Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1212 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 1212 conjugacy classes of subgroups — too many to draw. Only its 137 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 | #10618988 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10612017 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10612015 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#2202 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10602744 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10601781 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10601780 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10599959 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10599958 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #10599954 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10599953 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #66287 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | C5×H(3,𝔽4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #66107 | — | 2 | 1 | no | — |
| 15 | D5×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 16 | #66017 | — | 2 | 1 | no | — |
| 17 | #66017 | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | #66008 | — | 2 | 2 | no | — |
| 19 | #66008 | C22 | 1 | 2 | yes | — |
| 20 | #66004 | — | 2 | 2 | no | — |
| 21 | #66004 | C22 | 1 | 2 | yes | complemented |
| 22 | #66002 | — | 2 | 1 | no | — |
| 23 | #66002 | C22 | 1 | 1 | yes | characteristic |
| 24 | #65926 | — | 2 | 2 | no | — |
| 25 | #65926 | — | 2 | 1 | no | — |
| 26 | #65924 | — | 2 | 1 | no | — |
| 27 | #65924 | — | 2 | 2 | no | — |
| 28 | C5×#454 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C5×#454 | C22 | 1 | 2 | yes | complemented |
| 30 | #65535 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #65534 | C22 | 1 | 2 | yes | complemented |
| 32 | #65487 | — | 2 | 1 | no | — |
| 33 | #65487 | — | 2 | 2 | no | — |
| 34 | #65351 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #65351 | C22 | 1 | 2 | yes | complemented |
| 36 | #65114 | — | 2 | 1 | no | — |
| 37 | #65111 | — | 2 | 2 | no | — |
| 38 | #65110 | — | 2 | 2 | no | — |
| 39 | D5×#104 | — | 2 | 1 | no | — |
| 40 | #65042 | C22 | 1 | 2 | yes | complemented |
| 41 | #65041 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #65040 | C22 | 1 | 2 | yes | complemented |
| 43 | #65040 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C5×#355 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C5×#355 | C22 | 1 | 2 | yes | complemented |
| 46 | #64762 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #64762 | C22 | 1 | 2 | yes | complemented |
| 48 | #64698 | C22 | 1 | 2 | yes | complemented |
| 49 | #64697 | C22 | 1 | 2 | yes | complemented |
| 50 | #64697 | C22 | 1 | 2 | yes | complemented |
| 51 | #33570 | — | 5 | 1 | no | maximal, Sylow |
| 52 | C5×2−1+4 | C23 | 1 | 1 | yes | characteristic |
| 53 | C22×C22⋊D5 | — | 2 | 2 | no | — |
| 54 | C22×C22⋊D5 | — | 2 | 1 | no | — |
| 55 | #4149 | — | 2 | 2 | no | — |
| 56 | #4149 | — | 2 | 1 | no | — |
| 57 | #4149 | — | 4 | 1 | no | — |
| 58 | D5×#41 | — | 2 | 2 | no | — |
| 59 | D5×#41 | — | 2 | 1 | no | — |
| 60 | D5×#41 | — | 4 | 1 | no | — |
| 61 | #4147 | — | 4 | 1 | no | — |
| 62 | #4147 | C23 | 1 | 1 | yes | characteristic |
| 63 | C2×#713 | — | 2 | 1 | no | — |
| 64 | C2×#713 | — | 4 | 1 | no | — |
| 65 | C2×#713 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×#711 | — | 2 | 1 | no | — |
| 67 | C2×#711 | D4 | 1 | 1 | yes | characteristic |
| 68 | C2×D4×D5 | — | 2 | 2 | no | — |
| 69 | C2×D4×D5 | D4 | 1 | 2 | yes | — |
| 70 | C5×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 71 | C5×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 72 | C5×#124 | — | 2 | 1 | no | — |
| 73 | C5×#124 | — | 2 | 2 | no | — |
| 74 | C5×#124 | C23 | 1 | 1 | yes | characteristic |
| 75 | C5×#124 | C23 | 1 | 2 | yes | — |
| 76 | C5×#120 | — | 2 | 1 | no | — |
| 77 | C5×#120 | — | 2 | 2 | no | — |
| 78 | #4099 | — | 2 | 1 | no | — |
| 79 | #4097 | — | 2 | 1 | no | — |
| 80 | #4095 | — | 2 | 2 | no | — |
