)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 788 | ((C3⋊D3)⋊C3)⋊C2 | — | 6 | 1 | no | — |
| 789 | ((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 790 | ((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 791 | ((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 792 | ((C3⋊D3)⋊C3)⋊C2 | — | 9 | 1 | no | — |
| 793 | ((C3⋊D3)⋊C3)⋊C2 | — | 12 | 1 | no | — |
| 794 | ((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 795 | ((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 796 | ((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 797 | ((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 798 | ((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 799 | ((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 800 | ((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 801 | ((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 802 | ((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 803 | ((C3⋊D3)⋊C3)⋊C2 | — | 18 | 1 | no | — |
| 804 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 805 | ((C3⋊D3)⋊C3)⋊C2 | — | 24 | 1 | no | — |
| 806 | ((C3⋊D3)⋊C3)⋊C2 | — | 36 | 1 | no | — |
| 807 | ((C3⋊D3)⋊C3)⋊C2 | — | 36 | 1 | no | — |
| 808 | ((C3⋊D3)⋊C3)⋊C2 | — | 36 | 1 | no | — |
| 809 | ((C3⋊D3)⋊C3)⋊C2 | — | 36 | 1 | no | — |
| 810 | ((C3⋊D3)⋊C3)⋊C2 | — | 36 | 1 | no | — |
| 811 | ((C3⋊D3)⋊C3)⋊C2 | — | 72 | 1 | no | — |
| 812 | ((C3⋊D3)⋊C3)⋊C2 | — | 72 | 1 | no | — |
| 813 | C4×H(3,𝔽3) | — | 9 | 1 | no | — |
| 814 | #1084 | — | 3 | 1 | no | — |
| 815 | (C3⋊Dic3)⋊C3 | — | 3 | 1 | no | — |
| 816 | (C3⋊Dic3)⋊C3 | — | 6 | 1 | no | — |
| 817 | (C3⋊Dic3)⋊C3 | — | 9 | 1 | no | — |
| 818 | (C3⋊Dic3)⋊C3 | — | 18 | 1 | no | — |
| 819 | C22×S4 | — | 81 | 1 | no | — |
| 820 | C2×D3×D4 | — | 81 | 1 | no | — |
| 821 | C2×D3×D4 | — | 81 | 1 | no | — |
| 822 | C2×D3×D4 | — | 81 | 1 | no | — |
| 823 | C2×D3×D4 | — | 81 | 1 | no | — |
| 824 | C34 | — | 4 | 1 | no | — |
| 825 | C3×H(3,𝔽3) | — | 4 | 1 | no | — |
| 826 | C3×H(3,𝔽3) | — | 8 | 1 | no | — |
| 827 | C3×H(3,𝔽3) | — | 8 | 1 | no | — |
| 828 | C3×H(3,𝔽3) | — | 8 | 1 | no | — |
| 829 | C3×H(3,𝔽3) | — | 16 | 1 | no | — |
| 830 | C3×H(3,𝔽3) | C22×S4 | 1 | 1 | yes | characteristic, complemented |
| 831 | C23×C32 | — | 9 | 1 | no | — |
| 832 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 833 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 834 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 835 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 836 | C22×C3⋊D3 | — | 9 | 1 | no | — |
| 837 | C22×C3⋊D3 | — | 9 | 1 | no | — |
| 838 | C22×C3⋊D3 | — | 9 | 1 | no | — |
| 839 | C22×C3⋊D3 | — | 9 | 1 | no | — |
| 840 | C22×C3⋊D3 | — | 18 | 1 | no | — |
| 841 | C22×C3⋊D3 | — | 27 | 1 | no | — |
| 842 | C22×C3⋊D3 | — | 27 | 1 | no | — |
| 843 | C22×C3⋊D3 | — | 27 | 1 | no | — |
| 844 | C22×C3⋊D3 | — | 27 | 1 | no | — |
| 845 | C22×C3⋊D3 | — | 27 | 1 | no | — |
| 846 | C22×C3⋊D3 | — | 27 | 1 | no | — |
| 847 | C22×C3⋊D3 | ((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 848 | C22×C3×D3 | — | 3 | 1 | no | — |
| 849 | C22×C3×D3 | — | 9 | 1 | no | — |
| 850 | C22×C3×D3 | — | 9 | 1 | no | — |
| 851 | C22×C3×D3 | — | 9 | 1 | no | — |
| 852 | C22×C3×D3 | — | 9 | 1 | no | — |
| 853 | C22×C3×D3 | — | 9 | 1 | no | — |
| 854 | C22×C3×D3 | — | 9 | 1 | no | — |
| 855 | C22×C3×D3 | — | 18 | 1 | no | — |
| 856 | C22×C3×D3 | — | 18 | 1 | no | — |
| 857 | C22×C3×D3 | — | 27 | 1 | no | — |
| 858 | C22×C3×D3 | — | 27 | 1 | no | — |
| 859 | C22×C3×D3 | — | 27 | 1 | no | — |
| 860 | C22×C3×D3 | — | 27 | 1 | no | — |
| 861 | C22×C3×D3 | — | 27 | 1 | no | — |
| 862 | C22×C3×D3 | — | 27 | 1 | no | — |
| 863 | C22×C3×D3 | — | 27 | 1 | no | — |
| 864 | C22×C3×D3 | — | 27 | 1 | no | — |
| 865 | C22×C3×D3 | — | 27 | 1 | no | — |
| 866 | C22×C3×D3 | — | 27 | 1 | no | — |
| 867 | C22×C3×D3 | — | 27 | 1 | no | — |
| 868 | C22×C3×D3 | — | 54 | 1 | no | — |
| 869 | C22×C3×D3 | — | 54 | 1 | no | — |
| 870 | C2×C3×A4 | — | 9 | 1 | no | — |
| 871 | C2×C3×A4 | — | 18 | 1 | no | — |
| 872 | C2×C3×A4 | — | 27 | 1 | no | — |
| 873 | C2×C3×A4 | — | 27 | 1 | no | — |
| 874 | C2×D32 | — | 9 | 1 | no | — |
| 875 | C2×D32 | — | 9 | 1 | no | — |
| 876 | C2×D32 | — | 9 | 1 | no | — |
| 877 | C2×D32 | — | 9 | 1 | no | — |
| 878 | C2×D32 | — | 9 | 1 | no | — |
| 879 | C2×D32 | — | 9 | 1 | no | — |
| 880 | C2×D32 | — | 18 | 1 | no | — |
| 881 | C2×D32 | — | 27 | 1 | no | — |
| 882 | C2×D32 | — | 27 | 1 | no | — |
| 883 | C2×D32 | — | 27 | 1 | no | — |
| 884 | C2×D32 | — | 27 | 1 | no | — |
| 885 | C2×D32 | — | 27 | 1 | no | — |
| 886 | C2×D32 | — | 27 | 1 | no | — |
| 887 | C2×D32 | — | 27 | 1 | no | — |
| 888 | C2×D32 | — | 27 | 1 | no | — |
| 889 | C2×D32 | — | 27 | 1 | no | — |
| 890 | C2×D32 | — | 27 | 1 | no | — |
| 891 | C2×D32 | — | 27 | 1 | no | — |
| 892 | C2×D32 | — | 27 | 1 | no | — |
| 893 | C2×D32 | — | 27 | 1 | no | — |
| 894 | C2×D32 | — | 27 | 1 | no | — |
| 895 | C2×D32 | — | 27 | 1 | no | — |
| 896 | C2×D32 | — | 27 | 1 | no | — |
| 897 | C2×D32 | — | 27 | 1 | no | — |
| 898 | C2×D32 | — | 27 | 1 | no | — |
| 899 | C2×D32 | — | 27 | 1 | no | — |
| 900 | C2×D32 | — | 27 | 1 | no | — |
| 901 | C2×D32 | — | 27 | 1 | no | — |
| 902 | C2×D32 | — | 27 | 1 | no | — |
| 903 | C2×D32 | — | 27 | 1 | no | — |
| 904 | C2×D32 | — | 27 | 1 | no | — |
| 905 | C2×D32 | — | 27 | 1 | no | — |
| 906 | C2×D32 | — | 27 | 1 | no | — |
| 907 | C2×D32 | — | 54 | 1 | no | — |
| 908 | C2×D32 | — | 54 | 1 | no | — |
| 909 | C2×D32 | — | 54 | 1 | no | — |
| 910 | C2×D32 | — | 54 | 1 | no | — |
| 911 | C2×D32 | — | 54 | 1 | no | — |
| 912 | C2×D32 | — | 54 | 1 | no | — |
| 913 | C2×D32 | — | 54 | 1 | no | — |
| 914 | C2×D32 | — | 54 | 1 | no | — |
| 915 | C2×D32 | — | 54 | 1 | no | — |
| 916 | C2×D32 | — | 54 | 1 | no | — |
| 917 | C2×D32 | — | 54 | 1 | no | — |
| 918 | C2×D32 | — | 54 | 1 | no | — |
| 919 | C2×D32 | — | 54 | 1 | no | — |
| 920 | C2×D32 | — | 54 | 1 | no | — |
| 921 | C2×D32 | — | 54 | 1 | no | — |
| 922 | C2×D32 | — | 54 | 1 | no | — |
| 923 | C2×D32 | — | 54 | 1 | no | — |
| 924 | C2×D32 | — | 54 | 1 | no | — |
| 925 | C2×D32 | — | 54 | 1 | no | — |
| 926 | C2×D32 | — | 54 | 1 | no | — |
| 927 | C2×D32 | — | 54 | 1 | no | — |
| 928 | C2×D32 | — | 54 | 1 | no | — |
| 929 | C2×D32 | — | 54 | 1 | no | — |
| 930 | C2×D32 | — | 54 | 1 | no | — |
| 931 | C2×D32 | — | 54 | 1 | no | — |
| 932 | C2×D32 | — | 54 | 1 | no | — |
| 933 | C2×D32 | — | 54 | 1 | no | — |
| 934 | C2×D32 | — | 108 | 1 | no | — |
| 935 | C2×D32 | — | 108 | 1 | no | — |
| 936 | C2×D32 | — | 108 | 1 | no | — |
| 937 | D3×A4 | — | 9 | 1 | no | — |
| 938 | D3×A4 | — | 9 | 1 | no | — |
| 939 | D3×A4 | — | 9 | 1 | no | — |
| 940 | D3×A4 | — | 9 | 1 | no | — |
| 941 | D3×A4 | — | 9 | 1 | no | — |
| 942 | D3×A4 | — | 9 | 1 | no | — |
| 943 | D3×A4 | — | 18 | 1 | no | — |
| 944 | D3×A4 | — | 18 | 1 | no | — |
| 945 | D3×A4 | — | 18 | 1 | no | — |
| 946 | D3×A4 | — | 18 | 1 | no | — |
| 947 | D3×A4 | — | 18 | 1 | no | — |
| 948 | D3×A4 | — | 18 | 1 | no | — |
| 949 | D3×A4 | — | 18 | 1 | no | — |
| 950 | D3×A4 | — | 18 | 1 | no | — |
| 951 | D3×A4 | — | 18 | 1 | no | — |
| 952 | D3×A4 | — | 18 | 1 | no | — |
| 953 | D3×A4 | — | 18 | 1 | no | — |
| 954 | D3×A4 | — | 18 | 1 | no | — |
| 955 | C3⋊S4 | — | 3 | 1 | no | — |
| 956 | C3⋊S4 | — | 3 | 1 | no | — |
| 957 | C3⋊S4 | — | 6 | 1 | no | — |
| 958 | C3⋊S4 | — | 9 | 1 | no | — |
| 959 | C3⋊S4 | — | 18 | 1 | no | — |
| 960 | C3⋊S4 | — | 18 | 1 | no | — |
| 961 | C3⋊S4 | — | 27 | 1 | no | — |
| 962 | C3⋊S4 | — | 27 | 1 | no | — |
| 963 | C3⋊S4 | — | 36 | 1 | no | — |
| 964 | C3⋊S4 | — | 54 | 1 | no | — |
| 965 | C3⋊S4 | — | 54 | 1 | no | — |
| 966 | C3⋊S4 | — | 54 | 1 | no | — |
| 967 | C3⋊S4 | — | 54 | 1 | no | — |
| 968 | C3⋊S4 | — | 54 | 1 | no | — |
| 969 | C3⋊S4 | — | 54 | 1 | no | — |
| 970 | C3⋊S4 | — | 54 | 1 | no | — |
| 971 | C3⋊S4 | — | 54 | 1 | no | — |
| 972 | C3⋊S4 | — | 54 | 1 | no | — |
| 973 | C3⋊S4 | — | 108 | 1 | no | — |
| 974 | C3⋊S4 | — | 108 | 1 | no | — |
| 975 | C3⋊S4 | — | 108 | 1 | no | — |
| 976 | C3⋊S4 | — | 108 | 1 | no | — |
| 977 | C3⋊S4 | ((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 978 | C3×S4 | — | 9 | 1 | no | — |
| 979 | C3×S4 | — | 9 | 1 | no | — |
| 980 | C3×S4 | — | 9 | 1 | no | — |
| 981 | C3×S4 | — | 9 | 1 | no | — |
