Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1362 conjugacy classes of subgroups.
The subgroup lattice has 944 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10618239 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10617555 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10617541 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10604975 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10604528 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10604527 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10604522 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10604521 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10604380 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C2×D5×#41 | C22 | 1 | 1 | yes | characteristic |
| 11 | C22×#713 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#4130 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | C22×C4×AGL(1,𝔽5) | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | C2×D5⋊M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | C22×#700 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | C5×#536 | C4 | 1 | 1 | yes | characteristic, complemented |
| 17 | #66164 | C4 | 1 | 1 | yes | characteristic, complemented |
| 18 | #66150 | C4 | 1 | 1 | yes | characteristic, complemented |
| 19 | #66059 | — | 2 | 1 | no | — |
| 20 | #66058 | — | 2 | 1 | no | — |
| 21 | #66008 | — | 2 | 1 | no | — |
| 22 | #66002 | — | 2 | 1 | no | — |
| 23 | #65990 | — | 2 | 1 | no | — |
| 24 | #65990 | — | 2 | 1 | no | — |
| 25 | #65987 | — | 2 | 1 | no | — |
| 26 | #65987 | — | 2 | 1 | no | — |
| 27 | #65963 | C4 | 1 | 2 | yes | complemented |
| 28 | #65963 | C4 | 1 | 2 | yes | complemented |
| 29 | #65961 | C22 | 1 | 2 | yes | — |
| 30 | #65961 | C22 | 1 | 2 | yes | — |
| 31 | #65859 | C4 | 1 | 1 | yes | characteristic, complemented |
| 32 | D5×#117 | C22 | 1 | 1 | yes | characteristic |
| 33 | (C2×AGL(1,𝔽5))⋊Q8 | — | 2 | 1 | no | — |
| 34 | #65787 | — | 2 | 1 | no | — |
| 35 | C2×#4010 | C22 | 1 | 2 | yes | — |
| 36 | C2×#4010 | C22 | 1 | 2 | yes | — |
| 37 | C2×#4010 | C22 | 1 | 2 | yes | — |
| 38 | C2×#4010 | C22 | 1 | 2 | yes | — |
| 39 | #65780 | — | 2 | 1 | no | — |
| 40 | #65779 | — | 2 | 1 | no | — |
| 41 | #65779 | — | 2 | 1 | no | — |
| 42 | #65776 | — | 2 | 1 | no | — |
| 43 | #65775 | — | 2 | 1 | no | — |
| 44 | #65775 | — | 2 | 1 | no | — |
| 45 | C4×C22⋊AGL(1,𝔽5) | C22 | 1 | 2 | yes | — |
| 46 | C4×C22⋊AGL(1,𝔽5) | C22 | 1 | 2 | yes | complemented |
| 47 | #65756 | C22 | 1 | 2 | yes | — |
| 48 | #65756 | C22 | 1 | 2 | yes | complemented |
| 49 | #64875 | C22 | 1 | 2 | yes | complemented |
| 50 | #64875 | C22 | 1 | 2 | yes | complemented |
| 51 | #64875 | C22 | 1 | 2 | yes | complemented |
| 52 | #64875 | C22 | 1 | 2 | yes | complemented |
| 53 | #21775 | — | 5 | 1 | no | maximal, Sylow |
| 54 | C23×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 55 | C2×C5×#41 | C2×C4 | 1 | 1 | yes | characteristic |
| 56 | C22×C5×Q8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 57 | D5×#41 | — | 4 | 1 | no | — |
| 58 | D5×#41 | — | 4 | 1 | no | — |
| 59 | D5×#41 | — | 4 | 1 | no | — |
| 60 | D5×#41 | — | 4 | 1 | no | — |
| 61 | C2×#713 | — | 2 | 1 | no | — |
| 62 | C2×#713 | — | 2 | 1 | no | — |
| 63 | C2×#713 | — | 4 | 1 | no | — |
| 64 | C2×#713 | — | 4 | 1 | no | — |
| 65 | C2×#713 | — | 4 | 1 | no | — |
| 66 | C2×#713 | — | 4 | 1 | no | — |
| 67 | C2×#713 | C2×C4 | 1 | 2 | yes | complemented |
| 68 | C2×#713 | D4 | 1 | 1 | yes | characteristic |
| 69 | C2×#713 | C23 | 1 | 2 | yes | — |
| 70 | C2×Q8×D5 | D4 | 1 | 1 | yes | characteristic |
| 71 | C2×#711 | D4 | 1 | 1 | yes | characteristic |
| 72 | C2×#711 | D4 | 1 | 1 | yes | characteristic |
| 73 | C2×#711 | D4 | 1 | 1 | yes | characteristic |
| 74 | C2×D4×D5 | D4 | 1 | 1 | yes | characteristic |
| 75 | C2×D4×D5 | D4 | 1 | 1 | yes | characteristic |
| 76 | C2×D4×D5 | D4 | 1 | 1 | yes | characteristic |
| 77 | C2×#709 | C2×C4 | 1 | 1 | yes | characteristic |
| 78 | C2×#709 | C2×C4 | 1 | 1 | yes | characteristic |
| 79 | C2×#709 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | C22×D20 | — | 2 | 1 | no | — |
| 81 | C22×D20 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 82 | C22×C4×D5 | — | 2 | 1 | no | — |
| 83 | C22×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 84 | C22×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 85 | C22×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C22⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 87 | C2×C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 88 | C2×C22⋊AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 89 | C2×#704 | — | 2 | 1 | no | — |
| 90 | C22×#170 | — | 2 | 1 | no | — |
| 91 | #4130 | — | 4 | 1 | no | — |
| 92 | #4130 | — | 4 | 1 | no | — |
| 93 | C2×C4⋊AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 94 | C2×C4×AGL(1,𝔽5) | — | 2 | 1 | no | — |
| 95 | C2×C4×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 96 | C2×C4×AGL(1,𝔽5) | — | 4 | 1 | no | — |
| 97 | C2×C4×AGL(1,𝔽5) | C23 | 1 | 2 | yes | — |
| 98 | C2×C4×AGL(1,𝔽5) | C23 | 1 | 2 | yes | — |
| 99 | D5⋊M16 | — | 4 | 1 | no | — |
| 100 | D5⋊M16 | — | 4 | 1 | no | — |
| 101 | C2×#700 | — | 2 | 1 | no | — |
| 102 | C2×#700 | — | 4 | 1 | no | — |
| 103 | C2×#700 | — | 4 | 1 | no | — |
| 104 | C2×#700 | C23 | 1 | 2 | yes | — |
| 105 | C2×#700 | C23 | 1 | 2 | yes | — |
| 106 | C2×D5⋊C8 | — | 2 | 1 | no | — |
| 107 | C5×C4⋊Q8 | — | 2 | 1 | no | — |
| 108 | C5×#124 | — | 2 | 1 | no | — |
| 109 | C5×#123 | — | 2 | 1 | no | — |
| 110 | C5×#123 | — | 2 | 1 | no | — |
| 111 | C5×C22⋊Q8 | C2×C4 | 1 | 2 | yes | — |
| 112 | C5×C22⋊Q8 | C2×C4 | 1 | 2 | yes | complemented |
| 113 | C5×#117 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 114 | #4093 | — | 2 | 1 | no | — |
| 115 | #4093 | — | 2 | 1 | no | — |
| 116 | #4092 | C2×C4 | 1 | 2 | yes | — |
| 117 | #4092 | C2×C4 | 1 | 2 | yes | complemented |
| 118 | #4090 | — | 2 | 1 | no | — |
| 119 | #4086 | — | 2 | 1 | no | — |
| 120 | #4083 | — | 2 | 1 | no | — |
| 121 | #4083 | — | 2 | 1 | no | — |
| 122 | #4076 | C2×C4 | 1 | 2 | yes | — |
| 123 | #4076 | C2×C4 | 1 | 2 | yes | complemented |
| 124 | #4075 | — | 2 | 1 | no | — |
| 125 | #4075 | — | 2 | 1 | no | — |
| 126 | #4072 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 127 | #4042 | — | 2 | 2 | no | — |
| 128 | #4042 | — | 2 | 2 | no | — |
| 129 | #4041 | — | 2 | 2 | no | — |
| 130 | #4041 | — | 2 | 2 | no | — |
| 131 | #4041 | C2×C4 | 1 | 2 | yes | — |
| 132 | #4041 | C2×C4 | 1 | 2 | yes | complemented |
| 133 | #4040 | — | 2 | 2 | no | — |
| 134 | #4040 | — | 2 | 2 | no | — |
| 135 | #4039 | — | 2 | 2 | no | — |
| 136 | #4039 | — | 2 | 2 | no | — |
| 137 | #4038 | C23 | 1 | 2 | yes | — |
| 138 | D5×C4⋊C4 | C2×C4 | 1 | 2 | yes | complemented |
| 139 | #4030 | — | 2 | 2 | no | — |
| 140 | #4030 | — | 2 | 2 | no | — |
| 141 | #4030 | — | 2 | 2 | no | — |
| 142 | #4030 | — | 2 | 2 | no | — |
| 143 | #4028 | — | 2 | 2 | no | — |
| 144 | #4028 | — | 2 | 2 | no | — |
| 145 | #4028 | — | 2 | 1 | no | — |
| 146 | #4028 | — | 2 | 1 | no | — |
| 147 | #4027 | — | 2 | 2 | no | — |
| 148 | #4027 | — | 2 | 2 | no | — |
| 149 | D5×C22⋊C4 | — | 2 | 1 | no | — |
| 150 | #4023 | — | 2 | 1 | no | — |
| 151 | #4021 | — | 2 | 1 | no | — |
| 152 | #4020 | — | 2 | 1 | no | — |
| 153 | #4018 | — | 2 | 1 | no | — |
| 154 | C42×D5 | — | 2 | 1 | no | — |
| 155 | C22⋊#170 | — | 2 | 2 | no | — |
| 156 | C22⋊#170 | — | 2 | 2 | no | — |
| 157 | #4010 | — | 4 | 2 | no | — |
| 158 | #4010 | — | 4 | 2 | no | — |
| 159 | #4010 | — | 4 | 2 | no | — |
| 160 | #4010 | — | 4 | 2 | no | — |
| 161 | (C2×AGL(1,𝔽5))⋊C4 | — | 2 | 2 | no | — |
| 162 | (C2×AGL(1,𝔽5))⋊C4 | — | 2 | 2 | no | — |
| 163 | #4003 | — | 2 | 2 | no | — |
| 164 | #4003 | — | 2 | 2 | no | — |
| 165 | #3449 | — | 5 | 1 | no | — |
| 166 | #2879 | — | 5 | 1 | no | — |
| 167 | #2297 | — | 5 | 1 | no | — |
| 168 | #1897 | — | 5 | 2 | no | — |
| 169 | #1896 | — | 5 | 2 | no | — |
| 170 | #1871 | — | 5 | 2 | no | — |
| 171 | #1871 | — | 5 | 2 | no | — |
| 172 | #1826 | — | 5 | 2 | no | — |
| 173 | #1789 | — | 5 | 2 | no | — |
| 174 | C23×D5 | — | 2 | 1 | no | — |
| 175 | C23×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 176 | C23×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 177 | C23×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 178 | C22×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 179 | C22×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 180 | C22×AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 181 | C22×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 182 | C5×#41 | — | 4 | 1 | no | — |
| 183 | C5×#41 | — | 4 | 1 | no | — |
| 184 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 185 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 186 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 187 | C2×C5×Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 188 | C2×C5×Q8 | C22×C4 | 1 | 2 | yes | — |
| 189 | C2×C5×D4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 190 | C2×C5×D4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 191 | C2×C5×D4 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 192 | C22×C4×C5 | — | 2 | 1 | no | — |
| 193 | C22×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 194 | C22×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 195 | C22×C4×C5 | C22×C4 | 1 | 1 | yes | characteristic |
| 196 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 197 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 198 | C2×C22⋊D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 199 | C2×C22⋊D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 200 | C2×C22⋊D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 201 | C2×C22⋊D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 202 | C2×C22⋊D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 203 | C2×C22⋊D5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 204 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 205 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C22×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | #713 | — | 2 | 2 | no | — |
| 208 | #713 | — | 2 | 2 | no | — |
| 209 | #713 | — | 2 | 2 | no | — |
| 210 | #713 | — | 2 | 2 | no | — |
| 211 | #713 | — | 4 | 1 | no | — |
| 212 | #713 | — | 4 | 1 | no | — |
| 213 | #713 | — | 4 | 2 | no | — |
