Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1346 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 1346 conjugacy classes of subgroups — too many to draw. Only its 117 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 | #10596692 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10596513 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10596501 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10595459 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10593840 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10593480 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10593478 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10593459 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10593457 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C2×#63729 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #10593308 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #41×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×#1009 | — | 2 | 1 | no | — |
| 14 | #64320 | — | 2 | 1 | no | — |
| 15 | #64319 | C22 | 1 | 2 | yes | — |
| 16 | #64313 | — | 2 | 1 | no | — |
| 17 | #64313 | — | 2 | 2 | no | — |
| 18 | D32×D4 | — | 2 | 2 | no | — |
| 19 | D32×D4 | C22 | 1 | 2 | yes | — |
| 20 | #64307 | — | 2 | 1 | no | — |
| 21 | #64307 | — | 2 | 2 | no | — |
| 22 | #64306 | — | 2 | 1 | no | — |
| 23 | #64306 | C22 | 1 | 1 | yes | characteristic |
| 24 | #64306 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×#3802 | — | 2 | 1 | no | — |
| 26 | C2×#3802 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C4⋊#157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #64283 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #64242 | — | 2 | 2 | no | — |
| 30 | #64236 | — | 2 | 2 | no | — |
| 31 | #64230 | — | 2 | 1 | no | — |
| 32 | #64230 | C22 | 1 | 2 | yes | complemented |
| 33 | #64227 | C22 | 1 | 2 | yes | complemented |
| 34 | #64225 | C22 | 1 | 2 | yes | complemented |
| 35 | #64224 | — | 2 | 2 | no | — |
| 36 | D32⋊Q8 | — | 2 | 1 | no | — |
| 37 | D32⋊Q8 | C22 | 1 | 2 | yes | complemented |
| 38 | C3×#950 | — | 2 | 1 | no | — |
| 39 | #63950 | — | 2 | 1 | no | — |
| 40 | #63944 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #63940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #63936 | — | 2 | 1 | no | — |
| 43 | #63930 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #63926 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #63829 | — | 2 | 1 | no | — |
| 46 | C2×#3710 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #63784 | C22 | 1 | 2 | yes | complemented |
| 48 | #63782 | C22 | 1 | 2 | yes | complemented |
| 49 | #63729 | C22 | 1 | 2 | yes | complemented |
| 50 | #63729 | C22 | 1 | 2 | yes | complemented |
| 51 | D32⋊C8 | C22 | 1 | 2 | yes | complemented |
| 52 | D32⋊C8 | C22 | 1 | 2 | yes | complemented |
| 53 | D3×H(5,𝔽2) | — | 6 | 1 | no | — |
| 54 | D3×#135 | — | 6 | 1 | no | — |
| 55 | C22×D32 | — | 2 | 1 | no | — |
| 56 | C22×D32 | — | 2 | 2 | no | — |
| 57 | C22×#157 | — | 2 | 1 | no | — |
| 58 | C2×GO+(4,𝔽2) | — | 2 | 2 | no | — |
| 59 | C32×#41 | D4 | 1 | 1 | yes | characteristic, complemented |
| 60 | #3832 | D4 | 1 | 1 | yes | characteristic, complemented |
| 61 | Q8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 62 | #3830 | — | 2 | 1 | no | — |
| 63 | #3830 | D4 | 1 | 1 | yes | characteristic, complemented |
| 64 | D4×C3⋊D3 | — | 2 | 1 | no | — |
| 65 | D4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 66 | #3828 | — | 2 | 1 | no | — |
| 67 | #3828 | D4 | 1 | 1 | yes | characteristic, complemented |
| 68 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 69 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 70 | C3×#239 | — | 2 | 2 | no | — |
| 71 | C3×D3×D4 | — | 2 | 4 | no | — |
| 72 | C3×D3×D4 | — | 2 | 2 | no | — |
| 73 | C3×#235 | — | 2 | 2 | no | — |
| 74 | C3×#235 | — | 2 | 1 | no | — |
| 75 | C3×#235 | — | 2 | 1 | no | — |
| 76 | C2×C3×D12 | — | 2 | 2 | no | — |
| 77 | C2×C3×D12 | — | 2 | 1 | no | — |
| 78 | #3811 | — | 2 | 1 | no | — |
| 79 | #3811 | — | 2 | 2 | no | — |
| 80 | #3811 | D4 | 1 | 2 | yes | — |
| 81 | D3×#67 | — | 2 | 4 | no | — |
| 82 | D3×#67 | — | 2 | 4 | no | — |
| 83 | D3×#67 | — | 2 | 4 | no | — |
| 84 | C2×#625 | — | 2 | 2 | no | — |
| 85 | C2×#625 | D4 | 1 | 2 | yes | complemented |
| 86 | #3805 | — | 2 | 2 | no | — |
| 87 | #3805 | — | 2 | 1 | no | — |
| 88 | #3805 | — | 2 | 1 | no | — |
| 89 | #3802 | — | 2 | 2 | no | — |
| 90 | #3802 | — | 2 | 2 | no | — |
| 91 | #3802 | — | 2 | 2 | no | — |
| 92 | #3802 | — | 2 | 1 | no | — |
| 93 | #3802 | — | 2 | 1 | no | — |
| 94 | #3802 | D4 | 1 | 1 | yes | characteristic |
| 95 | #3802 | D4 | 1 | 2 | yes | complemented |
| 96 | #3802 | C23 | 1 | 1 | yes | characteristic |
| 97 | #3802 | C23 | 1 | 2 | yes | — |
| 98 | D3×D12 | — | 2 | 4 | no | — |
| 99 | D3×D12 | — | 2 | 2 | no | — |
| 100 | C4×D32 | — | 2 | 2 | no | — |
| 101 | C4×D32 | — | 2 | 1 | no | — |
| 102 | C4×D32 | C23 | 1 | 2 | yes | — |
| 103 | #3798 | — | 2 | 2 | no | — |
| 104 | #3798 | — | 2 | 1 | no | — |
| 105 | #3798 | — | 2 | 1 | no | — |
| 106 | #3797 | D4 | 1 | 1 | yes | characteristic |
| 107 | #3797 | C23 | 1 | 1 | yes | characteristic |
| 108 | #3796 | — | 2 | 2 | no | — |
| 109 | #3796 | — | 2 | 1 | no | — |
| 110 | #3796 | — | 2 | 1 | no | — |
| 111 | #3795 | — | 2 | 2 | no | — |
| 112 | #3795 | — | 2 | 4 | no | — |
| 113 | #3792 | — | 2 | 1 | no | — |
| 114 | C4⋊#157 | — | 2 | 1 | no | — |
| 115 | C4⋊#157 | C23 | 1 | 2 | yes | — |
| 116 | #3788 | — | 2 | 1 | no | — |
| 117 | #3787 | C23 | 1 | 2 | yes | — |
| 118 | #3775 | — | 2 | 4 | no | — |
| 119 | #3774 | — | 2 | 4 | no | — |
| 120 | #3773 | — | 2 | 2 | no | — |
| 121 | D32⋊C4 | — | 2 | 2 | no | — |
| 122 | D32⋊C4 | — | 2 | 2 | no | — |
| 123 | C3×#216 | — | 2 | 1 | no | — |
| 124 | C3×#215 | — | 2 | 1 | no | — |
| 125 | C3×#214 | — | 2 | 1 | no | — |
| 126 | C3×#213 | — | 2 | 1 | no | — |
| 127 | C2×C3×C3⋊C8 | — | 2 | 1 | no | — |
| 128 | #3719 | — | 2 | 1 | no | — |
| 129 | #3717 | — | 2 | 1 | no | — |
| 130 | #3716 | — | 2 | 1 | no | — |
| 131 | #3714 | — | 2 | 1 | no | — |
| 132 | #3710 | — | 2 | 1 | no | — |
| 133 | #3710 | C23 | 1 | 1 | yes | characteristic |
| 134 | #3710 | C23 | 1 | 1 | yes | characteristic |
| 135 | #3012 | — | 9 | 1 | no | maximal, Sylow |
| 136 | C3×H(5,𝔽2) | — | 6 | 1 | no | — |
| 137 | #1009 | — | 2 | 1 | no | — |
| 138 | #1009 | — | 6 | 2 | no | — |
| 139 | #1009 | — | 6 | 1 | no | — |
| 140 | #1009 | — | 6 | 2 | no | — |
| 141 | D3×#41 | — | 6 | 1 | no | — |
| 142 | D3×#41 | — | 6 | 2 | no | — |
| 143 | D3×#41 | — | 6 | 1 | no | — |
| 144 | D3×#41 | — | 6 | 1 | no | — |
| 145 | D3×#41 | — | 6 | 1 | no | — |
| 146 | D3×#41 | — | 6 | 2 | no | — |
| 147 | #1004 | — | 6 | 2 | no | — |
| 148 | #1004 | — | 6 | 1 | no | — |
| 149 | #1004 | — | 6 | 4 | no | — |
| 150 | #1004 | — | 6 | 2 | no | — |
| 151 | C2×D3×D4 | — | 6 | 1 | no | — |
| 152 | C2×D3×D4 | — | 6 | 2 | no | — |
| 153 | C2×D3×D4 | — | 6 | 2 | no | — |
| 154 | C2×D3×D4 | — | 6 | 4 | no | — |
| 155 | C3×#135 | — | 6 | 1 | no | — |
| 156 | #950 | — | 2 | 1 | no | — |
| 157 | #950 | — | 6 | 1 | no | — |
| 158 | #919 | — | 6 | 1 | no | — |
| 159 | D3×Q16 | — | 6 | 1 | no | — |
| 160 | #916 | — | 6 | 1 | no | — |
| 161 | #916 | — | 6 | 1 | no | — |
| 162 | D3×SD16 | — | 6 | 1 | no | — |
| 163 | D3×SD16 | — | 6 | 1 | no | — |
| 164 | #912 | — | 6 | 1 | no | — |
| 165 | D3×D8 | — | 6 | 1 | no | — |
| 166 | #904 | — | 6 | 1 | no | — |
| 167 | C2×D3×C8 | — | 6 | 1 | no | — |
| 168 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 169 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 170 | C22×C3×D3 | — | 2 | 4 | no | — |
| 171 | C22×C3×D3 | — | 2 | 2 | no | — |
| 172 | C2×D32 | — | 2 | 2 | no | — |
| 173 | C2×D32 | — | 2 | 4 | no | — |
| 174 | C2×D32 | — | 2 | 2 | no | — |
| 175 | C2×D32 | — | 2 | 1 | no | — |
| 176 | C2×D32 | — | 8 | 2 | no | — |
| 177 | C2×D32 | — | 8 | 2 | no | — |
| 178 | C2×D32 | — | 8 | 1 | no | — |
| 179 | C2×D32 | — | 8 | 1 | no | — |
| 180 | C2×D32 | C2×D4 | 1 | 2 | yes | — |
| 181 | C2×#157 | — | 2 | 2 | no | — |
| 182 | C2×#157 | — | 8 | 1 | no | — |
| 183 | GO+(4,𝔽2) | — | 8 | 2 | no | — |
| 184 | C32×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C32×D4 | — | 2 | 1 | no | — |
| 186 | C32×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C2×C32×C4 | — | 2 | 1 | no | — |
| 188 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | #638 | — | 2 | 1 | no | — |
| 190 | #638 | — | 2 | 1 | no | — |
| 191 | #638 | — | 2 | 1 | no | — |
| 192 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 193 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 195 | C4⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 196 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 197 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 198 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 199 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 203 | #634 | — | 2 | 1 | no | — |
| 204 | #634 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C3×#67 | — | 2 | 4 | no | — |
| 206 | C3×#67 | — | 2 | 2 | no | — |
| 207 | C3×#67 | — | 4 | 1 | no | — |
| 208 | C3×D12 | — | 2 | 4 | no | — |
| 209 | C3×D12 | — | 2 | 1 | no | — |
| 210 | C3×D12 | — | 2 | 2 | no | — |
| 211 | C3×D12 | — | 2 | 2 | no | — |
| 212 | C3×D12 | — | 2 | 1 | no | — |
| 213 | C3×C4×D3 | — | 2 | 4 | no | — |
| 214 | C3×C4×D3 | — | 2 | 2 | no | — |
| 215 | C3×C4×D3 | — | 4 | 1 | no | — |
| 216 | C3×Dic6 | — | 2 | 1 | no | — |
| 217 | C3×Dic6 | — | 2 | 1 | no | — |
| 218 | #627 | — | 2 | 1 | no | — |
| 219 | #627 | — | 2 | 1 | no | — |
| 220 | #626 | — | 2 | 4 | no | — |
| 221 | #626 | — | 2 | 2 | no | — |
| 222 | #626 | — | 4 | 1 | no | — |
| 223 | #625 | — | 2 | 4 | no | — |
| 224 | #625 | — | 2 | 2 | no | — |
| 225 | #625 | — | 2 | 1 | no | — |
| 226 | #625 | — | 2 | 1 | no | — |
| 227 | #625 | C2×D4 | 1 | 4 | yes | — |
| 228 | #624 | — | 2 | 1 | no | — |
| 229 | #624 | C2×D4 | 1 | 2 | yes | — |
| 230 | D3×Dic3 | — | 2 | 4 | no | — |
| 231 | D3×Dic3 | — | 2 | 2 | no | — |
| 232 | D3×Dic3 | — | 4 | 1 | no | — |
| 233 | #622 | — | 2 | 2 | no | — |
| 234 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 235 | C3×C3⋊C8 | — | 2 | 1 | no | — |
| 236 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 237 | C2×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 238 | C2×#135 | — | 9 | 1 | no | — |
| 239 | #537 | — | 9 | 1 | no | — |
| 240 | #452 | — | 9 | 2 | no | — |
| 241 | #450 | — | 9 | 2 | no | — |
| 242 | #449 | — | 9 | 2 | no | — |
| 243 | #447 | — | 9 | 2 | no | — |
| 244 | #417 | — | 9 | 1 | no | — |
| 245 | C2×#102 | — | 9 | 1 | no | — |
| 246 | #408 | — | 9 | 1 | no | — |
| 247 | C23×D3 | — | 6 | 4 | no | — |
| 248 | C23×D3 | — | 6 | 2 | no | — |
| 249 | C3×#41 | — | 2 | 1 | no | — |
| 250 | C3×#41 | — | 2 | 1 | no | — |
| 251 | C3×#41 | — | 6 | 2 | no | — |
| 252 | C3×#41 | — | 6 | 1 | no | — |
| 253 | C3×#41 | — | 6 | 1 | no | — |
| 254 | C3×#41 | — | 6 | 2 | no | — |
| 255 | C2×C3×D4 | — | 6 | 2 | no | — |
| 256 | C2×C3×D4 | — | 6 | 1 | no | — |
| 257 | C2×C3×D4 | — | 6 | 4 | no | — |
| 258 | C2×C3×D4 | — | 6 | 2 | no | — |
| 259 | C2×#67 | — | 6 | 2 | no | — |
| 260 | C2×#67 | — | 6 | 4 | no | — |
| 261 | C2×#67 | — | 6 | 4 | no | — |
| 262 | C2×#67 | — | 6 | 4 | no | — |
| 263 | C2×#67 | — | 6 | 4 | no | — |
| 264 | #239 | — | 2 | 2 | no | — |
| 265 | #239 | — | 6 | 1 | no | — |
| 266 | #239 | — | 6 | 1 | no | — |
| 267 | #239 | — | 6 | 1 | no | — |
| 268 | #239 | — | 6 | 2 | no | — |
| 269 | #239 | — | 6 | 1 | no | — |
| 270 | D3×Q8 | — | 6 | 1 | no | — |
| 271 | D3×Q8 | — | 6 | 1 | no | — |
| 272 | D3×Q8 | — | 6 | 1 | no | — |
| 273 | D3×Q8 | — | 6 | 1 | no | — |
| 274 | #237 | — | 6 | 1 | no | — |
| 275 | #237 | — | 6 | 1 | no | — |
| 276 | #237 | — | 6 | 1 | no | — |
| 277 | #237 | — | 6 | 2 | no | — |
| 278 | #237 | — | 6 | 1 | no | — |
| 279 | #237 | — | 6 | 4 | no | — |
| 280 | #237 | — | 6 | 2 | no | — |
| 281 | #237 | — | 6 | 2 | no | — |
| 282 | #237 | — | 6 | 4 | no | — |
| 283 | #237 | — | 6 | 2 | no | — |
| 284 | #237 | — | 12 | 1 | no | — |
| 285 | #237 | — | 12 | 1 | no | — |
| 286 | D3×D4 | — | 2 | 4 | no | — |
| 287 | D3×D4 | — | 2 | 2 | no | — |
| 288 | D3×D4 | — | 6 | 1 | no | — |
| 289 | D3×D4 | — | 6 | 2 | no | — |
| 290 | D3×D4 | — | 6 | 2 | no | — |
| 291 | D3×D4 | — | 6 | 1 | no | — |
| 292 | D3×D4 | — | 6 | 2 | no | — |
| 293 | D3×D4 | — | 6 | 1 | no | — |
| 294 | D3×D4 | — | 6 | 1 | no | — |
| 295 | D3×D4 | — | 6 | 2 | no | — |
| 296 | D3×D4 | — | 6 | 4 | no | — |
| 297 | D3×D4 | — | 6 | 2 | no | — |
| 298 | D3×D4 | — | 6 | 4 | no | — |
| 299 | D3×D4 | — | 6 | 2 | no | — |
| 300 | D3×D4 | — | 6 | 2 | no | — |
| 301 | D3×D4 | — | 6 | 2 | no | — |
| 302 | D3×D4 | — | 6 | 4 | no | — |
| 303 | D3×D4 | — | 6 | 4 | no | — |
| 304 | D3×D4 | — | 6 | 2 | no | — |
| 305 | D3×D4 | — | 6 | 4 | no | — |
| 306 | D3×D4 | — | 6 | 4 | no | — |
| 307 | D3×D4 | — | 6 | 4 | no | — |
| 308 | D3×D4 | — | 12 | 1 | no | — |
| 309 | D3×D4 | — | 12 | 1 | no | — |
| 310 | #235 | — | 2 | 2 | no | — |
| 311 | #235 | — | 2 | 1 | no | — |
| 312 | #235 | — | 2 | 1 | no | — |
| 313 | #235 | — | 6 | 1 | no | — |
| 314 | #235 | — | 6 | 1 | no | — |
| 315 | #235 | — | 6 | 2 | no | — |
| 316 | #235 | — | 6 | 4 | no | — |
| 317 | #235 | — | 6 | 4 | no | — |
| 318 | #235 | — | 6 | 2 | no | — |
| 319 | #235 | — | 6 | 2 | no | — |
| 320 | #235 | — | 12 | 1 | no | — |
| 321 | #235 | — | 12 | 1 | no | — |
| 322 | C2×D12 | — | 2 | 2 | no | — |
| 323 | C2×D12 | — | 2 | 1 | no | — |
| 324 | C2×D12 | — | 6 | 2 | no | — |
| 325 | C2×D12 | — | 6 | 4 | no | — |
| 326 | C2×C4×D3 | — | 6 | 2 | no | — |
| 327 | C2×C4×D3 | — | 6 | 1 | no | — |
| 328 | C2×C4×D3 | — | 6 | 1 | no | — |
| 329 | C2×C4×D3 | — | 6 | 4 | no | — |
| 330 | C2×C4×D3 | — | 6 | 2 | no | — |
| 331 | C2×C4×D3 | — | 12 | 1 | no | — |
| 332 | C2×C4×D3 | — | 12 | 1 | no | — |
| 333 | C3×Q16 | — | 6 | 1 | no | — |
| 334 | C3×SD16 | — | 6 | 1 | no | — |
| 335 | C3×SD16 | — | 6 | 1 | no | — |
| 336 | C3×D8 | — | 6 | 1 | no | — |
| 337 | C2×C3×C8 | — | 6 | 1 | no | — |
| 338 | #216 | — | 2 | 1 | no | — |
| 339 | #216 | — | 6 | 1 | no | — |
| 340 | #215 | — | 2 | 1 | no | — |
| 341 | #215 | — | 6 | 1 | no | — |
| 342 | #214 | — | 2 | 1 | no | — |
| 343 | #214 | — | 6 | 1 | no | — |
| 344 | #213 | — | 2 | 1 | no | — |
| 345 | #213 | — | 6 | 1 | no | — |
| 346 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 347 | Dic12 | — | 6 | 1 | no | — |
| 348 | D24 | — | 6 | 1 | no | — |
| 349 | #204 | — | 6 | 1 | no | — |
| 350 | #204 | — | 6 | 1 | no | — |
| 351 | D3×C8 | — | 6 | 1 | no | — |
| 352 | D3×C8 | — | 6 | 1 | no | — |
| 353 | D3×C8 | — | 6 | 1 | no | — |
| 354 | D3×C8 | — | 6 | 1 | no | — |
| 355 | C22×C32 | — | 2 | 1 | no | — |
| 356 | C22×C32 | #120 | 1 | 1 | yes | characteristic |
| 357 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 358 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 359 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 360 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 361 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 362 | C2×C3⋊D3 | #120 | 1 | 1 | yes | characteristic |
| 363 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 364 | C2×C3×D3 | — | 2 | 2 | no | — |
| 365 | C2×C3×D3 | — | 2 | 4 | no | — |
| 366 | C2×C3×D3 | — | 4 | 1 | no | — |
| 367 | C2×C3×D3 | — | 8 | 2 | no | — |
| 368 | C2×C3×D3 | — | 8 | 4 | no | — |
| 369 | D32 | — | 2 | 2 | no | — |
| 370 | D32 | — | 2 | 2 | no | — |
| 371 | D32 | — | 4 | 2 | no | — |
| 372 | D32 | — | 4 | 2 | no | — |
| 373 | D32 | — | 4 | 1 | no | — |
| 374 | D32 | — | 4 | 1 | no | — |
| 375 | D32 | — | 8 | 2 | no | — |
| 376 | D32 | — | 8 | 4 | no | — |
| 377 | #157 | — | 4 | 2 | no | — |
| 378 | C32×C4 | — | 2 | 1 | no | — |
| 379 | C32×C4 | #120 | 1 | 1 | yes | characteristic |
| 380 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 381 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 382 | C3⋊Dic3 | #120 | 1 | 1 | yes | characteristic |
| 383 | C3⋊Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 384 | C3×Dic3 | — | 2 | 2 | no | — |
| 385 | C3×Dic3 | — | 4 | 1 | no | — |
| 386 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 387 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 388 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 389 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 390 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 391 | H(5,𝔽2) | — | 18 | 1 | no | — |
| 392 | C2×#41 | — | 9 | 1 | no | — |
| 393 | C2×#41 | — | 9 | 1 | no | — |
| 394 | C2×#41 | — | 9 | 2 | no | — |
| 395 | C2×#41 | — | 9 | 1 | no | — |
| 396 | C2×#41 | — | 18 | 1 | no | — |
| 397 | C22×D4 | — | 9 | 1 | no | — |
| 398 | C22×D4 | — | 9 | 2 | no | — |
| 399 | C22×D4 | — | 18 | 1 | no | — |
| 400 | C22×D4 | — | 18 | 2 | no | — |
| 401 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 402 | AGL(1,ℤ/8) | — | 18 | 2 | no | — |
| 403 | #135 | — | 6 | 1 | no | — |
| 404 | #135 | — | 18 | 1 | no | — |
| 405 | #135 | — | 18 | 1 | no | — |
| 406 | #135 | — | 18 | 1 | no | — |
| 407 | C2×Q16 | — | 9 | 1 | no | — |
| 408 | C2×SD16 | — | 9 | 1 | no | — |
| 409 | C2×SD16 | — | 9 | 1 | no | — |
| 410 | C2×SD16 | — | 9 | 2 | no | — |
| 411 | C2×D8 | — | 9 | 1 | no | — |
| 412 | C2×D8 | — | 9 | 2 | no | — |
| 413 | C2×M16 | — | 9 | 1 | no | — |
| 414 | C22×C8 | — | 9 | 1 | no | — |
| 415 | C22⋊Q8 | — | 9 | 2 | no | — |
| 416 | C22⋊Q8 | — | 18 | 1 | no | — |
| 417 | #121 | — | 9 | 2 | no | — |
| 418 | #121 | — | 18 | 1 | no | — |
| 419 | #121 | — | 18 | 2 | no | — |
| 420 | C2×C4⋊C4 | — | 9 | 1 | no | — |
| 421 | #103 | — | 9 | 2 | no | — |
| 422 | #102 | — | 9 | 2 | no | — |
| 423 | #102 | — | 9 | 2 | no | — |
| 424 | #102 | — | 9 | 2 | no | — |
| 425 | C22⋊C8 | — | 9 | 2 | no | — |
| 426 | C22⋊C8 | — | 9 | 2 | no | — |
| 427 | C23×C3 | — | 6 | 4 | no | — |
| 428 | C23×C3 | — | 6 | 2 | no | — |
| 429 | C22×D3 | — | 2 | 4 | no | — |
| 430 | C22×D3 | — | 2 | 2 | no | — |
| 431 | C22×D3 | — | 6 | 2 | no | — |
| 432 | C22×D3 | — | 6 | 1 | no | — |
| 433 | C22×D3 | — | 6 | 1 | no | — |
| 434 | C22×D3 | — | 6 | 4 | no | — |
| 435 | C22×D3 | — | 6 | 4 | no | — |
| 436 | C22×D3 | — | 6 | 4 | no | — |
| 437 | C22×D3 | — | 6 | 4 | no | — |
| 438 | C22×D3 | — | 6 | 2 | no | — |
| 439 | C22×D3 | — | 12 | 1 | no | — |
| 440 | C22×D3 | — | 12 | 1 | no | — |
| 441 | C22×D3 | — | 24 | 4 | no | — |
| 442 | C22×D3 | — | 24 | 4 | no | — |
| 443 | C22×D3 | — | 24 | 2 | no | — |
| 444 | C22×D3 | — | 24 | 2 | no | — |
| 445 | C3×Q8 | — | 2 | 1 | no | — |
| 446 | C3×Q8 | — | 2 | 1 | no | — |
| 447 | C3×Q8 | — | 6 | 1 | no | — |
| 448 | C3×Q8 | — | 6 | 1 | no | — |
| 449 | C3×D4 | — | 2 | 2 | no | — |
| 450 | C3×D4 | — | 2 | 1 | no | — |
| 451 | C3×D4 | — | 2 | 1 | no | — |
| 452 | C3×D4 | — | 4 | 1 | no | — |
| 453 | C3×D4 | — | 6 | 4 | no | — |
| 454 | C3×D4 | — | 6 | 2 | no | — |
| 455 | C3×D4 | — | 6 | 1 | no | — |
| 456 | C3×D4 | — | 6 | 2 | no | — |
| 457 | C3×D4 | — | 6 | 1 | no | — |
| 458 | C3×D4 | — | 6 | 4 | no | — |
| 459 | C3×D4 | — | 6 | 2 | no | — |
| 460 | C3×D4 | — | 12 | 1 | no | — |
| 461 | C2×C3×C4 | — | 2 | 2 | no | — |
| 462 | C2×C3×C4 | — | 2 | 1 | no | — |
| 463 | C2×C3×C4 | — | 2 | 1 | no | — |
| 464 | C2×C3×C4 | — | 4 | 1 | no | — |
| 465 | C2×C3×C4 | — | 6 | 4 | no | — |
| 466 | C2×C3×C4 | — | 6 | 2 | no | — |
| 467 | C2×C3×C4 | — | 12 | 1 | no | — |
| 468 | #67 | — | 2 | 4 | no | — |
| 469 | #67 | — | 2 | 2 | no | — |
| 470 | #67 | — | 4 | 1 | no | — |
| 471 | #67 | — | 6 | 4 | no | — |
| 472 | #67 | — | 6 | 2 | no | — |
| 473 | #67 | — | 6 | 4 | no | — |
| 474 | #67 | — | 6 | 4 | no | — |
| 475 | #67 | — | 6 | 2 | no | — |
| 476 | #67 | — | 6 | 4 | no | — |
| 477 | #67 | — | 6 | 4 | no | — |
| 478 | #67 | — | 6 | 2 | no | — |
| 479 | #67 | — | 6 | 2 | no | — |
| 480 | #67 | — | 6 | 2 | no | — |
| 481 | #67 | — | 12 | 1 | no | — |
| 482 | #67 | — | 12 | 1 | no | — |
| 483 | #67 | — | 12 | 1 | no | — |
| 484 | #67 | — | 12 | 1 | no | — |
| 485 | #67 | — | 12 | 1 | no | — |
| 486 | C2×Dic3 | — | 6 | 1 | no | — |
| 487 | C2×Dic3 | — | 6 | 1 | no | — |
| 488 | C2×Dic3 | — | 6 | 2 | no | — |
| 489 | C2×Dic3 | — | 6 | 4 | no | — |
| 490 | C2×Dic3 | — | 6 | 2 | no | — |
| 491 | C2×Dic3 | — | 12 | 1 | no | — |
| 492 | C2×Dic3 | — | 12 | 1 | no | — |
| 493 | D12 | — | 2 | 1 | no | — |
| 494 | D12 | — | 2 | 2 | no | — |
| 495 | D12 | — | 2 | 4 | no | — |
| 496 | D12 | — | 2 | 2 | no | — |
| 497 | D12 | — | 2 | 1 | no | — |
| 498 | D12 | — | 6 | 1 | no | — |
| 499 | D12 | — | 6 | 1 | no | — |
| 500 | D12 | — | 6 | 2 | no | — |
| 501 | D12 | — | 6 | 2 | no | — |
| 502 | D12 | — | 6 | 4 | no | — |
| 503 | D12 | — | 12 | 1 | no | — |
| 504 | D12 | — | 12 | 1 | no | — |
| 505 | C4×D3 | — | 2 | 4 | no | — |
| 506 | C4×D3 | — | 2 | 2 | no | — |
| 507 | C4×D3 | — | 4 | 1 | no | — |
| 508 | C4×D3 | — | 6 | 2 | no | — |
| 509 | C4×D3 | — | 6 | 1 | no | — |
| 510 | C4×D3 | — | 6 | 1 | no | — |
| 511 | C4×D3 | — | 6 | 1 | no | — |
| 512 | C4×D3 | — | 6 | 1 | no | — |
| 513 | C4×D3 | — | 6 | 1 | no | — |
| 514 | C4×D3 | — | 6 | 1 | no | — |
| 515 | C4×D3 | — | 6 | 1 | no | — |
| 516 | C4×D3 | — | 6 | 1 | no | — |
| 517 | C4×D3 | — | 6 | 2 | no | — |
| 518 | C4×D3 | — | 6 | 2 | no | — |
| 519 | C4×D3 | — | 6 | 2 | no | — |
| 520 | C4×D3 | — | 6 | 2 | no | — |
| 521 | C4×D3 | — | 6 | 4 | no | — |
| 522 | C4×D3 | — | 12 | 1 | no | — |
| 523 | C4×D3 | — | 12 | 1 | no | — |
| 524 | C4×D3 | — | 12 | 1 | no | — |
| 525 | C4×D3 | — | 12 | 1 | no | — |
| 526 | C4×D3 | — | 12 | 1 | no | — |
| 527 | Dic6 | — | 2 | 1 | no | — |
| 528 | Dic6 | — | 2 | 1 | no | — |
| 529 | Dic6 | — | 6 | 1 | no | — |
| 530 | Dic6 | — | 6 | 1 | no | — |
| 531 | Dic6 | — | 6 | 2 | no | — |
| 532 | Dic6 | — | 6 | 2 | no | — |
| 533 | Dic6 | — | 12 | 1 | no | — |
| 534 | Dic6 | — | 12 | 1 | no | — |
| 535 | C3×C8 | — | 6 | 1 | no | — |
| 536 | C3×C8 | — | 6 | 1 | no | — |
| 537 | C3⋊C8 | — | 2 | 1 | no | — |
| 538 | C3⋊C8 | — | 2 | 1 | no | — |
| 539 | C2×C32 | — | 2 | 1 | no | — |
| 540 | C2×C32 | — | 4 | 1 | no | — |
| 541 | C2×C32 | C2×#120 | 1 | 1 | yes | characteristic |
| 542 | C3⋊D3 | — | 2 | 1 | no | — |
| 543 | C3⋊D3 | — | 4 | 1 | no | — |
| 544 | C3⋊D3 | #576 | 1 | 1 | yes | characteristic |
| 545 | C3⋊D3 | #577 | 1 | 1 | yes | characteristic |
| 546 | C3×D3 | — | 4 | 2 | no | — |
| 547 | C3×D3 | — | 4 | 4 | no | — |
| 548 | C3×D3 | — | 8 | 1 | no | — |
| 549 | C24 | — | 18 | 2 | no | — |
| 550 | C24 | — | 18 | 1 | no | — |
| 551 | #41 | — | 6 | 2 | no | — |
| 552 | #41 | — | 6 | 2 | no | — |
| 553 | #41 | — | 6 | 1 | no | — |
| 554 | #41 | — | 6 | 1 | no | — |
| 555 | #41 | — | 9 | 1 | no | — |
| 556 | #41 | — | 9 | 1 | no | — |
| 557 | #41 | — | 9 | 1 | no | — |
| 558 | #41 | — | 18 | 1 | no | — |
| 559 | #41 | — | 18 | 1 | no | — |
| 560 | #41 | — | 18 | 2 | no | — |
| 561 | #41 | — | 18 | 4 | no | — |
| 562 | #41 | — | 18 | 2 | no | — |
| 563 | #41 | — | 18 | 1 | no | — |
| 564 | #41 | — | 18 | 1 | no | — |
| 565 | #41 | — | 18 | 1 | no | — |
| 566 | #41 | — | 18 | 1 | no | — |
| 567 | #41 | — | 18 | 1 | no | — |
| 568 | #41 | — | 18 | 1 | no | — |
| 569 | #41 | — | 18 | 2 | no | — |
| 570 | #41 | — | 18 | 2 | no | — |
| 571 | #41 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic, complemented |
| 572 | C2×Q8 | — | 9 | 1 | no | — |
| 573 | C2×Q8 | — | 9 | 1 | no | — |
| 574 | C2×Q8 | — | 9 | 1 | no | — |
| 575 | C2×D4 | — | 6 | 2 | no | — |
| 576 | C2×D4 | — | 6 | 4 | no | — |
| 577 | C2×D4 | — | 6 | 2 | no | — |
| 578 | C2×D4 | — | 6 | 1 | no | — |
| 579 | C2×D4 | — | 9 | 2 | no | — |
| 580 | C2×D4 | — | 9 | 2 | no | — |
| 581 | C2×D4 | — | 9 | 2 | no | — |
| 582 | C2×D4 | — | 9 | 1 | no | — |
| 583 | C2×D4 | — | 9 | 1 | no | — |
| 584 | C2×D4 | — | 9 | 2 | no | — |
| 585 | C2×D4 | — | 9 | 1 | no | — |
| 586 | C2×D4 | — | 18 | 2 | no | — |
| 587 | C2×D4 | — | 18 | 4 | no | — |
| 588 | C2×D4 | — | 18 | 2 | no | — |
| 589 | C2×D4 | — | 18 | 1 | no | — |
| 590 | C2×D4 | — | 18 | 1 | no | — |
| 591 | C2×D4 | — | 18 | 1 | no | — |
| 592 | C2×D4 | — | 18 | 2 | no | — |
| 593 | C2×D4 | — | 18 | 2 | no | — |
| 594 | C2×D4 | — | 18 | 2 | no | — |
| 595 | C2×D4 | — | 18 | 4 | no | — |
| 596 | C2×D4 | — | 18 | 4 | no | — |
| 597 | C2×D4 | — | 18 | 4 | no | — |
| 598 | C2×D4 | — | 18 | 1 | no | — |
| 599 | C2×D4 | — | 18 | 2 | no | — |
| 600 | C2×D4 | — | 18 | 2 | no | — |
| 601 | C22×C4 | — | 9 | 2 | no | — |
| 602 | C22×C4 | — | 9 | 1 | no | — |
| 603 | C22×C4 | — | 18 | 1 | no | — |
| 604 | C22×C4 | — | 18 | 2 | no | — |
| 605 | C22×C4 | — | 18 | 1 | no | — |
| 606 | C22×C4 | — | 18 | 1 | no | — |
| 607 | Q16 | — | 6 | 1 | no | — |
| 608 | Q16 | — | 18 | 1 | no | — |
| 609 | SD16 | — | 6 | 1 | no | — |
| 610 | SD16 | — | 6 | 1 | no | — |
| 611 | SD16 | — | 18 | 1 | no | — |
| 612 | SD16 | — | 18 | 1 | no | — |
| 613 | SD16 | — | 18 | 4 | no | — |
| 614 | D8 | — | 6 | 1 | no | — |
| 615 | D8 | — | 18 | 1 | no | — |
| 616 | D8 | — | 18 | 4 | no | — |
| 617 | M16 | — | 18 | 1 | no | — |
| 618 | M16 | — | 18 | 1 | no | — |
| 619 | C2×C8 | — | 6 | 1 | no | — |
| 620 | C2×C8 | — | 9 | 1 | no | — |
| 621 | C2×C8 | — | 9 | 1 | no | — |
| 622 | C2×C8 | — | 9 | 2 | no | — |
| 623 | C2×C8 | — | 18 | 1 | no | — |
| 624 | C4⋊C4 | — | 9 | 2 | no | — |
| 625 | C4⋊C4 | — | 18 | 1 | no | — |
| 626 | C4⋊C4 | — | 18 | 2 | no | — |
| 627 | C22⋊C4 | — | 18 | 2 | no | — |
| 628 | C22⋊C4 | — | 18 | 2 | no | — |
| 629 | C22×C3 | — | 2 | 2 | no | — |
| 630 | C22×C3 | — | 2 | 1 | no | — |
| 631 | C22×C3 | — | 2 | 1 | no | — |
| 632 | C22×C3 | — | 4 | 1 | no | — |
| 633 | C22×C3 | — | 6 | 4 | no | — |
| 634 | C22×C3 | — | 6 | 2 | no | — |
| 635 | C22×C3 | — | 12 | 1 | no | — |
| 636 | C22×C3 | — | 24 | 2 | no | — |
| 637 | C22×C3 | — | 24 | 4 | no | — |
| 638 | C2×D3 | — | 2 | 4 | no | — |
| 639 | C2×D3 | — | 2 | 2 | no | — |
| 640 | C2×D3 | — | 4 | 1 | no | — |
| 641 | C2×D3 | — | 6 | 1 | no | — |
| 642 | C2×D3 | — | 6 | 1 | no | — |
| 643 | C2×D3 | — | 6 | 1 | no | — |
| 644 | C2×D3 | — | 6 | 1 | no | — |
| 645 | C2×D3 | — | 6 | 2 | no | — |
| 646 | C2×D3 | — | 8 | 2 | no | — |
| 647 | C2×D3 | — | 8 | 4 | no | — |
| 648 | C2×D3 | — | 12 | 2 | no | — |
| 649 | C2×D3 | — | 12 | 2 | no | — |
| 650 | C2×D3 | — | 12 | 1 | no | — |
| 651 | C2×D3 | — | 12 | 1 | no | — |
| 652 | C2×D3 | — | 12 | 1 | no | — |
| 653 | C2×D3 | — | 12 | 1 | no | — |
| 654 | C2×D3 | — | 12 | 1 | no | — |
| 655 | C2×D3 | — | 12 | 4 | no | — |
| 656 | C2×D3 | — | 12 | 4 | no | — |
| 657 | C2×D3 | — | 12 | 2 | no | — |
| 658 | C2×D3 | — | 12 | 2 | no | — |
| 659 | C2×D3 | — | 24 | 1 | no | — |
| 660 | C2×D3 | — | 24 | 1 | no | — |
| 661 | C2×D3 | — | 24 | 1 | no | — |
| 662 | C2×D3 | — | 24 | 1 | no | — |
| 663 | C2×D3 | — | 24 | 4 | no | — |
| 664 | C2×D3 | — | 24 | 4 | no | — |
| 665 | C2×D3 | — | 24 | 4 | no | — |
| 666 | C3×C4 | — | 2 | 2 | no | — |
| 667 | C3×C4 | — | 2 | 1 | no | — |
| 668 | C3×C4 | — | 2 | 1 | no | — |
| 669 | C3×C4 | — | 2 | 1 | no | — |
| 670 | C3×C4 | — | 2 | 1 | no | — |
| 671 | C3×C4 | — | 4 | 1 | no | — |
| 672 | C3×C4 | — | 6 | 2 | no | — |
| 673 | C3×C4 | — | 12 | 1 | no | — |
| 674 | Dic3 | — | 2 | 2 | no | — |
| 675 | Dic3 | — | 4 | 1 | no | — |
| 676 | Dic3 | — | 6 | 1 | no | — |
| 677 | Dic3 | — | 6 | 1 | no | — |
| 678 | Dic3 | — | 6 | 1 | no | — |
| 679 | Dic3 | — | 6 | 1 | no | — |
| 680 | Dic3 | — | 6 | 2 | no | — |
| 681 | Dic3 | — | 12 | 1 | no | — |
| 682 | C32 | #3012 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 683 | C23 | — | 6 | 4 | no | — |
| 684 | C23 | — | 6 | 2 | no | — |
| 685 | C23 | — | 9 | 2 | no | — |
| 686 | C23 | — | 9 | 1 | no | — |
| 687 | C23 | — | 18 | 1 | no | — |
| 688 | C23 | — | 18 | 2 | no | — |
| 689 | C23 | — | 18 | 2 | no | — |
| 690 | C23 | — | 18 | 4 | no | — |
| 691 | C23 | — | 18 | 1 | no | — |
| 692 | C23 | — | 72 | 1 | no | — |
| 693 | C23 | — | 72 | 1 | no | — |
| 694 | C23 | — | 72 | 2 | no | — |
| 695 | C23 | — | 72 | 2 | no | — |
| 696 | Q8 | — | 6 | 1 | no | — |
| 697 | Q8 | — | 6 | 1 | no | — |
| 698 | Q8 | — | 9 | 1 | no | — |
| 699 | Q8 | — | 18 | 1 | no | — |
| 700 | Q8 | — | 18 | 1 | no | — |
| 701 | Q8 | — | 18 | 1 | no | — |
| 702 | Q8 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 703 | D4 | — | 2 | 1 | no | — |
| 704 | D4 | — | 6 | 4 | no | — |
| 705 | D4 | — | 6 | 4 | no | — |
| 706 | D4 | — | 6 | 2 | no | — |
| 707 | D4 | — | 6 | 2 | no | — |
| 708 | D4 | — | 6 | 1 | no | — |
| 709 | D4 | — | 6 | 2 | no | — |
| 710 | D4 | — | 6 | 1 | no | — |
| 711 | D4 | — | 9 | 4 | no | — |
| 712 | D4 | — | 9 | 1 | no | — |
| 713 | D4 | — | 12 | 1 | no | — |
| 714 | D4 | — | 18 | 1 | no | — |
| 715 | D4 | — | 18 | 2 | no | — |
| 716 | D4 | — | 18 | 4 | no | — |
| 717 | D4 | — | 18 | 1 | no | — |
| 718 | D4 | — | 18 | 2 | no | — |
| 719 | D4 | — | 18 | 1 | no | — |
| 720 | D4 | — | 18 | 1 | no | — |
| 721 | D4 | — | 18 | 1 | no | — |
| 722 | D4 | — | 18 | 4 | no | — |
| 723 | D4 | — | 18 | 1 | no | — |
| 724 | D4 | — | 36 | 1 | no | — |
| 725 | D4 | — | 72 | 2 | no | — |
| 726 | D4 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 727 | C2×C4 | — | 2 | 1 | no | — |
| 728 | C2×C4 | — | 6 | 4 | no | — |
| 729 | C2×C4 | — | 6 | 2 | no | — |
| 730 | C2×C4 | — | 9 | 2 | no | — |
| 731 | C2×C4 | — | 9 | 1 | no | — |
| 732 | C2×C4 | — | 9 | 1 | no | — |
| 733 | C2×C4 | — | 9 | 1 | no | — |
| 734 | C2×C4 | — | 9 | 1 | no | — |
| 735 | C2×C4 | — | 9 | 1 | no | — |
| 736 | C2×C4 | — | 12 | 1 | no | — |
| 737 | C2×C4 | — | 18 | 1 | no | — |
| 738 | C2×C4 | — | 18 | 1 | no | — |
| 739 | C2×C4 | — | 18 | 2 | no | — |
| 740 | C2×C4 | — | 18 | 4 | no | — |
| 741 | C2×C4 | — | 18 | 1 | no | — |
| 742 | C2×C4 | — | 18 | 1 | no | — |
| 743 | C2×C4 | — | 18 | 1 | no | — |
| 744 | C2×C4 | — | 18 | 2 | no | — |
| 745 | C2×C4 | — | 36 | 1 | no | — |
| 746 | C2×C4 | — | 72 | 1 | no | — |
| 747 | C2×C4 | C2×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 748 | C8 | — | 6 | 1 | no | — |
| 749 | C8 | — | 6 | 1 | no | — |
| 750 | C8 | — | 18 | 2 | no | — |
| 751 | C2×C3 | — | 2 | 1 | no | — |
| 752 | C2×C3 | — | 2 | 1 | no | — |
| 753 | C2×C3 | — | 4 | 1 | no | — |
| 754 | C2×C3 | — | 4 | 1 | no | — |
| 755 | C2×C3 | — | 4 | 2 | no | — |
| 756 | C2×C3 | — | 8 | 1 | no | — |
| 757 | C2×C3 | — | 12 | 2 | no | — |
| 758 | C2×C3 | — | 12 | 4 | no | — |
| 759 | C2×C3 | — | 24 | 1 | no | — |
| 760 | D3 | — | 4 | 2 | no | — |
| 761 | D3 | — | 4 | 4 | no | — |
| 762 | D3 | — | 6 | 1 | no | — |
| 763 | D3 | — | 6 | 1 | no | — |
| 764 | D3 | — | 6 | 1 | no | — |
| 765 | D3 | — | 6 | 1 | no | — |
| 766 | D3 | — | 8 | 1 | no | — |
| 767 | D3 | — | 12 | 1 | no | — |
| 768 | D3 | — | 12 | 1 | no | — |
| 769 | D3 | — | 12 | 2 | no | — |
| 770 | D3 | — | 24 | 1 | no | — |
| 771 | C22 | — | 2 | 1 | no | — |
| 772 | C22 | — | 6 | 4 | no | — |
| 773 | C22 | — | 6 | 2 | no | — |
| 774 | C22 | — | 9 | 1 | no | — |
| 775 | C22 | — | 9 | 1 | no | — |
| 776 | C22 | — | 12 | 1 | no | — |
| 777 | C22 | — | 18 | 1 | no | — |
| 778 | C22 | — | 18 | 1 | no | — |
| 779 | C22 | — | 18 | 2 | no | — |
| 780 | C22 | — | 18 | 2 | no | — |
| 781 | C22 | — | 18 | 1 | no | — |
| 782 | C22 | — | 24 | 2 | no | — |
| 783 | C22 | — | 24 | 4 | no | — |
| 784 | C22 | — | 36 | 1 | no | — |
| 785 | C22 | — | 36 | 1 | no | — |
| 786 | C22 | — | 36 | 2 | no | — |
| 787 | C22 | — | 36 | 2 | no | — |
| 788 | C22 | — | 36 | 1 | no | — |
| 789 | C22 | — | 36 | 1 | no | — |
| 790 | C22 | — | 72 | 2 | no | — |
| 791 | C22 | — | 72 | 4 | no | — |
| 792 | C22 | #64241 | 1 | 1 | yes | characteristic |
| 793 | C4 | — | 2 | 1 | no | — |
| 794 | C4 | — | 6 | 2 | no | — |
| 795 | C4 | — | 9 | 1 | no | — |
| 796 | C4 | — | 9 | 1 | no | — |
| 797 | C4 | — | 12 | 1 | no | — |
| 798 | C4 | — | 18 | 1 | no | — |
| 799 | C4 | — | 36 | 2 | no | — |
| 800 | C4 | #64241 | 1 | 1 | yes | characteristic |
| 801 | C4 | C22×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 802 | C3 | — | 2 | 1 | no | — |
| 803 | C3 | — | 2 | 1 | no | — |
| 804 | C2 | — | 2 | 1 | no | — |
| 805 | C2 | — | 4 | 1 | no | — |
| 806 | C2 | — | 9 | 1 | no | — |
| 807 | C2 | — | 9 | 1 | no | — |
| 808 | C2 | — | 12 | 2 | no | — |
| 809 | C2 | — | 12 | 4 | no | — |
| 810 | C2 | — | 18 | 1 | no | — |
| 811 | C2 | — | 24 | 1 | no | — |
| 812 | C2 | — | 36 | 1 | no | — |
| 813 | C2 | C2×#64241 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596692 | C2 | semidirect |
| 2. #10596513 | C2 | semidirect |
| 3. #10596501 | C2 | semidirect |
| 4. #10595459 | C2 | semidirect |
| 5. #10593840 | C2 | semidirect |
| 6. #10593480 | C2 | semidirect |
| 7. #10593478 | C2 | semidirect |
| 8. #10593459 | C2 | semidirect |
| 9. #10593457 | C2 | semidirect |
| 10. C2×#63729 | C2 | semidirect |
| 11. #10593308 | C2 | semidirect |
| 24. #64306 | C22 | semidirect |
| 27. C2×C4⋊#157 | C22 | semidirect |
| 28. #64283 | C22 | semidirect |
| 32. #64230 | C22 | semidirect |
| 33. #64227 | C22 | semidirect |
| 34. #64225 | C22 | semidirect |
| 37. D32⋊Q8 | C22 | semidirect |
| 40. #63944 | C22 | semidirect |
| 41. #63940 | C22 | semidirect |
| 43. #63930 | C22 | semidirect |
| 44. #63926 | C22 | semidirect |
| 46. C2×#3710 | C22 | semidirect |
| 47. #63784 | C22 | semidirect |
| 48. #63782 | C22 | semidirect |
| 49. #63729 | C22 | semidirect |
| 50. #63729 | C22 | semidirect |
| 51. D32⋊C8 | C22 | semidirect |
| 52. D32⋊C8 | C22 | semidirect |
| 59. C32×#41 | D4 | semidirect |
| 60. #3832 | D4 | semidirect |
| 63. #3830 | D4 | semidirect |
| 67. #3828 | D4 | semidirect |
| 85. C2×#625 | D4 | semidirect |
| 95. #3802 | D4 | semidirect |
| 571. #41 | GO+(4,𝔽2) | semidirect |
| 682. C32 | #3012 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596692 | 2 |
| #10596513 | 2 |
| #10596501 | 2 |
| #10595459 | 2 |
| #10593840 | 2 |
| #10593480 | 2 |
| #10593478 | 2 |
| #10593459 | 2 |
| #10593457 | 2 |
| C2×#63729 | 2 |
| #10593308 | 2 |
| #3012 | 9 |