| 982 | C3×S4 | — | 9 | 1 | no | — |
| 983 | C3×S4 | — | 9 | 1 | no | — |
| 984 | C3×S4 | — | 18 | 1 | no | — |
| 985 | C3×S4 | — | 18 | 1 | no | — |
| 986 | C3×S4 | — | 18 | 1 | no | — |
| 987 | C3×S4 | — | 18 | 1 | no | — |
| 988 | C3×S4 | — | 18 | 1 | no | — |
| 989 | C3×S4 | — | 18 | 1 | no | — |
| 990 | C3×S4 | — | 18 | 1 | no | — |
| 991 | C3×S4 | — | 18 | 1 | no | — |
| 992 | C3×S4 | — | 18 | 1 | no | — |
| 993 | C3×S4 | — | 18 | 1 | no | — |
| 994 | C3×S4 | — | 18 | 1 | no | — |
| 995 | C3×S4 | — | 18 | 1 | no | — |
| 996 | C3×S4 | — | 18 | 1 | no | — |
| 997 | C3×S4 | — | 36 | 1 | no | — |
| 998 | C3×S4 | — | 36 | 1 | no | — |
| 999 | C3×S4 | — | 36 | 1 | no | — |
| 1000 | C3×S4 | — | 36 | 1 | no | — |
| 1001 | C3×S4 | — | 36 | 1 | no | — |
| 1002 | C3×S4 | — | 54 | 1 | no | — |
| 1003 | C32×D4 | — | 9 | 1 | no | — |
| 1004 | C32×D4 | — | 9 | 1 | no | — |
| 1005 | C32×D4 | — | 18 | 1 | no | — |
| 1006 | C32×D4 | — | 27 | 1 | no | — |
| 1007 | C32×D4 | — | 27 | 1 | no | — |
| 1008 | #638 | — | 3 | 1 | no | — |
| 1009 | #638 | — | 9 | 1 | no | — |
| 1010 | #638 | — | 9 | 1 | no | — |
| 1011 | #638 | — | 9 | 1 | no | — |
| 1012 | #638 | — | 9 | 1 | no | — |
| 1013 | #638 | — | 18 | 1 | no | — |
| 1014 | #638 | — | 27 | 1 | no | — |
| 1015 | #638 | — | 27 | 1 | no | — |
| 1016 | #638 | — | 27 | 1 | no | — |
| 1017 | #638 | — | 54 | 1 | no | — |
| 1018 | C4⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 1019 | C4⋊(C3⋊D3) | — | 9 | 1 | no | — |
| 1020 | C4⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 1021 | C4⋊(C3⋊D3) | — | 27 | 1 | no | — |
| 1022 | C4×C3⋊D3 | — | 9 | 1 | no | — |
| 1023 | C4×C3⋊D3 | — | 9 | 1 | no | — |
| 1024 | C4×C3⋊D3 | — | 27 | 1 | no | — |
| 1025 | C4×C3⋊D3 | — | 27 | 1 | no | — |
| 1026 | C3×#67 | — | 3 | 1 | no | — |
| 1027 | C3×#67 | — | 9 | 1 | no | — |
| 1028 | C3×#67 | — | 9 | 1 | no | — |
| 1029 | C3×#67 | — | 9 | 1 | no | — |
| 1030 | C3×#67 | — | 9 | 1 | no | — |
| 1031 | C3×#67 | — | 9 | 1 | no | — |
| 1032 | C3×#67 | — | 9 | 1 | no | — |
| 1033 | C3×#67 | — | 9 | 1 | no | — |
| 1034 | C3×#67 | — | 9 | 1 | no | — |
| 1035 | C3×#67 | — | 18 | 1 | no | — |
| 1036 | C3×#67 | — | 18 | 1 | no | — |
| 1037 | C3×#67 | — | 18 | 1 | no | — |
| 1038 | C3×#67 | — | 18 | 1 | no | — |
| 1039 | C3×#67 | — | 18 | 1 | no | — |
| 1040 | C3×#67 | — | 18 | 1 | no | — |
| 1041 | C3×#67 | — | 27 | 1 | no | — |
| 1042 | C3×#67 | — | 27 | 1 | no | — |
| 1043 | C3×#67 | — | 27 | 1 | no | — |
| 1044 | C3×#67 | — | 27 | 1 | no | — |
| 1045 | C3×#67 | — | 27 | 1 | no | — |
| 1046 | C3×#67 | — | 27 | 1 | no | — |
| 1047 | C3×#67 | — | 27 | 1 | no | — |
| 1048 | C3×#67 | — | 27 | 1 | no | — |
| 1049 | C3×#67 | — | 27 | 1 | no | — |
| 1050 | C3×#67 | — | 27 | 1 | no | — |
| 1051 | C3×#67 | — | 27 | 1 | no | — |
| 1052 | C3×#67 | — | 27 | 1 | no | — |
| 1053 | C3×#67 | — | 27 | 1 | no | — |
| 1054 | C3×#67 | — | 27 | 1 | no | — |
| 1055 | C3×#67 | — | 27 | 1 | no | — |
| 1056 | C3×#67 | — | 36 | 1 | no | — |
| 1057 | C3×#67 | — | 54 | 1 | no | — |
| 1058 | C3×#67 | — | 54 | 1 | no | — |
| 1059 | C2×C3×Dic3 | — | 27 | 1 | no | — |
| 1060 | C2×C3×Dic3 | — | 27 | 1 | no | — |
| 1061 | C3×D12 | — | 27 | 1 | no | — |
| 1062 | C3×D12 | — | 27 | 1 | no | — |
| 1063 | C3×D12 | — | 27 | 1 | no | — |
| 1064 | C3×D12 | — | 27 | 1 | no | — |
| 1065 | C3×D12 | — | 27 | 1 | no | — |
| 1066 | C3×D12 | — | 27 | 1 | no | — |
| 1067 | C3×D12 | — | 27 | 1 | no | — |
| 1068 | C3×D12 | — | 27 | 1 | no | — |
| 1069 | C3×D12 | — | 54 | 1 | no | — |
| 1070 | C3×C4×D3 | — | 27 | 1 | no | — |
| 1071 | C3×C4×D3 | — | 27 | 1 | no | — |
| 1072 | C3×C4×D3 | — | 27 | 1 | no | — |
| 1073 | C3×C4×D3 | — | 27 | 1 | no | — |
| 1074 | C3×C4×D3 | — | 27 | 1 | no | — |
| 1075 | C3×C4×D3 | — | 27 | 1 | no | — |
| 1076 | C3×C4×D3 | — | 27 | 1 | no | — |
| 1077 | C3×C4×D3 | — | 27 | 1 | no | — |
| 1078 | C3×C4×D3 | — | 54 | 1 | no | — |
| 1079 | #626 | — | 9 | 1 | no | — |
| 1080 | #626 | — | 9 | 1 | no | — |
| 1081 | #626 | — | 9 | 1 | no | — |
| 1082 | #626 | — | 9 | 1 | no | — |
| 1083 | #626 | — | 9 | 1 | no | — |
| 1084 | #626 | — | 9 | 1 | no | — |
| 1085 | #626 | — | 9 | 1 | no | — |
| 1086 | #626 | — | 9 | 1 | no | — |
| 1087 | #626 | — | 9 | 1 | no | — |
| 1088 | #626 | — | 9 | 1 | no | — |
| 1089 | #626 | — | 18 | 1 | no | — |
| 1090 | #626 | — | 18 | 1 | no | — |
| 1091 | #626 | — | 27 | 1 | no | — |
| 1092 | #626 | — | 27 | 1 | no | — |
| 1093 | #626 | — | 27 | 1 | no | — |
| 1094 | #626 | — | 27 | 1 | no | — |
| 1095 | #626 | — | 27 | 1 | no | — |
| 1096 | #626 | — | 27 | 1 | no | — |
| 1097 | #626 | — | 27 | 1 | no | — |
| 1098 | #626 | — | 27 | 1 | no | — |
| 1099 | #626 | — | 27 | 1 | no | — |
| 1100 | #626 | — | 27 | 1 | no | — |
| 1101 | #626 | — | 27 | 1 | no | — |
| 1102 | #626 | — | 27 | 1 | no | — |
| 1103 | #626 | — | 27 | 1 | no | — |
| 1104 | #626 | — | 27 | 1 | no | — |
| 1105 | #626 | — | 54 | 1 | no | — |
| 1106 | #626 | — | 54 | 1 | no | — |
| 1107 | #626 | — | 54 | 1 | no | — |
| 1108 | #626 | — | 54 | 1 | no | — |
| 1109 | #625 | — | 9 | 1 | no | — |
| 1110 | #625 | — | 9 | 1 | no | — |
| 1111 | #625 | — | 27 | 1 | no | — |
| 1112 | #625 | — | 27 | 1 | no | — |
| 1113 | #625 | — | 27 | 1 | no | — |
| 1114 | #625 | — | 27 | 1 | no | — |
| 1115 | #625 | — | 27 | 1 | no | — |
| 1116 | #625 | — | 27 | 1 | no | — |
| 1117 | #625 | — | 54 | 1 | no | — |
| 1118 | #625 | — | 54 | 1 | no | — |
| 1119 | #624 | — | 9 | 1 | no | — |
| 1120 | #624 | — | 9 | 1 | no | — |
| 1121 | #624 | — | 9 | 1 | no | — |
| 1122 | #624 | — | 9 | 1 | no | — |
| 1123 | #624 | — | 18 | 1 | no | — |
| 1124 | #624 | — | 27 | 1 | no | — |
| 1125 | #624 | — | 27 | 1 | no | — |
| 1126 | #624 | — | 27 | 1 | no | — |
| 1127 | #624 | — | 27 | 1 | no | — |
| 1128 | #624 | — | 54 | 1 | no | — |
| 1129 | D3×Dic3 | — | 9 | 1 | no | — |
| 1130 | D3×Dic3 | — | 9 | 1 | no | — |
| 1131 | D3×Dic3 | — | 27 | 1 | no | — |
| 1132 | D3×Dic3 | — | 27 | 1 | no | — |
| 1133 | D3×Dic3 | — | 27 | 1 | no | — |
| 1134 | D3×Dic3 | — | 27 | 1 | no | — |
| 1135 | D3×Dic3 | — | 27 | 1 | no | — |
| 1136 | D3×Dic3 | — | 27 | 1 | no | — |
| 1137 | D3×Dic3 | — | 54 | 1 | no | — |
| 1138 | D3×Dic3 | — | 54 | 1 | no | — |
| 1139 | C2×C33 | — | 3 | 1 | no | — |
| 1140 | C2×C33 | — | 3 | 1 | no | — |
| 1141 | C2×C33 | — | 6 | 1 | no | — |
| 1142 | C3⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 1143 | C3⋊(C3⋊D3) | — | 6 | 1 | no | — |
| 1144 | C3⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 1145 | C3⋊(C3⋊D3) | — | 24 | 1 | no | — |
| 1146 | C3⋊(C3⋊D3) | — | 36 | 1 | no | — |
| 1147 | C3⋊(C3⋊D3) | — | 36 | 1 | no | — |
| 1148 | C3⋊(C3⋊D3) | — | 72 | 1 | no | — |
| 1149 | C3⋊(C3⋊D3) | — | 72 | 1 | no | — |
| 1150 | C3⋊(C3⋊D3) | — | 72 | 1 | no | — |
| 1151 | C3⋊(C3⋊D3) | — | 144 | 1 | no | — |
| 1152 | C3⋊(C3⋊D3) | D3×S4 | 1 | 1 | yes | characteristic, complemented |
| 1153 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 1154 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 1155 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 1156 | C3×C3⋊D3 | — | 3 | 1 | no | — |
| 1157 | C3×C3⋊D3 | — | 4 | 1 | no | — |
| 1158 | C3×C3⋊D3 | — | 6 | 1 | no | — |
| 1159 | C3×C3⋊D3 | — | 6 | 1 | no | — |
| 1160 | C3×C3⋊D3 | — | 9 | 1 | no | — |
| 1161 | C3×C3⋊D3 | — | 9 | 1 | no | — |
| 1162 | C3×C3⋊D3 | — | 9 | 1 | no | — |
| 1163 | C3×C3⋊D3 | — | 12 | 1 | no | — |
| 1164 | C3×C3⋊D3 | — | 12 | 1 | no | — |
| 1165 | C3×C3⋊D3 | — | 12 | 1 | no | — |
| 1166 | C3×C3⋊D3 | — | 12 | 1 | no | — |
| 1167 | C3×C3⋊D3 | — | 12 | 1 | no | — |
| 1168 | C3×C3⋊D3 | — | 12 | 1 | no | — |
| 1169 | C3×C3⋊D3 | — | 12 | 1 | no | — |
| 1170 | C3×C3⋊D3 | — | 12 | 1 | no | — |
| 1171 | C3×C3⋊D3 | — | 18 | 1 | no | — |
| 1172 | C3×C3⋊D3 | — | 18 | 1 | no | — |
| 1173 | C3×C3⋊D3 | — | 24 | 1 | no | — |
| 1174 | C3×C3⋊D3 | — | 24 | 1 | no | — |
| 1175 | C3×C3⋊D3 | — | 24 | 1 | no | — |
| 1176 | C3×C3⋊D3 | — | 24 | 1 | no | — |
| 1177 | C3×C3⋊D3 | — | 24 | 1 | no | — |
| 1178 | C3×C3⋊D3 | D3×S4 | 1 | 1 | yes | characteristic |
| 1179 | C32×D3 | — | 3 | 1 | no | — |
| 1180 | C32×D3 | — | 6 | 1 | no | — |
| 1181 | C32×D3 | — | 6 | 1 | no | — |
| 1182 | C32×D3 | — | 9 | 1 | no | — |
| 1183 | C32×D3 | — | 12 | 1 | no | — |
| 1184 | C32×D3 | — | 12 | 1 | no | — |
| 1185 | C32×D3 | — | 18 | 1 | no | — |
