Finite Group DatabasebetaFinite Group DatabasebetaOrder 6912.
3121 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 3121 conjugacy classes of subgroups — too many to draw. Only its 90 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3×#11715001 | — | 3 | 2 | no | maximal |
| 2 | C3×#11923456 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#11923454 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C3×#11923452 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#983⋊A4 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C2×C3×SO+(4,𝔽3) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72215280 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 8 | C2×C3×Ω+(4,𝔽3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 9 | C3×#10596446 | — | 4 | 2 | no | maximal |
| 10 | C3×SO+(4,𝔽3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 11 | C3×SO+(4,𝔽3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | C3×GL(2,𝔽3)⋊A4 | C22 | 1 | 2 | yes | complemented |
| 13 | C3×#226⋊A4 | C22 | 1 | 2 | yes | complemented |
| 14 | C2×C3×#5935 | — | 6 | 1 | no | — |
| 15 | C3×#87498 | — | 3 | 2 | no | — |
| 16 | C3×#87493 | D3 | 1 | 2 | yes | complemented |
| 17 | C2×SO+(4,𝔽3) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 18 | #983⋊A4 | — | 2 | 2 | no | — |
| 19 | #983⋊A4 | C2×C3 | 1 | 2 | yes | complemented |
| 20 | #11923456 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 21 | #11923454 | C2×C3 | 1 | 2 | yes | complemented |
| 22 | #11923452 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 23 | C3×#85544 | — | 3 | 2 | no | — |
| 24 | C2×C3×#5429 | — | 3 | 2 | no | — |
| 25 | C3×#85470 | — | 3 | 2 | no | — |
| 26 | C3×#85470 | — | 3 | 2 | no | — |
| 27 | C3×#85469 | — | 3 | 2 | no | — |
| 28 | C3×#85469 | — | 3 | 2 | no | — |
| 29 | C3×#85468 | — | 3 | 2 | no | — |
| 30 | C3×#85468 | — | 3 | 2 | no | — |
| 31 | C3×#85467 | — | 3 | 2 | no | — |
| 32 | C3×#85467 | — | 3 | 2 | no | — |
| 33 | C3×#85454 | — | 3 | 2 | no | — |
| 34 | C3×#85453 | — | 3 | 2 | no | — |
| 35 | C3×#3585⋊C3 | — | 3 | 2 | no | — |
| 36 | C3×#1007⋊C3 | — | 4 | 2 | no | — |
| 37 | C2×C3×C3⋊GL(2,𝔽3) | — | 4 | 2 | no | — |
| 38 | C32×#983 | — | 4 | 2 | no | — |
| 39 | C3×Ω+(4,𝔽3) | C23 | 1 | 1 | yes | characteristic, complemented |
| 40 | C3×D3×GL(2,𝔽3) | — | 4 | 2 | no | — |
| 41 | C3×#64202 | — | 4 | 2 | no | — |
| 42 | C3×#64199 | — | 4 | 2 | no | — |
| 43 | C3×#64198 | — | 4 | 2 | no | — |
| 44 | #11715001 | — | 3 | 2 | no | — |
| 45 | C3×#61110 | — | 9 | 1 | no | — |
| 46 | C2×C3×#997 | — | 2 | 1 | no | — |
| 47 | C3×#5945 | — | 3 | 2 | no | — |
| 48 | C2×C3×#994 | C2×D3 | 1 | 2 | yes | complemented |
| 49 | C3×#5935 | — | 6 | 1 | no | — |
| 50 | C3×#5935 | — | 6 | 1 | no | — |
| 51 | C3×#5926 | — | 3 | 2 | no | — |
| 52 | C3×#5926 | — | 3 | 2 | no | — |
| 53 | C3×#5926 | — | 6 | 2 | no | — |
| 54 | C3×#5926 | — | 6 | 2 | no | — |
| 55 | C3×#5925 | — | 3 | 2 | no | — |
| 56 | C3×#5925 | — | 3 | 2 | no | — |
| 57 | C3×#5925 | — | 3 | 2 | no | — |
| 58 | C3×#5925 | C2×D3 | 1 | 2 | yes | complemented |
| 59 | C3×#5924 | — | 3 | 2 | no | — |
| 60 | C3×#5924 | C2×D3 | 1 | 2 | yes | complemented |
| 61 | C3×#5923 | — | 3 | 2 | no | — |
| 62 | C3×#5923 | — | 3 | 2 | no | — |
| 63 | C3×#5923 | — | 6 | 2 | no | — |
| 64 | C2×C3×#986 | — | 3 | 2 | no | — |
| 65 | C2×C3×#986 | — | 6 | 2 | no | — |
| 66 | C2×Ω+(4,𝔽3) | — | 2 | 2 | no | — |
| 67 | C2×Ω+(4,𝔽3) | — | 4 | 1 | no | — |
| 68 | C2×Ω+(4,𝔽3) | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 69 | #10596446 | — | 4 | 2 | no | — |
| 70 | SO+(4,𝔽3) | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 71 | SO+(4,𝔽3) | C22×C3 | 1 | 1 | yes | characteristic, complemented |
| 72 | GL(2,𝔽3)⋊A4 | — | 2 | 2 | no | — |
| 73 | GL(2,𝔽3)⋊A4 | C22×C3 | 1 | 2 | yes | complemented |
| 74 | #226⋊A4 | — | 2 | 2 | no | — |
| 75 | #226⋊A4 | C22×C3 | 1 | 2 | yes | complemented |
| 76 | C3×#5778 | — | 12 | 2 | no | — |
| 77 | C3×#577⋊C3 | — | 3 | 2 | no | — |
| 78 | C3×#577⋊C3 | — | 3 | 2 | no | — |
| 79 | C3×#576⋊C3 | — | 3 | 2 | no | — |
| 80 | C3×#576⋊C3 | — | 3 | 2 | no | — |
| 81 | C3×#568⋊C3 | — | 3 | 2 | no | — |
| 82 | C3×#5431 | — | 3 | 2 | no | — |
| 83 | C3×#5430 | — | 3 | 2 | no | — |
| 84 | C3×#5429 | — | 3 | 2 | no | — |
| 85 | C3×#5429 | — | 3 | 2 | no | — |
| 86 | C3×#5429 | — | 3 | 2 | no | — |
| 87 | C3×#5429 | — | 3 | 2 | no | — |
| 88 | C3×#5429 | — | 3 | 2 | no | — |
| 89 | C3×#5428 | — | 3 | 2 | no | — |
| 90 | C2×C3×GU(2,𝔽3) | — | 3 | 2 | no | — |
| 91 | C3×#5407 | — | 3 | 2 | no | — |
| 92 | C3×#5407 | — | 3 | 2 | no | — |
| 93 | C3×#5406 | — | 3 | 2 | no | — |
| 94 | C3×#5406 | — | 3 | 2 | no | — |
| 95 | C3×#5405 | — | 3 | 2 | no | — |
| 96 | C3×#5405 | — | 3 | 2 | no | — |
| 97 | C3×#5404 | — | 3 | 2 | no | — |
| 98 | C3×#5404 | — | 3 | 2 | no | — |
| 99 | C2×C32×SL(2,𝔽3) | — | 4 | 2 | no | — |
| 100 | C3×#3811 | — | 16 | 1 | no | — |
| 101 | C3×D3×SL(2,𝔽3) | — | 4 | 2 | no | — |
| 102 | C3×C3⋊(#41⋊C3) | — | 4 | 2 | no | — |
| 103 | C3×C3⋊GL(2,𝔽3) | — | 4 | 2 | no | — |
| 104 | C3×C3⋊GL(2,𝔽3) | — | 4 | 2 | no | — |
| 105 | C32×GL(2,𝔽3) | — | 4 | 2 | no | — |
| 106 | C32×#226 | — | 4 | 2 | no | — |
| 107 | C2×#5935 | — | 6 | 1 | no | — |
| 108 | #87498 | — | 3 | 2 | no | — |
| 109 | #87493 | C3×D3 | 1 | 2 | yes | complemented |
| 110 | C3×#3585 | — | 3 | 2 | no | — |
| 111 | C3×#3585 | — | 9 | 2 | no | — |
| 112 | #3585⋊C3 | — | 3 | 2 | no | — |
| 113 | #3585⋊C3 | — | 6 | 2 | no | — |
| 114 | #85544 | — | 3 | 2 | no | — |
| 115 | C2×#5429 | — | 3 | 2 | no | — |
| 116 | #85470 | — | 3 | 2 | no | — |
| 117 | #85470 | — | 3 | 2 | no | — |
| 118 | #85469 | — | 3 | 2 | no | — |
| 119 | #85469 | — | 3 | 2 | no | — |
| 120 | #85468 | — | 3 | 2 | no | — |
| 121 | #85468 | — | 3 | 2 | no | — |
| 122 | #85467 | — | 3 | 2 | no | — |
| 123 | #85467 | — | 3 | 2 | no | — |
| 124 | #85454 | — | 3 | 2 | no | — |
| 125 | #85453 | — | 3 | 2 | no | — |
| 126 | C3×#3292 | — | 9 | 1 | no | — |
| 127 | C3×#3292 | — | 9 | 2 | no | — |
| 128 | C3×#3292 | — | 9 | 1 | no | — |
| 129 | C3×#3291 | — | 9 | 1 | no | — |
| 130 | C3×#3291 | — | 9 | 2 | no | — |
| 131 | C3×#3291 | — | 9 | 1 | no | — |
| 132 | C3×#3288 | — | 9 | 2 | no | — |
| 133 | C3×#3288 | — | 9 | 2 | no | — |
| 134 | C3×#3288 | — | 9 | 2 | no | — |
| 135 | C3×#3288 | — | 9 | 2 | no | — |
| 136 | C3×#3151 | — | 9 | 1 | no | — |
| 137 | C3×#3068 | — | 9 | 2 | no | — |
| 138 | C3×#3068 | — | 9 | 2 | no | — |
| 139 | C3×#3018 | — | 9 | 2 | no | — |
| 140 | C2×C3×#453 | — | 9 | 1 | no | — |
| 141 | C2×C3×#453 | — | 9 | 1 | no | — |
| 142 | C3×#2956 | — | 9 | 2 | no | — |
| 143 | C22×C3×S4 | — | 24 | 1 | no | — |
| 144 | C3×#1009 | — | 12 | 2 | no | — |
| 145 | C3×#1007 | — | 4 | 2 | no | — |
| 146 | C3×#997 | — | 2 | 1 | no | — |
| 147 | C3×2−1+4⋊C3 | — | 3 | 2 | no | — |
| 148 | C3×2−1+4⋊C3 | — | 6 | 2 | no | — |
| 149 | C3×#994 | — | 3 | 2 | no | — |
| 150 | C3×#994 | — | 3 | 2 | no | — |
| 151 | C3×#994 | C22×D3 | 1 | 2 | yes | — |
| 152 | C2×C3×#41⋊C3 | — | 3 | 2 | no | — |
| 153 | C2×C3×#41⋊C3 | — | 6 | 2 | no | — |
| 154 | #1007⋊C3 | — | 4 | 2 | no | — |
| 155 | #1007⋊C3 | — | 8 | 2 | no | — |
| 156 | C2×C3⋊GL(2,𝔽3) | — | 4 | 2 | no | — |
| 157 | C3×#986 | — | 3 | 2 | no | — |
| 158 | C3×#986 | — | 3 | 2 | no | — |
| 159 | C3×#986 | — | 3 | 2 | no | — |
| 160 | C3×#986 | — | 3 | 2 | no | — |
| 161 | C3×#986 | — | 6 | 2 | no | — |
| 162 | C3×#986 | — | 6 | 2 | no | — |
| 163 | C3×#986 | — | 6 | 2 | no | — |
| 164 | C3×#985 | — | 3 | 2 | no | — |
| 165 | C3×#985 | — | 3 | 2 | no | — |
| 166 | C3×#985 | — | 6 | 2 | no | — |
| 167 | C3×#985 | — | 6 | 2 | no | — |
| 168 | C3×#985 | — | 6 | 2 | no | — |
| 169 | C3×#984 | — | 3 | 2 | no | — |
| 170 | C3×#984 | — | 3 | 2 | no | — |
| 171 | C3×#983 | — | 3 | 2 | no | — |
| 172 | C3×#983 | — | 4 | 2 | no | — |
| 173 | C3×#983 | — | 6 | 2 | no | — |
| 174 | C3×#983 | — | 6 | 2 | no | — |
| 175 | C3×#983 | — | 8 | 2 | no | — |
| 176 | C3×#983 | S4 | 1 | 2 | yes | complemented |
| 177 | C2×C3×GL(2,𝔽3) | — | 6 | 2 | no | — |
| 178 | C2×C3×GL(2,𝔽3) | — | 6 | 2 | no | — |
| 179 | C2×C3×GL(2,𝔽3) | — | 6 | 2 | no | — |
| 180 | C2×C3×GL(2,𝔽3) | — | 24 | 2 | no | — |
| 181 | Ω+(4,𝔽3) | — | 2 | 2 | no | — |
| 182 | Ω+(4,𝔽3) | — | 4 | 1 | no | — |
| 183 | Ω+(4,𝔽3) | C23×C3 | 1 | 1 | yes | characteristic, complemented |
| 184 | D3×GL(2,𝔽3) | — | 4 | 2 | no | — |
| 185 | #64202 | — | 4 | 2 | no | — |
| 186 | #64199 | — | 4 | 2 | no | — |
| 187 | #64198 | — | 4 | 2 | no | — |
| 188 | C32×#137 | — | 12 | 2 | no | — |
| 189 | C3×#950 | — | 12 | 2 | no | — |
| 190 | C2×C3×#215 | — | 12 | 2 | no | — |
| 191 | C3×#919 | — | 12 | 2 | no | — |
| 192 | C3×#919 | — | 12 | 2 | no | — |
| 193 | C3×#918 | — | 12 | 2 | no | — |
| 194 | C3×#918 | — | 12 | 2 | no | — |
| 195 | C3×#914 | — | 12 | 2 | no | — |
| 196 | C3×#914 | — | 12 | 2 | no | — |
| 197 | C3×D3×SD16 | — | 12 | 2 | no | — |
| 198 | C3×D3×SD16 | — | 12 | 2 | no | — |
| 199 | C3×#908 | — | 12 | 2 | no | — |
| 200 | C3×#907 | — | 12 | 2 | no | — |
| 201 | C3×#131⋊C3 | — | 3 | 2 | no | — |
| 202 | C3×#131⋊C3 | — | 3 | 2 | no | — |
| 203 | C3×GU(2,𝔽3) | — | 3 | 2 | no | — |
| 204 | C3×GU(2,𝔽3) | — | 3 | 2 | no | — |
| 205 | #61110 | — | 9 | 1 | no | Sylow |
| 206 | C22×C3×C3⋊D3 | — | 16 | 1 | no | — |
| 207 | C2×C3×D32 | — | 16 | 1 | no | — |
| 208 | C32×#67 | — | 16 | 2 | no | — |
| 209 | C32×SL(2,𝔽3) | — | 4 | 2 | no | — |
| 210 | C3×#626 | — | 16 | 2 | no | — |
| 211 | C3×#624 | — | 16 | 1 | no | — |
| 212 | C3×#585 | — | 3 | 2 | no | — |
| 213 | C2×C3×H(5,𝔽2) | — | 9 | 1 | no | — |
| 214 | C2×C3×H(5,𝔽2) | D32 | 1 | 1 | yes | characteristic, complemented |
| 215 | C2×#997 | — | 2 | 1 | no | — |
| 216 | C2×#997 | — | 4 | 1 | no | — |
| 217 | #5945 | — | 3 | 2 | no | — |
| 218 | #5945 | — | 6 | 2 | no | — |
| 219 | C2×#994 | — | 2 | 2 | no | — |
| 220 | C2×#994 | C2×C3×D3 | 1 | 2 | yes | complemented |
| 221 | #5935 | — | 6 | 1 | no | — |
| 222 | #5935 | — | 6 | 1 | no | — |
| 223 | #5926 | — | 3 | 2 | no | — |
| 224 | #5926 | — | 3 | 2 | no | — |
| 225 | #5926 | — | 6 | 2 | no | — |
| 226 | #5926 | — | 6 | 2 | no | — |
| 227 | #5925 | — | 3 | 2 | no | — |
| 228 | #5925 | — | 3 | 2 | no | — |
| 229 | #5925 | — | 3 | 2 | no | — |
| 230 | #5925 | C2×C3×D3 | 1 | 2 | yes | complemented |
| 231 | #5924 | — | 3 | 2 | no | — |
| 232 | #5924 | C2×C3×D3 | 1 | 2 | yes | complemented |
| 233 | #5923 | — | 3 | 2 | no | — |
| 234 | #5923 | — | 3 | 2 | no | — |
| 235 | #5923 | — | 6 | 2 | no | — |
| 236 | C2×#986 | — | 3 | 2 | no | — |
| 237 | C2×#986 | — | 6 | 2 | no | — |
| 238 | C3×#577 | — | 3 | 2 | no | — |
| 239 | C3×#577 | — | 3 | 2 | no | — |
| 240 | C3×#577 | — | 9 | 2 | no | — |
| 241 | C3×#577 | — | 9 | 2 | no | — |
| 242 | C3×#577 | — | 9 | 2 | no | — |
| 243 | C3×#577 | — | 9 | 2 | no | — |
| 244 | C3×#577 | — | 9 | 2 | no | — |
| 245 | C3×#577 | — | 9 | 2 | no | — |
| 246 | C3×#577 | — | 18 | 2 | no | — |
| 247 | C3×#577 | — | 18 | 2 | no | — |
| 248 | C3×#576 | — | 3 | 2 | no | — |
| 249 | C3×#576 | — | 3 | 2 | no | — |
| 250 | C3×#576 | — | 9 | 2 | no | — |
| 251 | C3×#576 | — | 9 | 2 | no | — |
| 252 | C3×#576 | — | 9 | 2 | no | — |
| 253 | C3×#576 | — | 9 | 2 | no | — |
| 254 | C3×#576 | — | 9 | 2 | no | — |
| 255 | C3×#576 | — | 9 | 2 | no | — |
| 256 | C3×#576 | — | 18 | 2 | no | — |
| 257 | C3×#576 | — | 18 | 2 | no | — |
| 258 | C3×#575 | — | 9 | 2 | no | — |
| 259 | C3×#575 | — | 9 | 2 | no | — |
| 260 | C3×#575 | — | 9 | 2 | no | — |
| 261 | C3×#575 | — | 18 | 2 | no | — |
| 262 | C3×#575 | — | 18 | 2 | no | — |
| 263 | C2×C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 264 | C2×C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 265 | C2×C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 266 | C2×C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 267 | C2×C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 268 | C2×C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 269 | C3×#568 | — | 3 | 2 | no | — |
| 270 | C3×#568 | — | 9 | 2 | no | — |
| 271 | C3×#532 | — | 9 | 1 | no | — |
| 272 | C2×C3×#127 | — | 9 | 1 | no | — |
| 273 | #5778 | — | 12 | 2 | no | — |
| 274 | #577⋊C3 | — | 3 | 2 | no | — |
| 275 | #577⋊C3 | — | 3 | 2 | no | — |
| 276 | #577⋊C3 | — | 6 | 2 | no | — |
| 277 | #577⋊C3 | — | 6 | 2 | no | — |
| 278 | #576⋊C3 | — | 3 | 2 | no | — |
| 279 | #576⋊C3 | — | 3 | 2 | no | — |
| 280 | #576⋊C3 | — | 6 | 2 | no | — |
| 281 | #576⋊C3 | — | 6 | 2 | no | — |
| 282 | #568⋊C3 | — | 3 | 2 | no | — |
| 283 | #568⋊C3 | — | 6 | 2 | no | — |
| 284 | #5431 | — | 3 | 2 | no | — |
| 285 | #5430 | — | 3 | 2 | no | — |
| 286 | #5429 | — | 3 | 2 | no | — |
| 287 | #5429 | — | 3 | 2 | no | — |
| 288 | #5429 | — | 3 | 2 | no | — |
| 289 | #5429 | — | 3 | 2 | no | — |
| 290 | #5429 | — | 3 | 2 | no | — |
| 291 | #5428 | — | 3 | 2 | no | — |
| 292 | C2×GU(2,𝔽3) | — | 3 | 2 | no | — |
| 293 | #5407 | — | 3 | 2 | no | — |
| 294 | #5407 | — | 3 | 2 | no | — |
| 295 | #5406 | — | 3 | 2 | no | — |
| 296 | #5406 | — | 3 | 2 | no | — |
| 297 | #5405 | — | 3 | 2 | no | — |
| 298 | #5405 | — | 3 | 2 | no | — |
| 299 | #5404 | — | 3 | 2 | no | — |
| 300 | #5404 | — | 3 | 2 | no | — |
| 301 | C3×#496 | — | 9 | 2 | no | — |
| 302 | C3×#496 | — | 9 | 2 | no | — |
| 303 | C3×#493 | — | 9 | 1 | no | — |
| 304 | C3×#493 | — | 9 | 1 | no | — |
| 305 | C3×#492 | — | 9 | 1 | no | — |
| 306 | C3×#492 | — | 9 | 1 | no | — |
| 307 | C3×#472 | — | 9 | 2 | no | — |
| 308 | C3×#472 | — | 9 | 2 | no | — |
| 309 | C3×#472 | — | 9 | 2 | no | — |
| 310 | C3×#472 | — | 9 | 2 | no | — |
| 311 | C3×#472 | — | 9 | 2 | no | — |
| 312 | C3×#472 | — | 9 | 2 | no | — |
| 313 | C3×#472 | — | 9 | 2 | no | — |
| 314 | C3×#472 | — | 9 | 2 | no | — |
| 315 | C3×#471 | — | 9 | 2 | no | — |
| 316 | C3×#471 | — | 9 | 2 | no | — |
| 317 | C3×#471 | — | 9 | 2 | no | — |
| 318 | C3×#471 | — | 9 | 2 | no | — |
| 319 | C3×#471 | — | 9 | 2 | no | — |
| 320 | C3×#471 | — | 9 | 2 | no | — |
| 321 | C3×#471 | — | 9 | 2 | no | — |
| 322 | C3×#471 | — | 9 | 2 | no | — |
| 323 | C3×#456 | — | 9 | 2 | no | — |
| 324 | C3×#456 | — | 9 | 2 | no | — |
| 325 | C3×#455 | — | 9 | 2 | no | — |
| 326 | C3×#455 | — | 9 | 2 | no | — |
| 327 | C3×#454 | — | 9 | 2 | no | — |
| 328 | C3×#454 | — | 9 | 2 | no | — |
| 329 | C3×#453 | — | 9 | 2 | no | — |
| 330 | C3×#453 | — | 9 | 2 | no | — |
| 331 | C3×#453 | — | 9 | 2 | no | — |
| 332 | C3×#453 | — | 9 | 1 | no | — |
| 333 | C3×#453 | — | 9 | 2 | no | — |
| 334 | C3×#453 | — | 9 | 1 | no | — |
| 335 | C3×#453 | — | 9 | 1 | no | — |
| 336 | C3×#453 | — | 9 | 1 | no | — |
| 337 | C3×#453 | — | 9 | 2 | no | — |
| 338 | C3×#453 | — | 9 | 1 | no | — |
| 339 | C3×#453 | — | 9 | 1 | no | — |
| 340 | C3×#453 | — | 9 | 2 | no | — |
| 341 | C3×#453 | — | 9 | 1 | no | — |
| 342 | C3×#453 | — | 9 | 1 | no | — |
| 343 | C3×#444 | — | 9 | 2 | no | — |
| 344 | C3×#444 | — | 9 | 2 | no | — |
| 345 | C3×#444 | — | 9 | 2 | no | — |
| 346 | C3×#444 | — | 9 | 2 | no | — |
| 347 | C3×#443 | — | 9 | 2 | no | — |
| 348 | C3×#443 | — | 9 | 2 | no | — |
| 349 | C3×#443 | — | 9 | 2 | no | — |
| 350 | C3×#443 | — | 9 | 2 | no | — |
| 351 | C3×#430 | — | 9 | 2 | no | — |
| 352 | C2×C3×#104 | — | 9 | 2 | no | — |
| 353 | C2×C3×#104 | — | 9 | 2 | no | — |
| 354 | C3×#413 | — | 9 | 2 | no | — |
| 355 | C2×C3×#100 | — | 9 | 1 | no | — |
| 356 | C2×C3×#100 | — | 9 | 1 | no | — |
| 357 | C3×C4×M16 | — | 9 | 1 | no | — |
| 358 | C22×C3×A4 | — | 24 | 1 | no | — |
| 359 | C2×C3×S4 | — | 24 | 1 | no | — |
| 360 | C2×C3×S4 | — | 24 | 1 | no | — |
| 361 | C2×C3×S4 | — | 24 | 4 | no | — |
| 362 | C32×#41 | — | 12 | 2 | no | — |
| 363 | C2×C32×Q8 | — | 4 | 2 | no | — |
| 364 | C3×#239 | — | 4 | 2 | no | — |
| 365 | C3×#239 | — | 12 | 2 | no | — |
| 366 | C3×#239 | — | 12 | 2 | no | — |
| 367 | C3×#239 | — | 12 | 2 | no | — |
| 368 | C3×D3×Q8 | — | 4 | 2 | no | — |
| 369 | C3×D3×Q8 | — | 12 | 2 | no | — |
| 370 | C3×D3×D4 | — | 12 | 2 | no | — |
| 371 | C3×D3×D4 | — | 12 | 2 | no | — |
| 372 | C3×D3×D4 | — | 24 | 2 | no | — |
| 373 | C3×D3×D4 | — | 24 | 2 | no | — |
| 374 | C3×#235 | — | 12 | 2 | no | — |
| 375 | C3×#235 | — | 12 | 2 | no | — |
| 376 | C3×#235 | — | 24 | 2 | no | — |
| 377 | C2×C3×D12 | — | 12 | 2 | no | — |
| 378 | C2×C3×D12 | — | 24 | 2 | no | — |
| 379 | C3×#41⋊C3 | — | 3 | 2 | no | — |
| 380 | C3×#41⋊C3 | — | 3 | 2 | no | — |
| 381 | C3×#41⋊C3 | — | 6 | 2 | no | — |
| 382 | C2×C3×SL(2,𝔽3) | — | 4 | 2 | no | — |
| 383 | C2×C3×SL(2,𝔽3) | — | 6 | 2 | no | — |
| 384 | C2×C3×SL(2,𝔽3) | — | 8 | 2 | no | — |
| 385 | C2×C3×SL(2,𝔽3) | — | 8 | 2 | no | — |
| 386 | C2×C3×SL(2,𝔽3) | — | 8 | 2 | no | — |
| 387 | C2×C3×SL(2,𝔽3) | — | 16 | 2 | no | — |
| 388 | C2×C3×SL(2,𝔽3) | C2×S4 | 1 | 2 | yes | — |
| 389 | #3811 | — | 16 | 1 | no | — |
| 390 | D3×SL(2,𝔽3) | — | 4 | 2 | no | — |
| 391 | D3×SL(2,𝔽3) | — | 8 | 2 | no | — |
| 392 | C3⋊(#41⋊C3) | — | 4 | 2 | no | — |
| 393 | C3⋊(#41⋊C3) | — | 8 | 2 | no | — |
| 394 | C3⋊GL(2,𝔽3) | — | 4 | 2 | no | — |
| 395 | C3⋊GL(2,𝔽3) | — | 4 | 2 | no | — |
| 396 | C3×GL(2,𝔽3) | — | 3 | 2 | no | — |
| 397 | C3×GL(2,𝔽3) | — | 4 | 2 | no | — |
| 398 | C3×GL(2,𝔽3) | — | 6 | 2 | no | — |
| 399 | C3×GL(2,𝔽3) | — | 6 | 2 | no | — |
| 400 | C3×GL(2,𝔽3) | — | 8 | 2 | no | — |
| 401 | C3×GL(2,𝔽3) | — | 24 | 2 | no | — |
| 402 | C3×GL(2,𝔽3) | — | 24 | 2 | no | — |
| 403 | C3×GL(2,𝔽3) | C2×S4 | 1 | 2 | yes | complemented |
| 404 | C3×#226 | — | 3 | 2 | no | — |
| 405 | C3×#226 | — | 4 | 2 | no | — |
| 406 | C3×#226 | — | 8 | 2 | no | — |
| 407 | C3×#226 | C2×S4 | 1 | 2 | yes | complemented |
| 408 | C32×Q16 | — | 12 | 2 | no | — |
| 409 | C32×Q16 | — | 12 | 2 | no | — |
| 410 | C32×SD16 | — | 12 | 2 | no | — |
| 411 | C32×SD16 | — | 12 | 2 | no | — |
| 412 | C32×M16 | — | 12 | 2 | no | — |
| 413 | C3×#216 | — | 12 | 2 | no | — |
| 414 | C3×#215 | — | 12 | 2 | no | — |
| 415 | C3×#215 | — | 12 | 2 | no | — |
| 416 | C3×#215 | — | 12 | 2 | no | — |
| 417 | C3×#215 | — | 12 | 2 | no | — |
| 418 | C3×#215 | — | 12 | 2 | no | — |
| 419 | C3×#214 | — | 12 | 2 | no | — |
| 420 | C3×#213 | — | 12 | 2 | no | — |
