Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1392 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 1392 conjugacy classes of subgroups — too many to draw. Only its 139 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 | H(3,𝔽4)×D43 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | B(4,𝔽2)×D43 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #455×D43 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #19136598 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #19136597 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #19136596 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #19136595 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #19136594 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #354×D43 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | AΣL(1,𝔽16)×D43 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C43×#2199 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | H(5,𝔽2)×D43 | C22 | 1 | 1 | yes | characteristic |
| 13 | #137×D43 | — | 2 | 1 | no | — |
| 14 | #14583642 | — | 2 | 2 | no | — |
| 15 | #14583642 | C22 | 1 | 2 | yes | complemented |
| 16 | #14583641 | — | 2 | 1 | no | — |
| 17 | #14583641 | — | 2 | 1 | no | — |
| 18 | #14583641 | — | 2 | 2 | no | — |
| 19 | #14583641 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #124×D43 | — | 2 | 1 | no | — |
| 21 | #124×D43 | — | 2 | 2 | no | — |
| 22 | #124×D43 | — | 2 | 1 | no | — |
| 23 | #124×D43 | C22 | 1 | 1 | yes | characteristic |
| 24 | #120×D43 | — | 2 | 2 | no | — |
| 25 | #120×D43 | — | 2 | 2 | no | — |
| 26 | #120×D43 | C22 | 1 | 2 | yes | — |
| 27 | #14583087 | — | 2 | 2 | no | — |
| 28 | #14583087 | C22 | 1 | 2 | yes | complemented |
| 29 | #14583086 | C22 | 1 | 2 | yes | complemented |
| 30 | #14583085 | — | 2 | 2 | no | — |
| 31 | #14583085 | C22 | 1 | 2 | yes | complemented |
| 32 | #14583079 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #14583078 | — | 2 | 1 | no | — |
| 34 | #14583077 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #14583076 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #14583075 | — | 2 | 1 | no | — |
| 37 | #104×D43 | — | 2 | 1 | no | — |
| 38 | #100×D43 | C22 | 1 | 1 | yes | characteristic |
| 39 | #99×D43 | — | 2 | 2 | no | — |
| 40 | #99×D43 | C22 | 1 | 2 | yes | — |
| 41 | #14582694 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #14582693 | C22 | 1 | 2 | yes | complemented |
| 43 | #14582687 | C22 | 1 | 2 | yes | complemented |
| 44 | #14582686 | C22 | 1 | 2 | yes | complemented |
| 45 | #14582685 | C22 | 1 | 2 | yes | complemented |
| 46 | C43×H(3,𝔽4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C43×B(4,𝔽2) | C22 | 1 | 2 | yes | complemented |
| 48 | C43×#455 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C43×#354 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C43×AΣL(1,𝔽16) | C22 | 1 | 2 | yes | complemented |
| 51 | C24×D43 | D4 | 1 | 2 | yes | complemented |
| 52 | #13063371 | — | 2 | 1 | no | — |
| 53 | #13063371 | — | 4 | 1 | no | — |
| 54 | #13063370 | — | 2 | 2 | no | — |
| 55 | #13063370 | — | 4 | 1 | no | — |
| 56 | #13063370 | C23 | 1 | 1 | yes | characteristic |
| 57 | #41×D43 | — | 2 | 1 | no | — |
| 58 | #41×D43 | — | 4 | 1 | no | — |
| 59 | C2×Q8×D43 | — | 2 | 1 | no | — |
| 60 | C2×Q8×D43 | D4 | 1 | 1 | yes | characteristic, complemented |
| 61 | C2×D4×D43 | — | 2 | 2 | no | — |
| 62 | C2×D4×D43 | — | 2 | 1 | no | — |
| 63 | C2×D4×D43 | — | 2 | 1 | no | — |
| 64 | C2×D4×D43 | — | 2 | 2 | no | — |
| 65 | C2×D4×D43 | — | 4 | 1 | no | — |
| 66 | C2×D4×D43 | — | 4 | 2 | no | — |
| 67 | C2×D4×D43 | C23 | 1 | 1 | yes | characteristic |
| 68 | #13063358 | — | 2 | 1 | no | — |
| 69 | #13063357 | — | 4 | 1 | no | — |
| 70 | #13063356 | — | 2 | 1 | no | — |
| 71 | #13063355 | — | 2 | 1 | no | — |
| 72 | #13063354 | — | 4 | 1 | no | — |
| 73 | Q16×D43 | — | 4 | 1 | no | — |
| 74 | SD16×D43 | — | 4 | 1 | no | — |
| 75 | M16×D43 | — | 2 | 1 | no | — |
| 76 | #13063314 | — | 2 | 2 | no | — |
| 77 | #13063314 | — | 2 | 1 | no | — |
| 78 | #13063314 | — | 2 | 1 | no | — |
| 79 | #13063314 | D4 | 1 | 1 | yes | characteristic, complemented |
| 80 | #13063313 | — | 2 | 1 | no | — |
| 81 | #13063313 | — | 2 | 2 | no | — |
| 82 | #13063313 | — | 2 | 1 | no | — |
| 83 | #13063313 | D4 | 1 | 1 | yes | characteristic, complemented |
| 84 | #13063312 | — | 2 | 1 | no | — |
| 85 | #13063312 | — | 2 | 1 | no | — |
| 86 | #13063312 | — | 2 | 2 | no | — |
| 87 | #13063312 | C23 | 1 | 1 | yes | characteristic |
| 88 | #13063311 | — | 2 | 2 | no | — |
| 89 | #13063311 | — | 2 | 2 | no | — |
| 90 | #13063311 | — | 2 | 2 | no | — |
| 91 | #13063311 | — | 2 | 2 | no | — |
| 92 | #13063311 | — | 2 | 2 | no | — |
| 93 | #13063311 | — | 2 | 2 | no | — |
| 94 | #13063311 | — | 2 | 2 | no | — |
| 95 | #13063311 | — | 2 | 2 | no | — |
| 96 | #13063311 | — | 2 | 2 | no | — |
| 97 | #13063295 | — | 2 | 2 | no | — |
| 98 | #13063295 | — | 2 | 2 | no | — |
| 99 | #13063295 | — | 2 | 2 | no | — |
| 100 | #13063295 | — | 2 | 2 | no | — |
| 101 | #13063295 | — | 2 | 2 | no | — |
| 102 | #13063295 | — | 4 | 2 | no | — |
| 103 | #13063295 | D4 | 1 | 2 | yes | complemented |
| 104 | #13063294 | — | 2 | 2 | no | — |
| 105 | #13063294 | — | 2 | 2 | no | — |
| 106 | #13063294 | D4 | 1 | 2 | yes | complemented |
| 107 | #13063293 | — | 2 | 2 | no | — |
| 108 | #13063293 | — | 2 | 2 | no | — |
| 109 | #13063293 | — | 2 | 2 | no | — |
| 110 | #13063293 | — | 2 | 2 | no | — |
| 111 | #13063293 | — | 2 | 2 | no | — |
| 112 | #13063293 | — | 4 | 2 | no | — |
| 113 | #13063293 | C23 | 1 | 2 | yes | — |
| 114 | C22⋊C4×D43 | — | 2 | 2 | no | — |
| 115 | C22⋊C4×D43 | — | 2 | 2 | no | — |
| 116 | C22⋊C4×D43 | — | 2 | 2 | no | — |
| 117 | C22⋊C4×D43 | — | 2 | 2 | no | — |
| 118 | C22⋊C4×D43 | — | 2 | 2 | no | — |
| 119 | C22⋊C4×D43 | — | 4 | 2 | no | — |
| 120 | C22⋊C4×D43 | D4 | 1 | 2 | yes | complemented |
| 121 | C42×D43 | — | 2 | 1 | no | — |
| 122 | C42×D43 | D4 | 1 | 1 | yes | characteristic, complemented |
| 123 | #13063253 | — | 2 | 1 | no | — |
| 124 | #13063252 | — | 2 | 1 | no | — |
| 125 | #13063251 | — | 2 | 1 | no | — |
| 126 | #13063242 | C23 | 1 | 1 | yes | characteristic |
| 127 | #13063241 | — | 2 | 1 | no | — |
| 128 | #13063240 | — | 2 | 2 | no | — |
| 129 | #13063240 | C23 | 1 | 2 | yes | — |
| 130 | #13063239 | — | 2 | 2 | no | — |
| 131 | #13063239 | — | 2 | 2 | no | — |
| 132 | #13063239 | — | 2 | 2 | no | — |
| 133 | H(5,𝔽2)×C43 | C23 | 1 | 1 | yes | characteristic |
| 134 | #137×C43 | — | 2 | 1 | no | — |
| 135 | #124×C43 | — | 2 | 1 | no | — |
| 136 | #124×C43 | — | 2 | 2 | no | — |
| 137 | #124×C43 | — | 2 | 1 | no | — |
| 138 | #124×C43 | C23 | 1 | 1 | yes | characteristic |
| 139 | #120×C43 | — | 2 | 2 | no | — |
| 140 | #120×C43 | — | 2 | 2 | no | — |
| 141 | #120×C43 | C23 | 1 | 2 | yes | — |
| 142 | #104×C43 | — | 2 | 1 | no | — |
| 143 | #100×C43 | C23 | 1 | 1 | yes | characteristic |
| 144 | #99×C43 | — | 2 | 2 | no | — |
| 145 | #99×C43 | C23 | 1 | 2 | yes | — |
| 146 | C24×C43 | C2×D4 | 1 | 2 | yes | complemented |
| 147 | C23×D43 | — | 2 | 2 | no | — |
| 148 | C23×D43 | — | 2 | 2 | no | — |
| 149 | C23×D43 | — | 2 | 2 | no | — |
| 150 | C23×D43 | — | 4 | 2 | no | — |
| 151 | C23×D43 | — | 4 | 2 | no | — |
| 152 | C23×D43 | — | 8 | 4 | no | — |
| 153 | C23×D43 | C2×D4 | 1 | 2 | yes | — |
| 154 | C23×D43 | C2×D4 | 1 | 2 | yes | complemented |
| 155 | #41×C43 | — | 2 | 1 | no | — |
| 156 | #41×C43 | — | 4 | 1 | no | — |
| 157 | C2×Q8×C43 | — | 2 | 1 | no | — |
| 158 | C2×Q8×C43 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 159 | C2×D4×C43 | — | 2 | 1 | no | — |
| 160 | C2×D4×C43 | — | 2 | 1 | no | — |
| 161 | C2×D4×C43 | — | 2 | 2 | no | — |
| 162 | C2×D4×C43 | — | 2 | 2 | no | — |
| 163 | C2×D4×C43 | — | 4 | 1 | no | — |
| 164 | C2×D4×C43 | — | 4 | 2 | no | — |
| 165 | C2×D4×C43 | C24 | 1 | 1 | yes | characteristic |
| 166 | C2×C22⋊D43 | — | 2 | 2 | no | — |
| 167 | C2×C22⋊D43 | — | 2 | 2 | no | — |
| 168 | C2×C22⋊D43 | — | 2 | 2 | no | — |
| 169 | C2×C22⋊D43 | — | 2 | 2 | no | — |
| 170 | C2×C22⋊D43 | — | 2 | 2 | no | — |
| 171 | C2×C22⋊D43 | — | 2 | 2 | no | — |
| 172 | C2×C22⋊D43 | — | 4 | 2 | no | — |
| 173 | C2×C22⋊D43 | — | 4 | 2 | no | — |
| 174 | C2×C22⋊D43 | — | 4 | 2 | no | — |
| 175 | C2×C22⋊D43 | C2×D4 | 1 | 2 | yes | — |
| 176 | #10621902 | — | 2 | 1 | no | — |
| 177 | #10621902 | — | 4 | 1 | no | — |
| 178 | Q8×D43 | — | 2 | 1 | no | — |
| 179 | Q8×D43 | — | 4 | 1 | no | — |
| 180 | Q8×D43 | — | 4 | 1 | no | — |
| 181 | Q8×D43 | — | 8 | 2 | no | — |
| 182 | #10621900 | — | 2 | 1 | no | — |
| 183 | #10621900 | — | 4 | 1 | no | — |
| 184 | #10621900 | — | 4 | 2 | no | — |
| 185 | #10621900 | — | 4 | 1 | no | — |
| 186 | D4×D43 | — | 2 | 1 | no | — |
| 187 | D4×D43 | — | 4 | 1 | no | — |
| 188 | D4×D43 | — | 4 | 1 | no | — |
| 189 | D4×D43 | — | 4 | 1 | no | — |
| 190 | D4×D43 | — | 4 | 2 | no | — |
| 191 | D4×D43 | — | 4 | 2 | no | — |
| 192 | D4×D43 | — | 4 | 2 | no | — |
| 193 | D4×D43 | — | 4 | 1 | no | — |
| 194 | D4×D43 | — | 4 | 1 | no | — |
| 195 | D4×D43 | — | 4 | 2 | no | — |
| 196 | D4×D43 | — | 8 | 4 | no | — |
| 197 | D4×D43 | — | 8 | 2 | no | — |
| 198 | D4×D43 | — | 8 | 1 | no | — |
| 199 | D4×D43 | — | 8 | 1 | no | — |
| 200 | D4×D43 | — | 8 | 8 | no | — |
| 201 | #10621898 | — | 2 | 1 | no | — |
| 202 | #10621898 | — | 4 | 1 | no | — |
| 203 | #10621898 | — | 4 | 1 | no | — |
| 204 | #10621898 | — | 4 | 2 | no | — |
| 205 | C2×D172 | — | 2 | 2 | no | — |
| 206 | C2×D172 | — | 2 | 1 | no | — |
| 207 | C2×D172 | — | 2 | 1 | no | — |
| 208 | C2×D172 | — | 2 | 2 | no | — |
| 209 | C2×D172 | — | 4 | 2 | no | — |
| 210 | C2×D172 | — | 4 | 1 | no | — |
| 211 | C2×D172 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C2×C4×D43 | — | 2 | 2 | no | — |
| 213 | C2×C4×D43 | — | 2 | 1 | no | — |
| 214 | C2×C4×D43 | — | 2 | 2 | no | — |
| 215 | C2×C4×D43 | — | 2 | 1 | no | — |
| 216 | C2×C4×D43 | — | 4 | 2 | no | — |
| 217 | C2×C4×D43 | — | 4 | 1 | no | — |
| 218 | C2×C4×D43 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | C2×Dic86 | — | 2 | 1 | no | — |
| 220 | C2×Dic86 | — | 2 | 2 | no | — |
| 221 | C2×Dic86 | — | 2 | 1 | no | — |
| 222 | C2×Dic86 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 223 | Q16×C43 | — | 4 | 1 | no | — |
| 224 | SD16×C43 | — | 4 | 1 | no | — |
| 225 | M16×C43 | — | 2 | 1 | no | — |
| 226 | C22⋊C4×C43 | — | 2 | 2 | no | — |
| 227 | C22⋊C4×C43 | — | 2 | 2 | no | — |
| 228 | C22⋊C4×C43 | — | 2 | 2 | no | — |
| 229 | C22⋊C4×C43 | — | 2 | 2 | no | — |
| 230 | C22⋊C4×C43 | — | 2 | 2 | no | — |
| 231 | C22⋊C4×C43 | — | 4 | 2 | no | — |
| 232 | C22⋊C4×C43 | C2×D4 | 1 | 2 | yes | complemented |
| 233 | C42×C43 | — | 2 | 1 | no | — |
| 234 | C42×C43 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 235 | C22⋊Dic43 | — | 2 | 2 | no | — |
| 236 | C22⋊Dic43 | — | 2 | 2 | no | — |
| 237 | C22⋊Dic43 | — | 2 | 2 | no | — |
| 238 | C22⋊Dic43 | — | 2 | 2 | no | — |
| 239 | C22⋊Dic43 | — | 2 | 2 | no | — |
| 240 | C22⋊Dic43 | — | 4 | 2 | no | — |
| 241 | C22⋊Dic43 | C2×D4 | 1 | 2 | yes | complemented |
| 242 | #10621885 | — | 4 | 1 | no | — |
| 243 | #10621885 | — | 4 | 1 | no | — |
| 244 | #10621884 | — | 4 | 1 | no | — |
| 245 | #10621883 | — | 4 | 1 | no | — |
| 246 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 247 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 248 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 249 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 250 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 251 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 252 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 253 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 254 | (C2×D43)⋊C4 | — | 2 | 2 | no | — |
| 255 | (C2×D43)⋊C4 | — | 4 | 2 | no | — |
| 256 | (C2×D43)⋊C4 | — | 4 | 2 | no | — |
| 257 | (C2×D43)⋊C4 | — | 4 | 2 | no | — |
| 258 | C4×Dic43 | — | 2 | 2 | no | — |
| 259 | C4×Dic43 | — | 2 | 1 | no | — |
| 260 | C4×Dic43 | — | 2 | 1 | no | — |
| 261 | C4×Dic43 | C2×D4 | 1 | 1 | yes | characteristic, complemented |
| 262 | #10621877 | — | 2 | 1 | no | — |
| 263 | Dic172 | — | 4 | 1 | no | — |
| 264 | #10621873 | — | 4 | 1 | no | — |
| 265 | #10621872 | — | 4 | 1 | no | — |
| 266 | C8×D43 | — | 4 | 1 | no | — |
| 267 | C23×C43 | — | 2 | 2 | no | — |
| 268 | C23×C43 | — | 2 | 2 | no | — |
| 269 | C23×C43 | — | 4 | 2 | no | — |
| 270 | C23×C43 | — | 8 | 2 | no | — |
| 271 | C23×C43 | C22×D4 | 1 | 2 | yes | — |
| 272 | C22×D43 | — | 2 | 2 | no | — |
| 273 | C22×D43 | — | 2 | 2 | no | — |
| 274 | C22×D43 | — | 2 | 2 | no | — |
| 275 | C22×D43 | — | 2 | 2 | no | — |
| 276 | C22×D43 | — | 4 | 4 | no | — |
| 277 | C22×D43 | — | 4 | 4 | no | — |
| 278 | C22×D43 | — | 4 | 4 | no | — |
| 279 | C22×D43 | — | 4 | 2 | no | — |
| 280 | C22×D43 | — | 4 | 2 | no | — |
| 281 | C22×D43 | — | 4 | 8 | no | — |
| 282 | C22×D43 | — | 4 | 1 | no | — |
| 283 | C22×D43 | — | 4 | 2 | no | — |
| 284 | C22×D43 | — | 4 | 2 | no | — |
| 285 | C22×D43 | — | 8 | 2 | no | — |
| 286 | C22×D43 | — | 8 | 2 | no | — |
| 287 | C22×D43 | — | 8 | 2 | no | — |
| 288 | C22×D43 | — | 8 | 2 | no | — |
| 289 | C22×D43 | — | 8 | 4 | no | — |
| 290 | C22×D43 | — | 8 | 4 | no | — |
| 291 | C22×D43 | — | 8 | 4 | no | — |
| 292 | C22×D43 | — | 8 | 4 | no | — |
| 293 | C22×D43 | #120 | 1 | 1 | yes | characteristic |
| 294 | C22×D43 | #120 | 1 | 2 | yes | — |
| 295 | Q8×C43 | — | 2 | 1 | no | — |
| 296 | Q8×C43 | — | 4 | 1 | no | — |
| 297 | Q8×C43 | — | 8 | 1 | no | — |
| 298 | D4×C43 | — | 2 | 1 | no | — |
| 299 | D4×C43 | — | 4 | 1 | no | — |
| 300 | D4×C43 | — | 4 | 2 | no | — |
| 301 | D4×C43 | — | 4 | 1 | no | — |
| 302 | D4×C43 | — | 8 | 2 | no | — |
| 303 | D4×C43 | — | 8 | 1 | no | — |
| 304 | D4×C43 | — | 8 | 1 | no | — |
| 305 | D4×C43 | — | 8 | 4 | no | — |
| 306 | C2×C4×C43 | — | 2 | 2 | no | — |
| 307 | C2×C4×C43 | — | 2 | 1 | no | — |
| 308 | C2×C4×C43 | — | 2 | 2 | no | — |
| 309 | C2×C4×C43 | — | 2 | 1 | no | — |
| 310 | C2×C4×C43 | — | 4 | 1 | no | — |
| 311 | C2×C4×C43 | — | 4 | 2 | no | — |
| 312 | C2×C4×C43 | C22×D4 | 1 | 1 | yes | characteristic |
| 313 | C22⋊D43 | — | 4 | 2 | no | — |
| 314 | C22⋊D43 | — | 4 | 1 | no | — |
| 315 | C22⋊D43 | — | 4 | 2 | no | — |
| 316 | C22⋊D43 | — | 4 | 2 | no | — |
| 317 | C22⋊D43 | — | 4 | 1 | no | — |
| 318 | C22⋊D43 | — | 4 | 1 | no | — |
| 319 | C22⋊D43 | — | 8 | 2 | no | — |
| 320 | C22⋊D43 | — | 8 | 2 | no | — |
| 321 | C22⋊D43 | — | 8 | 2 | no | — |
| 322 | C22⋊D43 | — | 8 | 2 | no | — |
| 323 | C22⋊D43 | — | 8 | 4 | no | — |
| 324 | C22⋊D43 | — | 8 | 4 | no | — |
| 325 | C2×Dic43 | — | 2 | 2 | no | — |
| 326 | C2×Dic43 | — | 2 | 1 | no | — |
| 327 | C2×Dic43 | — | 2 | 2 | no | — |
| 328 | C2×Dic43 | — | 2 | 1 | no | — |
| 329 | C2×Dic43 | — | 4 | 1 | no | — |
| 330 | C2×Dic43 | — | 4 | 2 | no | — |
| 331 | C2×Dic43 | #120 | 1 | 1 | yes | characteristic |
| 332 | D172 | — | 2 | 1 | no | — |
| 333 | D172 | — | 4 | 1 | no | — |
| 334 | D172 | — | 4 | 2 | no | — |
| 335 | D172 | — | 4 | 1 | no | — |
| 336 | D172 | — | 8 | 2 | no | — |
| 337 | D172 | — | 8 | 1 | no | — |
| 338 | D172 | — | 8 | 1 | no | — |
| 339 | D172 | — | 8 | 4 | no | — |
| 340 | C4×D43 | — | 2 | 1 | no | — |
| 341 | C4×D43 | — | 2 | 1 | no | — |
| 342 | C4×D43 | — | 4 | 1 | no | — |
| 343 | C4×D43 | — | 4 | 1 | no | — |
| 344 | C4×D43 | — | 4 | 2 | no | — |
| 345 | C4×D43 | — | 4 | 4 | no | — |
| 346 | C4×D43 | — | 4 | 2 | no | — |
| 347 | C4×D43 | — | 4 | 1 | no | — |
| 348 | C4×D43 | — | 4 | 1 | no | — |
| 349 | C4×D43 | — | 4 | 1 | no | — |
| 350 | C4×D43 | — | 8 | 4 | no | — |
| 351 | Dic86 | — | 2 | 1 | no | — |
| 352 | Dic86 | — | 4 | 1 | no | — |
| 353 | Dic86 | — | 4 | 1 | no | — |
| 354 | Dic86 | — | 8 | 1 | no | — |
| 355 | Dic86 | — | 8 | 1 | no | — |
| 356 | Dic86 | — | 8 | 2 | no | — |
| 357 | C8×C43 | — | 4 | 1 | no | — |
| 358 | C43⋊C8 | — | 4 | 1 | no | — |
| 359 | C2×#2199 | — | 43 | 1 | no | maximal, Sylow |
| 360 | C22×C43 | — | 2 | 2 | no | — |
| 361 | C22×C43 | — | 4 | 2 | no | — |
| 362 | C22×C43 | — | 4 | 2 | no | — |
| 363 | C22×C43 | — | 4 | 2 | no | — |
| 364 | C22×C43 | — | 4 | 4 | no | — |
| 365 | C22×C43 | — | 4 | 1 | no | — |
| 366 | C22×C43 | — | 4 | 2 | no | — |
| 367 | C22×C43 | — | 8 | 2 | no | — |
| 368 | C22×C43 | — | 8 | 2 | no | — |
| 369 | C22×C43 | C2×#120 | 1 | 1 | yes | characteristic |
| 370 | C2×D43 | — | 2 | 2 | no | — |
| 371 | C2×D43 | — | 2 | 2 | no | — |
| 372 | C2×D43 | — | 4 | 4 | no | — |
| 373 | C2×D43 | — | 4 | 2 | no | — |
| 374 | C2×D43 | — | 4 | 2 | no | — |
| 375 | C2×D43 | — | 4 | 2 | no | — |
| 376 | C2×D43 | — | 4 | 4 | no | — |
| 377 | C2×D43 | — | 4 | 1 | no | — |
| 378 | C2×D43 | — | 4 | 2 | no | — |
| 379 | C2×D43 | — | 8 | 2 | no | — |
| 380 | C2×D43 | — | 8 | 4 | no | — |
| 381 | C2×D43 | — | 8 | 8 | no | — |
| 382 | C2×D43 | — | 8 | 4 | no | — |
| 383 | C2×D43 | — | 8 | 2 | no | — |
| 384 | C2×D43 | — | 8 | 2 | no | — |
| 385 | C2×D43 | — | 8 | 2 | no | — |
| 386 | C2×D43 | — | 16 | 2 | no | — |
| 387 | C2×D43 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 388 | C2×D43 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 389 | C4×C43 | — | 2 | 1 | no | — |
| 390 | C4×C43 | — | 4 | 2 | no | — |
| 391 | C4×C43 | — | 4 | 1 | no | — |
| 392 | C4×C43 | — | 4 | 1 | no | — |
| 393 | C4×C43 | — | 4 | 1 | no | — |
| 394 | C4×C43 | — | 8 | 2 | no | — |
| 395 | Dic43 | — | 2 | 1 | no | — |
| 396 | Dic43 | — | 4 | 2 | no | — |
| 397 | Dic43 | — | 4 | 1 | no | — |
| 398 | Dic43 | — | 4 | 1 | no | — |
| 399 | Dic43 | — | 4 | 1 | no | — |
| 400 | Dic43 | — | 8 | 2 | no | — |
| 401 | C2×H(3,𝔽4) | — | 43 | 1 | no | — |
| 402 | C2×B(4,𝔽2) | — | 43 | 2 | no | — |
| 403 | C2×#455 | — | 43 | 1 | no | — |
| 404 | #2199 | — | 43 | 2 | no | — |
| 405 | #2199 | — | 43 | 1 | no | — |
| 406 | #2199 | — | 43 | 1 | no | — |
| 407 | #2199 | — | 43 | 2 | no | — |
| 408 | #2199 | — | 43 | 1 | no | — |
| 409 | #2199 | D43 | 1 | 1 | yes | characteristic, direct product factor |
| 410 | C2×#354 | — | 43 | 1 | no | — |
| 411 | C2×AΣL(1,𝔽16) | — | 43 | 2 | no | — |
| 412 | C2×C43 | — | 2 | 1 | no | — |
| 413 | C2×C43 | — | 4 | 2 | no | — |
| 414 | C2×C43 | — | 8 | 2 | no | — |
| 415 | C2×C43 | — | 8 | 1 | no | — |
| 416 | C2×C43 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 417 | D43 | — | 2 | 1 | no | — |
| 418 | D43 | — | 4 | 2 | no | — |
| 419 | D43 | — | 8 | 2 | no | — |
| 420 | D43 | — | 8 | 1 | no | — |
| 421 | D43 | #2199 | 1 | 2 | yes | direct product factor |
| 422 | C2×H(5,𝔽2) | — | 43 | 1 | no | — |
| 423 | C2×#137 | — | 86 | 1 | no | — |
| 424 | H(3,𝔽4) | — | 43 | 1 | no | — |
| 425 | H(3,𝔽4) | — | 43 | 2 | no | — |
| 426 | H(3,𝔽4) | — | 86 | 2 | no | — |
| 427 | H(3,𝔽4) | — | 86 | 2 | no | — |
| 428 | H(3,𝔽4) | — | 86 | 1 | no | — |
| 429 | H(3,𝔽4) | — | 86 | 1 | no | — |
| 430 | H(3,𝔽4) | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 431 | C2×#124 | — | 43 | 1 | no | — |
| 432 | C2×#124 | — | 86 | 1 | no | — |
| 433 | C2×#124 | — | 86 | 2 | no | — |
| 434 | C2×#124 | — | 86 | 1 | no | — |
| 435 | C2×#120 | — | 43 | 2 | no | — |
| 436 | C2×#120 | — | 86 | 2 | no | — |
| 437 | C2×#120 | — | 86 | 2 | no | — |
| 438 | B(4,𝔽2) | — | 43 | 2 | no | — |
| 439 | B(4,𝔽2) | — | 43 | 2 | no | — |
| 440 | B(4,𝔽2) | — | 43 | 2 | no | — |
| 441 | B(4,𝔽2) | — | 86 | 2 | no | — |
| 442 | B(4,𝔽2) | — | 86 | 2 | no | — |
| 443 | B(4,𝔽2) | C2×D43 | 1 | 2 | yes | complemented |
| 444 | #455 | — | 43 | 1 | no | — |
| 445 | #455 | — | 43 | 1 | no | — |
| 446 | #455 | — | 43 | 1 | no | — |
| 447 | #455 | — | 86 | 1 | no | — |
| 448 | #455 | — | 86 | 1 | no | — |
| 449 | #455 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 450 | C2×#104 | — | 86 | 1 | no | — |
| 451 | C2×#100 | — | 43 | 1 | no | — |
| 452 | C2×#99 | — | 43 | 2 | no | — |
| 453 | C2×#99 | — | 86 | 2 | no | — |
| 454 | #354 | — | 43 | 1 | no | — |
| 455 | #354 | — | 43 | 2 | no | — |
| 456 | #354 | C2×D43 | 1 | 1 | yes | characteristic, complemented |
| 457 | AΣL(1,𝔽16) | — | 43 | 2 | no | — |
| 458 | AΣL(1,𝔽16) | — | 43 | 2 | no | — |
| 459 | AΣL(1,𝔽16) | — | 43 | 2 | no | — |
| 460 | AΣL(1,𝔽16) | C2×D43 | 1 | 2 | yes | complemented |
| 461 | C43 | C2×#2199 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 462 | C25 | — | 43 | 2 | no | — |
| 463 | H(5,𝔽2) | — | 43 | 1 | no | — |
| 464 | H(5,𝔽2) | — | 86 | 2 | no | — |
| 465 | H(5,𝔽2) | — | 86 | 1 | no | — |
| 466 | H(5,𝔽2) | — | 172 | 1 | no | — |
| 467 | H(5,𝔽2) | — | 172 | 1 | no | — |
| 468 | H(5,𝔽2) | C22×D43 | 1 | 1 | yes | characteristic |
| 469 | C2×#41 | — | 86 | 1 | no | — |
| 470 | C2×#41 | — | 172 | 1 | no | — |
| 471 | C22×Q8 | — | 43 | 1 | no | — |
| 472 | C22×Q8 | — | 86 | 1 | no | — |
| 473 | C22×D4 | — | 43 | 1 | no | — |
| 474 | C22×D4 | — | 86 | 2 | no | — |
| 475 | C22×D4 | — | 86 | 1 | no | — |
| 476 | C22×D4 | — | 86 | 1 | no | — |
| 477 | C22×D4 | — | 86 | 2 | no | — |
| 478 | C22×D4 | — | 172 | 1 | no | — |
| 479 | C22×D4 | — | 172 | 2 | no | — |
| 480 | #137 | — | 2 | 1 | no | — |
| 481 | #137 | — | 86 | 1 | no | — |
| 482 | #137 | — | 86 | 1 | no | — |
| 483 | #137 | — | 86 | 1 | no | — |
| 484 | #137 | — | 172 | 1 | no | — |
| 485 | #137 | — | 172 | 1 | no | — |
| 486 | C2×Q16 | — | 172 | 1 | no | — |
| 487 | C2×SD16 | — | 172 | 1 | no | — |
| 488 | C2×M16 | — | 86 | 1 | no | — |
| 489 | #124 | — | 2 | 1 | no | — |
| 490 | #124 | — | 2 | 2 | no | — |
| 491 | #124 | — | 2 | 1 | no | — |
| 492 | #124 | — | 43 | 1 | no | — |
| 493 | #124 | — | 43 | 1 | no | — |
| 494 | #124 | — | 43 | 1 | no | — |
| 495 | #124 | — | 86 | 1 | no | — |
| 496 | #124 | — | 86 | 2 | no | — |
| 497 | #124 | — | 86 | 2 | no | — |
| 498 | #124 | — | 86 | 2 | no | — |
| 499 | #124 | — | 86 | 2 | no | — |
| 500 | #124 | — | 86 | 2 | no | — |
| 501 | #124 | — | 86 | 2 | no | — |
| 502 | #124 | — | 86 | 2 | no | — |
| 503 | #124 | — | 86 | 2 | no | — |
| 504 | #124 | — | 86 | 2 | no | — |
| 505 | #124 | — | 86 | 2 | no | — |
| 506 | #124 | — | 86 | 1 | no | — |
| 507 | #124 | — | 86 | 1 | no | — |
| 508 | #124 | — | 86 | 1 | no | — |
| 509 | #124 | — | 86 | 2 | no | — |
| 510 | #124 | — | 86 | 1 | no | — |
| 511 | #124 | — | 86 | 2 | no | — |
| 512 | #124 | — | 86 | 1 | no | — |
| 513 | #124 | C22×D43 | 1 | 1 | yes | characteristic |
| 514 | #120 | — | 2 | 2 | no | — |
| 515 | #120 | — | 2 | 2 | no | — |
| 516 | #120 | — | 43 | 2 | no | — |
| 517 | #120 | — | 43 | 2 | no | — |
| 518 | #120 | — | 43 | 2 | no | — |
| 519 | #120 | — | 86 | 2 | no | — |
| 520 | #120 | — | 86 | 2 | no | — |
| 521 | #120 | — | 86 | 2 | no | — |
| 522 | #120 | — | 86 | 2 | no | — |
| 523 | #120 | — | 86 | 2 | no | — |
| 524 | #120 | — | 86 | 2 | no | — |
| 525 | #120 | — | 86 | 2 | no | — |
| 526 | #120 | — | 86 | 2 | no | — |
| 527 | #120 | — | 86 | 2 | no | — |
| 528 | #120 | — | 86 | 2 | no | — |
| 529 | #120 | — | 86 | 2 | no | — |
| 530 | #120 | — | 86 | 2 | no | — |
| 531 | #120 | — | 172 | 2 | no | — |
| 532 | #120 | — | 172 | 2 | no | — |
| 533 | #120 | C22×D43 | 1 | 2 | yes | — |
| 534 | C2×C22⋊C4 | — | 43 | 2 | no | — |
| 535 | C2×C22⋊C4 | — | 86 | 2 | no | — |
| 536 | C2×C22⋊C4 | — | 86 | 2 | no | — |
| 537 | C2×C22⋊C4 | — | 86 | 2 | no | — |
| 538 | C2×C22⋊C4 | — | 86 | 2 | no | — |
| 539 | C2×C22⋊C4 | — | 86 | 2 | no | — |
| 540 | C2×C22⋊C4 | — | 172 | 2 | no | — |
| 541 | C2×C42 | — | 43 | 1 | no | — |
| 542 | C2×C42 | — | 86 | 1 | no | — |
| 543 | #104 | — | 2 | 1 | no | — |
| 544 | #104 | — | 86 | 1 | no | — |
| 545 | #104 | — | 86 | 1 | no | — |
| 546 | #104 | — | 86 | 1 | no | — |
| 547 | #100 | — | 43 | 1 | no | — |
| 548 | #100 | — | 86 | 1 | no | — |
| 549 | #100 | C22×D43 | 1 | 1 | yes | characteristic |
| 550 | #99 | — | 2 | 2 | no | — |
| 551 | #99 | — | 43 | 2 | no | — |
| 552 | #99 | — | 86 | 2 | no | — |
| 553 | #99 | — | 86 | 2 | no | — |
| 554 | #99 | — | 86 | 2 | no | — |
| 555 | #99 | — | 86 | 2 | no | — |
| 556 | #99 | C22×D43 | 1 | 2 | yes | — |
| 557 | C24 | — | 43 | 2 | no | — |
| 558 | C24 | — | 43 | 2 | no | — |
| 559 | C24 | — | 86 | 2 | no | — |
| 560 | C24 | — | 86 | 2 | no | — |
| 561 | C24 | — | 86 | 2 | no | — |
| 562 | C24 | — | 344 | 4 | no | — |
| 563 | C24 | — | 172 | 2 | no | — |
| 564 | C24 | — | 172 | 2 | no | — |
| 565 | C24 | D4×D43 | 1 | 2 | yes | complemented |
| 566 | #41 | — | 2 | 1 | no | — |
| 567 | #41 | — | 4 | 1 | no | — |
| 568 | #41 | — | 86 | 1 | no | — |
| 569 | #41 | — | 86 | 1 | no | — |
| 570 | #41 | — | 86 | 1 | no | — |
| 571 | #41 | — | 172 | 2 | no | — |
| 572 | #41 | — | 172 | 1 | no | — |
| 573 | #41 | — | 172 | 1 | no | — |
| 574 | #41 | — | 172 | 1 | no | — |
| 575 | #41 | — | 172 | 1 | no | — |
| 576 | #41 | — | 172 | 2 | no | — |
| 577 | #41 | — | 172 | 1 | no | — |
| 578 | C2×Q8 | — | 2 | 1 | no | — |
| 579 | C2×Q8 | — | 43 | 1 | no | — |
| 580 | C2×Q8 | — | 86 | 1 | no | — |
| 581 | C2×Q8 | — | 86 | 2 | no | — |
| 582 | C2×Q8 | — | 86 | 1 | no | — |
| 583 | C2×Q8 | — | 86 | 1 | no | — |
| 584 | C2×Q8 | — | 344 | 2 | no | — |
| 585 | C2×Q8 | — | 172 | 1 | no | — |
| 586 | C2×Q8 | — | 172 | 1 | no | — |
| 587 | C2×Q8 | D4×D43 | 1 | 1 | yes | characteristic, complemented |
| 588 | C2×D4 | — | 2 | 2 | no | — |
| 589 | C2×D4 | — | 2 | 1 | no | — |
| 590 | C2×D4 | — | 2 | 1 | no | — |
| 591 | C2×D4 | — | 2 | 2 | no | — |
| 592 | C2×D4 | — | 4 | 1 | no | — |
| 593 | C2×D4 | — | 4 | 2 | no | — |
| 594 | C2×D4 | — | 43 | 2 | no | — |
| 595 | C2×D4 | — | 43 | 1 | no | — |
| 596 | C2×D4 | — | 86 | 2 | no | — |
| 597 | C2×D4 | — | 86 | 1 | no | — |
| 598 | C2×D4 | — | 86 | 1 | no | — |
| 599 | C2×D4 | — | 86 | 2 | no | — |
| 600 | C2×D4 | — | 86 | 1 | no | — |
| 601 | C2×D4 | — | 86 | 2 | no | — |
| 602 | C2×D4 | — | 86 | 2 | no | — |
| 603 | C2×D4 | — | 86 | 2 | no | — |
| 604 | C2×D4 | — | 86 | 2 | no | — |
| 605 | C2×D4 | — | 86 | 2 | no | — |
| 606 | C2×D4 | — | 86 | 2 | no | — |
| 607 | C2×D4 | — | 344 | 8 | no | — |
| 608 | C2×D4 | — | 344 | 1 | no | — |
| 609 | C2×D4 | — | 344 | 1 | no | — |
| 610 | C2×D4 | — | 344 | 2 | no | — |
| 611 | C2×D4 | — | 344 | 4 | no | — |
| 612 | C2×D4 | — | 172 | 1 | no | — |
| 613 | C2×D4 | — | 172 | 2 | no | — |
| 614 | C2×D4 | — | 172 | 1 | no | — |
| 615 | C2×D4 | — | 172 | 1 | no | — |
| 616 | C2×D4 | — | 172 | 1 | no | — |
| 617 | C2×D4 | — | 172 | 1 | no | — |
| 618 | C2×D4 | — | 172 | 1 | no | — |
| 619 | C2×D4 | — | 172 | 2 | no | — |
| 620 | C2×D4 | — | 172 | 2 | no | — |
| 621 | C2×D4 | — | 172 | 2 | no | — |
| 622 | C2×D4 | — | 172 | 2 | no | — |
| 623 | C2×D4 | — | 172 | 2 | no | — |
| 624 | C2×D4 | — | 172 | 2 | no | — |
| 625 | C2×D4 | — | 172 | 2 | no | — |
| 626 | C2×D4 | C23×D43 | 1 | 1 | yes | characteristic |
| 627 | C22×C4 | — | 43 | 1 | no | — |
| 628 | C22×C4 | — | 86 | 1 | no | — |
| 629 | C22×C4 | — | 86 | 2 | no | — |
| 630 | C22×C4 | — | 86 | 1 | no | — |
| 631 | C22×C4 | — | 86 | 2 | no | — |
| 632 | C22×C4 | — | 172 | 1 | no | — |
| 633 | C22×C4 | — | 172 | 2 | no | — |
| 634 | Q16 | — | 4 | 1 | no | — |
| 635 | Q16 | — | 172 | 1 | no | — |
| 636 | Q16 | — | 172 | 1 | no | — |
| 637 | Q16 | — | 172 | 1 | no | — |
| 638 | SD16 | — | 4 | 1 | no | — |
| 639 | SD16 | — | 172 | 1 | no | — |
| 640 | SD16 | — | 172 | 1 | no | — |
| 641 | SD16 | — | 172 | 1 | no | — |
| 642 | M16 | — | 2 | 1 | no | — |
| 643 | M16 | — | 86 | 1 | no | — |
| 644 | M16 | — | 172 | 1 | no | — |
| 645 | C2×C8 | — | 172 | 1 | no | — |
| 646 | C22⋊C4 | — | 2 | 2 | no | — |
| 647 | C22⋊C4 | — | 2 | 2 | no | — |
| 648 | C22⋊C4 | — | 2 | 2 | no | — |
| 649 | C22⋊C4 | — | 2 | 2 | no | — |
| 650 | C22⋊C4 | — | 2 | 2 | no | — |
| 651 | C22⋊C4 | — | 4 | 2 | no | — |
| 652 | C22⋊C4 | — | 43 | 2 | no | — |
| 653 | C22⋊C4 | — | 86 | 2 | no | — |
| 654 | C22⋊C4 | — | 86 | 2 | no | — |
| 655 | C22⋊C4 | — | 86 | 2 | no | — |
| 656 | C22⋊C4 | — | 86 | 2 | no | — |
| 657 | C22⋊C4 | — | 86 | 2 | no | — |
| 658 | C22⋊C4 | — | 86 | 2 | no | — |
| 659 | C22⋊C4 | — | 86 | 2 | no | — |
| 660 | C22⋊C4 | — | 86 | 2 | no | — |
| 661 | C22⋊C4 | — | 86 | 2 | no | — |
| 662 | C22⋊C4 | — | 86 | 2 | no | — |
| 663 | C22⋊C4 | — | 86 | 2 | no | — |
| 664 | C22⋊C4 | — | 86 | 2 | no | — |
| 665 | C22⋊C4 | — | 86 | 2 | no | — |
| 666 | C22⋊C4 | — | 86 | 2 | no | — |
| 667 | C22⋊C4 | — | 172 | 2 | no | — |
| 668 | C22⋊C4 | — | 172 | 2 | no | — |
| 669 | C22⋊C4 | — | 172 | 2 | no | — |
| 670 | C22⋊C4 | — | 172 | 2 | no | — |
| 671 | C22⋊C4 | D4×D43 | 1 | 2 | yes | complemented |
| 672 | C42 | — | 2 | 1 | no | — |
| 673 | C42 | — | 43 | 1 | no | — |
| 674 | C42 | — | 86 | 1 | no | — |
| 675 | C42 | — | 86 | 1 | no | — |
| 676 | C42 | — | 86 | 2 | no | — |
| 677 | C42 | D4×D43 | 1 | 1 | yes | characteristic, complemented |
| 678 | C23 | — | 2 | 2 | no | — |
| 679 | C23 | — | 2 | 2 | no | — |
| 680 | C23 | — | 4 | 2 | no | — |
| 681 | C23 | — | 8 | 2 | no | — |
| 682 | C23 | — | 43 | 1 | no | — |
| 683 | C23 | — | 43 | 2 | no | — |
| 684 | C23 | — | 86 | 2 | no | — |
| 685 | C23 | — | 86 | 2 | no | — |
| 686 | C23 | — | 86 | 2 | no | — |
| 687 | C23 | — | 86 | 2 | no | — |
| 688 | C23 | — | 344 | 2 | no | — |
| 689 | C23 | — | 344 | 4 | no | — |
| 690 | C23 | — | 344 | 2 | no | — |
| 691 | C23 | — | 344 | 2 | no | — |
| 692 | C23 | — | 344 | 2 | no | — |
| 693 | C23 | — | 344 | 4 | no | — |
| 694 | C23 | — | 344 | 4 | no | — |
| 695 | C23 | — | 344 | 4 | no | — |
| 696 | C23 | — | 172 | 2 | no | — |
| 697 | C23 | — | 172 | 1 | no | — |
| 698 | C23 | — | 172 | 2 | no | — |
| 699 | C23 | — | 172 | 2 | no | — |
| 700 | C23 | — | 172 | 4 | no | — |
| 701 | C23 | — | 172 | 4 | no | — |
| 702 | C23 | — | 172 | 4 | no | — |
| 703 | C23 | — | 172 | 2 | no | — |
| 704 | C23 | — | 172 | 8 | no | — |
| 705 | C23 | C2×D4×D43 | 1 | 2 | yes | — |
| 706 | Q8 | — | 2 | 1 | no | — |
| 707 | Q8 | — | 4 | 1 | no | — |
| 708 | Q8 | — | 8 | 1 | no | — |
| 709 | Q8 | — | 86 | 1 | no | — |
| 710 | Q8 | — | 344 | 1 | no | — |
| 711 | Q8 | — | 344 | 2 | no | — |
| 712 | Q8 | — | 344 | 1 | no | — |
| 713 | Q8 | — | 172 | 1 | no | — |
| 714 | Q8 | — | 172 | 1 | no | — |
| 715 | D4 | — | 2 | 1 | no | — |
| 716 | D4 | — | 4 | 1 | no | — |
| 717 | D4 | — | 4 | 2 | no | — |
| 718 | D4 | — | 4 | 1 | no | — |
| 719 | D4 | — | 8 | 2 | no | — |
| 720 | D4 | — | 8 | 1 | no | — |
| 721 | D4 | — | 8 | 1 | no | — |
| 722 | D4 | — | 8 | 4 | no | — |
| 723 | D4 | — | 86 | 1 | no | — |
| 724 | D4 | — | 344 | 1 | no | — |
| 725 | D4 | — | 344 | 2 | no | — |
| 726 | D4 | — | 344 | 1 | no | — |
| 727 | D4 | — | 344 | 4 | no | — |
| 728 | D4 | — | 344 | 4 | no | — |
| 729 | D4 | — | 344 | 4 | no | — |
| 730 | D4 | — | 344 | 2 | no | — |
| 731 | D4 | — | 344 | 2 | no | — |
| 732 | D4 | — | 344 | 2 | no | — |
| 733 | D4 | — | 344 | 2 | no | — |
| 734 | D4 | — | 172 | 1 | no | — |
| 735 | D4 | — | 172 | 1 | no | — |
| 736 | D4 | — | 172 | 2 | no | — |
| 737 | D4 | — | 172 | 2 | no | — |
| 738 | D4 | — | 172 | 1 | no | — |
| 739 | D4 | — | 172 | 2 | no | — |
| 740 | D4 | — | 172 | 1 | no | — |
| 741 | D4 | — | 172 | 2 | no | — |
| 742 | D4 | — | 172 | 1 | no | — |
| 743 | C2×C4 | — | 2 | 2 | no | — |
| 744 | C2×C4 | — | 2 | 1 | no | — |
| 745 | C2×C4 | — | 2 | 2 | no | — |
| 746 | C2×C4 | — | 2 | 1 | no | — |
| 747 | C2×C4 | — | 4 | 1 | no | — |
| 748 | C2×C4 | — | 4 | 2 | no | — |
| 749 | C2×C4 | — | 43 | 1 | no | — |
| 750 | C2×C4 | — | 86 | 1 | no | — |
| 751 | C2×C4 | — | 86 | 1 | no | — |
| 752 | C2×C4 | — | 86 | 2 | no | — |
| 753 | C2×C4 | — | 86 | 1 | no | — |
| 754 | C2×C4 | — | 86 | 2 | no | — |
| 755 | C2×C4 | — | 86 | 1 | no | — |
| 756 | C2×C4 | — | 344 | 4 | no | — |
| 757 | C2×C4 | — | 172 | 1 | no | — |
| 758 | C2×C4 | — | 172 | 1 | no | — |
| 759 | C2×C4 | — | 172 | 1 | no | — |
| 760 | C2×C4 | — | 172 | 1 | no | — |
| 761 | C2×C4 | — | 172 | 1 | no | — |
| 762 | C2×C4 | — | 172 | 2 | no | — |
| 763 | C2×C4 | — | 172 | 4 | no | — |
| 764 | C2×C4 | — | 172 | 2 | no | — |
| 765 | C2×C4 | — | 172 | 1 | no | — |
| 766 | C2×C4 | — | 172 | 2 | no | — |
| 767 | C2×C4 | C2×D4×D43 | 1 | 1 | yes | characteristic |
| 768 | C8 | — | 4 | 1 | no | — |
| 769 | C8 | — | 172 | 1 | no | — |
| 770 | C22 | — | 2 | 2 | no | — |
| 771 | C22 | — | 4 | 2 | no | — |
| 772 | C22 | — | 4 | 2 | no | — |
| 773 | C22 | — | 4 | 2 | no | — |
| 774 | C22 | — | 4 | 4 | no | — |
| 775 | C22 | — | 4 | 1 | no | — |
| 776 | C22 | — | 4 | 2 | no | — |
| 777 | C22 | — | 8 | 2 | no | — |
| 778 | C22 | — | 8 | 2 | no | — |
| 779 | C22 | — | 43 | 1 | no | — |
| 780 | C22 | — | 43 | 1 | no | — |
| 781 | C22 | — | 86 | 2 | no | — |
| 782 | C22 | — | 86 | 2 | no | — |
| 783 | C22 | — | 344 | 2 | no | — |
| 784 | C22 | — | 344 | 2 | no | — |
| 785 | C22 | — | 344 | 2 | no | — |
| 786 | C22 | — | 344 | 2 | no | — |
| 787 | C22 | — | 344 | 4 | no | — |
| 788 | C22 | — | 344 | 4 | no | — |
| 789 | C22 | — | 344 | 8 | no | — |
| 790 | C22 | — | 172 | 2 | no | — |
| 791 | C22 | — | 172 | 2 | no | — |
| 792 | C22 | — | 172 | 2 | no | — |
| 793 | C22 | — | 172 | 4 | no | — |
| 794 | C22 | — | 172 | 4 | no | — |
| 795 | C22 | — | 172 | 1 | no | — |
| 796 | C22 | — | 172 | 2 | no | — |
| 797 | C22 | — | 688 | 2 | no | — |
| 798 | C22 | #120×D43 | 1 | 1 | yes | characteristic |
| 799 | C4 | — | 2 | 1 | no | — |
| 800 | C4 | — | 4 | 2 | no | — |
| 801 | C4 | — | 4 | 1 | no | — |
| 802 | C4 | — | 4 | 1 | no | — |
| 803 | C4 | — | 4 | 1 | no | — |
| 804 | C4 | — | 8 | 2 | no | — |
| 805 | C4 | — | 86 | 1 | no | — |
| 806 | C4 | — | 344 | 2 | no | — |
| 807 | C4 | — | 172 | 1 | no | — |
| 808 | C4 | — | 172 | 2 | no | — |
| 809 | C4 | — | 172 | 1 | no | — |
| 810 | C4 | — | 172 | 1 | no | — |
| 811 | C2 | — | 2 | 1 | no | — |
| 812 | C2 | — | 4 | 2 | no | — |
| 813 | C2 | — | 8 | 2 | no | — |
| 814 | C2 | — | 8 | 1 | no | — |
| 815 | C2 | — | 43 | 2 | no | — |
| 816 | C2 | — | 86 | 1 | no | — |
| 817 | C2 | — | 344 | 2 | no | — |
| 818 | C2 | — | 344 | 1 | no | — |
| 819 | C2 | — | 172 | 2 | no | — |
| 820 | C2 | B(4,𝔽2)×D43 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. H(3,𝔽4)×D43 | C2 | semidirect |
| 2. B(4,𝔽2)×D43 | C2 | semidirect |
| 3. #455×D43 | C2 | semidirect |
| 4. #19136598 | C2 | semidirect |
| 5. #19136597 | C2 | semidirect |
| 6. #19136596 | C2 | semidirect |
| 7. #19136595 | C2 | semidirect |
| 8. #19136594 | C2 | semidirect |
| 9. #354×D43 | C2 | semidirect |
| 10. AΣL(1,𝔽16)×D43 | C2 | semidirect |
| 11. C43×#2199 | C2 | semidirect |
| 15. #14583642 | C22 | semidirect |
| 19. #14583641 | C22 | semidirect |
| 28. #14583087 | C22 | semidirect |
| 29. #14583086 | C22 | semidirect |
| 31. #14583085 | C22 | semidirect |
| 32. #14583079 | C22 | semidirect |
| 34. #14583077 | C22 | semidirect |
| 35. #14583076 | C22 | semidirect |
| 41. #14582694 | C22 | semidirect |
| 42. #14582693 | C22 | semidirect |
| 43. #14582687 | C22 | semidirect |
| 44. #14582686 | C22 | semidirect |
| 45. #14582685 | C22 | semidirect |
| 46. C43×H(3,𝔽4) | C22 | semidirect |
| 47. C43×B(4,𝔽2) | C22 | semidirect |
| 48. C43×#455 | C22 | semidirect |
| 49. C43×#354 | C22 | semidirect |
| 50. C43×AΣL(1,𝔽16) | C22 | semidirect |
| 51. C24×D43 | D4 | semidirect |
| 60. C2×Q8×D43 | D4 | semidirect |
| 79. #13063314 | D4 | semidirect |
| 83. #13063313 | D4 | semidirect |
| 103. #13063295 | D4 | semidirect |
| 106. #13063294 | D4 | semidirect |
| 120. C22⋊C4×D43 | D4 | semidirect |
| 122. C42×D43 | D4 | semidirect |
| 146. C24×C43 | C2×D4 | semidirect |
| 154. C23×D43 | C2×D4 | semidirect |
| 158. C2×Q8×C43 | C2×D4 | semidirect |
| 222. C2×Dic86 | C2×D4 | semidirect |
| 232. C22⋊C4×C43 | C2×D4 | semidirect |
| 234. C42×C43 | C2×D4 | semidirect |
| 241. C22⋊Dic43 | C2×D4 | semidirect |
| 261. C4×Dic43 | C2×D4 | semidirect |
| 409. #2199 | D43 | direct (N × H) |
| 421. D43 | #2199 | direct (N × H) |
| 430. H(3,𝔽4) | C2×D43 | semidirect |
| 443. B(4,𝔽2) | C2×D43 | semidirect |
| 449. #455 | C2×D43 | semidirect |
| 456. #354 | C2×D43 | semidirect |
| 460. AΣL(1,𝔽16) | C2×D43 | semidirect |
| 461. C43 | C2×#2199 | semidirect |
| 565. C24 | D4×D43 | semidirect |
| 587. C2×Q8 | D4×D43 | semidirect |
| 671. C22⋊C4 | D4×D43 | semidirect |
| 677. C42 | D4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| H(3,𝔽4)×D43 | 2 |
| B(4,𝔽2)×D43 | 2 |
| #455×D43 | 2 |
| #19136598 | 2 |
| #19136597 | 2 |
| #19136596 | 2 |
| #19136595 | 2 |
| #19136594 | 2 |
| #354×D43 | 2 |
| AΣL(1,𝔽16)×D43 | 2 |
| C43×#2199 | 2 |
| C2×#2199 | 43 |