← #72319707
Subgroups — #72319707
Order 2048.
Only the 62646 normal subgroups are shown; non-normal subgroups are omitted.
The subgroup lattice has 381 nodes (normal subgroups only) — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72319614 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72319553 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72319485 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #72319329 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72319182 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72318884 | C2 | 1 | 30 | yes | maximal, complemented |
| 7 | #72318869 | C2 | 1 | 30 | yes | maximal, complemented |
| 8 | #72286611 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72286071 | C2 | 1 | 30 | yes | maximal, complemented |
| 10 | #72280959 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C2×#7622637 | C2 | 1 | 30 | yes | maximal, complemented |
| 12 | #10587001 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#63091 | C22 | 1 | 1 | yes | characteristic |
| 14 | #10585861 | C4 | 1 | 32 | yes | complemented |
| 15 | #10585860 | C4 | 1 | 32 | yes | complemented |
| 16 | #10585859 | C22 | 1 | 30 | yes | — |
| 17 | C2×#62636 | C22 | 1 | 30 | yes | — |
| 18 | #10585848 | C22 | 1 | 1 | yes | characteristic |
| 19 | #10585848 | C22 | 1 | 1 | yes | characteristic |
| 20 | #10574180 | C22 | 1 | 15 | yes | complemented |
| 21 | #10574176 | C22 | 1 | 30 | yes | complemented |
| 22 | #10574175 | C22 | 1 | 15 | yes | complemented |
| 23 | #10574171 | C22 | 1 | 15 | yes | complemented |
| 24 | C2×#60176 | C22 | 1 | 15 | yes | complemented |
| 25 | C2×#60184 | C22 | 1 | 30 | yes | complemented |
| 26 | #10574097 | C22 | 1 | 1 | yes | characteristic |
| 27 | #10574096 | C22 | 1 | 1 | yes | characteristic |
| 28 | #10574037 | C22 | 1 | 1 | yes | characteristic |
| 29 | #7622637 | C22 | 1 | 240 | yes | complemented |
| 30 | #7622637 | C22 | 1 | 480 | yes | complemented |
| 31 | #7622637 | C22 | 1 | 240 | yes | complemented |
| 32 | #7622636 | C22 | 1 | 80 | yes | complemented |
| 33 | #7622636 | C22 | 1 | 240 | yes | complemented |
| 34 | #7622635 | C22 | 1 | 360 | yes | complemented |
| 35 | C2×#33471 | C22 | 1 | 180 | yes | complemented |
| 36 | C2×#33469 | C22 | 1 | 180 | yes | complemented |
| 37 | C2×#33468 | C22 | 1 | 180 | yes | complemented |
| 38 | C22×AGL(1,ℤ/16) | C22 | 1 | 60 | yes | complemented |
| 39 | #7622528 | C22 | 1 | 30 | yes | complemented |
| 40 | C2×#33404 | C22 | 1 | 30 | yes | complemented |
| 41 | #7622513 | C22 | 1 | 30 | yes | complemented |
| 42 | C2×#33392 | C22 | 1 | 30 | yes | complemented |
| 43 | #7622507 | C22 | 1 | 30 | yes | complemented |
| 44 | C2×#33388 | C22 | 1 | 30 | yes | complemented |
| 45 | #7622423 | C22 | 1 | 30 | yes | complemented |
| 46 | C2×#33329 | C22 | 1 | 30 | yes | complemented |
| 47 | #63093 | C2×C4 | 1 | 16 | yes | complemented |
| 48 | #63091 | C2×C4 | 1 | 32 | yes | — |
| 49 | #63091 | C2×C4 | 1 | 16 | yes | complemented |
| 50 | C2×#3584 | C23 | 1 | 15 | yes | — |
| 51 | C2×#3584 | C23 | 1 | 30 | yes | — |
| 52 | C22×#576 | C23 | 1 | 15 | yes | — |
| 53 | C2×#3573 | D4 | 1 | 1 | yes | characteristic |
| 54 | C2×#3573 | C23 | 1 | 1 | yes | characteristic |
| 55 | C4×#585 | D4 | 1 | 1 | yes | characteristic |
| 56 | #62637 | C2×C4 | 1 | 240 | yes | complemented |
| 57 | #62637 | C23 | 1 | 80 | yes | — |
| 58 | #62636 | C2×C4 | 1 | 240 | yes | complemented |
| 59 | #62636 | C2×C4 | 1 | 480 | yes | complemented |
| 60 | #62636 | C23 | 1 | 240 | yes | — |
| 61 | #62635 | C2×C4 | 1 | 480 | yes | complemented |
| 62 | C2×#3416 | C2×C4 | 1 | 240 | yes | complemented |
| 63 | C2×#3415 | C2×C4 | 1 | 240 | yes | complemented |
| 64 | C2×#3414 | C23 | 1 | 180 | yes | — |
| 65 | C22×#509 | C23 | 1 | 60 | yes | — |
| 66 | #62624 | C2×C4 | 1 | 32 | yes | complemented |
| 67 | C2×#3407 | C23 | 1 | 30 | yes | — |
| 68 | C2×#3407 | C23 | 1 | 30 | yes | — |
| 69 | #60184 | C23 | 1 | 80 | yes | complemented |
| 70 | #60184 | C23 | 1 | 240 | yes | complemented |
| 71 | C2×#2957 | C23 | 1 | 180 | yes | complemented |
| 72 | C22×#444 | C23 | 1 | 60 | yes | complemented |
| 73 | #60176 | C23 | 1 | 60 | yes | complemented |
| 74 | #60176 | C23 | 1 | 120 | yes | complemented |
| 75 | #60176 | C23 | 1 | 60 | yes | complemented |
| 76 | #60175 | C23 | 1 | 20 | yes | complemented |
| 77 | #60175 | C23 | 1 | 60 | yes | complemented |
| 78 | #60167 | C23 | 1 | 90 | yes | complemented |
| 79 | C2×#2952 | C23 | 1 | 45 | yes | complemented |
| 80 | C2×#2948 | C23 | 1 | 45 | yes | complemented |
| 81 | C2×#2943 | C23 | 1 | 45 | yes | complemented |
| 82 | C22×#442 | C23 | 1 | 15 | yes | complemented |
| 83 | C2×#2916 | C23 | 1 | 30 | yes | — |
| 84 | #60108 | C23 | 1 | 15 | yes | — |
| 85 | C2×#2912 | C23 | 1 | 15 | yes | — |
| 86 | #60058 | D4 | 1 | 15 | yes | — |
| 87 | #60058 | C23 | 1 | 15 | yes | — |
| 88 | C4×#568 | D4 | 1 | 15 | yes | — |
| 89 | C2×#2875 | C23 | 1 | 15 | yes | — |
| 90 | #33471 | C23 | 1 | 1440 | yes | complemented |
| 91 | #33470 | C23 | 1 | 480 | yes | complemented |
| 92 | #33469 | C23 | 1 | 1440 | yes | complemented |
| 93 | #33469 | C23 | 1 | 480 | yes | complemented |
| 94 | #33468 | C23 | 1 | 480 | yes | complemented |
| 95 | #33468 | C23 | 1 | 1440 | yes | complemented |
| 96 | C2×AGL(1,ℤ/16) | C23 | 1 | 360 | yes | complemented |
| 97 | C2×AGL(1,ℤ/16) | C23 | 1 | 720 | yes | complemented |
| 98 | C2×AGL(1,ℤ/16) | C23 | 1 | 360 | yes | complemented |
| 99 | C2×#2180 | C23 | 1 | 120 | yes | complemented |
| 100 | C2×#2180 | C23 | 1 | 360 | yes | complemented |
| 101 | #33404 | C23 | 1 | 240 | yes | complemented |
| 102 | #33404 | C23 | 1 | 80 | yes | complemented |
| 103 | C2×#2155 | C23 | 1 | 180 | yes | complemented |
| 104 | C22×#365 | C23 | 1 | 60 | yes | complemented |
| 105 | #33393 | C23 | 1 | 80 | yes | complemented |
| 106 | #33392 | C23 | 1 | 240 | yes | complemented |
| 107 | C2×#2148 | C23 | 1 | 180 | yes | complemented |
| 108 | C22×#361 | C23 | 1 | 60 | yes | complemented |
| 109 | #33388 | C23 | 1 | 240 | yes | complemented |
| 110 | #33388 | C23 | 1 | 80 | yes | complemented |
| 111 | C2×#2145 | C23 | 1 | 180 | yes | complemented |
| 112 | C22×#360 | C23 | 1 | 60 | yes | complemented |
| 113 | #33329 | C23 | 1 | 80 | yes | complemented |
| 114 | #33329 | C23 | 1 | 240 | yes | complemented |
| 115 | C2×#2110 | C23 | 1 | 180 | yes | complemented |
| 116 | C22×#347 | C23 | 1 | 60 | yes | complemented |
| 117 | C2×#585 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | #3584 | C22×C4 | 1 | 240 | yes | — |
| 119 | #3584 | C22×C4 | 1 | 240 | yes | complemented |
| 120 | #3584 | C24 | 1 | 80 | yes | — |
| 121 | C2×#578 | C22×C4 | 1 | 120 | yes | complemented |
| 122 | C2×#578 | C24 | 1 | 20 | yes | — |
| 123 | C2×#576 | C22×C4 | 1 | 240 | yes | — |
| 124 | C2×#576 | C22×C4 | 1 | 120 | yes | complemented |
| 125 | C2×#576 | C24 | 1 | 60 | yes | — |
| 126 | C22×#135 | C24 | 1 | 60 | yes | — |
| 127 | C22×#135 | C24 | 1 | 45 | yes | — |
| 128 | C23×D8 | C24 | 1 | 15 | yes | — |
| 129 | #3573 | C22×C4 | 1 | 16 | yes | — |
| 130 | #3573 | #41 | 1 | 16 | yes | — |
| 131 | C2×#568 | C2×D4 | 1 | 15 | yes | — |
| 132 | C2×#568 | C2×D4 | 1 | 15 | yes | — |
| 133 | C22×#131 | C2×D4 | 1 | 15 | yes | — |
| 134 | C22×#131 | C24 | 1 | 15 | yes | — |
| 135 | #3428 | C2×D4 | 1 | 15 | yes | — |
| 136 | C2×C4×#41 | C2×D4 | 1 | 15 | yes | — |
| 137 | #3417 | C22×C4 | 1 | 640 | yes | complemented |
| 138 | #3416 | C22×C4 | 1 | 1920 | yes | complemented |
| 139 | #3416 | C22×C4 | 1 | 640 | yes | complemented |
| 140 | #3415 | C22×C4 | 1 | 1920 | yes | complemented |
| 141 | #3414 | C22×C4 | 1 | 1440 | yes | complemented |
| 142 | #3414 | C24 | 1 | 480 | yes | — |
| 143 | C2×#510 | C22×C4 | 1 | 360 | yes | complemented |
| 144 | C2×#510 | C24 | 1 | 120 | yes | — |
| 145 | C2×#509 | C22×C4 | 1 | 720 | yes | complemented |
| 146 | C2×#509 | C22×C4 | 1 | 360 | yes | complemented |
| 147 | C2×#509 | C24 | 1 | 360 | yes | — |
| 148 | C2×#508 | C22×C4 | 1 | 720 | yes | complemented |
| 149 | C22×SD32 | C22×C4 | 1 | 120 | yes | complemented |
| 150 | C22×D16 | C22×C4 | 1 | 120 | yes | complemented |
| 151 | #3407 | C22×C4 | 1 | 240 | yes | complemented |
| 152 | #3407 | C24 | 1 | 80 | yes | — |
| 153 | #3407 | C24 | 1 | 80 | yes | — |
| 154 | C2×#504 | C22×C4 | 1 | 240 | yes | complemented |
| 155 | C22×M32 | C24 | 1 | 60 | yes | — |
| 156 | C22×M32 | C24 | 1 | 60 | yes | — |
| 157 | #2957 | C24 | 1 | 480 | yes | — |
| 158 | C2×#444 | C24 | 1 | 120 | yes | — |
| 159 | C2×#444 | C24 | 1 | 360 | yes | — |
| 160 | #2952 | C24 | 1 | 180 | yes | — |
| 161 | #2952 | C24 | 1 | 60 | yes | — |
| 162 | #2950 | C24 | 1 | 60 | yes | — |
| 163 | #2948 | C24 | 1 | 180 | yes | — |
| 164 | #2943 | C24 | 1 | 180 | yes | — |
| 165 | #2943 | C24 | 1 | 60 | yes | — |
| 166 | C2×#442 | C24 | 1 | 45 | yes | — |
| 167 | C2×#442 | C24 | 1 | 90 | yes | — |
| 168 | C2×#442 | C24 | 1 | 45 | yes | — |
| 169 | C2×#441 | C24 | 1 | 45 | yes | — |
| 170 | C2×#441 | C24 | 1 | 15 | yes | — |
| 171 | #2916 | C24 | 1 | 80 | yes | — |
| 172 | C22×#108 | C24 | 1 | 60 | yes | — |
| 173 | #2912 | C24 | 1 | 60 | yes | — |
| 174 | #2912 | C24 | 1 | 20 | yes | — |
| 175 | C2×#427 | C24 | 1 | 45 | yes | — |
| 176 | C22×#106 | C24 | 1 | 15 | yes | — |
| 177 | #2875 | C2×D4 | 1 | 60 | yes | — |
| 178 | #2875 | C2×D4 | 1 | 60 | yes | — |
| 179 | #2875 | C24 | 1 | 20 | yes | — |
| 180 | #2875 | C24 | 1 | 60 | yes | — |
| 181 | C4×#131 | C2×D4 | 1 | 120 | yes | — |
| 182 | #2873 | C2×D4 | 1 | 90 | yes | — |
| 183 | C2×#405 | C2×D4 | 1 | 45 | yes | — |
| 184 | C2×#405 | C24 | 1 | 45 | yes | — |
| 185 | C2×C4×M16 | C2×D4 | 1 | 45 | yes | — |
| 186 | C22×#97 | C24 | 1 | 15 | yes | — |
| 187 | AGL(1,ℤ/16) | C24 | 1 | 160 | yes | — |
| 188 | AGL(1,ℤ/16) | C24 | 1 | 1440 | yes | — |
| 189 | AGL(1,ℤ/16) | C24 | 1 | 960 | yes | — |
| 190 | #2180 | C24 | 1 | 96 | yes | — |
| 191 | #2180 | C24 | 1 | 960 | yes | — |
| 192 | #2180 | C24 | 1 | 480 | yes | — |
| 193 | #2155 | C24 | 1 | 480 | yes | — |
| 194 | C2×#365 | C24 | 1 | 360 | yes | — |
| 195 | C2×#365 | C24 | 1 | 120 | yes | — |
| 196 | #2148 | C24 | 1 | 480 | yes | — |
| 197 | C2×#362 | C24 | 1 | 120 | yes | — |
| 198 | C2×#361 | C24 | 1 | 360 | yes | — |
| 199 | #2145 | C24 | 1 | 480 | yes | — |
| 200 | C2×#360 | C24 | 1 | 360 | yes | — |
| 201 | C2×#360 | C24 | 1 | 120 | yes | — |
| 202 | #2110 | C24 | 1 | 480 | yes | — |
| 203 | C2×#347 | C24 | 1 | 120 | yes | — |
| 204 | C2×#347 | C24 | 1 | 360 | yes | — |
| 205 | #585 | C4×D4 | 1 | 16 | yes | — |
| 206 | #585 | AGL(1,ℤ/8) | 1 | 16 | yes | — |
| 207 | C2×2−1+4 | AGL(1,ℤ/8) | 1 | 6 | yes | — |
| 208 | C2×H(5,𝔽2) | AGL(1,ℤ/8) | 1 | 10 | yes | — |
| 209 | C22×#41 | C22×D4 | 1 | 15 | yes | — |
| 210 | #578 | C23×C4 | 1 | 160 | yes | — |
| 211 | #578 | C23×C4 | 1 | 320 | yes | complemented |
| 212 | #576 | C23×C4 | 1 | 480 | yes | — |
| 213 | #576 | C23×C4 | 1 | 320 | yes | complemented |
| 214 | C2×#135 | C23×C4 | 1 | 360 | yes | — |
| 215 | C2×#135 | C23×C4 | 1 | 360 | yes | complemented |
| 216 | C2×#135 | C25 | 1 | 120 | yes | — |
| 217 | C2×#135 | C25 | 1 | 60 | yes | — |
| 218 | C22×Q16 | C23×C4 | 1 | 60 | yes | complemented |
| 219 | C22×Q16 | C25 | 1 | 15 | yes | — |
| 220 | C22×D8 | C23×C4 | 1 | 120 | yes | — |
| 221 | C22×D8 | C23×C4 | 1 | 60 | yes | complemented |
| 222 | C22×D8 | C25 | 1 | 45 | yes | — |
| 223 | #568 | C4×D4 | 1 | 240 | yes | — |
| 224 | C2×#131 | C23×C4 | 1 | 120 | yes | — |
| 225 | C2×#131 | C22×D4 | 1 | 60 | yes | — |
| 226 | C2×#131 | C22×D4 | 1 | 60 | yes | — |
| 227 | C2×#131 | C22×D4 | 1 | 20 | yes | — |
| 228 | C2×#131 | C2×#41 | 1 | 120 | yes | — |
| 229 | C2×#131 | C25 | 1 | 20 | yes | — |
| 230 | C22×M16 | C22×D4 | 1 | 45 | yes | — |
| 231 | C22×M16 | C22×D4 | 1 | 45 | yes | — |
| 232 | C23×C8 | C22×D4 | 1 | 15 | yes | — |
| 233 | C23×C8 | C25 | 1 | 15 | yes | — |
| 234 | C4×#41 | C22×D4 | 1 | 60 | yes | — |
| 235 | C4×#41 | C22×D4 | 1 | 20 | yes | — |
| 236 | C2×#117 | C22×D4 | 1 | 45 | yes | — |
| 237 | C22×C42 | C22×D4 | 1 | 15 | yes | — |
| 238 | #510 | C23×C4 | 1 | 960 | yes | complemented |
| 239 | #510 | C23×C4 | 1 | 480 | yes | complemented |
| 240 | #510 | C25 | 1 | 96 | yes | — |
| 241 | #509 | C23×C4 | 1 | 1440 | yes | complemented |
| 242 | #509 | C23×C4 | 1 | 960 | yes | complemented |
| 243 | #509 | C25 | 1 | 160 | yes | — |
| 244 | #508 | C23×C4 | 1 | 1920 | yes | complemented |
| 245 | C2×Q32 | C23×C4 | 1 | 240 | yes | complemented |
| 246 | C2×SD32 | C23×C4 | 1 | 720 | yes | complemented |
| 247 | C2×SD32 | C23×C4 | 1 | 240 | yes | complemented |
| 248 | C2×D16 | C23×C4 | 1 | 720 | yes | complemented |
| 249 | #504 | C23×C4 | 1 | 640 | yes | complemented |
| 250 | C2×M32 | C23×C4 | 1 | 360 | yes | complemented |
| 251 | C2×M32 | C25 | 1 | 120 | yes | — |
| 252 | C2×M32 | C25 | 1 | 120 | yes | — |
| 253 | C22×C16 | C23×C4 | 1 | 120 | yes | complemented |
| 254 | #444 | C25 | 1 | 16 | yes | — |
| 255 | #444 | C25 | 1 | 240 | yes | — |
| 256 | #442 | C25 | 1 | 10 | yes | — |
| 257 | #442 | C25 | 1 | 90 | yes | — |
| 258 | #442 | C25 | 1 | 60 | yes | — |
| 259 | #441 | C25 | 1 | 6 | yes | — |
| 260 | #441 | C25 | 1 | 60 | yes | — |
| 261 | #441 | C25 | 1 | 30 | yes | — |
| 262 | C2×#108 | C25 | 1 | 120 | yes | — |
| 263 | #427 | C25 | 1 | 60 | yes | — |
| 264 | C2×#106 | C25 | 1 | 45 | yes | — |
| 265 | C2×#106 | C25 | 1 | 15 | yes | — |
| 266 | #405 | C22×D4 | 1 | 60 | yes | — |
| 267 | #405 | C22×D4 | 1 | 180 | yes | — |
| 268 | #405 | C22×D4 | 1 | 180 | yes | — |
| 269 | #405 | C25 | 1 | 60 | yes | — |
| 270 | C4×M16 | C22×D4 | 1 | 60 | yes | — |
| 271 | C4×M16 | C22×D4 | 1 | 180 | yes | — |
| 272 | C2×#97 | C22×D4 | 1 | 45 | yes | — |
| 273 | C2×#97 | C22×D4 | 1 | 45 | yes | — |
| 274 | C2×#97 | C25 | 1 | 15 | yes | — |
| 275 | C2×#97 | C25 | 1 | 45 | yes | — |
| 276 | C2×C4×C8 | C22×D4 | 1 | 90 | yes | — |
| 277 | #365 | C25 | 1 | 160 | yes | — |
| 278 | #365 | C25 | 1 | 96 | yes | — |
| 279 | #362 | C25 | 1 | 96 | yes | — |
| 280 | #361 | C25 | 1 | 160 | yes | — |
| 281 | #360 | C25 | 1 | 160 | yes | — |
| 282 | #360 | C25 | 1 | 96 | yes | — |
| 283 | #347 | C25 | 1 | 16 | yes | — |
| 284 | #347 | C25 | 1 | 240 | yes | — |
| 285 | 2−1+4 | #442 | 1 | 96 | yes | — |
| 286 | H(5,𝔽2) | #442 | 1 | 160 | yes | — |
| 287 | C2×#41 | C2×C4×D4 | 1 | 120 | yes | — |
| 288 | C2×#41 | C2×AGL(1,ℤ/8) | 1 | 120 | yes | — |
| 289 | C2×#41 | C2×AGL(1,ℤ/8) | 1 | 60 | yes | — |
| 290 | C2×#41 | C23×D4 | 1 | 20 | yes | — |
| 291 | C22×Q8 | C2×AGL(1,ℤ/8) | 1 | 15 | yes | — |
| 292 | C22×D4 | C2×AGL(1,ℤ/8) | 1 | 45 | yes | — |
| 293 | C23×C4 | C23×D4 | 1 | 15 | yes | — |
| 294 | #135 | C24×C4 | 1 | 240 | yes | — |
| 295 | #135 | C24×C4 | 1 | 240 | yes | — |
| 296 | #135 | C26 | 1 | 16 | yes | — |
| 297 | C2×Q16 | C24×C4 | 1 | 120 | yes | — |
| 298 | C2×Q16 | C24×C4 | 1 | 60 | yes | — |
| 299 | C2×Q16 | C26 | 1 | 6 | yes | — |
| 300 | C2×D8 | C24×C4 | 1 | 180 | yes | — |
| 301 | C2×D8 | C24×C4 | 1 | 120 | yes | — |
| 302 | C2×D8 | C26 | 1 | 10 | yes | — |
| 303 | #131 | C2×C4×D4 | 1 | 480 | yes | — |
| 304 | #131 | C24×C4 | 1 | 80 | yes | — |
| 305 | #131 | C22×#41 | 1 | 80 | yes | — |
| 306 | C2×M16 | C2×C4×D4 | 1 | 360 | yes | — |
| 307 | C2×M16 | C23×D4 | 1 | 60 | yes | — |
| 308 | C2×M16 | C23×D4 | 1 | 60 | yes | — |
| 309 | C22×C8 | C24×C4 | 1 | 60 | yes | — |
| 310 | C22×C8 | C23×D4 | 1 | 45 | yes | — |
| 311 | C22×C8 | C23×D4 | 1 | 15 | yes | — |
| 312 | C22×C8 | C23×D4 | 1 | 45 | yes | — |
| 313 | C22×C8 | C22×#41 | 1 | 60 | yes | — |
| 314 | C22×C8 | C26 | 1 | 15 | yes | — |
| 315 | #117 | C23×D4 | 1 | 60 | yes | — |
| 316 | C2×C42 | C23×D4 | 1 | 45 | yes | — |
| 317 | C2×C42 | C23×D4 | 1 | 15 | yes | — |
| 318 | Q32 | C24×C4 | 1 | 192 | yes | — |
| 319 | SD32 | C24×C4 | 1 | 320 | yes | — |
| 320 | SD32 | C24×C4 | 1 | 192 | yes | — |
| 321 | D16 | C24×C4 | 1 | 320 | yes | — |
| 322 | M32 | C24×C4 | 1 | 240 | yes | — |
| 323 | M32 | C26 | 1 | 16 | yes | — |
| 324 | M32 | C26 | 1 | 16 | yes | — |
| 325 | C2×C16 | C24×C4 | 1 | 240 | yes | — |
| 326 | #108 | C26 | 1 | 16 | yes | — |
| 327 | #106 | C26 | 1 | 10 | yes | — |
| 328 | #106 | C26 | 1 | 6 | yes | — |
| 329 | #97 | C23×D4 | 1 | 15 | yes | — |
| 330 | #97 | C23×D4 | 1 | 15 | yes | — |
| 331 | #97 | C23×D4 | 1 | 90 | yes | — |
| 332 | #97 | C26 | 1 | 1 | yes | characteristic |
| 333 | #97 | C26 | 1 | 15 | yes | — |
| 334 | C4×C8 | C23×D4 | 1 | 120 | yes | — |
| 335 | C24 | C22×AGL(1,ℤ/8) | 1 | 15 | yes | — |
| 336 | #41 | C2×#442 | 1 | 480 | yes | — |
| 337 | #41 | C22×C4×D4 | 1 | 80 | yes | — |
| 338 | #41 | C22×AGL(1,ℤ/8) | 1 | 80 | yes | — |
| 339 | C2×Q8 | C2×#442 | 1 | 120 | yes | — |
| 340 | C2×Q8 | C22×AGL(1,ℤ/8) | 1 | 20 | yes | — |
| 341 | C2×D4 | C2×#442 | 1 | 360 | yes | — |
| 342 | C2×D4 | C22×AGL(1,ℤ/8) | 1 | 60 | yes | — |
| 343 | C22×C4 | C22×C4×D4 | 1 | 60 | yes | — |
| 344 | C22×C4 | C22×AGL(1,ℤ/8) | 1 | 60 | yes | — |
| 345 | C22×C4 | C22×AGL(1,ℤ/8) | 1 | 45 | yes | — |
| 346 | C22×C4 | C24×D4 | 1 | 15 | yes | — |
| 347 | Q16 | C25×C4 | 1 | 16 | yes | — |
| 348 | Q16 | C25×C4 | 1 | 12 | yes | — |
| 349 | D8 | C25×C4 | 1 | 16 | yes | — |
| 350 | D8 | C25×C4 | 1 | 20 | yes | — |
| 351 | M16 | C22×C4×D4 | 1 | 240 | yes | — |
| 352 | C2×C8 | C22×C4×D4 | 1 | 180 | yes | — |
| 353 | C2×C8 | C25×C4 | 1 | 30 | yes | — |
| 354 | C2×C8 | C24×D4 | 1 | 15 | yes | — |
| 355 | C2×C8 | C24×D4 | 1 | 15 | yes | — |
| 356 | C2×C8 | C24×D4 | 1 | 1 | yes | characteristic |
| 357 | C2×C8 | C23×#41 | 1 | 30 | yes | — |
| 358 | C2×C8 | C27 | 1 | 1 | yes | characteristic |
| 359 | C42 | C24×D4 | 1 | 15 | yes | — |
| 360 | C42 | C24×D4 | 1 | 1 | yes | characteristic |
| 361 | C16 | C25×C4 | 1 | 32 | yes | — |
| 362 | C23 | C22×#442 | 1 | 60 | yes | — |
| 363 | C23 | C23×AGL(1,ℤ/8) | 1 | 15 | yes | — |
| 364 | Q8 | C22×#442 | 1 | 80 | yes | — |
| 365 | D4 | C22×#442 | 1 | 240 | yes | — |
| 366 | C2×C4 | C22×#442 | 1 | 180 | yes | — |
| 367 | C2×C4 | C23×C4×D4 | 1 | 30 | yes | — |
| 368 | C2×C4 | C23×AGL(1,ℤ/8) | 1 | 15 | yes | — |
| 369 | C2×C4 | C23×AGL(1,ℤ/8) | 1 | 30 | yes | — |
| 370 | C2×C4 | C25×D4 | 1 | 1 | yes | characteristic |
| 371 | C8 | C23×C4×D4 | 1 | 30 | yes | — |
| 372 | C8 | C26×C4 | 1 | 1 | yes | characteristic |
| 373 | C8 | C24×#41 | 1 | 1 | yes | characteristic |
| 374 | C22 | C23×#442 | 1 | 30 | yes | — |
| 375 | C22 | C24×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 376 | C4 | C23×#442 | 1 | 30 | yes | — |
| 377 | C4 | C24×C4×D4 | 1 | 1 | yes | characteristic |
| 378 | C4 | C24×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 379 | C2 | C24×#442 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta