Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
476 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 82 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 | #10617425 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#65200 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10604806 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D5⋊#361 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10604788 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10598668 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10598661 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #66256 | — | 2 | 1 | no | — |
| 9 | C2×#4058 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×D5×D8 | C22 | 1 | 1 | yes | characteristic |
| 11 | D5⋊#100 | — | 2 | 1 | no | — |
| 12 | #65769 | — | 2 | 1 | no | — |
| 13 | #65767 | — | 2 | 1 | no | — |
| 14 | #65733 | — | 2 | 2 | no | — |
| 15 | #65732 | — | 2 | 2 | no | — |
| 16 | D5⋊#108 | C22 | 1 | 1 | yes | characteristic |
| 17 | D5⋊#108 | C22 | 1 | 1 | yes | characteristic |
| 18 | #65718 | C22 | 1 | 1 | yes | characteristic |
| 19 | D5⋊M32 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C5×D16 | C4 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#3959 | C4 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#3958 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | #65200 | — | 2 | 2 | no | — |
| 24 | #65200 | — | 2 | 2 | no | — |
| 25 | C2×#3932 | C4 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×#3930 | C22 | 1 | 1 | yes | characteristic |
| 27 | #64906 | — | 2 | 2 | no | — |
| 28 | #64905 | — | 2 | 2 | no | — |
| 29 | #13036 | — | 5 | 1 | no | maximal, Sylow |
| 30 | C2×#711 | — | 2 | 1 | no | — |
| 31 | C2×D4×D5 | — | 2 | 1 | no | — |
| 32 | C2×#704 | — | 4 | 2 | no | — |
| 33 | #4131 | — | 2 | 4 | no | — |
| 34 | #4131 | — | 4 | 2 | no | — |
| 35 | #4130 | D4 | 1 | 1 | yes | characteristic |
| 36 | D5⋊M16 | — | 2 | 1 | no | — |
| 37 | D5⋊M16 | — | 2 | 1 | no | — |
| 38 | D5⋊M16 | D4 | 1 | 1 | yes | characteristic |
| 39 | C2×C5×D8 | C2×C4 | 1 | 1 | yes | characteristic |
| 40 | C2×C5×D8 | C2×C4 | 1 | 1 | yes | characteristic |
| 41 | C2×#687 | — | 2 | 1 | no | — |
| 42 | C2×#686 | — | 2 | 1 | no | — |
| 43 | #4058 | — | 2 | 1 | no | — |
| 44 | #4058 | — | 2 | 1 | no | — |
| 45 | #4058 | D4 | 1 | 2 | yes | — |
| 46 | #4058 | D4 | 1 | 2 | yes | — |
| 47 | D5×D8 | — | 2 | 1 | no | — |
| 48 | D5×D8 | — | 2 | 1 | no | — |
| 49 | D5×D8 | — | 2 | 1 | no | — |
| 50 | D5×D8 | — | 2 | 1 | no | — |
| 51 | C2×Dic20 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | C2×D40 | C2×C4 | 1 | 1 | yes | characteristic |
| 53 | C2×C8×D5 | C23 | 1 | 1 | yes | characteristic |
| 54 | #4013 | — | 4 | 2 | no | — |
| 55 | #4008 | — | 2 | 4 | no | — |
| 56 | #4007 | — | 4 | 2 | no | — |
| 57 | #3998 | — | 2 | 1 | no | — |
| 58 | #3996 | — | 2 | 1 | no | — |
| 59 | #3996 | — | 2 | 1 | no | — |
| 60 | #3995 | — | 2 | 1 | no | — |
| 61 | #3995 | D4 | 1 | 2 | yes | — |
| 62 | #3992 | — | 2 | 1 | no | — |
| 63 | C8×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 64 | #3990 | — | 2 | 1 | no | — |
| 65 | D5⋊C16 | — | 2 | 1 | no | — |
| 66 | C5×D16 | — | 2 | 2 | no | — |
| 67 | C2×C5×C16 | C2×C4 | 1 | 1 | yes | characteristic |
| 68 | #3959 | — | 2 | 2 | no | — |
| 69 | #3958 | — | 2 | 2 | no | — |
| 70 | C2×#672 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | #3932 | — | 2 | 2 | no | — |
| 72 | #3930 | — | 2 | 1 | no | — |
| 73 | #3930 | — | 2 | 1 | no | — |
| 74 | C2×#509 | — | 5 | 1 | no | — |
| 75 | #2957 | — | 5 | 1 | no | — |
| 76 | C2×#361 | — | 5 | 1 | no | — |
| 77 | #2143 | — | 5 | 1 | no | — |
| 78 | #1978 | — | 5 | 1 | no | — |
| 79 | #1385 | — | 5 | 1 | no | — |
| 80 | #1378 | — | 5 | 1 | no | — |
| 81 | C23×D5 | — | 4 | 1 | no | — |
| 82 | C2×C5×D4 | — | 2 | 1 | no | — |
| 83 | C2×C5×D4 | — | 2 | 1 | no | — |
| 84 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 85 | C2×C22⋊D5 | — | 4 | 1 | no | — |
| 86 | C22×Dic5 | — | 4 | 1 | no | — |
| 87 | #711 | — | 2 | 2 | no | — |
| 88 | #711 | — | 2 | 2 | no | — |
| 89 | #711 | — | 4 | 1 | no | — |
| 90 | #711 | — | 4 | 1 | no | — |
| 91 | D4×D5 | — | 4 | 1 | no | — |
| 92 | D4×D5 | — | 4 | 1 | no | — |
| 93 | D4×D5 | — | 4 | 1 | no | — |
| 94 | D4×D5 | — | 4 | 1 | no | — |
| 95 | C2×D20 | — | 2 | 1 | no | — |
| 96 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 97 | C2×Dic10 | — | 2 | 1 | no | — |
| 98 | C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 99 | #704 | — | 4 | 4 | no | — |
| 100 | #704 | — | 4 | 1 | no | — |
| 101 | #704 | — | 4 | 1 | no | — |
| 102 | #704 | D8 | 1 | 2 | yes | — |
| 103 | C2×#170 | — | 4 | 4 | no | — |
| 104 | C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 105 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 106 | #700 | — | 2 | 1 | no | — |
| 107 | #700 | — | 2 | 2 | no | — |
| 108 | #700 | — | 4 | 1 | no | — |
| 109 | D5⋊C8 | — | 2 | 1 | no | — |
| 110 | D5⋊C8 | — | 4 | 1 | no | — |
| 111 | D5⋊C8 | — | 4 | 1 | no | — |
| 112 | C5×D8 | — | 2 | 1 | no | — |
| 113 | C5×D8 | — | 2 | 1 | no | — |
| 114 | C5×D8 | — | 2 | 1 | no | — |
| 115 | C5×D8 | C22⋊C4 | 1 | 2 | yes | — |
| 116 | C2×C5×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 117 | #687 | — | 2 | 2 | no | — |
| 118 | #687 | — | 2 | 2 | no | — |
| 119 | #686 | — | 4 | 1 | no | — |
| 120 | #686 | — | 4 | 1 | no | — |
| 121 | C2×#168 | #41 | 1 | 1 | yes | characteristic |
| 122 | Dic20 | — | 2 | 1 | no | — |
| 123 | Dic20 | C22⋊C4 | 1 | 2 | yes | — |
| 124 | D40 | — | 2 | 1 | no | — |
| 125 | D40 | — | 2 | 1 | no | — |
| 126 | C8×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C8×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C8×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C8×D5 | #41 | 1 | 1 | yes | characteristic |
| 130 | #674 | — | 4 | 1 | no | — |
| 131 | C5×C16 | — | 2 | 1 | no | — |
| 132 | #672 | — | 2 | 1 | no | — |
| 133 | C2×#135 | — | 5 | 1 | no | — |
| 134 | C22×D8 | — | 5 | 1 | no | — |
| 135 | #568 | — | 10 | 1 | no | — |
| 136 | #509 | — | 10 | 2 | no | — |
| 137 | #509 | — | 10 | 2 | no | — |
| 138 | C2×SD32 | — | 5 | 1 | no | — |
| 139 | C2×SD32 | — | 5 | 1 | no | — |
| 140 | C2×D16 | — | 5 | 1 | no | — |
| 141 | C2×D16 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 142 | C2×M32 | — | 5 | 1 | no | — |
| 143 | C2×M32 | — | 5 | 1 | no | — |
| 144 | #444 | — | 10 | 2 | no | — |
| 145 | #443 | — | 10 | 2 | no | — |
| 146 | C2×#108 | — | 5 | 1 | no | — |
| 147 | C2×#108 | — | 5 | 1 | no | — |
| 148 | #421 | — | 10 | 1 | no | — |
| 149 | #418 | — | 10 | 1 | no | — |
| 150 | C2×#100 | — | 10 | 1 | no | — |
| 151 | #405 | — | 5 | 1 | no | — |
| 152 | #361 | — | 10 | 2 | no | — |
| 153 | #359 | — | 10 | 2 | no | — |
| 154 | C23×C5 | — | 4 | 1 | no | — |
| 155 | C23×C5 | — | 4 | 1 | no | — |
| 156 | C22×D5 | — | 4 | 1 | no | — |
| 157 | C22×D5 | — | 8 | 1 | no | — |
| 158 | C22×D5 | — | 8 | 1 | no | — |
| 159 | C22×D5 | — | 16 | 2 | no | — |
| 160 | C22×D5 | #135 | 1 | 1 | yes | characteristic |
| 161 | C2×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 162 | C5×D4 | — | 2 | 2 | no | — |
| 163 | C5×D4 | — | 4 | 1 | no | — |
| 164 | C5×D4 | — | 4 | 1 | no | — |
| 165 | C5×D4 | — | 4 | 1 | no | — |
| 166 | C2×C4×C5 | C4×D4 | 1 | 1 | yes | characteristic |
| 167 | C22⋊D5 | — | 4 | 2 | no | — |
| 168 | C22⋊D5 | — | 4 | 2 | no | — |
| 169 | C22⋊D5 | — | 8 | 1 | no | — |
| 170 | C22⋊D5 | — | 8 | 1 | no | — |
| 171 | C2×Dic5 | — | 4 | 1 | no | — |
| 172 | C2×Dic5 | — | 4 | 2 | no | — |
| 173 | C2×Dic5 | — | 4 | 2 | no | — |
| 174 | C2×Dic5 | C2×D8 | 1 | 1 | yes | characteristic |
| 175 | D20 | — | 4 | 1 | no | — |
| 176 | D20 | — | 4 | 1 | no | — |
| 177 | C4×D5 | #120 | 1 | 1 | yes | characteristic |
| 178 | C4×D5 | #121 | 1 | 1 | yes | characteristic |
| 179 | C4×D5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 180 | C4×D5 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 181 | Dic10 | — | 2 | 2 | no | — |
| 182 | Dic10 | — | 4 | 1 | no | — |
| 183 | #170 | — | 2 | 2 | no | — |
| 184 | #170 | — | 4 | 2 | no | — |
| 185 | #170 | — | 8 | 1 | no | — |
| 186 | C5×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 187 | C5×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 188 | #168 | #121 | 1 | 1 | yes | characteristic |
| 189 | #168 | #123 | 1 | 1 | yes | characteristic |
| 190 | C2×#41 | — | 10 | 1 | no | — |
| 191 | C22×D4 | — | 10 | 1 | no | — |
| 192 | #135 | — | 5 | 2 | no | — |
| 193 | #135 | — | 5 | 2 | no | — |
| 194 | #135 | — | 10 | 1 | no | — |
| 195 | #135 | — | 10 | 1 | no | — |
| 196 | C2×Q16 | — | 5 | 1 | no | — |
| 197 | C2×SD16 | — | 10 | 1 | no | — |
| 198 | C2×D8 | — | 5 | 1 | no | — |
| 199 | C2×D8 | — | 10 | 1 | no | — |
| 200 | C2×D8 | — | 10 | 1 | no | — |
| 201 | C2×D8 | — | 10 | 1 | no | — |
| 202 | C2×D8 | — | 10 | 1 | no | — |
| 203 | C2×D8 | — | 10 | 1 | no | — |
| 204 | C2×D8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 205 | C2×D8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 206 | #131 | — | 10 | 4 | no | — |
| 207 | #131 | — | 20 | 2 | no | — |
| 208 | C2×M16 | — | 5 | 1 | no | — |
| 209 | C2×M16 | — | 10 | 1 | no | — |
| 210 | C2×M16 | — | 10 | 1 | no | — |
| 211 | C2×M16 | — | 20 | 2 | no | — |
| 212 | C22×C8 | — | 5 | 1 | no | — |
| 213 | #117 | — | 5 | 1 | no | — |
| 214 | SD32 | — | 10 | 2 | no | — |
| 215 | SD32 | — | 10 | 2 | no | — |
| 216 | D16 | — | 2 | 2 | no | — |
| 217 | D16 | — | 10 | 2 | no | — |
| 218 | M32 | — | 10 | 1 | no | — |
| 219 | M32 | — | 10 | 1 | no | — |
| 220 | M32 | — | 10 | 1 | no | — |
| 221 | M32 | — | 10 | 1 | no | — |
| 222 | C2×C16 | — | 5 | 1 | no | — |
| 223 | C2×C16 | — | 10 | 1 | no | — |
| 224 | C2×C16 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 225 | #108 | — | 5 | 2 | no | — |
| 226 | #108 | — | 10 | 1 | no | — |
| 227 | #108 | — | 10 | 1 | no | — |
| 228 | #108 | — | 10 | 1 | no | — |
| 229 | #104 | — | 10 | 4 | no | — |
| 230 | #102 | — | 20 | 2 | no | — |
| 231 | #100 | — | 20 | 2 | no | — |
| 232 | #97 | — | 10 | 1 | no | — |
| 233 | C4×C8 | — | 10 | 1 | no | — |
| 234 | C22×C5 | — | 4 | 2 | no | — |
| 235 | C22×C5 | — | 8 | 1 | no | — |
| 236 | C22×C5 | — | 16 | 1 | no | — |
| 237 | C22×C5 | — | 16 | 1 | no | — |
| 238 | C22×C5 | C4×D8 | 1 | 1 | yes | characteristic |
| 239 | C2×D5 | — | 4 | 1 | no | — |
| 240 | C2×D5 | — | 8 | 1 | no | — |
| 241 | C2×D5 | — | 16 | 2 | no | — |
| 242 | C2×D5 | — | 16 | 2 | no | — |
| 243 | C2×D5 | — | 16 | 1 | no | — |
| 244 | C2×D5 | #449 | 1 | 1 | yes | characteristic |
| 245 | C2×D5 | #463 | 1 | 1 | yes | characteristic |
| 246 | AGL(1,𝔽5) | — | 8 | 1 | no | — |
| 247 | C4×C5 | #386 | 1 | 1 | yes | characteristic |
| 248 | C4×C5 | #442 | 1 | 1 | yes | characteristic |
| 249 | Dic5 | — | 4 | 2 | no | — |
| 250 | Dic5 | #447 | 1 | 1 | yes | characteristic |
| 251 | Dic5 | #459 | 1 | 1 | yes | characteristic |
| 252 | C24 | — | 20 | 1 | no | — |
| 253 | #41 | — | 10 | 2 | no | — |
| 254 | #41 | — | 10 | 2 | no | — |
| 255 | #41 | — | 20 | 1 | no | — |
| 256 | #41 | — | 20 | 1 | no | — |
| 257 | C2×Q8 | — | 10 | 1 | no | — |
| 258 | C2×D4 | — | 2 | 1 | no | — |
| 259 | C2×D4 | — | 2 | 1 | no | — |
| 260 | C2×D4 | — | 10 | 1 | no | — |
| 261 | C2×D4 | — | 20 | 1 | no | — |
| 262 | C2×D4 | — | 20 | 1 | no | — |
| 263 | C2×D4 | — | 20 | 1 | no | — |
| 264 | C2×D4 | — | 20 | 1 | no | — |
| 265 | C2×D4 | — | 20 | 1 | no | — |
| 266 | C2×D4 | — | 20 | 1 | no | — |
| 267 | C22×C4 | — | 5 | 1 | no | — |
| 268 | C22×C4 | — | 20 | 1 | no | — |
| 269 | Q16 | — | 5 | 2 | no | — |
| 270 | Q16 | — | 10 | 1 | no | — |
| 271 | SD16 | — | 10 | 2 | no | — |
| 272 | SD16 | — | 10 | 2 | no | — |
| 273 | D8 | — | 2 | 1 | no | — |
| 274 | D8 | — | 2 | 1 | no | — |
| 275 | D8 | — | 2 | 1 | no | — |
| 276 | D8 | — | 10 | 1 | no | — |
| 277 | D8 | — | 10 | 1 | no | — |
| 278 | D8 | — | 20 | 1 | no | — |
| 279 | D8 | — | 20 | 1 | no | — |
| 280 | D8 | C22⋊AGL(1,𝔽5) | 1 | 2 | yes | — |
| 281 | M16 | — | 5 | 2 | no | — |
| 282 | M16 | — | 10 | 1 | no | — |
| 283 | M16 | — | 10 | 2 | no | — |
| 284 | M16 | — | 20 | 4 | no | — |
| 285 | M16 | — | 20 | 1 | no | — |
| 286 | M16 | — | 20 | 1 | no | — |
| 287 | M16 | — | 20 | 1 | no | — |
| 288 | C2×C8 | — | 5 | 1 | no | — |
| 289 | C2×C8 | — | 5 | 1 | no | — |
| 290 | C2×C8 | — | 5 | 1 | no | — |
| 291 | C2×C8 | — | 5 | 1 | no | — |
| 292 | C2×C8 | — | 5 | 1 | no | — |
| 293 | C2×C8 | — | 10 | 1 | no | — |
| 294 | C2×C8 | — | 20 | 4 | no | — |
| 295 | C2×C8 | — | 20 | 1 | no | — |
| 296 | C2×C8 | — | 20 | 1 | no | — |
| 297 | C2×C8 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 298 | C4⋊C4 | — | 10 | 1 | no | — |
| 299 | C22⋊C4 | — | 10 | 1 | no | — |
| 300 | C42 | — | 10 | 1 | no | — |
| 301 | C16 | — | 2 | 1 | no | — |
| 302 | C16 | — | 10 | 1 | no | — |
| 303 | C16 | — | 20 | 1 | no | — |
| 304 | C2×C5 | — | 2 | 1 | no | — |
| 305 | C2×C5 | — | 8 | 2 | no | — |
| 306 | C2×C5 | — | 16 | 1 | no | — |
| 307 | C2×C5 | #1879 | 1 | 1 | yes | characteristic |
| 308 | D5 | — | 2 | 1 | no | — |
| 309 | D5 | — | 2 | 1 | no | — |
| 310 | D5 | — | 16 | 1 | no | — |
| 311 | C23 | — | 4 | 1 | no | — |
| 312 | C23 | — | 4 | 1 | no | — |
| 313 | C23 | — | 5 | 1 | no | — |
| 314 | C23 | — | 20 | 1 | no | — |
| 315 | C23 | — | 40 | 1 | no | — |
| 316 | C23 | — | 40 | 1 | no | — |
| 317 | C23 | — | 80 | 2 | no | — |
| 318 | Q8 | — | 10 | 2 | no | — |
| 319 | Q8 | — | 20 | 1 | no | — |
| 320 | D4 | — | 2 | 2 | no | — |
| 321 | D4 | — | 4 | 1 | no | — |
| 322 | D4 | — | 4 | 1 | no | — |
| 323 | D4 | — | 4 | 1 | no | — |
| 324 | D4 | — | 20 | 2 | no | — |
| 325 | D4 | — | 20 | 2 | no | — |
| 326 | D4 | — | 20 | 1 | no | — |
| 327 | D4 | — | 20 | 1 | no | — |
| 328 | D4 | — | 40 | 1 | no | — |
| 329 | D4 | — | 40 | 1 | no | — |
| 330 | C2×C4 | — | 5 | 1 | no | — |
| 331 | C2×C4 | — | 5 | 1 | no | — |
| 332 | C2×C4 | — | 5 | 1 | no | — |
| 333 | C2×C4 | — | 5 | 1 | no | — |
| 334 | C2×C4 | — | 5 | 1 | no | — |
| 335 | C2×C4 | — | 20 | 2 | no | — |
| 336 | C2×C4 | — | 20 | 2 | no | — |
| 337 | C2×C4 | — | 20 | 1 | no | — |
| 338 | C2×C4 | — | 20 | 1 | no | — |
| 339 | C2×C4 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 340 | C8 | — | 5 | 1 | no | — |
| 341 | C8 | — | 5 | 1 | no | — |
| 342 | C8 | — | 10 | 2 | no | — |
| 343 | C8 | — | 20 | 2 | no | — |
| 344 | C8 | — | 40 | 1 | no | — |
| 345 | C8 | D4×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 346 | C8 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 347 | C5 | #13036 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 348 | C22 | — | 4 | 2 | no | — |
| 349 | C22 | — | 5 | 1 | no | — |
| 350 | C22 | — | 5 | 1 | no | — |
| 351 | C22 | — | 8 | 1 | no | — |
| 352 | C22 | — | 16 | 1 | no | — |
| 353 | C22 | — | 16 | 1 | no | — |
| 354 | C22 | — | 20 | 1 | no | — |
| 355 | C22 | — | 40 | 1 | no | — |
| 356 | C22 | — | 80 | 1 | no | — |
| 357 | C22 | — | 80 | 2 | no | — |
| 358 | C22 | — | 80 | 2 | no | — |
| 359 | C22 | D8×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 360 | C4 | — | 5 | 1 | no | — |
| 361 | C4 | — | 5 | 1 | no | — |
| 362 | C4 | — | 20 | 2 | no | — |
| 363 | C4 | — | 40 | 1 | no | — |
| 364 | C4 | #65731 | 1 | 1 | yes | characteristic |
| 365 | C4 | #65779 | 1 | 1 | yes | characteristic |
| 366 | C2 | — | 2 | 1 | no | — |
| 367 | C2 | — | 8 | 2 | no | — |
| 368 | C2 | — | 10 | 1 | no | — |
| 369 | C2 | — | 10 | 1 | no | — |
| 370 | C2 | — | 16 | 1 | no | — |
| 371 | C2 | — | 80 | 1 | no | — |
| 372 | C2 | #10604799 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10617425 | C2 | semidirect |
| 3. #10604806 | C2 | semidirect |
| 4. D5⋊#361 | C2 | semidirect |
| 5. #10604788 | C2 | semidirect |
| 6. #10598668 | C2 | semidirect |
| 7. #10598661 | C2 | semidirect |
| 20. C2×C5×D16 | C4 | semidirect |
| 21. C2×#3959 | C4 | semidirect |
| 22. C2×#3958 | C4 | semidirect |
| 25. C2×#3932 | C4 | semidirect |
| 141. C2×D16 | AGL(1,𝔽5) | semidirect |
| 347. C5 | #13036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617425 | 2 |
| C2×#65200 | 2 |
| #10604806 | 2 |
| D5⋊#361 | 2 |
| #10604788 | 2 |
| #10598668 | 2 |
| #10598661 | 2 |
| #13036 | 5 |