| 421 | C2×C3×C3⋊C8 | — | 12 | 2 | no | — |
| 422 | C3×D24 | — | 12 | 2 | no | — |
| 423 | C3×D24 | — | 12 | 2 | no | — |
| 424 | C3×#204 | — | 12 | 2 | no | — |
| 425 | C3×#204 | — | 12 | 2 | no | — |
| 426 | C3×ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 427 | C3×ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 428 | C3×D3×C8 | — | 12 | 2 | no | — |
| 429 | C3×D3×C8 | — | 12 | 2 | no | — |
| 430 | #3585 | — | 3 | 2 | no | — |
| 431 | #3585 | — | 9 | 2 | no | — |
| 432 | #3292 | — | 9 | 1 | no | — |
| 433 | #3292 | — | 9 | 2 | no | — |
| 434 | #3292 | — | 9 | 1 | no | — |
| 435 | #3291 | — | 9 | 1 | no | — |
| 436 | #3291 | — | 9 | 2 | no | — |
| 437 | #3291 | — | 9 | 1 | no | — |
| 438 | #3288 | — | 9 | 2 | no | — |
| 439 | #3288 | — | 9 | 2 | no | — |
| 440 | #3288 | — | 9 | 2 | no | — |
| 441 | #3288 | — | 9 | 2 | no | — |
| 442 | #3151 | — | 9 | 1 | no | — |
| 443 | #3068 | — | 9 | 2 | no | — |
| 444 | #3068 | — | 9 | 2 | no | — |
| 445 | #3018 | — | 9 | 2 | no | — |
| 446 | C2×#453 | — | 9 | 1 | no | — |
| 447 | C2×#453 | — | 9 | 1 | no | — |
| 448 | #2956 | — | 9 | 2 | no | — |
| 449 | C22×C33 | — | 16 | 1 | no | — |
| 450 | C2×C3×C3⋊D3 | — | 16 | 1 | no | — |
| 451 | C2×C3×C3⋊D3 | — | 16 | 1 | no | — |
| 452 | C2×C3×C3⋊D3 | — | 32 | 2 | no | — |
| 453 | C2×C32×D3 | — | 16 | 2 | no | — |
| 454 | C3×D32 | — | 32 | 2 | no | — |
| 455 | C32×Dic3 | — | 16 | 2 | no | — |
| 456 | C22×S4 | — | 24 | 1 | no | — |
| 457 | C3×2−1+4 | — | 3 | 2 | no | — |
| 458 | C3×2−1+4 | — | 6 | 2 | no | — |
| 459 | C3×2−1+4 | — | 9 | 2 | no | — |
| 460 | C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 461 | C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 462 | C3×H(5,𝔽2) | — | 9 | 2 | no | — |
| 463 | C3×H(5,𝔽2) | — | 9 | 1 | no | — |
| 464 | C3×H(5,𝔽2) | — | 9 | 1 | no | — |
| 465 | C3×H(5,𝔽2) | — | 9 | 2 | no | — |
| 466 | C3×H(5,𝔽2) | — | 9 | 1 | no | — |
| 467 | C3×H(5,𝔽2) | — | 18 | 2 | no | — |
| 468 | C3×H(5,𝔽2) | — | 18 | 2 | no | — |
| 469 | C3×H(5,𝔽2) | — | 18 | 2 | no | — |
| 470 | C3×H(5,𝔽2) | — | 36 | 1 | no | — |
| 471 | C3×H(5,𝔽2) | C2×D32 | 1 | 1 | yes | characteristic |
| 472 | C2×C3×#41 | — | 3 | 2 | no | — |
| 473 | C2×C3×#41 | — | 6 | 2 | no | — |
| 474 | C2×C3×#41 | — | 9 | 2 | no | — |
| 475 | C2×C3×#41 | — | 9 | 2 | no | — |
| 476 | C2×C3×#41 | — | 18 | 2 | no | — |
| 477 | C2×C3×#41 | — | 18 | 2 | no | — |
| 478 | C22×C3×D4 | — | 9 | 1 | no | — |
| 479 | C22×C3×D4 | — | 9 | 1 | no | — |
| 480 | C22×C3×D4 | — | 18 | 2 | no | — |
| 481 | C22×C3×D4 | — | 36 | 1 | no | — |
| 482 | C22×C3×D4 | — | 36 | 1 | no | — |
| 483 | #1009 | — | 12 | 2 | no | — |
| 484 | #1007 | — | 4 | 2 | no | — |
| 485 | #997 | — | 2 | 1 | no | — |
| 486 | #997 | — | 4 | 1 | no | — |
| 487 | 2−1+4⋊C3 | — | 3 | 2 | no | — |
| 488 | 2−1+4⋊C3 | — | 6 | 2 | no | — |
| 489 | 2−1+4⋊C3 | — | 6 | 2 | no | — |
| 490 | 2−1+4⋊C3 | — | 12 | 2 | no | — |
| 491 | #994 | — | 2 | 2 | no | — |
| 492 | #994 | — | 3 | 2 | no | — |
| 493 | #994 | — | 3 | 2 | no | — |
| 494 | #994 | — | 6 | 2 | no | — |
| 495 | #994 | — | 6 | 2 | no | — |
| 496 | #994 | C22×C3×D3 | 1 | 2 | yes | — |
| 497 | C2×#41⋊C3 | — | 3 | 2 | no | — |
| 498 | C2×#41⋊C3 | — | 6 | 2 | no | — |
| 499 | C2×#41⋊C3 | — | 6 | 2 | no | — |
| 500 | C2×#41⋊C3 | — | 12 | 2 | no | — |
| 501 | #986 | — | 3 | 2 | no | — |
| 502 | #986 | — | 3 | 2 | no | — |
| 503 | #986 | — | 3 | 2 | no | — |
| 504 | #986 | — | 3 | 2 | no | — |
| 505 | #986 | — | 6 | 2 | no | — |
| 506 | #986 | — | 6 | 2 | no | — |
| 507 | #986 | — | 6 | 2 | no | — |
| 508 | #985 | — | 3 | 2 | no | — |
| 509 | #985 | — | 3 | 2 | no | — |
| 510 | #985 | — | 6 | 2 | no | — |
| 511 | #985 | — | 6 | 2 | no | — |
| 512 | #985 | — | 6 | 2 | no | — |
| 513 | #984 | — | 3 | 2 | no | — |
| 514 | #984 | — | 3 | 2 | no | — |
| 515 | #983 | — | 3 | 2 | no | — |
| 516 | #983 | — | 6 | 2 | no | — |
| 517 | #983 | — | 6 | 2 | no | — |
| 518 | #983 | C3×S4 | 1 | 2 | yes | complemented |
| 519 | C2×GL(2,𝔽3) | — | 6 | 2 | no | — |
| 520 | C2×GL(2,𝔽3) | — | 6 | 2 | no | — |
| 521 | C2×GL(2,𝔽3) | — | 6 | 2 | no | — |
| 522 | C2×GL(2,𝔽3) | — | 24 | 2 | no | — |
| 523 | C3×#137 | — | 3 | 2 | no | — |
| 524 | C3×#137 | — | 9 | 2 | no | — |
| 525 | C3×#137 | — | 9 | 2 | no | — |
| 526 | C3×#137 | — | 9 | 2 | no | — |
| 527 | C3×#137 | — | 9 | 2 | no | — |
| 528 | C3×#137 | — | 9 | 2 | no | — |
| 529 | C3×#137 | — | 9 | 2 | no | — |
| 530 | C3×#137 | — | 9 | 2 | no | — |
| 531 | C3×#137 | — | 12 | 2 | no | — |
| 532 | C3×#137 | — | 18 | 2 | no | — |
| 533 | C3×#137 | — | 18 | 2 | no | — |
| 534 | C3×#137 | — | 18 | 2 | no | — |
| 535 | C3×#137 | — | 18 | 2 | no | — |
| 536 | C3×#137 | — | 18 | 2 | no | — |
| 537 | C3×#137 | — | 24 | 2 | no | — |
| 538 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 539 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 540 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 541 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 542 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 543 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 544 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 545 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 546 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 547 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 548 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 549 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 550 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 551 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 552 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 553 | C3×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 554 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 555 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 556 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 557 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 558 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 559 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 560 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 561 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 562 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 563 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 564 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 565 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 566 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 567 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 568 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 569 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 570 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 571 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 572 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 573 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 574 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 575 | C3×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 576 | C3×#135 | — | 9 | 2 | no | — |
| 577 | C3×#135 | — | 9 | 2 | no | — |
| 578 | C3×#135 | — | 9 | 2 | no | — |
| 579 | C3×#135 | — | 9 | 2 | no | — |
| 580 | C3×#135 | — | 18 | 2 | no | — |
| 581 | C3×#135 | — | 18 | 2 | no | — |
| 582 | C3×#135 | — | 18 | 2 | no | — |
| 583 | C3×#135 | — | 18 | 2 | no | — |
| 584 | C3×#135 | — | 18 | 2 | no | — |
| 585 | C3×#135 | — | 18 | 2 | no | — |
| 586 | C3×#135 | — | 18 | 2 | no | — |
| 587 | C3×#135 | — | 18 | 2 | no | — |
| 588 | C3×#135 | — | 18 | 2 | no | — |
| 589 | C3×#135 | — | 18 | 2 | no | — |
| 590 | C3×#135 | — | 18 | 2 | no | — |
| 591 | C3×#135 | — | 18 | 2 | no | — |
| 592 | C2×C3×SD16 | — | 9 | 2 | no | — |
| 593 | C2×C3×SD16 | — | 9 | 2 | no | — |
| 594 | C2×C3×SD16 | — | 9 | 2 | no | — |
| 595 | C2×C3×SD16 | — | 9 | 2 | no | — |
| 596 | C2×C3×SD16 | — | 18 | 2 | no | — |
| 597 | C2×C3×SD16 | — | 18 | 2 | no | — |
| 598 | C2×C3×SD16 | — | 18 | 2 | no | — |
| 599 | C2×C3×SD16 | — | 18 | 2 | no | — |
| 600 | C2×C3×SD16 | — | 18 | 2 | no | — |
| 601 | C2×C3×SD16 | — | 18 | 2 | no | — |
| 602 | C2×C3×D8 | — | 9 | 2 | no | — |
| 603 | C2×C3×D8 | — | 9 | 2 | no | — |
| 604 | C2×C3×D8 | — | 9 | 2 | no | — |
| 605 | C2×C3×D8 | — | 9 | 2 | no | — |
| 606 | C2×C3×D8 | — | 18 | 2 | no | — |
| 607 | C2×C3×D8 | — | 18 | 2 | no | — |
| 608 | C2×C3×D8 | — | 18 | 2 | no | — |
| 609 | C2×C3×D8 | — | 18 | 2 | no | — |
| 610 | C2×C3×D8 | — | 18 | 2 | no | — |
| 611 | C2×C3×D8 | — | 18 | 2 | no | — |
| 612 | C3×#131 | — | 3 | 2 | no | — |
| 613 | C3×#131 | — | 3 | 2 | no | — |
| 614 | C3×#131 | — | 9 | 2 | no | — |
| 615 | C3×#131 | — | 9 | 2 | no | — |
| 616 | C3×#131 | — | 9 | 2 | no | — |
| 617 | C3×#131 | — | 9 | 2 | no | — |
| 618 | C3×#131 | — | 9 | 2 | no | — |
| 619 | C3×#131 | — | 9 | 2 | no | — |
| 620 | C3×#131 | — | 18 | 2 | no | — |
| 621 | C3×#131 | — | 18 | 2 | no | — |
| 622 | C2×C3×M16 | — | 9 | 2 | no | — |
| 623 | C2×C3×M16 | — | 9 | 2 | no | — |
| 624 | C2×C3×M16 | — | 9 | 2 | no | — |
| 625 | C2×C3×M16 | — | 18 | 2 | no | — |
| 626 | C2×C3×M16 | — | 18 | 2 | no | — |
| 627 | C3×C4⋊Q8 | — | 9 | 1 | no | — |
| 628 | C3×#127 | — | 9 | 1 | no | — |
| 629 | C3×#127 | — | 9 | 1 | no | — |
| 630 | C3×#127 | — | 9 | 1 | no | — |
| 631 | C3×#127 | — | 9 | 1 | no | — |
| 632 | C3×#127 | — | 9 | 1 | no | — |
| 633 | C3×#127 | — | 36 | 1 | no | — |
| 634 | C3×#124 | — | 9 | 2 | no | — |
| 635 | C3×#121 | — | 36 | 1 | no | — |
| 636 | C3×C4×D4 | — | 36 | 1 | no | — |
| 637 | C2×C3×C42 | — | 9 | 1 | no | — |
| 638 | #950 | — | 12 | 2 | no | — |
| 639 | C2×#215 | — | 12 | 2 | no | — |
| 640 | #919 | — | 12 | 2 | no | — |
| 641 | #919 | — | 12 | 2 | no | — |
| 642 | #918 | — | 12 | 2 | no | — |
| 643 | #918 | — | 12 | 2 | no | — |
| 644 | #914 | — | 12 | 2 | no | — |
| 645 | #914 | — | 12 | 2 | no | — |
| 646 | D3×SD16 | — | 12 | 2 | no | — |
| 647 | D3×SD16 | — | 12 | 2 | no | — |
| 648 | #908 | — | 12 | 2 | no | — |
| 649 | #907 | — | 12 | 2 | no | — |
| 650 | #131⋊C3 | — | 3 | 2 | no | — |
| 651 | #131⋊C3 | — | 3 | 2 | no | — |
| 652 | #131⋊C3 | — | 6 | 2 | no | — |
| 653 | #131⋊C3 | — | 6 | 2 | no | — |
| 654 | GU(2,𝔽3) | — | 3 | 2 | no | — |
| 655 | GU(2,𝔽3) | — | 3 | 2 | no | — |
| 656 | C3×#108 | — | 9 | 2 | no | — |
| 657 | C3×#108 | — | 9 | 2 | no | — |
| 658 | C3×#108 | — | 9 | 2 | no | — |
| 659 | C3×#108 | — | 9 | 2 | no | — |
| 660 | C3×#104 | — | 9 | 2 | no | — |
| 661 | C3×#104 | — | 9 | 2 | no | — |
| 662 | C3×#104 | — | 9 | 2 | no | — |
| 663 | C3×#104 | — | 9 | 2 | no | — |
| 664 | C3×#104 | — | 9 | 2 | no | — |
| 665 | C3×#104 | — | 9 | 2 | no | — |
| 666 | C3×#104 | — | 9 | 2 | no | — |
| 667 | C3×#104 | — | 9 | 2 | no | — |
| 668 | C3×#101 | — | 9 | 2 | no | — |
| 669 | C3×#101 | — | 9 | 2 | no | — |
| 670 | C3×#100 | — | 9 | 1 | no | — |
| 671 | C3×#100 | — | 9 | 2 | no | — |
| 672 | C3×#100 | — | 9 | 1 | no | — |
| 673 | C3×#100 | — | 9 | 1 | no | — |
| 674 | C3×#100 | — | 9 | 1 | no | — |
| 675 | C3×#100 | — | 9 | 2 | no | — |
| 676 | C3×#100 | — | 9 | 2 | no | — |
| 677 | C3×#100 | — | 9 | 2 | no | — |
| 678 | C3×#97 | — | 9 | 2 | no | — |
| 679 | C3×C4×C8 | — | 9 | 1 | no | — |
| 680 | C3×C4×C8 | — | 9 | 1 | no | — |
| 681 | C22×C3⋊D3 | — | 16 | 1 | no | — |
| 682 | C22×C3×D3 | — | 24 | 2 | no | — |
| 683 | C22×C3×D3 | — | 24 | 2 | no | — |
| 684 | C22×C3×D3 | — | 24 | 2 | no | — |
| 685 | C22×C3×D3 | — | 96 | 1 | no | — |
| 686 | C2×C3×A4 | — | 24 | 1 | no | — |
| 687 | C2×C3×A4 | — | 24 | 2 | no | — |
| 688 | C2×D32 | — | 16 | 1 | no | — |
| 689 | C3×S4 | — | 24 | 2 | no | — |
| 690 | C3×S4 | — | 24 | 2 | no | — |
| 691 | C32×Q8 | — | 4 | 2 | no | — |
| 692 | C32×Q8 | — | 12 | 2 | no | — |
| 693 | C32×Q8 | — | 12 | 2 | no | — |
| 694 | C32×D4 | — | 12 | 2 | no | — |
| 695 | C32×D4 | — | 24 | 2 | no | — |
| 696 | C2×C32×C4 | — | 12 | 2 | no | — |
| 697 | C2×C32×C4 | — | 24 | 2 | no | — |
| 698 | C3×#67 | — | 4 | 2 | no | — |
| 699 | C3×#67 | — | 12 | 2 | no | — |
| 700 | C3×#67 | — | 16 | 2 | no | — |
| 701 | C3×#67 | — | 24 | 2 | no | — |
| 702 | C3×#67 | — | 24 | 2 | no | — |
| 703 | C3×#67 | — | 32 | 2 | no | — |
| 704 | C3×D12 | — | 12 | 2 | no | — |
| 705 | C3×D12 | — | 12 | 2 | no | — |
| 706 | C3×D12 | — | 12 | 2 | no | — |
| 707 | C3×D12 | — | 12 | 2 | no | — |
| 708 | C3×D12 | — | 24 | 2 | no | — |
| 709 | C3×D12 | — | 24 | 2 | no | — |
| 710 | C3×D12 | — | 24 | 2 | no | — |
| 711 | C3×C4×D3 | — | 12 | 2 | no | — |
| 712 | C3×C4×D3 | — | 12 | 2 | no | — |
| 713 | C3×C4×D3 | — | 24 | 2 | no | — |
| 714 | C3×C4×D3 | — | 24 | 2 | no | — |
| 715 | C3×C4×D3 | — | 24 | 2 | no | — |
| 716 | C3×Dic6 | — | 12 | 2 | no | — |
| 717 | C3×Dic6 | — | 12 | 2 | no | — |
| 718 | C3×SL(2,𝔽3) | — | 4 | 2 | no | — |
| 719 | C3×SL(2,𝔽3) | — | 8 | 2 | no | — |
| 720 | C3×SL(2,𝔽3) | — | 8 | 2 | no | — |
| 721 | C3×SL(2,𝔽3) | — | 8 | 2 | no | — |
| 722 | C3×SL(2,𝔽3) | — | 16 | 2 | no | — |
| 723 | C3×SL(2,𝔽3) | C22×S4 | 1 | 2 | yes | — |
| 724 | #626 | — | 16 | 2 | no | — |
| 725 | #624 | — | 16 | 1 | no | — |
| 726 | C32×C8 | — | 12 | 2 | no | — |
| 727 | C32×C8 | — | 12 | 2 | no | — |
| 728 | C3×C3⋊C8 | — | 12 | 2 | no | — |
| 729 | C3×C3⋊C8 | — | 12 | 2 | no | — |
| 730 | #585 | — | 3 | 2 | no | — |
| 731 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 732 | C2×H(5,𝔽2) | C3×D32 | 1 | 1 | yes | characteristic, complemented |
| 733 | #577 | — | 3 | 2 | no | — |
| 734 | #577 | — | 3 | 2 | no | — |
| 735 | #577 | — | 9 | 2 | no | — |
| 736 | #577 | — | 9 | 2 | no | — |
| 737 | #577 | — | 9 | 2 | no | — |
| 738 | #577 | — | 9 | 2 | no | — |
| 739 | #577 | — | 9 | 2 | no | — |
| 740 | #577 | — | 9 | 2 | no | — |
| 741 | #577 | — | 18 | 2 | no | — |
| 742 | #577 | — | 18 | 2 | no | — |
| 743 | #576 | — | 3 | 2 | no | — |
| 744 | #576 | — | 3 | 2 | no | — |
| 745 | #576 | — | 9 | 2 | no | — |
| 746 | #576 | — | 9 | 2 | no | — |
| 747 | #576 | — | 9 | 2 | no | — |
| 748 | #576 | — | 9 | 2 | no | — |
| 749 | #576 | — | 9 | 2 | no | — |
| 750 | #576 | — | 9 | 2 | no | — |
| 751 | #576 | — | 18 | 2 | no | — |
| 752 | #576 | — | 18 | 2 | no | — |
| 753 | #575 | — | 9 | 2 | no | — |
| 754 | #575 | — | 9 | 2 | no | — |
| 755 | #575 | — | 9 | 2 | no | — |
| 756 | #575 | — | 18 | 2 | no | — |
| 757 | #575 | — | 18 | 2 | no | — |
| 758 | C2×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 759 | C2×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 760 | C2×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 761 | C2×AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 762 | C2×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 763 | C2×AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 764 | #568 | — | 3 | 2 | no | — |
| 765 | #568 | — | 9 | 2 | no | — |
| 766 | #532 | — | 9 | 1 | no | — |
| 767 | C2×#127 | — | 9 | 1 | no | — |
| 768 | #496 | — | 9 | 2 | no | — |
| 769 | #496 | — | 9 | 2 | no | — |
| 770 | #493 | — | 9 | 1 | no | — |
| 771 | #493 | — | 9 | 1 | no | — |
| 772 | #492 | — | 9 | 1 | no | — |
| 773 | #492 | — | 9 | 1 | no | — |
| 774 | #472 | — | 9 | 2 | no | — |
| 775 | #472 | — | 9 | 2 | no | — |
| 776 | #472 | — | 9 | 2 | no | — |
| 777 | #472 | — | 9 | 2 | no | — |
| 778 | #472 | — | 9 | 2 | no | — |
| 779 | #472 | — | 9 | 2 | no | — |
| 780 | #472 | — | 9 | 2 | no | — |
| 781 | #472 | — | 9 | 2 | no | — |
| 782 | #471 | — | 9 | 2 | no | — |
| 783 | #471 | — | 9 | 2 | no | — |
| 784 | #471 | — | 9 | 2 | no | — |
| 785 | #471 | — | 9 | 2 | no | — |
| 786 | #471 | — | 9 | 2 | no | — |
| 787 | #471 | — | 9 | 2 | no | — |
| 788 | #471 | — | 9 | 2 | no | — |
| 789 | #471 | — | 9 | 2 | no | — |
| 790 | #456 | — | 9 | 2 | no | — |
| 791 | #456 | — | 9 | 2 | no | — |
| 792 | #455 | — | 9 | 2 | no | — |
| 793 | #455 | — | 9 | 2 | no | — |
| 794 | #454 | — | 9 | 2 | no | — |
| 795 | #454 | — | 9 | 2 | no | — |
| 796 | #453 | — | 9 | 2 | no | — |
| 797 | #453 | — | 9 | 2 | no | — |
| 798 | #453 | — | 9 | 2 | no | — |
| 799 | #453 | — | 9 | 1 | no | — |
| 800 | #453 | — | 9 | 2 | no | — |
| 801 | #453 | — | 9 | 1 | no | — |
| 802 | #453 | — | 9 | 1 | no | — |
| 803 | #453 | — | 9 | 1 | no | — |
| 804 | #453 | — | 9 | 2 | no | — |
| 805 | #453 | — | 9 | 1 | no | — |
| 806 | #453 | — | 9 | 1 | no | — |
| 807 | #453 | — | 9 | 2 | no | — |
| 808 | #453 | — | 9 | 1 | no | — |
| 809 | #453 | — | 9 | 1 | no | — |
| 810 | #444 | — | 9 | 2 | no | — |
| 811 | #444 | — | 9 | 2 | no | — |
| 812 | #444 | — | 9 | 2 | no | — |
| 813 | #444 | — | 9 | 2 | no | — |
| 814 | #443 | — | 9 | 2 | no | — |
| 815 | #443 | — | 9 | 2 | no | — |
| 816 | #443 | — | 9 | 2 | no | — |
| 817 | #443 | — | 9 | 2 | no | — |
| 818 | #430 | — | 9 | 2 | no | — |
| 819 | C2×#104 | — | 9 | 2 | no | — |
| 820 | C2×#104 | — | 9 | 2 | no | — |
| 821 | #413 | — | 9 | 2 | no | — |
| 822 | C2×#100 | — | 9 | 1 | no | — |
| 823 | C2×#100 | — | 9 | 1 | no | — |
| 824 | C4×M16 | — | 9 | 1 | no | — |
| 825 | C2×C33 | — | 16 | 1 | no | — |
| 826 | C2×C33 | — | 32 | 1 | no | — |
| 827 | C3×C3⋊D3 | — | 16 | 2 | no | — |
| 828 | C3×C3⋊D3 | — | 32 | 1 | no | — |
| 829 | C32×D3 | — | 32 | 2 | no | — |
| 830 | C24×C3 | — | 6 | 1 | no | — |
| 831 | C24×C3 | — | 18 | 1 | no | — |
| 832 | C24×C3 | — | 36 | 1 | no | — |
| 833 | C22×A4 | — | 24 | 1 | no | — |
| 834 | C22×A4 | — | 48 | 1 | no | — |
| 835 | C2×S4 | — | 24 | 1 | no | — |
| 836 | C2×S4 | — | 24 | 1 | no | — |
| 837 | C2×S4 | — | 24 | 4 | no | — |
| 838 | C3×#41 | — | 3 | 2 | no | — |
| 839 | C3×#41 | — | 3 | 2 | no | — |
| 840 | C3×#41 | — | 3 | 2 | no | — |
| 841 | C3×#41 | — | 6 | 2 | no | — |
| 842 | C3×#41 | — | 9 | 2 | no | — |
| 843 | C3×#41 | — | 9 | 2 | no | — |
| 844 | C3×#41 | — | 9 | 2 | no | — |
| 845 | C3×#41 | — | 9 | 2 | no | — |
| 846 | C3×#41 | — | 9 | 2 | no | — |
| 847 | C3×#41 | — | 12 | 2 | no | — |
| 848 | C3×#41 | — | 18 | 2 | no | — |
| 849 | C3×#41 | — | 18 | 2 | no | — |
| 850 | C3×#41 | — | 18 | 2 | no | — |
| 851 | C3×#41 | — | 18 | 2 | no | — |
| 852 | C3×#41 | — | 18 | 2 | no | — |
| 853 | C3×#41 | — | 18 | 2 | no | — |
| 854 | C3×#41 | — | 18 | 2 | no | — |
| 855 | C3×#41 | — | 18 | 2 | no | — |
| 856 | C3×#41 | — | 18 | 2 | no | — |
| 857 | C3×#41 | — | 18 | 2 | no | — |
| 858 | C3×#41 | — | 18 | 2 | no | — |
| 859 | C3×#41 | — | 18 | 2 | no | — |
| 860 | C3×#41 | — | 24 | 2 | no | — |
| 861 | C3×#41 | — | 36 | 2 | no | — |
| 862 | C3×#41 | — | 36 | 2 | no | — |
| 863 | C3×#41 | — | 36 | 2 | no | — |
| 864 | C2×C3×Q8 | — | 4 | 2 | no | — |
| 865 | C2×C3×Q8 | — | 6 | 2 | no | — |
| 866 | C2×C3×Q8 | — | 8 | 2 | no | — |
| 867 | C2×C3×Q8 | — | 9 | 2 | no | — |
| 868 | C2×C3×Q8 | — | 9 | 2 | no | — |
| 869 | C2×C3×Q8 | — | 18 | 2 | no | — |
| 870 | C2×C3×Q8 | D3×S4 | 1 | 2 | yes | — |
| 871 | C2×C3×D4 | — | 9 | 2 | no | — |
| 872 | C2×C3×D4 | — | 9 | 2 | no | — |
| 873 | C2×C3×D4 | — | 9 | 1 | no | — |
| 874 | C2×C3×D4 | — | 9 | 1 | no | — |
| 875 | C2×C3×D4 | — | 9 | 2 | no | — |
| 876 | C2×C3×D4 | — | 9 | 1 | no | — |
| 877 | C2×C3×D4 | — | 9 | 1 | no | — |
| 878 | C2×C3×D4 | — | 18 | 2 | no | — |
| 879 | C2×C3×D4 | — | 18 | 2 | no | — |
| 880 | C2×C3×D4 | — | 18 | 2 | no | — |
| 881 | C2×C3×D4 | — | 18 | 1 | no | — |
| 882 | C2×C3×D4 | — | 18 | 1 | no | — |
| 883 | C2×C3×D4 | — | 18 | 2 | no | — |
| 884 | C2×C3×D4 | — | 18 | 2 | no | — |
| 885 | C2×C3×D4 | — | 18 | 2 | no | — |
| 886 | C2×C3×D4 | — | 18 | 2 | no | — |
| 887 | C2×C3×D4 | — | 18 | 2 | no | — |
| 888 | C2×C3×D4 | — | 18 | 2 | no | — |
| 889 | C2×C3×D4 | — | 18 | 2 | no | — |
| 890 | C2×C3×D4 | — | 18 | 2 | no | — |
| 891 | C2×C3×D4 | — | 36 | 2 | no | — |
| 892 | C2×C3×D4 | — | 36 | 2 | no | — |
| 893 | C2×C3×D4 | — | 36 | 2 | no | — |
| 894 | C2×C3×D4 | — | 36 | 1 | no | — |
| 895 | C2×C3×D4 | — | 36 | 1 | no | — |
| 896 | C2×C3×D4 | — | 36 | 1 | no | — |
| 897 | C2×C3×D4 | — | 36 | 1 | no | — |
| 898 | C2×C3×D4 | — | 36 | 1 | no | — |
| 899 | C2×C3×D4 | — | 36 | 1 | no | — |
| 900 | C2×C3×D4 | — | 36 | 2 | no | — |
| 901 | C2×C3×D4 | — | 36 | 2 | no | — |
| 902 | C2×C3×D4 | — | 36 | 1 | no | — |
| 903 | C2×C3×D4 | — | 36 | 2 | no | — |
| 904 | C2×C3×D4 | — | 36 | 1 | no | — |
| 905 | C2×C3×D4 | — | 36 | 1 | no | — |
| 906 | C2×C3×D4 | — | 72 | 4 | no | — |
| 907 | C22×C3×C4 | — | 9 | 1 | no | — |
| 908 | C22×C3×C4 | — | 18 | 2 | no | — |
| 909 | C22×C3×C4 | — | 18 | 2 | no | — |
| 910 | C22×C3×C4 | — | 18 | 1 | no | — |
| 911 | C22×C3×C4 | — | 36 | 1 | no | — |
| 912 | #239 | — | 4 | 2 | no | — |
| 913 | #239 | — | 12 | 2 | no | — |
| 914 | #239 | — | 12 | 2 | no | — |
| 915 | #239 | — | 12 | 2 | no | — |
| 916 | D3×Q8 | — | 4 | 2 | no | — |
| 917 | D3×Q8 | — | 12 | 2 | no | — |
| 918 | D3×D4 | — | 12 | 2 | no | — |
| 919 | D3×D4 | — | 12 | 2 | no | — |
| 920 | D3×D4 | — | 24 | 2 | no | — |
| 921 | D3×D4 | — | 24 | 2 | no | — |
| 922 | #235 | — | 12 | 2 | no | — |
| 923 | #235 | — | 12 | 2 | no | — |
| 924 | #235 | — | 24 | 2 | no | — |
| 925 | C2×D12 | — | 12 | 2 | no | — |
| 926 | C2×D12 | — | 24 | 2 | no | — |
| 927 | #41⋊C3 | — | 3 | 2 | no | — |
| 928 | #41⋊C3 | — | 3 | 2 | no | — |
| 929 | #41⋊C3 | — | 6 | 2 | no | — |
| 930 | #41⋊C3 | — | 6 | 2 | no | — |
| 931 | #41⋊C3 | — | 6 | 2 | no | — |
| 932 | #41⋊C3 | — | 12 | 2 | no | — |
| 933 | C2×SL(2,𝔽3) | — | 2 | 2 | no | — |
| 934 | C2×SL(2,𝔽3) | — | 6 | 2 | no | — |
| 935 | C2×SL(2,𝔽3) | — | 8 | 2 | no | — |
| 936 | C2×SL(2,𝔽3) | — | 12 | 2 | no | — |
| 937 | C2×SL(2,𝔽3) | — | 16 | 2 | no | — |
| 938 | C2×SL(2,𝔽3) | C2×C3×S4 | 1 | 2 | yes | — |
| 939 | GL(2,𝔽3) | — | 3 | 2 | no | — |
| 940 | GL(2,𝔽3) | — | 6 | 2 | no | — |
| 941 | GL(2,𝔽3) | — | 6 | 2 | no | — |
| 942 | GL(2,𝔽3) | — | 24 | 2 | no | — |
| 943 | GL(2,𝔽3) | — | 24 | 2 | no | — |
| 944 | GL(2,𝔽3) | C2×C3×S4 | 1 | 2 | yes | complemented |
| 945 | #226 | — | 3 | 2 | no | — |
| 946 | #226 | C2×C3×S4 | 1 | 2 | yes | complemented |
| 947 | C3×Q16 | — | 3 | 2 | no | — |
| 948 | C3×Q16 | — | 3 | 2 | no | — |
| 949 | C3×Q16 | — | 9 | 2 | no | — |
| 950 | C3×Q16 | — | 9 | 2 | no | — |
| 951 | C3×Q16 | — | 12 | 2 | no | — |
| 952 | C3×Q16 | — | 12 | 2 | no | — |
| 953 | C3×Q16 | — | 18 | 2 | no | — |
| 954 | C3×Q16 | — | 18 | 2 | no | — |
| 955 | C3×Q16 | — | 24 | 2 | no | — |
| 956 | C3×Q16 | — | 24 | 2 | no | — |
| 957 | C3×SD16 | — | 3 | 2 | no | — |
| 958 | C3×SD16 | — | 3 | 2 | no | — |
| 959 | C3×SD16 | — | 9 | 2 | no | — |
| 960 | C3×SD16 | — | 9 | 2 | no | — |
| 961 | C3×SD16 | — | 9 | 2 | no | — |
| 962 | C3×SD16 | — | 9 | 2 | no | — |
| 963 | C3×SD16 | — | 9 | 2 | no | — |
| 964 | C3×SD16 | — | 9 | 2 | no | — |
| 965 | C3×SD16 | — | 12 | 2 | no | — |
| 966 | C3×SD16 | — | 12 | 2 | no | — |
| 967 | C3×SD16 | — | 18 | 2 | no | — |
| 968 | C3×SD16 | — | 18 | 2 | no | — |
| 969 | C3×SD16 | — | 18 | 2 | no | — |
| 970 | C3×SD16 | — | 18 | 2 | no | — |
| 971 | C3×SD16 | — | 18 | 2 | no | — |
| 972 | C3×SD16 | — | 18 | 2 | no | — |
| 973 | C3×SD16 | — | 18 | 2 | no | — |
| 974 | C3×SD16 | — | 18 | 2 | no | — |
| 975 | C3×SD16 | — | 18 | 2 | no | — |
| 976 | C3×SD16 | — | 18 | 2 | no | — |
| 977 | C3×SD16 | — | 18 | 2 | no | — |
| 978 | C3×SD16 | — | 18 | 2 | no | — |
| 979 | C3×SD16 | — | 18 | 2 | no | — |
| 980 | C3×SD16 | — | 18 | 2 | no | — |
| 981 | C3×SD16 | — | 24 | 2 | no | — |
| 982 | C3×SD16 | — | 24 | 2 | no | — |
| 983 | C3×D8 | — | 9 | 2 | no | — |
| 984 | C3×D8 | — | 9 | 2 | no | — |
| 985 | C3×D8 | — | 9 | 2 | no | — |
| 986 | C3×D8 | — | 9 | 2 | no | — |
| 987 | C3×D8 | — | 18 | 2 | no | — |
| 988 | C3×D8 | — | 18 | 2 | no | — |
| 989 | C3×D8 | — | 18 | 2 | no | — |
| 990 | C3×D8 | — | 18 | 2 | no | — |
| 991 | C3×D8 | — | 18 | 2 | no | — |
| 992 | C3×D8 | — | 18 | 2 | no | — |
| 993 | C3×D8 | — | 18 | 2 | no | — |
| 994 | C3×D8 | — | 18 | 2 | no | — |
| 995 | C3×D8 | — | 18 | 2 | no | — |
| 996 | C3×D8 | — | 18 | 2 | no | — |
| 997 | C3×D8 | — | 18 | 2 | no | — |
| 998 | C3×D8 | — | 18 | 2 | no | — |
| 999 | C3×M16 | — | 3 | 2 | no | — |
| 1000 | C3×M16 | — | 9 | 2 | no | — |
| 1001 | C3×M16 | — | 9 | 2 | no | — |
| 1002 | C3×M16 | — | 9 | 2 | no | — |
| 1003 | C3×M16 | — | 9 | 2 | no | — |
| 1004 | C3×M16 | — | 9 | 2 | no | — |
| 1005 | C3×M16 | — | 9 | 2 | no | — |
| 1006 | C3×M16 | — | 9 | 2 | no | — |
| 1007 | C3×M16 | — | 12 | 2 | no | — |
| 1008 | C3×M16 | — | 18 | 2 | no | — |
| 1009 | C3×M16 | — | 18 | 2 | no | — |
| 1010 | C3×M16 | — | 18 | 2 | no | — |
| 1011 | C3×M16 | — | 18 | 2 | no | — |
| 1012 | C3×M16 | — | 18 | 2 | no | — |
| 1013 | C3×M16 | — | 24 | 2 | no | — |
| 1014 | C2×C3×C8 | — | 9 | 2 | no | — |
| 1015 | C2×C3×C8 | — | 9 | 2 | no | — |
| 1016 | C2×C3×C8 | — | 18 | 2 | no | — |
| 1017 | C2×C3×C8 | — | 18 | 2 | no | — |
| 1018 | C2×C3×C8 | — | 18 | 2 | no | — |
| 1019 | C2×C3×C8 | — | 18 | 2 | no | — |
| 1020 | C2×C3×C8 | — | 18 | 2 | no | — |
| 1021 | C2×C3×C8 | — | 18 | 2 | no | — |
| 1022 | C3×C4⋊C4 | — | 36 | 1 | no | — |
| 1023 | C3×C22⋊C4 | — | 36 | 2 | no | — |
| 1024 | C3×C42 | — | 9 | 1 | no | — |
| 1025 | C3×C42 | — | 9 | 1 | no | — |
| 1026 | C3×C42 | — | 18 | 1 | no | — |
| 1027 | #216 | — | 12 | 2 | no | — |
| 1028 | #215 | — | 12 | 2 | no | — |
| 1029 | #215 | — | 12 | 2 | no | — |
| 1030 | #215 | — | 12 | 2 | no | — |
| 1031 | #215 | — | 12 | 2 | no | — |
| 1032 | #215 | — | 12 | 2 | no | — |
| 1033 | #214 | — | 12 | 2 | no | — |
| 1034 | #213 | — | 12 | 2 | no | — |
| 1035 | C2×C3⋊C8 | — | 12 | 2 | no | — |
| 1036 | D24 | — | 12 | 2 | no | — |
| 1037 | D24 | — | 12 | 2 | no | — |
| 1038 | #204 | — | 12 | 2 | no | — |
| 1039 | #204 | — | 12 | 2 | no | — |
| 1040 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 1041 | ΓL(1,𝔽25) | — | 12 | 2 | no | — |
| 1042 | D3×C8 | — | 12 | 2 | no | — |
| 1043 | D3×C8 | — | 12 | 2 | no | — |
| 1044 | C22×C32 | — | 4 | 2 | no | — |
| 1045 | C22×C32 | — | 16 | 1 | no | — |
| 1046 | C22×C32 | — | 24 | 2 | no | — |
| 1047 | C22×C32 | — | 32 | 2 | no | — |
| 1048 | C22×C32 | — | 32 | 1 | no | — |
| 1049 | C22×C32 | — | 64 | 1 | no | — |
| 1050 | C2×C3⋊D3 | — | 16 | 1 | no | — |
| 1051 | C2×C3⋊D3 | — | 16 | 1 | no | — |
| 1052 | C2×C3⋊D3 | — | 32 | 2 | no | — |
| 1053 | C2×C3×D3 | — | 4 | 2 | no | — |
| 1054 | C2×C3×D3 | — | 12 | 2 | no | — |
| 1055 | C2×C3×D3 | — | 16 | 2 | no | — |
| 1056 | C2×C3×D3 | — | 24 | 2 | no | — |
| 1057 | C2×C3×D3 | — | 24 | 2 | no | — |
| 1058 | C2×C3×D3 | — | 32 | 2 | no | — |
| 1059 | C2×C3×D3 | — | 96 | 1 | no | — |
| 1060 | C2×C3×D3 | — | 96 | 1 | no | — |
| 1061 | C2×C3×D3 | — | 96 | 2 | no | — |
| 1062 | C2×C3×D3 | — | 96 | 2 | no | — |
| 1063 | C2×C3×D3 | — | 96 | 2 | no | — |
| 1064 | C2×C3×D3 | — | 96 | 4 | no | — |
| 1065 | C3×A4 | — | 24 | 1 | no | — |
| 1066 | D32 | — | 32 | 2 | no | — |
| 1067 | C32×C4 | — | 12 | 2 | no | — |
| 1068 | C32×C4 | — | 12 | 2 | no | — |
| 1069 | C32×C4 | — | 24 | 2 | no | — |
| 1070 | C3×Dic3 | — | 4 | 2 | no | — |
| 1071 | C3×Dic3 | — | 12 | 2 | no | — |
| 1072 | C3×Dic3 | — | 16 | 2 | no | — |
| 1073 | C3×Dic3 | — | 32 | 2 | no | — |
| 1074 | 2−1+4 | — | 3 | 2 | no | — |
| 1075 | 2−1+4 | — | 6 | 2 | no | — |
| 1076 | 2−1+4 | — | 9 | 2 | no | — |