| 1186 | C32×D3 | — | 18 | 1 | no | — |
| 1187 | C32×D3 | — | 18 | 1 | no | — |
| 1188 | C32×D3 | — | 24 | 1 | no | — |
| 1189 | C32×D3 | — | 36 | 1 | no | — |
| 1190 | C32×D3 | — | 36 | 1 | no | — |
| 1191 | C32×D3 | — | 36 | 1 | no | — |
| 1192 | C32×D3 | — | 36 | 1 | no | — |
| 1193 | C32×D3 | — | 36 | 1 | no | — |
| 1194 | C32×D3 | — | 36 | 1 | no | — |
| 1195 | C32×D3 | — | 36 | 1 | no | — |
| 1196 | C32×D3 | — | 36 | 1 | no | — |
| 1197 | C32×D3 | — | 36 | 1 | no | — |
| 1198 | C32×D3 | — | 72 | 1 | no | — |
| 1199 | C32×D3 | — | 72 | 1 | no | — |
| 1200 | C32×D3 | — | 72 | 1 | no | — |
| 1201 | C32×D3 | — | 72 | 1 | no | — |
| 1202 | C32×D3 | — | 72 | 1 | no | — |
| 1203 | C32×D3 | — | 144 | 1 | no | — |
| 1204 | C2×H(3,𝔽3) | — | 3 | 1 | no | — |
| 1205 | C2×H(3,𝔽3) | — | 6 | 1 | no | — |
| 1206 | C2×H(3,𝔽3) | — | 6 | 1 | no | — |
| 1207 | C2×H(3,𝔽3) | — | 12 | 1 | no | — |
| 1208 | C2×H(3,𝔽3) | — | 18 | 1 | no | — |
| 1209 | C2×H(3,𝔽3) | — | 36 | 1 | no | — |
| 1210 | #272 | — | 6 | 1 | no | — |
| 1211 | #272 | — | 9 | 1 | no | — |
| 1212 | #272 | — | 9 | 1 | no | — |
| 1213 | #272 | — | 12 | 1 | no | — |
| 1214 | #272 | — | 18 | 1 | no | — |
| 1215 | #272 | — | 18 | 1 | no | — |
| 1216 | #272 | — | 18 | 1 | no | — |
| 1217 | #272 | — | 24 | 1 | no | — |
| 1218 | #272 | — | 24 | 1 | no | — |
| 1219 | #272 | — | 24 | 1 | no | — |
| 1220 | #272 | — | 36 | 1 | no | — |
| 1221 | #272 | — | 36 | 1 | no | — |
| 1222 | #272 | — | 48 | 1 | no | — |
| 1223 | #272 | — | 72 | 1 | no | — |
| 1224 | (C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 1225 | (C3⋊D3)⋊C3 | — | 3 | 1 | no | — |
| 1226 | (C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 1227 | (C3⋊D3)⋊C3 | — | 6 | 1 | no | — |
| 1228 | (C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 1229 | (C3⋊D3)⋊C3 | — | 9 | 1 | no | — |
| 1230 | (C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 1231 | (C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 1232 | (C3⋊D3)⋊C3 | — | 12 | 1 | no | — |
| 1233 | (C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 1234 | (C3⋊D3)⋊C3 | — | 18 | 1 | no | — |
| 1235 | (C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 1236 | (C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 1237 | (C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 1238 | (C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 1239 | (C3⋊D3)⋊C3 | — | 24 | 1 | no | — |
| 1240 | (C3⋊D3)⋊C3 | — | 36 | 1 | no | — |
| 1241 | (C3⋊D3)⋊C3 | — | 36 | 1 | no | — |
| 1242 | (C3⋊D3)⋊C3 | — | 36 | 1 | no | — |
| 1243 | (C3⋊D3)⋊C3 | — | 48 | 1 | no | — |
| 1244 | (C3⋊D3)⋊C3 | — | 48 | 1 | no | — |
| 1245 | (C3⋊D3)⋊C3 | — | 72 | 1 | no | — |
| 1246 | (C3⋊D3)⋊C3 | — | 72 | 1 | no | — |
| 1247 | (C3⋊D3)⋊C3 | — | 72 | 1 | no | — |
| 1248 | (C3⋊D3)⋊C3 | — | 144 | 1 | no | — |
| 1249 | C23×D3 | — | 27 | 1 | no | — |
| 1250 | C23×D3 | — | 27 | 1 | no | — |
| 1251 | C23×D3 | — | 27 | 1 | no | — |
| 1252 | C23×D3 | — | 81 | 1 | no | — |
| 1253 | C23×D3 | — | 81 | 1 | no | — |
| 1254 | C23×D3 | — | 81 | 1 | no | — |
| 1255 | C23×D3 | — | 81 | 1 | no | — |
| 1256 | C23×D3 | — | 81 | 1 | no | — |
| 1257 | C22×A4 | — | 81 | 1 | no | — |
| 1258 | C2×S4 | — | 27 | 1 | no | — |
| 1259 | C2×S4 | — | 27 | 1 | no | — |
| 1260 | C2×S4 | — | 27 | 1 | no | — |
| 1261 | C2×S4 | — | 54 | 1 | no | — |
| 1262 | C2×S4 | — | 81 | 1 | no | — |
| 1263 | C2×S4 | — | 81 | 1 | no | — |
| 1264 | C2×S4 | — | 81 | 1 | no | — |
| 1265 | C2×S4 | — | 162 | 1 | no | — |
| 1266 | C2×S4 | — | 162 | 1 | no | — |
| 1267 | C2×C3×D4 | — | 81 | 1 | no | — |
| 1268 | C2×C3×D4 | — | 81 | 1 | no | — |
| 1269 | C2×C3×D4 | — | 81 | 1 | no | — |
| 1270 | C2×C3×D4 | — | 81 | 1 | no | — |
| 1271 | C2×#67 | — | 27 | 1 | no | — |
| 1272 | C2×#67 | — | 27 | 1 | no | — |
| 1273 | C2×#67 | — | 81 | 1 | no | — |
| 1274 | C2×#67 | — | 81 | 1 | no | — |
| 1275 | C2×#67 | — | 81 | 1 | no | — |
| 1276 | C2×#67 | — | 81 | 1 | no | — |
| 1277 | C2×#67 | — | 81 | 1 | no | — |
| 1278 | C2×#67 | — | 81 | 1 | no | — |
| 1279 | D3×D4 | — | 27 | 1 | no | — |
| 1280 | D3×D4 | — | 27 | 1 | no | — |
| 1281 | D3×D4 | — | 27 | 1 | no | — |
| 1282 | D3×D4 | — | 27 | 1 | no | — |
| 1283 | D3×D4 | — | 27 | 1 | no | — |
| 1284 | D3×D4 | — | 27 | 1 | no | — |
| 1285 | D3×D4 | — | 27 | 1 | no | — |
| 1286 | D3×D4 | — | 27 | 1 | no | — |
| 1287 | D3×D4 | — | 54 | 1 | no | — |
| 1288 | D3×D4 | — | 81 | 1 | no | — |
| 1289 | D3×D4 | — | 81 | 1 | no | — |
| 1290 | D3×D4 | — | 81 | 1 | no | — |
| 1291 | D3×D4 | — | 81 | 1 | no | — |
| 1292 | D3×D4 | — | 81 | 1 | no | — |
| 1293 | D3×D4 | — | 81 | 1 | no | — |
| 1294 | D3×D4 | — | 81 | 1 | no | — |
| 1295 | D3×D4 | — | 81 | 1 | no | — |
| 1296 | D3×D4 | — | 81 | 1 | no | — |
| 1297 | D3×D4 | — | 81 | 1 | no | — |
| 1298 | D3×D4 | — | 81 | 1 | no | — |
| 1299 | D3×D4 | — | 81 | 1 | no | — |
| 1300 | D3×D4 | — | 81 | 1 | no | — |
| 1301 | D3×D4 | — | 81 | 1 | no | — |
| 1302 | D3×D4 | — | 81 | 1 | no | — |
| 1303 | D3×D4 | — | 81 | 1 | no | — |
| 1304 | D3×D4 | — | 81 | 1 | no | — |
| 1305 | D3×D4 | — | 81 | 1 | no | — |
| 1306 | D3×D4 | — | 81 | 1 | no | — |
| 1307 | D3×D4 | — | 81 | 1 | no | — |
| 1308 | D3×D4 | — | 81 | 1 | no | — |
| 1309 | D3×D4 | — | 81 | 1 | no | — |
| 1310 | D3×D4 | — | 81 | 1 | no | — |
| 1311 | D3×D4 | — | 81 | 1 | no | — |
| 1312 | D3×D4 | — | 162 | 1 | no | — |
| 1313 | D3×D4 | — | 162 | 1 | no | — |
| 1314 | C2×D12 | — | 81 | 1 | no | — |
| 1315 | C2×D12 | — | 81 | 1 | no | — |
| 1316 | C2×D12 | — | 81 | 1 | no | — |
| 1317 | C2×D12 | — | 81 | 1 | no | — |
| 1318 | C2×C4×D3 | — | 81 | 1 | no | — |
| 1319 | C2×C4×D3 | — | 81 | 1 | no | — |
| 1320 | C2×C4×D3 | — | 81 | 1 | no | — |
| 1321 | C2×C4×D3 | — | 81 | 1 | no | — |
| 1322 | C22×C32 | — | 2 | 1 | no | — |
| 1323 | C22×C32 | — | 3 | 1 | no | — |
| 1324 | C22×C32 | — | 3 | 1 | no | — |
| 1325 | C22×C32 | — | 3 | 1 | no | — |
| 1326 | C22×C32 | — | 6 | 1 | no | — |
| 1327 | C22×C32 | — | 6 | 1 | no | — |
| 1328 | C22×C32 | — | 6 | 1 | no | — |
| 1329 | C22×C32 | — | 6 | 1 | no | — |
| 1330 | C22×C32 | — | 9 | 1 | no | — |
| 1331 | C22×C32 | — | 9 | 1 | no | — |
| 1332 | C22×C32 | — | 12 | 1 | no | — |
| 1333 | C22×C32 | — | 18 | 1 | no | — |
| 1334 | C22×C32 | — | 27 | 1 | no | — |
| 1335 | C22×C32 | — | 27 | 1 | no | — |
| 1336 | C22×C32 | — | 27 | 1 | no | — |
| 1337 | C22×C32 | — | 27 | 1 | no | — |
| 1338 | C22×C32 | C2×((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 1339 | C22×C32 | D33 | 1 | 1 | yes | characteristic |
| 1340 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 1341 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 1342 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 1343 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1344 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1345 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1346 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1347 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1348 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1349 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1350 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1351 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1352 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1353 | C2×C3⋊D3 | — | 9 | 1 | no | — |
| 1354 | C2×C3⋊D3 | — | 18 | 1 | no | — |
| 1355 | C2×C3⋊D3 | — | 18 | 1 | no | — |
| 1356 | C2×C3⋊D3 | — | 18 | 1 | no | — |
| 1357 | C2×C3⋊D3 | — | 18 | 1 | no | — |
| 1358 | C2×C3⋊D3 | — | 18 | 1 | no | — |
| 1359 | C2×C3⋊D3 | — | 18 | 1 | no | — |
| 1360 | C2×C3⋊D3 | — | 18 | 1 | no | — |
| 1361 | C2×C3⋊D3 | — | 18 | 1 | no | — |
| 1362 | C2×C3⋊D3 | — | 18 | 1 | no | — |
| 1363 | C2×C3⋊D3 | — | 27 | 1 | no | — |
| 1364 | C2×C3⋊D3 | — | 27 | 1 | no | — |
| 1365 | C2×C3⋊D3 | — | 27 | 1 | no | — |
| 1366 | C2×C3⋊D3 | — | 27 | 1 | no | — |
| 1367 | C2×C3⋊D3 | — | 27 | 1 | no | — |
| 1368 | C2×C3⋊D3 | — | 27 | 1 | no | — |
| 1369 | C2×C3⋊D3 | — | 36 | 1 | no | — |
| 1370 | C2×C3⋊D3 | — | 54 | 1 | no | — |
| 1371 | C2×C3⋊D3 | — | 54 | 1 | no | — |
| 1372 | C2×C3⋊D3 | — | 54 | 1 | no | — |
| 1373 | C2×C3⋊D3 | — | 54 | 1 | no | — |
| 1374 | C2×C3⋊D3 | — | 54 | 1 | no | — |
| 1375 | C2×C3⋊D3 | — | 54 | 1 | no | — |
| 1376 | C2×C3⋊D3 | — | 54 | 1 | no | — |
| 1377 | C2×C3⋊D3 | — | 54 | 1 | no | — |
