Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2367 conjugacy classes of subgroups; only the 174 normal subgroups are shown.
This group has 2367 conjugacy classes of subgroups — too many to draw. Only its 174 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 | #10596675 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3⋊D3×#120 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10595527 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | C3×#5032 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10591725 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10591531 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10591527 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10590410 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10590404 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | D3×B(4,𝔽2) | — | 3 | 2 | no | maximal |
| 11 | C24×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | C2×D4×C3⋊D3 | — | 2 | 1 | no | — |
| 13 | C2×D4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×#1004 | C22 | 1 | 2 | yes | complemented |
| 15 | #64330 | — | 2 | 1 | no | — |
| 16 | #64330 | C22 | 1 | 2 | yes | complemented |
| 17 | C2×#3811 | — | 2 | 1 | no | — |
| 18 | C2×#3811 | — | 2 | 2 | no | — |
| 19 | C2×#3811 | C22 | 1 | 2 | yes | — |
| 20 | #64314 | — | 2 | 4 | no | — |
| 21 | #64312 | — | 2 | 2 | no | — |
| 22 | D32×D4 | — | 2 | 2 | no | — |
| 23 | #64308 | — | 2 | 1 | no | — |
| 24 | #64306 | — | 2 | 1 | no | — |
| 25 | C32×#120 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #64162 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #64146 | — | 2 | 1 | no | — |
| 28 | #64146 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #64091 | — | 2 | 1 | no | — |
| 30 | #64091 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C22⋊C4×C3⋊D3 | — | 2 | 1 | no | — |
| 32 | C22⋊C4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C3×#953 | C22 | 1 | 4 | yes | complemented |
| 34 | #63981 | — | 2 | 4 | no | — |
| 35 | #63981 | C22 | 1 | 4 | yes | complemented |
| 36 | #63974 | — | 2 | 2 | no | — |
| 37 | #63974 | C22 | 1 | 2 | yes | complemented |
| 38 | C3×#834 | C22 | 1 | 2 | yes | complemented |
| 39 | C3×#806 | C22 | 1 | 4 | yes | complemented |
| 40 | #63581 | C22 | 1 | 2 | yes | complemented |
| 41 | #63580 | C22 | 1 | 4 | yes | complemented |
| 42 | D3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 43 | D3×#120 | — | 3 | 2 | no | — |
| 44 | D3×#120 | — | 3 | 4 | no | — |
| 45 | D3×#120 | — | 6 | 1 | no | — |
| 46 | C3×B(4,𝔽2) | — | 3 | 2 | no | — |
| 47 | #5244 | — | 3 | 2 | no | — |
| 48 | #5032 | — | 3 | 4 | no | — |
| 49 | #5032 | D3 | 1 | 2 | yes | complemented |
| 50 | D3×#99 | — | 3 | 2 | no | — |
| 51 | D3×#99 | — | 3 | 4 | no | — |
| 52 | #4741 | — | 3 | 2 | no | — |
| 53 | #4741 | — | 3 | 4 | no | — |
| 54 | C24×C32 | C23 | 1 | 1 | yes | characteristic, complemented |
| 55 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 56 | C23×C3⋊D3 | — | 2 | 2 | no | — |
| 57 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 58 | C23×C3⋊D3 | — | 2 | 2 | no | — |
| 59 | C23×C3⋊D3 | — | 4 | 4 | no | — |
| 60 | C23×C3⋊D3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 61 | C23×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 62 | C23×C3⋊D3 | C23 | 1 | 1 | yes | characteristic, complemented |
| 63 | C22×D32 | — | 2 | 1 | no | — |
| 64 | C22×D32 | D4 | 1 | 2 | yes | complemented |
| 65 | C2×C32×D4 | — | 2 | 1 | no | — |
| 66 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic |
| 67 | C2×#638 | — | 2 | 1 | no | — |
| 68 | C2×#638 | — | 2 | 1 | no | — |
| 69 | C2×#638 | D4 | 1 | 1 | yes | characteristic, complemented |
| 70 | C2×#638 | C23 | 1 | 1 | yes | characteristic |
| 71 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 72 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 73 | D4×C3⋊D3 | — | 4 | 4 | no | — |
| 74 | C2×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 75 | C2×C4⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic, complemented |
| 76 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 77 | C2×C4×C3⋊D3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 78 | C2×C3×#67 | — | 2 | 2 | no | — |
| 79 | C2×C3×#67 | — | 2 | 4 | no | — |
| 80 | C2×C3×#67 | C23 | 1 | 4 | yes | — |
| 81 | C3×#237 | — | 2 | 4 | no | — |
| 82 | C3×D3×D4 | — | 2 | 4 | no | — |
| 83 | C3×#235 | — | 2 | 2 | no | — |
| 84 | #3811 | — | 2 | 2 | no | — |
| 85 | #3811 | — | 2 | 2 | no | — |
| 86 | #3811 | — | 2 | 2 | no | — |
| 87 | #3811 | — | 2 | 2 | no | — |
| 88 | #3811 | — | 2 | 2 | no | — |
| 89 | #3811 | — | 2 | 2 | no | — |
| 90 | #3811 | — | 2 | 2 | no | — |
| 91 | #3811 | — | 4 | 8 | no | — |
| 92 | D3×#67 | — | 2 | 4 | no | — |
| 93 | D3×#67 | — | 2 | 4 | no | — |
| 94 | C2×#626 | — | 2 | 2 | no | — |
| 95 | C2×#626 | — | 2 | 4 | no | — |
| 96 | C2×#626 | D4 | 1 | 4 | yes | complemented |
| 97 | C2×#624 | — | 2 | 1 | no | — |
| 98 | C2×#624 | — | 2 | 2 | no | — |
| 99 | C2×#624 | D4 | 1 | 2 | yes | complemented |
| 100 | #3805 | — | 2 | 2 | no | — |
| 101 | #3804 | — | 2 | 4 | no | — |
| 102 | #3804 | — | 2 | 4 | no | — |
| 103 | #3802 | — | 2 | 1 | no | — |
| 104 | D3×D12 | — | 2 | 4 | no | — |
| 105 | C4×D32 | — | 2 | 2 | no | — |
| 106 | #3799 | — | 2 | 4 | no | — |
| 107 | #3798 | — | 2 | 2 | no | — |
| 108 | #3797 | — | 2 | 1 | no | — |
| 109 | #3796 | — | 2 | 2 | no | — |
| 110 | C32×C22⋊C4 | — | 2 | 1 | no | — |
| 111 | C32×C22⋊C4 | C23 | 1 | 1 | yes | characteristic, complemented |
| 112 | #3757 | — | 2 | 1 | no | — |
| 113 | #3757 | C23 | 1 | 1 | yes | characteristic, complemented |
| 114 | #3752 | — | 2 | 1 | no | — |
| 115 | #3752 | — | 2 | 1 | no | — |
| 116 | #3752 | — | 2 | 1 | no | — |
| 117 | C3×#217 | — | 2 | 4 | no | — |
| 118 | C3×#217 | C23 | 1 | 4 | yes | complemented |
| 119 | #3722 | — | 2 | 2 | no | — |
| 120 | #3722 | — | 2 | 4 | no | — |
| 121 | C2×B(4,𝔽2) | — | 9 | 1 | no | Sylow |
| 122 | C24×D3 | — | 3 | 2 | no | — |
| 123 | C24×D3 | — | 6 | 1 | no | — |
| 124 | C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 125 | #1009 | — | 6 | 2 | no | — |
| 126 | #1009 | — | 6 | 4 | no | — |
| 127 | D3×#41 | — | 6 | 2 | no | — |
| 128 | D3×#41 | — | 6 | 4 | no | — |
| 129 | #1004 | — | 3 | 4 | no | — |
| 130 | #1004 | — | 6 | 4 | no | — |
| 131 | #1004 | — | 6 | 2 | no | — |
| 132 | #1004 | C2×D3 | 1 | 2 | yes | complemented |
| 133 | C2×D3×D4 | — | 3 | 2 | no | — |
| 134 | C2×D3×D4 | — | 3 | 4 | no | — |
| 135 | C2×D3×D4 | — | 6 | 1 | no | — |
| 136 | C2×D3×D4 | — | 6 | 4 | no | — |
| 137 | C2×D3×D4 | — | 6 | 2 | no | — |
| 138 | C2×D3×D4 | — | 6 | 4 | no | — |
| 139 | C2×D3×D4 | — | 6 | 2 | no | — |
| 140 | C2×D3×D4 | — | 6 | 2 | no | — |
| 141 | C3×#120 | — | 2 | 1 | no | — |
| 142 | C3×#120 | — | 3 | 4 | no | — |
| 143 | C3×#120 | C2×D3 | 1 | 2 | yes | complemented |
| 144 | #953 | — | 3 | 2 | no | — |
| 145 | #953 | — | 6 | 1 | no | — |
| 146 | #953 | C2×D3 | 1 | 4 | yes | complemented |
| 147 | #937 | — | 3 | 2 | no | — |
| 148 | #937 | — | 3 | 4 | no | — |
| 149 | #937 | — | 6 | 1 | no | — |
| 150 | #937 | — | 6 | 4 | no | — |
| 151 | #937 | — | 6 | 2 | no | — |
| 152 | #937 | — | 6 | 2 | no | — |
| 153 | #882 | — | 3 | 4 | no | — |
| 154 | #882 | — | 3 | 2 | no | — |
| 155 | #882 | — | 6 | 1 | no | — |
| 156 | #882 | — | 6 | 2 | no | — |
| 157 | #882 | — | 6 | 2 | no | — |
| 158 | #882 | — | 6 | 4 | no | — |
| 159 | D3×C22⋊C4 | — | 3 | 2 | no | — |
| 160 | D3×C22⋊C4 | — | 3 | 4 | no | — |
| 161 | D3×C22⋊C4 | — | 6 | 1 | no | — |
| 162 | D3×C22⋊C4 | — | 6 | 4 | no | — |
| 163 | D3×C22⋊C4 | — | 6 | 2 | no | — |
| 164 | D3×C22⋊C4 | — | 6 | 2 | no | — |
| 165 | C3×#99 | — | 3 | 2 | no | — |
| 166 | C3×#99 | — | 3 | 4 | no | — |
| 167 | #834 | — | 3 | 4 | no | — |
| 168 | #834 | C2×D3 | 1 | 2 | yes | complemented |
| 169 | #806 | — | 3 | 4 | no | — |
| 170 | #806 | — | 3 | 4 | no | — |
| 171 | #806 | C2×D3 | 1 | 4 | yes | complemented |
| 172 | C23×C32 | — | 2 | 1 | no | — |
| 173 | C23×C32 | — | 2 | 2 | no | — |
| 174 | C23×C32 | — | 4 | 2 | no | — |
| 175 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 176 | C23×C32 | C24 | 1 | 1 | yes | characteristic |
| 177 | C22×C3⋊D3 | — | 2 | 4 | no | — |
| 178 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 179 | C22×C3⋊D3 | — | 2 | 8 | no | — |
| 180 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 181 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 182 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 183 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 184 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 185 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 186 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 187 | C22×C3⋊D3 | — | 4 | 4 | no | — |
| 188 | C22×C3⋊D3 | — | 4 | 4 | no | — |
| 189 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 190 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 191 | C22×C3⋊D3 | — | 4 | 4 | no | — |
| 192 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 193 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 194 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 195 | C22×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 196 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C22×C3⋊D3 | C2×D4 | 1 | 2 | yes | — |
| 198 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 200 | C22×C3×D3 | — | 2 | 2 | no | — |
| 201 | C22×C3×D3 | C2×D4 | 1 | 4 | yes | complemented |
| 202 | C2×D32 | — | 2 | 2 | no | — |
| 203 | C2×D32 | — | 2 | 2 | no | — |
| 204 | C2×D32 | — | 2 | 2 | no | — |
| 205 | C2×D32 | — | 4 | 4 | no | — |
| 206 | C2×D32 | — | 8 | 2 | no | — |