| 1077 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 1078 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 1079 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 1080 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 1081 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 1082 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 1083 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 1084 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 1085 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 1086 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 1087 | H(5,𝔽2) | — | 36 | 1 | no | — |
| 1088 | H(5,𝔽2) | C2×C3×D32 | 1 | 1 | yes | characteristic |
| 1089 | C2×#41 | — | 3 | 2 | no | — |
| 1090 | C2×#41 | — | 6 | 2 | no | — |
| 1091 | C2×#41 | — | 9 | 2 | no | — |
| 1092 | C2×#41 | — | 9 | 2 | no | — |
| 1093 | C2×#41 | — | 18 | 2 | no | — |
| 1094 | C2×#41 | — | 18 | 2 | no | — |
| 1095 | C22×D4 | — | 9 | 1 | no | — |
| 1096 | C22×D4 | — | 9 | 1 | no | — |
| 1097 | C22×D4 | — | 18 | 2 | no | — |
| 1098 | C22×D4 | — | 36 | 1 | no | — |
| 1099 | C22×D4 | — | 36 | 1 | no | — |
| 1100 | #137 | — | 3 | 2 | no | — |
| 1101 | #137 | — | 9 | 2 | no | — |
| 1102 | #137 | — | 9 | 2 | no | — |
| 1103 | #137 | — | 9 | 2 | no | — |
| 1104 | #137 | — | 9 | 2 | no | — |
| 1105 | #137 | — | 9 | 2 | no | — |
| 1106 | #137 | — | 9 | 2 | no | — |
| 1107 | #137 | — | 9 | 2 | no | — |
| 1108 | #137 | — | 18 | 2 | no | — |
| 1109 | #137 | — | 18 | 2 | no | — |
| 1110 | #137 | — | 18 | 2 | no | — |
| 1111 | #137 | — | 18 | 2 | no | — |
| 1112 | #137 | — | 18 | 2 | no | — |
| 1113 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1114 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1115 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1116 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1117 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1118 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1119 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1120 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1121 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1122 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1123 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1124 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1125 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1126 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1127 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1128 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 1129 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1130 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1131 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1132 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1133 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1134 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1135 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1136 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1137 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1138 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1139 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1140 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1141 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1142 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1143 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1144 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1145 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1146 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1147 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1148 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1149 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1150 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 1151 | #135 | — | 9 | 2 | no | — |
| 1152 | #135 | — | 9 | 2 | no | — |
| 1153 | #135 | — | 9 | 2 | no | — |
| 1154 | #135 | — | 9 | 2 | no | — |
| 1155 | #135 | — | 18 | 2 | no | — |
| 1156 | #135 | — | 18 | 2 | no | — |
| 1157 | #135 | — | 18 | 2 | no | — |
| 1158 | #135 | — | 18 | 2 | no | — |
| 1159 | #135 | — | 18 | 2 | no | — |
| 1160 | #135 | — | 18 | 2 | no | — |
| 1161 | #135 | — | 18 | 2 | no | — |
| 1162 | #135 | — | 18 | 2 | no | — |
| 1163 | #135 | — | 18 | 2 | no | — |
| 1164 | #135 | — | 18 | 2 | no | — |
| 1165 | #135 | — | 18 | 2 | no | — |
| 1166 | #135 | — | 18 | 2 | no | — |
| 1167 | C2×SD16 | — | 9 | 2 | no | — |
| 1168 | C2×SD16 | — | 9 | 2 | no | — |
| 1169 | C2×SD16 | — | 9 | 2 | no | — |
| 1170 | C2×SD16 | — | 9 | 2 | no | — |
| 1171 | C2×SD16 | — | 18 | 2 | no | — |
| 1172 | C2×SD16 | — | 18 | 2 | no | — |
| 1173 | C2×SD16 | — | 18 | 2 | no | — |
| 1174 | C2×SD16 | — | 18 | 2 | no | — |
| 1175 | C2×SD16 | — | 18 | 2 | no | — |
| 1176 | C2×SD16 | — | 18 | 2 | no | — |
| 1177 | C2×D8 | — | 9 | 2 | no | — |
| 1178 | C2×D8 | — | 9 | 2 | no | — |
| 1179 | C2×D8 | — | 9 | 2 | no | — |
| 1180 | C2×D8 | — | 9 | 2 | no | — |
| 1181 | C2×D8 | — | 18 | 2 | no | — |
| 1182 | C2×D8 | — | 18 | 2 | no | — |
| 1183 | C2×D8 | — | 18 | 2 | no | — |
| 1184 | C2×D8 | — | 18 | 2 | no | — |
| 1185 | C2×D8 | — | 18 | 2 | no | — |
| 1186 | C2×D8 | — | 18 | 2 | no | — |
| 1187 | #131 | — | 3 | 2 | no | — |
| 1188 | #131 | — | 3 | 2 | no | — |
| 1189 | #131 | — | 9 | 2 | no | — |
| 1190 | #131 | — | 9 | 2 | no | — |
| 1191 | #131 | — | 9 | 2 | no | — |
| 1192 | #131 | — | 9 | 2 | no | — |
| 1193 | #131 | — | 9 | 2 | no | — |
| 1194 | #131 | — | 9 | 2 | no | — |
| 1195 | #131 | — | 18 | 2 | no | — |
| 1196 | #131 | — | 18 | 2 | no | — |
| 1197 | C2×M16 | — | 9 | 2 | no | — |
| 1198 | C2×M16 | — | 9 | 2 | no | — |
| 1199 | C2×M16 | — | 9 | 2 | no | — |
| 1200 | C2×M16 | — | 18 | 2 | no | — |
| 1201 | C2×M16 | — | 18 | 2 | no | — |
| 1202 | C4⋊Q8 | — | 9 | 1 | no | — |
| 1203 | #127 | — | 9 | 1 | no | — |
| 1204 | #127 | — | 9 | 1 | no | — |
| 1205 | #127 | — | 9 | 1 | no | — |
| 1206 | #127 | — | 9 | 1 | no | — |
| 1207 | #127 | — | 9 | 1 | no | — |
| 1208 | #127 | — | 36 | 1 | no | — |
| 1209 | #124 | — | 9 | 2 | no | — |
| 1210 | #121 | — | 36 | 1 | no | — |
| 1211 | C4×D4 | — | 36 | 1 | no | — |
| 1212 | C2×C42 | — | 9 | 1 | no | — |
| 1213 | #108 | — | 9 | 2 | no | — |
| 1214 | #108 | — | 9 | 2 | no | — |
| 1215 | #108 | — | 9 | 2 | no | — |
| 1216 | #108 | — | 9 | 2 | no | — |
| 1217 | #104 | — | 9 | 2 | no | — |
| 1218 | #104 | — | 9 | 2 | no | — |
| 1219 | #104 | — | 9 | 2 | no | — |
| 1220 | #104 | — | 9 | 2 | no | — |
| 1221 | #104 | — | 9 | 2 | no | — |
| 1222 | #104 | — | 9 | 2 | no | — |
| 1223 | #104 | — | 9 | 2 | no | — |
| 1224 | #104 | — | 9 | 2 | no | — |
| 1225 | #101 | — | 9 | 2 | no | — |
| 1226 | #101 | — | 9 | 2 | no | — |
| 1227 | #100 | — | 9 | 1 | no | — |
| 1228 | #100 | — | 9 | 2 | no | — |
| 1229 | #100 | — | 9 | 1 | no | — |
| 1230 | #100 | — | 9 | 1 | no | — |
| 1231 | #100 | — | 9 | 1 | no | — |
| 1232 | #100 | — | 9 | 2 | no | — |
| 1233 | #100 | — | 9 | 2 | no | — |
| 1234 | #100 | — | 9 | 2 | no | — |
| 1235 | #97 | — | 9 | 2 | no | — |
| 1236 | C4×C8 | — | 9 | 1 | no | — |
| 1237 | C4×C8 | — | 9 | 1 | no | — |
| 1238 | C33 | — | 16 | 1 | no | Sylow |
| 1239 | C23×C3 | — | 6 | 1 | no | — |
| 1240 | C23×C3 | — | 9 | 1 | no | — |
| 1241 | C23×C3 | — | 18 | 2 | no | — |
| 1242 | C23×C3 | — | 18 | 1 | no | — |
| 1243 | C23×C3 | — | 18 | 2 | no | — |
| 1244 | C23×C3 | — | 18 | 1 | no | — |
| 1245 | C23×C3 | — | 18 | 1 | no | — |
| 1246 | C23×C3 | — | 24 | 2 | no | — |
| 1247 | C23×C3 | — | 36 | 1 | no | — |
| 1248 | C23×C3 | — | 36 | 2 | no | — |
| 1249 | C23×C3 | — | 36 | 1 | no | — |
| 1250 | C23×C3 | — | 36 | 1 | no | — |
| 1251 | C23×C3 | — | 36 | 1 | no | — |
| 1252 | C23×C3 | — | 72 | 2 | no | — |
| 1253 | C23×C3 | — | 144 | 2 | no | — |
| 1254 | C22×D3 | — | 24 | 2 | no | — |
| 1255 | C22×D3 | — | 24 | 2 | no | — |
| 1256 | C22×D3 | — | 24 | 2 | no | — |
| 1257 | C22×D3 | — | 96 | 1 | no | — |
| 1258 | C2×A4 | — | 24 | 1 | no | — |
| 1259 | C2×A4 | — | 24 | 2 | no | — |
| 1260 | C2×A4 | — | 48 | 1 | no | — |
| 1261 | C2×A4 | — | 48 | 2 | no | — |
| 1262 | S4 | — | 24 | 2 | no | — |
| 1263 | S4 | — | 24 | 2 | no | — |
| 1264 | C3×Q8 | — | 3 | 2 | no | — |
| 1265 | C3×Q8 | — | 3 | 2 | no | — |
| 1266 | C3×Q8 | — | 4 | 2 | no | — |
| 1267 | C3×Q8 | — | 8 | 2 | no | — |
| 1268 | C3×Q8 | — | 9 | 2 | no | — |
| 1269 | C3×Q8 | — | 12 | 2 | no | — |
| 1270 | C3×Q8 | — | 12 | 2 | no | — |
| 1271 | C3×Q8 | — | 18 | 2 | no | — |
| 1272 | C3×Q8 | — | 18 | 2 | no | — |
| 1273 | C3×Q8 | — | 24 | 2 | no | — |
| 1274 | C3×Q8 | — | 24 | 2 | no | — |
| 1275 | C3×Q8 | C2×D3×S4 | 1 | 2 | yes | — |
| 1276 | C3×D4 | — | 3 | 2 | no | — |
| 1277 | C3×D4 | — | 6 | 2 | no | — |
| 1278 | C3×D4 | — | 9 | 2 | no | — |
| 1279 | C3×D4 | — | 9 | 2 | no | — |
| 1280 | C3×D4 | — | 9 | 2 | no | — |
| 1281 | C3×D4 | — | 12 | 2 | no | — |
| 1282 | C3×D4 | — | 18 | 2 | no | — |
| 1283 | C3×D4 | — | 18 | 2 | no | — |
| 1284 | C3×D4 | — | 18 | 2 | no | — |
| 1285 | C3×D4 | — | 18 | 2 | no | — |
| 1286 | C3×D4 | — | 18 | 2 | no | — |
| 1287 | C3×D4 | — | 18 | 2 | no | — |
| 1288 | C3×D4 | — | 18 | 2 | no | — |
| 1289 | C3×D4 | — | 18 | 2 | no | — |
| 1290 | C3×D4 | — | 24 | 2 | no | — |
| 1291 | C3×D4 | — | 24 | 2 | no | — |
| 1292 | C3×D4 | — | 36 | 2 | no | — |
| 1293 | C3×D4 | — | 36 | 2 | no | — |
| 1294 | C3×D4 | — | 36 | 2 | no | — |
| 1295 | C3×D4 | — | 36 | 2 | no | — |
| 1296 | C3×D4 | — | 36 | 2 | no | — |
| 1297 | C3×D4 | — | 36 | 2 | no | — |
| 1298 | C3×D4 | — | 48 | 2 | no | — |
| 1299 | C3×D4 | — | 72 | 2 | no | — |
| 1300 | C3×D4 | — | 72 | 2 | no | — |
| 1301 | C3×D4 | — | 72 | 2 | no | — |
| 1302 | C3×D4 | — | 72 | 2 | no | — |
| 1303 | C3×D4 | — | 72 | 2 | no | — |
| 1304 | C2×C3×C4 | — | 3 | 2 | no | — |
| 1305 | C2×C3×C4 | — | 6 | 2 | no | — |
| 1306 | C2×C3×C4 | — | 9 | 1 | no | — |
| 1307 | C2×C3×C4 | — | 9 | 1 | no | — |
| 1308 | C2×C3×C4 | — | 9 | 2 | no | — |
| 1309 | C2×C3×C4 | — | 12 | 2 | no | — |
| 1310 | C2×C3×C4 | — | 18 | 2 | no | — |
| 1311 | C2×C3×C4 | — | 18 | 2 | no | — |
| 1312 | C2×C3×C4 | — | 18 | 2 | no | — |
| 1313 | C2×C3×C4 | — | 18 | 2 | no | — |
| 1314 | C2×C3×C4 | — | 18 | 1 | no | — |
| 1315 | C2×C3×C4 | — | 18 | 2 | no | — |
| 1316 | C2×C3×C4 | — | 18 | 1 | no | — |
| 1317 | C2×C3×C4 | — | 24 | 2 | no | — |
| 1318 | C2×C3×C4 | — | 24 | 2 | no | — |
| 1319 | C2×C3×C4 | — | 36 | 2 | no | — |
| 1320 | C2×C3×C4 | — | 36 | 1 | no | — |
| 1321 | C2×C3×C4 | — | 36 | 2 | no | — |
| 1322 | C2×C3×C4 | — | 36 | 1 | no | — |
| 1323 | C2×C3×C4 | — | 36 | 2 | no | — |
| 1324 | C2×C3×C4 | — | 48 | 2 | no | — |
| 1325 | #67 | — | 4 | 2 | no | — |
| 1326 | #67 | — | 12 | 2 | no | — |
| 1327 | #67 | — | 24 | 2 | no | — |
| 1328 | #67 | — | 24 | 2 | no | — |
| 1329 | D12 | — | 12 | 2 | no | — |
| 1330 | D12 | — | 12 | 2 | no | — |
| 1331 | D12 | — | 12 | 2 | no | — |
| 1332 | D12 | — | 12 | 2 | no | — |
| 1333 | D12 | — | 24 | 2 | no | — |
| 1334 | D12 | — | 24 | 2 | no | — |
| 1335 | D12 | — | 24 | 2 | no | — |
| 1336 | C4×D3 | — | 12 | 2 | no | — |
| 1337 | C4×D3 | — | 12 | 2 | no | — |
| 1338 | C4×D3 | — | 24 | 2 | no | — |
| 1339 | C4×D3 | — | 24 | 2 | no | — |
| 1340 | C4×D3 | — | 24 | 2 | no | — |
| 1341 | Dic6 | — | 12 | 2 | no | — |
| 1342 | Dic6 | — | 12 | 2 | no | — |
| 1343 | SL(2,𝔽3) | — | 2 | 2 | no | — |
| 1344 | SL(2,𝔽3) | — | 8 | 2 | no | — |
| 1345 | SL(2,𝔽3) | — | 16 | 2 | no | — |
| 1346 | SL(2,𝔽3) | C22×C3×S4 | 1 | 2 | yes | — |
| 1347 | C3×C8 | — | 3 | 2 | no | — |
| 1348 | C3×C8 | — | 3 | 2 | no | — |
| 1349 | C3×C8 | — | 9 | 2 | no | — |
| 1350 | C3×C8 | — | 9 | 2 | no | — |
| 1351 | C3×C8 | — | 12 | 2 | no | — |
| 1352 | C3×C8 | — | 12 | 2 | no | — |
| 1353 | C3×C8 | — | 18 | 2 | no | — |
| 1354 | C3×C8 | — | 18 | 2 | no | — |
| 1355 | C3×C8 | — | 24 | 2 | no | — |
| 1356 | C3×C8 | — | 24 | 2 | no | — |
| 1357 | C3⋊C8 | — | 12 | 2 | no | — |
| 1358 | C3⋊C8 | — | 12 | 2 | no | — |
| 1359 | C2×C32 | — | 4 | 2 | no | — |
| 1360 | C2×C32 | — | 8 | 2 | no | — |
| 1361 | C2×C32 | — | 16 | 1 | no | — |
| 1362 | C2×C32 | — | 32 | 2 | no | — |
| 1363 | C2×C32 | — | 32 | 2 | no | — |
| 1364 | C2×C32 | — | 32 | 1 | no | — |
| 1365 | C2×C32 | — | 32 | 1 | no | — |
| 1366 | C2×C32 | — | 48 | 2 | no | — |
| 1367 | C2×C32 | — | 64 | 1 | no | — |
| 1368 | C2×C32 | — | 64 | 2 | no | — |
| 1369 | C2×C32 | — | 64 | 2 | no | — |
| 1370 | C3⋊D3 | — | 16 | 2 | no | — |
| 1371 | C3⋊D3 | — | 32 | 1 | no | — |
| 1372 | C3×D3 | — | 8 | 2 | no | — |
| 1373 | C3×D3 | — | 24 | 2 | no | — |
| 1374 | C3×D3 | — | 32 | 2 | no | — |
| 1375 | C3×D3 | — | 48 | 2 | no | — |
| 1376 | C3×D3 | — | 48 | 2 | no | — |
| 1377 | C3×D3 | — | 64 | 2 | no | — |
| 1378 | C3×D3 | — | 96 | 2 | no | — |
| 1379 | C3×D3 | — | 96 | 2 | no | — |
| 1380 | C24 | — | 6 | 1 | no | — |
| 1381 | C24 | — | 18 | 1 | no | — |
| 1382 | C24 | — | 36 | 1 | no | — |
| 1383 | #41 | — | 3 | 2 | no | — |
| 1384 | #41 | — | 3 | 2 | no | — |
| 1385 | #41 | — | 3 | 2 | no | — |
| 1386 | #41 | — | 6 | 2 | no | — |
| 1387 | #41 | — | 9 | 2 | no | — |
| 1388 | #41 | — | 9 | 2 | no | — |
| 1389 | #41 | — | 9 | 2 | no | — |
| 1390 | #41 | — | 9 | 2 | no | — |
| 1391 | #41 | — | 9 | 2 | no | — |
| 1392 | #41 | — | 18 | 2 | no | — |
| 1393 | #41 | — | 18 | 2 | no | — |
| 1394 | #41 | — | 18 | 2 | no | — |
| 1395 | #41 | — | 18 | 2 | no | — |
| 1396 | #41 | — | 18 | 2 | no | — |
| 1397 | #41 | — | 18 | 2 | no | — |
| 1398 | #41 | — | 18 | 2 | no | — |
| 1399 | #41 | — | 18 | 2 | no | — |
| 1400 | #41 | — | 18 | 2 | no | — |
| 1401 | #41 | — | 18 | 2 | no | — |
| 1402 | #41 | — | 18 | 2 | no | — |
| 1403 | #41 | — | 18 | 2 | no | — |
| 1404 | #41 | — | 36 | 2 | no | — |
| 1405 | #41 | — | 36 | 2 | no | — |
| 1406 | #41 | — | 36 | 2 | no | — |
| 1407 | C2×Q8 | — | 6 | 2 | no | — |
| 1408 | C2×Q8 | — | 9 | 2 | no | — |
| 1409 | C2×Q8 | — | 9 | 2 | no | — |
| 1410 | C2×Q8 | — | 18 | 2 | no | — |
| 1411 | C2×Q8 | C3×D3×S4 | 1 | 2 | yes | — |
| 1412 | C2×D4 | — | 9 | 2 | no | — |
| 1413 | C2×D4 | — | 9 | 2 | no | — |
| 1414 | C2×D4 | — | 9 | 1 | no | — |
| 1415 | C2×D4 | — | 9 | 1 | no | — |
| 1416 | C2×D4 | — | 9 | 2 | no | — |
| 1417 | C2×D4 | — | 9 | 1 | no | — |
| 1418 | C2×D4 | — | 9 | 1 | no | — |
| 1419 | C2×D4 | — | 18 | 2 | no | — |
| 1420 | C2×D4 | — | 18 | 2 | no | — |
| 1421 | C2×D4 | — | 18 | 2 | no | — |
| 1422 | C2×D4 | — | 18 | 1 | no | — |
| 1423 | C2×D4 | — | 18 | 1 | no | — |
| 1424 | C2×D4 | — | 18 | 2 | no | — |
| 1425 | C2×D4 | — | 18 | 2 | no | — |
| 1426 | C2×D4 | — | 18 | 2 | no | — |
| 1427 | C2×D4 | — | 18 | 2 | no | — |
| 1428 | C2×D4 | — | 18 | 2 | no | — |
| 1429 | C2×D4 | — | 18 | 2 | no | — |
| 1430 | C2×D4 | — | 18 | 2 | no | — |
| 1431 | C2×D4 | — | 18 | 2 | no | — |
| 1432 | C2×D4 | — | 36 | 2 | no | — |
| 1433 | C2×D4 | — | 36 | 2 | no | — |
| 1434 | C2×D4 | — | 36 | 2 | no | — |
| 1435 | C2×D4 | — | 36 | 1 | no | — |
| 1436 | C2×D4 | — | 36 | 1 | no | — |
| 1437 | C2×D4 | — | 36 | 1 | no | — |
| 1438 | C2×D4 | — | 36 | 1 | no | — |
| 1439 | C2×D4 | — | 36 | 1 | no | — |
| 1440 | C2×D4 | — | 36 | 1 | no | — |
| 1441 | C2×D4 | — | 36 | 2 | no | — |
| 1442 | C2×D4 | — | 36 | 2 | no | — |
| 1443 | C2×D4 | — | 36 | 1 | no | — |
| 1444 | C2×D4 | — | 36 | 2 | no | — |
| 1445 | C2×D4 | — | 36 | 1 | no | — |
| 1446 | C2×D4 | — | 36 | 1 | no | — |
| 1447 | C2×D4 | — | 72 | 4 | no | — |
| 1448 | C22×C4 | — | 9 | 1 | no | — |
| 1449 | C22×C4 | — | 18 | 2 | no | — |
| 1450 | C22×C4 | — | 18 | 2 | no | — |
| 1451 | C22×C4 | — | 18 | 1 | no | — |
| 1452 | C22×C4 | — | 36 | 1 | no | — |
| 1453 | Q16 | — | 3 | 2 | no | — |
| 1454 | Q16 | — | 3 | 2 | no | — |
| 1455 | Q16 | — | 9 | 2 | no | — |
| 1456 | Q16 | — | 9 | 2 | no | — |
| 1457 | Q16 | — | 18 | 2 | no | — |
| 1458 | Q16 | — | 18 | 2 | no | — |
| 1459 | SD16 | — | 3 | 2 | no | — |
| 1460 | SD16 | — | 3 | 2 | no | — |
| 1461 | SD16 | — | 9 | 2 | no | — |
| 1462 | SD16 | — | 9 | 2 | no | — |
| 1463 | SD16 | — | 9 | 2 | no | — |
| 1464 | SD16 | — | 9 | 2 | no | — |
| 1465 | SD16 | — | 9 | 2 | no | — |
| 1466 | SD16 | — | 9 | 2 | no | — |
| 1467 | SD16 | — | 18 | 2 | no | — |
| 1468 | SD16 | — | 18 | 2 | no | — |
| 1469 | SD16 | — | 18 | 2 | no | — |
| 1470 | SD16 | — | 18 | 2 | no | — |
| 1471 | SD16 | — | 18 | 2 | no | — |
| 1472 | SD16 | — | 18 | 2 | no | — |
| 1473 | SD16 | — | 18 | 2 | no | — |
| 1474 | SD16 | — | 18 | 2 | no | — |
| 1475 | SD16 | — | 18 | 2 | no | — |
| 1476 | SD16 | — | 18 | 2 | no | — |
| 1477 | SD16 | — | 18 | 2 | no | — |
| 1478 | SD16 | — | 18 | 2 | no | — |
| 1479 | SD16 | — | 18 | 2 | no | — |
| 1480 | SD16 | — | 18 | 2 | no | — |
| 1481 | D8 | — | 9 | 2 | no | — |
| 1482 | D8 | — | 9 | 2 | no | — |
| 1483 | D8 | — | 9 | 2 | no | — |
| 1484 | D8 | — | 9 | 2 | no | — |
| 1485 | D8 | — | 18 | 2 | no | — |
| 1486 | D8 | — | 18 | 2 | no | — |
| 1487 | D8 | — | 18 | 2 | no | — |
| 1488 | D8 | — | 18 | 2 | no | — |
| 1489 | D8 | — | 18 | 2 | no | — |
| 1490 | D8 | — | 18 | 2 | no | — |
| 1491 | D8 | — | 18 | 2 | no | — |
| 1492 | D8 | — | 18 | 2 | no | — |
| 1493 | D8 | — | 18 | 2 | no | — |
| 1494 | D8 | — | 18 | 2 | no | — |
| 1495 | D8 | — | 18 | 2 | no | — |
| 1496 | D8 | — | 18 | 2 | no | — |
| 1497 | M16 | — | 3 | 2 | no | — |
| 1498 | M16 | — | 9 | 2 | no | — |
| 1499 | M16 | — | 9 | 2 | no | — |
| 1500 | M16 | — | 9 | 2 | no | — |
| 1501 | M16 | — | 9 | 2 | no | — |
| 1502 | M16 | — | 9 | 2 | no | — |
| 1503 | M16 | — | 9 | 2 | no | — |
| 1504 | M16 | — | 9 | 2 | no | — |
| 1505 | M16 | — | 18 | 2 | no | — |
| 1506 | M16 | — | 18 | 2 | no | — |
| 1507 | M16 | — | 18 | 2 | no | — |
| 1508 | M16 | — | 18 | 2 | no | — |
| 1509 | M16 | — | 18 | 2 | no | — |
| 1510 | C2×C8 | — | 9 | 2 | no | — |
| 1511 | C2×C8 | — | 9 | 2 | no | — |
| 1512 | C2×C8 | — | 18 | 2 | no | — |
| 1513 | C2×C8 | — | 18 | 2 | no | — |
| 1514 | C2×C8 | — | 18 | 2 | no | — |
| 1515 | C2×C8 | — | 18 | 2 | no | — |
| 1516 | C2×C8 | — | 18 | 2 | no | — |
| 1517 | C2×C8 | — | 18 | 2 | no | — |
| 1518 | C4⋊C4 | — | 36 | 1 | no | — |
| 1519 | C22⋊C4 | — | 36 | 2 | no | — |
| 1520 | C42 | — | 9 | 1 | no | — |
| 1521 | C42 | — | 9 | 1 | no | — |
| 1522 | C42 | — | 18 | 1 | no | — |
| 1523 | C22×C3 | — | 4 | 2 | no | — |
| 1524 | C22×C3 | — | 6 | 2 | no | — |
| 1525 | C22×C3 | — | 8 | 2 | no | — |
| 1526 | C22×C3 | — | 9 | 1 | no | — |
| 1527 | C22×C3 | — | 9 | 1 | no | — |
| 1528 | C22×C3 | — | 18 | 2 | no | — |
| 1529 | C22×C3 | — | 24 | 2 | no | — |
| 1530 | C22×C3 | — | 24 | 1 | no | — |
| 1531 | C22×C3 | — | 32 | 1 | no | — |
| 1532 | C22×C3 | — | 36 | 1 | no | — |
| 1533 | C22×C3 | — | 36 | 1 | no | — |
| 1534 | C22×C3 | — | 36 | 1 | no | — |
| 1535 | C22×C3 | — | 48 | 2 | no | — |
| 1536 | C22×C3 | — | 64 | 1 | no | — |
| 1537 | C22×C3 | — | 72 | 2 | no | — |
| 1538 | C22×C3 | — | 72 | 1 | no | — |
| 1539 | C22×C3 | — | 72 | 2 | no | — |
| 1540 | C22×C3 | — | 72 | 1 | no | — |
| 1541 | C22×C3 | — | 72 | 1 | no | — |
| 1542 | C22×C3 | — | 72 | 2 | no | — |
| 1543 | C22×C3 | — | 144 | 1 | no | — |
| 1544 | C22×C3 | — | 144 | 1 | no | — |
| 1545 | C22×C3 | — | 144 | 2 | no | — |
| 1546 | C22×C3 | — | 144 | 1 | no | — |
| 1547 | C22×C3 | S42 | 1 | 1 | yes | characteristic |
| 1548 | C2×D3 | — | 4 | 2 | no | — |
| 1549 | C2×D3 | — | 12 | 2 | no | — |
| 1550 | C2×D3 | — | 24 | 2 | no | — |
| 1551 | C2×D3 | — | 24 | 2 | no | — |
| 1552 | C2×D3 | — | 96 | 1 | no | — |
| 1553 | C2×D3 | — | 96 | 1 | no | — |
| 1554 | C2×D3 | — | 96 | 2 | no | — |
| 1555 | C2×D3 | — | 96 | 2 | no | — |
| 1556 | C2×D3 | — | 96 | 2 | no | — |
| 1557 | C2×D3 | — | 96 | 4 | no | — |
| 1558 | A4 | — | 24 | 1 | no | — |
| 1559 | A4 | — | 48 | 1 | no | — |
| 1560 | C3×C4 | — | 3 | 2 | no | — |
| 1561 | C3×C4 | — | 3 | 2 | no | — |
| 1562 | C3×C4 | — | 6 | 2 | no | — |
| 1563 | C3×C4 | — | 12 | 2 | no | — |
| 1564 | C3×C4 | — | 12 | 2 | no | — |
| 1565 | C3×C4 | — | 18 | 2 | no | — |
| 1566 | C3×C4 | — | 18 | 2 | no | — |
| 1567 | C3×C4 | — | 24 | 2 | no | — |
| 1568 | C3×C4 | — | 24 | 2 | no | — |
| 1569 | C3×C4 | — | 24 | 2 | no | — |
| 1570 | C3×C4 | — | 36 | 1 | no | — |
| 1571 | C3×C4 | — | 48 | 2 | no | — |
| 1572 | Dic3 | — | 4 | 2 | no | — |
| 1573 | Dic3 | — | 12 | 2 | no | — |
| 1574 | C32 | — | 4 | 2 | no | — |
| 1575 | C32 | — | 16 | 1 | no | — |
| 1576 | C32 | — | 32 | 2 | no | — |
| 1577 | C32 | — | 32 | 1 | no | — |
| 1578 | C32 | — | 64 | 1 | no | — |
| 1579 | C23 | — | 6 | 1 | no | — |
| 1580 | C23 | — | 9 | 1 | no | — |
| 1581 | C23 | — | 18 | 2 | no | — |
| 1582 | C23 | — | 18 | 1 | no | — |
| 1583 | C23 | — | 18 | 2 | no | — |
| 1584 | C23 | — | 18 | 1 | no | — |
| 1585 | C23 | — | 18 | 1 | no | — |
| 1586 | C23 | — | 24 | 2 | no | — |
| 1587 | C23 | — | 36 | 1 | no | — |
| 1588 | C23 | — | 36 | 2 | no | — |
| 1589 | C23 | — | 36 | 1 | no | — |
| 1590 | C23 | — | 36 | 1 | no | — |
| 1591 | C23 | — | 36 | 1 | no | — |
| 1592 | C23 | — | 72 | 2 | no | — |
| 1593 | C23 | — | 144 | 2 | no | — |
| 1594 | Q8 | — | 3 | 2 | no | — |
| 1595 | Q8 | — | 3 | 2 | no | — |
| 1596 | Q8 | — | 9 | 2 | no | — |
| 1597 | Q8 | — | 18 | 2 | no | — |
| 1598 | Q8 | — | 18 | 2 | no | — |
| 1599 | Q8 | C2×C3×D3×S4 | 1 | 2 | yes | — |
| 1600 | D4 | — | 3 | 2 | no | — |
| 1601 | D4 | — | 6 | 2 | no | — |
| 1602 | D4 | — | 9 | 2 | no | — |
| 1603 | D4 | — | 9 | 2 | no | — |
| 1604 | D4 | — | 9 | 2 | no | — |
| 1605 | D4 | — | 18 | 2 | no | — |
| 1606 | D4 | — | 18 | 2 | no | — |
| 1607 | D4 | — | 18 | 2 | no | — |
| 1608 | D4 | — | 18 | 2 | no | — |
| 1609 | D4 | — | 18 | 2 | no | — |
| 1610 | D4 | — | 18 | 2 | no | — |
| 1611 | D4 | — | 18 | 2 | no | — |
| 1612 | D4 | — | 18 | 2 | no | — |
| 1613 | D4 | — | 36 | 2 | no | — |
| 1614 | D4 | — | 36 | 2 | no | — |
| 1615 | D4 | — | 36 | 2 | no | — |
| 1616 | D4 | — | 36 | 2 | no | — |
| 1617 | D4 | — | 36 | 2 | no | — |
| 1618 | D4 | — | 36 | 2 | no | — |
| 1619 | D4 | — | 72 | 2 | no | — |
| 1620 | D4 | — | 72 | 2 | no | — |
| 1621 | D4 | — | 72 | 2 | no | — |
| 1622 | D4 | — | 72 | 2 | no | — |
| 1623 | D4 | — | 72 | 2 | no | — |
| 1624 | C2×C4 | — | 3 | 2 | no | — |
| 1625 | C2×C4 | — | 6 | 2 | no | — |
| 1626 | C2×C4 | — | 9 | 1 | no | — |
| 1627 | C2×C4 | — | 9 | 1 | no | — |
| 1628 | C2×C4 | — | 9 | 2 | no | — |
| 1629 | C2×C4 | — | 18 | 2 | no | — |
| 1630 | C2×C4 | — | 18 | 2 | no | — |
| 1631 | C2×C4 | — | 18 | 2 | no | — |
| 1632 | C2×C4 | — | 18 | 2 | no | — |
| 1633 | C2×C4 | — | 18 | 1 | no | — |
| 1634 | C2×C4 | — | 18 | 2 | no | — |
| 1635 | C2×C4 | — | 18 | 1 | no | — |
| 1636 | C2×C4 | — | 36 | 2 | no | — |
| 1637 | C2×C4 | — | 36 | 1 | no | — |
| 1638 | C2×C4 | — | 36 | 2 | no | — |
| 1639 | C2×C4 | — | 36 | 1 | no | — |
| 1640 | C2×C4 | — | 36 | 2 | no | — |
| 1641 | C8 | — | 3 | 2 | no | — |
| 1642 | C8 | — | 3 | 2 | no | — |
| 1643 | C8 | — | 9 | 2 | no | — |
| 1644 | C8 | — | 9 | 2 | no | — |
| 1645 | C8 | — | 18 | 2 | no | — |
| 1646 | C8 | — | 18 | 2 | no | — |
| 1647 | C2×C3 | — | 2 | 1 | no | — |
| 1648 | C2×C3 | — | 4 | 2 | no | — |
| 1649 | C2×C3 | — | 8 | 2 | no | — |
| 1650 | C2×C3 | — | 8 | 2 | no | — |
| 1651 | C2×C3 | — | 12 | 2 | no | — |
| 1652 | C2×C3 | — | 16 | 2 | no | — |
| 1653 | C2×C3 | — | 18 | 1 | no | — |
| 1654 | C2×C3 | — | 18 | 1 | no | — |
| 1655 | C2×C3 | — | 32 | 2 | no | — |
| 1656 | C2×C3 | — | 32 | 1 | no | — |
| 1657 | C2×C3 | — | 36 | 2 | no | — |
| 1658 | C2×C3 | — | 48 | 2 | no | — |
| 1659 | C2×C3 | — | 64 | 2 | no | — |
| 1660 | C2×C3 | — | 64 | 1 | no | — |
| 1661 | C2×C3 | — | 72 | 1 | no | — |
| 1662 | C2×C3 | — | 72 | 1 | no | — |
| 1663 | C2×C3 | — | 96 | 2 | no | — |
| 1664 | C2×C3 | C2×S42 | 1 | 1 | yes | characteristic |
| 1665 | D3 | — | 8 | 2 | no | — |
| 1666 | D3 | — | 24 | 2 | no | — |
| 1667 | D3 | — | 48 | 2 | no | — |
| 1668 | D3 | — | 48 | 2 | no | — |
| 1669 | D3 | — | 96 | 2 | no | — |
| 1670 | D3 | — | 96 | 2 | no | — |
| 1671 | C22 | — | 6 | 2 | no | — |
| 1672 | C22 | — | 9 | 1 | no | — |
| 1673 | C22 | — | 9 | 1 | no | — |
| 1674 | C22 | — | 18 | 2 | no | — |
| 1675 | C22 | — | 24 | 1 | no | — |
| 1676 | C22 | — | 36 | 1 | no | — |
| 1677 | C22 | — | 36 | 1 | no | — |
| 1678 | C22 | — | 36 | 1 | no | — |
| 1679 | C22 | — | 72 | 2 | no | — |
| 1680 | C22 | — | 72 | 1 | no | — |
| 1681 | C22 | — | 72 | 2 | no | — |
| 1682 | C22 | — | 72 | 1 | no | — |
| 1683 | C22 | — | 72 | 1 | no | — |
| 1684 | C22 | — | 72 | 2 | no | — |
| 1685 | C22 | — | 144 | 1 | no | — |
| 1686 | C22 | — | 144 | 1 | no | — |
| 1687 | C22 | — | 144 | 2 | no | — |
| 1688 | C22 | — | 144 | 1 | no | — |
| 1689 | C22 | C3×S42 | 1 | 1 | yes | characteristic |
| 1690 | C4 | — | 3 | 2 | no | — |
| 1691 | C4 | — | 3 | 2 | no | — |
| 1692 | C4 | — | 6 | 2 | no | — |
| 1693 | C4 | — | 18 | 2 | no | — |
| 1694 | C4 | — | 18 | 2 | no | — |
| 1695 | C4 | — | 36 | 1 | no | — |
| 1696 | C3 | — | 4 | 2 | no | — |
| 1697 | C3 | — | 8 | 2 | no | — |
| 1698 | C3 | — | 32 | 1 | no | — |
| 1699 | C3 | — | 64 | 1 | no | — |
| 1700 | C3 | #72215280 | 1 | 1 | yes | characteristic, direct product factor |
| 1701 | C2 | — | 2 | 1 | no | — |
| 1702 | C2 | — | 12 | 2 | no | — |
| 1703 | C2 | — | 18 | 1 | no | — |
| 1704 | C2 | — | 18 | 1 | no | — |
| 1705 | C2 | — | 36 | 2 | no | — |
| 1706 | C2 | — | 72 | 1 | no | — |
| 1707 | C2 | — | 72 | 1 | no | — |
| 1708 | C2 | C2×C3×S42 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2×C3 | C2×S42 |
| commutator, cosocle, hypocenter | Ω+(4,𝔽3) | C23×C3 |
| Frattini | C2 | C2×C3×S42 |
| Fitting | C2×C3×H(5,𝔽2) | D32 |
| hypercenter | C22×C3 | S42 |
| LCS | G ▷ Ω+(4,𝔽3) | |
| UCS | C1 ◁ C2×C3 ◁ C22×C3 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C3×#11923456 | C2 | semidirect |
| 3. C3×#11923454 | C2 | semidirect |
| 4. C3×#11923452 | C2 | semidirect |
| 5. C3×#983⋊A4 | C2 | semidirect |
| 6. C2×C3×SO+(4,𝔽3) | C2 | semidirect |
| 7. #72215280 | C3 | direct (N × H) |
| 8. C2×C3×Ω+(4,𝔽3) | C22 | semidirect |
| 10. C3×SO+(4,𝔽3) | C22 | semidirect |
| 11. C3×SO+(4,𝔽3) | C22 | semidirect |
| 12. C3×GL(2,𝔽3)⋊A4 | C22 | semidirect |
| 13. C3×#226⋊A4 | C22 | semidirect |
| 16. C3×#87493 | D3 | semidirect |
| 17. C2×SO+(4,𝔽3) | C2×C3 | semidirect |
| 19. #983⋊A4 | C2×C3 | semidirect |
| 20. #11923456 | C2×C3 | semidirect |
| 21. #11923454 | C2×C3 | semidirect |
| 22. #11923452 | C2×C3 | semidirect |
| 39. C3×Ω+(4,𝔽3) | C23 | semidirect |
| 48. C2×C3×#994 | C2×D3 | semidirect |
| 58. C3×#5925 | C2×D3 | semidirect |
| 60. C3×#5924 | C2×D3 | semidirect |
| 68. C2×Ω+(4,𝔽3) | C22×C3 | semidirect |
| 70. SO+(4,𝔽3) | C22×C3 | semidirect |
| 71. SO+(4,𝔽3) | C22×C3 | semidirect |
| 73. GL(2,𝔽3)⋊A4 | C22×C3 | semidirect |
| 75. #226⋊A4 | C22×C3 | semidirect |
| 109. #87493 | C3×D3 | semidirect |
| 176. C3×#983 | S4 | semidirect |
| 183. Ω+(4,𝔽3) | C23×C3 | semidirect |
| 214. C2×C3×H(5,𝔽2) | D32 | semidirect |
| 220. C2×#994 | C2×C3×D3 | semidirect |
| 230. #5925 | C2×C3×D3 | semidirect |
| 232. #5924 | C2×C3×D3 | semidirect |
| 403. C3×GL(2,𝔽3) | C2×S4 | semidirect |
| 407. C3×#226 | C2×S4 | semidirect |
| 518. #983 | C3×S4 | semidirect |
| 732. C2×H(5,𝔽2) | C3×D32 | semidirect |
| 944. GL(2,𝔽3) | C2×C3×S4 | semidirect |
| 946. #226 | C2×C3×S4 | semidirect |
| 1700. C3 | #72215280 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#11715001 | 3 |
| C3×#11923456 | 2 |
| C3×#11923454 | 2 |
| C3×#11923452 | 2 |
| C3×#983⋊A4 | 2 |
| C2×C3×SO+(4,𝔽3) | 2 |
| #72215280 | 3 |
| C3×#10596446 | 4 |