Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
3333 conjugacy classes of subgroups.
The subgroup lattice has 759 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596760 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10596692 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5837 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10595461 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #10595460 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #10595458 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #10595449 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10595443 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10595324 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | #10595323 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | C2×#63941 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #87207 | — | 3 | 2 | no | maximal |
| 13 | C32×2−1+4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #64366 | — | 2 | 3 | no | — |
| 15 | #64366 | C22 | 1 | 3 | yes | complemented |
| 16 | #64366 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #41×C3⋊D3 | — | 2 | 3 | no | — |
| 18 | #41×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 19 | #41×C3⋊D3 | C22 | 1 | 3 | yes | complemented |
| 20 | #64364 | — | 2 | 1 | no | — |
| 21 | #64364 | C22 | 1 | 3 | yes | complemented |
| 22 | C2×#3832 | — | 2 | 1 | no | — |
| 23 | C2×#3832 | C22 | 1 | 3 | yes | complemented |
| 24 | C3×#1009 | C22 | 1 | 2 | yes | complemented |
| 25 | #64320 | — | 2 | 1 | no | — |
| 26 | #64319 | — | 2 | 1 | no | — |
| 27 | #64313 | — | 2 | 3 | no | — |
| 28 | D32×D4 | — | 2 | 3 | no | — |
| 29 | #64307 | C22 | 1 | 6 | yes | complemented |
| 30 | #64306 | C22 | 1 | 3 | yes | complemented |
| 31 | C2×#3802 | C22 | 1 | 3 | yes | complemented |
| 32 | C3×#950 | C22 | 1 | 6 | yes | complemented |
| 33 | C3×#949 | C22 | 1 | 6 | yes | complemented |
| 34 | C3×#948 | C22 | 1 | 2 | yes | complemented |
| 35 | C3×#942 | C22 | 1 | 6 | yes | complemented |
| 36 | C2×C3×#215 | C22 | 1 | 6 | yes | complemented |
| 37 | #63951 | C22 | 1 | 6 | yes | complemented |
| 38 | #63950 | C22 | 1 | 12 | yes | complemented |
| 39 | #63945 | C22 | 1 | 3 | yes | complemented |
| 40 | #63941 | C22 | 1 | 6 | yes | complemented |
| 41 | #63941 | C22 | 1 | 3 | yes | complemented |
| 42 | #63941 | C22 | 1 | 12 | yes | complemented |
| 43 | #63940 | C22 | 1 | 6 | yes | complemented |
| 44 | #63937 | C22 | 1 | 6 | yes | complemented |
| 45 | #63931 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #63927 | C22 | 1 | 3 | yes | complemented |
| 47 | #63926 | C22 | 1 | 6 | yes | complemented |
| 48 | #63830 | C22 | 1 | 6 | yes | complemented |
| 49 | #63829 | C22 | 1 | 6 | yes | complemented |
| 50 | #63825 | C22 | 1 | 6 | yes | complemented |
| 51 | C2×#3714 | C22 | 1 | 6 | yes | complemented |
| 52 | C2×#3712 | C22 | 1 | 3 | yes | complemented |
| 53 | #63818 | C22 | 1 | 3 | yes | complemented |
| 54 | #63817 | C22 | 1 | 6 | yes | complemented |
| 55 | #5968 | — | 3 | 2 | no | — |
| 56 | #5968 | — | 6 | 1 | no | — |
| 57 | D3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 58 | C3×#577 | — | 3 | 2 | no | — |
| 59 | #5837 | D3 | 1 | 2 | yes | complemented |
| 60 | #5835 | — | 3 | 2 | no | — |
| 61 | #5778 | — | 3 | 6 | no | — |
| 62 | #5777 | — | 3 | 6 | no | — |
| 63 | #5774 | — | 3 | 6 | no | — |
| 64 | D3×AGL(1,ℤ/8) | — | 3 | 6 | no | — |
| 65 | #5769 | — | 3 | 6 | no | — |
| 66 | #5768 | — | 3 | 6 | no | — |
| 67 | #5762 | — | 3 | 6 | no | — |
| 68 | C2×#914 | — | 3 | 6 | no | — |
| 69 | #5752 | — | 3 | 2 | no | — |
| 70 | #5750 | — | 3 | 2 | no | — |
| 71 | C22×D32 | — | 2 | 3 | no | — |
| 72 | C32×#41 | — | 2 | 3 | no | — |
| 73 | C32×#41 | C23 | 1 | 1 | yes | characteristic |
| 74 | C32×#41 | C23 | 1 | 3 | yes | complemented |
| 75 | C2×C32×Q8 | — | 2 | 1 | no | — |
| 76 | C2×C32×Q8 | C23 | 1 | 3 | yes | complemented |
| 77 | #3832 | — | 2 | 1 | no | — |
| 78 | #3832 | — | 2 | 3 | no | — |
| 79 | #3832 | — | 2 | 3 | no | — |
| 80 | #3832 | — | 2 | 3 | no | — |
| 81 | #3832 | D4 | 1 | 1 | yes | characteristic |
| 82 | #3832 | C23 | 1 | 3 | yes | — |
| 83 | #3832 | C23 | 1 | 6 | yes | complemented |
| 84 | Q8×C3⋊D3 | — | 2 | 3 | no | — |
| 85 | Q8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 86 | Q8×C3⋊D3 | C23 | 1 | 3 | yes | complemented |