| 1378 | C2×C3⋊D3 | — | 108 | 1 | no | — |
| 1379 | C2×C3⋊D3 | — | 108 | 1 | no | — |
| 1380 | C2×C3×D3 | — | 3 | 1 | no | — |
| 1381 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1382 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1383 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1384 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1385 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1386 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1387 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1388 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1389 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1390 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1391 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1392 | C2×C3×D3 | — | 9 | 1 | no | — |
| 1393 | C2×C3×D3 | — | 18 | 1 | no | — |
| 1394 | C2×C3×D3 | — | 18 | 1 | no | — |
| 1395 | C2×C3×D3 | — | 18 | 1 | no | — |
| 1396 | C2×C3×D3 | — | 18 | 1 | no | — |
| 1397 | C2×C3×D3 | — | 18 | 1 | no | — |
| 1398 | C2×C3×D3 | — | 18 | 1 | no | — |
| 1399 | C2×C3×D3 | — | 18 | 1 | no | — |
| 1400 | C2×C3×D3 | — | 18 | 1 | no | — |
| 1401 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1402 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1403 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1404 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1405 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1406 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1407 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1408 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1409 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1410 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1411 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1412 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1413 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1414 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1415 | C2×C3×D3 | — | 27 | 1 | no | — |
| 1416 | C2×C3×D3 | — | 36 | 1 | no | — |
| 1417 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1418 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1419 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1420 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1421 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1422 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1423 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1424 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1425 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1426 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1427 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1428 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1429 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1430 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1431 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1432 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1433 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1434 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1435 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1436 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1437 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1438 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1439 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1440 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1441 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1442 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1443 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1444 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1445 | C2×C3×D3 | — | 54 | 1 | no | — |
| 1446 | C2×C3×D3 | — | 108 | 1 | no | — |
| 1447 | C2×C3×D3 | — | 108 | 1 | no | — |
| 1448 | C2×C3×D3 | — | 108 | 1 | no | — |
| 1449 | C2×C3×D3 | — | 108 | 1 | no | — |
| 1450 | C2×C3×D3 | — | 108 | 1 | no | — |
| 1451 | C2×C3×D3 | — | 108 | 1 | no | — |
| 1452 | C2×C3×D3 | — | 108 | 1 | no | — |
| 1453 | C2×C3×D3 | — | 108 | 1 | no | — |
| 1454 | C2×C3×D3 | — | 108 | 1 | no | — |
| 1455 | C2×C3×D3 | — | 108 | 1 | no | — |
| 1456 | C2×C3×D3 | — | 216 | 1 | no | — |
| 1457 | C3×A4 | — | 2 | 1 | no | — |
| 1458 | C3×A4 | — | 2 | 1 | no | — |
| 1459 | C3×A4 | — | 3 | 1 | no | — |
| 1460 | C3×A4 | — | 3 | 1 | no | — |
| 1461 | C3×A4 | — | 4 | 1 | no | — |
| 1462 | C3×A4 | — | 6 | 1 | no | — |
| 1463 | C3×A4 | — | 6 | 1 | no | — |
| 1464 | C3×A4 | — | 6 | 1 | no | — |
| 1465 | C3×A4 | — | 6 | 1 | no | — |
| 1466 | C3×A4 | — | 6 | 1 | no | — |
| 1467 | C3×A4 | — | 6 | 1 | no | — |
| 1468 | C3×A4 | — | 6 | 1 | no | — |
| 1469 | C3×A4 | — | 6 | 1 | no | — |
| 1470 | C3×A4 | — | 6 | 1 | no | — |
| 1471 | C3×A4 | — | 6 | 1 | no | — |
| 1472 | C3×A4 | — | 6 | 1 | no | — |
| 1473 | C3×A4 | — | 12 | 1 | no | — |
| 1474 | C3×A4 | — | 12 | 1 | no | — |
| 1475 | C3×A4 | — | 12 | 1 | no | — |
| 1476 | C3×A4 | — | 12 | 1 | no | — |
| 1477 | C3×A4 | — | 12 | 1 | no | — |
| 1478 | C3×A4 | — | 12 | 1 | no | — |
| 1479 | C3×A4 | — | 12 | 1 | no | — |
| 1480 | C3×A4 | — | 12 | 1 | no | — |
| 1481 | C3×A4 | — | 12 | 1 | no | — |
| 1482 | C3×A4 | C2×((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 1483 | D32 | — | 9 | 1 | no | — |
| 1484 | D32 | — | 9 | 1 | no | — |
| 1485 | D32 | — | 9 | 1 | no | — |
| 1486 | D32 | — | 18 | 1 | no | — |
| 1487 | D32 | — | 18 | 1 | no | — |
| 1488 | D32 | — | 18 | 1 | no | — |
| 1489 | D32 | — | 18 | 1 | no | — |
| 1490 | D32 | — | 18 | 1 | no | — |
| 1491 | D32 | — | 18 | 1 | no | — |
| 1492 | D32 | — | 18 | 1 | no | — |
| 1493 | D32 | — | 18 | 1 | no | — |
| 1494 | D32 | — | 18 | 1 | no | — |
| 1495 | D32 | — | 18 | 1 | no | — |
| 1496 | D32 | — | 18 | 1 | no | — |
| 1497 | D32 | — | 18 | 1 | no | — |
| 1498 | D32 | — | 27 | 1 | no | — |
| 1499 | D32 | — | 27 | 1 | no | — |
| 1500 | D32 | — | 27 | 1 | no | — |
| 1501 | D32 | — | 27 | 1 | no | — |
| 1502 | D32 | — | 27 | 1 | no | — |
| 1503 | D32 | — | 27 | 1 | no | — |
| 1504 | D32 | — | 27 | 1 | no | — |
| 1505 | D32 | — | 27 | 1 | no | — |
| 1506 | D32 | — | 27 | 1 | no | — |
| 1507 | D32 | — | 27 | 1 | no | — |
| 1508 | D32 | — | 27 | 1 | no | — |
| 1509 | D32 | — | 27 | 1 | no | — |
| 1510 | D32 | — | 27 | 1 | no | — |
| 1511 | D32 | — | 36 | 1 | no | — |
| 1512 | D32 | — | 36 | 1 | no | — |
| 1513 | D32 | — | 36 | 1 | no | — |
| 1514 | D32 | — | 36 | 1 | no | — |
| 1515 | D32 | — | 36 | 1 | no | — |
| 1516 | D32 | — | 36 | 1 | no | — |
| 1517 | D32 | — | 36 | 1 | no | — |
| 1518 | D32 | — | 36 | 1 | no | — |
| 1519 | D32 | — | 54 | 1 | no | — |
| 1520 | D32 | — | 54 | 1 | no | — |
| 1521 | D32 | — | 54 | 1 | no | — |
| 1522 | D32 | — | 54 | 1 | no | — |
| 1523 | D32 | — | 54 | 1 | no | — |
| 1524 | D32 | — | 54 | 1 | no | — |
| 1525 | D32 | — | 54 | 1 | no | — |
| 1526 | D32 | — | 54 | 1 | no | — |
| 1527 | D32 | — | 54 | 1 | no | — |
| 1528 | D32 | — | 54 | 1 | no | — |
| 1529 | D32 | — | 54 | 1 | no | — |
| 1530 | D32 | — | 54 | 1 | no | — |
| 1531 | D32 | — | 54 | 1 | no | — |
| 1532 | D32 | — | 54 | 1 | no | — |
| 1533 | D32 | — | 54 | 1 | no | — |
| 1534 | D32 | — | 54 | 1 | no | — |
| 1535 | D32 | — | 54 | 1 | no | — |
| 1536 | D32 | — | 54 | 1 | no | — |
| 1537 | D32 | — | 54 | 1 | no | — |
| 1538 | D32 | — | 54 | 1 | no | — |
| 1539 | D32 | — | 54 | 1 | no | — |
| 1540 | D32 | — | 54 | 1 | no | — |
| 1541 | D32 | — | 54 | 1 | no | — |
| 1542 | D32 | — | 54 | 1 | no | — |
| 1543 | D32 | — | 54 | 1 | no | — |
| 1544 | D32 | — | 54 | 1 | no | — |
| 1545 | D32 | — | 54 | 1 | no | — |
| 1546 | D32 | — | 54 | 1 | no | — |
| 1547 | D32 | — | 54 | 1 | no | — |
| 1548 | D32 | — | 72 | 1 | no | — |
| 1549 | D32 | — | 108 | 1 | no | — |
| 1550 | D32 | — | 108 | 1 | no | — |
| 1551 | D32 | — | 108 | 1 | no | — |
| 1552 | D32 | — | 108 | 1 | no | — |
| 1553 | D32 | — | 108 | 1 | no | — |
| 1554 | D32 | — | 108 | 1 | no | — |
| 1555 | D32 | — | 108 | 1 | no | — |
| 1556 | D32 | — | 108 | 1 | no | — |
| 1557 | D32 | — | 108 | 1 | no | — |
| 1558 | D32 | — | 108 | 1 | no | — |
| 1559 | D32 | — | 108 | 1 | no | — |
| 1560 | D32 | — | 108 | 1 | no | — |
| 1561 | D32 | — | 216 | 1 | no | — |
| 1562 | D32 | — | 216 | 1 | no | — |
| 1563 | D32 | — | 216 | 1 | no | — |
| 1564 | D32 | — | 216 | 1 | no | — |
| 1565 | D32 | — | 216 | 1 | no | — |