| 214 | #713 | — | 4 | 2 | no | — |
| 215 | #713 | — | 4 | 2 | no | — |
| 216 | #713 | — | 4 | 2 | no | — |
| 217 | #713 | — | 4 | 2 | no | — |
| 218 | #713 | — | 4 | 2 | no | — |
| 219 | Q8×D5 | — | 4 | 1 | no | — |
| 220 | Q8×D5 | — | 4 | 1 | no | — |
| 221 | #711 | — | 4 | 1 | no | — |
| 222 | #711 | — | 4 | 1 | no | — |
| 223 | #711 | — | 4 | 1 | no | — |
| 224 | #711 | — | 4 | 1 | no | — |
| 225 | #711 | — | 4 | 1 | no | — |
| 226 | #711 | — | 4 | 1 | no | — |
| 227 | D4×D5 | — | 4 | 1 | no | — |
| 228 | D4×D5 | — | 4 | 1 | no | — |
| 229 | D4×D5 | — | 4 | 1 | no | — |
| 230 | D4×D5 | — | 4 | 1 | no | — |
| 231 | D4×D5 | — | 4 | 1 | no | — |
| 232 | D4×D5 | — | 4 | 1 | no | — |
| 233 | #709 | — | 4 | 1 | no | — |
| 234 | #709 | — | 4 | 1 | no | — |
| 235 | #709 | — | 4 | 1 | no | — |
| 236 | #709 | — | 4 | 1 | no | — |
| 237 | #709 | — | 4 | 1 | no | — |
| 238 | #709 | — | 4 | 1 | no | — |
| 239 | C2×D20 | — | 2 | 2 | no | — |
| 240 | C2×D20 | — | 2 | 2 | no | — |
| 241 | C2×D20 | — | 2 | 1 | no | — |
| 242 | C2×D20 | — | 2 | 2 | no | — |
| 243 | C2×D20 | — | 2 | 2 | no | — |
| 244 | C2×D20 | — | 4 | 1 | no | — |
| 245 | C2×D20 | — | 4 | 1 | no | — |
| 246 | C2×D20 | — | 4 | 2 | no | — |
| 247 | C2×D20 | — | 4 | 2 | no | — |
| 248 | C2×D20 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 249 | C2×D20 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 250 | C2×D20 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 251 | C2×D20 | C22×C4 | 1 | 2 | yes | — |
| 252 | C2×C4×D5 | — | 2 | 1 | no | — |
| 253 | C2×C4×D5 | — | 2 | 1 | no | — |
| 254 | C2×C4×D5 | — | 2 | 1 | no | — |
| 255 | C2×C4×D5 | — | 2 | 1 | no | — |
| 256 | C2×C4×D5 | — | 2 | 1 | no | — |
| 257 | C2×C4×D5 | — | 2 | 1 | no | — |
| 258 | C2×C4×D5 | — | 2 | 1 | no | — |
| 259 | C2×C4×D5 | — | 2 | 1 | no | — |
| 260 | C2×C4×D5 | — | 2 | 1 | no | — |
| 261 | C2×C4×D5 | — | 2 | 1 | no | — |
| 262 | C2×C4×D5 | — | 2 | 1 | no | — |
| 263 | C2×C4×D5 | — | 2 | 1 | no | — |
| 264 | C2×C4×D5 | — | 2 | 2 | no | — |
| 265 | C2×C4×D5 | — | 2 | 2 | no | — |
| 266 | C2×C4×D5 | — | 2 | 2 | no | — |
| 267 | C2×C4×D5 | — | 4 | 2 | no | — |
| 268 | C2×C4×D5 | — | 4 | 2 | no | — |
| 269 | C2×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 270 | C2×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 271 | C2×C4×D5 | C22×C4 | 1 | 1 | yes | characteristic |
| 272 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 275 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 276 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 277 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 278 | C2×C4×D5 | C24 | 1 | 1 | yes | characteristic |
| 279 | C2×Dic10 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 280 | C2×Dic10 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 281 | C2×Dic10 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 282 | C22⋊AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 283 | C22⋊AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 284 | C22⋊AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 285 | #704 | — | 4 | 2 | no | — |
| 286 | C2×#170 | — | 2 | 2 | no | — |
| 287 | C2×#170 | — | 2 | 2 | no | — |
| 288 | C2×#170 | — | 4 | 2 | no | — |
| 289 | C4⋊AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 290 | C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 291 | C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 292 | C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 293 | C4×AGL(1,𝔽5) | — | 2 | 2 | no | — |
| 294 | C4×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 295 | #700 | — | 2 | 2 | no | — |
| 296 | #700 | — | 2 | 2 | no | — |
| 297 | #700 | — | 2 | 2 | no | — |
| 298 | #700 | — | 2 | 2 | no | — |
| 299 | #700 | — | 4 | 2 | no | — |
| 300 | D5⋊C8 | — | 4 | 2 | no | — |
| 301 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 302 | C5×C4⋊C4 | — | 2 | 2 | no | — |
| 303 | C5×C4⋊C4 | C22×C4 | 1 | 2 | yes | — |
| 304 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 305 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 306 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 307 | C42×C5 | — | 2 | 1 | no | — |
| 308 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 309 | #685 | — | 2 | 2 | no | — |
| 310 | #685 | — | 2 | 2 | no | — |
| 311 | #685 | — | 2 | 2 | no | — |
| 312 | #685 | — | 2 | 2 | no | — |
| 313 | #685 | — | 2 | 2 | no | — |
| 314 | #685 | — | 2 | 2 | no | — |
| 315 | #685 | — | 2 | 2 | no | — |
| 316 | C4⋊Dic5 | C22×C4 | 1 | 2 | yes | — |
| 317 | #683 | — | 2 | 2 | no | — |
| 318 | #683 | — | 2 | 2 | no | — |
| 319 | #683 | — | 2 | 2 | no | — |
| 320 | C4×Dic5 | — | 2 | 1 | no | — |
| 321 | C4×Dic5 | — | 2 | 2 | no | — |
| 322 | C22×#41 | — | 5 | 1 | no | — |
| 323 | C22×#41 | — | 5 | 1 | no | — |
| 324 | C22×M16 | — | 5 | 1 | no | — |
| 325 | C22×M16 | — | 5 | 1 | no | — |
| 326 | #537 | — | 5 | 2 | no | — |
| 327 | #537 | — | 5 | 2 | no | — |
| 328 | #536 | — | 5 | 1 | no | — |
| 329 | #536 | — | 10 | 1 | no | — |
| 330 | #536 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 331 | #535 | — | 5 | 1 | no | — |
| 332 | #535 | — | 5 | 1 | no | — |
| 333 | #535 | — | 10 | 1 | no | — |
| 334 | #534 | — | 10 | 1 | no | — |
| 335 | #534 | — | 10 | 1 | no | — |
| 336 | #532 | — | 10 | 1 | no | — |
| 337 | #532 | — | 10 | 1 | no | — |
| 338 | #525 | — | 5 | 2 | no | — |
| 339 | #525 | — | 5 | 2 | no | — |
| 340 | #525 | — | 10 | 1 | no | — |
| 341 | #525 | — | 10 | 1 | no | — |
| 342 | C2×#117 | — | 5 | 1 | no | — |
| 343 | C2×#117 | — | 5 | 1 | no | — |
| 344 | C22×C42 | — | 5 | 1 | no | — |
| 345 | C2×#104 | — | 5 | 2 | no | — |
| 346 | C2×#104 | — | 5 | 2 | no | — |
| 347 | C2×#104 | — | 5 | 2 | no | — |
| 348 | C2×#104 | — | 5 | 2 | no | — |
| 349 | #408 | — | 10 | 1 | no | — |
| 350 | #408 | — | 10 | 1 | no | — |
| 351 | #408 | — | 10 | 1 | no | — |
| 352 | #408 | — | 10 | 1 | no | — |
| 353 | #407 | — | 5 | 2 | no | — |
| 354 | #407 | — | 5 | 2 | no | — |
| 355 | #391 | — | 10 | 1 | no | — |
| 356 | #390 | — | 10 | 1 | no | — |
| 357 | #386 | — | 10 | 1 | no | — |
| 358 | #386 | — | 10 | 1 | no | — |
| 359 | C4×C22⋊C4 | — | 5 | 2 | no | — |
| 360 | C4×C22⋊C4 | — | 5 | 2 | no | — |
| 361 | #339 | — | 5 | 2 | no | — |
| 362 | #339 | — | 5 | 2 | no | — |
| 363 | #339 | — | 5 | 2 | no | — |
| 364 | #339 | — | 5 | 2 | no | — |
| 365 | C23×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 366 | C23×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 367 | C23×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 368 | C22×D5 | — | 2 | 1 | no | — |
| 369 | C22×D5 | — | 2 | 1 | no | — |
| 370 | C22×D5 | — | 2 | 1 | no | — |
| 371 | C22×D5 | — | 2 | 1 | no | — |
| 372 | C22×D5 | — | 2 | 1 | no | — |
| 373 | C22×D5 | — | 2 | 1 | no | — |
| 374 | C22×D5 | — | 2 | 2 | no | — |
| 375 | C22×D5 | — | 4 | 2 | no | — |
| 376 | C22×D5 | — | 4 | 2 | no | — |
| 377 | C22×D5 | — | 4 | 2 | no | — |
| 378 | C22×D5 | — | 4 | 2 | no | — |
| 379 | C22×D5 | — | 8 | 2 | no | — |
| 380 | C22×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 381 | C22×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 382 | C22×D5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 383 | C22×D5 | C22×D4 | 1 | 1 | yes | characteristic |
| 384 | C2×AGL(1,𝔽5) | — | 2 | 4 | no | — |
| 385 | C2×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 386 | C2×AGL(1,𝔽5) | — | 4 | 8 | no | — |
| 387 | C2×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 388 | C2×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 389 | C2×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 390 | C2×AGL(1,𝔽5) | — | 4 | 2 | no | — |
| 391 | C5×Q8 | — | 2 | 2 | no | — |
| 392 | C5×Q8 | — | 2 | 2 | no | — |
| 393 | C5×Q8 | — | 4 | 1 | no | — |
| 394 | C5×Q8 | — | 4 | 2 | no | — |
| 395 | C5×D4 | — | 4 | 1 | no | — |
| 396 | C5×D4 | — | 4 | 1 | no | — |
| 397 | C5×D4 | — | 4 | 1 | no | — |
| 398 | C2×C4×C5 | — | 2 | 1 | no | — |
| 399 | C2×C4×C5 | — | 2 | 1 | no | — |
| 400 | C2×C4×C5 | — | 2 | 1 | no | — |
| 401 | C2×C4×C5 | — | 2 | 1 | no | — |
| 402 | C2×C4×C5 | — | 2 | 1 | no | — |
| 403 | C2×C4×C5 | — | 2 | 1 | no | — |
| 404 | C2×C4×C5 | — | 2 | 2 | no | — |
| 405 | C2×C4×C5 | — | 2 | 2 | no | — |
| 406 | C2×C4×C5 | — | 4 | 2 | no | — |
| 407 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 408 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 409 | C2×C4×C5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 410 | C2×C4×C5 | C23×C4 | 1 | 1 | yes | characteristic |
| 411 | C22⋊D5 | — | 4 | 1 | no | — |
| 412 | C22⋊D5 | — | 4 | 1 | no | — |
| 413 | C22⋊D5 | — | 4 | 1 | no | — |
| 414 | C22⋊D5 | — | 4 | 1 | no | — |
| 415 | C22⋊D5 | — | 4 | 1 | no | — |
| 416 | C22⋊D5 | — | 4 | 1 | no | — |
| 417 | C22⋊D5 | — | 8 | 2 | no | — |
| 418 | C22⋊D5 | — | 8 | 2 | no | — |
| 419 | C2×Dic5 | — | 2 | 1 | no | — |
| 420 | C2×Dic5 | — | 2 | 1 | no | — |
| 421 | C2×Dic5 | — | 2 | 1 | no | — |
| 422 | C2×Dic5 | — | 2 | 1 | no | — |
| 423 | C2×Dic5 | — | 2 | 1 | no | — |
| 424 | C2×Dic5 | — | 2 | 1 | no | — |
| 425 | C2×Dic5 | — | 2 | 2 | no | — |
| 426 | C2×Dic5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 427 | C2×Dic5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 428 | C2×Dic5 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 429 | C2×Dic5 | C22×D4 | 1 | 1 | yes | characteristic |
| 430 | D20 | — | 2 | 2 | no | — |
| 431 | D20 | — | 2 | 2 | no | — |
| 432 | D20 | — | 4 | 1 | no | — |
| 433 | D20 | — | 4 | 1 | no | — |
| 434 | D20 | — | 4 | 1 | no | — |
| 435 | D20 | — | 4 | 2 | no | — |
| 436 | D20 | — | 4 | 4 | no | — |
| 437 | D20 | — | 4 | 2 | no | — |
| 438 | D20 | — | 4 | 2 | no | — |
| 439 | D20 | — | 8 | 2 | no | — |
| 440 | D20 | — | 8 | 2 | no | — |
| 441 | C4×D5 | — | 2 | 1 | no | — |
| 442 | C4×D5 | — | 2 | 1 | no | — |
| 443 | C4×D5 | — | 2 | 1 | no | — |
| 444 | C4×D5 | — | 2 | 1 | no | — |
| 445 | C4×D5 | — | 2 | 1 | no | — |
| 446 | C4×D5 | — | 2 | 1 | no | — |
| 447 | C4×D5 | — | 2 | 1 | no | — |
| 448 | C4×D5 | — | 2 | 1 | no | — |
| 449 | C4×D5 | — | 2 | 1 | no | — |
| 450 | C4×D5 | — | 2 | 1 | no | — |
| 451 | C4×D5 | — | 2 | 1 | no | — |
| 452 | C4×D5 | — | 2 | 1 | no | — |
| 453 | C4×D5 | — | 2 | 1 | no | — |
| 454 | C4×D5 | — | 2 | 1 | no | — |
| 455 | C4×D5 | — | 2 | 1 | no | — |
| 456 | C4×D5 | — | 2 | 1 | no | — |
| 457 | C4×D5 | — | 2 | 1 | no | — |
| 458 | C4×D5 | — | 2 | 1 | no | — |
| 459 | C4×D5 | — | 4 | 4 | no | — |
| 460 | C4×D5 | — | 4 | 2 | no | — |
| 461 | C4×D5 | — | 4 | 2 | no | — |
| 462 | C4×D5 | — | 8 | 2 | no | — |
| 463 | C4×D5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 464 | C4×D5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 465 | C4×D5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 466 | C4×D5 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 467 | Dic10 | — | 4 | 1 | no | — |
| 468 | Dic10 | — | 4 | 1 | no | — |
| 469 | Dic10 | — | 4 | 1 | no | — |
| 470 | #170 | — | 4 | 2 | no | — |
| 471 | #170 | — | 4 | 2 | no | — |
| 472 | C2×#41 | — | 5 | 1 | no | — |
| 473 | C2×#41 | — | 5 | 1 | no | — |
| 474 | C2×#41 | — | 5 | 1 | no | — |
| 475 | C2×#41 | — | 5 | 1 | no | — |
| 476 | C2×#41 | — | 5 | 1 | no | — |
| 477 | C2×#41 | — | 5 | 1 | no | — |
| 478 | C2×#41 | — | 5 | 1 | no | — |
| 479 | C2×#41 | — | 5 | 2 | no | — |
| 480 | C2×#41 | — | 5 | 2 | no | — |
| 481 | C2×#41 | — | 10 | 1 | no | — |
| 482 | C2×#41 | — | 10 | 1 | no | — |
| 483 | C2×#41 | — | 20 | 1 | no | — |
| 484 | C2×#41 | — | 20 | 1 | no | — |
| 485 | C2×#41 | — | 20 | 1 | no | — |
| 486 | C2×#41 | — | 20 | 1 | no | — |
| 487 | C2×#41 | — | 20 | 1 | no | — |
| 488 | C2×#41 | — | 20 | 1 | no | — |
| 489 | C2×#41 | — | 20 | 1 | no | — |
| 490 | C2×#41 | — | 20 | 1 | no | — |
| 491 | C2×#41 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 492 | C22×Q8 | — | 5 | 1 | no | — |
| 493 | C22×Q8 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 494 | C22×D4 | — | 5 | 1 | no | — |
| 495 | C22×D4 | — | 5 | 1 | no | — |
| 496 | C22×D4 | — | 5 | 1 | no | — |
| 497 | C22×D4 | — | 5 | 1 | no | — |
| 498 | C22×D4 | — | 10 | 1 | no | — |
| 499 | C23×C4 | — | 5 | 1 | no | — |
| 500 | C23×C4 | — | 5 | 1 | no | — |
| 501 | C23×C4 | — | 5 | 1 | no | — |
| 502 | C23×C4 | — | 10 | 1 | no | — |
| 503 | C23×C4 | — | 10 | 1 | no | — |
| 504 | C2×M16 | — | 5 | 2 | no | — |
| 505 | C2×M16 | — | 5 | 2 | no | — |
| 506 | C2×M16 | — | 10 | 1 | no | — |
| 507 | C2×M16 | — | 10 | 1 | no | — |
| 508 | C2×M16 | — | 20 | 1 | no | — |
| 509 | C2×M16 | — | 20 | 1 | no | — |
| 510 | C2×M16 | — | 20 | 1 | no | — |
| 511 | C2×M16 | — | 20 | 1 | no | — |
| 512 | C22×C8 | — | 10 | 1 | no | — |
| 513 | C22×C8 | — | 10 | 1 | no | — |
| 514 | C4⋊Q8 | — | 2 | 1 | no | — |
| 515 | C4⋊Q8 | — | 10 | 1 | no | — |
| 516 | #127 | — | 10 | 1 | no | — |
| 517 | #127 | — | 10 | 1 | no | — |
| 518 | #124 | — | 2 | 1 | no | — |
| 519 | #124 | — | 10 | 1 | no | — |
| 520 | #124 | — | 10 | 1 | no | — |
| 521 | #124 | — | 10 | 1 | no | — |
| 522 | #123 | — | 2 | 1 | no | — |
| 523 | #123 | — | 2 | 1 | no | — |
| 524 | #123 | — | 10 | 2 | no | — |
| 525 | #123 | — | 10 | 2 | no | — |
| 526 | #123 | — | 10 | 1 | no | — |
| 527 | #123 | — | 10 | 1 | no | — |
| 528 | C22⋊Q8 | — | 5 | 2 | no | — |
| 529 | C22⋊Q8 | — | 5 | 2 | no | — |
| 530 | C22⋊Q8 | — | 10 | 2 | no | — |
| 531 | C22⋊Q8 | — | 10 | 2 | no | — |
| 532 | C22⋊Q8 | C2×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 533 | C22⋊Q8 | C2×AGL(1,𝔽5) | 1 | 2 | yes | complemented |
| 534 | #121 | — | 5 | 2 | no | — |
| 535 | #121 | — | 5 | 2 | no | — |
| 536 | #121 | — | 5 | 2 | no | — |
| 537 | #121 | — | 5 | 2 | no | — |
| 538 | #121 | — | 10 | 2 | no | — |
| 539 | #121 | — | 10 | 2 | no | — |
| 540 | #121 | — | 10 | 2 | no | — |
| 541 | #121 | — | 10 | 2 | no | — |
| 542 | #121 | — | 10 | 2 | no | — |
| 543 | #121 | — | 10 | 2 | no | — |
| 544 | #120 | — | 10 | 1 | no | — |
| 545 | #120 | — | 10 | 1 | no | — |
| 546 | #120 | — | 10 | 2 | no | — |
| 547 | #120 | — | 10 | 2 | no | — |
| 548 | #120 | — | 10 | 1 | no | — |
| 549 | #120 | — | 10 | 1 | no | — |
| 550 | C4×D4 | — | 10 | 2 | no | — |
| 551 | C4×D4 | — | 10 | 2 | no | — |
| 552 | C4×D4 | — | 10 | 2 | no | — |
| 553 | C4×D4 | — | 10 | 2 | no | — |
| 554 | #117 | — | 5 | 1 | no | — |
| 555 | #117 | — | 5 | 2 | no | — |
| 556 | #117 | — | 10 | 1 | no | — |
| 557 | #117 | — | 10 | 1 | no | — |
| 558 | #117 | — | 20 | 1 | no | — |
| 559 | #117 | — | 20 | 1 | no | — |
| 560 | #117 | C2×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented |
| 561 | C2×C4⋊C4 | — | 5 | 2 | no | — |
| 562 | C2×C4⋊C4 | — | 10 | 1 | no | — |
| 563 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 564 | C2×C22⋊C4 | — | 10 | 1 | no | — |
| 565 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 566 | C2×C22⋊C4 | — | 10 | 2 | no | — |
| 567 | C2×C42 | — | 5 | 2 | no | — |
| 568 | C2×C42 | — | 5 | 2 | no | — |
| 569 | C2×C42 | — | 10 | 1 | no | — |
| 570 | C2×C42 | — | 10 | 1 | no | — |
| 571 | C2×C42 | — | 20 | 1 | no | — |
| 572 | C2×C42 | — | 20 | 1 | no | — |
| 573 | #104 | — | 20 | 2 | no | — |
| 574 | #104 | — | 20 | 2 | no | — |
| 575 | #104 | — | 20 | 2 | no | — |
| 576 | #104 | — | 20 | 2 | no | — |
| 577 | C22⋊C8 | — | 10 | 2 | no | — |
| 578 | C22⋊C8 | — | 10 | 2 | no | — |
| 579 | C22⋊C8 | — | 10 | 2 | no | — |
| 580 | C22⋊C8 | — | 10 | 2 | no | — |
| 581 | #95 | — | 10 | 2 | no | — |
| 582 | #95 | — | 10 | 2 | no | — |
| 583 | C22×C5 | — | 2 | 1 | no | — |
| 584 | C22×C5 | — | 2 | 1 | no | — |
| 585 | C22×C5 | — | 2 | 1 | no | — |
| 586 | C22×C5 | — | 2 | 2 | no | — |
| 587 | C22×C5 | — | 2 | 2 | no | — |
| 588 | C22×C5 | — | 2 | 2 | no | — |
| 589 | C22×C5 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 590 | C2×D5 | — | 2 | 2 | no | — |
| 591 | C2×D5 | — | 2 | 1 | no | — |
| 592 | C2×D5 | — | 2 | 1 | no | — |
| 593 | C2×D5 | — | 2 | 1 | no | — |
| 594 | C2×D5 | — | 2 | 2 | no | — |
| 595 | C2×D5 | — | 2 | 2 | no | — |
| 596 | C2×D5 | — | 2 | 2 | no | — |
| 597 | C2×D5 | — | 4 | 2 | no | — |
| 598 | C2×D5 | — | 4 | 2 | no | — |
| 599 | C2×D5 | — | 4 | 2 | no | — |
| 600 | C2×D5 | — | 4 | 2 | no | — |
| 601 | C2×D5 | — | 4 | 2 | no | — |
| 602 | C2×D5 | — | 8 | 1 | no | — |
| 603 | C2×D5 | — | 8 | 1 | no | — |
| 604 | C2×D5 | — | 8 | 1 | no | — |
| 605 | C2×D5 | — | 8 | 1 | no | — |
| 606 | C2×D5 | — | 8 | 4 | no | — |
| 607 | C2×D5 | #534 | 1 | 1 | yes | characteristic |
| 608 | C2×D5 | #534 | 1 | 1 | yes | characteristic |
| 609 | AGL(1,𝔽5) | — | 4 | 4 | no | — |
| 610 | AGL(1,𝔽5) | — | 8 | 2 | no | — |
| 611 | C4×C5 | — | 2 | 1 | no | — |
| 612 | C4×C5 | — | 2 | 1 | no | — |
| 613 | C4×C5 | — | 2 | 1 | no | — |
| 614 | C4×C5 | — | 4 | 2 | no | — |
| 615 | C4×C5 | — | 4 | 2 | no | — |
| 616 | C4×C5 | #518 | 1 | 1 | yes | characteristic |
| 617 | C4×C5 | #518 | 1 | 1 | yes | characteristic |
| 618 | Dic5 | — | 2 | 1 | no | — |
| 619 | Dic5 | — | 2 | 1 | no | — |
| 620 | Dic5 | — | 2 | 1 | no | — |
| 621 | Dic5 | — | 4 | 2 | no | — |
| 622 | Dic5 | #534 | 1 | 1 | yes | characteristic |
| 623 | Dic5 | #534 | 1 | 1 | yes | characteristic |
| 624 | C24 | — | 5 | 1 | no | — |
| 625 | C24 | — | 5 | 1 | no | — |
| 626 | C24 | — | 5 | 1 | no | — |
| 627 | C24 | — | 10 | 1 | no | — |
| 628 | #41 | — | 4 | 1 | no | — |
| 629 | #41 | — | 4 | 1 | no | — |
| 630 | #41 | — | 10 | 2 | no | — |
| 631 | #41 | — | 10 | 2 | no | — |
| 632 | #41 | — | 10 | 2 | no | — |
| 633 | #41 | — | 10 | 2 | no | — |
| 634 | #41 | — | 20 | 1 | no | — |
| 635 | #41 | — | 20 | 1 | no | — |
| 636 | #41 | — | 20 | 1 | no | — |
| 637 | #41 | — | 20 | 1 | no | — |
| 638 | #41 | — | 20 | 1 | no | — |
| 639 | #41 | — | 20 | 1 | no | — |
| 640 | #41 | — | 20 | 1 | no | — |
| 641 | #41 | — | 20 | 1 | no | — |
| 642 | #41 | — | 20 | 1 | no | — |
| 643 | #41 | — | 20 | 1 | no | — |
| 644 | #41 | — | 20 | 1 | no | — |
| 645 | #41 | — | 20 | 1 | no | — |
| 646 | #41 | — | 20 | 1 | no | — |
| 647 | #41 | — | 20 | 1 | no | — |
| 648 | #41 | — | 20 | 2 | no | — |
| 649 | #41 | — | 20 | 2 | no | — |
| 650 | #41 | — | 20 | 2 | no | — |
| 651 | #41 | — | 20 | 2 | no | — |
| 652 | #41 | — | 20 | 2 | no | — |
| 653 | #41 | — | 20 | 2 | no | — |
| 654 | C2×Q8 | — | 2 | 1 | no | — |
| 655 | C2×Q8 | — | 4 | 1 | no | — |
| 656 | C2×Q8 | — | 4 | 1 | no | — |
| 657 | C2×Q8 | — | 5 | 1 | no | — |
| 658 | C2×Q8 | — | 5 | 1 | no | — |
| 659 | C2×Q8 | — | 5 | 1 | no | — |
| 660 | C2×Q8 | — | 20 | 1 | no | — |
| 661 | C2×Q8 | — | 20 | 1 | no | — |
| 662 | C2×Q8 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 663 | C2×Q8 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 664 | C2×D4 | — | 5 | 1 | no | — |
| 665 | C2×D4 | — | 5 | 1 | no | — |
| 666 | C2×D4 | — | 5 | 1 | no | — |
| 667 | C2×D4 | — | 5 | 1 | no | — |
| 668 | C2×D4 | — | 5 | 1 | no | — |
| 669 | C2×D4 | — | 5 | 1 | no | — |
| 670 | C2×D4 | — | 5 | 1 | no | — |
| 671 | C2×D4 | — | 5 | 1 | no | — |
| 672 | C2×D4 | — | 5 | 1 | no | — |
| 673 | C2×D4 | — | 5 | 2 | no | — |
| 674 | C2×D4 | — | 10 | 2 | no | — |
| 675 | C2×D4 | — | 10 | 2 | no | — |
| 676 | C2×D4 | — | 10 | 2 | no | — |
| 677 | C2×D4 | — | 10 | 2 | no | — |
| 678 | C2×D4 | — | 10 | 2 | no | — |
| 679 | C2×D4 | — | 10 | 2 | no | — |
| 680 | C2×D4 | — | 10 | 1 | no | — |
| 681 | C2×D4 | — | 20 | 1 | no | — |
| 682 | C2×D4 | — | 20 | 1 | no | — |
| 683 | C2×D4 | — | 20 | 2 | no | — |
| 684 | C2×D4 | — | 20 | 2 | no | — |
| 685 | C2×D4 | — | 20 | 1 | no | — |
| 686 | C2×D4 | — | 20 | 1 | no | — |
| 687 | C2×D4 | — | 20 | 1 | no | — |
| 688 | C2×D4 | — | 20 | 1 | no | — |
| 689 | C2×D4 | — | 20 | 1 | no | — |
| 690 | C2×D4 | — | 20 | 1 | no | — |
| 691 | C2×D4 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 692 | C2×D4 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 693 | C2×D4 | C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 694 | C22×C4 | — | 2 | 1 | no | — |
| 695 | C22×C4 | — | 5 | 1 | no | — |
| 696 | C22×C4 | — | 5 | 1 | no | — |
| 697 | C22×C4 | — | 5 | 1 | no | — |
| 698 | C22×C4 | — | 5 | 1 | no | — |
| 699 | C22×C4 | — | 5 | 1 | no | — |
| 700 | C22×C4 | — | 5 | 1 | no | — |
| 701 | C22×C4 | — | 5 | 1 | no | — |
| 702 | C22×C4 | — | 5 | 1 | no | — |
| 703 | C22×C4 | — | 5 | 1 | no | — |
| 704 | C22×C4 | — | 5 | 1 | no | — |
| 705 | C22×C4 | — | 5 | 1 | no | — |
| 706 | C22×C4 | — | 5 | 1 | no | — |
| 707 | C22×C4 | — | 5 | 1 | no | — |
| 708 | C22×C4 | — | 10 | 1 | no | — |
| 709 | C22×C4 | — | 10 | 1 | no | — |
| 710 | C22×C4 | — | 10 | 1 | no | — |
| 711 | C22×C4 | — | 10 | 1 | no | — |
| 712 | C22×C4 | — | 10 | 1 | no | — |
| 713 | C22×C4 | — | 10 | 1 | no | — |
| 714 | C22×C4 | — | 10 | 1 | no | — |
| 715 | C22×C4 | — | 10 | 1 | no | — |
| 716 | C22×C4 | — | 10 | 1 | no | — |
| 717 | C22×C4 | — | 10 | 1 | no | — |
| 718 | C22×C4 | — | 10 | 1 | no | — |
| 719 | C22×C4 | — | 10 | 1 | no | — |
| 720 | C22×C4 | — | 10 | 2 | no | — |
| 721 | C22×C4 | — | 10 | 2 | no | — |
| 722 | C22×C4 | — | 10 | 2 | no | — |
| 723 | C22×C4 | — | 10 | 2 | no | — |
| 724 | C22×C4 | — | 10 | 2 | no | — |
| 725 | C22×C4 | — | 20 | 2 | no | — |
| 726 | C22×C4 | — | 20 | 2 | no | — |
| 727 | C22×C4 | — | 20 | 4 | no | — |
| 728 | C22×C4 | — | 20 | 2 | no | — |
| 729 | C22×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 730 | C22×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 731 | C22×C4 | C22×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 732 | M16 | — | 10 | 2 | no | — |
| 733 | M16 | — | 10 | 2 | no | — |
| 734 | M16 | — | 10 | 2 | no | — |
| 735 | M16 | — | 10 | 2 | no | — |
| 736 | M16 | — | 20 | 2 | no | — |
| 737 | M16 | — | 20 | 2 | no | — |
| 738 | C2×C8 | — | 10 | 2 | no | — |
| 739 | C2×C8 | — | 10 | 2 | no | — |
| 740 | C2×C8 | — | 20 | 2 | no | — |
| 741 | C2×C8 | — | 20 | 2 | no | — |
| 742 | C4⋊C4 | — | 2 | 2 | no | — |
| 743 | C4⋊C4 | — | 2 | 2 | no | — |
| 744 | C4⋊C4 | — | 5 | 2 | no | — |
| 745 | C4⋊C4 | — | 10 | 2 | no | — |
| 746 | C4⋊C4 | — | 10 | 2 | no | — |
| 747 | C4⋊C4 | — | 10 | 2 | no | — |
| 748 | C4⋊C4 | — | 20 | 2 | no | — |
| 749 | C4⋊C4 | C22×AGL(1,𝔽5) | 1 | 2 | yes | — |
| 750 | C22⋊C4 | — | 2 | 1 | no | — |
| 751 | C22⋊C4 | — | 2 | 2 | no | — |
| 752 | C22⋊C4 | — | 2 | 2 | no | — |
| 753 | C22⋊C4 | — | 10 | 2 | no | — |
| 754 | C22⋊C4 | — | 10 | 2 | no | — |
| 755 | C22⋊C4 | — | 10 | 2 | no | — |
| 756 | C22⋊C4 | — | 10 | 2 | no | — |
| 757 | C22⋊C4 | — | 10 | 2 | no | — |
| 758 | C22⋊C4 | — | 10 | 1 | no | — |
| 759 | C22⋊C4 | — | 10 | 2 | no | — |
| 760 | C22⋊C4 | — | 10 | 2 | no | — |
| 761 | C22⋊C4 | — | 20 | 4 | no | — |
| 762 | C22⋊C4 | — | 20 | 4 | no | — |
| 763 | C22⋊C4 | — | 20 | 2 | no | — |
| 764 | C42 | — | 2 | 1 | no | — |
| 765 | C42 | — | 10 | 2 | no | — |
| 766 | C42 | — | 10 | 2 | no | — |
| 767 | C42 | — | 10 | 2 | no | — |
| 768 | C42 | — | 10 | 2 | no | — |
| 769 | C42 | — | 10 | 2 | no | — |
| 770 | C42 | — | 10 | 1 | no | — |
| 771 | C42 | — | 20 | 2 | no | — |
| 772 | C2×C5 | — | 4 | 1 | no | — |
| 773 | C2×C5 | — | 4 | 1 | no | — |
| 774 | C2×C5 | — | 4 | 1 | no | — |
| 775 | C2×C5 | #2308 | 1 | 1 | yes | characteristic |
| 776 | C2×C5 | #2901 | 1 | 2 | yes | — |
| 777 | D5 | — | 2 | 1 | no | — |
| 778 | D5 | — | 2 | 1 | no | — |
| 779 | D5 | — | 4 | 1 | no | — |
| 780 | D5 | — | 4 | 1 | no | — |
| 781 | D5 | — | 4 | 1 | no | — |
| 782 | D5 | — | 8 | 2 | no | — |
| 783 | C23 | — | 5 | 1 | no | — |
| 784 | C23 | — | 5 | 1 | no | — |
| 785 | C23 | — | 5 | 1 | no | — |
| 786 | C23 | — | 5 | 1 | no | — |
| 787 | C23 | — | 10 | 1 | no | — |
| 788 | C23 | — | 10 | 1 | no | — |
| 789 | C23 | — | 10 | 1 | no | — |
| 790 | C23 | — | 10 | 1 | no | — |
| 791 | C23 | — | 10 | 1 | no | — |
| 792 | C23 | — | 10 | 1 | no | — |
| 793 | C23 | — | 10 | 2 | no | — |
| 794 | C23 | — | 20 | 2 | no | — |
| 795 | C23 | — | 20 | 2 | no | — |
| 796 | C23 | — | 20 | 2 | no | — |
| 797 | C23 | — | 20 | 2 | no | — |
| 798 | C23 | — | 40 | 2 | no | — |
| 799 | C23 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 800 | C23 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 801 | C23 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 802 | Q8 | — | 2 | 2 | no | — |
| 803 | Q8 | — | 2 | 2 | no | — |
| 804 | Q8 | — | 4 | 1 | no | — |
| 805 | Q8 | — | 4 | 2 | no | — |
| 806 | Q8 | — | 20 | 1 | no | — |
| 807 | Q8 | — | 20 | 1 | no | — |
| 808 | Q8 | — | 20 | 1 | no | — |
| 809 | D4 | — | 4 | 1 | no | — |
| 810 | D4 | — | 4 | 1 | no | — |
| 811 | D4 | — | 4 | 1 | no | — |
| 812 | D4 | — | 10 | 2 | no | — |
| 813 | D4 | — | 10 | 2 | no | — |
| 814 | D4 | — | 20 | 1 | no | — |
| 815 | D4 | — | 20 | 1 | no | — |
| 816 | D4 | — | 20 | 1 | no | — |
| 817 | D4 | — | 20 | 2 | no | — |
| 818 | D4 | — | 20 | 2 | no | — |
| 819 | D4 | — | 20 | 2 | no | — |
| 820 | D4 | — | 20 | 4 | no | — |
| 821 | D4 | — | 20 | 1 | no | — |
| 822 | D4 | — | 20 | 1 | no | — |
| 823 | D4 | — | 20 | 1 | no | — |
| 824 | D4 | — | 20 | 1 | no | — |
| 825 | D4 | — | 20 | 1 | no | — |
| 826 | D4 | — | 20 | 1 | no | — |
| 827 | D4 | — | 40 | 2 | no | — |
| 828 | D4 | — | 40 | 2 | no | — |
| 829 | D4 | — | 40 | 2 | no | — |
| 830 | D4 | — | 40 | 2 | no | — |
| 831 | C2×C4 | — | 2 | 1 | no | — |
| 832 | C2×C4 | — | 2 | 1 | no | — |
| 833 | C2×C4 | — | 2 | 1 | no | — |
| 834 | C2×C4 | — | 2 | 1 | no | — |
| 835 | C2×C4 | — | 2 | 1 | no | — |
| 836 | C2×C4 | — | 2 | 1 | no | — |
| 837 | C2×C4 | — | 2 | 2 | no | — |
| 838 | C2×C4 | — | 2 | 2 | no | — |
| 839 | C2×C4 | — | 4 | 2 | no | — |
| 840 | C2×C4 | — | 5 | 1 | no | — |
| 841 | C2×C4 | — | 5 | 1 | no | — |
| 842 | C2×C4 | — | 5 | 1 | no | — |
| 843 | C2×C4 | — | 5 | 1 | no | — |
| 844 | C2×C4 | — | 5 | 1 | no | — |
| 845 | C2×C4 | — | 5 | 1 | no | — |
| 846 | C2×C4 | — | 5 | 1 | no | — |
| 847 | C2×C4 | — | 5 | 1 | no | — |
| 848 | C2×C4 | — | 10 | 1 | no | — |
| 849 | C2×C4 | — | 10 | 1 | no | — |
| 850 | C2×C4 | — | 10 | 1 | no | — |
| 851 | C2×C4 | — | 10 | 1 | no | — |
| 852 | C2×C4 | — | 10 | 1 | no | — |
| 853 | C2×C4 | — | 10 | 1 | no | — |
| 854 | C2×C4 | — | 10 | 1 | no | — |
| 855 | C2×C4 | — | 10 | 1 | no | — |
| 856 | C2×C4 | — | 10 | 1 | no | — |
| 857 | C2×C4 | — | 10 | 1 | no | — |
| 858 | C2×C4 | — | 10 | 1 | no | — |
| 859 | C2×C4 | — | 10 | 1 | no | — |
| 860 | C2×C4 | — | 10 | 1 | no | — |
| 861 | C2×C4 | — | 10 | 1 | no | — |
| 862 | C2×C4 | — | 10 | 1 | no | — |
| 863 | C2×C4 | — | 10 | 1 | no | — |
| 864 | C2×C4 | — | 10 | 1 | no | — |
| 865 | C2×C4 | — | 10 | 1 | no | — |
| 866 | C2×C4 | — | 10 | 1 | no | — |
| 867 | C2×C4 | — | 10 | 1 | no | — |
| 868 | C2×C4 | — | 10 | 1 | no | — |
| 869 | C2×C4 | — | 10 | 1 | no | — |
| 870 | C2×C4 | — | 10 | 1 | no | — |
| 871 | C2×C4 | — | 10 | 1 | no | — |
| 872 | C2×C4 | — | 10 | 4 | no | — |
| 873 | C2×C4 | — | 10 | 2 | no | — |
| 874 | C2×C4 | — | 20 | 2 | no | — |
| 875 | C2×C4 | — | 20 | 2 | no | — |
| 876 | C2×C4 | — | 20 | 4 | no | — |
| 877 | C2×C4 | — | 20 | 2 | no | — |
| 878 | C2×C4 | — | 20 | 2 | no | — |
| 879 | C2×C4 | — | 20 | 8 | no | — |
| 880 | C2×C4 | — | 20 | 2 | no | — |
| 881 | C2×C4 | — | 20 | 2 | no | — |
| 882 | C2×C4 | — | 20 | 2 | no | — |
| 883 | C2×C4 | — | 40 | 2 | no | — |
| 884 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 885 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 886 | C2×C4 | C2×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 887 | C2×C4 | C23×AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 888 | C8 | — | 20 | 2 | no | — |
| 889 | C8 | — | 20 | 2 | no | — |
| 890 | C5 | #21775 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 891 | C22 | — | 2 | 1 | no | — |
| 892 | C22 | — | 2 | 1 | no | — |
| 893 | C22 | — | 2 | 1 | no | — |
| 894 | C22 | — | 2 | 2 | no | — |
| 895 | C22 | — | 2 | 2 | no | — |
| 896 | C22 | — | 2 | 2 | no | — |
| 897 | C22 | — | 5 | 1 | no | — |
| 898 | C22 | — | 5 | 1 | no | — |
| 899 | C22 | — | 10 | 2 | no | — |
| 900 | C22 | — | 10 | 1 | no | — |
| 901 | C22 | — | 10 | 1 | no | — |
| 902 | C22 | — | 10 | 1 | no | — |
| 903 | C22 | — | 10 | 2 | no | — |
| 904 | C22 | — | 10 | 2 | no | — |
| 905 | C22 | — | 10 | 2 | no | — |
| 906 | C22 | — | 20 | 2 | no | — |
| 907 | C22 | — | 20 | 2 | no | — |
| 908 | C22 | — | 20 | 2 | no | — |
| 909 | C22 | — | 20 | 2 | no | — |
| 910 | C22 | — | 20 | 2 | no | — |
| 911 | C22 | — | 40 | 1 | no | — |
| 912 | C22 | — | 40 | 1 | no | — |
| 913 | C22 | — | 40 | 1 | no | — |
| 914 | C22 | — | 40 | 1 | no | — |
| 915 | C22 | — | 40 | 4 | no | — |
| 916 | C22 | C22×C22⋊AGL(1,𝔽5) | 1 | 1 | yes | characteristic |
| 917 | C4 | — | 2 | 1 | no | — |
| 918 | C4 | — | 2 | 1 | no | — |
| 919 | C4 | — | 2 | 1 | no | — |
| 920 | C4 | — | 4 | 2 | no | — |
| 921 | C4 | — | 4 | 2 | no | — |
| 922 | C4 | — | 5 | 1 | no | — |
| 923 | C4 | — | 5 | 1 | no | — |
| 924 | C4 | — | 10 | 1 | no | — |
| 925 | C4 | — | 10 | 1 | no | — |
| 926 | C4 | — | 10 | 1 | no | — |
| 927 | C4 | — | 20 | 4 | no | — |
| 928 | C4 | — | 20 | 2 | no | — |
| 929 | C4 | — | 40 | 2 | no | — |
| 930 | C4 | #66258 | 1 | 1 | yes | characteristic |
| 931 | C4 | #66258 | 1 | 1 | yes | characteristic |
| 932 | C2 | — | 4 | 1 | no | — |
| 933 | C2 | — | 4 | 1 | no | — |
| 934 | C2 | — | 4 | 1 | no | — |
| 935 | C2 | — | 10 | 1 | no | — |
| 936 | C2 | — | 10 | 1 | no | — |
| 937 | C2 | — | 20 | 1 | no | — |
| 938 | C2 | — | 20 | 1 | no | — |
| 939 | C2 | — | 20 | 1 | no | — |
| 940 | C2 | — | 40 | 2 | no | — |
| 941 | C2 | #10617506 | 1 | 1 | yes | characteristic |
| 942 | C2 | #10617562 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10617555 | C2 | semidirect |
| 3. #10617541 | C2 | semidirect |
| 4. #10604975 | C2 | semidirect |
| 5. #10604528 | C2 | semidirect |
| 6. #10604527 | C2 | semidirect |
| 7. #10604522 | C2 | semidirect |
| 8. #10604521 | C2 | semidirect |
| 9. #10604380 | C2 | semidirect |
| 12. C2×#4130 | C22 | semidirect |
| 13. C22×C4×AGL(1,𝔽5) | C22 | semidirect |
| 14. C2×D5⋊M16 | C22 | semidirect |
| 15. C22×#700 | C22 | semidirect |
| 16. C5×#536 | C4 | semidirect |
| 17. #66164 | C4 | semidirect |
| 18. #66150 | C4 | semidirect |
| 27. #65963 | C4 | semidirect |
| 28. #65963 | C4 | semidirect |
| 31. #65859 | C4 | semidirect |
| 46. C4×C22⋊AGL(1,𝔽5) | C22 | semidirect |
| 48. #65756 | C22 | semidirect |
| 49. #64875 | C22 | semidirect |
| 50. #64875 | C22 | semidirect |
| 51. #64875 | C22 | semidirect |
| 52. #64875 | C22 | semidirect |
| 56. C22×C5×Q8 | C2×C4 | semidirect |
| 67. C2×#713 | C2×C4 | semidirect |
| 81. C22×D20 | C2×C4 | semidirect |
| 112. C5×C22⋊Q8 | C2×C4 | semidirect |
| 113. C5×#117 | C2×C4 | semidirect |
| 117. #4092 | C2×C4 | semidirect |
| 123. #4076 | C2×C4 | semidirect |
| 126. #4072 | C2×C4 | semidirect |
| 132. #4041 | C2×C4 | semidirect |
| 138. D5×C4⋊C4 | C2×C4 | semidirect |
| 330. #536 | AGL(1,𝔽5) | semidirect |
| 493. C22×Q8 | C2×AGL(1,𝔽5) | semidirect |
| 533. C22⋊Q8 | C2×AGL(1,𝔽5) | semidirect |
| 560. #117 | C2×AGL(1,𝔽5) | semidirect |
| 890. C5 | #21775 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10618239 | 2 |
| #10617555 | 2 |
| #10617541 | 2 |
| #10604975 | 2 |
| #10604528 | 2 |
| #10604527 | 2 |
| #10604522 | 2 |
| #10604521 | 2 |
| #10604380 | 2 |
| #21775 | 5 |