| 87 | #3830 | — | 2 | 3 | no | — |
| 88 | #3830 | D4 | 1 | 3 | yes | — |
| 89 | #3830 | C23 | 1 | 1 | yes | characteristic |
| 90 | D4×C3⋊D3 | — | 2 | 3 | no | — |
| 91 | D4×C3⋊D3 | — | 2 | 3 | no | — |
| 92 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 93 | D4×C3⋊D3 | D4 | 1 | 3 | yes | — |
| 94 | D4×C3⋊D3 | C23 | 1 | 3 | yes | complemented |
| 95 | #3828 | — | 2 | 6 | no | — |
| 96 | #3828 | — | 2 | 3 | no | — |
| 97 | #3828 | — | 2 | 3 | no | — |
| 98 | #3828 | C23 | 1 | 3 | yes | — |
| 99 | #3828 | C23 | 1 | 3 | yes | complemented |
| 100 | C2×C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 101 | C2×C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 102 | C2×C4⋊(C3⋊D3) | C23 | 1 | 3 | yes | complemented |
| 103 | C2×C4×C3⋊D3 | — | 2 | 3 | no | — |
| 104 | C2×C4×C3⋊D3 | — | 2 | 3 | no | — |
| 105 | C2×C4×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 106 | C3×#239 | — | 2 | 2 | no | — |
| 107 | C3×D3×D4 | — | 2 | 6 | no | — |
| 108 | C3×#235 | C23 | 1 | 6 | yes | — |
| 109 | C2×C3×D12 | C23 | 1 | 6 | yes | — |
| 110 | #3811 | — | 2 | 3 | no | — |
| 111 | D3×#67 | — | 2 | 12 | no | — |
| 112 | C2×#625 | — | 2 | 3 | no | — |
| 113 | #3805 | — | 2 | 3 | no | — |
| 114 | #3802 | — | 2 | 3 | no | — |
| 115 | #3802 | — | 2 | 3 | no | — |
| 116 | #3802 | C23 | 1 | 3 | yes | — |
| 117 | #3802 | C23 | 1 | 6 | yes | — |
| 118 | D3×D12 | — | 2 | 6 | no | — |
| 119 | C4×D32 | — | 2 | 3 | no | — |
| 120 | #3798 | — | 2 | 3 | no | — |
| 121 | #3797 | C23 | 1 | 1 | yes | characteristic |
| 122 | #3796 | C23 | 1 | 6 | yes | — |
| 123 | #3795 | — | 2 | 6 | no | — |
| 124 | C3×#216 | C23 | 1 | 6 | yes | complemented |
| 125 | C3×#215 | C23 | 1 | 6 | yes | complemented |
| 126 | C3×#215 | C23 | 1 | 12 | yes | complemented |
| 127 | C3×#214 | C23 | 1 | 2 | yes | complemented |
| 128 | C3×#213 | C23 | 1 | 6 | yes | complemented |
| 129 | C3×#208 | C23 | 1 | 6 | yes | complemented |
| 130 | C2×C3×C3⋊C8 | C23 | 1 | 6 | yes | complemented |
| 131 | #3719 | C23 | 1 | 2 | yes | complemented |
| 132 | #3717 | C23 | 1 | 6 | yes | complemented |
| 133 | #3716 | C23 | 1 | 6 | yes | complemented |
| 134 | #3714 | C23 | 1 | 6 | yes | complemented |
| 135 | #3714 | C23 | 1 | 12 | yes | complemented |
| 136 | #3712 | C23 | 1 | 3 | yes | — |
| 137 | #3712 | C23 | 1 | 1 | yes | characteristic |
| 138 | #3712 | C23 | 1 | 6 | yes | complemented |
| 139 | #3710 | C23 | 1 | 6 | yes | complemented |
| 140 | #3585 | — | 9 | 1 | no | Sylow |
| 141 | C3×2−1+4 | — | 2 | 1 | no | — |
| 142 | C3×2−1+4 | C2×D3 | 1 | 2 | yes | complemented |
| 143 | C3×H(5,𝔽2) | — | 3 | 2 | no | — |
| 144 | #1009 | — | 3 | 2 | no | — |
| 145 | #1009 | — | 3 | 6 | no | — |
| 146 | #1009 | — | 3 | 6 | no | — |
| 147 | #1009 | — | 6 | 1 | no | — |
| 148 | #1009 | — | 6 | 3 | no | — |
| 149 | #1009 | — | 6 | 6 | no | — |
| 150 | #1009 | — | 6 | 2 | no | — |
| 151 | #1009 | — | 6 | 6 | no | — |
| 152 | #1009 | C2×D3 | 1 | 2 | yes | complemented |
| 153 | D3×#41 | — | 3 | 2 | no | — |
| 154 | D3×#41 | — | 3 | 6 | no | — |
| 155 | D3×#41 | — | 3 | 6 | no | — |
| 156 | D3×#41 | — | 6 | 1 | no | — |
| 157 | D3×#41 | — | 6 | 3 | no | — |
| 158 | D3×#41 | — | 6 | 6 | no | — |
| 159 | D3×#41 | — | 6 | 2 | no | — |
| 160 | D3×#41 | — | 6 | 6 | no | — |
| 161 | #1007 | — | 3 | 6 | no | — |
| 162 | #1007 | — | 6 | 3 | no | — |
| 163 | #1007 | — | 6 | 2 | no | — |
| 164 | #1007 | — | 6 | 2 | no | — |
| 165 | C2×#239 | — | 3 | 6 | no | — |
| 166 | C2×#239 | — | 6 | 3 | no | — |
| 167 | C2×#239 | — | 6 | 2 | no | — |
| 168 | C2×#239 | — | 6 | 2 | no | — |
| 169 | #1004 | — | 3 | 6 | no | — |
| 170 | #1004 | — | 6 | 6 | no | — |
| 171 | C2×D3×D4 | — | 3 | 6 | no | — |
| 172 | C2×D3×D4 | — | 6 | 6 | no | — |
| 173 | C3×#137 | — | 3 | 6 | no | — |
| 174 | C3×AGL(1,ℤ/8) | — | 3 | 6 | no | — |
| 175 | C3×#135 | — | 3 | 6 | no | — |
| 176 | C2×C3×SD16 | — | 3 | 6 | no | — |
| 177 | C3×#131 | — | 3 | 2 | no | — |
| 178 | #950 | — | 3 | 6 | no | — |
| 179 | #950 | C2×D3 | 1 | 6 | yes | complemented |
| 180 | #949 | — | 3 | 6 | no | — |
| 181 | #949 | C2×D3 | 1 | 6 | yes | complemented |
| 182 | #948 | C2×D3 | 1 | 2 | yes | complemented |
| 183 | #942 | C2×D3 | 1 | 6 | yes | complemented |
| 184 | C2×#215 | C2×D3 | 1 | 6 | yes | complemented |
| 185 | #932 | — | 3 | 6 | no | — |
| 186 | C2×#213 | — | 3 | 6 | no | — |
| 187 | #919 | — | 3 | 12 | no | — |
