Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
4946 conjugacy classes of subgroups.
The subgroup lattice has 720 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D5×#585 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C2×#41×AGL(1,𝔽5) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | D5⋊#568 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10617562 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #10617560 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | D5⋊#421 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | C2×D5⋊#104 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | C5×#585 | C4 | 1 | 1 | yes | characteristic, complemented |
| 9 | #66287 | — | 2 | 1 | no | — |
| 10 | #66287 | C22 | 1 | 4 | yes | — |
| 11 | D5×2−1+4 | — | 2 | 1 | no | — |
| 12 | D5×2−1+4 | C4 | 1 | 4 | yes | complemented |
| 13 | #66285 | — | 2 | 3 | no | — |
| 14 | #66285 | C22 | 1 | 4 | yes | — |
| 15 | D5×H(5,𝔽2) | — | 2 | 3 | no | — |
| 16 | D5×H(5,𝔽2) | C4 | 1 | 4 | yes | complemented |
| 17 | #66283 | — | 2 | 4 | no | — |
| 18 | #66283 | C4 | 1 | 6 | yes | complemented |
| 19 | #66283 | C4 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×D5×#41 | — | 2 | 4 | no | — |
| 21 | C2×D5×#41 | C22 | 1 | 6 | yes | — |
| 22 | C2×D5×#41 | C22 | 1 | 1 | yes | characteristic |
| 23 | #41×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 24 | #41×AGL(1,𝔽5) | C22 | 1 | 8 | yes | complemented |
| 25 | #66264 | C22 | 1 | 8 | yes | complemented |
| 26 | D5⋊#131 | — | 2 | 4 | no | — |
| 27 | C2×Q8×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 28 | #66260 | — | 2 | 1 | no | — |
| 29 | C2×D4×AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 30 | #66256 | — | 2 | 3 | no | — |
| 31 | C2×#4130 | C22 | 1 | 3 | yes | complemented |
| 32 | C22×C4×AGL(1,𝔽5) | C22 | 1 | 3 | yes | complemented |
| 33 | C2×D5⋊M16 | C22 | 1 | 6 | yes | complemented |
| 34 | #65795 | C22 | 1 | 24 | yes | complemented |
| 35 | D5⋊#104 | C22 | 1 | 4 | yes | complemented |
| 36 | D5⋊#104 | C22 | 1 | 12 | yes | complemented |
| 37 | D5⋊#104 | C22 | 1 | 24 | yes | complemented |
| 38 | #65784 | C22 | 1 | 12 | yes | complemented |
| 39 | C2×#4010 | C22 | 1 | 12 | yes | complemented |
| 40 | #65769 | C22 | 1 | 12 | yes | complemented |
| 41 | C2×#4008 | C22 | 1 | 12 | yes | complemented |
| 42 | C2×#2901 | — | 5 | 1 | no | maximal, Sylow |
| 43 | C23×AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 44 | C5×2−1+4 | — | 2 | 1 | no | — |
| 45 | C5×2−1+4 | C2×C4 | 1 | 4 | yes | complemented |
| 46 | C5×H(5,𝔽2) | — | 2 | 3 | no | — |
| 47 | C5×H(5,𝔽2) | C2×C4 | 1 | 4 | yes | complemented |
| 48 | C2×C5×#41 | — | 2 | 4 | no | — |
| 49 | C2×C5×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 50 | C2×C5×#41 | C2×C4 | 1 | 6 | yes | complemented |
| 51 | #4150 | — | 2 | 4 | no | — |
| 52 | #4150 | — | 2 | 12 | no | — |
| 53 | #4150 | — | 2 | 6 | no | — |
| 54 | #4150 | C2×C4 | 1 | 12 | yes | complemented |
| 55 | #4150 | C2×C4 | 1 | 4 | yes | complemented |
| 56 | #4149 | — | 2 | 4 | no | — |
| 57 | #4149 | — | 2 | 12 | no | — |
| 58 | #4149 | — | 2 | 6 | no | — |
| 59 | #4149 | C2×C4 | 1 | 12 | yes | complemented |
| 60 | #4149 | C2×C4 | 1 | 4 | yes | complemented |
| 61 | D5×#41 | — | 2 | 4 | no | — |
| 62 | D5×#41 | — | 2 | 4 | no | — |
| 63 | D5×#41 | — | 2 | 4 | no | — |
| 64 | D5×#41 | — | 2 | 12 | no | — |
| 65 | D5×#41 | — | 2 | 12 | no | — |
| 66 | D5×#41 | — | 2 | 12 | no | — |
| 67 | D5×#41 | — | 2 | 6 | no | — |
| 68 | D5×#41 | — | 2 | 6 | no | — |
| 69 | D5×#41 | — | 2 | 6 | no | — |
| 70 | D5×#41 | — | 2 | 6 | no | — |
| 71 | D5×#41 | C2×C4 | 1 | 4 | yes | — |
| 72 | D5×#41 | C2×C4 | 1 | 12 | yes | complemented |
| 73 | D5×#41 | C2×C4 | 1 | 12 | yes | complemented |
| 74 | D5×#41 | D4 | 1 | 4 | yes | — |
| 75 | D5×#41 | D4 | 1 | 4 | yes | — |
| 76 | D5×#41 | C23 | 1 | 4 | yes | — |
| 77 | D5×#41 | C23 | 1 | 12 | yes | — |
| 78 | D5×#41 | C23 | 1 | 4 | yes | — |
| 79 | #4147 | — | 2 | 1 | no | — |
| 80 | #4147 | — | 2 | 4 | no | — |
| 81 | #4147 | — | 2 | 4 | no | — |
| 82 | #4147 | C2×C4 | 1 | 12 | yes | complemented |
| 83 | C2×#713 | — | 2 | 4 | no | — |
| 84 | C2×#713 | D4 | 1 | 1 | yes | characteristic |
| 85 | C2×#713 | C23 | 1 | 6 | yes | — |
| 86 | C2×Q8×D5 | — | 2 | 4 | no | — |
| 87 | C2×Q8×D5 | C2×C4 | 1 | 6 | yes | complemented |
| 88 | C2×Q8×D5 | D4 | 1 | 1 | yes | characteristic |
| 89 | #4144 | — | 2 | 3 | no | — |
| 90 | #4144 | — | 2 | 12 | no | — |
| 91 | #4144 | — | 2 | 12 | no | — |
| 92 | #4144 | — | 2 | 12 | no | — |
| 93 | #4144 | C2×C4 | 1 | 12 | yes | complemented |
| 94 | C2×#711 | — | 2 | 6 | no | — |
| 95 | C2×#711 | — | 2 | 12 | no | — |
| 96 | C2×#711 | D4 | 1 | 3 | yes | — |
| 97 | C2×#711 | C23 | 1 | 6 | yes | — |
| 98 | C2×D4×D5 | — | 2 | 6 | no | — |
| 99 | C2×D4×D5 | — | 2 | 12 | no | — |
| 100 | C2×D4×D5 | C2×C4 | 1 | 6 | yes | complemented |
| 101 | C2×D4×D5 | D4 | 1 | 3 | yes | — |
| 102 | C2×#709 | — | 2 | 12 | no | — |
| 103 | C2×#709 | — | 2 | 6 | no | — |
| 104 | C2×#709 | C2×C4 | 1 | 3 | yes | — |
| 105 | C2×#709 | C2×C4 | 1 | 6 | yes | complemented |
| 106 | C22×C4×D5 | — | 2 | 6 | no | — |
| 107 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 108 | C2×C22⋊AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 109 | C2×#704 | — | 2 | 6 | no | — |
| 110 | Q8×AGL(1,𝔽5) | — | 2 | 8 | no | — |
| 111 | #4133 | — | 2 | 8 | no | — |
| 112 | D4×AGL(1,𝔽5) | — | 2 | 24 | no | — |
| 113 | #4131 | — | 2 | 24 | no | — |
| 114 | #4130 | — | 2 | 6 | no | — |
| 115 | #4130 | C23 | 1 | 12 | yes | complemented |
| 116 | C2×C4⋊AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 117 | C2×C4×AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 118 | C2×C4×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 119 | C2×C4×AGL(1,𝔽5) | C23 | 1 | 1 | yes | characteristic |
| 120 | C2×C4×AGL(1,𝔽5) | C23 | 1 | 3 | yes | — |
| 121 | C2×C4×AGL(1,𝔽5) | C23 | 1 | 12 | yes | complemented |
| 122 | D5⋊M16 | — | 2 | 6 | no | — |
| 123 | D5⋊M16 | — | 2 | 6 | no | — |
| 124 | D5⋊M16 | C23 | 1 | 4 | yes | — |
| 125 | D5⋊M16 | C23 | 1 | 12 | yes | complemented |
| 126 | C2×#700 | C23 | 1 | 12 | yes | complemented |
| 127 | C2×D5⋊C8 | — | 2 | 6 | no | — |
| 128 | #4010 | C23 | 1 | 8 | yes | complemented |
| 129 | #4010 | C23 | 1 | 24 | yes | complemented |
| 130 | #4008 | C23 | 1 | 8 | yes | complemented |
| 131 | #4008 | C23 | 1 | 24 | yes | complemented |
| 132 | C2×#585 | — | 5 | 1 | no | — |
| 133 | C2×#568 | — | 5 | 1 | no | — |
| 134 | C2×C4×#41 | — | 5 | 1 | no | — |
| 135 | #2901 | — | 5 | 8 | no | — |
| 136 | #2901 | — | 5 | 8 | no | — |
| 137 | C2×#421 | — | 5 | 6 | no | — |
| 138 | C22×#104 | — | 5 | 6 | no | — |
| 139 | C23×D5 | — | 2 | 6 | no | — |
| 140 | C23×D5 | C2×D4 | 1 | 3 | yes | — |
| 141 | C22×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 142 | C22×AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 143 | C22×AGL(1,𝔽5) | — | 2 | 12 | no | — |
| 144 | C22×AGL(1,𝔽5) | — | 4 | 12 | no | — |
| 145 | C5×#41 | — | 2 | 4 | no | — |
| 146 | C5×#41 | — | 2 | 12 | no | — |
| 147 | C5×#41 | — | 2 | 6 | no | — |
| 148 | C5×#41 | — | 2 | 6 | no | — |
| 149 | C5×#41 | C22⋊C4 | 1 | 4 | yes | — |
| 150 | C5×#41 | C22×C4 | 1 | 4 | yes | — |
| 151 | C5×#41 | C22×C4 | 1 | 4 | yes | — |
| 152 | C5×#41 | C22×C4 | 1 | 12 | yes | complemented |
| 153 | C2×C5×Q8 | — | 2 | 4 | no | — |
| 154 | C2×C5×Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 155 | C2×C5×Q8 | C22×C4 | 1 | 6 | yes | complemented |
| 156 | C2×C5×D4 | — | 2 | 6 | no | — |
| 157 | C2×C5×D4 | — | 2 | 12 | no | — |
| 158 | C2×C5×D4 | C22⋊C4 | 1 | 3 | yes | — |
| 159 | C2×C5×D4 | C22×C4 | 1 | 6 | yes | complemented |
| 160 | C22×C4×C5 | — | 2 | 6 | no | — |
| 161 | C22×C4×C5 | C22×C4 | 1 | 3 | yes | — |
| 162 | C2×C22⋊D5 | — | 2 | 6 | no | — |
| 163 | C2×C22⋊D5 | — | 2 | 6 | no | — |
| 164 | C2×C22⋊D5 | — | 2 | 24 | no | — |
| 165 | C2×C22⋊D5 | — | 2 | 6 | no | — |
| 166 | C2×C22⋊D5 | C22⋊C4 | 1 | 6 | yes | — |
| 167 | C22×Dic5 | — | 2 | 6 | no | — |
| 168 | C22×Dic5 | C2×D4 | 1 | 3 | yes | — |
| 169 | #713 | — | 2 | 4 | no | — |
| 170 | #713 | — | 2 | 12 | no | — |
| 171 | #713 | — | 2 | 6 | no | — |
| 172 | #713 | — | 2 | 6 | no | — |
| 173 | #713 | C22⋊C4 | 1 | 4 | yes | — |
| 174 | #713 | C22×C4 | 1 | 12 | yes | complemented |
| 175 | #713 | C2×D4 | 1 | 4 | yes | — |