| 207 | C32×D4 | — | 2 | 2 | no | — |
| 208 | C32×D4 | — | 4 | 2 | no | — |
| 209 | C2×C32×C4 | — | 2 | 1 | no | — |
| 210 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 211 | #638 | — | 2 | 2 | no | — |
| 212 | #638 | — | 2 | 2 | no | — |
| 213 | #638 | — | 4 | 2 | no | — |
| 214 | #638 | — | 4 | 2 | no | — |
| 215 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 216 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 217 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 218 | C4⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 219 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 220 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 221 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 222 | C3×#67 | — | 2 | 4 | no | — |
| 223 | C3×#67 | — | 2 | 4 | no | — |
| 224 | C3×#67 | — | 2 | 4 | no | — |
| 225 | C3×#67 | — | 4 | 8 | no | — |
| 226 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 227 | C2×C3×Dic3 | — | 2 | 4 | no | — |
| 228 | C2×C3×Dic3 | C2×D4 | 1 | 4 | yes | complemented |
| 229 | C3×D12 | — | 2 | 2 | no | — |
| 230 | C3×C4×D3 | — | 2 | 4 | no | — |
| 231 | C3×Dic6 | — | 2 | 2 | no | — |
| 232 | #627 | — | 2 | 2 | no | — |
| 233 | #626 | — | 2 | 4 | no | — |
| 234 | #626 | — | 2 | 4 | no | — |
| 235 | #626 | — | 2 | 4 | no | — |
| 236 | #626 | — | 4 | 8 | no | — |
| 237 | #625 | — | 2 | 2 | no | — |
| 238 | #624 | — | 2 | 2 | no | — |
| 239 | #624 | — | 2 | 2 | no | — |
| 240 | #624 | — | 2 | 2 | no | — |
| 241 | #624 | — | 4 | 4 | no | — |
| 242 | D3×Dic3 | — | 2 | 4 | no | — |
| 243 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 244 | C2×#120 | — | 9 | 2 | no | — |
| 245 | C2×#120 | — | 9 | 1 | no | — |
| 246 | B(4,𝔽2) | — | 3 | 2 | no | — |
| 247 | B(4,𝔽2) | — | 9 | 2 | no | — |
| 248 | B(4,𝔽2) | — | 9 | 2 | no | — |
| 249 | B(4,𝔽2) | — | 9 | 2 | no | — |
| 250 | C2×#99 | — | 9 | 1 | no | — |
| 251 | C2×#99 | — | 9 | 2 | no | — |
| 252 | C24×C3 | — | 2 | 1 | no | — |
| 253 | C24×C3 | C22×D3 | 1 | 2 | yes | complemented |
| 254 | C23×D3 | — | 3 | 2 | no | — |
| 255 | C23×D3 | — | 3 | 2 | no | — |
| 256 | C23×D3 | — | 3 | 4 | no | — |
| 257 | C23×D3 | — | 3 | 2 | no | — |
| 258 | C23×D3 | — | 6 | 1 | no | — |
| 259 | C23×D3 | — | 6 | 1 | no | — |
| 260 | C23×D3 | — | 6 | 1 | no | — |
| 261 | C23×D3 | — | 6 | 2 | no | — |
| 262 | C23×D3 | — | 6 | 2 | no | — |
| 263 | C23×D3 | — | 6 | 4 | no | — |
| 264 | C23×D3 | — | 6 | 2 | no | — |
| 265 | C23×D3 | — | 6 | 4 | no | — |
| 266 | C23×D3 | — | 6 | 2 | no | — |
| 267 | C23×D3 | — | 6 | 2 | no | — |
| 268 | C23×D3 | — | 12 | 2 | no | — |
| 269 | C23×D3 | — | 12 | 2 | no | — |
| 270 | C23×D3 | — | 12 | 8 | no | — |
| 271 | C23×D3 | — | 12 | 8 | no | — |
| 272 | C3×#41 | — | 6 | 4 | no | — |
| 273 | C3×#41 | — | 6 | 2 | no | — |
| 274 | C2×C3×D4 | — | 2 | 2 | no | — |
| 275 | C2×C3×D4 | — | 2 | 2 | no | — |
| 276 | C2×C3×D4 | — | 2 | 1 | no | — |
| 277 | C2×C3×D4 | — | 3 | 4 | no | — |
| 278 | C2×C3×D4 | — | 6 | 4 | no | — |
| 279 | C2×C3×D4 | — | 6 | 2 | no | — |
| 280 | C2×C3×D4 | — | 6 | 4 | no | — |
| 281 | C2×C3×D4 | C22×D3 | 1 | 2 | yes | — |
| 282 | C2×#67 | — | 2 | 2 | no | — |
| 283 | C2×#67 | — | 2 | 4 | no | — |
| 284 | C2×#67 | — | 3 | 2 | no | — |
| 285 | C2×#67 | — | 3 | 2 | no | — |
| 286 | C2×#67 | — | 3 | 4 | no | — |
| 287 | C2×#67 | — | 6 | 1 | no | — |
| 288 | C2×#67 | — | 6 | 1 | no | — |
| 289 | C2×#67 | — | 6 | 2 | no | — |
| 290 | C2×#67 | — | 6 | 4 | no | — |
| 291 | C2×#67 | — | 6 | 4 | no | — |
| 292 | C2×#67 | — | 6 | 4 | no | — |
| 293 | C2×#67 | — | 6 | 2 | no | — |
| 294 | C2×#67 | — | 6 | 2 | no | — |
| 295 | C2×#67 | — | 6 | 2 | no | — |
| 296 | C2×#67 | — | 6 | 2 | no | — |
| 297 | C2×#67 | C22×D3 | 1 | 4 | yes | — |
| 298 | #239 | — | 6 | 4 | no | — |
| 299 | #239 | — | 6 | 2 | no | — |
| 300 | D3×Q8 | — | 6 | 2 | no | — |
| 301 | #237 | — | 2 | 4 | no | — |
| 302 | #237 | — | 6 | 2 | no | — |
| 303 | #237 | — | 6 | 4 | no | — |
| 304 | #237 | — | 6 | 4 | no | — |
| 305 | #237 | — | 6 | 4 | no | — |
| 306 | D3×D4 | — | 2 | 4 | no | — |
| 307 | D3×D4 | — | 6 | 4 | no | — |
| 308 | D3×D4 | — | 6 | 2 | no | — |
| 309 | D3×D4 | — | 6 | 4 | no | — |
| 310 | D3×D4 | — | 6 | 4 | no | — |
| 311 | D3×D4 | — | 6 | 4 | no | — |
| 312 | D3×D4 | — | 6 | 4 | no | — |
| 313 | D3×D4 | — | 6 | 4 | no | — |
| 314 | D3×D4 | — | 6 | 4 | no | — |
| 315 | D3×D4 | — | 6 | 4 | no | — |
| 316 | D3×D4 | — | 6 | 4 | no | — |
| 317 | D3×D4 | — | 6 | 4 | no | — |
| 318 | D3×D4 | — | 6 | 4 | no | — |
| 319 | D3×D4 | — | 6 | 4 | no | — |
| 320 | D3×D4 | — | 12 | 2 | no | — |
| 321 | D3×D4 | — | 12 | 2 | no | — |
| 322 | D3×D4 | — | 12 | 16 | no | — |
| 323 | D3×D4 | — | 12 | 8 | no | — |
| 324 | D3×D4 | — | 12 | 8 | no | — |
| 325 | #235 | — | 2 | 2 | no | — |
| 326 | #235 | — | 6 | 4 | no | — |
| 327 | #235 | — | 6 | 4 | no | — |
| 328 | #235 | — | 6 | 4 | no | — |
| 329 | #235 | — | 6 | 4 | no | — |
| 330 | C2×D12 | — | 3 | 4 | no | — |
| 331 | C2×D12 | — | 3 | 2 | no | — |
| 332 | C2×D12 | — | 6 | 1 | no | — |
| 333 | C2×D12 | — | 6 | 4 | no | — |
| 334 | C2×D12 | — | 6 | 2 | no | — |
| 335 | C2×D12 | — | 6 | 2 | no | — |
| 336 | C2×D12 | — | 6 | 2 | no | — |
| 337 | C2×D12 | — | 6 | 4 | no | — |
| 338 | C2×C4×D3 | — | 3 | 2 | no | — |
| 339 | C2×C4×D3 | — | 3 | 4 | no | — |
| 340 | C2×C4×D3 | — | 6 | 1 | no | — |
| 341 | C2×C4×D3 | — | 6 | 4 | no | — |
| 342 | C2×C4×D3 | — | 6 | 2 | no | — |
| 343 | C2×C4×D3 | — | 6 | 4 | no | — |
| 344 | C2×C4×D3 | — | 6 | 2 | no | — |
| 345 | C2×C4×D3 | — | 6 | 2 | no | — |
| 346 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 347 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 348 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 349 | C3×C22⋊C4 | — | 3 | 4 | no | — |
| 350 | C3×C22⋊C4 | — | 6 | 4 | no | — |
| 351 | C3×C22⋊C4 | C22×D3 | 1 | 2 | yes | complemented |
| 352 | #217 | — | 2 | 4 | no | — |
| 353 | #217 | — | 3 | 2 | no | — |
| 354 | #217 | — | 6 | 1 | no | — |
| 355 | #217 | — | 6 | 2 | no | — |
| 356 | #217 | — | 6 | 2 | no | — |
| 357 | #217 | C22×D3 | 1 | 4 | yes | complemented |
| 358 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 359 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 360 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 361 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 362 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 363 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 364 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 365 | (C2×D3)⋊C4 | — | 6 | 2 | no | — |
| 366 | (C2×D3)⋊C4 | — | 6 | 4 | no | — |
| 367 | C22×C32 | — | 2 | 2 | no | — |
| 368 | C22×C32 | — | 2 | 4 | no | — |
| 369 | C22×C32 | — | 2 | 1 | no | — |
| 370 | C22×C32 | — | 4 | 1 | no | — |
| 371 | C22×C32 | — | 4 | 1 | no | — |
| 372 | C22×C32 | — | 4 | 1 | no | — |
| 373 | C22×C32 | — | 4 | 2 | no | — |
| 374 | C22×C32 | — | 4 | 1 | no | — |
| 375 | C22×C32 | C22×D4 | 1 | 2 | yes | — |
| 376 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 377 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 378 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 379 | C2×C3⋊D3 | — | 2 | 4 | no | — |
| 380 | C2×C3⋊D3 | — | 2 | 4 | no | — |
| 381 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 382 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 383 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 384 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 385 | C2×C3⋊D3 | — | 4 | 8 | no | — |
| 386 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 387 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 388 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 389 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 390 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 391 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 392 | C2×C3⋊D3 | — | 8 | 1 | no | — |
| 393 | C2×C3⋊D3 | #120 | 1 | 2 | yes | — |
| 394 | C2×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 395 | C2×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 396 | C2×C3×D3 | — | 2 | 4 | no | — |
| 397 | C2×C3×D3 | — | 4 | 4 | no | — |
| 398 | C2×C3×D3 | — | 8 | 2 | no | — |
| 399 | D32 | — | 4 | 4 | no | — |
| 400 | D32 | — | 8 | 2 | no | — |
| 401 | D32 | — | 8 | 2 | no | — |
| 402 | C32×C4 | — | 2 | 1 | no | — |
| 403 | C32×C4 | — | 4 | 1 | no | — |
| 404 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 405 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 406 | C3×Dic3 | — | 2 | 4 | no | — |
| 407 | C3×Dic3 | — | 4 | 4 | no | — |
| 408 | C25 | — | 9 | 1 | no | — |
| 409 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 410 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 411 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 412 | H(5,𝔽2) | — | 18 | 4 | no | — |
| 413 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 414 | C2×#41 | — | 18 | 2 | no | — |
| 415 | C2×#41 | — | 18 | 1 | no | — |
| 416 | C22×D4 | — | 9 | 2 | no | — |
| 417 | C22×D4 | — | 9 | 1 | no | — |
| 418 | C22×D4 | — | 18 | 1 | no | — |
| 419 | C22×D4 | — | 18 | 2 | no | — |
| 420 | C22×D4 | — | 18 | 1 | no | — |
| 421 | C22×D4 | — | 18 | 2 | no | — |
| 422 | #120 | — | 3 | 4 | no | — |
| 423 | #120 | — | 9 | 4 | no | — |
| 424 | #120 | — | 9 | 1 | no | — |
| 425 | #120 | — | 9 | 1 | no | — |
| 426 | #120 | — | 9 | 1 | no | — |
| 427 | #120 | — | 18 | 1 | no | — |
| 428 | #120 | — | 18 | 4 | no | — |
| 429 | #120 | — | 18 | 1 | no | — |
| 430 | #120 | D32 | 1 | 1 | yes | characteristic, complemented |
| 431 | C2×C22⋊C4 | — | 9 | 2 | no | — |
| 432 | C2×C22⋊C4 | — | 9 | 1 | no | — |
| 433 | C2×C22⋊C4 | — | 18 | 1 | no | — |
| 434 | C2×C22⋊C4 | — | 18 | 2 | no | — |
| 435 | #99 | — | 3 | 2 | no | — |
| 436 | #99 | — | 3 | 4 | no | — |
| 437 | #99 | — | 9 | 2 | no | — |
| 438 | #99 | — | 9 | 4 | no | — |
| 439 | C23×C3 | — | 2 | 2 | no | — |
| 440 | C23×C3 | — | 2 | 4 | no | — |
| 441 | C23×C3 | — | 2 | 2 | no | — |
| 442 | C23×C3 | — | 2 | 1 | no | — |
| 443 | C23×C3 | — | 2 | 1 | no | — |
| 444 | C23×C3 | — | 3 | 4 | no | — |
| 445 | C23×C3 | — | 4 | 2 | no | — |
| 446 | C23×C3 | — | 4 | 4 | no | — |
| 447 | C23×C3 | — | 4 | 4 | no | — |
| 448 | C23×C3 | — | 6 | 2 | no | — |
| 449 | C23×C3 | D3×D4 | 1 | 2 | yes | complemented |
| 450 | C23×C3 | C23×D3 | 1 | 2 | yes | — |
| 451 | C22×D3 | — | 2 | 2 | no | — |
| 452 | C22×D3 | — | 3 | 4 | no | — |
| 453 | C22×D3 | — | 3 | 2 | no | — |
| 454 | C22×D3 | — | 3 | 4 | no | — |
| 455 | C22×D3 | — | 3 | 2 | no | — |
| 456 | C22×D3 | — | 3 | 2 | no | — |
| 457 | C22×D3 | — | 6 | 1 | no | — |
| 458 | C22×D3 | — | 6 | 1 | no | — |
| 459 | C22×D3 | — | 6 | 2 | no | — |
| 460 | C22×D3 | — | 6 | 2 | no | — |
| 461 | C22×D3 | — | 6 | 1 | no | — |
| 462 | C22×D3 | — | 6 | 4 | no | — |
| 463 | C22×D3 | — | 6 | 4 | no | — |
| 464 | C22×D3 | — | 6 | 4 | no | — |
| 465 | C22×D3 | — | 6 | 2 | no | — |
| 466 | C22×D3 | — | 6 | 2 | no | — |
| 467 | C22×D3 | — | 6 | 2 | no | — |
| 468 | C22×D3 | — | 6 | 8 | no | — |
| 469 | C22×D3 | — | 6 | 8 | no | — |
| 470 | C22×D3 | — | 6 | 16 | no | — |
| 471 | C22×D3 | — | 6 | 4 | no | — |
| 472 | C22×D3 | — | 6 | 2 | no | — |
| 473 | C22×D3 | — | 12 | 1 | no | — |
| 474 | C22×D3 | — | 12 | 1 | no | — |
| 475 | C22×D3 | — | 12 | 2 | no | — |
| 476 | C22×D3 | — | 12 | 8 | no | — |
| 477 | C22×D3 | — | 12 | 2 | no | — |
| 478 | C22×D3 | — | 12 | 2 | no | — |
| 479 | C22×D3 | — | 12 | 4 | no | — |
| 480 | C22×D3 | — | 12 | 8 | no | — |
| 481 | C22×D3 | — | 12 | 4 | no | — |
| 482 | C22×D3 | — | 12 | 4 | no | — |
| 483 | C22×D3 | — | 12 | 2 | no | — |
| 484 | C22×D3 | — | 12 | 2 | no | — |
| 485 | C22×D3 | — | 12 | 4 | no | — |
| 486 | C22×D3 | — | 12 | 4 | no | — |
| 487 | C22×D3 | — | 12 | 4 | no | — |
| 488 | C22×D3 | — | 12 | 4 | no | — |
| 489 | C22×D3 | — | 12 | 8 | no | — |
| 490 | C22×D3 | — | 12 | 4 | no | — |
| 491 | C22×D3 | — | 12 | 4 | no | — |
| 492 | C22×D3 | — | 12 | 8 | no | — |
| 493 | C22×D3 | — | 12 | 4 | no | — |
| 494 | C22×D3 | — | 12 | 4 | no | — |
| 495 | C22×D3 | — | 12 | 4 | no | — |
| 496 | C22×D3 | — | 12 | 8 | no | — |
| 497 | C22×D3 | — | 12 | 4 | no | — |
| 498 | C22×D3 | — | 12 | 4 | no | — |
| 499 | C22×D3 | — | 12 | 8 | no | — |
| 500 | C22×D3 | — | 12 | 8 | no | — |
| 501 | C22×D3 | — | 12 | 8 | no | — |
| 502 | C22×D3 | — | 24 | 4 | no | — |
| 503 | C22×D3 | D3×D4 | 1 | 4 | yes | complemented |
| 504 | C3×Q8 | — | 6 | 2 | no | — |
| 505 | C3×D4 | — | 2 | 4 | no | — |
| 506 | C3×D4 | — | 4 | 2 | no | — |
| 507 | C3×D4 | — | 4 | 4 | no | — |
| 508 | C3×D4 | — | 4 | 4 | no | — |
| 509 | C3×D4 | — | 6 | 2 | no | — |
| 510 | C3×D4 | — | 6 | 4 | no | — |
| 511 | C3×D4 | — | 6 | 4 | no | — |
| 512 | C3×D4 | — | 6 | 4 | no | — |
| 513 | C3×D4 | — | 12 | 8 | no | — |
| 514 | C2×C3×C4 | — | 2 | 2 | no | — |
| 515 | C2×C3×C4 | — | 2 | 2 | no | — |
| 516 | C2×C3×C4 | — | 2 | 1 | no | — |
| 517 | C2×C3×C4 | — | 3 | 4 | no | — |
| 518 | C2×C3×C4 | — | 6 | 4 | no | — |
| 519 | C2×C3×C4 | — | 6 | 2 | no | — |
| 520 | C2×C3×C4 | — | 6 | 4 | no | — |
| 521 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | complemented |
| 522 | #67 | — | 2 | 4 | no | — |
| 523 | #67 | — | 2 | 4 | no | — |
| 524 | #67 | — | 2 | 4 | no | — |
| 525 | #67 | — | 4 | 8 | no | — |
| 526 | #67 | — | 6 | 4 | no | — |
| 527 | #67 | — | 6 | 4 | no | — |
| 528 | #67 | — | 6 | 4 | no | — |
| 529 | #67 | — | 6 | 4 | no | — |
| 530 | #67 | — | 6 | 4 | no | — |
| 531 | #67 | — | 6 | 4 | no | — |
| 532 | #67 | — | 12 | 2 | no | — |
| 533 | #67 | — | 12 | 2 | no | — |
| 534 | #67 | — | 12 | 8 | no | — |
| 535 | #67 | — | 12 | 4 | no | — |
| 536 | #67 | — | 12 | 4 | no | — |
| 537 | #67 | — | 12 | 4 | no | — |
| 538 | #67 | — | 12 | 4 | no | — |
| 539 | C2×Dic3 | — | 2 | 2 | no | — |
| 540 | C2×Dic3 | — | 2 | 4 | no | — |
| 541 | C2×Dic3 | — | 3 | 2 | no | — |
| 542 | C2×Dic3 | — | 6 | 1 | no | — |
| 543 | C2×Dic3 | — | 6 | 4 | no | — |
| 544 | C2×Dic3 | — | 6 | 2 | no | — |
| 545 | C2×Dic3 | — | 6 | 2 | no | — |
| 546 | C2×Dic3 | D3×D4 | 1 | 4 | yes | complemented |
| 547 | D12 | — | 2 | 2 | no | — |
| 548 | D12 | — | 6 | 4 | no | — |
| 549 | D12 | — | 6 | 4 | no | — |
| 550 | D12 | — | 6 | 4 | no | — |
| 551 | D12 | — | 6 | 4 | no | — |
| 552 | D12 | — | 12 | 2 | no | — |
| 553 | D12 | — | 12 | 4 | no | — |
| 554 | D12 | — | 12 | 4 | no | — |
| 555 | D12 | — | 12 | 8 | no | — |
| 556 | C4×D3 | — | 2 | 4 | no | — |
| 557 | C4×D3 | — | 6 | 4 | no | — |
| 558 | C4×D3 | — | 6 | 4 | no | — |
| 559 | C4×D3 | — | 6 | 4 | no | — |
| 560 | C4×D3 | — | 6 | 2 | no | — |
| 561 | C4×D3 | — | 6 | 2 | no | — |
| 562 | C4×D3 | — | 6 | 4 | no | — |
| 563 | C4×D3 | — | 12 | 1 | no | — |
| 564 | C4×D3 | — | 12 | 1 | no | — |
| 565 | C4×D3 | — | 12 | 8 | no | — |
| 566 | C4×D3 | — | 12 | 4 | no | — |
| 567 | C4×D3 | — | 12 | 4 | no | — |
| 568 | Dic6 | — | 2 | 2 | no | — |
| 569 | Dic6 | — | 6 | 4 | no | — |
| 570 | C2×C32 | — | 2 | 1 | no | — |
| 571 | C2×C32 | — | 2 | 2 | no | — |
| 572 | C2×C32 | — | 4 | 2 | no | — |
| 573 | C2×C32 | — | 4 | 1 | no | — |
| 574 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 575 | C3⋊D3 | — | 2 | 1 | no | — |
| 576 | C3⋊D3 | — | 2 | 2 | no | — |
| 577 | C3⋊D3 | — | 4 | 2 | no | — |
| 578 | C3⋊D3 | — | 4 | 1 | no | — |
| 579 | C3⋊D3 | B(4,𝔽2) | 1 | 2 | yes | complemented |
| 580 | C3×D3 | — | 4 | 4 | no | — |
| 581 | C24 | — | 9 | 2 | no | — |
| 582 | C24 | — | 9 | 1 | no | — |
| 583 | C24 | — | 9 | 1 | no | — |
| 584 | C24 | — | 9 | 1 | no | — |
| 585 | C24 | — | 18 | 1 | no | — |
| 586 | C24 | — | 18 | 2 | no | — |
| 587 | C24 | — | 18 | 1 | no | — |
| 588 | C24 | — | 18 | 2 | no | — |
| 589 | C24 | — | 18 | 1 | no | — |
| 590 | C24 | — | 36 | 4 | no | — |
| 591 | C24 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 592 | #41 | — | 6 | 4 | no | — |
| 593 | #41 | — | 6 | 2 | no | — |
| 594 | #41 | — | 18 | 4 | no | — |
| 595 | #41 | — | 18 | 2 | no | — |
| 596 | #41 | — | 18 | 4 | no | — |
| 597 | #41 | — | 18 | 4 | no | — |
| 598 | #41 | — | 18 | 2 | no | — |
| 599 | #41 | — | 18 | 2 | no | — |
| 600 | C2×Q8 | — | 18 | 1 | no | — |
| 601 | C2×D4 | — | 2 | 1 | no | — |
| 602 | C2×D4 | — | 3 | 4 | no | — |
| 603 | C2×D4 | — | 6 | 4 | no | — |
| 604 | C2×D4 | — | 6 | 2 | no | — |
| 605 | C2×D4 | — | 6 | 4 | no | — |
| 606 | C2×D4 | — | 9 | 4 | no | — |
| 607 | C2×D4 | — | 9 | 1 | no | — |
| 608 | C2×D4 | — | 9 | 1 | no | — |
| 609 | C2×D4 | — | 9 | 1 | no | — |
| 610 | C2×D4 | — | 18 | 1 | no | — |
| 611 | C2×D4 | — | 18 | 4 | no | — |
| 612 | C2×D4 | — | 18 | 2 | no | — |
| 613 | C2×D4 | — | 18 | 4 | no | — |
| 614 | C2×D4 | — | 18 | 2 | no | — |
| 615 | C2×D4 | — | 18 | 2 | no | — |
| 616 | C2×D4 | — | 18 | 2 | no | — |
| 617 | C2×D4 | — | 18 | 2 | no | — |
| 618 | C2×D4 | — | 18 | 2 | no | — |
| 619 | C2×D4 | — | 18 | 2 | no | — |
| 620 | C2×D4 | — | 18 | 2 | no | — |
| 621 | C2×D4 | — | 18 | 1 | no | — |
| 622 | C2×D4 | — | 18 | 2 | no | — |
| 623 | C2×D4 | — | 18 | 2 | no | — |
| 624 | C2×D4 | — | 18 | 4 | no | — |
| 625 | C2×D4 | — | 18 | 4 | no | — |
| 626 | C2×D4 | — | 18 | 1 | no | — |
| 627 | C2×D4 | — | 18 | 1 | no | — |
| 628 | C2×D4 | — | 36 | 4 | no | — |
| 629 | C2×D4 | — | 36 | 8 | no | — |
| 630 | C2×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 631 | C22×C4 | — | 9 | 2 | no | — |
| 632 | C22×C4 | — | 9 | 1 | no | — |
| 633 | C22×C4 | — | 18 | 1 | no | — |
| 634 | C22×C4 | — | 18 | 2 | no | — |
| 635 | C22×C4 | — | 18 | 1 | no | — |
| 636 | C22×C4 | — | 18 | 2 | no | — |
| 637 | C22⋊C4 | — | 2 | 1 | no | — |
| 638 | C22⋊C4 | — | 3 | 4 | no | — |
| 639 | C22⋊C4 | — | 6 | 4 | no | — |
| 640 | C22⋊C4 | — | 9 | 1 | no | — |
| 641 | C22⋊C4 | — | 18 | 1 | no | — |
| 642 | C22⋊C4 | — | 18 | 1 | no | — |
| 643 | C22⋊C4 | — | 18 | 4 | no | — |
| 644 | C22⋊C4 | — | 18 | 2 | no | — |
| 645 | C22⋊C4 | — | 18 | 1 | no | — |
| 646 | C22⋊C4 | — | 18 | 1 | no | — |
| 647 | C22⋊C4 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 648 | C22×C3 | — | 2 | 8 | no | — |
| 649 | C22×C3 | — | 2 | 4 | no | — |
| 650 | C22×C3 | — | 2 | 4 | no | — |
| 651 | C22×C3 | — | 2 | 2 | no | — |
| 652 | C22×C3 | — | 2 | 2 | no | — |
| 653 | C22×C3 | — | 2 | 1 | no | — |
| 654 | C22×C3 | — | 4 | 1 | no | — |
| 655 | C22×C3 | — | 4 | 4 | no | — |
| 656 | C22×C3 | — | 4 | 2 | no | — |
| 657 | C22×C3 | — | 4 | 2 | no | — |
| 658 | C22×C3 | — | 4 | 2 | no | — |
| 659 | C22×C3 | — | 4 | 2 | no | — |
| 660 | C22×C3 | — | 4 | 4 | no | — |
| 661 | C22×C3 | — | 4 | 2 | no | — |
| 662 | C22×C3 | — | 4 | 2 | no | — |
| 663 | C22×C3 | — | 4 | 2 | no | — |
| 664 | C22×C3 | — | 4 | 4 | no | — |
| 665 | C22×C3 | — | 4 | 2 | no | — |
| 666 | C22×C3 | — | 6 | 4 | no | — |
| 667 | C22×C3 | — | 12 | 4 | no | — |
| 668 | C22×C3 | — | 24 | 2 | no | — |
| 669 | C22×C3 | C2×D3×D4 | 1 | 4 | yes | — |
| 670 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 671 | C2×D3 | — | 2 | 4 | no | — |
| 672 | C2×D3 | — | 3 | 2 | no | — |
| 673 | C2×D3 | — | 3 | 4 | no | — |
| 674 | C2×D3 | — | 3 | 2 | no | — |
| 675 | C2×D3 | — | 4 | 4 | no | — |
| 676 | C2×D3 | — | 6 | 1 | no | — |
| 677 | C2×D3 | — | 6 | 1 | no | — |
| 678 | C2×D3 | — | 6 | 2 | no | — |
| 679 | C2×D3 | — | 6 | 4 | no | — |
| 680 | C2×D3 | — | 6 | 8 | no | — |
| 681 | C2×D3 | — | 6 | 4 | no | — |
| 682 | C2×D3 | — | 6 | 4 | no | — |
| 683 | C2×D3 | — | 6 | 4 | no | — |
| 684 | C2×D3 | — | 6 | 8 | no | — |
| 685 | C2×D3 | — | 6 | 2 | no | — |
| 686 | C2×D3 | — | 8 | 2 | no | — |
| 687 | C2×D3 | — | 12 | 4 | no | — |
| 688 | C2×D3 | — | 12 | 4 | no | — |
| 689 | C2×D3 | — | 12 | 1 | no | — |
| 690 | C2×D3 | — | 12 | 8 | no | — |
| 691 | C2×D3 | — | 12 | 8 | no | — |
| 692 | C2×D3 | — | 12 | 4 | no | — |
| 693 | C2×D3 | — | 12 | 4 | no | — |
| 694 | C2×D3 | — | 12 | 2 | no | — |
| 695 | C2×D3 | — | 12 | 4 | no | — |
| 696 | C2×D3 | — | 12 | 8 | no | — |
| 697 | C2×D3 | — | 12 | 8 | no | — |
| 698 | C2×D3 | — | 12 | 8 | no | — |
| 699 | C2×D3 | — | 12 | 16 | no | — |
| 700 | C2×D3 | — | 12 | 2 | no | — |
| 701 | C2×D3 | — | 12 | 2 | no | — |
| 702 | C2×D3 | — | 12 | 4 | no | — |
| 703 | C2×D3 | — | 12 | 2 | no | — |
| 704 | C2×D3 | — | 12 | 2 | no | — |
| 705 | C2×D3 | — | 12 | 4 | no | — |
| 706 | C2×D3 | — | 12 | 16 | no | — |
| 707 | C2×D3 | — | 12 | 2 | no | — |
| 708 | C2×D3 | — | 12 | 2 | no | — |
| 709 | C2×D3 | — | 12 | 2 | no | — |
| 710 | C2×D3 | — | 24 | 2 | no | — |
| 711 | C2×D3 | — | 24 | 4 | no | — |
| 712 | C2×D3 | — | 24 | 4 | no | — |
| 713 | C2×D3 | — | 24 | 2 | no | — |
| 714 | C2×D3 | — | 24 | 2 | no | — |
| 715 | C3×C4 | — | 2 | 2 | no | — |
| 716 | C3×C4 | — | 4 | 1 | no | — |
| 717 | C3×C4 | — | 4 | 2 | no | — |
| 718 | C3×C4 | — | 4 | 2 | no | — |
| 719 | C3×C4 | — | 6 | 4 | no | — |
| 720 | C3×C4 | — | 12 | 4 | no | — |
| 721 | Dic3 | — | 2 | 4 | no | — |
| 722 | Dic3 | — | 4 | 4 | no | — |
| 723 | Dic3 | — | 6 | 2 | no | — |
| 724 | Dic3 | — | 12 | 1 | no | — |
| 725 | Dic3 | — | 12 | 2 | no | — |
| 726 | Dic3 | — | 12 | 2 | no | — |
| 727 | C32 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 728 | C23 | — | 2 | 2 | no | — |
| 729 | C23 | — | 2 | 1 | no | — |
| 730 | C23 | — | 3 | 4 | no | — |
| 731 | C23 | — | 4 | 2 | no | — |
| 732 | C23 | — | 6 | 2 | no | — |
| 733 | C23 | — | 9 | 2 | no | — |
| 734 | C23 | — | 9 | 1 | no | — |
| 735 | C23 | — | 9 | 2 | no | — |
| 736 | C23 | — | 9 | 1 | no | — |
| 737 | C23 | — | 9 | 1 | no | — |
| 738 | C23 | — | 18 | 1 | no | — |
| 739 | C23 | — | 18 | 1 | no | — |
| 740 | C23 | — | 18 | 4 | no | — |
| 741 | C23 | — | 18 | 8 | no | — |
| 742 | C23 | — | 18 | 2 | no | — |
| 743 | C23 | — | 18 | 2 | no | — |
| 744 | C23 | — | 18 | 2 | no | — |
| 745 | C23 | — | 18 | 2 | no | — |
| 746 | C23 | — | 18 | 1 | no | — |
| 747 | C23 | — | 36 | 2 | no | — |
| 748 | C23 | — | 36 | 4 | no | — |
| 749 | C23 | — | 36 | 1 | no | — |
| 750 | C23 | — | 36 | 1 | no | — |
| 751 | C23 | — | 36 | 2 | no | — |
| 752 | C23 | — | 36 | 2 | no | — |
| 753 | C23 | — | 36 | 2 | no | — |
| 754 | C23 | — | 36 | 2 | no | — |
| 755 | C23 | — | 36 | 4 | no | — |
| 756 | C23 | — | 36 | 2 | no | — |
| 757 | C23 | — | 36 | 4 | no | — |
| 758 | C23 | — | 36 | 2 | no | — |
| 759 | C23 | — | 36 | 4 | no | — |
| 760 | C23 | — | 72 | 2 | no | — |
| 761 | C23 | #3811 | 1 | 1 | yes | characteristic, complemented |
| 762 | C23 | C22×D32 | 1 | 1 | yes | characteristic |
| 763 | Q8 | — | 6 | 2 | no | — |
| 764 | Q8 | — | 18 | 2 | no | — |
| 765 | D4 | — | 2 | 2 | no | — |
| 766 | D4 | — | 4 | 2 | no | — |
| 767 | D4 | — | 6 | 2 | no | — |
| 768 | D4 | — | 6 | 4 | no | — |
| 769 | D4 | — | 6 | 4 | no | — |
| 770 | D4 | — | 6 | 4 | no | — |
| 771 | D4 | — | 12 | 8 | no | — |
| 772 | D4 | — | 18 | 2 | no | — |
| 773 | D4 | — | 18 | 4 | no | — |
| 774 | D4 | — | 18 | 4 | no | — |
| 775 | D4 | — | 18 | 4 | no | — |
| 776 | D4 | — | 18 | 2 | no | — |
| 777 | D4 | — | 18 | 2 | no | — |
| 778 | D4 | — | 18 | 2 | no | — |
| 779 | D4 | — | 36 | 2 | no | — |
| 780 | D4 | — | 36 | 8 | no | — |
| 781 | D4 | — | 36 | 2 | no | — |
| 782 | D4 | — | 36 | 2 | no | — |
| 783 | C2×C4 | — | 2 | 1 | no | — |
| 784 | C2×C4 | — | 3 | 4 | no | — |
| 785 | C2×C4 | — | 6 | 4 | no | — |
| 786 | C2×C4 | — | 6 | 2 | no | — |
| 787 | C2×C4 | — | 6 | 4 | no | — |
| 788 | C2×C4 | — | 9 | 1 | no | — |
| 789 | C2×C4 | — | 18 | 1 | no | — |
| 790 | C2×C4 | — | 18 | 1 | no | — |
| 791 | C2×C4 | — | 18 | 2 | no | — |
| 792 | C2×C4 | — | 18 | 2 | no | — |
| 793 | C2×C4 | — | 18 | 2 | no | — |
| 794 | C2×C4 | — | 18 | 4 | no | — |
| 795 | C2×C4 | — | 18 | 1 | no | — |
| 796 | C2×C4 | — | 36 | 2 | no | — |
| 797 | C2×C4 | — | 36 | 4 | no | — |
| 798 | C2×C4 | #3811 | 1 | 1 | yes | characteristic, complemented |
| 799 | C2×C3 | — | 2 | 2 | no | — |
| 800 | C2×C3 | — | 2 | 4 | no | — |
| 801 | C2×C3 | — | 2 | 2 | no | — |
| 802 | C2×C3 | — | 2 | 1 | no | — |
| 803 | C2×C3 | — | 4 | 2 | no | — |
| 804 | C2×C3 | — | 4 | 4 | no | — |
| 805 | C2×C3 | — | 4 | 2 | no | — |
| 806 | C2×C3 | — | 4 | 4 | no | — |
| 807 | C2×C3 | — | 8 | 1 | no | — |
| 808 | C2×C3 | — | 12 | 4 | no | — |
| 809 | C2×C3 | D3×#120 | 1 | 2 | yes | — |
| 810 | D3 | — | 3 | 4 | no | — |
| 811 | D3 | — | 4 | 4 | no | — |
| 812 | D3 | — | 6 | 2 | no | — |
| 813 | D3 | — | 6 | 2 | no | — |
| 814 | D3 | — | 6 | 2 | no | — |
| 815 | D3 | — | 6 | 4 | no | — |
| 816 | D3 | — | 12 | 2 | no | — |
| 817 | D3 | — | 12 | 4 | no | — |
| 818 | D3 | — | 12 | 4 | no | — |
| 819 | D3 | — | 12 | 2 | no | — |
| 820 | D3 | — | 24 | 1 | no | — |
| 821 | C22 | — | 2 | 2 | no | — |
| 822 | C22 | — | 2 | 4 | no | — |
| 823 | C22 | — | 2 | 1 | no | — |
| 824 | C22 | — | 4 | 1 | no | — |
| 825 | C22 | — | 4 | 1 | no | — |
| 826 | C22 | — | 4 | 1 | no | — |
| 827 | C22 | — | 4 | 2 | no | — |
| 828 | C22 | — | 4 | 1 | no | — |
| 829 | C22 | — | 6 | 4 | no | — |
| 830 | C22 | — | 9 | 1 | no | — |
| 831 | C22 | — | 9 | 1 | no | — |
| 832 | C22 | — | 9 | 2 | no | — |
| 833 | C22 | — | 12 | 4 | no | — |
| 834 | C22 | — | 18 | 2 | no | — |
| 835 | C22 | — | 18 | 4 | no | — |
| 836 | C22 | — | 18 | 2 | no | — |
| 837 | C22 | — | 18 | 4 | no | — |
| 838 | C22 | — | 18 | 1 | no | — |
| 839 | C22 | — | 24 | 2 | no | — |
| 840 | C22 | — | 36 | 1 | no | — |
| 841 | C22 | — | 36 | 2 | no | — |
| 842 | C22 | — | 36 | 1 | no | — |
| 843 | C22 | — | 36 | 1 | no | — |
| 844 | C22 | — | 36 | 2 | no | — |
| 845 | C22 | — | 36 | 4 | no | — |
| 846 | C22 | — | 36 | 2 | no | — |
| 847 | C22 | — | 36 | 4 | no | — |
| 848 | C22 | — | 36 | 8 | no | — |
| 849 | C22 | — | 36 | 4 | no | — |
| 850 | C22 | — | 36 | 1 | no | — |
| 851 | C22 | — | 72 | 1 | no | — |
| 852 | C22 | — | 72 | 2 | no | — |
| 853 | C22 | — | 72 | 2 | no | — |
| 854 | C22 | D32×D4 | 1 | 2 | yes | — |
| 855 | C22 | C2×#3811 | 1 | 1 | yes | characteristic |
| 856 | C4 | — | 2 | 1 | no | — |
| 857 | C4 | — | 4 | 1 | no | — |
| 858 | C4 | — | 6 | 4 | no | — |
| 859 | C4 | — | 12 | 4 | no | — |
| 860 | C4 | — | 18 | 1 | no | — |
| 861 | C4 | — | 36 | 1 | no | — |
| 862 | C3 | — | 2 | 1 | no | — |
| 863 | C3 | D3×B(4,𝔽2) | 1 | 2 | yes | complemented |
| 864 | C2 | — | 2 | 1 | no | — |
| 865 | C2 | — | 2 | 2 | no | — |
| 866 | C2 | — | 4 | 2 | no | — |
| 867 | C2 | — | 4 | 1 | no | — |
| 868 | C2 | — | 9 | 2 | no | — |
| 869 | C2 | — | 12 | 4 | no | — |
| 870 | C2 | — | 18 | 1 | no | — |
| 871 | C2 | — | 18 | 2 | no | — |
| 872 | C2 | — | 36 | 2 | no | — |
| 873 | C2 | — | 36 | 1 | no | — |
| 874 | C2 | #10595278 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596675 | C2 | semidirect |
| 2. C3⋊D3×#120 | C2 | semidirect |
| 3. #10595527 | C2 | semidirect |
| 4. C3×#5032 | C2 | semidirect |
| 5. #10591725 | C2 | semidirect |
| 6. #10591531 | C2 | semidirect |
| 7. #10591527 | C2 | semidirect |
| 8. #10590410 | C2 | semidirect |
| 9. #10590404 | C2 | semidirect |
| 11. C24×C3⋊D3 | C22 | semidirect |
| 14. C3×#1004 | C22 | semidirect |
| 16. #64330 | C22 | semidirect |
| 25. C32×#120 | C22 | semidirect |
| 26. #64162 | C22 | semidirect |
| 28. #64146 | C22 | semidirect |
| 30. #64091 | C22 | semidirect |
| 32. C22⋊C4×C3⋊D3 | C22 | semidirect |
| 33. C3×#953 | C22 | semidirect |
| 35. #63981 | C22 | semidirect |
| 37. #63974 | C22 | semidirect |
| 38. C3×#834 | C22 | semidirect |
| 39. C3×#806 | C22 | semidirect |
| 40. #63581 | C22 | semidirect |
| 41. #63580 | C22 | semidirect |
| 49. #5032 | D3 | semidirect |
| 54. C24×C32 | C23 | semidirect |
| 60. C23×C3⋊D3 | D4 | semidirect |
| 62. C23×C3⋊D3 | C23 | semidirect |
| 64. C22×D32 | D4 | semidirect |
| 69. C2×#638 | D4 | semidirect |
| 75. C2×C4⋊(C3⋊D3) | D4 | semidirect |
| 77. C2×C4×C3⋊D3 | D4 | semidirect |
| 96. C2×#626 | D4 | semidirect |
| 99. C2×#624 | D4 | semidirect |
| 111. C32×C22⋊C4 | C23 | semidirect |
| 113. #3757 | C23 | semidirect |
| 118. C3×#217 | C23 | semidirect |
| 132. #1004 | C2×D3 | semidirect |
| 143. C3×#120 | C2×D3 | semidirect |
| 146. #953 | C2×D3 | semidirect |
| 168. #834 | C2×D3 | semidirect |
| 171. #806 | C2×D3 | semidirect |
| 175. C23×C32 | C2×D4 | semidirect |
| 199. C22×C3⋊D3 | C2×D4 | semidirect |
| 201. C22×C3×D3 | C2×D4 | semidirect |
| 210. C2×C32×C4 | C2×D4 | semidirect |
| 216. C2×C3⋊Dic3 | C2×D4 | semidirect |
| 228. C2×C3×Dic3 | C2×D4 | semidirect |
| 253. C24×C3 | C22×D3 | semidirect |
| 351. C3×C22⋊C4 | C22×D3 | semidirect |
| 357. #217 | C22×D3 | semidirect |
| 430. #120 | D32 | semidirect |
| 449. C23×C3 | D3×D4 | semidirect |
| 503. C22×D3 | D3×D4 | semidirect |
| 521. C2×C3×C4 | D3×D4 | semidirect |
| 546. C2×Dic3 | D3×D4 | semidirect |
| 579. C3⋊D3 | B(4,𝔽2) | semidirect |
| 591. C24 | C2×D32 | semidirect |
| 647. C22⋊C4 | C2×D32 | semidirect |
| 727. C32 | C2×B(4,𝔽2) | semidirect |
| 761. C23 | #3811 | semidirect |
| 798. C2×C4 | #3811 | semidirect |
| 863. C3 | D3×B(4,𝔽2) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596675 | 2 |
| C3⋊D3×#120 | 2 |
| #10595527 | 2 |
| C3×#5032 | 2 |
| #10591725 | 2 |
| #10591531 | 2 |
| #10591527 | 2 |
| #10590410 | 2 |
| #10590404 | 2 |
| D3×B(4,𝔽2) | 3 |