| 81 | #4093 | — | 2 | 2 | no | — |
| 82 | #4093 | C23 | 1 | 2 | yes | — |
| 83 | #4090 | — | 2 | 1 | no | — |
| 84 | #4090 | C23 | 1 | 1 | yes | characteristic |
| 85 | #4086 | — | 2 | 1 | no | — |
| 86 | #4086 | — | 2 | 2 | no | — |
| 87 | #4086 | D4 | 1 | 1 | yes | characteristic |
| 88 | #4086 | D4 | 1 | 2 | yes | — |
| 89 | #4085 | — | 2 | 2 | no | — |
| 90 | #4085 | — | 2 | 2 | no | — |
| 91 | #4085 | — | 2 | 2 | no | — |
| 92 | #4083 | — | 2 | 2 | no | — |
| 93 | #4083 | — | 2 | 1 | no | — |
| 94 | #4078 | — | 2 | 2 | no | — |
| 95 | #4078 | — | 2 | 1 | no | — |
| 96 | #4062 | — | 4 | 1 | no | — |
| 97 | #4061 | — | 4 | 1 | no | — |
| 98 | #4060 | — | 4 | 2 | no | — |
| 99 | D5×SD16 | — | 4 | 2 | no | — |
| 100 | #4058 | — | 4 | 1 | no | — |
| 101 | #4057 | — | 4 | 1 | no | — |
| 102 | #4057 | — | 4 | 2 | no | — |
| 103 | D5×D8 | — | 4 | 2 | no | — |
| 104 | #4055 | — | 2 | 1 | no | — |
| 105 | #4054 | — | 2 | 2 | no | — |
| 106 | D5×M16 | — | 2 | 2 | no | — |
| 107 | D5×M16 | — | 2 | 1 | no | — |
| 108 | #4031 | — | 2 | 2 | no | — |
| 109 | #4031 | — | 2 | 2 | no | — |
| 110 | #4031 | — | 2 | 2 | no | — |
| 111 | #4030 | — | 2 | 2 | no | — |
| 112 | #4030 | — | 2 | 2 | no | — |
| 113 | #4030 | — | 2 | 2 | no | — |
| 114 | #4030 | — | 2 | 2 | no | — |
| 115 | #4030 | — | 2 | 2 | no | — |
| 116 | #4030 | — | 2 | 2 | no | — |
| 117 | #4028 | — | 2 | 2 | no | — |
| 118 | #4028 | — | 2 | 1 | no | — |
| 119 | #4028 | — | 2 | 2 | no | — |
| 120 | #4028 | — | 2 | 2 | no | — |
| 121 | #4028 | — | 2 | 2 | no | — |
| 122 | #4027 | — | 2 | 2 | no | — |
| 123 | #4027 | — | 2 | 2 | no | — |
| 124 | #4027 | — | 2 | 2 | no | — |
| 125 | #4023 | — | 2 | 1 | no | — |
| 126 | #4023 | — | 2 | 2 | no | — |
| 127 | #4021 | — | 2 | 1 | no | — |
| 128 | #4021 | D4 | 1 | 1 | yes | characteristic |
| 129 | #4020 | D4 | 1 | 2 | yes | — |
| 130 | #4018 | — | 2 | 2 | no | — |
| 131 | #4018 | D4 | 1 | 2 | yes | — |
| 132 | C42×D5 | D4 | 1 | 1 | yes | characteristic |
| 133 | C5×#104 | — | 2 | 1 | no | — |
| 134 | C5×#104 | — | 2 | 2 | no | — |
| 135 | C5×#101 | C23 | 1 | 1 | yes | characteristic |
| 136 | C5×#101 | C23 | 1 | 2 | yes | — |
| 137 | #3969 | — | 2 | 1 | no | — |
| 138 | #3969 | — | 2 | 2 | no | — |
| 139 | #3968 | C23 | 1 | 1 | yes | characteristic |
| 140 | #3968 | C23 | 1 | 2 | yes | — |
| 141 | #3957 | — | 2 | 1 | no | — |
| 142 | #3957 | — | 2 | 2 | no | — |
| 143 | #3955 | — | 2 | 2 | no | — |
| 144 | #3955 | — | 2 | 1 | no | — |
| 145 | #3937 | — | 2 | 1 | no | — |
| 146 | #3937 | — | 2 | 2 | no | — |
| 147 | #3549 | — | 5 | 1 | no | — |
| 148 | #3021 | — | 5 | 2 | no | — |
| 149 | #3018 | — | 5 | 1 | no | — |
| 150 | #2204 | — | 5 | 2 | no | — |
| 151 | #2204 | — | 5 | 2 | no | — |
| 152 | #2202 | — | 5 | 1 | no | — |
| 153 | #2202 | — | 5 | 1 | no | — |
| 154 | #2202 | — | 5 | 1 | no | — |
| 155 | #2202 | D5 | 1 | 1 | yes | characteristic, complemented |
| 156 | #2134 | — | 5 | 2 | no | — |
| 157 | #2132 | — | 5 | 1 | no | — |
| 158 | C24×C5 | — | 2 | 1 | no | — |
| 159 | C23×D5 | — | 2 | 1 | no | — |
| 160 | C23×D5 | — | 2 | 2 | no | — |
| 161 | C5×#41 | — | 2 | 1 | no | — |
| 162 | C5×#41 | — | 2 | 2 | no | — |
| 163 | C5×#41 | — | 4 | 1 | no | — |
| 164 | C2×C5×Q8 | — | 2 | 1 | no | — |
| 165 | C2×C5×Q8 | — | 4 | 1 | no | — |
| 166 | C2×C5×Q8 | C24 | 1 | 1 | yes | characteristic |
| 167 | C2×C5×D4 | — | 2 | 2 | no | — |
| 168 | C2×C5×D4 | — | 2 | 1 | no | — |
| 169 | C2×C5×D4 | C2×D4 | 1 | 2 | yes | — |
| 170 | C2×C5×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 171 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 172 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 173 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 174 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 175 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 176 | C2×C22⋊D5 | — | 2 | 1 | no | — |
| 177 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 178 | C2×C22⋊D5 | — | 2 | 2 | no | — |
| 179 | C2×C22⋊D5 | — | 8 | 4 | no | — |
| 180 | C2×C22⋊D5 | — | 8 | 1 | no | — |
| 181 | C2×C22⋊D5 | — | 8 | 1 | no | — |
| 182 | C22×Dic5 | — | 2 | 2 | no | — |
| 183 | C22×Dic5 | — | 2 | 1 | no | — |
| 184 | #713 | — | 2 | 2 | no | — |
| 185 | #713 | — | 2 | 1 | no | — |
| 186 | #713 | — | 4 | 1 | no | — |
| 187 | #713 | — | 4 | 1 | no | — |
| 188 | #713 | — | 4 | 1 | no | — |
| 189 | #713 | — | 4 | 2 | no | — |
| 190 | #713 | — | 4 | 1 | no | — |
| 191 | #713 | — | 8 | 2 | no | — |
| 192 | Q8×D5 | — | 2 | 2 | no | — |
| 193 | Q8×D5 | — | 2 | 1 | no | — |
| 194 | Q8×D5 | — | 4 | 1 | no | — |
| 195 | #711 | — | 2 | 2 | no | — |
| 196 | #711 | — | 2 | 1 | no | — |
| 197 | #711 | — | 4 | 1 | no | — |
| 198 | #711 | — | 4 | 1 | no | — |
| 199 | #711 | — | 4 | 1 | no | — |
| 200 | #711 | — | 8 | 2 | no | — |
| 201 | D4×D5 | — | 2 | 2 | no | — |
| 202 | D4×D5 | — | 2 | 1 | no | — |
| 203 | D4×D5 | — | 4 | 2 | no | — |
| 204 | D4×D5 | — | 4 | 2 | no | — |
| 205 | D4×D5 | — | 4 | 2 | no | — |
| 206 | D4×D5 | — | 4 | 1 | no | — |
| 207 | D4×D5 | — | 4 | 2 | no | — |
| 208 | D4×D5 | — | 4 | 1 | no | — |
| 209 | D4×D5 | — | 8 | 4 | no | — |
| 210 | #709 | — | 2 | 2 | no | — |
| 211 | #709 | — | 2 | 1 | no | — |
| 212 | #709 | — | 4 | 2 | no | — |
| 213 | #709 | — | 4 | 1 | no | — |
| 214 | #709 | — | 4 | 2 | no | — |
| 215 | #709 | — | 4 | 1 | no | — |
| 216 | C2×D20 | — | 2 | 1 | no | — |
| 217 | C2×D20 | — | 2 | 2 | no | — |
| 218 | C2×D20 | — | 2 | 2 | no | — |
| 219 | C2×D20 | — | 4 | 1 | no | — |
| 220 | C2×D20 | — | 4 | 2 | no | — |
| 221 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 222 | C2×D20 | C2×D4 | 1 | 2 | yes | — |
| 223 | C2×D20 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | C2×C4×D5 | — | 2 | 2 | no | — |
| 225 | C2×C4×D5 | — | 2 | 1 | no | — |
| 226 | C2×C4×D5 | — | 4 | 1 | no | — |
| 227 | C2×C4×D5 | — | 4 | 2 | no | — |
| 228 | C2×C4×D5 | C2×D4 | 1 | 2 | yes | — |
| 229 | C2×C4×D5 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C2×Dic10 | — | 2 | 1 | no | — |
| 231 | C2×Dic10 | C2×D4 | 1 | 1 | yes | characteristic |
| 232 | C5×SD16 | — | 4 | 2 | no | — |
| 233 | C5×SD16 | — | 4 | 1 | no | — |
| 234 | C5×D8 | — | 4 | 2 | no | — |
| 235 | C5×D8 | — | 4 | 1 | no | — |
| 236 | C5×M16 | — | 2 | 2 | no | — |
| 237 | C5×M16 | — | 2 | 1 | no | — |
| 238 | C5×C22⋊C4 | — | 2 | 1 | no | — |
| 239 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 240 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 241 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 242 | C5×C22⋊C4 | — | 2 | 2 | no | — |
| 243 | C42×C5 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C42×C5 | C2×D4 | 1 | 2 | yes | — |
| 245 | C22⋊Dic5 | — | 2 | 2 | no | — |
| 246 | C22⋊Dic5 | — | 2 | 1 | no | — |
| 247 | #689 | — | 4 | 1 | no | — |
| 248 | #688 | — | 4 | 2 | no | — |
| 249 | #687 | — | 4 | 2 | no | — |
| 250 | #687 | — | 4 | 1 | no | — |
| 251 | #687 | — | 4 | 1 | no | — |
| 252 | #686 | — | 4 | 2 | no | — |
| 253 | #686 | — | 4 | 1 | no | — |
| 254 | #686 | — | 4 | 2 | no | — |
| 255 | #685 | — | 2 | 2 | no | — |
| 256 | #685 | — | 2 | 2 | no | — |
| 257 | #685 | — | 2 | 2 | no | — |
| 258 | #685 | — | 2 | 2 | no | — |
| 259 | #685 | — | 2 | 2 | no | — |
| 260 | #685 | — | 2 | 2 | no | — |
| 261 | #683 | — | 2 | 2 | no | — |
| 262 | #683 | — | 2 | 2 | no | — |
| 263 | #683 | — | 2 | 2 | no | — |
| 264 | C4×Dic5 | — | 2 | 2 | no | — |
| 265 | C4×Dic5 | — | 2 | 1 | no | — |
| 266 | C4×Dic5 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C4×Dic5 | C2×D4 | 1 | 2 | yes | — |
| 268 | #681 | — | 2 | 1 | no | — |
| 269 | #681 | — | 2 | 2 | no | — |
| 270 | Dic20 | — | 4 | 1 | no | — |
| 271 | D40 | — | 4 | 2 | no | — |
| 272 | #677 | — | 4 | 2 | no | — |
| 273 | #677 | — | 4 | 1 | no | — |
| 274 | #676 | — | 4 | 2 | no | — |
| 275 | #676 | — | 4 | 1 | no | — |
| 276 | C8×D5 | — | 4 | 2 | no | — |
| 277 | C8×D5 | — | 4 | 1 | no | — |
| 278 | #585 | — | 5 | 1 | no | — |
| 279 | #575 | — | 10 | 1 | no | — |
| 280 | C2×AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 281 | H(3,𝔽4) | — | 5 | 1 | no | — |
| 282 | H(3,𝔽4) | — | 10 | 1 | no | — |
| 283 | H(3,𝔽4) | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 284 | #555 | — | 5 | 2 | no | — |
| 285 | #555 | — | 10 | 2 | no | — |
| 286 | D42 | — | 10 | 1 | no | — |
| 287 | D42 | — | 10 | 2 | no | — |
| 288 | #535 | — | 5 | 2 | no | — |
| 289 | #535 | — | 10 | 2 | no | — |
| 290 | #535 | — | 10 | 1 | no | — |
| 291 | #535 | — | 10 | 2 | no | — |
| 292 | #532 | — | 5 | 1 | no | — |
| 293 | #532 | — | 10 | 1 | no | — |
| 294 | #456 | — | 5 | 1 | no | — |
| 295 | #456 | — | 5 | 1 | no | — |
| 296 | #455 | — | 10 | 1 | no | — |
| 297 | #454 | — | 5 | 2 | no | — |
| 298 | #454 | — | 5 | 1 | no | — |
| 299 | #454 | — | 5 | 2 | no | — |
| 300 | #454 | — | 5 | 2 | no | — |
| 301 | #454 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 302 | #454 | C2×D5 | 1 | 2 | yes | complemented |
| 303 | #453 | — | 10 | 2 | no | — |
| 304 | #453 | — | 10 | 1 | no | — |
| 305 | #453 | — | 10 | 2 | no | — |
| 306 | #421 | — | 10 | 2 | no | — |
| 307 | C2×#104 | — | 10 | 1 | no | — |
| 308 | #413 | — | 5 | 2 | no | — |
| 309 | #413 | — | 5 | 1 | no | — |
| 310 | #356 | — | 5 | 2 | no | — |
| 311 | #355 | — | 5 | 1 | no | — |
| 312 | #355 | — | 5 | 2 | no | — |
| 313 | #355 | — | 5 | 2 | no | — |
| 314 | #355 | — | 5 | 2 | no | — |
| 315 | #355 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 316 | #355 | C2×D5 | 1 | 2 | yes | complemented |
| 317 | C23×C5 | — | 2 | 2 | no | — |
| 318 | C23×C5 | — | 2 | 1 | no | — |
| 319 | C23×C5 | — | 8 | 2 | no | — |
| 320 | C23×C5 | — | 8 | 1 | no | — |
| 321 | C22×D5 | — | 2 | 2 | no | — |
| 322 | C22×D5 | — | 4 | 1 | no | — |
| 323 | C22×D5 | — | 4 | 2 | no | — |
| 324 | C22×D5 | — | 8 | 2 | no | — |
| 325 | C22×D5 | — | 8 | 2 | no | — |
| 326 | C22×D5 | — | 8 | 2 | no | — |
| 327 | C22×D5 | — | 8 | 2 | no | — |
| 328 | C22×D5 | — | 8 | 1 | no | — |
| 329 | C22×D5 | #120 | 1 | 2 | yes | — |
| 330 | C22×D5 | #120 | 1 | 1 | yes | characteristic |
| 331 | C5×Q8 | — | 2 | 2 | no | — |
| 332 | C5×Q8 | — | 2 | 1 | no | — |
| 333 | C5×Q8 | — | 4 | 1 | no | — |
| 334 | C5×Q8 | — | 8 | 1 | no | — |
| 335 | C5×D4 | — | 2 | 2 | no | — |
| 336 | C5×D4 | — | 2 | 1 | no | — |
| 337 | C5×D4 | — | 4 | 2 | no | — |
| 338 | C5×D4 | — | 4 | 1 | no | — |
| 339 | C5×D4 | — | 4 | 1 | no | — |
| 340 | C5×D4 | — | 8 | 2 | no | — |
| 341 | C5×D4 | — | 8 | 1 | no | — |
| 342 | C2×C4×C5 | — | 2 | 2 | no | — |
| 343 | C2×C4×C5 | — | 2 | 1 | no | — |
| 344 | C2×C4×C5 | — | 4 | 1 | no | — |
| 345 | C2×C4×C5 | — | 4 | 2 | no | — |
| 346 | C2×C4×C5 | C22×D4 | 1 | 2 | yes | — |
| 347 | C2×C4×C5 | C22×D4 | 1 | 1 | yes | characteristic |
| 348 | C22⋊D5 | — | 4 | 4 | no | — |
| 349 | C22⋊D5 | — | 4 | 4 | no | — |
| 350 | C22⋊D5 | — | 4 | 1 | no | — |
| 351 | C22⋊D5 | — | 4 | 2 | no | — |
| 352 | C22⋊D5 | — | 4 | 1 | no | — |
| 353 | C22⋊D5 | — | 4 | 1 | no | — |
| 354 | C22⋊D5 | — | 4 | 2 | no | — |
| 355 | C22⋊D5 | — | 4 | 2 | no | — |
| 356 | C22⋊D5 | — | 8 | 1 | no | — |
| 357 | C22⋊D5 | — | 8 | 2 | no | — |
| 358 | C22⋊D5 | — | 8 | 2 | no | — |
| 359 | C22⋊D5 | — | 8 | 2 | no | — |
| 360 | C22⋊D5 | — | 8 | 2 | no | — |
| 361 | C2×Dic5 | — | 2 | 1 | no | — |
| 362 | C2×Dic5 | — | 2 | 1 | no | — |
| 363 | C2×Dic5 | — | 2 | 2 | no | — |
| 364 | C2×Dic5 | — | 4 | 4 | no | — |
| 365 | C2×Dic5 | — | 4 | 1 | no | — |
| 366 | C2×Dic5 | — | 4 | 1 | no | — |
| 367 | C2×Dic5 | — | 4 | 1 | no | — |
| 368 | C2×Dic5 | #120 | 1 | 1 | yes | characteristic |
| 369 | D20 | — | 2 | 1 | no | — |
| 370 | D20 | — | 2 | 2 | no | — |
| 371 | D20 | — | 4 | 1 | no | — |
| 372 | D20 | — | 4 | 2 | no | — |
| 373 | D20 | — | 4 | 2 | no | — |
| 374 | D20 | — | 4 | 1 | no | — |
| 375 | D20 | — | 4 | 2 | no | — |
| 376 | D20 | — | 8 | 2 | no | — |
| 377 | D20 | — | 8 | 1 | no | — |
| 378 | D20 | — | 8 | 2 | no | — |
| 379 | C4×D5 | — | 2 | 1 | no | — |
| 380 | C4×D5 | — | 2 | 2 | no | — |
| 381 | C4×D5 | — | 2 | 2 | no | — |
| 382 | C4×D5 | — | 2 | 1 | no | — |
| 383 | C4×D5 | — | 4 | 4 | no | — |
| 384 | C4×D5 | — | 4 | 2 | no | — |
| 385 | C4×D5 | — | 4 | 1 | no | — |
| 386 | C4×D5 | — | 4 | 2 | no | — |
| 387 | C4×D5 | — | 4 | 1 | no | — |
| 388 | C4×D5 | — | 4 | 2 | no | — |