| 188 | #918 | — | 3 | 6 | no | — |
| 189 | #918 | — | 3 | 6 | no | — |
| 190 | #916 | — | 3 | 12 | no | — |
| 191 | #915 | — | 3 | 6 | no | — |
| 192 | #915 | — | 3 | 2 | no | — |
| 193 | #914 | — | 3 | 6 | no | — |
| 194 | #914 | — | 3 | 12 | no | — |
| 195 | #914 | — | 3 | 12 | no | — |
| 196 | #914 | — | 3 | 12 | no | — |
| 197 | #914 | — | 3 | 6 | no | — |
| 198 | D3×SD16 | — | 3 | 12 | no | — |
| 199 | #911 | — | 3 | 6 | no | — |
| 200 | #911 | — | 3 | 6 | no | — |
| 201 | D3×D8 | — | 3 | 12 | no | — |
| 202 | #908 | — | 3 | 6 | no | — |
| 203 | #908 | — | 3 | 6 | no | — |
| 204 | #907 | — | 3 | 6 | no | — |
| 205 | D3×M16 | — | 3 | 6 | no | — |
| 206 | #904 | — | 3 | 6 | no | — |
| 207 | C2×D24 | — | 3 | 6 | no | — |
| 208 | #901 | — | 3 | 6 | no | — |
| 209 | C2×ΓL(1,𝔽25) | — | 3 | 6 | no | — |
| 210 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 211 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 212 | C22×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 213 | C22×C3×D3 | — | 2 | 6 | no | — |
| 214 | C2×D32 | — | 2 | 3 | no | — |
| 215 | C2×D32 | — | 2 | 6 | no | — |
| 216 | C2×D32 | — | 8 | 6 | no | — |
| 217 | C32×Q8 | — | 2 | 3 | no | — |
| 218 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | C32×Q8 | C24 | 1 | 3 | yes | — |
| 220 | C32×D4 | — | 2 | 3 | no | — |
| 221 | C32×D4 | C2×D4 | 1 | 3 | yes | — |
| 222 | C32×D4 | C24 | 1 | 1 | yes | characteristic |
| 223 | C2×C32×C4 | — | 2 | 3 | no | — |
| 224 | C2×C32×C4 | — | 2 | 3 | no | — |
| 225 | C2×C32×C4 | C24 | 1 | 3 | yes | — |
| 226 | #638 | — | 2 | 3 | no | — |
| 227 | #638 | — | 2 | 1 | no | — |
| 228 | #638 | — | 2 | 3 | no | — |
| 229 | #638 | C2×D4 | 1 | 6 | yes | — |
| 230 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 231 | C2×C3⋊Dic3 | C2×D4 | 1 | 3 | yes | — |
| 232 | C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 233 | C4⋊(C3⋊D3) | — | 2 | 6 | no | — |
| 234 | C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 235 | C4⋊(C3⋊D3) | C2×D4 | 1 | 3 | yes | — |
| 236 | C4⋊(C3⋊D3) | C24 | 1 | 3 | yes | — |
| 237 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 238 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 239 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 240 | C4×C3⋊D3 | — | 2 | 6 | no | — |
| 241 | C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 242 | C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 243 | C4×C3⋊D3 | C24 | 1 | 3 | yes | — |
| 244 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 245 | #634 | — | 2 | 3 | no | — |
| 246 | #634 | C2×D4 | 1 | 3 | yes | — |
| 247 | #634 | C24 | 1 | 1 | yes | characteristic |
| 248 | C3×#67 | — | 2 | 6 | no | — |
| 249 | C3×D12 | — | 2 | 6 | no | — |
| 250 | C3×D12 | C24 | 1 | 6 | yes | — |
| 251 | C3×C4×D3 | — | 2 | 6 | no | — |
| 252 | C3×Dic6 | C24 | 1 | 2 | yes | — |
| 253 | #627 | — | 2 | 1 | no | — |
| 254 | #626 | — | 2 | 6 | no | — |
| 255 | #625 | — | 2 | 6 | no | — |
| 256 | #625 | — | 2 | 3 | no | — |
| 257 | #624 | — | 2 | 1 | no | — |
| 258 | D3×Dic3 | — | 2 | 6 | no | — |
| 259 | C3×C3⋊C8 | C24 | 1 | 6 | yes | — |
| 260 | C3×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 261 | #585 | — | 9 | 1 | no | — |
| 262 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 263 | #577 | — | 3 | 2 | no | — |
| 264 | #577 | — | 9 | 6 | no | — |
| 265 | #576 | — | 9 | 2 | no | — |
| 266 | #576 | — | 9 | 6 | no | — |
| 267 | #575 | — | 9 | 3 | no | — |
| 268 | #575 | — | 9 | 3 | no | — |
| 269 | C2×AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 270 | C2×AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 271 | #568 | — | 9 | 1 | no | — |
| 272 | C23×D3 | — | 6 | 6 | no | — |
| 273 | C3×#41 | — | 2 | 6 | no | — |
| 274 | C3×#41 | — | 2 | 6 | no | — |
| 275 | C3×#41 | — | 2 | 1 | no | — |
| 276 | C3×#41 | — | 2 | 3 | no | — |
| 277 | C3×#41 | — | 3 | 6 | no | — |
| 278 | C3×#41 | — | 6 | 2 | no | — |
| 279 | C3×#41 | C22×D3 | 1 | 2 | yes | — |
| 280 | C3×#41 | C22×D3 | 1 | 6 | yes | complemented |
| 281 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 282 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 283 | C2×C3×Q8 | — | 2 | 3 | no | — |
| 284 | C2×C3×Q8 | C22×D3 | 1 | 6 | yes | complemented |
| 285 | C2×C3×D4 | — | 3 | 6 | no | — |
| 286 | C2×C3×D4 | — | 6 | 6 | no | — |
| 287 | C2×#67 | — | 6 | 6 | no | — |
| 288 | C2×#67 | — | 6 | 12 | no | — |
| 289 | #239 | — | 2 | 2 | no | — |
| 290 | #239 | — | 3 | 2 | no | — |
| 291 | #239 | — | 3 | 6 | no | — |
| 292 | #239 | — | 3 | 12 | no | — |
| 293 | #239 | — | 3 | 6 | no | — |
| 294 | #239 | — | 6 | 1 | no | — |
| 295 | #239 | — | 6 | 3 | no | — |
| 296 | #239 | — | 6 | 6 | no | — |
| 297 | #239 | — | 6 | 6 | no | — |
| 298 | #239 | — | 6 | 6 | no | — |
| 299 | #239 | — | 6 | 6 | no | — |
| 300 | #239 | — | 6 | 6 | no | — |
| 301 | #239 | — | 6 | 6 | no | — |
| 302 | #239 | — | 6 | 6 | no | — |
| 303 | #239 | — | 6 | 2 | no | — |
| 304 | #239 | — | 6 | 2 | no | — |
| 305 | D3×Q8 | — | 3 | 2 | no | — |
| 306 | D3×Q8 | — | 3 | 6 | no | — |
| 307 | D3×Q8 | — | 3 | 2 | no | — |
| 308 | D3×Q8 | — | 6 | 1 | no | — |
| 309 | D3×Q8 | — | 6 | 3 | no | — |
| 310 | D3×Q8 | — | 6 | 6 | no | — |
| 311 | D3×Q8 | — | 6 | 6 | no | — |
| 312 | #237 | — | 3 | 6 | no | — |
| 313 | #237 | — | 3 | 2 | no | — |
| 314 | #237 | — | 3 | 6 | no | — |
| 315 | #237 | — | 6 | 3 | no | — |
| 316 | #237 | — | 6 | 1 | no | — |
| 317 | #237 | — | 6 | 6 | no | — |
| 318 | #237 | — | 6 | 6 | no | — |
| 319 | #237 | — | 6 | 6 | no | — |
| 320 | #237 | — | 6 | 6 | no | — |
| 321 | D3×D4 | — | 2 | 6 | no | — |
| 322 | D3×D4 | — | 3 | 6 | no | — |
| 323 | D3×D4 | — | 3 | 6 | no | — |
| 324 | D3×D4 | — | 3 | 12 | no | — |
| 325 | D3×D4 | — | 3 | 6 | no | — |
| 326 | D3×D4 | — | 6 | 3 | no | — |
| 327 | D3×D4 | — | 6 | 3 | no | — |
| 328 | D3×D4 | — | 6 | 6 | no | — |
| 329 | D3×D4 | — | 6 | 6 | no | — |
| 330 | D3×D4 | — | 6 | 6 | no | — |
| 331 | D3×D4 | — | 6 | 6 | no | — |
| 332 | D3×D4 | — | 6 | 12 | no | — |
| 333 | D3×D4 | — | 6 | 12 | no | — |
| 334 | D3×D4 | — | 6 | 6 | no | — |
| 335 | D3×D4 | — | 6 | 12 | no | — |
| 336 | D3×D4 | — | 6 | 6 | no | — |
| 337 | D3×D4 | — | 6 | 6 | no | — |
| 338 | D3×D4 | — | 6 | 6 | no | — |
| 339 | #235 | — | 3 | 6 | no | — |
| 340 | #235 | — | 3 | 6 | no | — |
| 341 | #235 | — | 6 | 3 | no | — |
| 342 | #235 | — | 6 | 3 | no | — |
| 343 | #235 | — | 6 | 6 | no | — |
| 344 | #235 | — | 6 | 6 | no | — |
| 345 | #235 | — | 6 | 6 | no | — |
| 346 | #235 | — | 6 | 6 | no | — |
| 347 | #235 | — | 6 | 12 | no | — |
| 348 | #235 | — | 6 | 6 | no | — |
| 349 | #235 | — | 6 | 12 | no | — |
| 350 | #235 | — | 6 | 6 | no | — |
| 351 | #235 | C22×D3 | 1 | 6 | yes | — |
| 352 | C2×D12 | — | 3 | 6 | no | — |
| 353 | C2×D12 | — | 6 | 3 | no | — |
| 354 | C2×D12 | — | 6 | 6 | no | — |
| 355 | C2×D12 | — | 6 | 6 | no | — |
| 356 | C2×D12 | — | 6 | 6 | no | — |
| 357 | C2×D12 | — | 6 | 6 | no | — |
| 358 | C2×D12 | — | 6 | 6 | no | — |
| 359 | C2×D12 | C22×D3 | 1 | 6 | yes | — |
| 360 | C2×C4×D3 | — | 3 | 6 | no | — |
| 361 | C2×C4×D3 | — | 6 | 3 | no | — |
| 362 | C2×C4×D3 | — | 6 | 6 | no | — |
| 363 | C2×C4×D3 | — | 6 | 6 | no | — |
| 364 | C2×C4×D3 | — | 6 | 6 | no | — |
| 365 | C2×C4×D3 | — | 6 | 6 | no | — |
| 366 | C2×C4×D3 | — | 6 | 6 | no | — |
| 367 | C3×Q16 | — | 3 | 6 | no | — |
| 368 | C3×SD16 | — | 3 | 12 | no | — |
| 369 | C3×SD16 | — | 3 | 6 | no | — |
| 370 | C3×SD16 | — | 3 | 2 | no | — |
| 371 | C3×D8 | — | 3 | 6 | no | — |
| 372 | C3×M16 | — | 3 | 6 | no | — |
| 373 | C2×C3×C8 | — | 3 | 6 | no | — |
| 374 | #216 | — | 3 | 2 | no | — |
| 375 | #216 | C22×D3 | 1 | 6 | yes | complemented |
| 376 | #215 | — | 3 | 6 | no | — |
| 377 | #215 | C22×D3 | 1 | 12 | yes | complemented |
| 378 | #215 | C22×D3 | 1 | 6 | yes | complemented |
| 379 | #214 | — | 3 | 6 | no | — |
| 380 | #214 | C22×D3 | 1 | 2 | yes | complemented |
| 381 | #213 | — | 3 | 12 | no | — |
| 382 | #213 | — | 3 | 6 | no | — |
| 383 | #213 | C22×D3 | 1 | 6 | yes | complemented |
| 384 | #208 | C22×D3 | 1 | 6 | yes | complemented |
| 385 | C2×C3⋊C8 | C22×D3 | 1 | 6 | yes | complemented |
| 386 | Dic12 | — | 3 | 2 | no | — |
| 387 | D24 | — | 3 | 6 | no | — |
| 388 | D24 | — | 3 | 12 | no | — |
| 389 | #204 | — | 3 | 6 | no | — |
| 390 | #204 | — | 3 | 6 | no | — |
| 391 | ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 392 | ΓL(1,𝔽25) | — | 3 | 6 | no | — |
| 393 | ΓL(1,𝔽25) | — | 3 | 6 | no | — |
| 394 | ΓL(1,𝔽25) | — | 3 | 6 | no | — |
| 395 | D3×C8 | — | 3 | 12 | no | — |
| 396 | C22×C32 | — | 2 | 1 | no | — |
| 397 | C22×C32 | C22×D4 | 1 | 3 | yes | — |
| 398 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 399 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 400 | C2×C3⋊D3 | — | 8 | 3 | no | — |
| 401 | C2×C3⋊D3 | — | 8 | 3 | no | — |
| 402 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 403 | C2×C3⋊D3 | C22×D4 | 1 | 3 | yes | — |
| 404 | C2×C3×D3 | — | 2 | 6 | no | — |
| 405 | C2×C3×D3 | — | 8 | 6 | no | — |
| 406 | D32 | — | 4 | 6 | no | — |
| 407 | D32 | — | 8 | 6 | no | — |
| 408 | C32×C4 | — | 2 | 3 | no | — |
| 409 | C32×C4 | C22×D4 | 1 | 3 | yes | — |
| 410 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 411 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 412 | C3⋊Dic3 | C22×D4 | 1 | 3 | yes | — |
| 413 | C3⋊Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 414 | C3×Dic3 | — | 2 | 2 | no | — |
| 415 | 2−1+4 | — | 9 | 3 | no | — |
| 416 | 2−1+4 | — | 18 | 1 | no | — |
| 417 | 2−1+4 | D32 | 1 | 1 | yes | characteristic, complemented |
| 418 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 419 | H(5,𝔽2) | — | 9 | 6 | no | — |
| 420 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 421 | H(5,𝔽2) | — | 9 | 3 | no | — |
| 422 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 423 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 424 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 425 | C2×#41 | — | 9 | 1 | no | — |
| 426 | C2×#41 | — | 9 | 3 | no | — |
| 427 | C2×#41 | — | 9 | 3 | no | — |
| 428 | C2×#41 | — | 9 | 3 | no | — |
| 429 | C2×#41 | — | 18 | 1 | no | — |
| 430 | C2×#41 | — | 18 | 1 | no | — |
| 431 | C2×#41 | — | 18 | 3 | no | — |
| 432 | C22×D4 | — | 9 | 3 | no | — |
| 433 | C22×D4 | — | 18 | 3 | no | — |
| 434 | #137 | — | 3 | 6 | no | — |
| 435 | #137 | — | 9 | 1 | no | — |
| 436 | #137 | — | 9 | 6 | no | — |
| 437 | #137 | — | 9 | 3 | no | — |
| 438 | AGL(1,ℤ/8) | — | 3 | 6 | no | — |
| 439 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 440 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 441 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 442 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 443 | AGL(1,ℤ/8) | — | 9 | 3 | no | — |
| 444 | AGL(1,ℤ/8) | — | 9 | 6 | no | — |
| 445 | AGL(1,ℤ/8) | — | 9 | 12 | no | — |
| 446 | #135 | — | 3 | 6 | no | — |
| 447 | #135 | — | 9 | 6 | no | — |
| 448 | #135 | — | 9 | 12 | no | — |
| 449 | C2×SD16 | — | 3 | 6 | no | — |
| 450 | C2×SD16 | — | 9 | 6 | no | — |
| 451 | C2×D8 | — | 9 | 6 | no | — |
| 452 | C2×D8 | — | 9 | 6 | no | — |
| 453 | #131 | — | 3 | 2 | no | — |
| 454 | #131 | — | 9 | 6 | no | — |
| 455 | C2×M16 | — | 9 | 3 | no | — |
| 456 | C2×M16 | — | 9 | 3 | no | — |
| 457 | C23×C3 | — | 6 | 6 | no | — |
| 458 | C22×D3 | — | 2 | 6 | no | — |
| 459 | C22×D3 | — | 3 | 6 | no | — |
| 460 | C22×D3 | — | 6 | 3 | no | — |
| 461 | C22×D3 | — | 6 | 6 | no | — |
| 462 | C22×D3 | — | 6 | 12 | no | — |
| 463 | C22×D3 | — | 6 | 6 | no | — |
| 464 | C22×D3 | — | 6 | 6 | no | — |
| 465 | C22×D3 | — | 6 | 6 | no | — |
| 466 | C22×D3 | — | 6 | 6 | no | — |
| 467 | C22×D3 | — | 24 | 12 | no | — |
| 468 | C3×Q8 | — | 2 | 6 | no | — |
| 469 | C3×Q8 | — | 2 | 6 | no | — |
| 470 | C3×Q8 | — | 2 | 3 | no | — |
| 471 | C3×Q8 | — | 2 | 1 | no | — |
| 472 | C3×Q8 | — | 3 | 2 | no | — |
| 473 | C3×Q8 | D3×D4 | 1 | 2 | yes | — |
| 474 | C3×Q8 | C23×D3 | 1 | 6 | yes | — |
| 475 | C3×D4 | — | 2 | 6 | no | — |
| 476 | C3×D4 | — | 2 | 6 | no | — |
| 477 | C3×D4 | — | 2 | 1 | no | — |
| 478 | C3×D4 | — | 2 | 3 | no | — |
| 479 | C3×D4 | — | 3 | 6 | no | — |
| 480 | C3×D4 | — | 6 | 6 | no | — |
| 481 | C3×D4 | — | 6 | 6 | no | — |
| 482 | C3×D4 | D3×D4 | 1 | 6 | yes | — |
| 483 | C3×D4 | C23×D3 | 1 | 2 | yes | — |
| 484 | C2×C3×C4 | — | 2 | 6 | no | — |
| 485 | C2×C3×C4 | — | 2 | 6 | no | — |
| 486 | C2×C3×C4 | — | 2 | 6 | no | — |
| 487 | C2×C3×C4 | — | 2 | 6 | no | — |
| 488 | C2×C3×C4 | — | 2 | 3 | no | — |
| 489 | C2×C3×C4 | — | 6 | 6 | no | — |
| 490 | C2×C3×C4 | C23×D3 | 1 | 6 | yes | — |
| 491 | #67 | — | 2 | 6 | no | — |
| 492 | #67 | — | 3 | 12 | no | — |
| 493 | #67 | — | 6 | 6 | no | — |
| 494 | #67 | — | 6 | 6 | no | — |
| 495 | #67 | — | 6 | 12 | no | — |
| 496 | #67 | — | 6 | 6 | no | — |
| 497 | #67 | — | 6 | 6 | no | — |
| 498 | #67 | — | 6 | 2 | no | — |
| 499 | #67 | — | 6 | 6 | no | — |
| 500 | #67 | — | 6 | 2 | no | — |
| 501 | #67 | — | 6 | 6 | no | — |
| 502 | #67 | — | 6 | 6 | no | — |
| 503 | C2×Dic3 | — | 3 | 6 | no | — |
| 504 | C2×Dic3 | — | 6 | 3 | no | — |
| 505 | C2×Dic3 | — | 6 | 6 | no | — |
| 506 | C2×Dic3 | — | 6 | 2 | no | — |
| 507 | C2×Dic3 | — | 6 | 2 | no | — |
| 508 | D12 | — | 2 | 6 | no | — |
| 509 | D12 | — | 3 | 6 | no | — |
| 510 | D12 | — | 3 | 6 | no | — |
| 511 | D12 | — | 6 | 3 | no | — |
| 512 | D12 | — | 6 | 3 | no | — |
| 513 | D12 | — | 6 | 6 | no | — |
| 514 | D12 | — | 6 | 12 | no | — |
| 515 | D12 | — | 6 | 6 | no | — |
| 516 | D12 | — | 6 | 12 | no | — |
| 517 | D12 | — | 6 | 6 | no | — |
| 518 | D12 | — | 6 | 6 | no | — |
| 519 | D12 | — | 6 | 6 | no | — |
| 520 | D12 | C23×D3 | 1 | 6 | yes | — |
| 521 | C4×D3 | — | 2 | 6 | no | — |
| 522 | C4×D3 | — | 3 | 6 | no | — |
| 523 | C4×D3 | — | 3 | 6 | no | — |
| 524 | C4×D3 | — | 3 | 6 | no | — |
| 525 | C4×D3 | — | 3 | 2 | no | — |
| 526 | C4×D3 | — | 6 | 3 | no | — |
| 527 | C4×D3 | — | 6 | 3 | no | — |
| 528 | C4×D3 | — | 6 | 1 | no | — |
| 529 | C4×D3 | — | 6 | 3 | no | — |
| 530 | C4×D3 | — | 6 | 2 | no | — |
| 531 | C4×D3 | — | 6 | 6 | no | — |
| 532 | C4×D3 | — | 6 | 12 | no | — |
| 533 | C4×D3 | — | 6 | 6 | no | — |
| 534 | C4×D3 | — | 6 | 6 | no | — |
| 535 | C4×D3 | — | 6 | 6 | no | — |
| 536 | C4×D3 | — | 6 | 12 | no | — |
| 537 | C4×D3 | — | 6 | 6 | no | — |
| 538 | C4×D3 | — | 6 | 6 | no | — |
| 539 | C4×D3 | — | 6 | 6 | no | — |
| 540 | Dic6 | — | 3 | 6 | no | — |
| 541 | Dic6 | — | 3 | 2 | no | — |
| 542 | Dic6 | — | 6 | 3 | no | — |
| 543 | Dic6 | — | 6 | 1 | no | — |
| 544 | Dic6 | — | 6 | 2 | no | — |
| 545 | Dic6 | — | 6 | 6 | no | — |
| 546 | Dic6 | — | 6 | 6 | no | — |
| 547 | Dic6 | C23×D3 | 1 | 2 | yes | — |
| 548 | C3×C8 | — | 3 | 6 | no | — |
| 549 | C3×C8 | — | 3 | 2 | no | — |
| 550 | C3⋊C8 | C23×D3 | 1 | 6 | yes | — |
| 551 | C3⋊C8 | C23×D3 | 1 | 2 | yes | — |
| 552 | C2×C32 | — | 2 | 3 | no | — |
| 553 | C2×C32 | — | 4 | 1 | no | — |
| 554 | C2×C32 | C23×D4 | 1 | 1 | yes | characteristic |
| 555 | C3⋊D3 | — | 2 | 1 | no | — |
| 556 | C3⋊D3 | — | 2 | 3 | no | — |
| 557 | C3⋊D3 | — | 4 | 3 | no | — |
| 558 | C3×D3 | — | 4 | 6 | no | — |
| 559 | C24 | — | 18 | 3 | no | — |
| 560 | #41 | — | 2 | 3 | no | — |
| 561 | #41 | — | 3 | 6 | no | — |
| 562 | #41 | — | 6 | 2 | no | — |
| 563 | #41 | — | 9 | 1 | no | — |
| 564 | #41 | — | 9 | 3 | no | — |
| 565 | #41 | — | 9 | 3 | no | — |
| 566 | #41 | — | 9 | 6 | no | — |
| 567 | #41 | — | 9 | 6 | no | — |
| 568 | #41 | — | 9 | 3 | no | — |
| 569 | #41 | — | 9 | 1 | no | — |
| 570 | #41 | — | 9 | 3 | no | — |
| 571 | #41 | — | 18 | 3 | no | — |
| 572 | #41 | — | 18 | 6 | no | — |
| 573 | #41 | — | 18 | 3 | no | — |
| 574 | #41 | — | 18 | 3 | no | — |
| 575 | #41 | — | 18 | 6 | no | — |
| 576 | #41 | — | 18 | 3 | no | — |
| 577 | #41 | — | 18 | 3 | no | — |
| 578 | #41 | — | 18 | 3 | no | — |
| 579 | #41 | — | 18 | 3 | no | — |
| 580 | #41 | — | 18 | 3 | no | — |
| 581 | #41 | — | 18 | 1 | no | — |
| 582 | #41 | C2×D32 | 1 | 1 | yes | characteristic |
| 583 | #41 | C2×D32 | 1 | 3 | yes | complemented |
| 584 | C2×Q8 | — | 2 | 1 | no | — |
| 585 | C2×Q8 | — | 9 | 1 | no | — |
| 586 | C2×Q8 | — | 9 | 1 | no | — |
| 587 | C2×Q8 | — | 9 | 3 | no | — |
| 588 | C2×Q8 | — | 18 | 3 | no | — |
| 589 | C2×Q8 | C2×D32 | 1 | 3 | yes | complemented |
| 590 | C2×D4 | — | 3 | 6 | no | — |
| 591 | C2×D4 | — | 6 | 6 | no | — |
| 592 | C2×D4 | — | 9 | 6 | no | — |
| 593 | C2×D4 | — | 9 | 3 | no | — |
| 594 | C2×D4 | — | 9 | 3 | no | — |
| 595 | C2×D4 | — | 9 | 3 | no | — |
| 596 | C2×D4 | — | 9 | 3 | no | — |
| 597 | C2×D4 | — | 18 | 3 | no | — |
| 598 | C2×D4 | — | 18 | 3 | no | — |
| 599 | C2×D4 | — | 18 | 6 | no | — |
| 600 | C2×D4 | — | 18 | 3 | no | — |
| 601 | C2×D4 | — | 18 | 3 | no | — |
| 602 | C2×D4 | — | 18 | 3 | no | — |
| 603 | C2×D4 | — | 18 | 6 | no | — |
| 604 | C2×D4 | — | 18 | 3 | no | — |
| 605 | C2×D4 | — | 18 | 3 | no | — |
| 606 | C2×D4 | — | 18 | 12 | no | — |
| 607 | C2×D4 | — | 18 | 3 | no | — |
| 608 | C22×C4 | — | 9 | 3 | no | — |
| 609 | C22×C4 | — | 18 | 3 | no | — |
| 610 | C22×C4 | — | 18 | 3 | no | — |
| 611 | C22×C4 | — | 18 | 3 | no | — |
| 612 | Q16 | — | 3 | 6 | no | — |
| 613 | Q16 | — | 9 | 2 | no | — |
| 614 | SD16 | — | 3 | 6 | no | — |
| 615 | SD16 | — | 3 | 12 | no | — |
| 616 | SD16 | — | 3 | 2 | no | — |
| 617 | SD16 | — | 9 | 6 | no | — |
| 618 | SD16 | — | 9 | 6 | no | — |
| 619 | D8 | — | 3 | 6 | no | — |
| 620 | D8 | — | 9 | 6 | no | — |
| 621 | D8 | — | 9 | 12 | no | — |
| 622 | M16 | — | 3 | 6 | no | — |
| 623 | M16 | — | 9 | 1 | no | — |
| 624 | M16 | — | 9 | 3 | no | — |
| 625 | M16 | — | 9 | 6 | no | — |
| 626 | C2×C8 | — | 3 | 6 | no | — |
| 627 | C2×C8 | — | 9 | 6 | no | — |
| 628 | C22×C3 | — | 2 | 2 | no | — |
| 629 | C22×C3 | — | 2 | 2 | no | — |
| 630 | C22×C3 | — | 2 | 3 | no | — |
| 631 | C22×C3 | — | 6 | 6 | no | — |
| 632 | C22×C3 | — | 24 | 6 | no | — |
| 633 | C22×C3 | C2×D3×D4 | 1 | 6 | yes | — |
| 634 | C2×D3 | — | 2 | 6 | no | — |
| 635 | C2×D3 | — | 3 | 2 | no | — |
| 636 | C2×D3 | — | 3 | 6 | no | — |
| 637 | C2×D3 | — | 6 | 1 | no | — |
| 638 | C2×D3 | — | 6 | 3 | no | — |
| 639 | C2×D3 | — | 6 | 6 | no | — |
| 640 | C2×D3 | — | 6 | 6 | no | — |
| 641 | C2×D3 | — | 8 | 6 | no | — |
| 642 | C2×D3 | — | 12 | 12 | no | — |
| 643 | C2×D3 | — | 12 | 6 | no | — |
| 644 | C2×D3 | — | 24 | 3 | no | — |
| 645 | C2×D3 | — | 24 | 12 | no | — |
| 646 | C2×D3 | — | 24 | 6 | no | — |
| 647 | C2×D3 | — | 24 | 6 | no | — |
| 648 | C2×D3 | — | 24 | 6 | no | — |
| 649 | C2×D3 | — | 24 | 6 | no | — |
| 650 | C3×C4 | — | 2 | 6 | no | — |
| 651 | C3×C4 | — | 2 | 6 | no | — |
| 652 | C3×C4 | — | 2 | 3 | no | — |
| 653 | C3×C4 | — | 2 | 1 | no | — |
| 654 | C3×C4 | — | 6 | 2 | no | — |
| 655 | C3×C4 | C2×D3×D4 | 1 | 6 | yes | — |
| 656 | C3×C4 | C24×D3 | 1 | 2 | yes | — |
| 657 | Dic3 | — | 2 | 2 | no | — |
| 658 | Dic3 | — | 3 | 6 | no | — |
| 659 | Dic3 | — | 3 | 2 | no | — |
| 660 | Dic3 | — | 6 | 3 | no | — |
| 661 | Dic3 | — | 6 | 1 | no | — |
| 662 | Dic3 | — | 6 | 2 | no | — |
| 663 | Dic3 | — | 6 | 2 | no | — |
| 664 | C32 | #3585 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 665 | C23 | — | 6 | 6 | no | — |
| 666 | C23 | — | 9 | 3 | no | — |
| 667 | C23 | — | 18 | 3 | no | — |
| 668 | C23 | — | 18 | 3 | no | — |
| 669 | C23 | — | 18 | 6 | no | — |
| 670 | C23 | — | 18 | 3 | no | — |
| 671 | C23 | — | 72 | 6 | no | — |
| 672 | Q8 | — | 2 | 3 | no | — |
| 673 | Q8 | — | 3 | 2 | no | — |
| 674 | Q8 | — | 9 | 3 | no | — |
| 675 | Q8 | — | 9 | 1 | no | — |
| 676 | Q8 | — | 18 | 3 | no | — |
| 677 | Q8 | — | 18 | 1 | no | — |
| 678 | Q8 | #3811 | 1 | 1 | yes | characteristic |
| 679 | Q8 | C22×D32 | 1 | 3 | yes | — |
| 680 | D4 | — | 2 | 3 | no | — |
| 681 | D4 | — | 3 | 6 | no | — |
| 682 | D4 | — | 6 | 6 | no | — |
| 683 | D4 | — | 6 | 6 | no | — |
| 684 | D4 | — | 9 | 6 | no | — |
| 685 | D4 | — | 9 | 3 | no | — |
| 686 | D4 | — | 9 | 3 | no | — |
| 687 | D4 | — | 18 | 3 | no | — |
| 688 | D4 | — | 18 | 6 | no | — |
| 689 | D4 | — | 18 | 6 | no | — |
| 690 | D4 | — | 18 | 3 | no | — |
| 691 | D4 | — | 18 | 3 | no | — |
| 692 | D4 | — | 18 | 6 | no | — |
| 693 | D4 | — | 18 | 1 | no | — |
| 694 | D4 | — | 18 | 3 | no | — |
| 695 | D4 | — | 18 | 3 | no | — |
| 696 | D4 | #3811 | 1 | 3 | yes | — |
| 697 | D4 | C22×D32 | 1 | 1 | yes | characteristic |
| 698 | C2×C4 | — | 2 | 3 | no | — |
| 699 | C2×C4 | — | 2 | 3 | no | — |
| 700 | C2×C4 | — | 6 | 6 | no | — |
| 701 | C2×C4 | — | 9 | 3 | no | — |
| 702 | C2×C4 | — | 9 | 3 | no | — |
| 703 | C2×C4 | — | 9 | 3 | no | — |
| 704 | C2×C4 | — | 9 | 3 | no | — |
| 705 | C2×C4 | — | 9 | 1 | no | — |
| 706 | C2×C4 | — | 18 | 3 | no | — |
| 707 | C2×C4 | — | 18 | 6 | no | — |
| 708 | C2×C4 | — | 18 | 3 | no | — |
| 709 | C2×C4 | — | 18 | 1 | no | — |
| 710 | C2×C4 | — | 18 | 6 | no | — |
| 711 | C2×C4 | — | 18 | 1 | no | — |
| 712 | C2×C4 | — | 18 | 3 | no | — |
| 713 | C2×C4 | C22×D32 | 1 | 3 | yes | — |
| 714 | C8 | — | 3 | 2 | no | — |
| 715 | C8 | — | 3 | 6 | no | — |
| 716 | C2×C3 | — | 2 | 6 | no | — |
| 717 | C2×C3 | — | 2 | 1 | no | — |
| 718 | C2×C3 | — | 4 | 3 | no | — |
| 719 | C2×C3 | — | 4 | 2 | no | — |
| 720 | C2×C3 | — | 4 | 2 | no | — |
| 721 | C2×C3 | — | 12 | 6 | no | — |
| 722 | C2×C3 | C22×D3×D4 | 1 | 2 | yes | — |
| 723 | D3 | — | 4 | 6 | no | — |
| 724 | D3 | — | 6 | 2 | no | — |
| 725 | D3 | — | 6 | 6 | no | — |
| 726 | D3 | — | 12 | 1 | no | — |
| 727 | D3 | — | 12 | 3 | no | — |
| 728 | D3 | — | 12 | 6 | no | — |
| 729 | D3 | — | 12 | 6 | no | — |
| 730 | C22 | — | 2 | 1 | no | — |
| 731 | C22 | — | 6 | 6 | no | — |
| 732 | C22 | — | 9 | 1 | no | — |
| 733 | C22 | — | 9 | 3 | no | — |
| 734 | C22 | — | 18 | 3 | no | — |
| 735 | C22 | — | 24 | 6 | no | — |
| 736 | C22 | — | 36 | 3 | no | — |
| 737 | C22 | — | 36 | 6 | no | — |
| 738 | C22 | — | 72 | 3 | no | — |
| 739 | C22 | — | 72 | 3 | no | — |
| 740 | C22 | — | 72 | 6 | no | — |
| 741 | C22 | C2×#3811 | 1 | 3 | yes | — |
| 742 | C4 | — | 2 | 3 | no | — |
| 743 | C4 | — | 6 | 2 | no | — |
| 744 | C4 | — | 9 | 1 | no | — |
| 745 | C4 | — | 9 | 3 | no | — |
| 746 | C4 | — | 18 | 1 | no | — |
| 747 | C4 | C2×#3811 | 1 | 3 | yes | — |
| 748 | C4 | C23×D32 | 1 | 1 | yes | characteristic |
| 749 | C3 | — | 2 | 1 | no | — |
| 750 | C3 | #87207 | 1 | 2 | yes | complemented |
| 751 | C2 | — | 2 | 3 | no | — |
| 752 | C2 | — | 4 | 1 | no | — |
| 753 | C2 | — | 12 | 6 | no | — |
| 754 | C2 | — | 18 | 1 | no | — |
| 755 | C2 | — | 18 | 3 | no | — |
| 756 | C2 | — | 36 | 3 | no | — |
| 757 | C2 | C22×#3811 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C22×#3811 |
| commutator, cosocle | C32×C4 | C25 |
| Frattini | C4 | C23×D32 |
| Fitting | C32×2−1+4 | C22 |
| socle | C2×C32 | C23×D4 |
| hypercenter | 2−1+4 | D32 |
| hypocenter | C32 | #3585 |
| LCS | G ▷ C32×C4 ▷ C2×C32 ▷ C32 | |
| UCS | C1 ◁ C2 ◁ #41 ◁ 2−1+4 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596760 | C2 | semidirect |
| 2. #10596692 | C2 | semidirect |
| 3. C3×#5837 | C2 | semidirect |
| 4. #10595461 | C2 | semidirect |
| 5. #10595460 | C2 | semidirect |
| 6. #10595458 | C2 | semidirect |
| 7. #10595449 | C2 | semidirect |
| 8. #10595443 | C2 | semidirect |
| 9. #10595324 | C2 | semidirect |
| 10. #10595323 | C2 | semidirect |
| 11. C2×#63941 | C2 | semidirect |
| 13. C32×2−1+4 | C22 | semidirect |
| 15. #64366 | C22 | semidirect |
| 16. #64366 | C22 | semidirect |
| 19. #41×C3⋊D3 | C22 | semidirect |
| 21. #64364 | C22 | semidirect |
| 23. C2×#3832 | C22 | semidirect |
| 24. C3×#1009 | C22 | semidirect |
| 29. #64307 | C22 | semidirect |
| 30. #64306 | C22 | semidirect |
| 31. C2×#3802 | C22 | semidirect |
| 32. C3×#950 | C22 | semidirect |
| 33. C3×#949 | C22 | semidirect |
| 34. C3×#948 | C22 | semidirect |
| 35. C3×#942 | C22 | semidirect |
| 36. C2×C3×#215 | C22 | semidirect |
| 37. #63951 | C22 | semidirect |
| 38. #63950 | C22 | semidirect |
| 39. #63945 | C22 | semidirect |
| 40. #63941 | C22 | semidirect |
| 41. #63941 | C22 | semidirect |
| 42. #63941 | C22 | semidirect |
| 43. #63940 | C22 | semidirect |
| 44. #63937 | C22 | semidirect |
| 45. #63931 | C22 | semidirect |
| 46. #63927 | C22 | semidirect |
| 47. #63926 | C22 | semidirect |
| 48. #63830 | C22 | semidirect |
| 49. #63829 | C22 | semidirect |
| 50. #63825 | C22 | semidirect |
| 51. C2×#3714 | C22 | semidirect |
| 52. C2×#3712 | C22 | semidirect |
| 53. #63818 | C22 | semidirect |
| 54. #63817 | C22 | semidirect |
| 59. #5837 | D3 | semidirect |
| 74. C32×#41 | C23 | semidirect |
| 76. C2×C32×Q8 | C23 | semidirect |
| 83. #3832 | C23 | semidirect |
| 86. Q8×C3⋊D3 | C23 | semidirect |
| 94. D4×C3⋊D3 | C23 | semidirect |
| 99. #3828 | C23 | semidirect |
| 102. C2×C4⋊(C3⋊D3) | C23 | semidirect |
| 124. C3×#216 | C23 | semidirect |
| 125. C3×#215 | C23 | semidirect |
| 126. C3×#215 | C23 | semidirect |
| 127. C3×#214 | C23 | semidirect |
| 128. C3×#213 | C23 | semidirect |
| 129. C3×#208 | C23 | semidirect |
| 130. C2×C3×C3⋊C8 | C23 | semidirect |
| 131. #3719 | C23 | semidirect |
| 132. #3717 | C23 | semidirect |
| 133. #3716 | C23 | semidirect |
| 134. #3714 | C23 | semidirect |
| 135. #3714 | C23 | semidirect |
| 138. #3712 | C23 | semidirect |
| 139. #3710 | C23 | semidirect |
| 142. C3×2−1+4 | C2×D3 | semidirect |
| 152. #1009 | C2×D3 | semidirect |
| 179. #950 | C2×D3 | semidirect |
| 181. #949 | C2×D3 | semidirect |
| 182. #948 | C2×D3 | semidirect |
| 183. #942 | C2×D3 | semidirect |
| 184. C2×#215 | C2×D3 | semidirect |
| 280. C3×#41 | C22×D3 | semidirect |
| 284. C2×C3×Q8 | C22×D3 | semidirect |
| 375. #216 | C22×D3 | semidirect |
| 377. #215 | C22×D3 | semidirect |
| 378. #215 | C22×D3 | semidirect |
| 380. #214 | C22×D3 | semidirect |
| 383. #213 | C22×D3 | semidirect |
| 384. #208 | C22×D3 | semidirect |
| 385. C2×C3⋊C8 | C22×D3 | semidirect |
| 417. 2−1+4 | D32 | semidirect |
| 583. #41 | C2×D32 | semidirect |
| 589. C2×Q8 | C2×D32 | semidirect |
| 664. C32 | #3585 | semidirect |
| 750. C3 | #87207 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596760 | 2 |
| #10596692 | 2 |
| C3×#5837 | 2 |
| #10595461 | 2 |
| #10595460 | 2 |
| #10595458 | 2 |
| #10595449 | 2 |
| #10595443 | 2 |
| #10595324 | 2 |
| #10595323 | 2 |
| C2×#63941 | 2 |
| #87207 | 3 |