| 1566 | D32 | — | 216 | 1 | no | — |
| 1567 | D32 | — | 216 | 1 | no | — |
| 1568 | D32 | — | 216 | 1 | no | — |
| 1569 | D32 | — | 216 | 1 | no | — |
| 1570 | D32 | — | 216 | 1 | no | — |
| 1571 | D32 | — | 216 | 1 | no | — |
| 1572 | C32×C4 | — | 9 | 1 | no | — |
| 1573 | C32×C4 | — | 9 | 1 | no | — |
| 1574 | C32×C4 | — | 18 | 1 | no | — |
| 1575 | C32×C4 | — | 27 | 1 | no | — |
| 1576 | C32×C4 | — | 27 | 1 | no | — |
| 1577 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 1578 | C3⋊Dic3 | — | 9 | 1 | no | — |
| 1579 | C3⋊Dic3 | — | 9 | 1 | no | — |
| 1580 | C3⋊Dic3 | — | 18 | 1 | no | — |
| 1581 | C3⋊Dic3 | — | 27 | 1 | no | — |
| 1582 | C3⋊Dic3 | — | 54 | 1 | no | — |
| 1583 | C3×Dic3 | — | 3 | 1 | no | — |
| 1584 | C3×Dic3 | — | 9 | 1 | no | — |
| 1585 | C3×Dic3 | — | 9 | 1 | no | — |
| 1586 | C3×Dic3 | — | 9 | 1 | no | — |
| 1587 | C3×Dic3 | — | 9 | 1 | no | — |
| 1588 | C3×Dic3 | — | 9 | 1 | no | — |
| 1589 | C3×Dic3 | — | 9 | 1 | no | — |
| 1590 | C3×Dic3 | — | 9 | 1 | no | — |
| 1591 | C3×Dic3 | — | 9 | 1 | no | — |
| 1592 | C3×Dic3 | — | 18 | 1 | no | — |
| 1593 | C3×Dic3 | — | 18 | 1 | no | — |
| 1594 | C3×Dic3 | — | 18 | 1 | no | — |
| 1595 | C3×Dic3 | — | 18 | 1 | no | — |
| 1596 | C3×Dic3 | — | 18 | 1 | no | — |
| 1597 | C3×Dic3 | — | 18 | 1 | no | — |
| 1598 | C3×Dic3 | — | 27 | 1 | no | — |
| 1599 | C3×Dic3 | — | 27 | 1 | no | — |
| 1600 | C3×Dic3 | — | 27 | 1 | no | — |
| 1601 | C3×Dic3 | — | 36 | 1 | no | — |
| 1602 | C3×Dic3 | — | 54 | 1 | no | — |
| 1603 | C22×D4 | — | 243 | 1 | no | Sylow |
| 1604 | C33 | — | 2 | 1 | no | — |
| 1605 | C33 | — | 4 | 1 | no | — |
| 1606 | C33 | — | 8 | 1 | no | — |
| 1607 | C33 | — | 8 | 1 | no | — |
| 1608 | C33 | — | 12 | 1 | no | — |
| 1609 | C33 | — | 12 | 1 | no | — |
| 1610 | C33 | — | 16 | 1 | no | — |
| 1611 | C33 | — | 24 | 1 | no | — |
| 1612 | C33 | — | 24 | 1 | no | — |
| 1613 | C33 | — | 24 | 1 | no | — |
| 1614 | C33 | — | 48 | 1 | no | — |
| 1615 | C33 | C2×D3×S4 | 1 | 1 | yes | characteristic |
| 1616 | C33 | C2×D3×S4 | 1 | 1 | yes | characteristic, complemented |
| 1617 | H(3,𝔽3) | — | 3 | 1 | no | — |
| 1618 | H(3,𝔽3) | — | 6 | 1 | no | — |
| 1619 | H(3,𝔽3) | — | 12 | 1 | no | — |
| 1620 | H(3,𝔽3) | — | 24 | 1 | no | — |
| 1621 | H(3,𝔽3) | — | 24 | 1 | no | — |
| 1622 | H(3,𝔽3) | — | 24 | 1 | no | — |
| 1623 | H(3,𝔽3) | — | 24 | 1 | no | — |
| 1624 | H(3,𝔽3) | — | 48 | 1 | no | — |
| 1625 | H(3,𝔽3) | — | 48 | 1 | no | — |
| 1626 | H(3,𝔽3) | — | 48 | 1 | no | — |
| 1627 | H(3,𝔽3) | — | 48 | 1 | no | — |
| 1628 | H(3,𝔽3) | — | 96 | 1 | no | — |
| 1629 | C23×C3 | — | 9 | 1 | no | — |
| 1630 | C23×C3 | — | 27 | 1 | no | — |
| 1631 | C23×C3 | — | 27 | 1 | no | — |
| 1632 | C23×C3 | — | 27 | 1 | no | — |
| 1633 | C23×C3 | — | 81 | 1 | no | — |
| 1634 | C23×C3 | — | 81 | 1 | no | — |
| 1635 | C23×C3 | — | 81 | 1 | no | — |
| 1636 | C23×C3 | — | 81 | 1 | no | — |
| 1637 | C22×D3 | — | 3 | 1 | no | — |
| 1638 | C22×D3 | — | 9 | 1 | no | — |
| 1639 | C22×D3 | — | 9 | 1 | no | — |
| 1640 | C22×D3 | — | 9 | 1 | no | — |
| 1641 | C22×D3 | — | 9 | 1 | no | — |
| 1642 | C22×D3 | — | 9 | 1 | no | — |
| 1643 | C22×D3 | — | 18 | 1 | no | — |
| 1644 | C22×D3 | — | 18 | 1 | no | — |
| 1645 | C22×D3 | — | 27 | 1 | no | — |
| 1646 | C22×D3 | — | 27 | 1 | no | — |
| 1647 | C22×D3 | — | 27 | 1 | no | — |
| 1648 | C22×D3 | — | 27 | 1 | no | — |
| 1649 | C22×D3 | — | 27 | 1 | no | — |
| 1650 | C22×D3 | — | 27 | 1 | no | — |
| 1651 | C22×D3 | — | 27 | 1 | no | — |
| 1652 | C22×D3 | — | 27 | 1 | no | — |
| 1653 | C22×D3 | — | 27 | 1 | no | — |
| 1654 | C22×D3 | — | 27 | 1 | no | — |
| 1655 | C22×D3 | — | 27 | 1 | no | — |
| 1656 | C22×D3 | — | 54 | 1 | no | — |
| 1657 | C22×D3 | — | 54 | 1 | no | — |
| 1658 | C22×D3 | — | 324 | 1 | no | — |
| 1659 | C22×D3 | — | 81 | 1 | no | — |
| 1660 | C22×D3 | — | 81 | 1 | no | — |
| 1661 | C22×D3 | — | 81 | 1 | no | — |
| 1662 | C22×D3 | — | 81 | 1 | no | — |
| 1663 | C22×D3 | — | 81 | 1 | no | — |
| 1664 | C22×D3 | — | 81 | 1 | no | — |
| 1665 | C22×D3 | — | 81 | 1 | no | — |
| 1666 | C22×D3 | — | 81 | 1 | no | — |
| 1667 | C22×D3 | — | 81 | 1 | no | — |
| 1668 | C22×D3 | — | 81 | 1 | no | — |
| 1669 | C22×D3 | — | 81 | 1 | no | — |
| 1670 | C22×D3 | — | 81 | 1 | no | — |
| 1671 | C22×D3 | — | 81 | 1 | no | — |
| 1672 | C22×D3 | — | 81 | 1 | no | — |
| 1673 | C22×D3 | — | 81 | 1 | no | — |
| 1674 | C22×D3 | — | 81 | 1 | no | — |
| 1675 | C22×D3 | — | 81 | 1 | no | — |
| 1676 | C22×D3 | — | 81 | 1 | no | — |
| 1677 | C22×D3 | — | 81 | 1 | no | — |
| 1678 | C22×D3 | — | 81 | 1 | no | — |
| 1679 | C22×D3 | — | 81 | 1 | no | — |
| 1680 | C22×D3 | — | 81 | 1 | no | — |
| 1681 | C22×D3 | — | 81 | 1 | no | — |
| 1682 | C22×D3 | — | 81 | 1 | no | — |
| 1683 | C22×D3 | — | 81 | 1 | no | — |
| 1684 | C22×D3 | — | 81 | 1 | no | — |
| 1685 | C22×D3 | — | 81 | 1 | no | — |
| 1686 | C22×D3 | — | 162 | 1 | no | — |
| 1687 | C22×D3 | — | 162 | 1 | no | — |
| 1688 | C22×D3 | — | 162 | 1 | no | — |
| 1689 | C22×D3 | — | 162 | 1 | no | — |
| 1690 | C22×D3 | — | 162 | 1 | no | — |
| 1691 | C22×D3 | — | 162 | 1 | no | — |
| 1692 | C22×D3 | — | 162 | 1 | no | — |
| 1693 | C22×D3 | — | 162 | 1 | no | — |
| 1694 | C22×D3 | — | 162 | 1 | no | — |
| 1695 | C22×D3 | — | 162 | 1 | no | — |
| 1696 | C22×D3 | — | 162 | 1 | no | — |
| 1697 | C22×D3 | — | 162 | 1 | no | — |
| 1698 | C22×D3 | — | 162 | 1 | no | — |
| 1699 | C22×D3 | — | 162 | 1 | no | — |
| 1700 | C22×D3 | — | 162 | 1 | no | — |
| 1701 | C22×D3 | — | 162 | 1 | no | — |
| 1702 | C22×D3 | — | 162 | 1 | no | — |
| 1703 | C22×D3 | — | 162 | 1 | no | — |
| 1704 | C22×D3 | — | 162 | 1 | no | — |
| 1705 | C22×D3 | — | 162 | 1 | no | — |
| 1706 | C22×D3 | — | 162 | 1 | no | — |
| 1707 | C22×D3 | — | 162 | 1 | no | — |
| 1708 | C2×A4 | — | 27 | 1 | no | — |
| 1709 | C2×A4 | — | 27 | 1 | no | — |
| 1710 | C2×A4 | — | 27 | 1 | no | — |
| 1711 | C2×A4 | — | 54 | 1 | no | — |
| 1712 | C2×A4 | — | 54 | 1 | no | — |
| 1713 | C2×A4 | — | 54 | 1 | no | — |
| 1714 | S4 | — | 9 | 1 | no | — |
| 1715 | S4 | — | 9 | 1 | no | — |
| 1716 | S4 | — | 9 | 1 | no | — |
| 1717 | S4 | — | 18 | 1 | no | — |
| 1718 | S4 | — | 18 | 1 | no | — |
| 1719 | S4 | — | 18 | 1 | no | — |
| 1720 | S4 | — | 36 | 1 | no | — |
| 1721 | S4 | — | 54 | 1 | no | — |
| 1722 | S4 | — | 324 | 1 | no | — |
| 1723 | S4 | — | 81 | 1 | no | — |
| 1724 | S4 | — | 162 | 1 | no | — |
| 1725 | S4 | — | 162 | 1 | no | — |
| 1726 | C3×D4 | — | 9 | 1 | no | — |
| 1727 | C3×D4 | — | 27 | 1 | no | — |
| 1728 | C3×D4 | — | 27 | 1 | no | — |
| 1729 | C3×D4 | — | 27 | 1 | no | — |
| 1730 | C3×D4 | — | 27 | 1 | no | — |
| 1731 | C3×D4 | — | 27 | 1 | no | — |
| 1732 | C3×D4 | — | 27 | 1 | no | — |
| 1733 | C3×D4 | — | 54 | 1 | no | — |
| 1734 | C3×D4 | — | 54 | 1 | no | — |
| 1735 | C3×D4 | — | 54 | 1 | no | — |
| 1736 | C3×D4 | — | 81 | 1 | no | — |
| 1737 | C3×D4 | — | 81 | 1 | no | — |
| 1738 | C3×D4 | — | 81 | 1 | no | — |
| 1739 | C3×D4 | — | 81 | 1 | no | — |
| 1740 | C3×D4 | — | 81 | 1 | no | — |
| 1741 | C3×D4 | — | 81 | 1 | no | — |
| 1742 | C3×D4 | — | 81 | 1 | no | — |
| 1743 | C3×D4 | — | 81 | 1 | no | — |
| 1744 | C3×D4 | — | 81 | 1 | no | — |
| 1745 | C2×C3×C4 | — | 81 | 1 | no | — |
| 1746 | C2×C3×C4 | — | 81 | 1 | no | — |
| 1747 | C2×C3×C4 | — | 81 | 1 | no | — |
| 1748 | C2×C3×C4 | — | 81 | 1 | no | — |
| 1749 | #67 | — | 3 | 1 | no | — |
| 1750 | #67 | — | 9 | 1 | no | — |
| 1751 | #67 | — | 9 | 1 | no | — |
| 1752 | #67 | — | 9 | 1 | no | — |
| 1753 | #67 | — | 18 | 1 | no | — |
| 1754 | #67 | — | 27 | 1 | no | — |
| 1755 | #67 | — | 27 | 1 | no | — |
| 1756 | #67 | — | 27 | 1 | no | — |
| 1757 | #67 | — | 27 | 1 | no | — |
| 1758 | #67 | — | 27 | 1 | no | — |
| 1759 | #67 | — | 27 | 1 | no | — |
| 1760 | #67 | — | 27 | 1 | no | — |
| 1761 | #67 | — | 27 | 1 | no | — |
| 1762 | #67 | — | 27 | 1 | no | — |
| 1763 | #67 | — | 27 | 1 | no | — |
| 1764 | #67 | — | 27 | 1 | no | — |
| 1765 | #67 | — | 27 | 1 | no | — |
| 1766 | #67 | — | 27 | 1 | no | — |
| 1767 | #67 | — | 27 | 1 | no | — |
| 1768 | #67 | — | 27 | 1 | no | — |
| 1769 | #67 | — | 54 | 1 | no | — |
| 1770 | #67 | — | 54 | 1 | no | — |
| 1771 | #67 | — | 81 | 1 | no | — |
| 1772 | #67 | — | 81 | 1 | no | — |
| 1773 | #67 | — | 81 | 1 | no | — |
| 1774 | #67 | — | 81 | 1 | no | — |
| 1775 | #67 | — | 81 | 1 | no | — |
| 1776 | #67 | — | 81 | 1 | no | — |
| 1777 | #67 | — | 81 | 1 | no | — |
| 1778 | #67 | — | 81 | 1 | no | — |
| 1779 | #67 | — | 81 | 1 | no | — |
| 1780 | #67 | — | 81 | 1 | no | — |
| 1781 | #67 | — | 81 | 1 | no | — |
| 1782 | #67 | — | 81 | 1 | no | — |
| 1783 | #67 | — | 81 | 1 | no | — |
| 1784 | #67 | — | 162 | 1 | no | — |
| 1785 | #67 | — | 162 | 1 | no | — |
| 1786 | #67 | — | 162 | 1 | no | — |
| 1787 | C2×Dic3 | — | 27 | 1 | no | — |
| 1788 | C2×Dic3 | — | 27 | 1 | no | — |
| 1789 | C2×Dic3 | — | 81 | 1 | no | — |
| 1790 | C2×Dic3 | — | 81 | 1 | no | — |
| 1791 | D12 | — | 27 | 1 | no | — |
| 1792 | D12 | — | 27 | 1 | no | — |
| 1793 | D12 | — | 27 | 1 | no | — |
| 1794 | D12 | — | 27 | 1 | no | — |
| 1795 | D12 | — | 27 | 1 | no | — |
| 1796 | D12 | — | 27 | 1 | no | — |
| 1797 | D12 | — | 27 | 1 | no | — |
| 1798 | D12 | — | 27 | 1 | no | — |
| 1799 | D12 | — | 54 | 1 | no | — |
| 1800 | D12 | — | 81 | 1 | no | — |
| 1801 | D12 | — | 81 | 1 | no | — |
| 1802 | D12 | — | 81 | 1 | no | — |
| 1803 | D12 | — | 81 | 1 | no | — |
| 1804 | D12 | — | 81 | 1 | no | — |
| 1805 | D12 | — | 81 | 1 | no | — |
| 1806 | D12 | — | 81 | 1 | no | — |
| 1807 | D12 | — | 81 | 1 | no | — |
| 1808 | D12 | — | 162 | 1 | no | — |
| 1809 | D12 | — | 162 | 1 | no | — |
| 1810 | C4×D3 | — | 27 | 1 | no | — |
| 1811 | C4×D3 | — | 27 | 1 | no | — |
| 1812 | C4×D3 | — | 27 | 1 | no | — |
| 1813 | C4×D3 | — | 27 | 1 | no | — |
| 1814 | C4×D3 | — | 27 | 1 | no | — |
| 1815 | C4×D3 | — | 27 | 1 | no | — |
| 1816 | C4×D3 | — | 27 | 1 | no | — |
| 1817 | C4×D3 | — | 27 | 1 | no | — |
| 1818 | C4×D3 | — | 54 | 1 | no | — |
| 1819 | C4×D3 | — | 81 | 1 | no | — |
| 1820 | C4×D3 | — | 81 | 1 | no | — |
| 1821 | C4×D3 | — | 81 | 1 | no | — |
| 1822 | C4×D3 | — | 81 | 1 | no | — |
| 1823 | C4×D3 | — | 81 | 1 | no | — |
| 1824 | C4×D3 | — | 81 | 1 | no | — |
| 1825 | C4×D3 | — | 81 | 1 | no | — |
| 1826 | C4×D3 | — | 81 | 1 | no | — |
| 1827 | C4×D3 | — | 162 | 1 | no | — |
| 1828 | C4×D3 | — | 162 | 1 | no | — |
| 1829 | C2×C32 | — | 3 | 1 | no | — |
| 1830 | C2×C32 | — | 3 | 1 | no | — |
| 1831 | C2×C32 | — | 3 | 1 | no | — |
| 1832 | C2×C32 | — | 6 | 1 | no | — |
| 1833 | C2×C32 | — | 6 | 1 | no | — |
| 1834 | C2×C32 | — | 6 | 1 | no | — |
| 1835 | C2×C32 | — | 9 | 1 | no | — |
| 1836 | C2×C32 | — | 9 | 1 | no | — |
| 1837 | C2×C32 | — | 9 | 1 | no | — |
| 1838 | C2×C32 | — | 12 | 1 | no | — |
| 1839 | C2×C32 | — | 18 | 1 | no | — |
| 1840 | C2×C32 | — | 18 | 1 | no | — |
| 1841 | C2×C32 | — | 18 | 1 | no | — |
| 1842 | C2×C32 | — | 18 | 1 | no | — |
| 1843 | C2×C32 | — | 18 | 1 | no | — |
| 1844 | C2×C32 | — | 27 | 1 | no | — |
| 1845 | C2×C32 | — | 36 | 1 | no | — |
| 1846 | C2×C32 | — | 36 | 1 | no | — |
| 1847 | C2×C32 | — | 36 | 1 | no | — |
| 1848 | C2×C32 | — | 54 | 1 | no | — |
| 1849 | C2×C32 | — | 54 | 1 | no | — |
| 1850 | C2×C32 | — | 72 | 1 | no | — |
| 1851 | C2×C32 | — | 108 | 1 | no | — |
| 1852 | C2×C32 | — | 108 | 1 | no | — |
| 1853 | C3⋊D3 | — | 3 | 1 | no | — |
| 1854 | C3⋊D3 | — | 3 | 1 | no | — |
| 1855 | C3⋊D3 | — | 3 | 1 | no | — |
| 1856 | C3⋊D3 | — | 3 | 1 | no | — |
| 1857 | C3⋊D3 | — | 4 | 1 | no | — |
| 1858 | C3⋊D3 | — | 6 | 1 | no | — |
| 1859 | C3⋊D3 | — | 6 | 1 | no | — |
| 1860 | C3⋊D3 | — | 9 | 1 | no | — |
| 1861 | C3⋊D3 | — | 9 | 1 | no | — |
| 1862 | C3⋊D3 | — | 9 | 1 | no | — |
| 1863 | C3⋊D3 | — | 9 | 1 | no | — |
| 1864 | C3⋊D3 | — | 9 | 1 | no | — |
| 1865 | C3⋊D3 | — | 9 | 1 | no | — |
| 1866 | C3⋊D3 | — | 12 | 1 | no | — |
| 1867 | C3⋊D3 | — | 12 | 1 | no | — |
| 1868 | C3⋊D3 | — | 18 | 1 | no | — |
| 1869 | C3⋊D3 | — | 18 | 1 | no | — |
| 1870 | C3⋊D3 | — | 18 | 1 | no | — |
| 1871 | C3⋊D3 | — | 18 | 1 | no | — |
| 1872 | C3⋊D3 | — | 18 | 1 | no | — |
| 1873 | C3⋊D3 | — | 24 | 1 | no | — |
| 1874 | C3⋊D3 | — | 27 | 1 | no | — |
| 1875 | C3⋊D3 | — | 36 | 1 | no | — |
| 1876 | C3⋊D3 | — | 36 | 1 | no | — |
| 1877 | C3⋊D3 | — | 54 | 1 | no | — |
| 1878 | C3⋊D3 | — | 54 | 1 | no | — |
| 1879 | C3⋊D3 | — | 72 | 1 | no | — |
| 1880 | C3⋊D3 | — | 72 | 1 | no | — |
| 1881 | C3⋊D3 | — | 108 | 1 | no | — |
| 1882 | C3⋊D3 | — | 108 | 1 | no | — |
| 1883 | C3⋊D3 | — | 108 | 1 | no | — |
| 1884 | C3⋊D3 | — | 144 | 1 | no | — |
| 1885 | C3⋊D3 | — | 432 | 1 | no | — |
| 1886 | C3⋊D3 | — | 432 | 1 | no | — |
| 1887 | C3⋊D3 | — | 432 | 1 | no | — |
| 1888 | C3⋊D3 | — | 432 | 1 | no | — |
| 1889 | C3⋊D3 | — | 216 | 1 | no | — |
| 1890 | C3⋊D3 | — | 216 | 1 | no | — |
| 1891 | C3⋊D3 | — | 216 | 1 | no | — |
| 1892 | C3⋊D3 | — | 216 | 1 | no | — |
| 1893 | C3⋊D3 | — | 216 | 1 | no | — |
| 1894 | C3⋊D3 | — | 216 | 1 | no | — |
| 1895 | C3⋊D3 | — | 216 | 1 | no | — |
| 1896 | C3⋊D3 | — | 216 | 1 | no | — |
| 1897 | C3⋊D3 | — | 216 | 1 | no | — |
| 1898 | C3⋊D3 | ((C3⋊S4)⋊C3)⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 1899 | C3×D3 | — | 3 | 1 | no | — |
| 1900 | C3×D3 | — | 6 | 1 | no | — |
| 1901 | C3×D3 | — | 9 | 1 | no | — |
| 1902 | C3×D3 | — | 9 | 1 | no | — |
| 1903 | C3×D3 | — | 9 | 1 | no | — |
| 1904 | C3×D3 | — | 9 | 1 | no | — |
| 1905 | C3×D3 | — | 9 | 1 | no | — |
| 1906 | C3×D3 | — | 9 | 1 | no | — |
| 1907 | C3×D3 | — | 9 | 1 | no | — |
| 1908 | C3×D3 | — | 9 | 1 | no | — |
| 1909 | C3×D3 | — | 18 | 1 | no | — |
| 1910 | C3×D3 | — | 18 | 1 | no | — |
| 1911 | C3×D3 | — | 18 | 1 | no | — |
| 1912 | C3×D3 | — | 18 | 1 | no | — |
| 1913 | C3×D3 | — | 18 | 1 | no | — |
| 1914 | C3×D3 | — | 18 | 1 | no | — |
| 1915 | C3×D3 | — | 18 | 1 | no | — |
| 1916 | C3×D3 | — | 18 | 1 | no | — |
| 1917 | C3×D3 | — | 18 | 1 | no | — |
| 1918 | C3×D3 | — | 18 | 1 | no | — |
| 1919 | C3×D3 | — | 18 | 1 | no | — |
| 1920 | C3×D3 | — | 27 | 1 | no | — |
| 1921 | C3×D3 | — | 27 | 1 | no | — |
| 1922 | C3×D3 | — | 27 | 1 | no | — |
| 1923 | C3×D3 | — | 27 | 1 | no | — |
| 1924 | C3×D3 | — | 27 | 1 | no | — |
| 1925 | C3×D3 | — | 27 | 1 | no | — |
| 1926 | C3×D3 | — | 27 | 1 | no | — |
| 1927 | C3×D3 | — | 36 | 1 | no | — |
| 1928 | C3×D3 | — | 36 | 1 | no | — |
| 1929 | C3×D3 | — | 36 | 1 | no | — |
| 1930 | C3×D3 | — | 36 | 1 | no | — |
| 1931 | C3×D3 | — | 36 | 1 | no | — |
| 1932 | C3×D3 | — | 36 | 1 | no | — |
| 1933 | C3×D3 | — | 36 | 1 | no | — |
| 1934 | C3×D3 | — | 36 | 1 | no | — |
| 1935 | C3×D3 | — | 36 | 1 | no | — |
| 1936 | C3×D3 | — | 36 | 1 | no | — |
| 1937 | C3×D3 | — | 36 | 1 | no | — |
| 1938 | C3×D3 | — | 36 | 1 | no | — |
| 1939 | C3×D3 | — | 36 | 1 | no | — |
| 1940 | C3×D3 | — | 36 | 1 | no | — |
| 1941 | C3×D3 | — | 36 | 1 | no | — |
| 1942 | C3×D3 | — | 36 | 1 | no | — |
| 1943 | C3×D3 | — | 36 | 1 | no | — |
| 1944 | C3×D3 | — | 36 | 1 | no | — |
| 1945 | C3×D3 | — | 54 | 1 | no | — |
| 1946 | C3×D3 | — | 54 | 1 | no | — |
| 1947 | C3×D3 | — | 54 | 1 | no | — |
| 1948 | C3×D3 | — | 54 | 1 | no | — |
| 1949 | C3×D3 | — | 54 | 1 | no | — |
| 1950 | C3×D3 | — | 54 | 1 | no | — |
| 1951 | C3×D3 | — | 54 | 1 | no | — |
| 1952 | C3×D3 | — | 54 | 1 | no | — |
| 1953 | C3×D3 | — | 72 | 1 | no | — |
| 1954 | C3×D3 | — | 72 | 1 | no | — |
| 1955 | C3×D3 | — | 72 | 1 | no | — |
| 1956 | C3×D3 | — | 72 | 1 | no | — |
| 1957 | C3×D3 | — | 72 | 1 | no | — |
| 1958 | C3×D3 | — | 72 | 1 | no | — |
| 1959 | C3×D3 | — | 72 | 1 | no | — |
| 1960 | C3×D3 | — | 72 | 1 | no | — |
| 1961 | C3×D3 | — | 72 | 1 | no | — |
| 1962 | C3×D3 | — | 72 | 1 | no | — |
| 1963 | C3×D3 | — | 72 | 1 | no | — |
| 1964 | C3×D3 | — | 72 | 1 | no | — |
| 1965 | C3×D3 | — | 72 | 1 | no | — |
| 1966 | C3×D3 | — | 72 | 1 | no | — |
| 1967 | C3×D3 | — | 72 | 1 | no | — |
| 1968 | C3×D3 | — | 72 | 1 | no | — |
| 1969 | C3×D3 | — | 72 | 1 | no | — |
| 1970 | C3×D3 | — | 72 | 1 | no | — |
| 1971 | C3×D3 | — | 72 | 1 | no | — |
| 1972 | C3×D3 | — | 72 | 1 | no | — |
| 1973 | C3×D3 | — | 72 | 1 | no | — |
| 1974 | C3×D3 | — | 72 | 1 | no | — |
| 1975 | C3×D3 | — | 72 | 1 | no | — |
| 1976 | C3×D3 | — | 72 | 1 | no | — |
| 1977 | C3×D3 | — | 72 | 1 | no | — |
| 1978 | C3×D3 | — | 72 | 1 | no | — |
| 1979 | C3×D3 | — | 108 | 1 | no | — |
| 1980 | C3×D3 | — | 108 | 1 | no | — |
| 1981 | C3×D3 | — | 144 | 1 | no | — |
| 1982 | C3×D3 | — | 144 | 1 | no | — |
| 1983 | C3×D3 | — | 144 | 1 | no | — |
| 1984 | C3×D3 | — | 144 | 1 | no | — |
| 1985 | C3×D3 | — | 144 | 1 | no | — |
| 1986 | C3×D3 | — | 216 | 1 | no | — |
| 1987 | C24 | — | 81 | 1 | no | — |
| 1988 | C24 | — | 243 | 1 | no | — |
| 1989 | C2×D4 | — | 81 | 1 | no | — |
| 1990 | C2×D4 | — | 81 | 1 | no | — |
| 1991 | C2×D4 | — | 81 | 1 | no | — |
| 1992 | C2×D4 | — | 81 | 1 | no | — |
| 1993 | C2×D4 | — | 243 | 1 | no | — |
| 1994 | C2×D4 | — | 243 | 1 | no | — |
| 1995 | C2×D4 | — | 243 | 1 | no | — |
| 1996 | C2×D4 | — | 243 | 1 | no | — |
| 1997 | C2×D4 | — | 243 | 1 | no | — |
| 1998 | C2×D4 | — | 243 | 1 | no | — |
| 1999 | C2×D4 | — | 243 | 1 | no | — |
| 2000 | C2×D4 | — | 243 | 1 | no | — |
| 2001 | C22×C4 | — | 243 | 1 | no | — |
| 2002 | C22×C3 | — | 2 | 1 | no | — |
| 2003 | C22×C3 | — | 3 | 1 | no | — |
| 2004 | C22×C3 | — | 6 | 1 | no | — |
| 2005 | C22×C3 | — | 9 | 1 | no | — |
| 2006 | C22×C3 | — | 9 | 1 | no | — |
| 2007 | C22×C3 | — | 18 | 1 | no | — |
| 2008 | C22×C3 | — | 27 | 1 | no | — |
| 2009 | C22×C3 | — | 27 | 1 | no | — |
| 2010 | C22×C3 | — | 27 | 1 | no | — |
| 2011 | C22×C3 | — | 27 | 1 | no | — |
| 2012 | C22×C3 | — | 27 | 1 | no | — |
| 2013 | C22×C3 | — | 27 | 1 | no | — |
| 2014 | C22×C3 | — | 27 | 1 | no | — |
| 2015 | C22×C3 | — | 27 | 1 | no | — |
| 2016 | C22×C3 | — | 27 | 1 | no | — |
| 2017 | C22×C3 | — | 27 | 1 | no | — |
| 2018 | C22×C3 | — | 54 | 1 | no | — |
| 2019 | C22×C3 | — | 54 | 1 | no | — |
| 2020 | C22×C3 | — | 54 | 1 | no | — |
| 2021 | C22×C3 | — | 54 | 1 | no | — |
| 2022 | C22×C3 | — | 54 | 1 | no | — |
| 2023 | C22×C3 | — | 324 | 1 | no | — |
| 2024 | C22×C3 | — | 81 | 1 | no | — |
| 2025 | C22×C3 | — | 81 | 1 | no | — |
| 2026 | C22×C3 | — | 81 | 1 | no | — |
| 2027 | C22×C3 | — | 81 | 1 | no | — |
| 2028 | C22×C3 | — | 81 | 1 | no | — |
| 2029 | C22×C3 | — | 162 | 1 | no | — |
| 2030 | C22×C3 | — | 162 | 1 | no | — |
| 2031 | C22×C3 | — | 162 | 1 | no | — |
| 2032 | C22×C3 | — | 162 | 1 | no | — |
| 2033 | C22×C3 | — | 162 | 1 | no | — |
| 2034 | C22×C3 | — | 162 | 1 | no | — |
| 2035 | C22×C3 | — | 162 | 1 | no | — |
| 2036 | C22×C3 | — | 162 | 1 | no | — |
| 2037 | C22×C3 | D3×((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic |
| 2038 | C22×C3 | D3×((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic |
| 2039 | C2×D3 | — | 3 | 1 | no | — |
| 2040 | C2×D3 | — | 9 | 1 | no | — |
| 2041 | C2×D3 | — | 9 | 1 | no | — |
| 2042 | C2×D3 | — | 9 | 1 | no | — |
| 2043 | C2×D3 | — | 9 | 1 | no | — |
| 2044 | C2×D3 | — | 9 | 1 | no | — |
| 2045 | C2×D3 | — | 18 | 1 | no | — |
| 2046 | C2×D3 | — | 27 | 1 | no | — |
| 2047 | C2×D3 | — | 27 | 1 | no | — |
| 2048 | C2×D3 | — | 27 | 1 | no | — |
| 2049 | C2×D3 | — | 27 | 1 | no | — |
| 2050 | C2×D3 | — | 27 | 1 | no | — |
| 2051 | C2×D3 | — | 27 | 1 | no | — |
| 2052 | C2×D3 | — | 27 | 1 | no | — |
| 2053 | C2×D3 | — | 27 | 1 | no | — |
| 2054 | C2×D3 | — | 27 | 1 | no | — |
| 2055 | C2×D3 | — | 27 | 1 | no | — |
| 2056 | C2×D3 | — | 27 | 1 | no | — |
| 2057 | C2×D3 | — | 27 | 1 | no | — |
| 2058 | C2×D3 | — | 27 | 1 | no | — |
| 2059 | C2×D3 | — | 27 | 1 | no | — |
| 2060 | C2×D3 | — | 27 | 1 | no | — |
| 2061 | C2×D3 | — | 27 | 1 | no | — |
| 2062 | C2×D3 | — | 27 | 1 | no | — |
| 2063 | C2×D3 | — | 27 | 1 | no | — |
| 2064 | C2×D3 | — | 54 | 1 | no | — |
| 2065 | C2×D3 | — | 54 | 1 | no | — |
| 2066 | C2×D3 | — | 54 | 1 | no | — |
| 2067 | C2×D3 | — | 54 | 1 | no | — |
| 2068 | C2×D3 | — | 54 | 1 | no | — |
| 2069 | C2×D3 | — | 54 | 1 | no | — |
| 2070 | C2×D3 | — | 54 | 1 | no | — |
| 2071 | C2×D3 | — | 54 | 1 | no | — |
| 2072 | C2×D3 | — | 54 | 1 | no | — |
| 2073 | C2×D3 | — | 54 | 1 | no | — |
| 2074 | C2×D3 | — | 54 | 1 | no | — |
| 2075 | C2×D3 | — | 54 | 1 | no | — |
| 2076 | C2×D3 | — | 54 | 1 | no | — |
| 2077 | C2×D3 | — | 54 | 1 | no | — |
| 2078 | C2×D3 | — | 54 | 1 | no | — |
| 2079 | C2×D3 | — | 54 | 1 | no | — |
| 2080 | C2×D3 | — | 54 | 1 | no | — |
| 2081 | C2×D3 | — | 54 | 1 | no | — |
| 2082 | C2×D3 | — | 54 | 1 | no | — |
| 2083 | C2×D3 | — | 54 | 1 | no | — |
| 2084 | C2×D3 | — | 54 | 1 | no | — |
| 2085 | C2×D3 | — | 54 | 1 | no | — |
| 2086 | C2×D3 | — | 54 | 1 | no | — |
| 2087 | C2×D3 | — | 54 | 1 | no | — |
| 2088 | C2×D3 | — | 54 | 1 | no | — |
| 2089 | C2×D3 | — | 54 | 1 | no | — |
| 2090 | C2×D3 | — | 54 | 1 | no | — |
| 2091 | C2×D3 | — | 54 | 1 | no | — |
| 2092 | C2×D3 | — | 54 | 1 | no | — |
| 2093 | C2×D3 | — | 324 | 1 | no | — |
| 2094 | C2×D3 | — | 324 | 1 | no | — |
| 2095 | C2×D3 | — | 324 | 1 | no | — |
| 2096 | C2×D3 | — | 324 | 1 | no | — |
| 2097 | C2×D3 | — | 324 | 1 | no | — |
| 2098 | C2×D3 | — | 324 | 1 | no | — |
| 2099 | C2×D3 | — | 324 | 1 | no | — |
| 2100 | C2×D3 | — | 81 | 1 | no | — |
| 2101 | C2×D3 | — | 81 | 1 | no | — |
| 2102 | C2×D3 | — | 81 | 1 | no | — |
| 2103 | C2×D3 | — | 81 | 1 | no | — |
| 2104 | C2×D3 | — | 81 | 1 | no | — |
| 2105 | C2×D3 | — | 81 | 1 | no | — |
| 2106 | C2×D3 | — | 81 | 1 | no | — |
| 2107 | C2×D3 | — | 81 | 1 | no | — |
| 2108 | C2×D3 | — | 81 | 1 | no | — |
| 2109 | C2×D3 | — | 81 | 1 | no | — |
| 2110 | C2×D3 | — | 81 | 1 | no | — |
| 2111 | C2×D3 | — | 81 | 1 | no | — |
| 2112 | C2×D3 | — | 81 | 1 | no | — |
| 2113 | C2×D3 | — | 81 | 1 | no | — |
| 2114 | C2×D3 | — | 81 | 1 | no | — |
| 2115 | C2×D3 | — | 81 | 1 | no | — |
| 2116 | C2×D3 | — | 108 | 1 | no | — |
| 2117 | C2×D3 | — | 108 | 1 | no | — |
| 2118 | C2×D3 | — | 108 | 1 | no | — |
| 2119 | C2×D3 | — | 108 | 1 | no | — |
| 2120 | C2×D3 | — | 108 | 1 | no | — |
| 2121 | C2×D3 | — | 108 | 1 | no | — |
| 2122 | C2×D3 | — | 108 | 1 | no | — |
| 2123 | C2×D3 | — | 648 | 1 | no | — |
| 2124 | C2×D3 | — | 648 | 1 | no | — |
| 2125 | C2×D3 | — | 162 | 1 | no | — |
| 2126 | C2×D3 | — | 162 | 1 | no | — |
| 2127 | C2×D3 | — | 162 | 1 | no | — |
| 2128 | C2×D3 | — | 162 | 1 | no | — |
| 2129 | C2×D3 | — | 162 | 1 | no | — |
| 2130 | C2×D3 | — | 162 | 1 | no | — |
| 2131 | C2×D3 | — | 162 | 1 | no | — |
| 2132 | C2×D3 | — | 162 | 1 | no | — |
| 2133 | C2×D3 | — | 162 | 1 | no | — |
| 2134 | C2×D3 | — | 162 | 1 | no | — |
| 2135 | C2×D3 | — | 162 | 1 | no | — |
| 2136 | C2×D3 | — | 162 | 1 | no | — |
| 2137 | C2×D3 | — | 162 | 1 | no | — |
| 2138 | C2×D3 | — | 162 | 1 | no | — |
| 2139 | C2×D3 | — | 162 | 1 | no | — |
| 2140 | C2×D3 | — | 162 | 1 | no | — |
| 2141 | C2×D3 | — | 162 | 1 | no | — |
| 2142 | C2×D3 | — | 162 | 1 | no | — |
| 2143 | C2×D3 | — | 162 | 1 | no | — |
| 2144 | C2×D3 | — | 162 | 1 | no | — |
| 2145 | C2×D3 | — | 162 | 1 | no | — |
| 2146 | C2×D3 | — | 162 | 1 | no | — |
| 2147 | C2×D3 | — | 162 | 1 | no | — |
| 2148 | C2×D3 | — | 162 | 1 | no | — |
| 2149 | C2×D3 | — | 162 | 1 | no | — |
| 2150 | C2×D3 | — | 162 | 1 | no | — |
| 2151 | C2×D3 | — | 162 | 1 | no | — |
| 2152 | C2×D3 | — | 162 | 1 | no | — |
| 2153 | C2×D3 | — | 162 | 1 | no | — |
| 2154 | C2×D3 | — | 162 | 1 | no | — |
| 2155 | C2×D3 | — | 162 | 1 | no | — |
| 2156 | C2×D3 | — | 162 | 1 | no | — |
| 2157 | C2×D3 | — | 216 | 1 | no | — |
| 2158 | A4 | — | 3 | 1 | no | — |
| 2159 | A4 | — | 6 | 1 | no | — |
| 2160 | A4 | — | 6 | 1 | no | — |
| 2161 | A4 | — | 12 | 1 | no | — |
| 2162 | A4 | — | 18 | 1 | no | — |
| 2163 | A4 | — | 36 | 1 | no | — |
| 2164 | C3×C4 | — | 9 | 1 | no | — |
| 2165 | C3×C4 | — | 27 | 1 | no | — |
| 2166 | C3×C4 | — | 27 | 1 | no | — |
| 2167 | C3×C4 | — | 27 | 1 | no | — |
| 2168 | C3×C4 | — | 27 | 1 | no | — |
| 2169 | C3×C4 | — | 27 | 1 | no | — |
| 2170 | C3×C4 | — | 27 | 1 | no | — |
| 2171 | C3×C4 | — | 54 | 1 | no | — |
| 2172 | C3×C4 | — | 54 | 1 | no | — |
| 2173 | C3×C4 | — | 54 | 1 | no | — |
| 2174 | C3×C4 | — | 81 | 1 | no | — |
| 2175 | Dic3 | — | 3 | 1 | no | — |
| 2176 | Dic3 | — | 9 | 1 | no | — |
| 2177 | Dic3 | — | 9 | 1 | no | — |
| 2178 | Dic3 | — | 9 | 1 | no | — |
| 2179 | Dic3 | — | 18 | 1 | no | — |
| 2180 | Dic3 | — | 27 | 1 | no | — |
| 2181 | Dic3 | — | 27 | 1 | no | — |
| 2182 | Dic3 | — | 27 | 1 | no | — |
| 2183 | Dic3 | — | 54 | 1 | no | — |
| 2184 | Dic3 | — | 81 | 1 | no | — |
| 2185 | Dic3 | — | 162 | 1 | no | — |
| 2186 | C32 | — | 2 | 1 | no | — |
| 2187 | C32 | — | 3 | 1 | no | — |
| 2188 | C32 | — | 3 | 1 | no | — |
| 2189 | C32 | — | 3 | 1 | no | — |
| 2190 | C32 | — | 4 | 1 | no | — |
| 2191 | C32 | — | 6 | 1 | no | — |
| 2192 | C32 | — | 6 | 1 | no | — |
| 2193 | C32 | — | 6 | 1 | no | — |
| 2194 | C32 | — | 6 | 1 | no | — |
| 2195 | C32 | — | 8 | 1 | no | — |
| 2196 | C32 | — | 8 | 1 | no | — |
| 2197 | C32 | — | 12 | 1 | no | — |
| 2198 | C32 | — | 12 | 1 | no | — |
| 2199 | C32 | — | 12 | 1 | no | — |
| 2200 | C32 | — | 16 | 1 | no | — |
| 2201 | C32 | — | 24 | 1 | no | — |
| 2202 | C32 | — | 24 | 1 | no | — |
| 2203 | C32 | — | 24 | 1 | no | — |
| 2204 | C32 | — | 24 | 1 | no | — |
| 2205 | C32 | — | 24 | 1 | no | — |
| 2206 | C32 | — | 24 | 1 | no | — |
| 2207 | C32 | — | 24 | 1 | no | — |
| 2208 | C32 | — | 24 | 1 | no | — |
| 2209 | C32 | — | 24 | 1 | no | — |
| 2210 | C32 | — | 24 | 1 | no | — |
| 2211 | C32 | — | 24 | 1 | no | — |
| 2212 | C32 | — | 48 | 1 | no | — |
| 2213 | C32 | — | 48 | 1 | no | — |
| 2214 | C32 | — | 48 | 1 | no | — |
| 2215 | C32 | — | 48 | 1 | no | — |
| 2216 | C32 | — | 48 | 1 | no | — |
| 2217 | C32 | — | 48 | 1 | no | — |
| 2218 | C32 | — | 48 | 1 | no | — |
| 2219 | C32 | — | 48 | 1 | no | — |
| 2220 | C32 | — | 48 | 1 | no | — |
| 2221 | C32 | C2×((C3⋊S4)⋊C3)⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 2222 | C32 | D32×S4 | 1 | 1 | yes | characteristic |
| 2223 | C23 | — | 9 | 1 | no | — |
| 2224 | C23 | — | 27 | 1 | no | — |
| 2225 | C23 | — | 27 | 1 | no | — |
| 2226 | C23 | — | 81 | 1 | no | — |
| 2227 | C23 | — | 81 | 1 | no | — |
| 2228 | C23 | — | 81 | 1 | no | — |
| 2229 | C23 | — | 81 | 1 | no | — |
| 2230 | C23 | — | 486 | 1 | no | — |
| 2231 | C23 | — | 486 | 1 | no | — |
| 2232 | C23 | — | 486 | 1 | no | — |
| 2233 | C23 | — | 486 | 1 | no | — |
| 2234 | C23 | — | 243 | 1 | no | — |
| 2235 | C23 | — | 243 | 1 | no | — |
| 2236 | C23 | — | 243 | 1 | no | — |
| 2237 | C23 | — | 243 | 1 | no | — |
| 2238 | C23 | — | 243 | 1 | no | — |
| 2239 | C23 | — | 243 | 1 | no | — |
| 2240 | D4 | — | 9 | 1 | no | — |
| 2241 | D4 | — | 27 | 1 | no | — |
| 2242 | D4 | — | 27 | 1 | no | — |
| 2243 | D4 | — | 81 | 1 | no | — |
| 2244 | D4 | — | 81 | 1 | no | — |
| 2245 | D4 | — | 81 | 1 | no | — |
| 2246 | D4 | — | 81 | 1 | no | — |
| 2247 | D4 | — | 81 | 1 | no | — |
| 2248 | D4 | — | 81 | 1 | no | — |
| 2249 | D4 | — | 81 | 1 | no | — |
| 2250 | D4 | — | 81 | 1 | no | — |
| 2251 | D4 | — | 81 | 1 | no | — |
| 2252 | D4 | — | 243 | 1 | no | — |
| 2253 | D4 | — | 243 | 1 | no | — |
| 2254 | D4 | — | 243 | 1 | no | — |
| 2255 | D4 | — | 243 | 1 | no | — |
| 2256 | C2×C4 | — | 81 | 1 | no | — |
| 2257 | C2×C4 | — | 81 | 1 | no | — |
| 2258 | C2×C4 | — | 81 | 1 | no | — |
| 2259 | C2×C4 | — | 81 | 1 | no | — |
| 2260 | C2×C4 | — | 243 | 1 | no | — |
| 2261 | C2×C4 | — | 243 | 1 | no | — |
| 2262 | C2×C3 | — | 3 | 1 | no | — |
| 2263 | C2×C3 | — | 3 | 1 | no | — |
| 2264 | C2×C3 | — | 6 | 1 | no | — |
| 2265 | C2×C3 | — | 9 | 1 | no | — |
| 2266 | C2×C3 | — | 9 | 1 | no | — |
| 2267 | C2×C3 | — | 9 | 1 | no | — |
| 2268 | C2×C3 | — | 18 | 1 | no | — |
| 2269 | C2×C3 | — | 18 | 1 | no | — |
| 2270 | C2×C3 | — | 18 | 1 | no | — |
| 2271 | C2×C3 | — | 18 | 1 | no | — |
| 2272 | C2×C3 | — | 27 | 1 | no | — |
| 2273 | C2×C3 | — | 27 | 1 | no | — |
| 2274 | C2×C3 | — | 27 | 1 | no | — |
| 2275 | C2×C3 | — | 27 | 1 | no | — |
| 2276 | C2×C3 | — | 27 | 1 | no | — |
| 2277 | C2×C3 | — | 36 | 1 | no | — |
| 2278 | C2×C3 | — | 54 | 1 | no | — |
| 2279 | C2×C3 | — | 54 | 1 | no | — |
| 2280 | C2×C3 | — | 54 | 1 | no | — |
| 2281 | C2×C3 | — | 54 | 1 | no | — |
| 2282 | C2×C3 | — | 54 | 1 | no | — |
| 2283 | C2×C3 | — | 54 | 1 | no | — |
| 2284 | C2×C3 | — | 54 | 1 | no | — |
| 2285 | C2×C3 | — | 81 | 1 | no | — |
| 2286 | C2×C3 | — | 81 | 1 | no | — |
| 2287 | C2×C3 | — | 108 | 1 | no | — |
| 2288 | C2×C3 | — | 108 | 1 | no | — |
| 2289 | C2×C3 | — | 108 | 1 | no | — |
| 2290 | C2×C3 | — | 108 | 1 | no | — |
| 2291 | C2×C3 | — | 108 | 1 | no | — |
| 2292 | C2×C3 | — | 108 | 1 | no | — |
| 2293 | C2×C3 | — | 162 | 1 | no | — |
| 2294 | C2×C3 | — | 216 | 1 | no | — |
| 2295 | C2×C3 | — | 216 | 1 | no | — |
| 2296 | C2×C3 | — | 216 | 1 | no | — |
| 2297 | D3 | — | 3 | 1 | no | — |
| 2298 | D3 | — | 6 | 1 | no | — |
| 2299 | D3 | — | 9 | 1 | no | — |
| 2300 | D3 | — | 9 | 1 | no | — |
| 2301 | D3 | — | 9 | 1 | no | — |
| 2302 | D3 | — | 9 | 1 | no | — |
| 2303 | D3 | — | 9 | 1 | no | — |
| 2304 | D3 | — | 9 | 1 | no | — |
| 2305 | D3 | — | 1296 | 1 | no | — |
| 2306 | D3 | — | 18 | 1 | no | — |
| 2307 | D3 | — | 18 | 1 | no | — |
| 2308 | D3 | — | 18 | 1 | no | — |
| 2309 | D3 | — | 18 | 1 | no | — |
| 2310 | D3 | — | 18 | 1 | no | — |
| 2311 | D3 | — | 27 | 1 | no | — |
| 2312 | D3 | — | 27 | 1 | no | — |
| 2313 | D3 | — | 27 | 1 | no | — |
| 2314 | D3 | — | 27 | 1 | no | — |
| 2315 | D3 | — | 27 | 1 | no | — |
| 2316 | D3 | — | 27 | 1 | no | — |
| 2317 | D3 | — | 27 | 1 | no | — |
| 2318 | D3 | — | 36 | 1 | no | — |
| 2319 | D3 | — | 36 | 1 | no | — |
| 2320 | D3 | — | 36 | 1 | no | — |
| 2321 | D3 | — | 36 | 1 | no | — |
| 2322 | D3 | — | 54 | 1 | no | — |
| 2323 | D3 | — | 54 | 1 | no | — |
| 2324 | D3 | — | 54 | 1 | no | — |
| 2325 | D3 | — | 54 | 1 | no | — |
| 2326 | D3 | — | 54 | 1 | no | — |
| 2327 | D3 | — | 54 | 1 | no | — |
| 2328 | D3 | — | 54 | 1 | no | — |
| 2329 | D3 | — | 54 | 1 | no | — |
| 2330 | D3 | — | 324 | 1 | no | — |
| 2331 | D3 | — | 324 | 1 | no | — |
| 2332 | D3 | — | 72 | 1 | no | — |
| 2333 | D3 | — | 72 | 1 | no | — |
| 2334 | D3 | — | 72 | 1 | no | — |
| 2335 | D3 | — | 81 | 1 | no | — |
| 2336 | D3 | — | 81 | 1 | no | — |
| 2337 | D3 | — | 108 | 1 | no | — |
| 2338 | D3 | — | 108 | 1 | no | — |
| 2339 | D3 | — | 648 | 1 | no | — |
| 2340 | D3 | — | 648 | 1 | no | — |
| 2341 | D3 | — | 144 | 1 | no | — |
| 2342 | D3 | — | 162 | 1 | no | — |
| 2343 | D3 | — | 162 | 1 | no | — |
| 2344 | D3 | — | 216 | 1 | no | — |
| 2345 | C22 | — | 9 | 1 | no | — |
| 2346 | C22 | — | 27 | 1 | no | — |
| 2347 | C22 | — | 27 | 1 | no | — |
| 2348 | C22 | — | 27 | 1 | no | — |
| 2349 | C22 | — | 27 | 1 | no | — |
| 2350 | C22 | — | 81 | 1 | no | — |
| 2351 | C22 | — | 81 | 1 | no | — |
| 2352 | C22 | — | 81 | 1 | no | — |
| 2353 | C22 | — | 81 | 1 | no | — |
| 2354 | C22 | — | 81 | 1 | no | — |
| 2355 | C22 | — | 81 | 1 | no | — |
| 2356 | C22 | — | 162 | 1 | no | — |
| 2357 | C22 | — | 162 | 1 | no | — |
| 2358 | C22 | — | 162 | 1 | no | — |
| 2359 | C22 | — | 162 | 1 | no | — |
| 2360 | C22 | — | 162 | 1 | no | — |
| 2361 | C22 | — | 162 | 1 | no | — |
| 2362 | C22 | — | 162 | 1 | no | — |
| 2363 | C22 | — | 162 | 1 | no | — |
| 2364 | C22 | — | 486 | 1 | no | — |
| 2365 | C22 | — | 486 | 1 | no | — |
| 2366 | C22 | — | 486 | 1 | no | — |
| 2367 | C22 | — | 486 | 1 | no | — |
| 2368 | C22 | — | 486 | 1 | no | — |
| 2369 | C22 | — | 243 | 1 | no | — |
| 2370 | C22 | — | 243 | 1 | no | — |
| 2371 | C22 | — | 243 | 1 | no | — |
| 2372 | C22 | ((((C3⋊D3)⋊C3)⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 2373 | C4 | — | 9 | 1 | no | — |
| 2374 | C4 | — | 27 | 1 | no | — |
| 2375 | C4 | — | 27 | 1 | no | — |
| 2376 | C4 | — | 81 | 1 | no | — |
| 2377 | C3 | — | 2 | 1 | no | — |
| 2378 | C3 | — | 3 | 1 | no | — |
| 2379 | C3 | — | 6 | 1 | no | — |
| 2380 | C3 | — | 9 | 1 | no | — |
| 2381 | C3 | — | 12 | 1 | no | — |
| 2382 | C3 | — | 18 | 1 | no | — |
| 2383 | C3 | — | 24 | 1 | no | — |
| 2384 | C3 | — | 24 | 1 | no | — |
| 2385 | C3 | — | 48 | 1 | no | — |
| 2386 | C3 | — | 72 | 1 | no | — |
| 2387 | C3 | — | 144 | 1 | no | — |
| 2388 | C3 | S4×((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic |
| 2389 | C3 | D3×((C3⋊S4)⋊C3)⋊C2 | 1 | 1 | yes | characteristic |
| 2390 | C2 | — | 3 | 1 | no | — |
| 2391 | C2 | — | 9 | 1 | no | — |
| 2392 | C2 | — | 18 | 1 | no | — |
| 2393 | C2 | — | 27 | 1 | no | — |
| 2394 | C2 | — | 27 | 1 | no | — |
| 2395 | C2 | — | 27 | 1 | no | — |
| 2396 | C2 | — | 54 | 1 | no | — |
| 2397 | C2 | — | 54 | 1 | no | — |
| 2398 | C2 | — | 81 | 1 | no | — |
| 2399 | C2 | — | 81 | 1 | no | — |
| 2400 | C2 | — | 162 | 1 | no | — |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C1 | G |
| commutator, cosocle, hypocenter | (C3×A4)⋊H(3,𝔽3) | C23 |
| Frattini | C32 | D32×S4 |
| Fitting | C22×C3×H(3,𝔽3) | C22×D3 |
| socle | C22×C32 | D33 |
| LCS | G ▷ (C3×A4)⋊H(3,𝔽3) | |
| 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 |
|---|---|
| D3×((C3⋊S4)⋊C3)⋊C2 | 3 |
| #72222974 | 2 |
| #72222965 | 2 |
| #72222953 | 2 |
| #72222951 | 2 |
| #72222931 | 2 |
| #72222924 | 2 |
| #72220997 | 3 |
| #72220655 | 2 |
| #72219732 | 3 |
| ((((C3⋊D3)⋊C3)⋊D3)⋊C3)⋊C2 | 4 |