← C2×D32×H(5,𝔽2) #72243992
Subgroups — C2×D32×H(5,𝔽2) #72243992
Order 2304.
134732 conjugacy classes of subgroups.
The subgroup lattice has 1102 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×#10596692 | C2 | 1 | 6 | yes | maximal, complemented |
| 2 | C2×D3×#1009 | C2 | 1 | 12 | yes | maximal, complemented |
| 3 | C2×#10596675 | C2 | 1 | 9 | yes | maximal, complemented |
| 4 | C2×D3×#1004 | C2 | 1 | 18 | yes | maximal, complemented |
| 5 | D32×H(5,𝔽2) | C2 | 1 | 64 | yes | maximal, direct product factor |
| 6 | C2×C3×D3×H(5,𝔽2) | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C2×C3⋊D3×H(5,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×D32×#41 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | C22×D32×D4 | C2 | 1 | 9 | yes | maximal, complemented |
| 10 | C22×D3×H(5,𝔽2) | — | 3 | 2 | no | maximal |
| 11 | C24×D32 | C22 | 1 | 6 | yes | complemented |
| 12 | C2×C32×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | C3⋊D3×H(5,𝔽2) | C22 | 1 | 32 | yes | complemented |
| 14 | C2×#64366 | C22 | 1 | 6 | yes | complemented |
| 15 | C2×#41×C3⋊D3 | C22 | 1 | 6 | yes | complemented |
| 16 | C2×#64361 | C22 | 1 | 9 | yes | complemented |
| 17 | C22×D4×C3⋊D3 | C22 | 1 | 9 | yes | complemented |
| 18 | C3×D3×H(5,𝔽2) | C22 | 1 | 64 | yes | complemented |
| 19 | C2×C3×#1009 | C22 | 1 | 12 | yes | complemented |
| 20 | C2×C3×D3×#41 | C22 | 1 | 12 | yes | complemented |
| 21 | C2×C3×#1004 | C22 | 1 | 18 | yes | complemented |
| 22 | C22×C3×D3×D4 | C22 | 1 | 18 | yes | complemented |
| 23 | C2×#64330 | C22 | 1 | 36 | yes | complemented |
| 24 | C22×#3811 | C22 | 1 | 18 | yes | complemented |
| 25 | C22×D3×#67 | C22 | 1 | 36 | yes | complemented |
| 26 | #10596692 | C22 | 1 | 192 | yes | complemented |
| 27 | D3×#1009 | C22 | 1 | 384 | yes | complemented |
| 28 | D32×#41 | C22 | 1 | 192 | yes | complemented |
| 29 | C2×#64320 | C22 | 1 | 12 | yes | complemented |
| 30 | C2×#64319 | C22 | 1 | 6 | yes | complemented |
| 31 | C2×D3×#239 | C22 | 1 | 12 | yes | complemented |
| 32 | C2×D32×Q8 | C22 | 1 | 2 | yes | complemented |
| 33 | C2×#64314 | C22 | 1 | 72 | yes | complemented |
| 34 | C2×#64313 | C22 | 1 | 36 | yes | complemented |
| 35 | #10596675 | C22 | 1 | 288 | yes | complemented |
| 36 | D3×#1004 | C22 | 1 | 576 | yes | complemented |
| 37 | C2×#64312 | C22 | 1 | 18 | yes | complemented |
| 38 | C2×D3×#237 | C22 | 1 | 36 | yes | complemented |
| 39 | C2×D32×D4 | C22 | 1 | 18 | yes | complemented |
| 40 | C2×D32×D4 | C22 | 1 | 288 | yes | complemented |
| 41 | C2×D32×D4 | C22 | 1 | 72 | yes | complemented |
| 42 | C2×D32×D4 | C22 | 1 | 36 | yes | complemented |
| 43 | C2×#64308 | C22 | 1 | 18 | yes | complemented |
| 44 | C2×#64307 | C22 | 1 | 36 | yes | complemented |
| 45 | C2×#64306 | C22 | 1 | 18 | yes | complemented |
| 46 | C2×D3×#235 | C22 | 1 | 36 | yes | complemented |
| 47 | C22×#3802 | C22 | 1 | 9 | yes | complemented |
| 48 | C22×D3×D12 | C22 | 1 | 18 | yes | complemented |
| 49 | C22×C4×D32 | C22 | 1 | 9 | yes | complemented |
| 50 | C22×C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 51 | C2×D3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 52 | C2×D3×H(5,𝔽2) | — | 3 | 128 | no | — |
| 53 | C2×D3×H(5,𝔽2) | — | 3 | 12 | no | — |
| 54 | C2×D3×H(5,𝔽2) | — | 3 | 12 | no | — |
| 55 | C2×D3×H(5,𝔽2) | — | 3 | 18 | no | — |
| 56 | C2×D3×H(5,𝔽2) | — | 3 | 18 | no | — |
| 57 | C2×D3×H(5,𝔽2) | — | 6 | 1 | no | — |
| 58 | C2×D3×H(5,𝔽2) | D3 | 1 | 2 | yes | direct product factor |
| 59 | C22×#1009 | — | 3 | 12 | no | — |
| 60 | C22×D3×#41 | — | 3 | 12 | no | — |
| 61 | C22×#1004 | — | 3 | 18 | no | — |
| 62 | C23×D3×D4 | — | 3 | 18 | no | — |
| 63 | C24×C3⋊D3 | C23 | 1 | 6 | yes | complemented |
| 64 | C24×C3×D3 | C23 | 1 | 12 | yes | complemented |
| 65 | C23×D32 | — | 4 | 48 | no | — |
| 66 | C23×D32 | C23 | 1 | 9 | yes | — |
| 67 | C23×D32 | C23 | 1 | 96 | yes | complemented |
| 68 | C23×D32 | C23 | 1 | 36 | yes | complemented |
| 69 | C23×D32 | C23 | 1 | 18 | yes | complemented |
| 70 | C32×H(5,𝔽2) | C23 | 1 | 16 | yes | complemented |
| 71 | C2×C32×#41 | C23 | 1 | 6 | yes | complemented |
| 72 | C22×C32×D4 | C23 | 1 | 9 | yes | complemented |
| 73 | C22×#638 | C23 | 1 | 18 | yes | complemented |
| 74 | #64366 | C23 | 1 | 96 | yes | complemented |
| 75 | #41×C3⋊D3 | C23 | 1 | 96 | yes | complemented |
| 76 | C2×#3832 | C23 | 1 | 6 | yes | complemented |
| 77 | C2×Q8×C3⋊D3 | C23 | 1 | 2 | yes | complemented |
| 78 | #64361 | C23 | 1 | 144 | yes | complemented |
| 79 | C2×#3830 | C23 | 1 | 18 | yes | complemented |
| 80 | C2×D4×C3⋊D3 | C23 | 1 | 18 | yes | complemented |
| 81 | C2×D4×C3⋊D3 | C23 | 1 | 144 | yes | complemented |
| 82 | C2×D4×C3⋊D3 | C23 | 1 | 36 | yes | complemented |
| 83 | C2×#3828 | C23 | 1 | 18 | yes | complemented |
| 84 | C22×C4⋊(C3⋊D3) | C23 | 1 | 9 | yes | complemented |
| 85 | C22×C4×C3⋊D3 | C23 | 1 | 9 | yes | complemented |
| 86 | C22×C3×#67 | C23 | 1 | 36 | yes | complemented |
| 87 | C3×#1009 | C23 | 1 | 192 | yes | complemented |
| 88 | C3×D3×#41 | C23 | 1 | 192 | yes | complemented |
| 89 | C2×C3×#239 | C23 | 1 | 12 | yes | complemented |
| 90 | C2×C3×D3×Q8 | C23 | 1 | 4 | yes | complemented |
| 91 | C3×#1004 | C23 | 1 | 288 | yes | complemented |
| 92 | C2×C3×#237 | C23 | 1 | 36 | yes | complemented |
| 93 | C2×C3×D3×D4 | C23 | 1 | 36 | yes | complemented |
| 94 | C2×C3×D3×D4 | C23 | 1 | 288 | yes | complemented |
| 95 | C2×C3×D3×D4 | C23 | 1 | 72 | yes | complemented |
| 96 | C2×C3×#235 | C23 | 1 | 36 | yes | complemented |
| 97 | C22×C3×D12 | C23 | 1 | 18 | yes | complemented |
| 98 | C22×C3×C4×D3 | C23 | 1 | 18 | yes | complemented |
| 99 | #64330 | C23 | 1 | 576 | yes | complemented |
| 100 | C2×#3811 | C23 | 1 | 36 | yes | complemented |
| 101 | C2×#3811 | C23 | 1 | 72 | yes | complemented |
| 102 | C2×#3811 | C23 | 1 | 288 | yes | complemented |
| 103 | C2×D3×#67 | C23 | 1 | 72 | yes | complemented |
| 104 | C2×D3×#67 | C23 | 1 | 144 | yes | complemented |
| 105 | C2×D3×#67 | C23 | 1 | 576 | yes | complemented |
| 106 | C22×#626 | C23 | 1 | 36 | yes | complemented |
| 107 | C22×#625 | C23 | 1 | 18 | yes | complemented |
| 108 | C22×#624 | C23 | 1 | 9 | yes | complemented |
| 109 | C2×#3805 | C23 | 1 | 36 | yes | complemented |
| 110 | C2×#3804 | C23 | 1 | 72 | yes | complemented |
| 111 | C22×D3×Dic3 | C23 | 1 | 18 | yes | complemented |
| 112 | #64320 | C23 | 1 | 192 | yes | complemented |
| 113 | #64319 | C23 | 1 | 96 | yes | complemented |
| 114 | D3×#239 | C23 | 1 | 192 | yes | complemented |
| 115 | D32×Q8 | C23 | 1 | 32 | yes | complemented |
| 116 | #64314 | C23 | 1 | 1152 | yes | complemented |
| 117 | #64313 | C23 | 1 | 576 | yes | complemented |
| 118 | #64312 | C23 | 1 | 288 | yes | complemented |
| 119 | D3×#237 | C23 | 1 | 576 | yes | complemented |
| 120 | D32×D4 | C23 | 1 | 288 | yes | complemented |
| 121 | D32×D4 | C23 | 1 | 1152 | yes | complemented |
| 122 | D32×D4 | C23 | 1 | 576 | yes | complemented |
| 123 | #64308 | C23 | 1 | 288 | yes | complemented |
| 124 | #64307 | C23 | 1 | 576 | yes | complemented |
| 125 | #64306 | C23 | 1 | 288 | yes | complemented |
| 126 | D3×#235 | C23 | 1 | 576 | yes | complemented |
| 127 | C2×#3802 | C23 | 1 | 18 | yes | complemented |
| 128 | C2×#3802 | C23 | 1 | 36 | yes | complemented |
| 129 | C2×#3802 | C23 | 1 | 144 | yes | complemented |
| 130 | C2×D3×D12 | C23 | 1 | 36 | yes | complemented |
| 131 | C2×D3×D12 | C23 | 1 | 72 | yes | complemented |
| 132 | C2×D3×D12 | C23 | 1 | 288 | yes | complemented |
| 133 | C2×C4×D32 | C23 | 1 | 6 | yes | — |
| 134 | C2×C4×D32 | C23 | 1 | 144 | yes | complemented |
| 135 | C2×C4×D32 | C23 | 1 | 36 | yes | complemented |
| 136 | C2×C4×D32 | C23 | 1 | 18 | yes | complemented |
| 137 | C2×#3799 | C23 | 1 | 36 | yes | complemented |
| 138 | C2×#3798 | C23 | 1 | 36 | yes | complemented |
| 139 | C2×#3797 | C23 | 1 | 6 | yes | complemented |
| 140 | C2×#3796 | C23 | 1 | 36 | yes | complemented |
| 141 | C2×#3795 | C23 | 1 | 36 | yes | complemented |
| 142 | C2×D3×Dic6 | C23 | 1 | 12 | yes | complemented |
| 143 | C23×H(5,𝔽2) | — | 9 | 1 | no | Sylow |
| 144 | C25×D3 | — | 3 | 12 | no | — |
| 145 | C2×C3×H(5,𝔽2) | — | 2 | 1 | no | — |
| 146 | C2×C3×H(5,𝔽2) | — | 3 | 64 | no | — |
| 147 | C2×C3×H(5,𝔽2) | — | 3 | 12 | no | — |
| 148 | C2×C3×H(5,𝔽2) | — | 3 | 18 | no | — |
| 149 | C2×C3×H(5,𝔽2) | C2×D3 | 1 | 2 | yes | complemented |
| 150 | C22×C3×#41 | — | 3 | 12 | no | — |
| 151 | C23×C3×D4 | — | 3 | 18 | no | — |
| 152 | C23×#67 | — | 3 | 36 | no | — |
| 153 | D3×H(5,𝔽2) | — | 3 | 64 | no | — |
| 154 | D3×H(5,𝔽2) | — | 3 | 384 | no | — |
| 155 | D3×H(5,𝔽2) | — | 3 | 384 | no | — |
| 156 | D3×H(5,𝔽2) | — | 3 | 576 | no | — |
| 157 | D3×H(5,𝔽2) | — | 3 | 576 | no | — |
| 158 | D3×H(5,𝔽2) | — | 6 | 32 | no | — |
| 159 | D3×H(5,𝔽2) | C2×D3 | 1 | 64 | yes | direct product factor |
| 160 | C2×#1009 | — | 3 | 12 | no | — |
| 161 | C2×#1009 | — | 3 | 384 | no | — |
| 162 | C2×#1009 | — | 3 | 24 | no | — |
| 163 | C2×#1009 | — | 3 | 72 | no | — |
| 164 | C2×#1009 | — | 3 | 36 | no | — |
| 165 | C2×#1009 | — | 3 | 36 | no | — |
| 166 | C2×#1009 | — | 6 | 6 | no | — |
| 167 | C2×#1009 | C2×D3 | 1 | 12 | yes | complemented |
| 168 | C2×D3×#41 | — | 3 | 12 | no | — |
| 169 | C2×D3×#41 | — | 3 | 384 | no | — |
| 170 | C2×D3×#41 | — | 3 | 12 | no | — |
| 171 | C2×D3×#41 | — | 3 | 12 | no | — |
| 172 | C2×D3×#41 | — | 3 | 36 | no | — |
| 173 | C2×D3×#41 | — | 3 | 36 | no | — |
| 174 | C2×D3×#41 | — | 3 | 36 | no | — |
| 175 | C2×D3×#41 | — | 3 | 36 | no | — |
| 176 | C2×D3×#41 | — | 6 | 6 | no | — |
| 177 | C2×D3×#41 | C2×D3 | 1 | 12 | yes | complemented |
| 178 | C22×#239 | — | 3 | 12 | no | — |
| 179 | C22×D3×Q8 | — | 3 | 4 | no | — |
| 180 | C2×#1004 | — | 3 | 18 | no | — |
| 181 | C2×#1004 | — | 3 | 72 | no | — |
| 182 | C2×#1004 | — | 3 | 576 | no | — |
| 183 | C2×#1004 | — | 3 | 72 | no | — |
| 184 | C2×#1004 | — | 3 | 72 | no | — |
| 185 | C2×#1004 | — | 3 | 36 | no | — |
| 186 | C2×#1004 | — | 6 | 9 | no | — |
| 187 | C2×#1004 | C2×D3 | 1 | 18 | yes | complemented |
| 188 | C22×#237 | — | 3 | 36 | no | — |
| 189 | C22×D3×D4 | — | 3 | 36 | no | — |
| 190 | C22×D3×D4 | — | 3 | 18 | no | — |
| 191 | C22×D3×D4 | — | 3 | 36 | no | — |
| 192 | C22×D3×D4 | — | 3 | 36 | no | — |
| 193 | C22×D3×D4 | — | 3 | 72 | no | — |
| 194 | C22×D3×D4 | — | 3 | 72 | no | — |
| 195 | C22×D3×D4 | — | 3 | 72 | no | — |
| 196 | C22×D3×D4 | — | 3 | 576 | no | — |
| 197 | C22×D3×D4 | — | 3 | 18 | no | — |
| 198 | C22×D3×D4 | — | 3 | 18 | no | — |
| 199 | C22×D3×D4 | — | 6 | 9 | no | — |
| 200 | C22×D3×D4 | C2×D3 | 1 | 18 | yes | complemented |
| 201 | C22×#235 | — | 3 | 36 | no | — |
| 202 | C23×D12 | — | 3 | 18 | no | — |
| 203 | C23×C4×D3 | — | 3 | 18 | no | — |
| 204 | C24×C32 | C24 | 1 | 6 | yes | complemented |
| 205 | C23×C3⋊D3 | — | 4 | 24 | no | — |
| 206 | C23×C3⋊D3 | C24 | 1 | 9 | yes | — |
| 207 | C23×C3⋊D3 | C24 | 1 | 48 | yes | complemented |
| 208 | C23×C3⋊D3 | C24 | 1 | 18 | yes | complemented |
| 209 | C23×C3×D3 | — | 4 | 48 | no | — |
| 210 | C23×C3×D3 | C24 | 1 | 18 | yes | — |
| 211 | C23×C3×D3 | C24 | 1 | 96 | yes | complemented |
| 212 | C23×C3×D3 | C24 | 1 | 36 | yes | complemented |
| 213 | C22×D32 | — | 2 | 72 | no | — |
| 214 | C22×D32 | — | 4 | 384 | no | — |
| 215 | C22×D32 | — | 4 | 144 | no | — |
| 216 | C22×D32 | — | 4 | 72 | no | — |
| 217 | C22×D32 | C24 | 1 | 18 | yes | — |
| 218 | C22×D32 | C24 | 1 | 9 | yes | — |
| 219 | C22×D32 | C24 | 1 | 72 | yes | — |
| 220 | C22×D32 | C24 | 1 | 1 | yes | characteristic |
| 221 | C22×D32 | C24 | 1 | 288 | yes | complemented |
| 222 | C22×D32 | C24 | 1 | 144 | yes | complemented |
| 223 | C22×D32 | C24 | 1 | 36 | yes | complemented |
| 224 | C32×#41 | C24 | 1 | 48 | yes | complemented |
| 225 | C2×C32×Q8 | C24 | 1 | 2 | yes | complemented |
| 226 | C2×C32×D4 | C24 | 1 | 18 | yes | complemented |
| 227 | C2×C32×D4 | C24 | 1 | 72 | yes | complemented |
| 228 | C22×C32×C4 | C24 | 1 | 9 | yes | complemented |
| 229 | C2×#638 | C24 | 1 | 36 | yes | complemented |
| 230 | C2×#638 | C24 | 1 | 144 | yes | complemented |
| 231 | C22×C3⋊Dic3 | C24 | 1 | 9 | yes | complemented |
| 232 | #3832 | C24 | 1 | 48 | yes | complemented |
| 233 | Q8×C3⋊D3 | C24 | 1 | 16 | yes | complemented |
| 234 | #3830 | C24 | 1 | 144 | yes | complemented |
| 235 | D4×C3⋊D3 | C24 | 1 | 144 | yes | complemented |
| 236 | D4×C3⋊D3 | C24 | 1 | 288 | yes | complemented |
| 237 | #3828 | C24 | 1 | 144 | yes | complemented |
| 238 | C2×C4⋊(C3⋊D3) | C24 | 1 | 18 | yes | complemented |
| 239 | C2×C4⋊(C3⋊D3) | C24 | 1 | 72 | yes | complemented |
| 240 | C2×C4×C3⋊D3 | C24 | 1 | 6 | yes | — |
| 241 | C2×C4×C3⋊D3 | C24 | 1 | 72 | yes | complemented |
| 242 | C2×C4×C3⋊D3 | C24 | 1 | 18 | yes | complemented |
| 243 | C2×#634 | C24 | 1 | 6 | yes | complemented |
| 244 | C2×C3×#67 | C24 | 1 | 72 | yes | complemented |
| 245 | C2×C3×#67 | C24 | 1 | 288 | yes | complemented |
| 246 | C22×C3×Dic3 | C24 | 1 | 18 | yes | complemented |
| 247 | C3×#239 | C24 | 1 | 96 | yes | complemented |
| 248 | C3×D3×Q8 | C24 | 1 | 32 | yes | complemented |
| 249 | C3×#237 | C24 | 1 | 288 | yes | complemented |
| 250 | C3×D3×D4 | C24 | 1 | 288 | yes | complemented |
| 251 | C3×D3×D4 | C24 | 1 | 576 | yes | complemented |
| 252 | C3×#235 | C24 | 1 | 288 | yes | complemented |
| 253 | C2×C3×D12 | C24 | 1 | 36 | yes | complemented |
| 254 | C2×C3×D12 | C24 | 1 | 144 | yes | complemented |
| 255 | C2×C3×C4×D3 | C24 | 1 | 12 | yes | — |
| 256 | C2×C3×C4×D3 | C24 | 1 | 144 | yes | complemented |
| 257 | C2×C3×C4×D3 | C24 | 1 | 36 | yes | complemented |
| 258 | C2×C3×Dic6 | C24 | 1 | 12 | yes | complemented |
| 259 | #3811 | C24 | 1 | 288 | yes | complemented |
| 260 | #3811 | C24 | 1 | 576 | yes | complemented |
| 261 | D3×#67 | C24 | 1 | 576 | yes | complemented |
| 262 | D3×#67 | C24 | 1 | 1152 | yes | complemented |
| 263 | C2×#627 | C24 | 1 | 12 | yes | complemented |
| 264 | C2×#626 | C24 | 1 | 72 | yes | complemented |
| 265 | C2×#626 | C24 | 1 | 288 | yes | complemented |
| 266 | C2×#625 | C24 | 1 | 36 | yes | complemented |
| 267 | C2×#625 | C24 | 1 | 144 | yes | complemented |
| 268 | C2×#624 | C24 | 1 | 6 | yes | — |
| 269 | C2×#624 | C24 | 1 | 72 | yes | complemented |
| 270 | C2×#624 | C24 | 1 | 18 | yes | complemented |
| 271 | #3805 | C24 | 1 | 288 | yes | complemented |
| 272 | #3804 | C24 | 1 | 576 | yes | complemented |
| 273 | C2×D3×Dic3 | C24 | 1 | 12 | yes | — |
| 274 | C2×D3×Dic3 | C24 | 1 | 144 | yes | complemented |
| 275 | C2×D3×Dic3 | C24 | 1 | 36 | yes | complemented |
| 276 | #3802 | C24 | 1 | 144 | yes | complemented |
| 277 | #3802 | C24 | 1 | 288 | yes | complemented |
| 278 | D3×D12 | C24 | 1 | 288 | yes | complemented |
| 279 | D3×D12 | C24 | 1 | 576 | yes | complemented |
| 280 | C4×D32 | C24 | 1 | 48 | yes | — |
| 281 | C4×D32 | C24 | 1 | 288 | yes | complemented |
| 282 | C4×D32 | C24 | 1 | 144 | yes | complemented |
| 283 | #3799 | C24 | 1 | 288 | yes | complemented |
| 284 | #3798 | C24 | 1 | 288 | yes | complemented |
| 285 | #3797 | C24 | 1 | 48 | yes | complemented |
| 286 | #3796 | C24 | 1 | 288 | yes | complemented |
| 287 | #3795 | C24 | 1 | 288 | yes | complemented |