| 176 | #713 | C24 | 1 | 4 | yes | — |
| 177 | Q8×D5 | — | 2 | 4 | no | — |
| 178 | Q8×D5 | — | 2 | 6 | no | — |
| 179 | Q8×D5 | — | 2 | 6 | no | — |
| 180 | Q8×D5 | — | 2 | 12 | no | — |
| 181 | Q8×D5 | C22⋊C4 | 1 | 4 | yes | — |
| 182 | Q8×D5 | C22×C4 | 1 | 4 | yes | — |
| 183 | Q8×D5 | C22×C4 | 1 | 12 | yes | complemented |
| 184 | Q8×D5 | C2×D4 | 1 | 4 | yes | — |
| 185 | #711 | — | 2 | 12 | no | — |
| 186 | #711 | — | 2 | 24 | no | — |
| 187 | #711 | — | 2 | 12 | no | — |
| 188 | #711 | — | 2 | 12 | no | — |
| 189 | #711 | — | 2 | 4 | no | — |
| 190 | #711 | — | 2 | 12 | no | — |
| 191 | #711 | — | 2 | 6 | no | — |
| 192 | #711 | — | 2 | 6 | no | — |
| 193 | #711 | — | 2 | 12 | no | — |
| 194 | #711 | C22⋊C4 | 1 | 12 | yes | — |
| 195 | #711 | C22×C4 | 1 | 12 | yes | complemented |
| 196 | #711 | C2×D4 | 1 | 12 | yes | — |
| 197 | #711 | C24 | 1 | 4 | yes | — |
| 198 | D4×D5 | — | 2 | 12 | no | — |
| 199 | D4×D5 | — | 2 | 12 | no | — |
| 200 | D4×D5 | — | 2 | 4 | no | — |
| 201 | D4×D5 | — | 2 | 12 | no | — |
| 202 | D4×D5 | — | 2 | 12 | no | — |
| 203 | D4×D5 | — | 2 | 24 | no | — |
| 204 | D4×D5 | — | 2 | 12 | no | — |
| 205 | D4×D5 | — | 2 | 6 | no | — |
| 206 | D4×D5 | — | 2 | 6 | no | — |
| 207 | D4×D5 | C22⋊C4 | 1 | 12 | yes | — |
| 208 | D4×D5 | C22×C4 | 1 | 4 | yes | — |
| 209 | D4×D5 | C22×C4 | 1 | 12 | yes | complemented |
| 210 | D4×D5 | C2×D4 | 1 | 12 | yes | — |
| 211 | #709 | — | 2 | 6 | no | — |
| 212 | #709 | — | 2 | 6 | no | — |
| 213 | #709 | — | 2 | 24 | no | — |
| 214 | #709 | — | 2 | 12 | no | — |
| 215 | #709 | — | 2 | 12 | no | — |
| 216 | #709 | — | 2 | 12 | no | — |
| 217 | #709 | — | 2 | 4 | no | — |
| 218 | #709 | — | 2 | 12 | no | — |
| 219 | #709 | — | 2 | 12 | no | — |
| 220 | #709 | C22⋊C4 | 1 | 12 | yes | — |
| 221 | #709 | C22×C4 | 1 | 12 | yes | — |
| 222 | #709 | C22×C4 | 1 | 4 | yes | — |
| 223 | #709 | C22×C4 | 1 | 12 | yes | complemented |
| 224 | C2×D20 | — | 2 | 6 | no | — |
| 225 | C2×D20 | — | 2 | 12 | no | — |
| 226 | C2×D20 | C22⋊C4 | 1 | 3 | yes | — |
| 227 | C2×D20 | C22×C4 | 1 | 6 | yes | complemented |
| 228 | C2×C4×D5 | — | 2 | 6 | no | — |
| 229 | C2×C4×D5 | — | 2 | 6 | no | — |
| 230 | C2×C4×D5 | — | 2 | 6 | no | — |
| 231 | C2×C4×D5 | — | 2 | 12 | no | — |
| 232 | C2×C4×D5 | — | 2 | 12 | no | — |
| 233 | C2×C4×D5 | — | 2 | 4 | no | — |
| 234 | C2×C4×D5 | — | 2 | 12 | no | — |
| 235 | C2×C4×D5 | C22×C4 | 1 | 3 | yes | — |
| 236 | C2×C4×D5 | C22×C4 | 1 | 6 | yes | — |
| 237 | C2×C4×D5 | C2×D4 | 1 | 3 | yes | — |
| 238 | C2×C4×D5 | C2×D4 | 1 | 6 | yes | — |
| 239 | C2×C4×D5 | C2×D4 | 1 | 6 | yes | — |
| 240 | C2×C4×D5 | C2×D4 | 1 | 3 | yes | — |
| 241 | C2×C4×D5 | C24 | 1 | 6 | yes | — |
| 242 | C2×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 243 | C2×Dic10 | — | 2 | 6 | no | — |
| 244 | C2×Dic10 | — | 2 | 12 | no | — |
| 245 | C2×Dic10 | C22⋊C4 | 1 | 3 | yes | — |
| 246 | C2×Dic10 | C22×C4 | 1 | 6 | yes | complemented |
| 247 | C22⋊AGL(1,𝔽5) | — | 2 | 12 | no | — |
| 248 | #704 | — | 2 | 4 | no | — |
| 249 | #704 | — | 2 | 12 | no | — |
| 250 | C2×#170 | — | 2 | 12 | no | — |
| 251 | C4⋊AGL(1,𝔽5) | — | 2 | 12 | no | — |
| 252 | C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 253 | C4×AGL(1,𝔽5) | — | 2 | 3 | no | — |
| 254 | C4×AGL(1,𝔽5) | — | 2 | 12 | no | — |
| 255 | C4×AGL(1,𝔽5) | C24 | 1 | 2 | yes | — |
| 256 | C4×AGL(1,𝔽5) | C24 | 1 | 6 | yes | — |
| 257 | #700 | — | 2 | 12 | no | — |
| 258 | #700 | C24 | 1 | 8 | yes | — |
| 259 | D5⋊C8 | — | 2 | 4 | no | — |
| 260 | D5⋊C8 | — | 2 | 12 | no | — |
| 261 | #585 | — | 5 | 4 | no | — |
| 262 | #585 | — | 5 | 4 | no | — |
| 263 | #585 | — | 5 | 1 | no | — |
| 264 | #585 | — | 5 | 6 | no | — |
| 265 | #585 | — | 10 | 4 | no | — |
| 266 | #585 | — | 10 | 3 | no | — |
| 267 | #585 | — | 10 | 1 | no | — |
| 268 | #585 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 269 | C2×2−1+4 | — | 5 | 4 | no | — |
| 270 | C2×2−1+4 | — | 10 | 1 | no | — |
| 271 | C2×H(5,𝔽2) | — | 5 | 4 | no | — |
| 272 | C2×H(5,𝔽2) | — | 10 | 3 | no | — |
| 273 | C22×#41 | — | 5 | 1 | no | — |
| 274 | C22×#41 | — | 5 | 6 | no | — |
| 275 | C22×#41 | — | 10 | 4 | no | — |
| 276 | #568 | — | 5 | 8 | no | — |
| 277 | #568 | — | 10 | 3 | no | — |
| 278 | #568 | — | 10 | 1 | no | — |
| 279 | C2×#131 | — | 10 | 4 | no | — |
| 280 | C22×M16 | — | 5 | 6 | no | — |
| 281 | C4×#41 | — | 5 | 8 | no | — |
| 282 | C4×#41 | — | 10 | 4 | no | — |
| 283 | C2×C4×Q8 | — | 10 | 1 | no | — |
| 284 | C2×C4×D4 | — | 10 | 3 | no | — |
| 285 | C2×#117 | — | 5 | 3 | no | — |
| 286 | C22×C42 | — | 5 | 3 | no | — |
| 287 | #421 | — | 5 | 24 | no | — |
| 288 | #421 | — | 5 | 12 | no | — |
| 289 | #421 | — | 5 | 12 | no | — |
| 290 | C2×#104 | — | 5 | 4 | no | — |
| 291 | C2×#104 | — | 5 | 12 | no | — |
| 292 | C2×#104 | — | 5 | 24 | no | — |
| 293 | C2×#104 | — | 5 | 12 | no | — |
| 294 | C2×#104 | — | 5 | 12 | no | — |
| 295 | C23×C5 | — | 2 | 6 | no | — |
| 296 | C23×C5 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 297 | C22×D5 | — | 2 | 6 | no | — |
| 298 | C22×D5 | — | 2 | 4 | no | — |
| 299 | C22×D5 | — | 2 | 12 | no | — |
| 300 | C22×D5 | — | 4 | 6 | no | — |
| 301 | C22×D5 | — | 8 | 12 | no | — |
| 302 | C22×D5 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 303 | C22×D5 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 304 | C22×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 305 | C22×D5 | C22×D4 | 1 | 6 | yes | — |
| 306 | C2×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 307 | C2×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 308 | C2×AGL(1,𝔽5) | — | 2 | 6 | no | — |
| 309 | C2×AGL(1,𝔽5) | — | 4 | 24 | no | — |
| 310 | C2×AGL(1,𝔽5) | — | 4 | 6 | no | — |
| 311 | C5×Q8 | — | 2 | 6 | no | — |
| 312 | C5×Q8 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 313 | C5×Q8 | C23×C4 | 1 | 4 | yes | — |
| 314 | C5×D4 | — | 2 | 4 | no | — |
| 315 | C5×D4 | — | 2 | 12 | no | — |
| 316 | C5×D4 | — | 2 | 6 | no | — |
| 317 | C5×D4 | C2×C22⋊C4 | 1 | 12 | yes | — |
| 318 | C5×D4 | C23×C4 | 1 | 4 | yes | — |
| 319 | C2×C4×C5 | — | 2 | 6 | no | — |
| 320 | C2×C4×C5 | — | 2 | 12 | no | — |
| 321 | C2×C4×C5 | — | 2 | 4 | no | — |
| 322 | C2×C4×C5 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 323 | C2×C4×C5 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 324 | C2×C4×C5 | C23×C4 | 1 | 6 | yes | — |
| 325 | C2×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 326 | C22⋊D5 | — | 2 | 4 | no | — |
| 327 | C22⋊D5 | — | 2 | 12 | no | — |
| 328 | C22⋊D5 | — | 2 | 12 | no | — |
| 329 | C22⋊D5 | — | 2 | 4 | no | — |
| 330 | C22⋊D5 | — | 2 | 4 | no | — |
| 331 | C22⋊D5 | — | 2 | 12 | no | — |
| 332 | C22⋊D5 | C2×C22⋊C4 | 1 | 24 | yes | — |
| 333 | C2×Dic5 | — | 2 | 6 | no | — |
| 334 | C2×Dic5 | — | 2 | 12 | no | — |
| 335 | C2×Dic5 | — | 2 | 4 | no | — |
| 336 | C2×Dic5 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 337 | C2×Dic5 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 338 | C2×Dic5 | C22×D4 | 1 | 6 | yes | — |
| 339 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 340 | D20 | — | 2 | 12 | no | — |
| 341 | D20 | — | 2 | 4 | no | — |
| 342 | D20 | — | 2 | 6 | no | — |
| 343 | D20 | C2×C22⋊C4 | 1 | 12 | yes | — |
| 344 | D20 | C23×C4 | 1 | 4 | yes | — |
| 345 | C4×D5 | — | 2 | 4 | no | — |
| 346 | C4×D5 | — | 2 | 12 | no | — |
| 347 | C4×D5 | — | 2 | 4 | no | — |
| 348 | C4×D5 | — | 2 | 12 | no | — |
| 349 | C4×D5 | — | 2 | 12 | no | — |
| 350 | C4×D5 | — | 2 | 4 | no | — |
| 351 | C4×D5 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 352 | C4×D5 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 353 | C4×D5 | C2×C22⋊C4 | 1 | 6 | yes | — |
| 354 | C4×D5 | C23×C4 | 1 | 1 | yes | characteristic |
| 355 | C4×D5 | C23×C4 | 1 | 6 | yes | — |
| 356 | C4×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 357 | C4×D5 | C22×D4 | 1 | 6 | yes | — |
| 358 | C4×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 359 | C4×D5 | C22×D4 | 1 | 6 | yes | — |
| 360 | C4×D5 | C25 | 1 | 1 | yes | characteristic |
| 361 | Dic10 | — | 2 | 6 | no | — |
| 362 | Dic10 | — | 2 | 4 | no | — |
| 363 | Dic10 | — | 2 | 12 | no | — |
| 364 | Dic10 | C2×C22⋊C4 | 1 | 12 | yes | — |
| 365 | Dic10 | C23×C4 | 1 | 4 | yes | — |
| 366 | #170 | — | 2 | 8 | no | — |
| 367 | 2−1+4 | — | 2 | 1 | no | — |
| 368 | 2−1+4 | — | 5 | 4 | no | — |
| 369 | 2−1+4 | — | 5 | 12 | no | — |
| 370 | 2−1+4 | — | 5 | 12 | no | — |
| 371 | 2−1+4 | — | 10 | 4 | no | — |
| 372 | 2−1+4 | — | 10 | 4 | no | — |
| 373 | 2−1+4 | — | 10 | 4 | no | — |
| 374 | 2−1+4 | — | 10 | 6 | no | — |
| 375 | 2−1+4 | — | 10 | 12 | no | — |
| 376 | 2−1+4 | — | 10 | 1 | no | — |
| 377 | 2−1+4 | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 378 | H(5,𝔽2) | — | 2 | 3 | no | — |
| 379 | H(5,𝔽2) | — | 5 | 4 | no | — |
| 380 | H(5,𝔽2) | — | 5 | 12 | no | — |
| 381 | H(5,𝔽2) | — | 5 | 12 | no | — |
| 382 | H(5,𝔽2) | — | 10 | 12 | no | — |
| 383 | H(5,𝔽2) | — | 10 | 12 | no | — |
| 384 | H(5,𝔽2) | — | 10 | 12 | no | — |
| 385 | H(5,𝔽2) | — | 10 | 12 | no | — |
| 386 | H(5,𝔽2) | — | 10 | 6 | no | — |
| 387 | H(5,𝔽2) | — | 10 | 4 | no | — |
| 388 | H(5,𝔽2) | — | 10 | 3 | no | — |
| 389 | H(5,𝔽2) | C2×AGL(1,𝔽5) | 1 | 4 | yes | complemented |
| 390 | C2×#41 | — | 2 | 4 | no | — |
| 391 | C2×#41 | — | 5 | 4 | no | — |
| 392 | C2×#41 | — | 5 | 4 | no | — |
| 393 | C2×#41 | — | 5 | 4 | no | — |
| 394 | C2×#41 | — | 5 | 4 | no | — |
| 395 | C2×#41 | — | 5 | 1 | no | — |
| 396 | C2×#41 | — | 5 | 3 | no | — |
| 397 | C2×#41 | — | 5 | 3 | no | — |
| 398 | C2×#41 | — | 5 | 12 | no | — |
| 399 | C2×#41 | — | 5 | 4 | no | — |
| 400 | C2×#41 | — | 5 | 12 | no | — |
| 401 | C2×#41 | — | 5 | 12 | no | — |
| 402 | C2×#41 | — | 5 | 6 | no | — |
| 403 | C2×#41 | — | 5 | 6 | no | — |
| 404 | C2×#41 | — | 5 | 6 | no | — |
| 405 | C2×#41 | — | 10 | 6 | no | — |
| 406 | C2×#41 | — | 10 | 12 | no | — |
| 407 | C2×#41 | — | 10 | 6 | no | — |
| 408 | C2×#41 | — | 10 | 6 | no | — |
| 409 | C2×#41 | — | 10 | 6 | no | — |
| 410 | C2×#41 | — | 10 | 6 | no | — |
| 411 | C2×#41 | — | 10 | 6 | no | — |
| 412 | C2×#41 | — | 10 | 12 | no | — |
| 413 | C2×#41 | — | 10 | 12 | no | — |
| 414 | C2×#41 | — | 10 | 4 | no | — |
| 415 | C2×#41 | — | 10 | 4 | no | — |
| 416 | C2×#41 | — | 10 | 4 | no | — |
| 417 | C2×#41 | — | 10 | 12 | no | — |
| 418 | C2×#41 | — | 10 | 12 | no | — |
| 419 | C2×#41 | — | 10 | 4 | no | — |
| 420 | C2×#41 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 421 | C2×#41 | C2×AGL(1,𝔽5) | 1 | 6 | yes | complemented |
| 422 | C22×Q8 | — | 5 | 1 | no | — |
| 423 | C22×Q8 | — | 5 | 6 | no | — |
| 424 | C22×Q8 | — | 10 | 4 | no | — |
| 425 | C22×D4 | — | 5 | 3 | no | — |
| 426 | C22×D4 | — | 5 | 6 | no | — |
| 427 | C22×D4 | — | 10 | 12 | no | — |
| 428 | C22×D4 | — | 10 | 6 | no | — |
| 429 | C23×C4 | — | 5 | 3 | no | — |
| 430 | C23×C4 | — | 10 | 6 | no | — |
| 431 | C23×C4 | — | 10 | 3 | no | — |
| 432 | #131 | — | 10 | 24 | no | — |
| 433 | #131 | — | 10 | 8 | no | — |
| 434 | C2×M16 | — | 5 | 12 | no | — |
| 435 | C2×M16 | — | 5 | 4 | no | — |
| 436 | C2×M16 | — | 5 | 12 | no | — |
| 437 | C2×M16 | — | 10 | 6 | no | — |
| 438 | C2×M16 | — | 10 | 6 | no | — |
| 439 | C2×M16 | — | 10 | 6 | no | — |
| 440 | C22×C8 | — | 10 | 6 | no | — |
| 441 | C4×Q8 | — | 10 | 8 | no | — |
| 442 | C4×D4 | — | 10 | 24 | no | — |
| 443 | #117 | — | 5 | 12 | no | — |
| 444 | #117 | — | 10 | 6 | no | — |
| 445 | C2×C4⋊C4 | — | 10 | 3 | no | — |
| 446 | C2×C22⋊C4 | — | 10 | 3 | no | — |
| 447 | C2×C42 | — | 5 | 3 | no | — |
| 448 | C2×C42 | — | 5 | 12 | no | — |
| 449 | C2×C42 | — | 5 | 1 | no | — |
| 450 | C2×C42 | — | 10 | 3 | no | — |
| 451 | C2×C42 | — | 10 | 6 | no | — |
| 452 | #104 | — | 5 | 8 | no | — |
| 453 | #104 | — | 5 | 8 | no | — |
| 454 | #104 | — | 5 | 24 | no | — |
| 455 | #104 | — | 5 | 24 | no | — |
| 456 | C22×C5 | — | 2 | 4 | no | — |
| 457 | C22×C5 | — | 4 | 3 | no | — |
| 458 | C22×C5 | — | 8 | 6 | no | — |
| 459 | C22×C5 | C22×C22⋊C4 | 1 | 6 | yes | — |
| 460 | C22×C5 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 461 | C2×D5 | — | 2 | 2 | no | — |
| 462 | C2×D5 | — | 2 | 12 | no | — |
| 463 | C2×D5 | — | 2 | 4 | no | — |
| 464 | C2×D5 | — | 4 | 6 | no | — |
| 465 | C2×D5 | — | 4 | 3 | no | — |
| 466 | C2×D5 | — | 4 | 8 | no | — |
| 467 | C2×D5 | — | 8 | 12 | no | — |
| 468 | C2×D5 | — | 8 | 6 | no | — |
| 469 | C2×D5 | C22×C22⋊C4 | 1 | 6 | yes | — |
| 470 | C2×D5 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 471 | C2×D5 | C23×D4 | 1 | 1 | yes | characteristic |
| 472 | AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 473 | AGL(1,𝔽5) | — | 4 | 6 | no | — |
| 474 | C4×C5 | — | 2 | 4 | no | — |
| 475 | C4×C5 | C22×C22⋊C4 | 1 | 6 | yes | — |
| 476 | C4×C5 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 477 | C4×C5 | C24×C4 | 1 | 1 | yes | characteristic |
| 478 | Dic5 | — | 2 | 4 | no | — |
| 479 | Dic5 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 480 | Dic5 | C22×C22⋊C4 | 1 | 6 | yes | — |
| 481 | Dic5 | C23×D4 | 1 | 1 | yes | characteristic |
| 482 | C24 | — | 5 | 3 | no | — |
| 483 | C24 | — | 10 | 6 | no | — |
| 484 | #41 | — | 2 | 4 | no | — |
| 485 | #41 | — | 2 | 12 | no | — |
| 486 | #41 | — | 2 | 6 | no | — |
| 487 | #41 | — | 2 | 6 | no | — |
| 488 | #41 | — | 5 | 4 | no | — |
| 489 | #41 | — | 5 | 4 | no | — |
| 490 | #41 | — | 5 | 12 | no | — |
| 491 | #41 | — | 5 | 12 | no | — |
| 492 | #41 | — | 5 | 12 | no | — |
| 493 | #41 | — | 5 | 12 | no | — |
| 494 | #41 | — | 5 | 4 | no | — |
| 495 | #41 | — | 5 | 12 | no | — |
| 496 | #41 | — | 5 | 4 | no | — |
| 497 | #41 | — | 5 | 12 | no | — |
| 498 | #41 | — | 5 | 4 | no | — |
| 499 | #41 | — | 5 | 12 | no | — |
| 500 | #41 | — | 10 | 4 | no | — |
| 501 | #41 | — | 10 | 12 | no | — |
| 502 | #41 | — | 10 | 12 | no | — |
| 503 | #41 | — | 10 | 12 | no | — |
| 504 | #41 | — | 10 | 24 | no | — |
| 505 | #41 | — | 10 | 12 | no | — |
| 506 | #41 | — | 10 | 12 | no | — |
| 507 | #41 | — | 10 | 12 | no | — |
| 508 | #41 | — | 10 | 4 | no | — |
| 509 | #41 | — | 10 | 6 | no | — |
| 510 | #41 | — | 10 | 12 | no | — |
| 511 | #41 | — | 10 | 12 | no | — |
| 512 | #41 | — | 10 | 6 | no | — |
| 513 | #41 | — | 10 | 6 | no | — |
| 514 | #41 | — | 10 | 6 | no | — |
| 515 | #41 | — | 10 | 24 | no | — |
| 516 | #41 | — | 10 | 12 | no | — |
| 517 | #41 | — | 10 | 12 | no | — |
| 518 | #41 | — | 10 | 4 | no | — |
| 519 | #41 | — | 10 | 12 | no | — |
| 520 | #41 | — | 10 | 6 | no | — |
| 521 | #41 | — | 10 | 6 | no | — |
| 522 | #41 | C22⋊AGL(1,𝔽5) | 1 | 4 | yes | — |
| 523 | #41 | C22×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 524 | #41 | C22×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 525 | #41 | C22×AGL(1,𝔽5) | 1 | 12 | yes | complemented |
| 526 | C2×Q8 | — | 2 | 4 | no | — |
| 527 | C2×Q8 | — | 5 | 4 | no | — |
| 528 | C2×Q8 | — | 5 | 4 | no | — |
| 529 | C2×Q8 | — | 5 | 3 | no | — |
| 530 | C2×Q8 | — | 5 | 4 | no | — |
| 531 | C2×Q8 | — | 5 | 12 | no | — |
| 532 | C2×Q8 | — | 5 | 6 | no | — |
| 533 | C2×Q8 | — | 10 | 6 | no | — |
| 534 | C2×Q8 | — | 10 | 12 | no | — |
| 535 | C2×Q8 | — | 10 | 6 | no | — |
| 536 | C2×Q8 | — | 10 | 6 | no | — |
| 537 | C2×Q8 | — | 10 | 12 | no | — |
| 538 | C2×Q8 | — | 10 | 4 | no | — |
| 539 | C2×Q8 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 540 | C2×Q8 | C22×AGL(1,𝔽5) | 1 | 6 | yes | complemented |
| 541 | C2×D4 | — | 2 | 6 | no | — |
| 542 | C2×D4 | — | 2 | 12 | no | — |
| 543 | C2×D4 | — | 5 | 6 | no | — |
| 544 | C2×D4 | — | 5 | 12 | no | — |
| 545 | C2×D4 | — | 5 | 12 | no | — |
| 546 | C2×D4 | — | 5 | 4 | no | — |
| 547 | C2×D4 | — | 5 | 12 | no | — |
| 548 | C2×D4 | — | 5 | 3 | no | — |
| 549 | C2×D4 | — | 5 | 6 | no | — |
| 550 | C2×D4 | — | 10 | 12 | no | — |
| 551 | C2×D4 | — | 10 | 6 | no | — |
| 552 | C2×D4 | — | 10 | 6 | no | — |
| 553 | C2×D4 | — | 10 | 6 | no | — |
| 554 | C2×D4 | — | 10 | 6 | no | — |
| 555 | C2×D4 | — | 10 | 24 | no | — |
| 556 | C2×D4 | — | 10 | 12 | no | — |
| 557 | C2×D4 | — | 10 | 4 | no | — |
| 558 | C2×D4 | — | 10 | 12 | no | — |
| 559 | C2×D4 | — | 10 | 12 | no | — |
| 560 | C2×D4 | — | 10 | 12 | no | — |
| 561 | C2×D4 | — | 10 | 24 | no | — |
| 562 | C2×D4 | — | 10 | 6 | no | — |
| 563 | C2×D4 | — | 10 | 6 | no | — |
| 564 | C2×D4 | — | 10 | 12 | no | — |
| 565 | C2×D4 | C22⋊AGL(1,𝔽5) | 1 | 3 | yes | — |
| 566 | C2×D4 | C22×AGL(1,𝔽5) | 1 | 6 | yes | complemented |
| 567 | C22×C4 | — | 2 | 6 | no | — |
| 568 | C22×C4 | — | 5 | 3 | no | — |
| 569 | C22×C4 | — | 5 | 3 | no | — |
| 570 | C22×C4 | — | 5 | 6 | no | — |
| 571 | C22×C4 | — | 5 | 6 | no | — |
| 572 | C22×C4 | — | 5 | 3 | no | — |
| 573 | C22×C4 | — | 5 | 1 | no | — |
| 574 | C22×C4 | — | 5 | 6 | no | — |
| 575 | C22×C4 | — | 5 | 6 | no | — |
| 576 | C22×C4 | — | 5 | 3 | no | — |
| 577 | C22×C4 | — | 10 | 4 | no | — |
| 578 | C22×C4 | — | 10 | 12 | no | — |
| 579 | C22×C4 | — | 10 | 6 | no | — |
| 580 | C22×C4 | — | 10 | 12 | no | — |
| 581 | C22×C4 | — | 10 | 12 | no | — |
| 582 | C22×C4 | — | 10 | 6 | no | — |
| 583 | C22×C4 | — | 10 | 6 | no | — |
| 584 | C22×C4 | — | 10 | 1 | no | — |
| 585 | C22×C4 | — | 10 | 6 | no | — |
| 586 | C22×C4 | — | 10 | 3 | no | — |
| 587 | C22×C4 | — | 10 | 12 | no | — |
| 588 | C22×C4 | — | 20 | 12 | no | — |
| 589 | C22×C4 | C22×AGL(1,𝔽5) | 1 | 3 | yes | — |
| 590 | M16 | — | 5 | 8 | no | — |
| 591 | M16 | — | 10 | 4 | no | — |
| 592 | M16 | — | 10 | 12 | no | — |
| 593 | M16 | — | 10 | 12 | no | — |
| 594 | C2×C8 | — | 10 | 4 | no | — |
| 595 | C2×C8 | — | 10 | 12 | no | — |
| 596 | C2×C8 | — | 10 | 12 | no | — |
| 597 | C4⋊C4 | — | 10 | 12 | no | — |
| 598 | C22⋊C4 | — | 10 | 12 | no | — |
| 599 | C42 | — | 5 | 2 | no | — |
| 600 | C42 | — | 5 | 6 | no | — |
| 601 | C42 | — | 10 | 1 | no | — |
| 602 | C42 | — | 10 | 3 | no | — |
| 603 | C42 | — | 10 | 12 | no | — |
| 604 | C2×C5 | — | 2 | 1 | no | — |
| 605 | C2×C5 | — | 2 | 6 | no | — |
| 606 | C2×C5 | — | 4 | 4 | no | — |
| 607 | C2×C5 | C23×C22⋊C4 | 1 | 1 | yes | characteristic |
| 608 | D5 | — | 2 | 1 | no | — |
| 609 | D5 | — | 2 | 6 | no | — |
| 610 | D5 | — | 4 | 4 | no | — |
| 611 | D5 | #2901 | 1 | 2 | yes | complemented |
| 612 | C23 | — | 2 | 6 | no | — |
| 613 | C23 | — | 5 | 1 | no | — |
| 614 | C23 | — | 5 | 6 | no | — |
| 615 | C23 | — | 5 | 6 | no | — |
| 616 | C23 | — | 5 | 3 | no | — |
| 617 | C23 | — | 10 | 4 | no | — |
| 618 | C23 | — | 10 | 12 | no | — |
| 619 | C23 | — | 10 | 6 | no | — |
| 620 | C23 | — | 20 | 6 | no | — |
| 621 | C23 | — | 40 | 12 | no | — |
| 622 | C23 | C2×C22⋊AGL(1,𝔽5) | 1 | 3 | yes | — |
| 623 | Q8 | — | 2 | 6 | no | — |
| 624 | Q8 | — | 5 | 12 | no | — |
| 625 | Q8 | — | 5 | 4 | no | — |
| 626 | Q8 | — | 10 | 4 | no | — |
| 627 | Q8 | — | 10 | 12 | no | — |
| 628 | Q8 | — | 10 | 6 | no | — |
| 629 | Q8 | C2×C22⋊AGL(1,𝔽5) | 1 | 4 | yes | — |
| 630 | Q8 | C23×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 631 | D4 | — | 2 | 4 | no | — |
| 632 | D4 | — | 2 | 12 | no | — |
| 633 | D4 | — | 2 | 6 | no | — |
| 634 | D4 | — | 5 | 24 | no | — |
| 635 | D4 | — | 5 | 12 | no | — |
| 636 | D4 | — | 5 | 4 | no | — |
| 637 | D4 | — | 10 | 4 | no | — |
| 638 | D4 | — | 10 | 12 | no | — |
| 639 | D4 | — | 10 | 4 | no | — |
| 640 | D4 | — | 10 | 12 | no | — |
| 641 | D4 | — | 10 | 4 | no | — |
| 642 | D4 | — | 10 | 12 | no | — |
| 643 | D4 | — | 10 | 12 | no | — |
| 644 | D4 | — | 10 | 4 | no | — |
| 645 | D4 | — | 10 | 6 | no | — |
| 646 | D4 | C2×C22⋊AGL(1,𝔽5) | 1 | 12 | yes | — |
| 647 | D4 | C23×AGL(1,𝔽5) | 1 | 4 | yes | — |
| 648 | C2×C4 | — | 2 | 6 | no | — |
| 649 | C2×C4 | — | 2 | 12 | no | — |
| 650 | C2×C4 | — | 2 | 4 | no | — |
| 651 | C2×C4 | — | 5 | 6 | no | — |
| 652 | C2×C4 | — | 5 | 1 | no | — |
| 653 | C2×C4 | — | 5 | 3 | no | — |
| 654 | C2×C4 | — | 5 | 6 | no | — |
| 655 | C2×C4 | — | 5 | 6 | no | — |
| 656 | C2×C4 | — | 5 | 6 | no | — |
| 657 | C2×C4 | — | 5 | 6 | no | — |
| 658 | C2×C4 | — | 5 | 6 | no | — |
| 659 | C2×C4 | — | 5 | 1 | no | — |
| 660 | C2×C4 | — | 5 | 1 | no | — |
| 661 | C2×C4 | — | 5 | 6 | no | — |
| 662 | C2×C4 | — | 5 | 1 | no | — |
| 663 | C2×C4 | — | 5 | 1 | no | — |
| 664 | C2×C4 | — | 5 | 6 | no | — |
| 665 | C2×C4 | — | 10 | 4 | no | — |
| 666 | C2×C4 | — | 10 | 12 | no | — |
| 667 | C2×C4 | — | 10 | 4 | no | — |
| 668 | C2×C4 | — | 10 | 12 | no | — |
| 669 | C2×C4 | — | 10 | 4 | no | — |
| 670 | C2×C4 | — | 10 | 12 | no | — |
| 671 | C2×C4 | — | 10 | 2 | no | — |
| 672 | C2×C4 | — | 10 | 4 | no | — |
| 673 | C2×C4 | — | 10 | 6 | no | — |
| 674 | C2×C4 | — | 10 | 12 | no | — |
| 675 | C2×C4 | — | 10 | 4 | no | — |
| 676 | C2×C4 | — | 10 | 6 | no | — |
| 677 | C2×C4 | — | 20 | 24 | no | — |
| 678 | C2×C4 | — | 20 | 6 | no | — |
| 679 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 3 | yes | — |
| 680 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 6 | yes | — |
| 681 | C2×C4 | C23×AGL(1,𝔽5) | 1 | 6 | yes | — |
| 682 | C2×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 683 | C8 | — | 10 | 8 | no | — |
| 684 | C5 | C2×#2901 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 685 | C22 | — | 2 | 4 | no | — |
| 686 | C22 | — | 4 | 3 | no | — |
| 687 | C22 | — | 5 | 1 | no | — |
| 688 | C22 | — | 5 | 1 | no | — |
| 689 | C22 | — | 5 | 6 | no | — |
| 690 | C22 | — | 8 | 6 | no | — |
| 691 | C22 | — | 10 | 2 | no | — |
| 692 | C22 | — | 10 | 12 | no | — |
| 693 | C22 | — | 10 | 4 | no | — |
| 694 | C22 | — | 20 | 6 | no | — |
| 695 | C22 | — | 20 | 3 | no | — |
| 696 | C22 | — | 20 | 8 | no | — |
| 697 | C22 | — | 40 | 6 | no | — |
| 698 | C22 | — | 40 | 12 | no | — |
| 699 | C22 | C22×C22⋊AGL(1,𝔽5) | 1 | 6 | yes | — |
| 700 | C22 | C22×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 701 | C4 | — | 2 | 4 | no | — |
| 702 | C4 | — | 5 | 1 | no | — |
| 703 | C4 | — | 5 | 1 | no | — |
| 704 | C4 | — | 5 | 6 | no | — |
| 705 | C4 | — | 10 | 4 | no | — |
| 706 | C4 | — | 10 | 4 | no | — |
| 707 | C4 | — | 20 | 6 | no | — |
| 708 | C4 | C22×C22⋊AGL(1,𝔽5) | 1 | 6 | yes | — |
| 709 | C4 | C22×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 710 | C4 | C24×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 711 | C2 | — | 2 | 1 | no | — |
| 712 | C2 | — | 2 | 6 | no | — |
| 713 | C2 | — | 4 | 4 | no | — |
| 714 | C2 | — | 5 | 2 | no | — |
| 715 | C2 | — | 10 | 1 | no | — |
| 716 | C2 | — | 10 | 6 | no | — |
| 717 | C2 | — | 20 | 4 | no | — |
| 718 | C2 | C23×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#41×AGL(1,𝔽5) | C2 | semidirect |
| 3. D5⋊#568 | C2 | semidirect |
| 4. #10617562 | C2 | semidirect |
| 5. #10617560 | C2 | semidirect |
| 6. D5⋊#421 | C2 | semidirect |
| 7. C2×D5⋊#104 | C2 | semidirect |
| 8. C5×#585 | C4 | semidirect |
| 12. D5×2−1+4 | C4 | semidirect |
| 16. D5×H(5,𝔽2) | C4 | semidirect |
| 18. #66283 | C4 | semidirect |
| 19. #66283 | C4 | semidirect |
| 24. #41×AGL(1,𝔽5) | C22 | semidirect |
| 25. #66264 | C22 | semidirect |
| 31. C2×#4130 | C22 | semidirect |
| 32. C22×C4×AGL(1,𝔽5) | C22 | semidirect |
| 33. C2×D5⋊M16 | C22 | semidirect |
| 34. #65795 | C22 | semidirect |
| 35. D5⋊#104 | C22 | semidirect |
| 36. D5⋊#104 | C22 | semidirect |
| 37. D5⋊#104 | C22 | semidirect |
| 38. #65784 | C22 | semidirect |
| 39. C2×#4010 | C22 | semidirect |
| 40. #65769 | C22 | semidirect |
| 41. C2×#4008 | C22 | semidirect |
| 45. C5×2−1+4 | C2×C4 | semidirect |
| 47. C5×H(5,𝔽2) | C2×C4 | semidirect |
| 50. C2×C5×#41 | C2×C4 | semidirect |
| 54. #4150 | C2×C4 | semidirect |
| 55. #4150 | C2×C4 | semidirect |
| 59. #4149 | C2×C4 | semidirect |
| 60. #4149 | C2×C4 | semidirect |
| 72. D5×#41 | C2×C4 | semidirect |
| 73. D5×#41 | C2×C4 | semidirect |
| 82. #4147 | C2×C4 | semidirect |
| 87. C2×Q8×D5 | C2×C4 | semidirect |
| 93. #4144 | C2×C4 | semidirect |
| 100. C2×D4×D5 | C2×C4 | semidirect |
| 105. C2×#709 | C2×C4 | semidirect |
| 115. #4130 | C23 | semidirect |
| 121. C2×C4×AGL(1,𝔽5) | C23 | semidirect |
| 125. D5⋊M16 | C23 | semidirect |
| 126. C2×#700 | C23 | semidirect |
| 128. #4010 | C23 | semidirect |
| 129. #4010 | C23 | semidirect |
| 130. #4008 | C23 | semidirect |
| 131. #4008 | C23 | semidirect |
| 152. C5×#41 | C22×C4 | semidirect |
| 155. C2×C5×Q8 | C22×C4 | semidirect |
| 159. C2×C5×D4 | C22×C4 | semidirect |
| 174. #713 | C22×C4 | semidirect |
| 183. Q8×D5 | C22×C4 | semidirect |
| 195. #711 | C22×C4 | semidirect |
| 209. D4×D5 | C22×C4 | semidirect |
| 223. #709 | C22×C4 | semidirect |
| 227. C2×D20 | C22×C4 | semidirect |
| 246. C2×Dic10 | C22×C4 | semidirect |
| 268. #585 | AGL(1,𝔽5) | semidirect |
| 377. 2−1+4 | C2×AGL(1,𝔽5) | semidirect |
| 389. H(5,𝔽2) | C2×AGL(1,𝔽5) | semidirect |
| 421. C2×#41 | C2×AGL(1,𝔽5) | semidirect |
| 525. #41 | C22×AGL(1,𝔽5) | semidirect |
| 540. C2×Q8 | C22×AGL(1,𝔽5) | semidirect |
| 566. C2×D4 | C22×AGL(1,𝔽5) | semidirect |
| 611. D5 | #2901 | semidirect |
| 684. C5 | C2×#2901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#585 | 2 |
| C2×#41×AGL(1,𝔽5) | 2 |
| D5⋊#568 | 2 |
| #10617562 | 2 |
| #10617560 | 2 |
| D5⋊#421 | 2 |
| C2×D5⋊#104 | 2 |
| C2×#2901 | 5 |