| 389 | C4×D5 | — | 4 | 1 | no | — |
| 390 | Dic10 | — | 2 | 2 | no | — |
| 391 | Dic10 | — | 2 | 1 | no | — |
| 392 | Dic10 | — | 4 | 1 | no | — |
| 393 | Dic10 | — | 4 | 1 | no | — |
| 394 | Dic10 | — | 8 | 1 | no | — |
| 395 | C5×C8 | — | 4 | 2 | no | — |
| 396 | C5×C8 | — | 4 | 1 | no | — |
| 397 | #168 | — | 4 | 2 | no | — |
| 398 | #168 | — | 4 | 1 | no | — |
| 399 | 2−1+4 | — | 5 | 1 | no | — |
| 400 | 2−1+4 | — | 20 | 1 | no | — |
| 401 | 2−1+4 | C22×D5 | 1 | 1 | yes | characteristic |
| 402 | H(5,𝔽2) | — | 10 | 2 | no | — |
| 403 | H(5,𝔽2) | — | 10 | 1 | no | — |
| 404 | H(5,𝔽2) | — | 20 | 1 | no | — |
| 405 | C2×#41 | — | 5 | 1 | no | — |
| 406 | C2×#41 | — | 5 | 1 | no | — |
| 407 | C2×#41 | — | 10 | 2 | no | — |
| 408 | C2×#41 | — | 10 | 1 | no | — |
| 409 | C2×#41 | — | 10 | 1 | no | — |
| 410 | C2×#41 | — | 10 | 1 | no | — |
| 411 | C2×#41 | — | 20 | 1 | no | — |
| 412 | C2×#41 | — | 20 | 1 | no | — |
| 413 | C22×D4 | — | 5 | 2 | no | — |
| 414 | C22×D4 | — | 10 | 2 | no | — |
| 415 | C22×D4 | — | 10 | 1 | no | — |
| 416 | C22×D4 | — | 10 | 2 | no | — |
| 417 | #137 | — | 10 | 1 | no | — |
| 418 | #137 | — | 10 | 1 | no | — |
| 419 | #137 | — | 20 | 1 | no | — |
| 420 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 421 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 422 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 423 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 424 | AGL(1,ℤ/8) | — | 10 | 2 | no | — |
| 425 | AGL(1,ℤ/8) | — | 10 | 1 | no | — |
| 426 | AGL(1,ℤ/8) | — | 20 | 1 | no | — |
| 427 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 428 | AGL(1,ℤ/8) | — | 20 | 2 | no | — |
| 429 | #135 | — | 20 | 1 | no | — |
| 430 | #135 | — | 20 | 1 | no | — |
| 431 | C2×SD16 | — | 20 | 2 | no | — |
| 432 | C2×D8 | — | 20 | 2 | no | — |
| 433 | C2×M16 | — | 10 | 2 | no | — |
| 434 | C2×M16 | — | 10 | 1 | no | — |
| 435 | C4⋊Q8 | — | 5 | 1 | no | — |
| 436 | C4⋊Q8 | — | 10 | 1 | no | — |
| 437 | #127 | — | 5 | 1 | no | — |
| 438 | #127 | — | 5 | 2 | no | — |
| 439 | #127 | — | 5 | 2 | no | — |
| 440 | #127 | — | 10 | 1 | no | — |
| 441 | #127 | — | 10 | 2 | no | — |
| 442 | #124 | — | 2 | 1 | no | — |
| 443 | #124 | — | 2 | 2 | no | — |
| 444 | #124 | — | 5 | 2 | no | — |
| 445 | #124 | — | 5 | 1 | no | — |
| 446 | #124 | — | 10 | 2 | no | — |
| 447 | #124 | — | 10 | 2 | no | — |
| 448 | #124 | — | 10 | 2 | no | — |
| 449 | #124 | — | 10 | 2 | no | — |
| 450 | #124 | — | 10 | 1 | no | — |
| 451 | #124 | C22×D5 | 1 | 1 | yes | characteristic |
| 452 | #124 | C22×D5 | 1 | 2 | yes | — |
| 453 | #121 | — | 10 | 2 | no | — |
| 454 | #121 | — | 10 | 2 | no | — |
| 455 | #121 | — | 10 | 2 | no | — |
| 456 | #121 | — | 10 | 2 | no | — |
| 457 | #121 | — | 10 | 2 | no | — |
| 458 | #121 | — | 10 | 2 | no | — |
| 459 | #121 | — | 10 | 2 | no | — |
| 460 | #121 | — | 10 | 2 | no | — |
| 461 | #121 | — | 10 | 2 | no | — |
| 462 | #120 | — | 2 | 1 | no | — |
| 463 | #120 | — | 2 | 2 | no | — |
| 464 | #120 | — | 10 | 2 | no | — |
| 465 | #120 | — | 10 | 2 | no | — |
| 466 | #120 | — | 10 | 2 | no | — |
| 467 | #120 | — | 10 | 1 | no | — |
| 468 | #120 | — | 10 | 2 | no | — |
| 469 | #120 | — | 10 | 2 | no | — |
| 470 | #120 | — | 10 | 1 | no | — |
| 471 | #120 | — | 10 | 1 | no | — |
| 472 | C4×D4 | — | 10 | 2 | no | — |
| 473 | C4×D4 | — | 10 | 2 | no | — |
| 474 | C4×D4 | — | 10 | 2 | no | — |
| 475 | #117 | — | 5 | 2 | no | — |
| 476 | #117 | — | 10 | 2 | no | — |
| 477 | #117 | — | 10 | 1 | no | — |
| 478 | #117 | — | 10 | 2 | no | — |
| 479 | C2×C42 | — | 5 | 1 | no | — |
| 480 | #104 | — | 2 | 1 | no | — |
| 481 | #104 | — | 2 | 2 | no | — |
| 482 | #104 | — | 10 | 1 | no | — |
| 483 | #104 | — | 10 | 2 | no | — |
| 484 | #104 | — | 10 | 1 | no | — |
| 485 | #104 | — | 10 | 2 | no | — |
| 486 | #104 | — | 10 | 1 | no | — |
| 487 | #104 | — | 10 | 2 | no | — |
| 488 | #101 | — | 5 | 1 | no | — |
| 489 | #101 | — | 5 | 2 | no | — |
| 490 | #101 | C22×D5 | 1 | 1 | yes | characteristic |
| 491 | #101 | C22×D5 | 1 | 2 | yes | — |
| 492 | #100 | — | 10 | 2 | no | — |
| 493 | #100 | — | 10 | 1 | no | — |
| 494 | C22×C5 | — | 4 | 2 | no | — |
| 495 | C22×C5 | — | 4 | 2 | no | — |
| 496 | C22×C5 | — | 4 | 2 | no | — |
| 497 | C22×C5 | — | 4 | 1 | no | — |
| 498 | C22×C5 | — | 4 | 1 | no | — |
| 499 | C22×C5 | — | 4 | 2 | no | — |
| 500 | C22×C5 | — | 16 | 2 | no | — |
| 501 | C22×C5 | C2×#120 | 1 | 1 | yes | characteristic |
| 502 | C2×D5 | — | 2 | 1 | no | — |
| 503 | C2×D5 | — | 2 | 2 | no | — |
| 504 | C2×D5 | — | 4 | 1 | no | — |
| 505 | C2×D5 | — | 4 | 2 | no | — |
| 506 | C2×D5 | — | 4 | 2 | no | — |
| 507 | C2×D5 | — | 4 | 2 | no | — |
| 508 | C2×D5 | — | 4 | 1 | no | — |
| 509 | C2×D5 | — | 4 | 2 | no | — |
| 510 | C2×D5 | — | 16 | 1 | no | — |
| 511 | C2×D5 | — | 16 | 2 | no | — |
| 512 | C2×D5 | — | 16 | 4 | no | — |
| 513 | C2×D5 | — | 16 | 2 | no | — |
| 514 | C4×C5 | — | 2 | 1 | no | — |
| 515 | C4×C5 | — | 2 | 2 | no | — |
| 516 | C4×C5 | — | 4 | 1 | no | — |
| 517 | C4×C5 | — | 4 | 2 | no | — |
| 518 | C4×C5 | — | 4 | 1 | no | — |
| 519 | Dic5 | — | 2 | 2 | no | — |
| 520 | Dic5 | — | 4 | 2 | no | — |
| 521 | Dic5 | — | 4 | 1 | no | — |
| 522 | Dic5 | — | 4 | 1 | no | — |
| 523 | Dic5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 524 | Dic5 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 525 | C24 | — | 2 | 1 | no | — |
| 526 | C24 | — | 10 | 2 | no | — |
| 527 | C24 | — | 10 | 1 | no | — |
| 528 | #41 | — | 2 | 2 | no | — |
| 529 | #41 | — | 2 | 1 | no | — |
| 530 | #41 | — | 4 | 1 | no | — |
| 531 | #41 | — | 10 | 1 | no | — |
| 532 | #41 | — | 10 | 2 | no | — |
| 533 | #41 | — | 10 | 1 | no | — |
| 534 | #41 | — | 10 | 2 | no | — |
| 535 | #41 | — | 10 | 2 | no | — |
| 536 | #41 | — | 10 | 1 | no | — |
| 537 | #41 | — | 20 | 2 | no | — |
| 538 | #41 | — | 20 | 1 | no | — |
| 539 | #41 | — | 20 | 2 | no | — |
| 540 | #41 | — | 20 | 1 | no | — |
| 541 | #41 | — | 20 | 1 | no | — |
| 542 | #41 | — | 20 | 1 | no | — |
| 543 | #41 | — | 20 | 1 | no | — |
| 544 | #41 | — | 20 | 1 | no | — |
| 545 | #41 | — | 20 | 1 | no | — |
| 546 | #41 | — | 20 | 1 | no | — |
| 547 | #41 | — | 20 | 2 | no | — |
| 548 | #41 | — | 20 | 1 | no | — |
| 549 | #41 | — | 40 | 2 | no | — |
| 550 | #41 | — | 40 | 2 | no | — |
| 551 | C2×Q8 | — | 2 | 1 | no | — |
| 552 | C2×Q8 | — | 4 | 1 | no | — |
| 553 | C2×Q8 | — | 5 | 1 | no | — |
| 554 | C2×Q8 | — | 10 | 1 | no | — |
| 555 | C2×Q8 | — | 10 | 2 | no | — |
| 556 | C2×Q8 | — | 10 | 1 | no | — |
| 557 | C2×Q8 | — | 20 | 1 | no | — |
| 558 | C2×Q8 | C23×D5 | 1 | 1 | yes | characteristic |
| 559 | C2×D4 | — | 2 | 1 | no | — |
| 560 | C2×D4 | — | 2 | 2 | no | — |
| 561 | C2×D4 | — | 5 | 1 | no | — |
| 562 | C2×D4 | — | 5 | 2 | no | — |
| 563 | C2×D4 | — | 5 | 2 | no | — |
| 564 | C2×D4 | — | 10 | 2 | no | — |
| 565 | C2×D4 | — | 10 | 2 | no | — |
| 566 | C2×D4 | — | 10 | 1 | no | — |
| 567 | C2×D4 | — | 10 | 2 | no | — |
| 568 | C2×D4 | — | 10 | 2 | no | — |
| 569 | C2×D4 | — | 10 | 1 | no | — |
| 570 | C2×D4 | — | 10 | 2 | no | — |
| 571 | C2×D4 | — | 10 | 2 | no | — |
| 572 | C2×D4 | — | 10 | 2 | no | — |
| 573 | C2×D4 | — | 10 | 2 | no | — |
| 574 | C2×D4 | — | 10 | 1 | no | — |
| 575 | C2×D4 | — | 10 | 2 | no | — |
| 576 | C2×D4 | — | 10 | 2 | no | — |
| 577 | C2×D4 | — | 20 | 2 | no | — |
| 578 | C2×D4 | — | 20 | 1 | no | — |
| 579 | C2×D4 | — | 20 | 2 | no | — |
| 580 | C2×D4 | — | 20 | 2 | no | — |
| 581 | C2×D4 | — | 20 | 2 | no | — |
| 582 | C2×D4 | — | 20 | 1 | no | — |
| 583 | C2×D4 | — | 20 | 2 | no | — |
| 584 | C2×D4 | — | 20 | 1 | no | — |
| 585 | C2×D4 | — | 40 | 4 | no | — |
| 586 | C2×D4 | — | 40 | 1 | no | — |
| 587 | C2×D4 | — | 40 | 1 | no | — |
| 588 | C2×D4 | — | 40 | 4 | no | — |
| 589 | C2×D4 | D4×D5 | 1 | 1 | yes | characteristic |
| 590 | C2×D4 | D4×D5 | 1 | 2 | yes | — |
| 591 | C22×C4 | — | 5 | 1 | no | — |
| 592 | C22×C4 | — | 5 | 2 | no | — |
| 593 | C22×C4 | — | 10 | 1 | no | — |
| 594 | C22×C4 | — | 10 | 2 | no | — |
| 595 | C22×C4 | — | 10 | 1 | no | — |
| 596 | C22×C4 | — | 10 | 2 | no | — |
| 597 | C22×C4 | — | 20 | 1 | no | — |
| 598 | C22×C4 | — | 20 | 2 | no | — |
| 599 | Q16 | — | 20 | 1 | no | — |
| 600 | Q16 | — | 20 | 1 | no | — |
| 601 | SD16 | — | 4 | 2 | no | — |
| 602 | SD16 | — | 4 | 1 | no | — |
| 603 | SD16 | — | 20 | 1 | no | — |
| 604 | SD16 | — | 20 | 2 | no | — |
| 605 | SD16 | — | 20 | 1 | no | — |
| 606 | SD16 | — | 20 | 2 | no | — |
| 607 | SD16 | — | 20 | 1 | no | — |
| 608 | SD16 | — | 20 | 2 | no | — |
| 609 | D8 | — | 4 | 2 | no | — |
| 610 | D8 | — | 4 | 1 | no | — |
| 611 | D8 | — | 20 | 2 | no | — |
| 612 | D8 | — | 20 | 2 | no | — |
| 613 | D8 | — | 20 | 2 | no | — |
| 614 | D8 | — | 20 | 1 | no | — |
| 615 | M16 | — | 2 | 2 | no | — |
| 616 | M16 | — | 2 | 1 | no | — |
| 617 | M16 | — | 10 | 2 | no | — |
| 618 | M16 | — | 10 | 1 | no | — |
| 619 | M16 | — | 20 | 2 | no | — |
| 620 | M16 | — | 20 | 1 | no | — |
| 621 | C2×C8 | — | 20 | 2 | no | — |
| 622 | C2×C8 | — | 20 | 1 | no | — |
| 623 | C4⋊C4 | — | 10 | 2 | no | — |
| 624 | C4⋊C4 | — | 10 | 2 | no | — |
| 625 | C4⋊C4 | — | 10 | 2 | no | — |
| 626 | C22⋊C4 | — | 2 | 1 | no | — |
| 627 | C22⋊C4 | — | 2 | 2 | no | — |
| 628 | C22⋊C4 | — | 2 | 2 | no | — |
| 629 | C22⋊C4 | — | 2 | 2 | no | — |
| 630 | C22⋊C4 | — | 2 | 2 | no | — |
| 631 | C22⋊C4 | — | 10 | 2 | no | — |
| 632 | C22⋊C4 | — | 10 | 2 | no | — |
| 633 | C22⋊C4 | — | 10 | 2 | no | — |
| 634 | C22⋊C4 | — | 10 | 2 | no | — |
| 635 | C22⋊C4 | — | 10 | 1 | no | — |
| 636 | C22⋊C4 | — | 10 | 2 | no | — |
| 637 | C22⋊C4 | — | 10 | 2 | no | — |
| 638 | C22⋊C4 | — | 10 | 2 | no | — |
| 639 | C42 | — | 5 | 1 | no | — |
| 640 | C42 | — | 5 | 2 | no | — |
| 641 | C42 | — | 10 | 1 | no | — |
| 642 | C42 | — | 10 | 2 | no | — |
| 643 | C42 | D4×D5 | 1 | 1 | yes | characteristic |
| 644 | C42 | D4×D5 | 1 | 2 | yes | — |
| 645 | C2×C5 | — | 2 | 1 | no | — |
| 646 | C2×C5 | — | 8 | 1 | no | — |
| 647 | C2×C5 | — | 8 | 2 | no | — |
| 648 | C2×C5 | — | 8 | 1 | no | — |
| 649 | C2×C5 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 650 | D5 | — | 4 | 1 | no | — |
| 651 | D5 | — | 4 | 2 | no | — |
| 652 | D5 | — | 8 | 2 | no | — |
| 653 | D5 | — | 8 | 1 | no | — |
| 654 | C23 | — | 2 | 2 | no | — |
| 655 | C23 | — | 2 | 1 | no | — |
| 656 | C23 | — | 5 | 2 | no | — |
| 657 | C23 | — | 5 | 1 | no | — |
| 658 | C23 | — | 8 | 2 | no | — |
| 659 | C23 | — | 8 | 1 | no | — |
| 660 | C23 | — | 10 | 2 | no | — |
| 661 | C23 | — | 20 | 1 | no | — |
| 662 | C23 | — | 20 | 2 | no | — |
| 663 | C23 | — | 40 | 2 | no | — |
| 664 | C23 | — | 40 | 2 | no | — |
| 665 | C23 | — | 40 | 2 | no | — |
| 666 | C23 | — | 40 | 2 | no | — |
| 667 | C23 | — | 40 | 1 | no | — |
| 668 | Q8 | — | 2 | 2 | no | — |
| 669 | Q8 | — | 2 | 1 | no | — |
| 670 | Q8 | — | 4 | 1 | no | — |
| 671 | Q8 | — | 8 | 1 | no | — |
| 672 | Q8 | — | 10 | 2 | no | — |
| 673 | Q8 | — | 10 | 1 | no | — |
| 674 | Q8 | — | 20 | 1 | no | — |
| 675 | Q8 | — | 20 | 1 | no | — |
| 676 | Q8 | — | 40 | 1 | no | — |
| 677 | D4 | — | 2 | 2 | no | — |
| 678 | D4 | — | 2 | 1 | no | — |
| 679 | D4 | — | 4 | 2 | no | — |
| 680 | D4 | — | 4 | 1 | no | — |
| 681 | D4 | — | 4 | 1 | no | — |
| 682 | D4 | — | 8 | 2 | no | — |
| 683 | D4 | — | 8 | 1 | no | — |
| 684 | D4 | — | 10 | 2 | no | — |
| 685 | D4 | — | 10 | 1 | no | — |
| 686 | D4 | — | 20 | 2 | no | — |
| 687 | D4 | — | 20 | 1 | no | — |
| 688 | D4 | — | 20 | 2 | no | — |
| 689 | D4 | — | 20 | 1 | no | — |
| 690 | D4 | — | 20 | 2 | no | — |
| 691 | D4 | — | 20 | 1 | no | — |
| 692 | D4 | — | 20 | 2 | no | — |
| 693 | D4 | — | 20 | 2 | no | — |
| 694 | D4 | — | 20 | 4 | no | — |
| 695 | D4 | — | 20 | 4 | no | — |
| 696 | D4 | — | 20 | 1 | no | — |
| 697 | D4 | — | 20 | 2 | no | — |
| 698 | D4 | — | 20 | 1 | no | — |
| 699 | D4 | — | 40 | 2 | no | — |
| 700 | D4 | — | 40 | 2 | no | — |
| 701 | D4 | — | 40 | 1 | no | — |
| 702 | D4 | — | 40 | 1 | no | — |
| 703 | D4 | — | 40 | 2 | no | — |
| 704 | D4 | — | 40 | 2 | no | — |
| 705 | D4 | — | 40 | 2 | no | — |
| 706 | D4 | — | 40 | 2 | no | — |
| 707 | C2×C4 | — | 2 | 1 | no | — |
| 708 | C2×C4 | — | 2 | 2 | no | — |
| 709 | C2×C4 | — | 4 | 2 | no | — |
| 710 | C2×C4 | — | 4 | 1 | no | — |
| 711 | C2×C4 | — | 5 | 1 | no | — |
| 712 | C2×C4 | — | 10 | 1 | no | — |
| 713 | C2×C4 | — | 10 | 2 | no | — |
| 714 | C2×C4 | — | 10 | 2 | no | — |
| 715 | C2×C4 | — | 10 | 1 | no | — |
| 716 | C2×C4 | — | 10 | 1 | no | — |
| 717 | C2×C4 | — | 10 | 2 | no | — |
| 718 | C2×C4 | — | 10 | 1 | no | — |
| 719 | C2×C4 | — | 20 | 2 | no | — |
| 720 | C2×C4 | — | 20 | 1 | no | — |
| 721 | C2×C4 | — | 20 | 1 | no | — |
| 722 | C2×C4 | — | 20 | 4 | no | — |
| 723 | C2×C4 | — | 20 | 2 | no | — |
| 724 | C2×C4 | — | 20 | 1 | no | — |
| 725 | C2×C4 | — | 20 | 2 | no | — |
| 726 | C2×C4 | — | 20 | 1 | no | — |
| 727 | C2×C4 | — | 20 | 1 | no | — |
| 728 | C2×C4 | — | 20 | 1 | no | — |
| 729 | C2×C4 | — | 20 | 4 | no | — |
| 730 | C2×C4 | C2×D4×D5 | 1 | 1 | yes | characteristic |
| 731 | C2×C4 | C2×D4×D5 | 1 | 2 | yes | — |
| 732 | C8 | — | 4 | 2 | no | — |
| 733 | C8 | — | 4 | 1 | no | — |
| 734 | C8 | — | 20 | 2 | no | — |
| 735 | C8 | — | 20 | 1 | no | — |
| 736 | C5 | #33570 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 737 | C22 | — | 4 | 2 | no | — |
| 738 | C22 | — | 4 | 2 | no | — |
| 739 | C22 | — | 4 | 2 | no | — |
| 740 | C22 | — | 4 | 1 | no | — |
| 741 | C22 | — | 4 | 1 | no | — |
| 742 | C22 | — | 4 | 2 | no | — |
| 743 | C22 | — | 10 | 1 | no | — |
| 744 | C22 | — | 10 | 2 | no | — |
| 745 | C22 | — | 16 | 2 | no | — |
| 746 | C22 | — | 20 | 1 | no | — |
| 747 | C22 | — | 20 | 2 | no | — |
| 748 | C22 | — | 20 | 2 | no | — |
| 749 | C22 | — | 20 | 2 | no | — |
| 750 | C22 | — | 20 | 1 | no | — |
| 751 | C22 | — | 20 | 2 | no | — |
| 752 | C22 | — | 80 | 2 | no | — |
| 753 | C22 | — | 80 | 1 | no | — |
| 754 | C22 | — | 80 | 4 | no | — |
| 755 | C22 | — | 80 | 2 | no | — |
| 756 | C22 | D5×#120 | 1 | 1 | yes | characteristic |
| 757 | C4 | — | 2 | 2 | no | — |
| 758 | C4 | — | 2 | 1 | no | — |
| 759 | C4 | — | 4 | 2 | no | — |
| 760 | C4 | — | 4 | 1 | no | — |
| 761 | C4 | — | 4 | 1 | no | — |
| 762 | C4 | — | 5 | 1 | no | — |
| 763 | C4 | — | 5 | 1 | no | — |
| 764 | C4 | — | 10 | 2 | no | — |
| 765 | C4 | — | 20 | 2 | no | — |
| 766 | C4 | — | 20 | 1 | no | — |
| 767 | C4 | — | 20 | 1 | no | — |
| 768 | C2 | — | 2 | 1 | no | — |
| 769 | C2 | — | 8 | 2 | no | — |
| 770 | C2 | — | 8 | 1 | no | — |
| 771 | C2 | — | 8 | 1 | no | — |
| 772 | C2 | — | 20 | 2 | no | — |
| 773 | C2 | — | 20 | 1 | no | — |
| 774 | C2 | — | 40 | 2 | no | — |
| 775 | C2 | — | 40 | 1 | no | — |
| 776 | C2 | D5×B(4,𝔽2) | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10618988 | C2 | semidirect |
| 2. #10612017 | C2 | semidirect |
| 3. #10612015 | C2 | semidirect |
| 4. C5×#2202 | C2 | semidirect |
| 5. #10602744 | C2 | semidirect |
| 6. #10601781 | C2 | semidirect |
| 7. #10601780 | C2 | semidirect |
| 8. #10599959 | C2 | semidirect |
| 9. #10599958 | C2 | semidirect |
| 10. #10599954 | C2 | semidirect |
| 11. #10599953 | C2 | semidirect |
| 12. #66287 | C22 | semidirect |
| 13. C5×H(3,𝔽4) | C22 | semidirect |
| 17. #66017 | C22 | semidirect |
| 21. #66004 | C22 | semidirect |
| 28. C5×#454 | C22 | semidirect |
| 29. C5×#454 | C22 | semidirect |
| 30. #65535 | C22 | semidirect |
| 31. #65534 | C22 | semidirect |
| 34. #65351 | C22 | semidirect |
| 35. #65351 | C22 | semidirect |
| 40. #65042 | C22 | semidirect |
| 41. #65041 | C22 | semidirect |
| 42. #65040 | C22 | semidirect |
| 43. #65040 | C22 | semidirect |
| 44. C5×#355 | C22 | semidirect |
| 45. C5×#355 | C22 | semidirect |
| 46. #64762 | C22 | semidirect |
| 47. #64762 | C22 | semidirect |
| 48. #64698 | C22 | semidirect |
| 49. #64697 | C22 | semidirect |
| 50. #64697 | C22 | semidirect |
| 155. #2202 | D5 | semidirect |
| 283. H(3,𝔽4) | C2×D5 | semidirect |
| 301. #454 | C2×D5 | semidirect |
| 302. #454 | C2×D5 | semidirect |
| 315. #355 | C2×D5 | semidirect |
| 316. #355 | C2×D5 | semidirect |
| 736. C5 | #33570 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10618988 | 2 |
| #10612017 | 2 |
| #10612015 | 2 |
| C5×#2202 | 2 |
| #10602744 | 2 |
| #10601781 | 2 |
| #10601780 | 2 |
| #10599959 | 2 |
| #10599958 | 2 |
| #10599954 | 2 |
| #10599953 | 2 |
| #33570 | 5 |