| 288 | D3×Dic6 | C24 | 1 | 96 | yes | complemented |
| 289 | C22×H(5,𝔽2) | — | 3 | 2 | no | — |
| 290 | C22×H(5,𝔽2) | — | 9 | 18 | no | — |
| 291 | C22×H(5,𝔽2) | — | 9 | 12 | no | — |
| 292 | C22×H(5,𝔽2) | — | 9 | 64 | no | — |
| 293 | C22×H(5,𝔽2) | — | 9 | 6 | no | — |
| 294 | C22×H(5,𝔽2) | — | 9 | 9 | no | — |
| 295 | C22×H(5,𝔽2) | — | 9 | 1 | no | — |
| 296 | C23×#41 | — | 9 | 6 | no | — |
| 297 | C24×D4 | — | 9 | 9 | no | — |
| 298 | C25×C3 | — | 3 | 12 | no | — |
| 299 | C24×D3 | — | 3 | 12 | no | — |
| 300 | C24×D3 | — | 3 | 18 | no | — |
| 301 | C24×D3 | — | 3 | 36 | no | — |
| 302 | C24×D3 | — | 3 | 36 | no | — |
| 303 | C24×D3 | — | 3 | 36 | no | — |
| 304 | C24×D3 | — | 3 | 192 | no | — |
| 305 | C24×D3 | — | 6 | 6 | no | — |
| 306 | C24×D3 | — | 12 | 96 | no | — |
| 307 | C24×D3 | C22×D3 | 1 | 12 | yes | complemented |
| 308 | C3×H(5,𝔽2) | — | 2 | 16 | no | — |
| 309 | C3×H(5,𝔽2) | — | 3 | 192 | no | — |
| 310 | C3×H(5,𝔽2) | — | 3 | 288 | no | — |
| 311 | C3×H(5,𝔽2) | C22×D3 | 1 | 32 | yes | complemented |
| 312 | C2×C3×#41 | — | 2 | 6 | no | — |
| 313 | C2×C3×#41 | — | 3 | 192 | no | — |
| 314 | C2×C3×#41 | — | 3 | 12 | no | — |
| 315 | C2×C3×#41 | — | 3 | 36 | no | — |
| 316 | C2×C3×#41 | — | 3 | 36 | no | — |
| 317 | C2×C3×#41 | C22×D3 | 1 | 12 | yes | complemented |
| 318 | C22×C3×Q8 | — | 3 | 4 | no | — |
| 319 | C22×C3×D4 | — | 2 | 9 | no | — |
| 320 | C22×C3×D4 | — | 3 | 36 | no | — |
| 321 | C22×C3×D4 | — | 3 | 36 | no | — |
| 322 | C22×C3×D4 | — | 3 | 72 | no | — |
| 323 | C22×C3×D4 | — | 3 | 288 | no | — |
| 324 | C22×C3×D4 | — | 3 | 18 | no | — |
| 325 | C22×C3×D4 | C22×D3 | 1 | 18 | yes | complemented |
| 326 | C23×C3×C4 | — | 3 | 18 | no | — |
| 327 | C22×#67 | — | 3 | 36 | no | — |
| 328 | C22×#67 | — | 3 | 36 | no | — |
| 329 | C22×#67 | — | 3 | 72 | no | — |
| 330 | C22×#67 | — | 3 | 144 | no | — |
| 331 | C22×#67 | — | 3 | 576 | no | — |
| 332 | C22×#67 | — | 3 | 36 | no | — |
| 333 | C22×#67 | — | 6 | 18 | no | — |
| 334 | C22×#67 | C22×D3 | 1 | 36 | yes | complemented |
| 335 | C23×Dic3 | — | 3 | 18 | no | — |
| 336 | #1009 | — | 3 | 192 | no | — |
| 337 | #1009 | — | 3 | 384 | no | — |
| 338 | #1009 | — | 3 | 1152 | no | — |
| 339 | #1009 | — | 3 | 576 | no | — |
| 340 | #1009 | — | 3 | 576 | no | — |
| 341 | #1009 | — | 6 | 96 | no | — |
| 342 | #1009 | C22×D3 | 1 | 192 | yes | complemented |
| 343 | D3×#41 | — | 3 | 192 | no | — |
| 344 | D3×#41 | — | 3 | 192 | no | — |
| 345 | D3×#41 | — | 3 | 192 | no | — |
| 346 | D3×#41 | — | 3 | 576 | no | — |
| 347 | D3×#41 | — | 3 | 576 | no | — |
| 348 | D3×#41 | — | 3 | 576 | no | — |
| 349 | D3×#41 | — | 3 | 576 | no | — |
| 350 | D3×#41 | — | 6 | 96 | no | — |
| 351 | D3×#41 | C22×D3 | 1 | 192 | yes | complemented |
| 352 | C2×#239 | — | 3 | 12 | no | — |
| 353 | C2×#239 | — | 3 | 192 | no | — |
| 354 | C2×#239 | — | 3 | 36 | no | — |
| 355 | C2×#239 | — | 3 | 36 | no | — |
| 356 | C2×#239 | — | 6 | 6 | no | — |
| 357 | C2×#239 | C22×D3 | 1 | 12 | yes | complemented |
| 358 | C2×D3×Q8 | — | 3 | 4 | no | — |
| 359 | C2×D3×Q8 | — | 3 | 64 | no | — |
| 360 | C2×D3×Q8 | — | 3 | 12 | no | — |
| 361 | C2×D3×Q8 | — | 3 | 12 | no | — |
| 362 | C2×D3×Q8 | — | 6 | 2 | no | — |
| 363 | C2×D3×Q8 | C22×D3 | 1 | 4 | yes | complemented |
| 364 | #1004 | — | 3 | 288 | no | — |
| 365 | #1004 | — | 3 | 1152 | no | — |
| 366 | #1004 | — | 3 | 1152 | no | — |
| 367 | #1004 | — | 3 | 1152 | no | — |
| 368 | #1004 | — | 3 | 576 | no | — |
| 369 | #1004 | — | 6 | 144 | no | — |
| 370 | #1004 | C22×D3 | 1 | 288 | yes | complemented |
| 371 | C2×#237 | — | 3 | 36 | no | — |
| 372 | C2×#237 | — | 3 | 72 | no | — |
| 373 | C2×#237 | — | 3 | 72 | no | — |
| 374 | C2×#237 | — | 3 | 576 | no | — |
| 375 | C2×#237 | — | 3 | 36 | no | — |
| 376 | C2×#237 | — | 3 | 36 | no | — |
| 377 | C2×#237 | — | 6 | 18 | no | — |
| 378 | C2×#237 | C22×D3 | 1 | 36 | yes | complemented |
| 379 | C2×D3×D4 | — | 3 | 72 | no | — |
| 380 | C2×D3×D4 | — | 3 | 144 | no | — |
| 381 | C2×D3×D4 | — | 3 | 576 | no | — |
| 382 | C2×D3×D4 | — | 3 | 36 | no | — |
| 383 | C2×D3×D4 | — | 3 | 72 | no | — |
| 384 | C2×D3×D4 | — | 3 | 288 | no | — |
| 385 | C2×D3×D4 | — | 3 | 72 | no | — |
| 386 | C2×D3×D4 | — | 3 | 144 | no | — |
| 387 | C2×D3×D4 | — | 3 | 576 | no | — |
| 388 | C2×D3×D4 | — | 3 | 576 | no | — |
| 389 | C2×D3×D4 | — | 3 | 1152 | no | — |
| 390 | C2×D3×D4 | — | 3 | 1152 | no | — |
| 391 | C2×D3×D4 | — | 3 | 1152 | no | — |
| 392 | C2×D3×D4 | — | 3 | 36 | no | — |
| 393 | C2×D3×D4 | — | 3 | 72 | no | — |
| 394 | C2×D3×D4 | — | 3 | 288 | no | — |
| 395 | C2×D3×D4 | — | 3 | 36 | no | — |
| 396 | C2×D3×D4 | — | 3 | 72 | no | — |
| 397 | C2×D3×D4 | — | 3 | 288 | no | — |
| 398 | C2×D3×D4 | — | 6 | 18 | no | — |
| 399 | C2×D3×D4 | — | 6 | 36 | no | — |
| 400 | C2×D3×D4 | — | 6 | 144 | no | — |
| 401 | C2×D3×D4 | C22×D3 | 1 | 36 | yes | complemented |
| 402 | C2×D3×D4 | C22×D3 | 1 | 72 | yes | complemented |
| 403 | C2×D3×D4 | C22×D3 | 1 | 288 | yes | complemented |
| 404 | C2×#235 | — | 3 | 36 | no | — |
| 405 | C2×#235 | — | 3 | 72 | no | — |
| 406 | C2×#235 | — | 3 | 576 | no | — |
| 407 | C2×#235 | — | 3 | 36 | no | — |
| 408 | C2×#235 | — | 3 | 72 | no | — |
| 409 | C2×#235 | — | 3 | 36 | no | — |
| 410 | C2×#235 | — | 6 | 18 | no | — |
| 411 | C2×#235 | C22×D3 | 1 | 36 | yes | complemented |
| 412 | C22×D12 | — | 3 | 36 | no | — |
| 413 | C22×D12 | — | 3 | 18 | no | — |
| 414 | C22×D12 | — | 3 | 36 | no | — |
| 415 | C22×D12 | — | 3 | 72 | no | — |
| 416 | C22×D12 | — | 3 | 288 | no | — |
| 417 | C22×D12 | — | 6 | 9 | no | — |
| 418 | C22×D12 | C22×D3 | 1 | 18 | yes | complemented |
| 419 | C22×C4×D3 | — | 3 | 18 | no | — |
| 420 | C22×C4×D3 | — | 3 | 18 | no | — |
| 421 | C22×C4×D3 | — | 3 | 18 | no | — |
| 422 | C22×C4×D3 | — | 3 | 12 | no | — |
| 423 | C22×C4×D3 | — | 3 | 36 | no | — |
| 424 | C22×C4×D3 | — | 3 | 36 | no | — |
| 425 | C22×C4×D3 | — | 3 | 36 | no | — |
| 426 | C22×C4×D3 | — | 3 | 288 | no | — |
| 427 | C22×C4×D3 | — | 6 | 9 | no | — |
| 428 | C22×C4×D3 | C22×D3 | 1 | 18 | yes | complemented |
| 429 | C22×Dic6 | — | 3 | 12 | no | — |
| 430 | C23×C32 | — | 4 | 12 | no | — |
| 431 | C23×C32 | C25 | 1 | 9 | yes | — |
| 432 | C23×C32 | C25 | 1 | 24 | yes | complemented |
| 433 | C22×C3⋊D3 | — | 2 | 36 | no | — |
| 434 | C22×C3⋊D3 | — | 4 | 96 | no | — |
| 435 | C22×C3⋊D3 | — | 4 | 36 | no | — |
| 436 | C22×C3⋊D3 | C25 | 1 | 9 | yes | — |
| 437 | C22×C3⋊D3 | C25 | 1 | 36 | yes | — |
| 438 | C22×C3⋊D3 | C25 | 1 | 1 | yes | characteristic |
| 439 | C22×C3⋊D3 | C25 | 1 | 72 | yes | complemented |
| 440 | C22×C3×D3 | — | 2 | 72 | no | — |
| 441 | C22×C3×D3 | — | 4 | 192 | no | — |
| 442 | C22×C3×D3 | — | 4 | 72 | no | — |
| 443 | C22×C3×D3 | C25 | 1 | 18 | yes | — |
| 444 | C22×C3×D3 | C25 | 1 | 72 | yes | — |
| 445 | C22×C3×D3 | C25 | 1 | 2 | yes | — |
| 446 | C22×C3×D3 | C25 | 1 | 144 | yes | complemented |
| 447 | C2×D32 | — | 2 | 36 | no | — |
| 448 | C2×D32 | — | 2 | 72 | no | — |
| 449 | C2×D32 | — | 2 | 288 | no | — |
| 450 | C2×D32 | — | 4 | 576 | no | — |
| 451 | C2×D32 | — | 4 | 288 | no | — |
| 452 | C2×D32 | — | 4 | 72 | no | — |
| 453 | C2×D32 | H(5,𝔽2) | 1 | 8 | yes | direct product factor |
| 454 | C2×D32 | C25 | 1 | 72 | yes | — |
| 455 | C2×D32 | C25 | 1 | 36 | yes | — |
| 456 | C2×D32 | C25 | 1 | 4 | yes | — |
| 457 | C2×D32 | C25 | 1 | 144 | yes | complemented |
| 458 | C32×Q8 | C25 | 1 | 8 | yes | complemented |
| 459 | C32×D4 | C25 | 1 | 72 | yes | complemented |
| 460 | C2×C32×C4 | C25 | 1 | 6 | yes | — |
| 461 | C2×C32×C4 | C25 | 1 | 36 | yes | complemented |
