Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2981 conjugacy classes of subgroups.
The subgroup lattice has 1032 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596695 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C3⋊D3×#135 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5768 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10595460 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | D3×#950 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #10594769 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10594767 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10594754 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10594752 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10594750 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10594735 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10594733 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | C2×#63805 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10594684 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #10594676 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #87199 | — | 3 | 2 | no | maximal |
| 17 | #41×C3⋊D3 | C22 | 1 | 2 | yes | complemented |
| 18 | C3×D3×#41 | C22 | 1 | 4 | yes | complemented |
| 19 | #64320 | C22 | 1 | 2 | yes | complemented |
| 20 | #64316 | C22 | 1 | 2 | yes | complemented |
| 21 | #64315 | C22 | 1 | 4 | yes | complemented |
| 22 | #64314 | — | 2 | 4 | no | — |
| 23 | #64314 | C22 | 1 | 4 | yes | complemented |
| 24 | #64313 | — | 2 | 2 | no | — |
| 25 | #64313 | C22 | 1 | 2 | yes | complemented |
| 26 | #64309 | — | 2 | 2 | no | — |
| 27 | #64309 | C22 | 1 | 2 | yes | complemented |
| 28 | #64306 | — | 2 | 2 | no | — |
| 29 | #64306 | C22 | 1 | 2 | yes | complemented |
| 30 | D3×#235 | — | 2 | 4 | no | — |
| 31 | D3×#235 | C22 | 1 | 4 | yes | complemented |
| 32 | C2×#3798 | — | 2 | 2 | no | — |
| 33 | C2×#3798 | C22 | 1 | 1 | yes | characteristic |
| 34 | C32×#135 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #64159 | C22 | 1 | 2 | yes | complemented |
| 36 | #64128 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | Q16×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #64125 | C22 | 1 | 2 | yes | complemented |
| 39 | SD16×C3⋊D3 | C22 | 1 | 2 | yes | complemented |
| 40 | #64121 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | D8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #64113 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×C8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C3×#950 | C22 | 1 | 4 | yes | complemented |
| 45 | C3×#918 | C22 | 1 | 4 | yes | complemented |
| 46 | C3×#915 | C22 | 1 | 4 | yes | complemented |
| 47 | C3×#914 | C22 | 1 | 4 | yes | complemented |
| 48 | C3×#911 | C22 | 1 | 4 | yes | complemented |
| 49 | C3×#904 | C22 | 1 | 2 | yes | complemented |
| 50 | C2×C3×ΓL(1,𝔽25) | C22 | 1 | 2 | yes | complemented |
| 51 | #63951 | C22 | 1 | 4 | yes | complemented |
| 52 | #63949 | C22 | 1 | 4 | yes | complemented |
| 53 | #63947 | C22 | 1 | 4 | yes | complemented |
| 54 | #63945 | C22 | 1 | 2 | yes | complemented |
| 55 | D3×#216 | C22 | 1 | 4 | yes | complemented |
| 56 | #63941 | C22 | 1 | 2 | yes | complemented |
| 57 | D3×#215 | C22 | 1 | 4 | yes | complemented |
| 58 | #63937 | C22 | 1 | 4 | yes | complemented |
| 59 | #63935 | C22 | 1 | 4 | yes | complemented |
| 60 | #63933 | C22 | 1 | 4 | yes | complemented |
| 61 | #63931 | C22 | 1 | 2 | yes | complemented |
| 62 | D3×#214 | C22 | 1 | 4 | yes | complemented |
| 63 | #63927 | C22 | 1 | 2 | yes | complemented |
| 64 | D3×#213 | C22 | 1 | 4 | yes | complemented |
| 65 | #63829 | C22 | 1 | 4 | yes | complemented |
| 66 | #63822 | C22 | 1 | 2 | yes | complemented |
| 67 | C2×#3712 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | C2×D3×C3⋊C8 | C22 | 1 | 2 | yes | complemented |
| 69 | #63810 | C22 | 1 | 2 | yes | complemented |
| 70 | #63809 | C22 | 1 | 2 | yes | complemented |
| 71 | #63805 | C22 | 1 | 2 | yes | complemented |
| 72 | #63805 | C22 | 1 | 2 | yes | complemented |
| 73 | #63805 | C22 | 1 | 2 | yes | complemented |
| 74 | #63805 | C22 | 1 | 2 | yes | complemented |
| 75 | #63802 | C22 | 1 | 1 | yes | characteristic, complemented |
| 76 | #63801 | C22 | 1 | 4 | yes | complemented |
| 77 | #63800 | C22 | 1 | 4 | yes | complemented |
| 78 | #63797 | C22 | 1 | 1 | yes | characteristic, complemented |
| 79 | #63796 | C22 | 1 | 2 | yes | complemented |
| 80 | #63795 | C22 | 1 | 4 | yes | complemented |
| 81 | #63794 | C22 | 1 | 4 | yes | complemented |
| 82 | #5964 | — | 3 | 4 | no | — |
| 83 | C3×#575 | — | 3 | 2 | no | — |
| 84 | C2×#950 | — | 3 | 4 | no | — |
| 85 | #5779 | — | 3 | 4 | no | — |
| 86 | #5779 | — | 3 | 4 | no | — |
| 87 | #5778 | — | 3 | 4 | no | — |
| 88 | #5778 | — | 3 | 4 | no | — |
| 89 | #5775 | — | 3 | 4 | no | — |
| 90 | #5775 | — | 3 | 4 | no | — |
| 91 | #5774 | — | 3 | 4 | no | — |
| 92 | #5774 | — | 3 | 4 | no | — |
| 93 | #5768 | — | 3 | 4 | no | — |
| 94 | #5768 | — | 3 | 2 | no | — |
| 95 | #5768 | D3 | 1 | 2 | yes | complemented |
| 96 | D3×#135 | — | 3 | 4 | no | — |
| 97 | D3×#135 | — | 3 | 2 | no | — |
| 98 | D3×#135 | — | 3 | 2 | no | — |
| 99 | D3×#135 | — | 6 | 1 | no | — |
| 100 | #5748 | — | 3 | 2 | no | — |
| 101 | C2×#907 | — | 3 | 2 | no | — |
| 102 | C32×#41 | C23 | 1 | 2 | yes | — |
| 103 | #3832 | C23 | 1 | 2 | yes | — |
| 104 | Q8×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 105 | #3830 | — | 2 | 2 | no | — |
| 106 | #3830 | C23 | 1 | 2 | yes | — |
| 107 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 108 | D4×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 109 | #3828 | — | 2 | 2 | no | — |
| 110 | #3828 | C23 | 1 | 2 | yes | — |
| 111 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 112 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 113 | C3×#239 | C23 | 1 | 4 | yes | — |
| 114 | C3×D3×Q8 | C23 | 1 | 4 | yes | — |
| 115 | C3×#237 | — | 2 | 4 | no | — |
| 116 | C3×#237 | C23 | 1 | 4 | yes | — |
| 117 | C3×D3×D4 | — | 2 | 4 | no | — |
| 118 | C3×D3×D4 | C23 | 1 | 4 | yes | — |
| 119 | C3×#235 | — | 2 | 4 | no | — |
| 120 | C3×#235 | C23 | 1 | 4 | yes | — |
| 121 | C2×C3×C4×D3 | — | 2 | 4 | no | — |
| 122 | C2×C3×C4×D3 | C23 | 1 | 2 | yes | — |
| 123 | #3811 | — | 2 | 2 | no | — |
| 124 | #3811 | — | 2 | 4 | no | — |
| 125 | D3×#67 | — | 2 | 4 | no | — |
| 126 | D3×#67 | — | 2 | 4 | no | — |
| 127 | D3×#67 | — | 2 | 4 | no | — |
| 128 | C2×#627 | — | 2 | 2 | no | — |
| 129 | C2×#627 | D4 | 1 | 1 | yes | characteristic |
| 130 | C2×#626 | — | 2 | 4 | no | — |
| 131 | C2×#626 | D4 | 1 | 2 | yes | — |
| 132 | C2×#625 | — | 2 | 2 | no | — |
| 133 | C2×#625 | D4 | 1 | 1 | yes | characteristic |
| 134 | #3805 | — | 2 | 2 | no | — |
| 135 | #3805 | — | 2 | 2 | no | — |
| 136 | #3805 | — | 2 | 2 | no | — |
| 137 | #3804 | — | 2 | 4 | no | — |
| 138 | #3804 | — | 2 | 4 | no | — |
| 139 | #3804 | — | 2 | 4 | no | — |
| 140 | #3802 | — | 2 | 2 | no | — |
| 141 | #3802 | C23 | 1 | 2 | yes | — |
| 142 | D3×D12 | — | 2 | 4 | no | — |
| 143 | D3×D12 | C23 | 1 | 4 | yes | — |
| 144 | C4×D32 | — | 2 | 2 | no | — |
| 145 | C4×D32 | — | 2 | 4 | no | — |
| 146 | #3799 | — | 2 | 4 | no | — |
| 147 | #3799 | C23 | 1 | 4 | yes | — |
| 148 | #3798 | — | 2 | 2 | no | — |
| 149 | #3798 | — | 2 | 4 | no | — |
| 150 | #3798 | — | 2 | 2 | no | — |
| 151 | #3798 | — | 2 | 4 | no | — |
| 152 | #3798 | — | 2 | 2 | no | — |
| 153 | #3798 | D4 | 1 | 2 | yes | — |
| 154 | #3798 | D4 | 1 | 2 | yes | — |
| 155 | #3798 | C23 | 1 | 2 | yes | — |
| 156 | #3798 | C23 | 1 | 2 | yes | — |
| 157 | #3797 | — | 2 | 2 | no | — |
| 158 | #3797 | C23 | 1 | 2 | yes | — |
| 159 | #3796 | — | 2 | 4 | no | — |
| 160 | #3796 | C23 | 1 | 4 | yes | — |
| 161 | #3795 | — | 2 | 4 | no | — |
| 162 | #3795 | C23 | 1 | 4 | yes | — |
| 163 | D3×Dic6 | — | 2 | 4 | no | — |
| 164 | D3×Dic6 | C23 | 1 | 4 | yes | — |
| 165 | C32×Q16 | C23 | 1 | 1 | yes | characteristic |
| 166 | C32×SD16 | C23 | 1 | 2 | yes | — |
| 167 | C32×D8 | C23 | 1 | 1 | yes | characteristic |
| 168 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 169 | #3756 | C23 | 1 | 2 | yes | — |
| 170 | #3755 | C23 | 1 | 2 | yes | — |
| 171 | #3754 | C23 | 1 | 2 | yes | — |
| 172 | #3753 | C23 | 1 | 2 | yes | — |
| 173 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 174 | #3746 | C23 | 1 | 1 | yes | characteristic |
| 175 | #3745 | C23 | 1 | 1 | yes | characteristic |
| 176 | #3744 | C23 | 1 | 2 | yes | — |
| 177 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 178 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 179 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 180 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 181 | C3×#216 | C23 | 1 | 4 | yes | — |
| 182 | C3×#215 | C23 | 1 | 4 | yes | — |
| 183 | C3×#214 | C23 | 1 | 4 | yes | — |
| 184 | C3×#213 | C23 | 1 | 4 | yes | — |
| 185 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 186 | C3×Dic12 | C23 | 1 | 2 | yes | — |
| 187 | C3×D24 | C23 | 1 | 2 | yes | — |
| 188 | C3×#204 | C23 | 1 | 4 | yes | — |
| 189 | C3×ΓL(1,𝔽25) | C23 | 1 | 4 | yes | — |
| 190 | C3×ΓL(1,𝔽25) | C23 | 1 | 4 | yes | — |
| 191 | #3719 | C23 | 1 | 4 | yes | — |
| 192 | #3718 | C23 | 1 | 2 | yes | — |
| 193 | #3717 | C23 | 1 | 4 | yes | — |
| 194 | #3716 | C23 | 1 | 4 | yes | — |
| 195 | #3715 | C23 | 1 | 4 | yes | — |
| 196 | #3714 | C23 | 1 | 4 | yes | — |
| 197 | #3713 | C23 | 1 | 2 | yes | — |
| 198 | #3712 | C23 | 1 | 2 | yes | — |
| 199 | #3712 | C23 | 1 | 2 | yes | — |
| 200 | D3×C3⋊C8 | C23 | 1 | 4 | yes | — |
| 201 | D3×C3⋊C8 | C23 | 1 | 4 | yes | — |
| 202 | #3584 | — | 9 | 1 | no | Sylow |
| 203 | C2×C3×#41 | — | 3 | 4 | no | — |
| 204 | #1010 | — | 3 | 4 | no | — |
| 205 | #1010 | — | 3 | 4 | no | — |
| 206 | #1010 | — | 6 | 4 | no | — |
| 207 | #1009 | — | 3 | 4 | no | — |
| 208 | #1009 | — | 3 | 4 | no | — |
| 209 | #1009 | — | 6 | 4 | no | — |
| 210 | D3×#41 | — | 3 | 4 | no | — |
| 211 | D3×#41 | — | 3 | 4 | no | — |
| 212 | D3×#41 | — | 3 | 4 | no | — |
| 213 | D3×#41 | — | 6 | 2 | no | — |
| 214 | D3×#41 | — | 6 | 4 | no | — |
| 215 | D3×#41 | — | 6 | 4 | no | — |
| 216 | D3×#41 | C2×D3 | 1 | 4 | yes | complemented |
| 217 | #1007 | — | 3 | 4 | no | — |
| 218 | #1007 | — | 3 | 4 | no | — |
| 219 | #1004 | — | 3 | 4 | no | — |
| 220 | #1004 | — | 3 | 4 | no | — |
| 221 | #1004 | — | 6 | 4 | no | — |
| 222 | #1004 | — | 6 | 4 | no | — |
| 223 | C2×#235 | — | 3 | 2 | no | — |
| 224 | C2×#235 | — | 3 | 4 | no | — |
| 225 | C2×#235 | — | 6 | 4 | no | — |
| 226 | C2×#235 | — | 6 | 4 | no | — |
| 227 | C3×#137 | — | 3 | 4 | no | — |
| 228 | C3×#137 | — | 3 | 4 | no | — |
| 229 | C3×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 230 | C3×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 231 | C3×#135 | — | 2 | 1 | no | — |
| 232 | C3×#135 | — | 3 | 4 | no | — |
| 233 | C3×#135 | — | 3 | 2 | no | — |
| 234 | C3×#135 | C2×D3 | 1 | 2 | yes | complemented |
| 235 | C2×C3×M16 | — | 3 | 2 | no | — |
| 236 | #950 | — | 3 | 4 | no | — |
| 237 | #950 | — | 3 | 4 | no | — |
| 238 | #950 | — | 3 | 4 | no | — |
| 239 | #950 | — | 3 | 4 | no | — |
| 240 | #950 | — | 3 | 4 | no | — |
| 241 | #950 | — | 3 | 4 | no | — |
| 242 | #950 | — | 3 | 4 | no | — |
| 243 | #950 | — | 6 | 2 | no | — |
| 244 | #950 | C2×D3 | 1 | 4 | yes | complemented |
| 245 | C2×#216 | — | 3 | 4 | no | — |
| 246 | C2×#215 | — | 3 | 4 | no | — |
| 247 | C2×#214 | — | 3 | 4 | no | — |
| 248 | C2×#213 | — | 3 | 4 | no | — |
| 249 | C22×C3⋊C8 | — | 3 | 2 | no | — |
| 250 | #919 | — | 3 | 4 | no | — |
| 251 | #919 | — | 3 | 2 | no | — |
| 252 | #919 | — | 3 | 2 | no | — |
| 253 | #919 | — | 6 | 1 | no | — |
| 254 | #918 | — | 3 | 4 | no | — |
| 255 | #918 | — | 3 | 4 | no | — |
| 256 | #918 | — | 3 | 4 | no | — |
| 257 | #918 | C2×D3 | 1 | 4 | yes | complemented |
| 258 | D3×Q16 | — | 3 | 4 | no | — |
| 259 | D3×Q16 | — | 3 | 2 | no | — |
| 260 | D3×Q16 | — | 3 | 2 | no | — |
| 261 | D3×Q16 | — | 6 | 1 | no | — |
| 262 | #916 | — | 3 | 4 | no | — |
| 263 | #916 | — | 3 | 4 | no | — |
| 264 | #916 | — | 3 | 4 | no | — |
| 265 | #916 | — | 3 | 4 | no | — |
| 266 | #916 | — | 6 | 2 | no | — |
| 267 | #915 | — | 3 | 4 | no | — |
| 268 | #915 | — | 3 | 4 | no | — |
| 269 | #915 | — | 3 | 4 | no | — |
| 270 | #915 | C2×D3 | 1 | 4 | yes | complemented |
| 271 | #914 | — | 3 | 4 | no | — |
| 272 | #914 | — | 3 | 4 | no | — |
| 273 | #914 | — | 3 | 4 | no | — |
| 274 | #914 | C2×D3 | 1 | 4 | yes | complemented |
| 275 | D3×SD16 | — | 3 | 4 | no | — |
| 276 | D3×SD16 | — | 3 | 4 | no | — |
| 277 | D3×SD16 | — | 3 | 4 | no | — |
| 278 | D3×SD16 | — | 3 | 4 | no | — |
| 279 | D3×SD16 | — | 6 | 2 | no | — |
| 280 | #912 | — | 3 | 4 | no | — |
| 281 | #912 | — | 3 | 2 | no | — |
| 282 | #912 | — | 3 | 2 | no | — |
| 283 | #912 | — | 6 | 1 | no | — |
| 284 | #911 | — | 3 | 4 | no | — |
| 285 | #911 | — | 3 | 4 | no | — |
| 286 | #911 | — | 3 | 4 | no | — |
| 287 | #911 | C2×D3 | 1 | 4 | yes | complemented |
| 288 | D3×D8 | — | 3 | 4 | no | — |
| 289 | D3×D8 | — | 3 | 2 | no | — |
| 290 | D3×D8 | — | 3 | 2 | no | — |
| 291 | D3×D8 | — | 6 | 1 | no | — |
| 292 | #909 | — | 3 | 4 | no | — |
| 293 | #909 | — | 3 | 4 | no | — |
| 294 | #908 | — | 3 | 4 | no | — |
| 295 | #908 | — | 3 | 4 | no | — |
| 296 | #907 | — | 3 | 4 | no | — |
| 297 | #907 | — | 3 | 4 | no | — |
| 298 | #907 | — | 3 | 4 | no | — |
| 299 | #907 | — | 3 | 4 | no | — |
| 300 | #904 | — | 3 | 4 | no | — |
| 301 | #904 | — | 3 | 2 | no | — |
| 302 | #904 | — | 6 | 1 | no | — |
| 303 | #904 | C2×D3 | 1 | 2 | yes | complemented |
| 304 | C2×ΓL(1,𝔽25) | — | 3 | 2 | no | — |
| 305 | C2×ΓL(1,𝔽25) | C2×D3 | 1 | 2 | yes | complemented |
| 306 | C2×D3×C8 | — | 3 | 2 | no | — |
| 307 | C2×D3×C8 | — | 3 | 2 | no | — |
| 308 | C2×D3×C8 | — | 6 | 1 | no | — |
| 309 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 310 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 311 | C22×C3×D3 | — | 2 | 4 | no | — |
| 312 | C22×C3×D3 | C2×D4 | 1 | 2 | yes | — |
| 313 | C2×D32 | — | 2 | 2 | no | — |
| 314 | C2×D32 | — | 2 | 4 | no | — |
| 315 | C32×Q8 | C24 | 1 | 2 | yes | — |
| 316 | C32×D4 | — | 2 | 2 | no | — |
| 317 | C32×D4 | C24 | 1 | 2 | yes | — |
| 318 | C2×C32×C4 | — | 2 | 2 | no | — |
| 319 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 320 | #638 | — | 2 | 2 | no | — |
| 321 | #638 | — | 2 | 2 | no | — |
| 322 | #638 | — | 2 | 2 | no | — |
| 323 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 324 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 326 | C4⋊(C3⋊D3) | C24 | 1 | 2 | yes | — |
| 327 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 328 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 329 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 330 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 331 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 332 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 333 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 334 | #634 | — | 2 | 2 | no | — |
| 335 | #634 | C24 | 1 | 2 | yes | — |
| 336 | C3×#67 | — | 2 | 4 | no | — |
| 337 | C3×#67 | — | 2 | 4 | no | — |
| 338 | C3×#67 | — | 2 | 4 | no | — |
| 339 | C2×C3×Dic3 | — | 2 | 4 | no | — |
| 340 | C2×C3×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 341 | C3×D12 | — | 2 | 4 | no | — |
| 342 | C3×D12 | C24 | 1 | 4 | yes | — |
| 343 | C3×C4×D3 | — | 2 | 4 | no | — |
| 344 | C3×C4×D3 | — | 2 | 4 | no | — |
| 345 | C3×C4×D3 | — | 2 | 4 | no | — |
| 346 | C3×C4×D3 | C2×D4 | 1 | 4 | yes | — |
| 347 | C3×C4×D3 | C24 | 1 | 4 | yes | — |
| 348 | C3×Dic6 | — | 2 | 4 | no | — |
| 349 | C3×Dic6 | C24 | 1 | 4 | yes | — |
| 350 | #627 | — | 2 | 2 | no | — |
| 351 | #627 | — | 2 | 4 | no | — |
| 352 | #627 | C2×D4 | 1 | 2 | yes | — |
| 353 | #627 | C2×D4 | 1 | 2 | yes | — |
| 354 | #626 | — | 2 | 4 | no | — |
| 355 | #626 | — | 2 | 4 | no | — |
| 356 | #626 | — | 2 | 4 | no | — |
| 357 | #626 | C2×D4 | 1 | 4 | yes | — |
| 358 | #626 | C2×D4 | 1 | 4 | yes | — |
| 359 | #625 | — | 2 | 4 | no | — |
| 360 | #625 | — | 2 | 2 | no | — |
| 361 | #625 | C2×D4 | 1 | 2 | yes | — |
| 362 | #625 | C2×D4 | 1 | 2 | yes | — |
| 363 | #624 | — | 2 | 2 | no | — |
| 364 | #624 | — | 2 | 4 | no | — |
| 365 | D3×Dic3 | — | 2 | 4 | no | — |
| 366 | D3×Dic3 | — | 2 | 4 | no | — |
| 367 | D3×Dic3 | — | 2 | 4 | no | — |
| 368 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 369 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 370 | C3⋊(C3⋊C8) | C24 | 1 | 1 | yes | characteristic |
| 371 | C3⋊(C3⋊C8) | C24 | 1 | 1 | yes | characteristic |
| 372 | C3×C3⋊C8 | C24 | 1 | 4 | yes | — |
| 373 | #585 | — | 9 | 2 | no | — |
| 374 | #578 | — | 9 | 2 | no | — |
| 375 | #578 | — | 9 | 2 | no | — |
| 376 | #577 | — | 9 | 2 | no | — |
| 377 | #577 | — | 9 | 4 | no | — |
| 378 | #577 | — | 9 | 2 | no | — |
| 379 | #576 | — | 9 | 2 | no | — |
| 380 | #576 | — | 9 | 2 | no | — |
| 381 | #575 | — | 3 | 2 | no | — |
| 382 | #575 | — | 9 | 2 | no | — |
| 383 | #575 | — | 9 | 2 | no | — |
| 384 | C2×#135 | — | 9 | 1 | no | — |
| 385 | C2×#135 | — | 9 | 4 | no | — |
| 386 | C2×#135 | — | 9 | 1 | no | — |
| 387 | C2×#131 | — | 9 | 1 | no | — |
| 388 | C3×#41 | — | 2 | 2 | no | — |
| 389 | C3×#41 | — | 3 | 4 | no | — |
| 390 | C3×#41 | — | 3 | 4 | no | — |
| 391 | C3×#41 | — | 3 | 4 | no | — |
| 392 | C3×#41 | — | 6 | 4 | no | — |
| 393 | C3×#41 | — | 6 | 4 | no | — |
| 394 | C3×#41 | C22×D3 | 1 | 4 | yes | — |
| 395 | C2×C3×Q8 | — | 3 | 4 | no | — |
| 396 | C2×C3×D4 | — | 3 | 4 | no | — |
| 397 | C2×C3×D4 | — | 6 | 4 | no | — |
| 398 | C22×C3×C4 | — | 3 | 2 | no | — |
| 399 | C22×C3×C4 | — | 6 | 4 | no | — |
| 400 | C2×#67 | — | 3 | 2 | no | — |
| 401 | C2×#67 | — | 3 | 2 | no | — |
| 402 | C2×#67 | — | 6 | 4 | no | — |
| 403 | C2×#67 | — | 6 | 4 | no | — |
| 404 | C2×#67 | — | 6 | 4 | no | — |
| 405 | C2×#67 | — | 6 | 4 | no | — |
| 406 | C2×#67 | — | 6 | 4 | no | — |
| 407 | #239 | — | 3 | 4 | no | — |
| 408 | #239 | — | 3 | 4 | no | — |
| 409 | #239 | — | 3 | 4 | no | — |
| 410 | #239 | — | 6 | 2 | no | — |
| 411 | #239 | — | 6 | 4 | no | — |
| 412 | #239 | — | 6 | 4 | no | — |
| 413 | #239 | C22×D3 | 1 | 4 | yes | — |
| 414 | D3×Q8 | — | 3 | 4 | no | — |
| 415 | D3×Q8 | — | 3 | 4 | no | — |
| 416 | D3×Q8 | — | 3 | 4 | no | — |
| 417 | D3×Q8 | — | 6 | 2 | no | — |
| 418 | D3×Q8 | — | 6 | 4 | no | — |
| 419 | D3×Q8 | — | 6 | 4 | no | — |
| 420 | D3×Q8 | C22×D3 | 1 | 4 | yes | — |
| 421 | #237 | — | 2 | 4 | no | — |
| 422 | #237 | — | 3 | 4 | no | — |
| 423 | #237 | — | 3 | 4 | no | — |
| 424 | #237 | — | 3 | 4 | no | — |
| 425 | #237 | — | 6 | 2 | no | — |
| 426 | #237 | — | 6 | 4 | no | — |
| 427 | #237 | — | 6 | 4 | no | — |
| 428 | #237 | — | 6 | 4 | no | — |
| 429 | #237 | — | 6 | 4 | no | — |
| 430 | #237 | — | 6 | 4 | no | — |
| 431 | #237 | — | 6 | 4 | no | — |
| 432 | #237 | — | 6 | 4 | no | — |
| 433 | #237 | — | 6 | 4 | no | — |
| 434 | #237 | — | 6 | 4 | no | — |
| 435 | #237 | — | 12 | 2 | no | — |
| 436 | #237 | C22×D3 | 1 | 4 | yes | — |
| 437 | D3×D4 | — | 2 | 4 | no | — |
| 438 | D3×D4 | — | 3 | 4 | no | — |
| 439 | D3×D4 | — | 3 | 4 | no | — |
| 440 | D3×D4 | — | 3 | 4 | no | — |
| 441 | D3×D4 | — | 6 | 2 | no | — |
| 442 | D3×D4 | — | 6 | 4 | no | — |
| 443 | D3×D4 | — | 6 | 4 | no | — |
| 444 | D3×D4 | — | 6 | 4 | no | — |
| 445 | D3×D4 | — | 6 | 4 | no | — |
| 446 | D3×D4 | — | 6 | 4 | no | — |
| 447 | D3×D4 | — | 6 | 4 | no | — |
| 448 | D3×D4 | — | 6 | 4 | no | — |
| 449 | D3×D4 | — | 6 | 4 | no | — |
| 450 | D3×D4 | — | 6 | 4 | no | — |
| 451 | D3×D4 | — | 12 | 2 | no | — |
| 452 | D3×D4 | C22×D3 | 1 | 4 | yes | — |
| 453 | #235 | — | 2 | 4 | no | — |
| 454 | #235 | — | 3 | 4 | no | — |
| 455 | #235 | — | 3 | 4 | no | — |
| 456 | #235 | — | 3 | 4 | no | — |
| 457 | #235 | — | 3 | 4 | no | — |
| 458 | #235 | — | 3 | 4 | no | — |
| 459 | #235 | — | 3 | 4 | no | — |
| 460 | #235 | — | 3 | 4 | no | — |
| 461 | #235 | — | 6 | 2 | no | — |
| 462 | #235 | — | 6 | 4 | no | — |
| 463 | #235 | — | 6 | 4 | no | — |
| 464 | #235 | — | 6 | 4 | no | — |
| 465 | #235 | — | 6 | 4 | no | — |
| 466 | #235 | — | 6 | 4 | no | — |
| 467 | #235 | — | 6 | 4 | no | — |
| 468 | #235 | — | 6 | 4 | no | — |
| 469 | #235 | — | 6 | 4 | no | — |
| 470 | #235 | — | 6 | 4 | no | — |
| 471 | #235 | — | 6 | 4 | no | — |
| 472 | #235 | — | 6 | 4 | no | — |
| 473 | #235 | — | 6 | 4 | no | — |
| 474 | #235 | — | 6 | 4 | no | — |
| 475 | #235 | — | 12 | 2 | no | — |
| 476 | #235 | C22×D3 | 1 | 4 | yes | — |
| 477 | C2×D12 | — | 3 | 2 | no | — |
| 478 | C2×D12 | — | 3 | 4 | no | — |
| 479 | C2×D12 | — | 6 | 4 | no | — |
| 480 | C2×D12 | — | 6 | 4 | no | — |
| 481 | C2×C4×D3 | — | 2 | 4 | no | — |
| 482 | C2×C4×D3 | — | 3 | 2 | no | — |
| 483 | C2×C4×D3 | — | 6 | 1 | no | — |
| 484 | C2×C4×D3 | — | 6 | 4 | no | — |
| 485 | C2×C4×D3 | — | 6 | 4 | no | — |
| 486 | C2×C4×D3 | — | 6 | 4 | no | — |
| 487 | C2×C4×D3 | — | 6 | 4 | no | — |
| 488 | C2×C4×D3 | — | 12 | 2 | no | — |
| 489 | C2×C4×D3 | C22×D3 | 1 | 2 | yes | — |
| 490 | C2×Dic6 | — | 3 | 2 | no | — |
| 491 | C2×Dic6 | — | 3 | 4 | no | — |
| 492 | C2×Dic6 | — | 6 | 4 | no | — |
| 493 | C2×Dic6 | — | 6 | 4 | no | — |
| 494 | C3×Q16 | — | 2 | 1 | no | — |
| 495 | C3×Q16 | — | 3 | 4 | no | — |
| 496 | C3×Q16 | — | 3 | 2 | no | — |
| 497 | C3×Q16 | C22×D3 | 1 | 2 | yes | — |
| 498 | C3×SD16 | — | 2 | 2 | no | — |
| 499 | C3×SD16 | — | 3 | 4 | no | — |
| 500 | C3×SD16 | — | 3 | 4 | no | — |
| 501 | C3×SD16 | — | 3 | 4 | no | — |
| 502 | C3×SD16 | C22×D3 | 1 | 4 | yes | — |
| 503 | C3×D8 | — | 2 | 1 | no | — |
| 504 | C3×D8 | — | 3 | 4 | no | — |
| 505 | C3×D8 | — | 3 | 2 | no | — |
| 506 | C3×D8 | C22×D3 | 1 | 2 | yes | — |
| 507 | C3×M16 | — | 3 | 4 | no | — |
| 508 | C3×M16 | — | 3 | 4 | no | — |
| 509 | C2×C3×C8 | — | 2 | 1 | no | — |
| 510 | C2×C3×C8 | — | 3 | 2 | no | — |
| 511 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 512 | #216 | — | 3 | 4 | no | — |
| 513 | #216 | — | 3 | 4 | no | — |
| 514 | #216 | — | 3 | 4 | no | — |
| 515 | #216 | — | 6 | 2 | no | — |
| 516 | #216 | C22×D3 | 1 | 4 | yes | — |
| 517 | #215 | — | 3 | 4 | no | — |
| 518 | #215 | — | 3 | 4 | no | — |
| 519 | #215 | — | 3 | 4 | no | — |
| 520 | #215 | — | 6 | 2 | no | — |
| 521 | #215 | C22×D3 | 1 | 4 | yes | — |
| 522 | #214 | — | 3 | 4 | no | — |
| 523 | #214 | — | 3 | 4 | no | — |
| 524 | #214 | — | 3 | 4 | no | — |
| 525 | #214 | — | 6 | 2 | no | — |
| 526 | #214 | C22×D3 | 1 | 4 | yes | — |
| 527 | #213 | — | 3 | 4 | no | — |
| 528 | #213 | — | 3 | 4 | no | — |
| 529 | #213 | — | 3 | 4 | no | — |
| 530 | #213 | — | 6 | 2 | no | — |
| 531 | #213 | C22×D3 | 1 | 4 | yes | — |
| 532 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 533 | C2×C3⋊C8 | — | 3 | 4 | no | — |
| 534 | C2×C3⋊C8 | — | 3 | 4 | no | — |
| 535 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 536 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 537 | Dic12 | — | 3 | 4 | no | — |
| 538 | Dic12 | — | 3 | 2 | no | — |
| 539 | Dic12 | — | 6 | 1 | no | — |
| 540 | Dic12 | C22×D3 | 1 | 2 | yes | — |
| 541 | D24 | — | 3 | 4 | no | — |
| 542 | D24 | — | 3 | 2 | no | — |
| 543 | D24 | — | 6 | 1 | no | — |
| 544 | D24 | C22×D3 | 1 | 2 | yes | — |
| 545 | #204 | — | 3 | 4 | no | — |
| 546 | #204 | — | 3 | 4 | no | — |
| 547 | #204 | — | 3 | 4 | no | — |
| 548 | #204 | — | 6 | 2 | no | — |
| 549 | #204 | C22×D3 | 1 | 4 | yes | — |
| 550 | ΓL(1,𝔽25) | — | 3 | 4 | no | — |
| 551 | ΓL(1,𝔽25) | — | 3 | 4 | no | — |
| 552 | ΓL(1,𝔽25) | C22×D3 | 1 | 4 | yes | — |
| 553 | ΓL(1,𝔽25) | C22×D3 | 1 | 4 | yes | — |
| 554 | D3×C8 | — | 3 | 4 | no | — |
| 555 | D3×C8 | — | 3 | 4 | no | — |
| 556 | D3×C8 | — | 3 | 2 | no | — |
| 557 | D3×C8 | — | 3 | 2 | no | — |
| 558 | D3×C8 | — | 3 | 2 | no | — |
| 559 | D3×C8 | — | 3 | 2 | no | — |
| 560 | D3×C8 | — | 6 | 1 | no | — |
| 561 | D3×C8 | — | 6 | 1 | no | — |
| 562 | D3×C8 | — | 6 | 1 | no | — |
| 563 | D3×C8 | — | 6 | 1 | no | — |
| 564 | C22×C32 | — | 2 | 2 | no | — |
| 565 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 566 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 567 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 568 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 569 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 570 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 571 | C2×C3×D3 | — | 2 | 4 | no | — |
| 572 | C2×C3×D3 | — | 4 | 2 | no | — |
| 573 | C2×C3×D3 | — | 8 | 4 | no | — |
| 574 | C2×C3×D3 | C22×D4 | 1 | 4 | yes | — |
| 575 | D32 | — | 8 | 4 | no | — |
| 576 | D32 | — | 8 | 2 | no | — |
| 577 | C32×C4 | — | 2 | 2 | no | — |
| 578 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 579 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 580 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 581 | C3⋊Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 582 | C3⋊Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 583 | C3×Dic3 | — | 2 | 4 | no | — |
| 584 | C3×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 585 | 2−1+4 | — | 9 | 2 | no | — |
| 586 | 2−1+4 | — | 9 | 4 | no | — |
| 587 | 2−1+4 | — | 9 | 2 | no | — |
| 588 | 2−1+4 | — | 18 | 2 | no | — |
| 589 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 590 | H(5,𝔽2) | — | 9 | 4 | no | — |
| 591 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 592 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 593 | H(5,𝔽2) | — | 18 | 4 | no | — |
| 594 | C2×#41 | — | 3 | 4 | no | — |
| 595 | C2×#41 | — | 9 | 1 | no | — |
| 596 | C2×#41 | — | 9 | 4 | no | — |
| 597 | C2×#41 | — | 9 | 2 | no | — |
| 598 | C2×#41 | — | 9 | 2 | no | — |
| 599 | C2×#41 | — | 18 | 2 | no | — |
| 600 | C2×#41 | — | 18 | 4 | no | — |
| 601 | C2×#41 | — | 18 | 2 | no | — |
| 602 | #137 | — | 3 | 4 | no | — |
| 603 | #137 | — | 3 | 4 | no | — |
| 604 | #137 | — | 9 | 4 | no | — |
| 605 | #137 | — | 9 | 4 | no | — |
| 606 | #137 | — | 9 | 2 | no | — |
| 607 | #137 | — | 9 | 4 | no | — |
| 608 | #137 | — | 9 | 2 | no | — |
| 609 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 610 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 611 | AGL(1,ℤ/8) | — | 9 | 4 | no | — |
| 612 | AGL(1,ℤ/8) | — | 9 | 4 | no | — |
| 613 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 614 | AGL(1,ℤ/8) | — | 9 | 4 | no | — |
| 615 | AGL(1,ℤ/8) | — | 9 | 2 | no | — |
| 616 | #135 | — | 3 | 4 | no | — |
| 617 | #135 | — | 3 | 2 | no | — |
| 618 | #135 | — | 9 | 4 | no | — |
| 619 | #135 | — | 9 | 2 | no | — |
| 620 | #135 | — | 9 | 4 | no | — |
| 621 | #135 | — | 9 | 2 | no | — |
| 622 | #135 | — | 9 | 4 | no | — |
| 623 | #135 | — | 9 | 4 | no | — |
| 624 | #135 | — | 9 | 4 | no | — |
| 625 | #135 | — | 9 | 2 | no | — |
| 626 | #135 | — | 9 | 2 | no | — |
| 627 | #135 | — | 9 | 1 | no | — |
| 628 | #135 | — | 9 | 2 | no | — |
| 629 | #135 | — | 9 | 1 | no | — |
| 630 | #135 | — | 9 | 1 | no | — |
| 631 | #135 | D32 | 1 | 1 | yes | characteristic, complemented |
| 632 | C2×Q16 | — | 9 | 1 | no | — |
| 633 | C2×Q16 | — | 9 | 4 | no | — |
| 634 | C2×Q16 | — | 9 | 1 | no | — |
| 635 | C2×SD16 | — | 9 | 2 | no | — |
| 636 | C2×SD16 | — | 9 | 4 | no | — |
| 637 | C2×SD16 | — | 9 | 4 | no | — |
| 638 | C2×SD16 | — | 9 | 2 | no | — |
| 639 | C2×D8 | — | 9 | 1 | no | — |
| 640 | C2×D8 | — | 9 | 4 | no | — |
| 641 | C2×D8 | — | 9 | 1 | no | — |
| 642 | #131 | — | 9 | 2 | no | — |
| 643 | #131 | — | 9 | 2 | no | — |
| 644 | #131 | — | 9 | 2 | no | — |
| 645 | #131 | — | 9 | 2 | no | — |
| 646 | C2×M16 | — | 3 | 2 | no | — |
| 647 | C2×M16 | — | 9 | 1 | no | — |
| 648 | C22×C8 | — | 9 | 2 | no | — |
| 649 | C22×C8 | — | 9 | 1 | no | — |
| 650 | C23×C3 | — | 3 | 2 | no | — |
| 651 | C23×C3 | — | 6 | 4 | no | — |
| 652 | C22×D3 | — | 2 | 4 | no | — |
| 653 | C22×D3 | — | 3 | 2 | no | — |
| 654 | C22×D3 | — | 6 | 1 | no | — |
| 655 | C22×D3 | — | 6 | 4 | no | — |
| 656 | C22×D3 | — | 6 | 4 | no | — |
| 657 | C22×D3 | — | 6 | 4 | no | — |
| 658 | C22×D3 | — | 6 | 4 | no | — |
| 659 | C22×D3 | — | 12 | 2 | no | — |
| 660 | C22×D3 | D3×D4 | 1 | 2 | yes | — |
| 661 | C3×Q8 | — | 2 | 2 | no | — |
| 662 | C3×Q8 | — | 3 | 4 | no | — |
| 663 | C3×Q8 | — | 6 | 4 | no | — |
| 664 | C3×Q8 | C23×D3 | 1 | 4 | yes | — |
| 665 | C3×D4 | — | 2 | 4 | no | — |
| 666 | C3×D4 | — | 2 | 2 | no | — |
| 667 | C3×D4 | — | 3 | 4 | no | — |
| 668 | C3×D4 | — | 4 | 2 | no | — |
| 669 | C3×D4 | — | 6 | 4 | no | — |
| 670 | C3×D4 | — | 6 | 4 | no | — |
| 671 | C3×D4 | — | 6 | 4 | no | — |
| 672 | C3×D4 | — | 6 | 4 | no | — |
| 673 | C3×D4 | C23×D3 | 1 | 4 | yes | — |
| 674 | C2×C3×C4 | — | 2 | 4 | no | — |
| 675 | C2×C3×C4 | — | 2 | 1 | no | — |
| 676 | C2×C3×C4 | — | 3 | 2 | no | — |
| 677 | C2×C3×C4 | — | 3 | 4 | no | — |
| 678 | C2×C3×C4 | — | 3 | 4 | no | — |
| 679 | C2×C3×C4 | — | 4 | 2 | no | — |
| 680 | C2×C3×C4 | — | 6 | 4 | no | — |
| 681 | C2×C3×C4 | — | 6 | 4 | no | — |
| 682 | C2×C3×C4 | — | 6 | 4 | no | — |
| 683 | C2×C3×C4 | — | 6 | 4 | no | — |
| 684 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 685 | #67 | — | 2 | 4 | no | — |
| 686 | #67 | — | 2 | 4 | no | — |
| 687 | #67 | — | 2 | 4 | no | — |
| 688 | #67 | — | 3 | 4 | no | — |
| 689 | #67 | — | 3 | 4 | no | — |
| 690 | #67 | — | 3 | 4 | no | — |
| 691 | #67 | — | 3 | 4 | no | — |
| 692 | #67 | — | 6 | 4 | no | — |
| 693 | #67 | — | 6 | 4 | no | — |
| 694 | #67 | — | 6 | 4 | no | — |
| 695 | #67 | — | 6 | 4 | no | — |
| 696 | #67 | — | 6 | 4 | no | — |
| 697 | #67 | — | 6 | 4 | no | — |
| 698 | #67 | — | 6 | 4 | no | — |
| 699 | #67 | — | 6 | 4 | no | — |
| 700 | #67 | — | 6 | 4 | no | — |
| 701 | #67 | — | 12 | 2 | no | — |
| 702 | #67 | — | 12 | 2 | no | — |
| 703 | #67 | — | 12 | 2 | no | — |
| 704 | C2×Dic3 | — | 2 | 4 | no | — |
| 705 | C2×Dic3 | — | 3 | 2 | no | — |
| 706 | C2×Dic3 | — | 6 | 1 | no | — |
| 707 | C2×Dic3 | — | 6 | 4 | no | — |
| 708 | C2×Dic3 | — | 6 | 4 | no | — |
| 709 | C2×Dic3 | — | 6 | 4 | no | — |
| 710 | C2×Dic3 | — | 6 | 4 | no | — |
| 711 | C2×Dic3 | — | 12 | 2 | no | — |
| 712 | C2×Dic3 | D3×D4 | 1 | 2 | yes | — |
| 713 | D12 | — | 2 | 4 | no | — |
| 714 | D12 | — | 3 | 4 | no | — |
| 715 | D12 | — | 3 | 4 | no | — |
| 716 | D12 | — | 3 | 4 | no | — |
| 717 | D12 | — | 6 | 2 | no | — |
| 718 | D12 | — | 6 | 4 | no | — |
| 719 | D12 | — | 6 | 4 | no | — |
| 720 | D12 | — | 6 | 4 | no | — |
| 721 | D12 | — | 6 | 4 | no | — |
| 722 | D12 | — | 12 | 2 | no | — |
| 723 | D12 | C23×D3 | 1 | 4 | yes | — |
| 724 | C4×D3 | — | 2 | 4 | no | — |
| 725 | C4×D3 | — | 2 | 4 | no | — |
| 726 | C4×D3 | — | 2 | 4 | no | — |
| 727 | C4×D3 | — | 3 | 2 | no | — |
| 728 | C4×D3 | — | 3 | 2 | no | — |
| 729 | C4×D3 | — | 3 | 2 | no | — |
| 730 | C4×D3 | — | 3 | 2 | no | — |
| 731 | C4×D3 | — | 6 | 1 | no | — |
| 732 | C4×D3 | — | 6 | 1 | no | — |
| 733 | C4×D3 | — | 6 | 1 | no | — |
| 734 | C4×D3 | — | 6 | 1 | no | — |
| 735 | C4×D3 | — | 6 | 4 | no | — |
| 736 | C4×D3 | — | 6 | 4 | no | — |
| 737 | C4×D3 | — | 6 | 4 | no | — |
| 738 | C4×D3 | — | 6 | 4 | no | — |
| 739 | C4×D3 | — | 6 | 4 | no | — |
| 740 | C4×D3 | — | 6 | 4 | no | — |
| 741 | C4×D3 | — | 6 | 4 | no | — |
| 742 | C4×D3 | — | 6 | 4 | no | — |
| 743 | C4×D3 | — | 6 | 4 | no | — |
| 744 | C4×D3 | — | 12 | 2 | no | — |
| 745 | C4×D3 | — | 12 | 2 | no | — |
| 746 | C4×D3 | — | 12 | 2 | no | — |
| 747 | C4×D3 | D3×D4 | 1 | 4 | yes | — |
| 748 | C4×D3 | C23×D3 | 1 | 4 | yes | — |
| 749 | Dic6 | — | 2 | 4 | no | — |
| 750 | Dic6 | — | 3 | 4 | no | — |
| 751 | Dic6 | — | 3 | 4 | no | — |
| 752 | Dic6 | — | 3 | 4 | no | — |
| 753 | Dic6 | — | 6 | 2 | no | — |
| 754 | Dic6 | — | 6 | 4 | no | — |
| 755 | Dic6 | — | 6 | 4 | no | — |
| 756 | Dic6 | — | 6 | 4 | no | — |
| 757 | Dic6 | — | 6 | 4 | no | — |
| 758 | Dic6 | — | 12 | 2 | no | — |
| 759 | Dic6 | C23×D3 | 1 | 4 | yes | — |
| 760 | C3×C8 | — | 2 | 1 | no | — |
| 761 | C3×C8 | — | 2 | 1 | no | — |
| 762 | C3×C8 | — | 3 | 4 | no | — |
| 763 | C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 764 | C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 765 | C3⋊C8 | — | 3 | 2 | no | — |
| 766 | C3⋊C8 | — | 3 | 2 | no | — |
| 767 | C3⋊C8 | — | 6 | 1 | no | — |
| 768 | C3⋊C8 | — | 6 | 1 | no | — |
| 769 | C3⋊C8 | C23×D3 | 1 | 4 | yes | — |
| 770 | C2×C32 | — | 2 | 1 | no | — |
| 771 | C2×C32 | — | 4 | 2 | no | — |
| 772 | C2×C32 | C23×D4 | 1 | 1 | yes | characteristic |
| 773 | C3⋊D3 | — | 2 | 1 | no | — |
| 774 | C3⋊D3 | — | 2 | 1 | no | — |
| 775 | C3⋊D3 | — | 4 | 2 | no | — |
| 776 | C3×D3 | — | 2 | 4 | no | — |
| 777 | C3×D3 | — | 4 | 4 | no | — |
| 778 | #41 | — | 3 | 4 | no | — |
| 779 | #41 | — | 3 | 4 | no | — |
| 780 | #41 | — | 3 | 4 | no | — |
| 781 | #41 | — | 6 | 4 | no | — |
| 782 | #41 | — | 6 | 4 | no | — |
| 783 | #41 | — | 9 | 2 | no | — |
| 784 | #41 | — | 9 | 2 | no | — |
| 785 | #41 | — | 9 | 2 | no | — |
| 786 | #41 | — | 9 | 2 | no | — |
| 787 | #41 | — | 9 | 4 | no | — |
| 788 | #41 | — | 9 | 4 | no | — |
| 789 | #41 | — | 9 | 4 | no | — |
| 790 | #41 | — | 9 | 2 | no | — |
| 791 | #41 | — | 9 | 2 | no | — |
| 792 | #41 | — | 9 | 2 | no | — |
| 793 | #41 | — | 18 | 2 | no | — |
| 794 | #41 | — | 18 | 4 | no | — |
| 795 | #41 | — | 18 | 4 | no | — |
| 796 | #41 | — | 18 | 2 | no | — |
| 797 | #41 | — | 18 | 4 | no | — |
| 798 | #41 | — | 18 | 2 | no | — |
| 799 | #41 | — | 18 | 2 | no | — |
| 800 | #41 | — | 18 | 4 | no | — |
| 801 | #41 | — | 18 | 4 | no | — |
| 802 | #41 | — | 18 | 4 | no | — |
| 803 | #41 | — | 18 | 4 | no | — |
| 804 | #41 | — | 18 | 2 | no | — |
| 805 | #41 | — | 18 | 2 | no | — |
| 806 | #41 | — | 18 | 2 | no | — |
| 807 | #41 | — | 18 | 2 | no | — |
| 808 | #41 | — | 18 | 4 | no | — |
| 809 | #41 | C2×D32 | 1 | 2 | yes | — |
| 810 | C2×Q8 | — | 3 | 4 | no | — |
| 811 | C2×Q8 | — | 9 | 1 | no | — |
| 812 | C2×Q8 | — | 9 | 4 | no | — |
| 813 | C2×Q8 | — | 9 | 2 | no | — |
| 814 | C2×Q8 | — | 9 | 2 | no | — |
| 815 | C2×Q8 | — | 18 | 2 | no | — |
| 816 | C2×Q8 | — | 18 | 4 | no | — |
| 817 | C2×Q8 | — | 18 | 2 | no | — |
| 818 | C2×D4 | — | 3 | 4 | no | — |
| 819 | C2×D4 | — | 6 | 4 | no | — |
| 820 | C2×D4 | — | 9 | 4 | no | — |
| 821 | C2×D4 | — | 9 | 2 | no | — |
| 822 | C2×D4 | — | 9 | 2 | no | — |
| 823 | C2×D4 | — | 9 | 1 | no | — |
| 824 | C2×D4 | — | 9 | 2 | no | — |
| 825 | C2×D4 | — | 18 | 4 | no | — |
| 826 | C2×D4 | — | 18 | 4 | no | — |
| 827 | C2×D4 | — | 18 | 2 | no | — |
| 828 | C2×D4 | — | 18 | 2 | no | — |
| 829 | C2×D4 | — | 18 | 4 | no | — |
| 830 | C2×D4 | — | 18 | 2 | no | — |
| 831 | C2×D4 | — | 18 | 4 | no | — |
| 832 | C2×D4 | — | 18 | 4 | no | — |
| 833 | C2×D4 | — | 18 | 4 | no | — |
| 834 | C2×D4 | — | 18 | 2 | no | — |
| 835 | C22×C4 | — | 3 | 2 | no | — |
| 836 | C22×C4 | — | 6 | 4 | no | — |
| 837 | C22×C4 | — | 9 | 1 | no | — |
| 838 | C22×C4 | — | 18 | 2 | no | — |
| 839 | C22×C4 | — | 18 | 4 | no | — |
| 840 | C22×C4 | — | 18 | 2 | no | — |
| 841 | Q16 | — | 3 | 4 | no | — |
| 842 | Q16 | — | 3 | 2 | no | — |
| 843 | Q16 | — | 9 | 4 | no | — |
| 844 | Q16 | — | 9 | 2 | no | — |
| 845 | Q16 | — | 9 | 2 | no | — |
| 846 | Q16 | — | 9 | 1 | no | — |
| 847 | Q16 | C2×D32 | 1 | 1 | yes | characteristic |
| 848 | SD16 | — | 3 | 4 | no | — |
| 849 | SD16 | — | 3 | 4 | no | — |
| 850 | SD16 | — | 3 | 4 | no | — |
| 851 | SD16 | — | 9 | 4 | no | — |
| 852 | SD16 | — | 9 | 4 | no | — |
| 853 | SD16 | — | 9 | 4 | no | — |
| 854 | SD16 | — | 9 | 2 | no | — |
| 855 | SD16 | — | 9 | 2 | no | — |
| 856 | SD16 | — | 9 | 2 | no | — |
| 857 | SD16 | C2×D32 | 1 | 2 | yes | — |
| 858 | D8 | — | 3 | 4 | no | — |
| 859 | D8 | — | 3 | 2 | no | — |
| 860 | D8 | — | 9 | 4 | no | — |
| 861 | D8 | — | 9 | 2 | no | — |
| 862 | D8 | — | 9 | 2 | no | — |
| 863 | D8 | — | 9 | 1 | no | — |
| 864 | D8 | C2×D32 | 1 | 1 | yes | characteristic |
| 865 | M16 | — | 3 | 4 | no | — |
| 866 | M16 | — | 3 | 4 | no | — |
| 867 | M16 | — | 9 | 2 | no | — |
| 868 | M16 | — | 9 | 2 | no | — |
| 869 | C2×C8 | — | 3 | 2 | no | — |
| 870 | C2×C8 | — | 9 | 4 | no | — |
| 871 | C2×C8 | — | 9 | 4 | no | — |
| 872 | C2×C8 | — | 9 | 1 | no | — |
| 873 | C2×C8 | — | 9 | 1 | no | — |
| 874 | C2×C8 | — | 9 | 1 | no | — |
| 875 | C2×C8 | — | 9 | 1 | no | — |
| 876 | C2×C8 | — | 9 | 1 | no | — |
| 877 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 878 | C22×C3 | — | 2 | 4 | no | — |
| 879 | C22×C3 | — | 2 | 1 | no | — |
| 880 | C22×C3 | — | 3 | 4 | no | — |
| 881 | C22×C3 | — | 4 | 2 | no | — |
| 882 | C22×C3 | — | 6 | 4 | no | — |
| 883 | C22×C3 | — | 12 | 2 | no | — |
| 884 | C22×C3 | — | 24 | 4 | no | — |
| 885 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 886 | C2×D3 | — | 2 | 4 | no | — |
| 887 | C2×D3 | — | 3 | 2 | no | — |
| 888 | C2×D3 | — | 3 | 2 | no | — |
| 889 | C2×D3 | — | 4 | 2 | no | — |
| 890 | C2×D3 | — | 6 | 1 | no | — |
| 891 | C2×D3 | — | 6 | 1 | no | — |
| 892 | C2×D3 | — | 6 | 4 | no | — |
| 893 | C2×D3 | — | 8 | 4 | no | — |
| 894 | C2×D3 | — | 12 | 2 | no | — |
| 895 | C2×D3 | — | 12 | 2 | no | — |
| 896 | C2×D3 | — | 12 | 2 | no | — |
| 897 | C2×D3 | — | 24 | 4 | no | — |
| 898 | C2×D3 | — | 24 | 4 | no | — |
| 899 | C2×D3 | — | 24 | 4 | no | — |
| 900 | C2×D3 | — | 24 | 4 | no | — |
| 901 | C2×D3 | — | 24 | 4 | no | — |
| 902 | C2×D3 | C2×D3×D4 | 1 | 4 | yes | — |
| 903 | C3×C4 | — | 2 | 4 | no | — |
| 904 | C3×C4 | — | 2 | 1 | no | — |
| 905 | C3×C4 | — | 2 | 1 | no | — |
| 906 | C3×C4 | — | 3 | 4 | no | — |
| 907 | C3×C4 | — | 4 | 2 | no | — |
| 908 | C3×C4 | — | 6 | 4 | no | — |
| 909 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 910 | C3×C4 | C24×D3 | 1 | 2 | yes | — |
| 911 | Dic3 | — | 2 | 4 | no | — |
| 912 | Dic3 | — | 3 | 2 | no | — |
| 913 | Dic3 | — | 3 | 2 | no | — |
| 914 | Dic3 | — | 6 | 1 | no | — |
| 915 | Dic3 | — | 6 | 1 | no | — |
| 916 | Dic3 | — | 6 | 4 | no | — |
| 917 | Dic3 | — | 12 | 2 | no | — |
| 918 | Dic3 | C2×D3×D4 | 1 | 4 | yes | — |
| 919 | C32 | #3584 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 920 | C23 | — | 3 | 2 | no | — |
| 921 | C23 | — | 6 | 4 | no | — |
| 922 | C23 | — | 9 | 1 | no | — |
| 923 | C23 | — | 18 | 2 | no | — |
| 924 | C23 | — | 18 | 4 | no | — |
| 925 | C23 | — | 18 | 2 | no | — |
| 926 | Q8 | — | 3 | 4 | no | — |
| 927 | Q8 | — | 6 | 4 | no | — |
| 928 | Q8 | — | 9 | 2 | no | — |
| 929 | Q8 | — | 9 | 2 | no | — |
| 930 | Q8 | — | 9 | 2 | no | — |
| 931 | Q8 | — | 18 | 2 | no | — |
| 932 | Q8 | — | 18 | 4 | no | — |
| 933 | Q8 | — | 18 | 2 | no | — |
| 934 | Q8 | C22×D32 | 1 | 2 | yes | — |
| 935 | D4 | — | 2 | 2 | no | — |
| 936 | D4 | — | 3 | 4 | no | — |
| 937 | D4 | — | 6 | 4 | no | — |
| 938 | D4 | — | 6 | 4 | no | — |
| 939 | D4 | — | 6 | 4 | no | — |
| 940 | D4 | — | 6 | 4 | no | — |
| 941 | D4 | — | 9 | 4 | no | — |
| 942 | D4 | — | 9 | 4 | no | — |
| 943 | D4 | — | 9 | 2 | no | — |
| 944 | D4 | — | 9 | 2 | no | — |
| 945 | D4 | — | 9 | 2 | no | — |
| 946 | D4 | — | 18 | 2 | no | — |
| 947 | D4 | — | 18 | 4 | no | — |
| 948 | D4 | — | 18 | 4 | no | — |
| 949 | D4 | — | 18 | 4 | no | — |
| 950 | D4 | — | 18 | 2 | no | — |
| 951 | D4 | — | 18 | 2 | no | — |
| 952 | D4 | — | 18 | 2 | no | — |
| 953 | D4 | — | 18 | 4 | no | — |
| 954 | D4 | — | 18 | 2 | no | — |
| 955 | D4 | C22×D32 | 1 | 2 | yes | — |
| 956 | C2×C4 | — | 2 | 2 | no | — |
| 957 | C2×C4 | — | 3 | 2 | no | — |
| 958 | C2×C4 | — | 3 | 4 | no | — |
| 959 | C2×C4 | — | 3 | 4 | no | — |
| 960 | C2×C4 | — | 6 | 4 | no | — |
| 961 | C2×C4 | — | 6 | 4 | no | — |
| 962 | C2×C4 | — | 6 | 4 | no | — |
| 963 | C2×C4 | — | 6 | 4 | no | — |
| 964 | C2×C4 | — | 9 | 1 | no | — |
| 965 | C2×C4 | — | 9 | 1 | no | — |
| 966 | C2×C4 | — | 9 | 1 | no | — |
| 967 | C2×C4 | — | 9 | 1 | no | — |
| 968 | C2×C4 | — | 9 | 1 | no | — |
| 969 | C2×C4 | — | 18 | 2 | no | — |
| 970 | C2×C4 | — | 18 | 2 | no | — |
| 971 | C2×C4 | — | 18 | 4 | no | — |
| 972 | C2×C4 | — | 18 | 4 | no | — |
| 973 | C2×C4 | — | 18 | 2 | no | — |
| 974 | C2×C4 | — | 18 | 4 | no | — |
| 975 | C2×C4 | — | 18 | 4 | no | — |
| 976 | C2×C4 | — | 18 | 2 | no | — |
| 977 | C2×C4 | — | 18 | 2 | no | — |
| 978 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 979 | C8 | — | 3 | 4 | no | — |
| 980 | C8 | — | 9 | 1 | no | — |
| 981 | C8 | — | 9 | 1 | no | — |
| 982 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 983 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 984 | C2×C3 | — | 2 | 2 | no | — |
| 985 | C2×C3 | — | 2 | 1 | no | — |
| 986 | C2×C3 | — | 4 | 1 | no | — |
| 987 | C2×C3 | — | 4 | 4 | no | — |
| 988 | C2×C3 | — | 6 | 4 | no | — |
| 989 | C2×C3 | — | 8 | 2 | no | — |
| 990 | C2×C3 | — | 12 | 4 | no | — |
| 991 | C2×C3 | C22×D3×D4 | 1 | 2 | yes | — |
| 992 | D3 | — | 2 | 4 | no | — |
| 993 | D3 | — | 4 | 4 | no | — |
| 994 | D3 | — | 6 | 2 | no | — |
| 995 | D3 | — | 6 | 2 | no | — |
| 996 | D3 | — | 6 | 2 | no | — |
| 997 | D3 | — | 12 | 1 | no | — |
| 998 | D3 | — | 12 | 4 | no | — |
| 999 | D3 | — | 24 | 2 | no | — |
| 1000 | C22 | — | 2 | 2 | no | — |
| 1001 | C22 | — | 3 | 4 | no | — |
| 1002 | C22 | — | 6 | 4 | no | — |
| 1003 | C22 | — | 9 | 1 | no | — |
| 1004 | C22 | — | 9 | 1 | no | — |
| 1005 | C22 | — | 12 | 2 | no | — |
| 1006 | C22 | — | 18 | 2 | no | — |
| 1007 | C22 | — | 24 | 4 | no | — |
| 1008 | C22 | — | 36 | 1 | no | — |
| 1009 | C22 | — | 72 | 2 | no | — |
| 1010 | C22 | — | 72 | 4 | no | — |
| 1011 | C22 | — | 72 | 2 | no | — |
| 1012 | C22 | D32×D4 | 1 | 1 | yes | characteristic |
| 1013 | C4 | — | 2 | 2 | no | — |
| 1014 | C4 | — | 3 | 4 | no | — |
| 1015 | C4 | — | 6 | 4 | no | — |
| 1016 | C4 | — | 9 | 1 | no | — |
| 1017 | C4 | — | 9 | 1 | no | — |
| 1018 | C4 | — | 18 | 2 | no | — |
| 1019 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 1020 | C4 | C23×D32 | 1 | 1 | yes | characteristic |
| 1021 | C3 | — | 2 | 1 | no | — |
| 1022 | C3 | #87199 | 1 | 2 | yes | complemented |
| 1023 | C2 | — | 2 | 1 | no | — |
| 1024 | C2 | — | 4 | 2 | no | — |
| 1025 | C2 | — | 6 | 4 | no | — |
| 1026 | C2 | — | 12 | 4 | no | — |
| 1027 | C2 | — | 18 | 1 | no | — |
| 1028 | C2 | — | 18 | 1 | no | — |
| 1029 | C2 | — | 36 | 2 | no | — |
| 1030 | C2 | C2×D32×D4 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C4 | D32×D4 |
| commutator, cosocle | C32×C4 | C25 |
| Frattini | C4 | C23×D32 |
| Fitting | C32×#135 | C22 |
| socle | C2×C32 | C23×D4 |
| hypercenter | #135 | D32 |
| hypocenter | C32 | #3584 |
| LCS | G ▷ C32×C4 ▷ C2×C32 ▷ C32 | |
| UCS | C1 ◁ C4 ◁ C2×C4 ◁ #135 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596695 | C2 | semidirect |
| 2. C3⋊D3×#135 | C2 | semidirect |
| 3. C3×#5768 | C2 | semidirect |
| 4. #10595460 | C2 | semidirect |
| 5. D3×#950 | C2 | semidirect |
| 6. #10594769 | C2 | semidirect |
| 7. #10594767 | C2 | semidirect |
| 8. #10594754 | C2 | semidirect |
| 9. #10594752 | C2 | semidirect |
| 10. #10594750 | C2 | semidirect |
| 11. #10594735 | C2 | semidirect |
| 12. #10594733 | C2 | semidirect |
| 13. C2×#63805 | C2 | semidirect |
| 14. #10594684 | C2 | semidirect |
| 15. #10594676 | C2 | semidirect |
| 17. #41×C3⋊D3 | C22 | semidirect |
| 18. C3×D3×#41 | C22 | semidirect |
| 19. #64320 | C22 | semidirect |
| 20. #64316 | C22 | semidirect |
| 21. #64315 | C22 | semidirect |
| 23. #64314 | C22 | semidirect |
| 25. #64313 | C22 | semidirect |
| 27. #64309 | C22 | semidirect |
| 29. #64306 | C22 | semidirect |
| 31. D3×#235 | C22 | semidirect |
| 34. C32×#135 | C22 | semidirect |
| 35. #64159 | C22 | semidirect |
| 36. #64128 | C22 | semidirect |
| 37. Q16×C3⋊D3 | C22 | semidirect |
| 38. #64125 | C22 | semidirect |
| 39. SD16×C3⋊D3 | C22 | semidirect |
| 40. #64121 | C22 | semidirect |
| 41. D8×C3⋊D3 | C22 | semidirect |
| 42. #64113 | C22 | semidirect |
| 43. C2×C8×C3⋊D3 | C22 | semidirect |
| 44. C3×#950 | C22 | semidirect |
| 45. C3×#918 | C22 | semidirect |
| 46. C3×#915 | C22 | semidirect |
| 47. C3×#914 | C22 | semidirect |
| 48. C3×#911 | C22 | semidirect |
| 49. C3×#904 | C22 | semidirect |
| 50. C2×C3×ΓL(1,𝔽25) | C22 | semidirect |
| 51. #63951 | C22 | semidirect |
| 52. #63949 | C22 | semidirect |
| 53. #63947 | C22 | semidirect |
| 54. #63945 | C22 | semidirect |
| 55. D3×#216 | C22 | semidirect |
| 56. #63941 | C22 | semidirect |
| 57. D3×#215 | C22 | semidirect |
| 58. #63937 | C22 | semidirect |
| 59. #63935 | C22 | semidirect |
| 60. #63933 | C22 | semidirect |
| 61. #63931 | C22 | semidirect |
| 62. D3×#214 | C22 | semidirect |
| 63. #63927 | C22 | semidirect |
| 64. D3×#213 | C22 | semidirect |
| 65. #63829 | C22 | semidirect |
| 66. #63822 | C22 | semidirect |
| 67. C2×#3712 | C22 | semidirect |
| 68. C2×D3×C3⋊C8 | C22 | semidirect |
| 69. #63810 | C22 | semidirect |
| 70. #63809 | C22 | semidirect |
| 71. #63805 | C22 | semidirect |
| 72. #63805 | C22 | semidirect |
| 73. #63805 | C22 | semidirect |
| 74. #63805 | C22 | semidirect |
| 75. #63802 | C22 | semidirect |
| 76. #63801 | C22 | semidirect |
| 77. #63800 | C22 | semidirect |
| 78. #63797 | C22 | semidirect |
| 79. #63796 | C22 | semidirect |
| 80. #63795 | C22 | semidirect |
| 81. #63794 | C22 | semidirect |
| 95. #5768 | D3 | semidirect |
| 216. D3×#41 | C2×D3 | semidirect |
| 234. C3×#135 | C2×D3 | semidirect |
| 244. #950 | C2×D3 | semidirect |
| 257. #918 | C2×D3 | semidirect |
| 270. #915 | C2×D3 | semidirect |
| 274. #914 | C2×D3 | semidirect |
| 287. #911 | C2×D3 | semidirect |
| 303. #904 | C2×D3 | semidirect |
| 305. C2×ΓL(1,𝔽25) | C2×D3 | semidirect |
| 631. #135 | D32 | semidirect |
| 919. C32 | #3584 | semidirect |
| 1022. C3 | #87199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596695 | 2 |
| C3⋊D3×#135 | 2 |
| C3×#5768 | 2 |
| #10595460 | 2 |
| D3×#950 | 2 |
| #10594769 | 2 |
| #10594767 | 2 |
| #10594754 | 2 |
| #10594752 | 2 |
| #10594750 | 2 |
| #10594735 | 2 |
| #10594733 | 2 |
| C2×#63805 | 2 |
| #10594684 | 2 |
| #10594676 | 2 |
| #87199 | 3 |