| 462 | #638 | C25 | 1 | 144 | yes | complemented |
| 463 | C2×C3⋊Dic3 | C25 | 1 | 6 | yes | — |
| 464 | C2×C3⋊Dic3 | C25 | 1 | 36 | yes | complemented |
| 465 | C4⋊(C3⋊D3) | C25 | 1 | 72 | yes | complemented |
| 466 | C4×C3⋊D3 | C25 | 1 | 24 | yes | — |
| 467 | C4×C3⋊D3 | C25 | 1 | 72 | yes | complemented |
| 468 | #634 | C25 | 1 | 24 | yes | complemented |
| 469 | C3×#67 | C25 | 1 | 288 | yes | complemented |
| 470 | C2×C3×Dic3 | C25 | 1 | 12 | yes | — |
| 471 | C2×C3×Dic3 | C25 | 1 | 72 | yes | complemented |
| 472 | C3×D12 | C25 | 1 | 144 | yes | complemented |
| 473 | C3×C4×D3 | C25 | 1 | 48 | yes | — |
| 474 | C3×C4×D3 | C25 | 1 | 144 | yes | complemented |
| 475 | C3×Dic6 | C25 | 1 | 48 | yes | complemented |
| 476 | #627 | C25 | 1 | 48 | yes | complemented |
| 477 | #626 | C25 | 1 | 288 | yes | complemented |
| 478 | #625 | C25 | 1 | 144 | yes | complemented |
| 479 | #624 | C25 | 1 | 24 | yes | — |
| 480 | #624 | C25 | 1 | 72 | yes | complemented |
| 481 | D3×Dic3 | C25 | 1 | 48 | yes | — |
| 482 | D3×Dic3 | C25 | 1 | 144 | yes | complemented |
| 483 | C26 | — | 9 | 6 | no | — |
| 484 | C2×H(5,𝔽2) | — | 3 | 64 | no | — |
| 485 | C2×H(5,𝔽2) | — | 3 | 12 | no | — |
| 486 | C2×H(5,𝔽2) | — | 3 | 18 | no | — |
| 487 | C2×H(5,𝔽2) | — | 9 | 36 | no | — |
| 488 | C2×H(5,𝔽2) | — | 9 | 36 | no | — |
| 489 | C2×H(5,𝔽2) | — | 9 | 72 | no | — |
| 490 | C2×H(5,𝔽2) | — | 9 | 36 | no | — |
| 491 | C2×H(5,𝔽2) | — | 9 | 576 | no | — |
| 492 | C2×H(5,𝔽2) | — | 9 | 12 | no | — |
| 493 | C2×H(5,𝔽2) | — | 9 | 18 | no | — |
| 494 | C2×H(5,𝔽2) | — | 9 | 384 | no | — |
| 495 | C2×H(5,𝔽2) | — | 9 | 192 | no | — |
| 496 | C2×H(5,𝔽2) | — | 9 | 288 | no | — |
| 497 | C2×H(5,𝔽2) | — | 9 | 32 | no | — |
| 498 | C2×H(5,𝔽2) | — | 9 | 6 | no | — |
| 499 | C2×H(5,𝔽2) | — | 9 | 9 | no | — |
| 500 | C2×H(5,𝔽2) | D32 | 1 | 1 | yes | characteristic, direct product factor |
| 501 | C22×#41 | — | 3 | 12 | no | — |
| 502 | C22×#41 | — | 9 | 36 | no | — |
| 503 | C22×#41 | — | 9 | 36 | no | — |
| 504 | C22×#41 | — | 9 | 12 | no | — |
| 505 | C22×#41 | — | 9 | 192 | no | — |
| 506 | C22×#41 | — | 9 | 6 | no | — |
| 507 | C22×#41 | — | 9 | 18 | no | — |
| 508 | C22×#41 | — | 9 | 18 | no | — |
| 509 | C22×#41 | — | 9 | 6 | no | — |
| 510 | C23×Q8 | — | 9 | 2 | no | — |
| 511 | C23×D4 | — | 3 | 18 | no | — |
| 512 | C23×D4 | — | 9 | 18 | no | — |
| 513 | C23×D4 | — | 9 | 18 | no | — |
| 514 | C23×D4 | — | 9 | 18 | no | — |
| 515 | C23×D4 | — | 9 | 72 | no | — |
| 516 | C23×D4 | — | 9 | 288 | no | — |
| 517 | C23×D4 | — | 9 | 36 | no | — |
| 518 | C23×D4 | — | 9 | 9 | no | — |
| 519 | C23×D4 | — | 9 | 36 | no | — |
| 520 | C23×D4 | — | 9 | 9 | no | — |
| 521 | C24×C4 | — | 9 | 9 | no | — |
| 522 | C24×C3 | — | 2 | 6 | no | — |
| 523 | C24×C3 | — | 3 | 18 | no | — |
| 524 | C24×C3 | — | 3 | 36 | no | — |
| 525 | C24×C3 | — | 3 | 96 | no | — |
| 526 | C24×C3 | — | 12 | 48 | no | — |
| 527 | C24×C3 | C23×D3 | 1 | 12 | yes | complemented |
| 528 | C23×D3 | — | 3 | 2 | no | — |
| 529 | C23×D3 | — | 3 | 18 | no | — |
| 530 | C23×D3 | — | 3 | 36 | no | — |
| 531 | C23×D3 | — | 3 | 96 | no | — |
| 532 | C23×D3 | — | 3 | 18 | no | — |
| 533 | C23×D3 | — | 3 | 18 | no | — |
| 534 | C23×D3 | — | 3 | 144 | no | — |
| 535 | C23×D3 | — | 3 | 18 | no | — |
| 536 | C23×D3 | — | 3 | 72 | no | — |
| 537 | C23×D3 | — | 3 | 288 | no | — |
| 538 | C23×D3 | — | 3 | 288 | no | — |
| 539 | C23×D3 | — | 3 | 288 | no | — |
| 540 | C23×D3 | — | 4 | 48 | no | — |
| 541 | C23×D3 | — | 6 | 9 | no | — |
| 542 | C23×D3 | — | 6 | 18 | no | — |
| 543 | C23×D3 | — | 6 | 48 | no | — |
| 544 | C23×D3 | — | 6 | 144 | no | — |
| 545 | C23×D3 | — | 12 | 144 | no | — |
| 546 | C23×D3 | — | 12 | 768 | no | — |
| 547 | C23×D3 | — | 12 | 144 | no | — |
| 548 | C23×D3 | — | 12 | 144 | no | — |
| 549 | C23×D3 | — | 12 | 48 | no | — |
| 550 | C23×D3 | — | 24 | 24 | no | — |
| 551 | C23×D3 | C23×D3 | 1 | 18 | yes | — |
| 552 | C23×D3 | C23×D3 | 1 | 96 | yes | complemented |
| 553 | C23×D3 | C23×D3 | 1 | 36 | yes | complemented |
| 554 | C3×#41 | — | 2 | 48 | no | — |
| 555 | C3×#41 | — | 3 | 96 | no | — |
| 556 | C3×#41 | — | 3 | 288 | no | — |
| 557 | C3×#41 | — | 3 | 288 | no | — |
| 558 | C3×#41 | C23×D3 | 1 | 96 | yes | complemented |
| 559 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 560 | C2×C3×Q8 | — | 3 | 32 | no | — |
| 561 | C2×C3×Q8 | — | 3 | 12 | no | — |
| 562 | C2×C3×Q8 | C23×D3 | 1 | 4 | yes | complemented |
| 563 | C2×C3×D4 | — | 2 | 18 | no | — |
| 564 | C2×C3×D4 | — | 2 | 72 | no | — |
| 565 | C2×C3×D4 | — | 3 | 72 | no | — |
| 566 | C2×C3×D4 | — | 3 | 288 | no | — |
| 567 | C2×C3×D4 | — | 3 | 288 | no | — |
| 568 | C2×C3×D4 | — | 3 | 576 | no | — |
| 569 | C2×C3×D4 | — | 3 | 36 | no | — |
| 570 | C2×C3×D4 | — | 3 | 144 | no | — |
| 571 | C2×C3×D4 | C23×D3 | 1 | 36 | yes | complemented |
| 572 | C2×C3×D4 | C23×D3 | 1 | 144 | yes | complemented |
| 573 | C22×C3×C4 | — | 2 | 9 | no | — |
| 574 | C22×C3×C4 | — | 3 | 18 | no | — |
| 575 | C22×C3×C4 | — | 3 | 12 | no | — |
| 576 | C22×C3×C4 | — | 3 | 36 | no | — |
| 577 | C22×C3×C4 | — | 3 | 144 | no | — |
| 578 | C22×C3×C4 | C23×D3 | 1 | 18 | yes | complemented |
| 579 | C2×#67 | — | 3 | 72 | no | — |
| 580 | C2×#67 | — | 3 | 288 | no | — |
| 581 | C2×#67 | — | 3 | 72 | no | — |
| 582 | C2×#67 | — | 3 | 288 | no | — |
| 583 | C2×#67 | — | 3 | 576 | no | — |
| 584 | C2×#67 | — | 3 | 1152 | no | — |
| 585 | C2×#67 | — | 3 | 72 | no | — |
| 586 | C2×#67 | — | 3 | 288 | no | — |
| 587 | C2×#67 | — | 6 | 36 | no | — |
| 588 | C2×#67 | — | 6 | 144 | no | — |
| 589 | C2×#67 | C23×D3 | 1 | 72 | yes | complemented |
| 590 | C2×#67 | C23×D3 | 1 | 288 | yes | complemented |
| 591 | C22×Dic3 | — | 3 | 18 | no | — |
| 592 | C22×Dic3 | — | 3 | 12 | no | — |
| 593 | C22×Dic3 | — | 3 | 36 | no | — |
| 594 | C22×Dic3 | — | 3 | 144 | no | — |
| 595 | C22×Dic3 | — | 6 | 9 | no | — |
| 596 | C22×Dic3 | C23×D3 | 1 | 18 | yes | complemented |
| 597 | #239 | — | 3 | 96 | no | — |
| 598 | #239 | — | 3 | 288 | no | — |
| 599 | #239 | — | 3 | 288 | no | — |
| 600 | #239 | — | 6 | 48 | no | — |
| 601 | #239 | C23×D3 | 1 | 96 | yes | complemented |
| 602 | D3×Q8 | — | 3 | 32 | no | — |
| 603 | D3×Q8 | — | 3 | 96 | no | — |
| 604 | D3×Q8 | — | 3 | 96 | no | — |
| 605 | D3×Q8 | — | 6 | 16 | no | — |
| 606 | D3×Q8 | C23×D3 | 1 | 32 | yes | complemented |
| 607 | #237 | — | 3 | 288 | no | — |
| 608 | #237 | — | 3 | 576 | no | — |
| 609 | #237 | — | 3 | 576 | no | — |
| 610 | #237 | — | 3 | 288 | no | — |
| 611 | #237 | — | 3 | 288 | no | — |
| 612 | #237 | — | 6 | 144 | no | — |
| 613 | #237 | C23×D3 | 1 | 288 | yes | complemented |
| 614 | D3×D4 | — | 3 | 576 | no | — |
| 615 | D3×D4 | — | 3 | 1152 | no | — |
| 616 | D3×D4 | — | 3 | 288 | no | — |
| 617 | D3×D4 | — | 3 | 576 | no | — |
| 618 | D3×D4 | — | 3 | 576 | no | — |
| 619 | D3×D4 | — | 3 | 1152 | no | — |
| 620 | D3×D4 | — | 3 | 288 | no | — |
| 621 | D3×D4 | — | 3 | 576 | no | — |
| 622 | D3×D4 | — | 3 | 288 | no | — |
| 623 | D3×D4 | — | 3 | 576 | no | — |
| 624 | D3×D4 | — | 6 | 144 | no | — |
| 625 | D3×D4 | — | 6 | 288 | no | — |
| 626 | D3×D4 | C23×D3 | 1 | 288 | yes | complemented |
| 627 | D3×D4 | C23×D3 | 1 | 576 | yes | complemented |
| 628 | #235 | — | 3 | 288 | no | — |
| 629 | #235 | — | 3 | 576 | no | — |
| 630 | #235 | — | 3 | 288 | no | — |
| 631 | #235 | — | 3 | 576 | no | — |
| 632 | #235 | — | 3 | 288 | no | — |
| 633 | #235 | — | 6 | 144 | no | — |
| 634 | #235 | C23×D3 | 1 | 288 | yes | complemented |
| 635 | C2×D12 | — | 3 | 72 | no | — |
| 636 | C2×D12 | — | 3 | 288 | no | — |
| 637 | C2×D12 | — | 3 | 36 | no | — |
| 638 | C2×D12 | — | 3 | 144 | no | — |
| 639 | C2×D12 | — | 3 | 288 | no | — |
| 640 | C2×D12 | — | 3 | 576 | no | — |
| 641 | C2×D12 | — | 6 | 18 | no | — |
| 642 | C2×D12 | — | 6 | 72 | no | — |
| 643 | C2×D12 | C23×D3 | 1 | 36 | yes | complemented |
| 644 | C2×D12 | C23×D3 | 1 | 144 | yes | complemented |
| 645 | C2×C4×D3 | — | 3 | 12 | no | — |
| 646 | C2×C4×D3 | — | 3 | 36 | no | — |
| 647 | C2×C4×D3 | — | 3 | 144 | no | — |
| 648 | C2×C4×D3 | — | 3 | 12 | no | — |
| 649 | C2×C4×D3 | — | 3 | 36 | no | — |
| 650 | C2×C4×D3 | — | 3 | 144 | no | — |
| 651 | C2×C4×D3 | — | 3 | 12 | no | — |
| 652 | C2×C4×D3 | — | 3 | 36 | no | — |
| 653 | C2×C4×D3 | — | 3 | 144 | no | — |
| 654 | C2×C4×D3 | — | 3 | 96 | no | — |
| 655 | C2×C4×D3 | — | 3 | 288 | no | — |
| 656 | C2×C4×D3 | — | 3 | 288 | no | — |
| 657 | C2×C4×D3 | — | 3 | 288 | no | — |
| 658 | C2×C4×D3 | — | 6 | 6 | no | — |
| 659 | C2×C4×D3 | — | 6 | 18 | no | — |
| 660 | C2×C4×D3 | — | 6 | 72 | no | — |
| 661 | C2×C4×D3 | C23×D3 | 1 | 12 | yes | — |
| 662 | C2×C4×D3 | C23×D3 | 1 | 144 | yes | complemented |
| 663 | C2×C4×D3 | C23×D3 | 1 | 36 | yes | complemented |
| 664 | C2×Dic6 | — | 3 | 12 | no | — |
| 665 | C2×Dic6 | — | 3 | 24 | no | — |
| 666 | C2×Dic6 | — | 3 | 96 | no | — |
| 667 | C2×Dic6 | — | 6 | 6 | no | — |
| 668 | C2×Dic6 | C23×D3 | 1 | 12 | yes | complemented |
| 669 | C22×C32 | — | 2 | 18 | no | — |
| 670 | C22×C32 | — | 4 | 24 | no | — |
| 671 | C22×C32 | C26 | 1 | 18 | yes | — |
| 672 | C22×C32 | C26 | 1 | 1 | yes | characteristic |
| 673 | C2×C3⋊D3 | — | 2 | 18 | no | — |
| 674 | C2×C3⋊D3 | — | 2 | 72 | no | — |
| 675 | C2×C3⋊D3 | — | 4 | 72 | no | — |
| 676 | C2×C3⋊D3 | C2×H(5,𝔽2) | 1 | 4 | yes | complemented |
| 677 | C2×C3⋊D3 | C26 | 1 | 18 | yes | — |
| 678 | C2×C3⋊D3 | C26 | 1 | 2 | yes | — |
| 679 | C2×C3×D3 | — | 2 | 36 | no | — |
| 680 | C2×C3×D3 | — | 2 | 144 | no | — |
| 681 | C2×C3×D3 | — | 4 | 144 | no | — |
| 682 | C2×C3×D3 | C2×H(5,𝔽2) | 1 | 8 | yes | complemented |
| 683 | C2×C3×D3 | C26 | 1 | 36 | yes | — |
| 684 | C2×C3×D3 | C26 | 1 | 4 | yes | — |
| 685 | D32 | — | 2 | 72 | no | — |
| 686 | D32 | — | 2 | 144 | no | — |
| 687 | D32 | — | 4 | 144 | no | — |
| 688 | D32 | C2×H(5,𝔽2) | 1 | 16 | yes | direct product factor |
| 689 | C32×C4 | C26 | 1 | 12 | yes | — |
| 690 | C3⋊Dic3 | C26 | 1 | 12 | yes | — |
| 691 | C3×Dic3 | C26 | 1 | 24 | yes | — |
| 692 | C25 | — | 3 | 12 | no | — |
| 693 | C25 | — | 9 | 9 | no | — |
| 694 | C25 | — | 9 | 36 | no | — |
| 695 | C25 | — | 9 | 18 | no | — |
| 696 | C25 | — | 9 | 96 | no | — |
| 697 | C25 | — | 9 | 6 | no | — |
| 698 | C25 | — | 36 | 48 | no | — |
| 699 | H(5,𝔽2) | — | 3 | 192 | no | — |
| 700 | H(5,𝔽2) | — | 3 | 288 | no | — |
| 701 | H(5,𝔽2) | — | 9 | 576 | no | — |
| 702 | H(5,𝔽2) | — | 9 | 576 | no | — |
| 703 | H(5,𝔽2) | — | 9 | 1152 | no | — |
| 704 | H(5,𝔽2) | — | 9 | 576 | no | — |
| 705 | H(5,𝔽2) | — | 9 | 192 | no | — |
| 706 | H(5,𝔽2) | — | 9 | 288 | no | — |
| 707 | H(5,𝔽2) | — | 9 | 96 | no | — |
| 708 | H(5,𝔽2) | — | 9 | 144 | no | — |
| 709 | H(5,𝔽2) | C2×D32 | 1 | 16 | yes | direct product factor |
| 710 | C2×#41 | — | 3 | 192 | no | — |
| 711 | C2×#41 | — | 3 | 12 | no | — |
| 712 | C2×#41 | — | 3 | 36 | no | — |
| 713 | C2×#41 | — | 3 | 36 | no | — |
| 714 | C2×#41 | — | 9 | 36 | no | — |
| 715 | C2×#41 | — | 9 | 72 | no | — |
| 716 | C2×#41 | — | 9 | 36 | no | — |
| 717 | C2×#41 | — | 9 | 36 | no | — |
| 718 | C2×#41 | — | 9 | 576 | no | — |
| 719 | C2×#41 | — | 9 | 36 | no | — |
| 720 | C2×#41 | — | 9 | 36 | no | — |
| 721 | C2×#41 | — | 9 | 576 | no | — |
| 722 | C2×#41 | — | 9 | 192 | no | — |
| 723 | C2×#41 | — | 9 | 96 | no | — |
| 724 | C2×#41 | — | 9 | 288 | no | — |
| 725 | C2×#41 | — | 9 | 288 | no | — |
| 726 | C2×#41 | — | 9 | 96 | no | — |
| 727 | C2×#41 | — | 9 | 6 | no | — |
| 728 | C2×#41 | — | 9 | 18 | no | — |
| 729 | C2×#41 | — | 9 | 18 | no | — |
| 730 | C2×#41 | C2×D32 | 1 | 6 | yes | complemented |
| 731 | C22×Q8 | — | 3 | 4 | no | — |
| 732 | C22×Q8 | — | 9 | 12 | no | — |
| 733 | C22×Q8 | — | 9 | 32 | no | — |
| 734 | C22×Q8 | — | 9 | 6 | no | — |
| 735 | C22×Q8 | — | 9 | 2 | no | — |
| 736 | C22×D4 | — | 3 | 36 | no | — |
| 737 | C22×D4 | — | 3 | 36 | no | — |
| 738 | C22×D4 | — | 3 | 72 | no | — |
| 739 | C22×D4 | — | 3 | 288 | no | — |
| 740 | C22×D4 | — | 3 | 18 | no | — |
| 741 | C22×D4 | — | 9 | 36 | no | — |
| 742 | C22×D4 | — | 9 | 72 | no | — |
| 743 | C22×D4 | — | 9 | 288 | no | — |
| 744 | C22×D4 | — | 9 | 36 | no | — |
| 745 | C22×D4 | — | 9 | 36 | no | — |
| 746 | C22×D4 | — | 9 | 288 | no | — |
| 747 | C22×D4 | — | 9 | 18 | no | — |
| 748 | C22×D4 | — | 9 | 72 | no | — |
| 749 | C22×D4 | — | 9 | 288 | no | — |
| 750 | C22×D4 | — | 9 | 1152 | no | — |
| 751 | C22×D4 | — | 9 | 576 | no | — |
| 752 | C22×D4 | — | 9 | 36 | no | — |
| 753 | C22×D4 | — | 9 | 144 | no | — |
| 754 | C22×D4 | — | 9 | 72 | no | — |
| 755 | C22×D4 | — | 9 | 144 | no | — |
| 756 | C22×D4 | — | 9 | 576 | no | — |
| 757 | C22×D4 | — | 9 | 18 | no | — |
| 758 | C22×D4 | — | 9 | 18 | no | — |
| 759 | C22×D4 | — | 9 | 18 | no | — |
| 760 | C22×D4 | — | 9 | 36 | no | — |
| 761 | C22×D4 | — | 9 | 144 | no | — |
| 762 | C22×D4 | — | 9 | 9 | no | — |
| 763 | C22×D4 | C2×D32 | 1 | 9 | yes | complemented |
| 764 | C23×C4 | — | 3 | 18 | no | — |
| 765 | C23×C4 | — | 9 | 6 | no | — |
| 766 | C23×C4 | — | 9 | 9 | no | — |
| 767 | C23×C4 | — | 9 | 36 | no | — |
| 768 | C23×C4 | — | 9 | 18 | no | — |
| 769 | C23×C4 | — | 9 | 144 | no | — |
| 770 | C23×C4 | — | 9 | 18 | no | — |
| 771 | C23×C4 | — | 9 | 9 | no | — |
| 772 | C23×C3 | — | 2 | 9 | no | — |
| 773 | C23×C3 | — | 2 | 24 | no | — |
| 774 | C23×C3 | — | 3 | 2 | no | — |
| 775 | C23×C3 | — | 3 | 72 | no | — |
| 776 | C23×C3 | — | 3 | 18 | no | — |
| 777 | C23×C3 | — | 3 | 144 | no | — |
| 778 | C23×C3 | — | 4 | 24 | no | — |
| 779 | C23×C3 | — | 6 | 72 | no | — |
| 780 | C23×C3 | — | 8 | 12 | no | — |
| 781 | C23×C3 | — | 12 | 72 | no | — |
| 782 | C23×C3 | — | 12 | 192 | no | — |
| 783 | C23×C3 | C24×D3 | 1 | 18 | yes | — |
| 784 | C23×C3 | C24×D3 | 1 | 48 | yes | complemented |
| 785 | C22×D3 | — | 2 | 72 | no | — |
| 786 | C22×D3 | — | 3 | 2 | no | — |
| 787 | C22×D3 | — | 3 | 16 | no | — |
| 788 | C22×D3 | — | 3 | 8 | no | — |
| 789 | C22×D3 | — | 3 | 18 | no | — |
| 790 | C22×D3 | — | 3 | 72 | no | — |
| 791 | C22×D3 | — | 3 | 144 | no | — |
| 792 | C22×D3 | — | 3 | 72 | no | — |
| 793 | C22×D3 | — | 3 | 72 | no | — |
| 794 | C22×D3 | — | 3 | 72 | no | — |
| 795 | C22×D3 | — | 3 | 288 | no | — |
| 796 | C22×D3 | — | 4 | 192 | no | — |
| 797 | C22×D3 | — | 4 | 72 | no | — |
| 798 | C22×D3 | — | 6 | 1 | no | — |
| 799 | C22×D3 | — | 6 | 9 | no | — |
| 800 | C22×D3 | — | 6 | 36 | no | — |
| 801 | C22×D3 | — | 6 | 72 | no | — |
| 802 | C22×D3 | — | 6 | 72 | no | — |
| 803 | C22×D3 | — | 6 | 576 | no | — |
| 804 | C22×D3 | — | 6 | 72 | no | — |
| 805 | C22×D3 | — | 6 | 72 | no | — |
| 806 | C22×D3 | — | 6 | 72 | no | — |
| 807 | C22×D3 | — | 12 | 36 | no | — |
| 808 | C22×D3 | — | 12 | 576 | no | — |
| 809 | C22×D3 | — | 12 | 144 | no | — |
| 810 | C22×D3 | — | 12 | 576 | no | — |
| 811 | C22×D3 | — | 12 | 576 | no | — |
| 812 | C22×D3 | — | 12 | 192 | no | — |
| 813 | C22×D3 | — | 12 | 72 | no | — |
| 814 | C22×D3 | — | 24 | 96 | no | — |
| 815 | C22×D3 | — | 24 | 36 | no | — |
| 816 | C22×D3 | C24×D3 | 1 | 18 | yes | — |
| 817 | C22×D3 | C24×D3 | 1 | 72 | yes | — |
| 818 | C22×D3 | C24×D3 | 1 | 2 | yes | — |
| 819 | C22×D3 | C24×D3 | 1 | 144 | yes | complemented |
| 820 | C3×Q8 | — | 2 | 8 | no | — |
| 821 | C3×Q8 | — | 3 | 48 | no | — |
| 822 | C3×Q8 | C24×D3 | 1 | 16 | yes | complemented |
| 823 | C3×D4 | — | 2 | 72 | no | — |
| 824 | C3×D4 | — | 3 | 288 | no | — |
| 825 | C3×D4 | — | 3 | 144 | no | — |
| 826 | C3×D4 | C24×D3 | 1 | 144 | yes | complemented |
| 827 | C2×C3×C4 | — | 2 | 6 | no | — |
| 828 | C2×C3×C4 | — | 2 | 36 | no | — |
| 829 | C2×C3×C4 | — | 3 | 12 | no | — |
| 830 | C2×C3×C4 | — | 3 | 72 | no | — |
| 831 | C2×C3×C4 | — | 3 | 48 | no | — |
| 832 | C2×C3×C4 | — | 3 | 144 | no | — |
| 833 | C2×C3×C4 | C24×D3 | 1 | 12 | yes | — |
| 834 | C2×C3×C4 | C24×D3 | 1 | 72 | yes | complemented |
| 835 | #67 | — | 3 | 288 | no | — |
| 836 | #67 | — | 3 | 288 | no | — |
| 837 | #67 | — | 3 | 288 | no | — |
| 838 | #67 | — | 6 | 144 | no | — |
| 839 | #67 | C24×D3 | 1 | 288 | yes | complemented |
| 840 | C2×Dic3 | — | 3 | 12 | no | — |
| 841 | C2×Dic3 | — | 3 | 72 | no | — |
| 842 | C2×Dic3 | — | 3 | 48 | no | — |
| 843 | C2×Dic3 | — | 3 | 144 | no | — |
| 844 | C2×Dic3 | — | 6 | 6 | no | — |
| 845 | C2×Dic3 | — | 6 | 36 | no | — |
| 846 | C2×Dic3 | C24×D3 | 1 | 12 | yes | — |
| 847 | C2×Dic3 | C24×D3 | 1 | 72 | yes | complemented |
| 848 | D12 | — | 3 | 288 | no | — |
| 849 | D12 | — | 3 | 144 | no | — |
| 850 | D12 | — | 6 | 72 | no | — |
| 851 | D12 | C24×D3 | 1 | 144 | yes | complemented |
| 852 | C4×D3 | — | 3 | 48 | no | — |
| 853 | C4×D3 | — | 3 | 144 | no | — |
| 854 | C4×D3 | — | 3 | 48 | no | — |
| 855 | C4×D3 | — | 3 | 144 | no | — |
| 856 | C4×D3 | — | 3 | 48 | no | — |
| 857 | C4×D3 | — | 3 | 144 | no | — |
| 858 | C4×D3 | — | 6 | 24 | no | — |
| 859 | C4×D3 | — | 6 | 72 | no | — |
| 860 | C4×D3 | C24×D3 | 1 | 48 | yes | — |
| 861 | C4×D3 | C24×D3 | 1 | 144 | yes | complemented |
| 862 | Dic6 | — | 3 | 48 | no | — |
| 863 | Dic6 | — | 3 | 96 | no | — |
| 864 | Dic6 | — | 6 | 24 | no | — |
| 865 | Dic6 | C24×D3 | 1 | 48 | yes | complemented |
| 866 | C2×C32 | — | 2 | 18 | no | — |
| 867 | C2×C32 | C22×H(5,𝔽2) | 1 | 2 | yes | complemented |
| 868 | C2×C32 | C27 | 1 | 1 | yes | characteristic |
| 869 | C3⋊D3 | — | 2 | 18 | no | — |
| 870 | C3⋊D3 | C22×H(5,𝔽2) | 1 | 4 | yes | complemented |
| 871 | C3×D3 | — | 2 | 36 | no | — |
| 872 | C3×D3 | C22×H(5,𝔽2) | 1 | 8 | yes | complemented |
| 873 | C24 | — | 3 | 18 | no | — |
| 874 | C24 | — | 3 | 36 | no | — |
| 875 | C24 | — | 3 | 96 | no | — |
| 876 | C24 | — | 9 | 1 | no | — |
| 877 | C24 | — | 9 | 18 | no | — |
| 878 | C24 | — | 9 | 72 | no | — |
| 879 | C24 | — | 9 | 9 | no | — |
| 880 | C24 | — | 9 | 288 | no | — |
| 881 | C24 | — | 9 | 36 | no | — |
| 882 | C24 | — | 9 | 144 | no | — |
| 883 | C24 | — | 9 | 9 | no | — |
| 884 | C24 | — | 9 | 18 | no | — |
| 885 | C24 | — | 9 | 48 | no | — |
| 886 | C24 | — | 12 | 48 | no | — |
| 887 | C24 | — | 18 | 72 | no | — |
| 888 | C24 | — | 36 | 24 | no | — |
| 889 | C24 | — | 36 | 144 | no | — |
| 890 | C24 | — | 36 | 72 | no | — |
| 891 | C24 | — | 36 | 384 | no | — |
| 892 | C24 | C22×D32 | 1 | 6 | yes | complemented |
| 893 | #41 | — | 3 | 96 | no | — |
| 894 | #41 | — | 3 | 288 | no | — |
| 895 | #41 | — | 3 | 288 | no | — |
| 896 | #41 | — | 9 | 288 | no | — |
| 897 | #41 | — | 9 | 576 | no | — |
| 898 | #41 | — | 9 | 288 | no | — |
| 899 | #41 | — | 9 | 288 | no | — |
| 900 | #41 | — | 9 | 288 | no | — |
| 901 | #41 | — | 9 | 288 | no | — |
| 902 | #41 | — | 9 | 48 | no | — |
| 903 | #41 | — | 9 | 144 | no | — |
| 904 | #41 | — | 9 | 144 | no | — |
| 905 | #41 | C22×D32 | 1 | 48 | yes | complemented |
| 906 | C2×Q8 | — | 3 | 32 | no | — |
| 907 | C2×Q8 | — | 3 | 12 | no | — |
| 908 | C2×Q8 | — | 9 | 12 | no | — |
| 909 | C2×Q8 | — | 9 | 96 | no | — |
| 910 | C2×Q8 | — | 9 | 48 | no | — |
| 911 | C2×Q8 | — | 9 | 16 | no | — |
| 912 | C2×Q8 | — | 9 | 6 | no | — |
| 913 | C2×Q8 | C22×D32 | 1 | 2 | yes | complemented |
| 914 | C2×D4 | — | 3 | 72 | no | — |
| 915 | C2×D4 | — | 3 | 288 | no | — |
| 916 | C2×D4 | — | 3 | 288 | no | — |
| 917 | C2×D4 | — | 3 | 576 | no | — |
| 918 | C2×D4 | — | 3 | 36 | no | — |
| 919 | C2×D4 | — | 3 | 144 | no | — |
| 920 | C2×D4 | — | 9 | 288 | no | — |
| 921 | C2×D4 | — | 9 | 576 | no | — |
| 922 | C2×D4 | — | 9 | 72 | no | — |
| 923 | C2×D4 | — | 9 | 288 | no | — |
| 924 | C2×D4 | — | 9 | 288 | no | — |
| 925 | C2×D4 | — | 9 | 144 | no | — |
| 926 | C2×D4 | — | 9 | 576 | no | — |
| 927 | C2×D4 | — | 9 | 288 | no | — |
| 928 | C2×D4 | — | 9 | 576 | no | — |
| 929 | C2×D4 | — | 9 | 1152 | no | — |
| 930 | C2×D4 | — | 9 | 36 | no | — |
| 931 | C2×D4 | — | 9 | 144 | no | — |
| 932 | C2×D4 | — | 9 | 36 | no | — |
| 933 | C2×D4 | — | 9 | 144 | no | — |
| 934 | C2×D4 | — | 9 | 144 | no | — |
| 935 | C2×D4 | — | 9 | 288 | no | — |
| 936 | C2×D4 | — | 9 | 18 | no | — |
| 937 | C2×D4 | — | 9 | 72 | no | — |
| 938 | C2×D4 | C22×D32 | 1 | 18 | yes | complemented |
| 939 | C2×D4 | C22×D32 | 1 | 72 | yes | complemented |
| 940 | C22×C4 | — | 3 | 18 | no | — |
| 941 | C22×C4 | — | 3 | 12 | no | — |
| 942 | C22×C4 | — | 3 | 36 | no | — |
| 943 | C22×C4 | — | 3 | 144 | no | — |
| 944 | C22×C4 | — | 9 | 6 | no | — |
| 945 | C22×C4 | — | 9 | 48 | no | — |
| 946 | C22×C4 | — | 9 | 72 | no | — |
| 947 | C22×C4 | — | 9 | 18 | no | — |
| 948 | C22×C4 | — | 9 | 288 | no | — |
| 949 | C22×C4 | — | 9 | 144 | no | — |
| 950 | C22×C4 | — | 9 | 12 | no | — |
| 951 | C22×C4 | — | 9 | 144 | no | — |
| 952 | C22×C4 | — | 9 | 36 | no | — |
| 953 | C22×C4 | — | 9 | 9 | no | — |
| 954 | C22×C4 | — | 9 | 6 | no | — |
| 955 | C22×C4 | — | 9 | 18 | no | — |
| 956 | C22×C4 | — | 9 | 72 | no | — |
| 957 | C22×C4 | C22×D32 | 1 | 9 | yes | complemented |
| 958 | C22×C3 | — | 2 | 36 | no | — |
| 959 | C22×C3 | — | 2 | 18 | no | — |
| 960 | C22×C3 | — | 2 | 1 | no | — |
| 961 | C22×C3 | — | 3 | 8 | no | — |
| 962 | C22×C3 | — | 3 | 4 | no | — |
| 963 | C22×C3 | — | 3 | 36 | no | — |
| 964 | C22×C3 | — | 4 | 18 | no | — |
| 965 | C22×C3 | — | 4 | 48 | no | — |
| 966 | C22×C3 | — | 6 | 144 | no | — |
| 967 | C22×C3 | — | 6 | 36 | no | — |
| 968 | C22×C3 | — | 8 | 24 | no | — |
| 969 | C22×C3 | — | 12 | 144 | no | — |
| 970 | C22×C3 | C25×D3 | 1 | 36 | yes | — |
| 971 | C22×C3 | C25×D3 | 1 | 2 | yes | — |
| 972 | C2×D3 | — | 2 | 36 | no | — |
| 973 | C2×D3 | — | 2 | 144 | no | — |
| 974 | C2×D3 | — | 3 | 8 | no | — |
| 975 | C2×D3 | — | 3 | 4 | no | — |
| 976 | C2×D3 | — | 3 | 32 | no | — |
| 977 | C2×D3 | — | 3 | 36 | no | — |
| 978 | C2×D3 | — | 4 | 144 | no | — |
| 979 | C2×D3 | — | 6 | 2 | no | — |
| 980 | C2×D3 | — | 6 | 4 | no | — |
| 981 | C2×D3 | — | 6 | 18 | no | — |
| 982 | C2×D3 | — | 6 | 144 | no | — |
| 983 | C2×D3 | — | 6 | 144 | no | — |
| 984 | C2×D3 | — | 6 | 144 | no | — |
| 985 | C2×D3 | — | 6 | 36 | no | — |
| 986 | C2×D3 | — | 6 | 144 | no | — |
| 987 | C2×D3 | — | 12 | 72 | no | — |
| 988 | C2×D3 | — | 12 | 18 | no | — |
| 989 | C2×D3 | — | 12 | 288 | no | — |
| 990 | C2×D3 | — | 12 | 144 | no | — |
| 991 | C2×D3 | — | 24 | 72 | no | — |
| 992 | C2×D3 | D3×H(5,𝔽2) | 1 | 8 | yes | direct product factor |
| 993 | C2×D3 | C25×D3 | 1 | 36 | yes | — |
| 994 | C2×D3 | C25×D3 | 1 | 4 | yes | — |
| 995 | C3×C4 | — | 2 | 12 | no | — |
| 996 | C3×C4 | — | 3 | 24 | no | — |
| 997 | C3×C4 | C25×D3 | 1 | 24 | yes | — |
| 998 | Dic3 | — | 3 | 24 | no | — |
| 999 | Dic3 | — | 6 | 12 | no | — |
| 1000 | Dic3 | C25×D3 | 1 | 24 | yes | — |
| 1001 | C32 | C23×H(5,𝔽2) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1002 | C23 | — | 3 | 2 | no | — |
| 1003 | C23 | — | 3 | 72 | no | — |
| 1004 | C23 | — | 3 | 18 | no | — |
| 1005 | C23 | — | 3 | 144 | no | — |
| 1006 | C23 | — | 4 | 12 | no | — |
| 1007 | C23 | — | 6 | 72 | no | — |
| 1008 | C23 | — | 9 | 4 | no | — |
| 1009 | C23 | — | 9 | 8 | no | — |
| 1010 | C23 | — | 9 | 72 | no | — |
| 1011 | C23 | — | 9 | 36 | no | — |
| 1012 | C23 | — | 9 | 144 | no | — |
| 1013 | C23 | — | 9 | 1 | no | — |
| 1014 | C23 | — | 9 | 36 | no | — |
| 1015 | C23 | — | 9 | 9 | no | — |
| 1016 | C23 | — | 9 | 72 | no | — |
| 1017 | C23 | — | 12 | 72 | no | — |
| 1018 | C23 | — | 12 | 192 | no | — |
| 1019 | C23 | — | 18 | 36 | no | — |
| 1020 | C23 | — | 18 | 72 | no | — |
| 1021 | C23 | — | 18 | 288 | no | — |
| 1022 | C23 | — | 18 | 36 | no | — |
| 1023 | C23 | — | 36 | 36 | no | — |
| 1024 | C23 | — | 36 | 96 | no | — |
| 1025 | C23 | — | 36 | 72 | no | — |
| 1026 | C23 | — | 36 | 576 | no | — |
| 1027 | C23 | — | 36 | 288 | no | — |
| 1028 | C23 | C23×D32 | 1 | 9 | yes | — |
| 1029 | C23 | C23×D32 | 1 | 24 | yes | complemented |
| 1030 | Q8 | — | 3 | 48 | no | — |
| 1031 | Q8 | — | 9 | 48 | no | — |
| 1032 | Q8 | — | 9 | 24 | no | — |
| 1033 | Q8 | C23×D32 | 1 | 8 | yes | complemented |
| 1034 | D4 | — | 3 | 288 | no | — |
| 1035 | D4 | — | 3 | 144 | no | — |
| 1036 | D4 | — | 9 | 288 | no | — |
| 1037 | D4 | — | 9 | 144 | no | — |
| 1038 | D4 | — | 9 | 144 | no | — |
| 1039 | D4 | — | 9 | 72 | no | — |
| 1040 | D4 | C23×D32 | 1 | 72 | yes | complemented |
| 1041 | C2×C4 | — | 3 | 72 | no | — |
| 1042 | C2×C4 | — | 3 | 12 | no | — |
| 1043 | C2×C4 | — | 3 | 48 | no | — |
| 1044 | C2×C4 | — | 3 | 144 | no | — |
| 1045 | C2×C4 | — | 9 | 24 | no | — |
| 1046 | C2×C4 | — | 9 | 72 | no | — |
| 1047 | C2×C4 | — | 9 | 48 | no | — |
| 1048 | C2×C4 | — | 9 | 144 | no | — |
| 1049 | C2×C4 | — | 9 | 36 | no | — |
| 1050 | C2×C4 | — | 9 | 6 | no | — |
| 1051 | C2×C4 | — | 9 | 24 | no | — |
| 1052 | C2×C4 | — | 9 | 72 | no | — |
| 1053 | C2×C4 | C23×D32 | 1 | 6 | yes | — |
| 1054 | C2×C4 | C23×D32 | 1 | 36 | yes | complemented |
| 1055 | C2×C3 | — | 2 | 36 | no | — |
| 1056 | C2×C3 | — | 2 | 2 | no | — |
| 1057 | C2×C3 | — | 2 | 1 | no | — |
| 1058 | C2×C3 | — | 3 | 8 | no | — |
| 1059 | C2×C3 | — | 4 | 18 | no | — |
| 1060 | C2×C3 | — | 6 | 36 | no | — |
| 1061 | C2×C3 | C2×D3×H(5,𝔽2) | 1 | 4 | yes | complemented |
| 1062 | C2×C3 | C26×D3 | 1 | 2 | yes | — |
| 1063 | D3 | — | 2 | 36 | no | — |
| 1064 | D3 | — | 3 | 8 | no | — |
| 1065 | D3 | — | 6 | 4 | no | — |
| 1066 | D3 | — | 6 | 36 | no | — |
| 1067 | D3 | — | 12 | 18 | no | — |
| 1068 | D3 | C2×D3×H(5,𝔽2) | 1 | 8 | yes | direct product factor |
| 1069 | C22 | — | 2 | 18 | no | — |
| 1070 | C22 | — | 3 | 8 | no | — |
| 1071 | C22 | — | 3 | 4 | no | — |
| 1072 | C22 | — | 3 | 36 | no | — |
| 1073 | C22 | — | 4 | 24 | no | — |
| 1074 | C22 | — | 6 | 144 | no | — |
| 1075 | C22 | — | 6 | 36 | no | — |
| 1076 | C22 | — | 9 | 16 | no | — |
| 1077 | C22 | — | 9 | 4 | no | — |
| 1078 | C22 | — | 9 | 2 | no | — |
| 1079 | C22 | — | 9 | 18 | no | — |
| 1080 | C22 | — | 12 | 144 | no | — |
| 1081 | C22 | — | 18 | 72 | no | — |
| 1082 | C22 | — | 18 | 144 | no | — |
| 1083 | C22 | — | 18 | 72 | no | — |
| 1084 | C22 | — | 18 | 18 | no | — |
| 1085 | C22 | — | 36 | 72 | no | — |
| 1086 | C22 | — | 36 | 144 | no | — |
| 1087 | C22 | C24×D32 | 1 | 18 | yes | — |
| 1088 | C22 | C24×D32 | 1 | 1 | yes | characteristic |
| 1089 | C4 | — | 3 | 24 | no | — |
| 1090 | C4 | — | 9 | 12 | no | — |
| 1091 | C4 | C24×D32 | 1 | 12 | yes | — |
| 1092 | C3 | — | 2 | 1 | no | — |
| 1093 | C3 | C22×D3×H(5,𝔽2) | 1 | 2 | yes | complemented |
| 1094 | C2 | — | 2 | 18 | no | — |
| 1095 | C2 | — | 3 | 8 | no | — |
| 1096 | C2 | — | 6 | 36 | no | — |
| 1097 | C2 | — | 9 | 4 | no | — |
| 1098 | C2 | — | 18 | 18 | no | — |
| 1099 | C2 | D32×H(5,𝔽2) | 1 | 2 | yes | direct product factor |
| 1100 | C2 | C25×D32 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|
| 1. C2×#10596692 | C2 | semidirect |
| 2. C2×D3×#1009 | C2 | semidirect |
| 3. C2×#10596675 | C2 | semidirect |
| 4. C2×D3×#1004 | C2 | semidirect |
| 5. D32×H(5,𝔽2) | C2 | direct (N × H) |
| 6. C2×C3×D3×H(5,𝔽2) | C2 | semidirect |
| 7. C2×C3⋊D3×H(5,𝔽2) | C2 | semidirect |
| 8. C2×D32×#41 | C2 | semidirect |
| 9. C22×D32×D4 | C2 | semidirect |
| 11. C24×D32 | C22 | semidirect |
| 12. C2×C32×H(5,𝔽2) | C22 | semidirect |
| 13. C3⋊D3×H(5,𝔽2) | C22 | semidirect |
| 14. C2×#64366 | C22 | semidirect |
| 15. C2×#41×C3⋊D3 | C22 | semidirect |
| 16. C2×#64361 | C22 | semidirect |
| 17. C22×D4×C3⋊D3 | C22 | semidirect |
| 18. C3×D3×H(5,𝔽2) | C22 | semidirect |
| 19. C2×C3×#1009 | C22 | semidirect |
| 20. C2×C3×D3×#41 | C22 | semidirect |
| 21. C2×C3×#1004 | C22 | semidirect |
| 22. C22×C3×D3×D4 | C22 | semidirect |
| 23. C2×#64330 | C22 | semidirect |
| 24. C22×#3811 | C22 | semidirect |
| 25. C22×D3×#67 | C22 | semidirect |
| 26. #10596692 | C22 | semidirect |
| 27. D3×#1009 | C22 | semidirect |
| 28. D32×#41 | C22 | semidirect |
| 29. C2×#64320 | C22 | semidirect |
| 30. C2×#64319 | C22 | semidirect |
| 31. C2×D3×#239 | C22 | semidirect |
| 32. C2×D32×Q8 | C22 | semidirect |
| 33. C2×#64314 | C22 | semidirect |
| 34. C2×#64313 | C22 | semidirect |
| 35. #10596675 | C22 | semidirect |
| 36. D3×#1004 | C22 | semidirect |
| 37. C2×#64312 | C22 | semidirect |
| 38. C2×D3×#237 | C22 | semidirect |
| 39. C2×D32×D4 | C22 | semidirect |
| 40. C2×D32×D4 | C22 | semidirect |
| 41. C2×D32×D4 | C22 | semidirect |
| 42. C2×D32×D4 | C22 | semidirect |
| 43. C2×#64308 | C22 | semidirect |
| 44. C2×#64307 | C22 | semidirect |
| 45. C2×#64306 | C22 | semidirect |
| 46. C2×D3×#235 | C22 | semidirect |
| 47. C22×#3802 | C22 | semidirect |
| 48. C22×D3×D12 | C22 | semidirect |
| 49. C22×C4×D32 | C22 | semidirect |
| 58. C2×D3×H(5,𝔽2) | D3 | direct (N × H) |
| 63. C24×C3⋊D3 | C23 | semidirect |
| 64. C24×C3×D3 | C23 | semidirect |
| 67. C23×D32 | C23 | semidirect |
| 68. C23×D32 | C23 | semidirect |
| 69. C23×D32 | C23 | semidirect |
| 70. C32×H(5,𝔽2) | C23 | semidirect |
| 71. C2×C32×#41 | C23 | semidirect |
| 72. C22×C32×D4 | C23 | semidirect |
| 73. C22×#638 | C23 | semidirect |
| 74. #64366 | C23 | semidirect |
| 75. #41×C3⋊D3 | C23 | semidirect |
| 76. C2×#3832 | C23 | semidirect |
| 77. C2×Q8×C3⋊D3 | C23 | semidirect |
| 78. #64361 | C23 | semidirect |
| 79. C2×#3830 | C23 | semidirect |
| 80. C2×D4×C3⋊D3 | C23 | semidirect |
| 81. C2×D4×C3⋊D3 | C23 | semidirect |
| 82. C2×D4×C3⋊D3 | C23 | semidirect |
| 83. C2×#3828 | C23 | semidirect |
| 84. C22×C4⋊(C3⋊D3) | C23 | semidirect |
| 85. C22×C4×C3⋊D3 | C23 | semidirect |
| 86. C22×C3×#67 | C23 | semidirect |
| 87. C3×#1009 | C23 | semidirect |
| 88. C3×D3×#41 | C23 | semidirect |
| 89. C2×C3×#239 | C23 | semidirect |
| 90. C2×C3×D3×Q8 | C23 | semidirect |
| 91. C3×#1004 | C23 | semidirect |
| 92. C2×C3×#237 | C23 | semidirect |
| 93. C2×C3×D3×D4 | C23 | semidirect |
| 94. C2×C3×D3×D4 | C23 | semidirect |
| 95. C2×C3×D3×D4 | C23 | semidirect |
| 96. C2×C3×#235 | C23 | semidirect |
| 97. C22×C3×D12 | C23 | semidirect |
| 98. C22×C3×C4×D3 | C23 | semidirect |
| 99. #64330 | C23 | semidirect |
| 100. C2×#3811 | C23 | semidirect |
| 101. C2×#3811 | C23 | semidirect |
| 102. C2×#3811 | C23 | semidirect |
| 103. C2×D3×#67 | C23 | semidirect |
| 104. C2×D3×#67 | C23 | semidirect |
| 105. C2×D3×#67 | C23 | semidirect |
| 106. C22×#626 | C23 | semidirect |
| 107. C22×#625 | C23 | semidirect |
| 108. C22×#624 | C23 | semidirect |
| 109. C2×#3805 | C23 | semidirect |
| 110. C2×#3804 | C23 | semidirect |
| 111. C22×D3×Dic3 | C23 | semidirect |
| 112. #64320 | C23 | semidirect |
| 113. #64319 | C23 | semidirect |
| 114. D3×#239 | C23 | semidirect |
| 115. D32×Q8 | C23 | semidirect |
| 116. #64314 | C23 | semidirect |
| 117. #64313 | C23 | semidirect |
| 118. #64312 | C23 | semidirect |
| 119. D3×#237 | C23 | semidirect |
| 120. D32×D4 | C23 | semidirect |
| 121. D32×D4 | C23 | semidirect |
| 122. D32×D4 | C23 | semidirect |
| 123. #64308 | C23 | semidirect |
| 124. #64307 | C23 | semidirect |
| 125. #64306 | C23 | semidirect |
| 126. D3×#235 | C23 | semidirect |
| 127. C2×#3802 | C23 | semidirect |
| 128. C2×#3802 | C23 | semidirect |
| 129. C2×#3802 | C23 | semidirect |
| 130. C2×D3×D12 | C23 | semidirect |
| 131. C2×D3×D12 | C23 | semidirect |
| 132. C2×D3×D12 | C23 | semidirect |
| 134. C2×C4×D32 | C23 | semidirect |
| 135. C2×C4×D32 | C23 | semidirect |
| 136. C2×C4×D32 | C23 | semidirect |
| 137. C2×#3799 | C23 | semidirect |
| 138. C2×#3798 | C23 | semidirect |
| 139. C2×#3797 | C23 | semidirect |
| 140. C2×#3796 | C23 | semidirect |
| 141. C2×#3795 | C23 | semidirect |
| 142. C2×D3×Dic6 | C23 | semidirect |
| 149. C2×C3×H(5,𝔽2) | C2×D3 | semidirect |
| 159. D3×H(5,𝔽2) | C2×D3 | direct (N × H) |
| 167. C2×#1009 | C2×D3 | semidirect |
| 177. C2×D3×#41 | C2×D3 | semidirect |
| 187. C2×#1004 | C2×D3 | semidirect |
| 200. C22×D3×D4 | C2×D3 | semidirect |
| 204. C24×C32 | C24 | semidirect |
| 207. C23×C3⋊D3 | C24 | semidirect |
| 208. C23×C3⋊D3 | C24 | semidirect |
| 211. C23×C3×D3 | C24 | semidirect |
| 212. C23×C3×D3 | C24 | semidirect |
| 221. C22×D32 | C24 | semidirect |
| 222. C22×D32 | C24 | semidirect |
| 223. C22×D32 | C24 | semidirect |
| 224. C32×#41 | C24 | semidirect |
| 225. C2×C32×Q8 | C24 | semidirect |
| 226. C2×C32×D4 | C24 | semidirect |
| 227. C2×C32×D4 | C24 | semidirect |
| 228. C22×C32×C4 | C24 | semidirect |
| 229. C2×#638 | C24 | semidirect |
| 230. C2×#638 | C24 | semidirect |
| 231. C22×C3⋊Dic3 | C24 | semidirect |
| 232. #3832 | C24 | semidirect |
| 233. Q8×C3⋊D3 | C24 | semidirect |
| 234. #3830 | C24 | semidirect |
| 235. D4×C3⋊D3 | C24 | semidirect |
| 236. D4×C3⋊D3 | C24 | semidirect |
| 237. #3828 | C24 | semidirect |
| 238. C2×C4⋊(C3⋊D3) | C24 | semidirect |
| 239. C2×C4⋊(C3⋊D3) | C24 | semidirect |
| 241. C2×C4×C3⋊D3 | C24 | semidirect |
| 242. C2×C4×C3⋊D3 | C24 | semidirect |
| 243. C2×#634 | C24 | semidirect |
| 244. C2×C3×#67 | C24 | semidirect |
| 245. C2×C3×#67 | C24 | semidirect |
| 246. C22×C3×Dic3 | C24 | semidirect |
| 247. C3×#239 | C24 | semidirect |
| 248. C3×D3×Q8 | C24 | semidirect |
| 249. C3×#237 | C24 | semidirect |
| 250. C3×D3×D4 | C24 | semidirect |
| 251. C3×D3×D4 | C24 | semidirect |
| 252. C3×#235 | C24 | semidirect |
| 253. C2×C3×D12 | C24 | semidirect |
| 254. C2×C3×D12 | C24 | semidirect |
| 256. C2×C3×C4×D3 | C24 | semidirect |
| 257. C2×C3×C4×D3 | C24 | semidirect |
| 258. C2×C3×Dic6 | C24 | semidirect |
| 259. #3811 | C24 | semidirect |
| 260. #3811 | C24 | semidirect |
| 261. D3×#67 | C24 | semidirect |
| 262. D3×#67 | C24 | semidirect |
| 263. C2×#627 | C24 | semidirect |
| 264. C2×#626 | C24 | semidirect |
| 265. C2×#626 | C24 | semidirect |
| 266. C2×#625 | C24 | semidirect |
| 267. C2×#625 | C24 | semidirect |
| 269. C2×#624 | C24 | semidirect |
| 270. C2×#624 | C24 | semidirect |
| 271. #3805 | C24 | semidirect |
| 272. #3804 | C24 | semidirect |
| 274. C2×D3×Dic3 | C24 | semidirect |
| 275. C2×D3×Dic3 | C24 | semidirect |
| 276. #3802 | C24 | semidirect |
| 277. #3802 | C24 | semidirect |
| 278. D3×D12 | C24 | semidirect |
| 279. D3×D12 | C24 | semidirect |
| 281. C4×D32 | C24 | semidirect |
| 282. C4×D32 | C24 | semidirect |
| 283. #3799 | C24 | semidirect |
| 284. #3798 | C24 | semidirect |
| 285. #3797 | C24 | semidirect |
| 286. #3796 | C24 | semidirect |
| 287. #3795 | C24 | semidirect |
| 288. D3×Dic6 | C24 | semidirect |
| 307. C24×D3 | C22×D3 | semidirect |
| 311. C3×H(5,𝔽2) | C22×D3 | semidirect |
| 317. C2×C3×#41 | C22×D3 | semidirect |
| 325. C22×C3×D4 | C22×D3 | semidirect |
| 334. C22×#67 | C22×D3 | semidirect |
| 342. #1009 | C22×D3 | semidirect |
| 351. D3×#41 | C22×D3 | semidirect |
| 357. C2×#239 | C22×D3 | semidirect |
| 363. C2×D3×Q8 | C22×D3 | semidirect |
| 370. #1004 | C22×D3 | semidirect |
| 378. C2×#237 | C22×D3 | semidirect |
| 401. C2×D3×D4 | C22×D3 | semidirect |
| 402. C2×D3×D4 | C22×D3 | semidirect |
| 403. C2×D3×D4 | C22×D3 | semidirect |
| 411. C2×#235 | C22×D3 | semidirect |
| 418. C22×D12 | C22×D3 | semidirect |
| 428. C22×C4×D3 | C22×D3 | semidirect |
| 432. C23×C32 | C25 | semidirect |
| 439. C22×C3⋊D3 | C25 | semidirect |
| 446. C22×C3×D3 | C25 | semidirect |
| 453. C2×D32 | H(5,𝔽2) | direct (N × H) |
| 457. C2×D32 | C25 | semidirect |
| 458. C32×Q8 | C25 | semidirect |
| 459. C32×D4 | C25 | semidirect |
| 461. C2×C32×C4 | C25 | semidirect |
| 462. #638 | C25 | semidirect |
| 464. C2×C3⋊Dic3 | C25 | semidirect |
| 465. C4⋊(C3⋊D3) | C25 | semidirect |
| 467. C4×C3⋊D3 | C25 | semidirect |
| 468. #634 | C25 | semidirect |
| 469. C3×#67 | C25 | semidirect |
| 471. C2×C3×Dic3 | C25 | semidirect |
| 472. C3×D12 | C25 | semidirect |
| 474. C3×C4×D3 | C25 | semidirect |
| 475. C3×Dic6 | C25 | semidirect |
| 476. #627 | C25 | semidirect |
| 477. #626 | C25 | semidirect |
| 478. #625 | C25 | semidirect |
| 480. #624 | C25 | semidirect |
| 482. D3×Dic3 | C25 | semidirect |
| 500. C2×H(5,𝔽2) | D32 | direct (N × H) |
| 527. C24×C3 | C23×D3 | semidirect |
| 552. C23×D3 | C23×D3 | semidirect |
| 553. C23×D3 | C23×D3 | semidirect |
| 558. C3×#41 | C23×D3 | semidirect |
| 562. C2×C3×Q8 | C23×D3 | semidirect |
| 571. C2×C3×D4 | C23×D3 | semidirect |
| 572. C2×C3×D4 | C23×D3 | semidirect |
| 578. C22×C3×C4 | C23×D3 | semidirect |
| 589. C2×#67 | C23×D3 | semidirect |
| 590. C2×#67 | C23×D3 | semidirect |
| 596. C22×Dic3 | C23×D3 | semidirect |
| 601. #239 | C23×D3 | semidirect |
| 606. D3×Q8 | C23×D3 | semidirect |
| 613. #237 | C23×D3 | semidirect |
| 626. D3×D4 | C23×D3 | semidirect |
| 627. D3×D4 | C23×D3 | semidirect |
| 634. #235 | C23×D3 | semidirect |
| 643. C2×D12 | C23×D3 | semidirect |
| 644. C2×D12 | C23×D3 | semidirect |
| 662. C2×C4×D3 | C23×D3 | semidirect |
| 663. C2×C4×D3 | C23×D3 | semidirect |
| 668. C2×Dic6 | C23×D3 | semidirect |
| 676. C2×C3⋊D3 | C2×H(5,𝔽2) | semidirect |
| 682. C2×C3×D3 | C2×H(5,𝔽2) | semidirect |
| 688. D32 | C2×H(5,𝔽2) | direct (N × H) |
| 709. H(5,𝔽2) | C2×D32 | direct (N × H) |
| 730. C2×#41 | C2×D32 | semidirect |
| 763. C22×D4 | C2×D32 | semidirect |
| 784. C23×C3 | C24×D3 | semidirect |
| 819. C22×D3 | C24×D3 | semidirect |
| 822. C3×Q8 | C24×D3 | semidirect |
| 826. C3×D4 | C24×D3 | semidirect |
| 834. C2×C3×C4 | C24×D3 | semidirect |
| 839. #67 | C24×D3 | semidirect |
| 847. C2×Dic3 | C24×D3 | semidirect |
| 851. D12 | C24×D3 | semidirect |
| 861. C4×D3 | C24×D3 | semidirect |
| 865. Dic6 | C24×D3 | semidirect |
| 867. C2×C32 | C22×H(5,𝔽2) | semidirect |
| 870. C3⋊D3 | C22×H(5,𝔽2) | semidirect |
| 872. C3×D3 | C22×H(5,𝔽2) | semidirect |
| 892. C24 | C22×D32 | semidirect |
| 905. #41 | C22×D32 | semidirect |
| 913. C2×Q8 | C22×D32 | semidirect |
| 938. C2×D4 | C22×D32 | semidirect |
| 939. C2×D4 | C22×D32 | semidirect |
| 957. C22×C4 | C22×D32 | semidirect |
| 992. C2×D3 | D3×H(5,𝔽2) | direct (N × H) |
| 1001. C32 | C23×H(5,𝔽2) | semidirect |
| 1029. C23 | C23×D32 | semidirect |
| 1033. Q8 | C23×D32 | semidirect |
| 1040. D4 | C23×D32 | semidirect |
| 1054. C2×C4 | C23×D32 | semidirect |
| 1061. C2×C3 | C2×D3×H(5,𝔽2) | semidirect |
| 1068. D3 | C2×D3×H(5,𝔽2) | direct (N × H) |
| 1093. C3 | C22×D3×H(5,𝔽2) | semidirect |
| 1099. C2 | D32×H(5,𝔽2) | direct (N × H) |
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta