Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
11210 conjugacy classes of subgroups.
The subgroup lattice has 836 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C22×#4150 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C22×#4147 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C5×#548 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#66168 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×Q8×C22⋊D5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10618638 | C2 | 1 | 32 | yes | maximal, direct product factor |
| 7 | C2×#66011 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C2×#66002 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | C2×#65963 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | C2×#65966 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | C2×#65942 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | C2×#65933 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | C2×#65910 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×C4×Q8×D5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×#65882 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | C2×#65886 | C2 | 1 | 3 | yes | maximal, complemented |
| 17 | C22×C5×#41 | C22 | 1 | 1 | yes | characteristic |
| 18 | C23×C5×Q8 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#4150 | — | 2 | 16 | no | — |
| 20 | C2×#4150 | C22 | 1 | 16 | yes | complemented |
| 21 | C2×#4147 | — | 2 | 16 | no | — |
| 22 | C2×#4147 | C22 | 1 | 16 | yes | complemented |
| 23 | C22×#713 | C22 | 1 | 3 | yes | — |
| 24 | C22×#713 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×Q8×D5 | C22 | 1 | 3 | yes | — |
| 26 | C22×Q8×D5 | C22 | 1 | 1 | yes | characteristic |
| 27 | C22×Q8×D5 | C22 | 1 | 1 | yes | characteristic |
| 28 | C22×#711 | C22 | 1 | 3 | yes | — |
| 29 | C22×#711 | C22 | 1 | 3 | yes | — |
| 30 | C22×#709 | C22 | 1 | 3 | yes | — |
| 31 | C22×#709 | C22 | 1 | 3 | yes | — |
| 32 | C22×#709 | C22 | 1 | 3 | yes | — |
| 33 | C23×Dic10 | C22 | 1 | 3 | yes | — |
| 34 | C5×#548 | C22 | 1 | 16 | yes | complemented |
| 35 | C2×C5×#124 | C22 | 1 | 3 | yes | — |
| 36 | C2×C5×C22⋊Q8 | C22 | 1 | 3 | yes | — |
| 37 | C2×C5×#121 | C22 | 1 | 3 | yes | — |
| 38 | C2×C4×C5×Q8 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×C4×C5×D4 | C22 | 1 | 3 | yes | — |
| 40 | #66168 | C22 | 1 | 16 | yes | complemented |
| 41 | Q8×C22⋊D5 | C22 | 1 | 16 | yes | complemented |
| 42 | C2×#4092 | C22 | 1 | 3 | yes | — |
| 43 | C2×Q8×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#4090 | C22 | 1 | 3 | yes | — |
| 45 | C2×#4086 | C22 | 1 | 3 | yes | — |
| 46 | C2×#4086 | C22 | 1 | 3 | yes | — |
| 47 | C2×#4085 | C22 | 1 | 6 | yes | — |
| 48 | C2×#4084 | C22 | 1 | 3 | yes | — |
| 49 | C2×#4084 | C22 | 1 | 3 | yes | — |
| 50 | C2×#4076 | C22 | 1 | 3 | yes | — |
| 51 | C2×C4×C22⋊D5 | C22 | 1 | 3 | yes | — |
| 52 | C2×C4×C22⋊D5 | C22 | 1 | 3 | yes | — |
| 53 | C2×#4070 | C22 | 1 | 3 | yes | — |
| 54 | #66011 | C22 | 1 | 48 | yes | complemented |
| 55 | #66002 | C22 | 1 | 48 | yes | complemented |
| 56 | #65966 | C22 | 1 | 48 | yes | complemented |
| 57 | #65963 | C22 | 1 | 48 | yes | complemented |
| 58 | #65942 | C22 | 1 | 48 | yes | complemented |
| 59 | #65933 | C22 | 1 | 48 | yes | complemented |
| 60 | #65910 | C22 | 1 | 16 | yes | complemented |
| 61 | C4×Q8×D5 | C22 | 1 | 16 | yes | complemented |
| 62 | #65886 | C22 | 1 | 48 | yes | complemented |
| 63 | #65882 | C22 | 1 | 48 | yes | complemented |
| 64 | C2×#4043 | C22 | 1 | 3 | yes | — |
| 65 | C2×#4042 | C22 | 1 | 6 | yes | — |
| 66 | C2×#4041 | C22 | 1 | 3 | yes | — |
| 67 | C2×#4041 | C22 | 1 | 3 | yes | — |
| 68 | C2×D5×C4⋊C4 | C22 | 1 | 3 | yes | — |
| 69 | C2×#4034 | C22 | 1 | 3 | yes | — |
| 70 | C2×#4033 | C22 | 1 | 3 | yes | — |
| 71 | C2×#4031 | C22 | 1 | 3 | yes | — |
| 72 | C2×#4031 | C22 | 1 | 3 | yes | — |
| 73 | C2×#4030 | C22 | 1 | 6 | yes | — |
| 74 | C2×#4030 | C22 | 1 | 6 | yes | — |
| 75 | C2×#4030 | C22 | 1 | 1 | yes | characteristic |
| 76 | C2×#4030 | C22 | 1 | 3 | yes | — |
| 77 | C2×#4027 | C22 | 1 | 6 | yes | — |
| 78 | C2×#4027 | C22 | 1 | 6 | yes | — |
| 79 | C2×#4024 | C22 | 1 | 6 | yes | — |
| 80 | C2×#4021 | C22 | 1 | 3 | yes | — |
| 81 | C2×C4×D20 | C22 | 1 | 3 | yes | — |
| 82 | C2×C42×D5 | C22 | 1 | 3 | yes | — |
| 83 | C2×C4×Dic10 | C22 | 1 | 3 | yes | — |
| 84 | C2×#3497 | — | 5 | 1 | no | maximal, Sylow |
| 85 | C2×C5×#41 | — | 2 | 8 | no | — |
| 86 | C2×C5×#41 | C23 | 1 | 8 | yes | — |
| 87 | C22×C5×Q8 | — | 2 | 8 | no | — |
| 88 | C22×C5×Q8 | C23 | 1 | 3 | yes | — |
| 89 | C22×C5×Q8 | C23 | 1 | 8 | yes | — |
| 90 | C22×C5×Q8 | C23 | 1 | 1 | yes | characteristic |
| 91 | C22×C5×D4 | C23 | 1 | 3 | yes | — |
| 92 | C22×C5×D4 | C23 | 1 | 3 | yes | — |
| 93 | C23×C4×C5 | C23 | 1 | 3 | yes | — |
| 94 | C23×C4×C5 | C23 | 1 | 3 | yes | — |
| 95 | C22×C22⋊D5 | C23 | 1 | 3 | yes | — |
| 96 | C22×C22⋊D5 | C23 | 1 | 3 | yes | — |
| 97 | C22×C22⋊D5 | C23 | 1 | 3 | yes | — |
| 98 | C22×C22⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 99 | C22×C22⋊D5 | C23 | 1 | 1 | yes | characteristic |
| 100 | C22×C22⋊D5 | C23 | 1 | 3 | yes | — |
| 101 | C22×C22⋊D5 | C23 | 1 | 6 | yes | — |
| 102 | C23×Dic5 | C23 | 1 | 6 | yes | — |
| 103 | #4150 | — | 2 | 128 | no | — |
| 104 | #4147 | — | 2 | 128 | no | — |
| 105 | C2×#713 | — | 2 | 8 | no | — |
| 106 | C2×#713 | — | 2 | 24 | no | — |
| 107 | C2×#713 | C23 | 1 | 8 | yes | — |
| 108 | C2×#713 | C23 | 1 | 24 | yes | — |
| 109 | C2×Q8×D5 | — | 2 | 8 | no | — |
| 110 | C2×Q8×D5 | — | 2 | 24 | no | — |
| 111 | C2×Q8×D5 | D4 | 1 | 16 | yes | complemented |
| 112 | C2×Q8×D5 | C23 | 1 | 8 | yes | — |
| 113 | C2×Q8×D5 | C23 | 1 | 24 | yes | — |
| 114 | C2×Q8×D5 | C23 | 1 | 8 | yes | — |
| 115 | C2×#711 | — | 2 | 24 | no | — |
| 116 | C2×#711 | — | 2 | 24 | no | — |
| 117 | C2×#711 | C23 | 1 | 24 | yes | — |
| 118 | C2×#711 | C23 | 1 | 24 | yes | — |
| 119 | C2×#709 | — | 2 | 24 | no | — |
| 120 | C2×#709 | — | 2 | 24 | no | — |
| 121 | C2×#709 | — | 2 | 24 | no | — |
| 122 | C2×#709 | C23 | 1 | 24 | yes | — |
| 123 | C2×#709 | C23 | 1 | 24 | yes | — |
| 124 | C2×#709 | C23 | 1 | 24 | yes | — |
| 125 | C22×D20 | C23 | 1 | 3 | yes | — |
| 126 | C22×D20 | C23 | 1 | 3 | yes | — |
| 127 | C22×D20 | C23 | 1 | 1 | yes | characteristic |
| 128 | C22×D20 | C23 | 1 | 3 | yes | — |
| 129 | C22×C4×D5 | C23 | 1 | 1 | yes | characteristic |
| 130 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 131 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 132 | C22×C4×D5 | C23 | 1 | 6 | yes | — |
| 133 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 134 | C22×C4×D5 | C23 | 1 | 3 | yes | — |
| 135 | C22×Dic10 | — | 2 | 24 | no | — |
| 136 | C22×Dic10 | C23 | 1 | 3 | yes | — |
| 137 | C22×Dic10 | C23 | 1 | 3 | yes | — |
| 138 | C22×Dic10 | C23 | 1 | 3 | yes | — |
| 139 | C22×Dic10 | C23 | 1 | 24 | yes | — |
| 140 | C22×Dic10 | C23 | 1 | 3 | yes | — |
| 141 | C5×#124 | C23 | 1 | 24 | yes | — |
| 142 | C5×C22⋊Q8 | C23 | 1 | 24 | yes | — |
| 143 | C5×#121 | C23 | 1 | 24 | yes | — |
| 144 | C4×C5×Q8 | C23 | 1 | 8 | yes | — |
| 145 | C4×C5×D4 | C23 | 1 | 24 | yes | — |
| 146 | C2×C5×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 147 | C2×C5×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 148 | C2×C5×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 149 | C2×C5×C22⋊C4 | C23 | 1 | 3 | yes | — |
| 150 | C2×C5×C22⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 151 | C2×C42×C5 | C23 | 1 | 3 | yes | — |
| 152 | C2×C22⋊Dic5 | C23 | 1 | 3 | yes | — |
| 153 | C2×C22⋊Dic5 | C23 | 1 | 3 | yes | — |
| 154 | #4092 | C23 | 1 | 24 | yes | — |
| 155 | Q8×Dic5 | C23 | 1 | 8 | yes | — |
| 156 | #4090 | C23 | 1 | 24 | yes | — |
| 157 | #4086 | C23 | 1 | 24 | yes | — |
| 158 | #4086 | C23 | 1 | 24 | yes | — |
| 159 | #4085 | C23 | 1 | 48 | yes | — |
| 160 | #4084 | C23 | 1 | 24 | yes | — |
| 161 | #4084 | C23 | 1 | 24 | yes | — |
| 162 | #4076 | C23 | 1 | 24 | yes | — |
| 163 | C4×C22⋊D5 | C23 | 1 | 24 | yes | — |
| 164 | C4×C22⋊D5 | C23 | 1 | 24 | yes | — |
| 165 | C2×#685 | C23 | 1 | 1 | yes | characteristic |
| 166 | C2×#685 | C23 | 1 | 3 | yes | — |
| 167 | C2×#685 | C23 | 1 | 6 | yes | — |
| 168 | C2×#685 | C23 | 1 | 3 | yes | — |
| 169 | C2×#685 | C23 | 1 | 3 | yes | — |
| 170 | C2×C4⋊Dic5 | C23 | 1 | 3 | yes | — |
| 171 | C2×C4⋊Dic5 | C23 | 1 | 3 | yes | — |
| 172 | #4070 | C23 | 1 | 24 | yes | — |
| 173 | C2×#683 | C23 | 1 | 6 | yes | — |
| 174 | C2×#683 | C23 | 1 | 6 | yes | — |
| 175 | C2×#683 | C23 | 1 | 3 | yes | — |
| 176 | C2×#683 | C23 | 1 | 1 | yes | characteristic |
| 177 | C2×C4×Dic5 | C23 | 1 | 3 | yes | — |
| 178 | C2×C4×Dic5 | C23 | 1 | 3 | yes | — |
| 179 | C2×C4×Dic5 | C23 | 1 | 3 | yes | — |
| 180 | #4043 | C23 | 1 | 24 | yes | — |
| 181 | #4042 | C23 | 1 | 48 | yes | — |
| 182 | #4041 | C23 | 1 | 24 | yes | — |
| 183 | #4041 | C23 | 1 | 24 | yes | — |
| 184 | D5×C4⋊C4 | C23 | 1 | 24 | yes | — |
| 185 | #4034 | C23 | 1 | 24 | yes | — |
| 186 | #4033 | C23 | 1 | 24 | yes | — |
| 187 | #4031 | C23 | 1 | 24 | yes | — |
| 188 | #4031 | C23 | 1 | 24 | yes | — |
| 189 | #4030 | C23 | 1 | 8 | yes | — |
| 190 | #4030 | C23 | 1 | 24 | yes | — |
| 191 | #4030 | C23 | 1 | 48 | yes | — |
| 192 | #4030 | C23 | 1 | 48 | yes | — |
| 193 | #4027 | C23 | 1 | 48 | yes | — |
| 194 | #4027 | C23 | 1 | 48 | yes | — |
| 195 | #4024 | C23 | 1 | 48 | yes | — |
| 196 | #4021 | C23 | 1 | 24 | yes | — |
| 197 | C4×D20 | C23 | 1 | 24 | yes | — |
| 198 | C42×D5 | C23 | 1 | 24 | yes | — |
| 199 | C4×Dic10 | C23 | 1 | 24 | yes | — |
| 200 | C22×2−1+4 | — | 5 | 1 | no | — |
| 201 | C22×2−1+4 | — | 5 | 1 | no | — |
| 202 | #3497 | — | 5 | 32 | no | — |
| 203 | C2×#550 | — | 5 | 1 | no | — |
| 204 | C2×#550 | — | 5 | 3 | no | — |
| 205 | C2×D4×Q8 | — | 5 | 1 | no | — |
| 206 | C2×D4×Q8 | — | 5 | 3 | no | — |
| 207 | C2×#548 | — | 5 | 3 | no | — |
| 208 | C2×#548 | — | 5 | 1 | no | — |
| 209 | C2×#548 | — | 5 | 3 | no | — |
| 210 | C2×#548 | D5 | 1 | 1 | yes | characteristic, complemented |
| 211 | C2×#537 | — | 5 | 3 | no | — |
| 212 | C2×#537 | — | 5 | 3 | no | — |
| 213 | C2×#532 | — | 5 | 3 | no | — |
| 214 | C2×#532 | — | 5 | 3 | no | — |
| 215 | C22×C4×Q8 | — | 5 | 1 | no | — |
| 216 | C24×C5 | C24 | 1 | 1 | yes | characteristic |
| 217 | C24×C5 | C24 | 1 | 3 | yes | — |
| 218 | C23×D5 | C24 | 1 | 3 | yes | — |
| 219 | C23×D5 | C24 | 1 | 1 | yes | characteristic |
| 220 | C23×D5 | C24 | 1 | 1 | yes | characteristic |
| 221 | C5×#41 | — | 2 | 32 | no | — |
| 222 | C2×C5×Q8 | — | 2 | 32 | no | — |
| 223 | C2×C5×Q8 | — | 2 | 12 | no | — |
| 224 | C2×C5×Q8 | C2×D4 | 1 | 8 | yes | — |
| 225 | C2×C5×Q8 | C24 | 1 | 12 | yes | — |
| 226 | C2×C5×Q8 | C24 | 1 | 4 | yes | — |
| 227 | C2×C5×D4 | — | 2 | 12 | no | — |
| 228 | C2×C5×D4 | — | 4 | 6 | no | — |
| 229 | C2×C5×D4 | C24 | 1 | 12 | yes | — |
| 230 | C2×C5×D4 | C24 | 1 | 12 | yes | — |
| 231 | C22×C4×C5 | — | 2 | 12 | no | — |
| 232 | C22×C4×C5 | — | 2 | 12 | no | — |
| 233 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 234 | C22×C4×C5 | C24 | 1 | 3 | yes | — |
| 235 | C22×C4×C5 | C24 | 1 | 3 | yes | — |
| 236 | C22×C4×C5 | C24 | 1 | 1 | yes | characteristic |
| 237 | C22×C4×C5 | C24 | 1 | 12 | yes | — |
| 238 | C22×C4×C5 | C24 | 1 | 12 | yes | — |
| 239 | C22×C4×C5 | C24 | 1 | 3 | yes | — |
| 240 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 241 | C2×C22⋊D5 | — | 2 | 12 | no | — |
| 242 | C2×C22⋊D5 | — | 2 | 12 | no | — |
| 243 | C2×C22⋊D5 | — | 2 | 12 | no | — |
| 244 | C2×C22⋊D5 | — | 2 | 12 | no | — |
| 245 | C2×C22⋊D5 | — | 2 | 4 | no | — |
| 246 | C2×C22⋊D5 | — | 4 | 12 | no | — |
| 247 | C2×C22⋊D5 | C24 | 1 | 4 | yes | — |
| 248 | C2×C22⋊D5 | C24 | 1 | 12 | yes | — |
| 249 | C2×C22⋊D5 | C24 | 1 | 12 | yes | — |
| 250 | C2×C22⋊D5 | C24 | 1 | 12 | yes | — |
| 251 | C2×C22⋊D5 | C24 | 1 | 12 | yes | — |
| 252 | C2×C22⋊D5 | C24 | 1 | 4 | yes | — |
| 253 | C2×C22⋊D5 | C24 | 1 | 24 | yes | — |
| 254 | C22×Dic5 | — | 2 | 24 | no | — |
| 255 | C22×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 256 | C22×Dic5 | C24 | 1 | 3 | yes | — |
| 257 | C22×Dic5 | C24 | 1 | 3 | yes | — |
| 258 | C22×Dic5 | C24 | 1 | 24 | yes | — |
| 259 | C22×Dic5 | C24 | 1 | 3 | yes | — |
| 260 | C22×Dic5 | C24 | 1 | 1 | yes | characteristic |
| 261 | #713 | — | 2 | 32 | no | — |
| 262 | #713 | — | 2 | 96 | no | — |
| 263 | Q8×D5 | — | 2 | 32 | no | — |
| 264 | Q8×D5 | — | 2 | 96 | no | — |
| 265 | Q8×D5 | C2×D4 | 1 | 64 | yes | complemented |
| 266 | #711 | — | 2 | 96 | no | — |
| 267 | #711 | — | 2 | 96 | no | — |
| 268 | #709 | — | 2 | 96 | no | — |
| 269 | #709 | — | 2 | 96 | no | — |
| 270 | #709 | — | 2 | 96 | no | — |
| 271 | C2×D20 | — | 2 | 4 | no | — |
| 272 | C2×D20 | — | 2 | 12 | no | — |
| 273 | C2×D20 | — | 2 | 12 | no | — |
| 274 | C2×D20 | — | 4 | 6 | no | — |
| 275 | C2×D20 | C24 | 1 | 4 | yes | — |
| 276 | C2×D20 | C24 | 1 | 12 | yes | — |
| 277 | C2×D20 | C24 | 1 | 12 | yes | — |
| 278 | C2×D20 | C24 | 1 | 12 | yes | — |
| 279 | C2×C4×D5 | — | 2 | 12 | no | — |
| 280 | C2×C4×D5 | — | 2 | 12 | no | — |
| 281 | C2×C4×D5 | — | 2 | 24 | no | — |
| 282 | C2×C4×D5 | — | 2 | 4 | no | — |
| 283 | C2×C4×D5 | — | 4 | 6 | no | — |
| 284 | C2×C4×D5 | C2×D4 | 1 | 24 | yes | — |
| 285 | C2×C4×D5 | C24 | 1 | 12 | yes | — |
| 286 | C2×C4×D5 | C24 | 1 | 12 | yes | — |
| 287 | C2×C4×D5 | C24 | 1 | 24 | yes | — |
| 288 | C2×C4×D5 | C24 | 1 | 4 | yes | — |
| 289 | C2×C4×D5 | C24 | 1 | 12 | yes | — |
| 290 | C2×C4×D5 | C24 | 1 | 12 | yes | — |
| 291 | C2×Dic10 | — | 2 | 12 | no | — |
| 292 | C2×Dic10 | — | 2 | 12 | no | — |
| 293 | C2×Dic10 | — | 2 | 12 | no | — |
| 294 | C2×Dic10 | — | 2 | 96 | no | — |
| 295 | C2×Dic10 | C2×D4 | 1 | 24 | yes | — |
| 296 | C2×Dic10 | C24 | 1 | 12 | yes | — |
| 297 | C2×Dic10 | C24 | 1 | 12 | yes | — |
| 298 | C2×Dic10 | C24 | 1 | 12 | yes | — |
| 299 | C2×Dic10 | C24 | 1 | 12 | yes | — |
| 300 | C5×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 301 | C5×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 302 | C5×C22⋊C4 | C24 | 1 | 4 | yes | — |
| 303 | C5×C22⋊C4 | C24 | 1 | 12 | yes | — |
| 304 | C5×C22⋊C4 | C24 | 1 | 24 | yes | — |
| 305 | C42×C5 | C24 | 1 | 12 | yes | — |
| 306 | C22⋊Dic5 | C24 | 1 | 12 | yes | — |
| 307 | C22⋊Dic5 | C24 | 1 | 12 | yes | — |
| 308 | #685 | C24 | 1 | 4 | yes | — |
| 309 | #685 | C24 | 1 | 12 | yes | — |
| 310 | #685 | C24 | 1 | 24 | yes | — |
| 311 | #685 | C24 | 1 | 12 | yes | — |
| 312 | #685 | C24 | 1 | 12 | yes | — |
| 313 | C4⋊Dic5 | C24 | 1 | 12 | yes | — |
| 314 | C4⋊Dic5 | C24 | 1 | 12 | yes | — |
| 315 | #683 | C24 | 1 | 24 | yes | — |
| 316 | #683 | C24 | 1 | 24 | yes | — |
| 317 | #683 | C24 | 1 | 12 | yes | — |
| 318 | #683 | C24 | 1 | 4 | yes | — |
| 319 | C4×Dic5 | C24 | 1 | 12 | yes | — |
| 320 | C4×Dic5 | C24 | 1 | 12 | yes | — |
| 321 | C4×Dic5 | C24 | 1 | 12 | yes | — |
| 322 | C2×2−1+4 | — | 5 | 16 | no | — |
| 323 | C2×2−1+4 | — | 5 | 16 | no | — |
| 324 | C2×2−1+4 | — | 10 | 16 | no | — |
| 325 | C2×2−1+4 | — | 10 | 16 | no | — |
| 326 | C22×#41 | — | 5 | 3 | no | — |
| 327 | C22×#41 | — | 5 | 1 | no | — |
| 328 | C22×#41 | — | 5 | 3 | no | — |
| 329 | C22×#41 | — | 5 | 3 | no | — |
| 330 | C22×#41 | — | 5 | 3 | no | — |
| 331 | C22×#41 | — | 5 | 3 | no | — |
| 332 | C22×#41 | — | 5 | 3 | no | — |
| 333 | C22×#41 | C2×D5 | 1 | 1 | yes | characteristic |
| 334 | C23×Q8 | — | 5 | 1 | no | — |
| 335 | C23×Q8 | — | 5 | 3 | no | — |
| 336 | C23×Q8 | — | 5 | 1 | no | — |
| 337 | C23×Q8 | — | 5 | 3 | no | — |
| 338 | C23×Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 339 | #550 | — | 5 | 16 | no | — |
| 340 | #550 | — | 5 | 48 | no | — |
| 341 | D4×Q8 | — | 5 | 16 | no | — |
| 342 | D4×Q8 | — | 5 | 48 | no | — |
| 343 | #548 | — | 5 | 48 | no | — |
| 344 | #548 | — | 5 | 16 | no | — |
| 345 | #548 | — | 5 | 48 | no | — |
| 346 | #548 | C2×D5 | 1 | 16 | yes | complemented |
| 347 | #537 | — | 5 | 48 | no | — |
| 348 | #537 | — | 5 | 48 | no | — |
| 349 | #532 | — | 5 | 48 | no | — |
| 350 | #532 | — | 5 | 48 | no | — |
| 351 | C2×C4⋊Q8 | — | 5 | 3 | no | — |
| 352 | C2×C4⋊Q8 | — | 5 | 3 | no | — |
| 353 | C2×#127 | — | 5 | 3 | no | — |
| 354 | C2×#127 | — | 5 | 3 | no | — |
| 355 | C2×#124 | — | 5 | 3 | no | — |
| 356 | C2×#124 | — | 5 | 3 | no | — |
| 357 | C2×#124 | — | 5 | 3 | no | — |
| 358 | C2×#124 | C2×D5 | 1 | 3 | yes | — |
| 359 | C2×C22⋊Q8 | — | 5 | 3 | no | — |
| 360 | C2×C22⋊Q8 | — | 5 | 3 | no | — |
| 361 | C2×C22⋊Q8 | — | 5 | 6 | no | — |
| 362 | C2×C22⋊Q8 | — | 5 | 3 | no | — |
| 363 | C2×C22⋊Q8 | — | 5 | 6 | no | — |
| 364 | C2×C22⋊Q8 | C2×D5 | 1 | 3 | yes | — |
| 365 | C2×#121 | — | 5 | 3 | no | — |
| 366 | C2×#121 | — | 5 | 3 | no | — |
| 367 | C2×#121 | — | 5 | 6 | no | — |
| 368 | C2×#121 | — | 5 | 3 | no | — |
| 369 | C2×#121 | — | 5 | 3 | no | — |
| 370 | C2×#121 | — | 5 | 3 | no | — |
| 371 | C2×#121 | — | 5 | 3 | no | — |
| 372 | C2×#121 | — | 5 | 1 | no | — |
| 373 | C2×#121 | — | 5 | 6 | no | — |
| 374 | C2×#121 | — | 5 | 6 | no | — |
| 375 | C2×#121 | C2×D5 | 1 | 3 | yes | — |
| 376 | C2×C4×Q8 | — | 5 | 1 | no | — |
| 377 | C2×C4×Q8 | — | 5 | 16 | no | — |
| 378 | C2×C4×Q8 | — | 5 | 3 | no | — |
| 379 | C2×C4×Q8 | — | 5 | 3 | no | — |
| 380 | C2×C4×Q8 | C2×D5 | 1 | 1 | yes | characteristic |
| 381 | C2×C4×D4 | — | 5 | 3 | no | — |
| 382 | C2×C4×D4 | — | 5 | 3 | no | — |
| 383 | C2×C4×D4 | — | 5 | 6 | no | — |
| 384 | C2×C4×D4 | — | 5 | 6 | no | — |
| 385 | C2×C4×D4 | — | 5 | 3 | no | — |
| 386 | C2×C4×D4 | C2×D5 | 1 | 3 | yes | — |
| 387 | C22×C4⋊C4 | — | 5 | 3 | no | — |
| 388 | C22×C42 | — | 5 | 3 | no | — |
| 389 | C23×C5 | — | 2 | 6 | no | — |
| 390 | C23×C5 | — | 2 | 2 | no | — |
| 391 | C23×C5 | — | 2 | 2 | no | — |
| 392 | C23×C5 | — | 2 | 6 | no | — |
| 393 | C23×C5 | — | 2 | 6 | no | — |
| 394 | C23×C5 | — | 2 | 2 | no | — |
| 395 | C23×C5 | C25 | 1 | 2 | yes | — |
| 396 | C23×C5 | C25 | 1 | 6 | yes | — |
| 397 | C23×C5 | C25 | 1 | 1 | yes | characteristic |
| 398 | C22×D5 | — | 2 | 2 | no | — |
| 399 | C22×D5 | — | 2 | 2 | no | — |
| 400 | C22×D5 | — | 2 | 6 | no | — |
| 401 | C22×D5 | — | 2 | 2 | no | — |
| 402 | C22×D5 | — | 2 | 6 | no | — |
| 403 | C22×D5 | — | 2 | 2 | no | — |
| 404 | C22×D5 | — | 2 | 2 | no | — |
| 405 | C22×D5 | — | 2 | 6 | no | — |
| 406 | C22×D5 | C22×D4 | 1 | 4 | yes | — |
| 407 | C22×D5 | C25 | 1 | 6 | yes | — |
| 408 | C22×D5 | C25 | 1 | 2 | yes | — |
| 409 | C22×D5 | C25 | 1 | 2 | yes | — |
| 410 | C5×Q8 | — | 2 | 24 | no | — |
| 411 | C5×Q8 | C22×D4 | 1 | 16 | yes | — |
| 412 | C5×D4 | — | 2 | 24 | no | — |
| 413 | C5×D4 | — | 4 | 12 | no | — |
| 414 | C2×C4×C5 | — | 2 | 2 | no | — |
| 415 | C2×C4×C5 | — | 2 | 6 | no | — |
| 416 | C2×C4×C5 | — | 2 | 2 | no | — |
| 417 | C2×C4×C5 | — | 2 | 6 | no | — |
| 418 | C2×C4×C5 | — | 2 | 24 | no | — |
| 419 | C2×C4×C5 | — | 2 | 24 | no | — |
| 420 | C2×C4×C5 | C22×D4 | 1 | 12 | yes | — |
| 421 | C2×C4×C5 | C25 | 1 | 2 | yes | — |
| 422 | C2×C4×C5 | C25 | 1 | 6 | yes | — |
| 423 | C2×C4×C5 | C25 | 1 | 6 | yes | — |
| 424 | C2×C4×C5 | C25 | 1 | 2 | yes | — |
| 425 | C2×C4×C5 | C25 | 1 | 6 | yes | — |
| 426 | C22⋊D5 | — | 2 | 8 | no | — |
| 427 | C22⋊D5 | — | 2 | 24 | no | — |
| 428 | C22⋊D5 | — | 2 | 24 | no | — |
| 429 | C22⋊D5 | — | 2 | 24 | no | — |
| 430 | C22⋊D5 | — | 2 | 24 | no | — |
| 431 | C22⋊D5 | — | 2 | 8 | no | — |
| 432 | C22⋊D5 | — | 4 | 24 | no | — |
| 433 | C2×Dic5 | — | 2 | 2 | no | — |
| 434 | C2×Dic5 | — | 2 | 6 | no | — |
| 435 | C2×Dic5 | — | 2 | 6 | no | — |
| 436 | C2×Dic5 | — | 2 | 48 | no | — |
| 437 | C2×Dic5 | C22×D4 | 1 | 12 | yes | — |
| 438 | C2×Dic5 | 2−1+4 | 1 | 4 | yes | complemented |
| 439 | C2×Dic5 | C25 | 1 | 6 | yes | — |
| 440 | C2×Dic5 | C25 | 1 | 6 | yes | — |
| 441 | C2×Dic5 | C25 | 1 | 2 | yes | — |
| 442 | C2×Dic5 | C25 | 1 | 6 | yes | — |
| 443 | C2×Dic5 | C25 | 1 | 2 | yes | — |
| 444 | D20 | — | 2 | 8 | no | — |
| 445 | D20 | — | 2 | 24 | no | — |
| 446 | D20 | — | 2 | 24 | no | — |
| 447 | D20 | — | 4 | 12 | no | — |
| 448 | C4×D5 | — | 2 | 24 | no | — |
| 449 | C4×D5 | — | 2 | 24 | no | — |
| 450 | C4×D5 | — | 2 | 48 | no | — |
| 451 | C4×D5 | — | 2 | 8 | no | — |
| 452 | C4×D5 | — | 4 | 12 | no | — |
| 453 | C4×D5 | C22×D4 | 1 | 48 | yes | — |
| 454 | Dic10 | — | 2 | 24 | no | — |
| 455 | Dic10 | — | 2 | 24 | no | — |
| 456 | Dic10 | — | 2 | 24 | no | — |
| 457 | Dic10 | C22×D4 | 1 | 48 | yes | — |
| 458 | 2−1+4 | — | 10 | 128 | no | — |
| 459 | 2−1+4 | — | 10 | 128 | no | — |
| 460 | C2×#41 | — | 2 | 8 | no | — |
| 461 | C2×#41 | — | 5 | 24 | no | — |
| 462 | C2×#41 | — | 5 | 8 | no | — |
| 463 | C2×#41 | — | 5 | 24 | no | — |
| 464 | C2×#41 | — | 5 | 24 | no | — |
| 465 | C2×#41 | — | 5 | 24 | no | — |
| 466 | C2×#41 | — | 5 | 24 | no | — |
| 467 | C2×#41 | — | 5 | 24 | no | — |
| 468 | C2×#41 | — | 10 | 24 | no | — |
| 469 | C2×#41 | — | 10 | 24 | no | — |
| 470 | C2×#41 | — | 10 | 24 | no | — |
| 471 | C2×#41 | — | 10 | 24 | no | — |
| 472 | C2×#41 | — | 10 | 24 | no | — |
| 473 | C2×#41 | — | 10 | 24 | no | — |
| 474 | C2×#41 | — | 10 | 8 | no | — |
| 475 | C2×#41 | C22×D5 | 1 | 8 | yes | — |
| 476 | C22×Q8 | — | 2 | 8 | no | — |
| 477 | C22×Q8 | — | 5 | 16 | no | — |
| 478 | C22×Q8 | — | 5 | 8 | no | — |
| 479 | C22×Q8 | — | 5 | 24 | no | — |
| 480 | C22×Q8 | — | 5 | 8 | no | — |
| 481 | C22×Q8 | — | 5 | 3 | no | — |
| 482 | C22×Q8 | — | 5 | 3 | no | — |
| 483 | C22×Q8 | — | 5 | 3 | no | — |
| 484 | C22×Q8 | — | 5 | 3 | no | — |
| 485 | C22×Q8 | — | 5 | 24 | no | — |
| 486 | C22×Q8 | — | 10 | 24 | no | — |
| 487 | C22×Q8 | — | 10 | 24 | no | — |
| 488 | C22×Q8 | — | 10 | 8 | no | — |
| 489 | C22×Q8 | C22×D5 | 1 | 3 | yes | — |
| 490 | C22×Q8 | C22×D5 | 1 | 8 | yes | — |
| 491 | C22×Q8 | C22×D5 | 1 | 1 | yes | characteristic |
| 492 | C22×D4 | — | 5 | 1 | no | — |
| 493 | C22×D4 | — | 5 | 3 | no | — |
| 494 | C22×D4 | — | 5 | 1 | no | — |
| 495 | C22×D4 | — | 5 | 3 | no | — |
| 496 | C22×D4 | — | 5 | 3 | no | — |
| 497 | C22×D4 | — | 5 | 3 | no | — |
| 498 | C22×D4 | — | 5 | 6 | no | — |
| 499 | C22×D4 | — | 5 | 1 | no | — |
| 500 | C22×D4 | — | 5 | 3 | no | — |
| 501 | C22×D4 | — | 5 | 3 | no | — |
| 502 | C22×D4 | — | 5 | 3 | no | — |
| 503 | C22×D4 | C22×D5 | 1 | 3 | yes | — |
| 504 | C22×D4 | C22×D5 | 1 | 3 | yes | — |
| 505 | C23×C4 | — | 5 | 3 | no | — |
| 506 | C23×C4 | — | 5 | 6 | no | — |
| 507 | C23×C4 | — | 5 | 6 | no | — |
| 508 | C23×C4 | — | 5 | 3 | no | — |
| 509 | C23×C4 | — | 5 | 3 | no | — |
| 510 | C23×C4 | — | 5 | 1 | no | — |
| 511 | C23×C4 | — | 5 | 3 | no | — |
| 512 | C23×C4 | C22×D5 | 1 | 3 | yes | — |
| 513 | C23×C4 | C22×D5 | 1 | 3 | yes | — |
| 514 | C4⋊Q8 | — | 5 | 24 | no | — |
| 515 | C4⋊Q8 | — | 5 | 24 | no | — |
| 516 | #127 | — | 5 | 24 | no | — |
| 517 | #127 | — | 5 | 24 | no | — |
| 518 | #124 | — | 5 | 24 | no | — |
| 519 | #124 | — | 5 | 24 | no | — |
| 520 | #124 | — | 5 | 24 | no | — |
| 521 | #124 | C22×D5 | 1 | 24 | yes | — |
| 522 | C22⋊Q8 | — | 5 | 24 | no | — |
| 523 | C22⋊Q8 | — | 5 | 24 | no | — |
| 524 | C22⋊Q8 | — | 5 | 48 | no | — |
| 525 | C22⋊Q8 | — | 5 | 24 | no | — |
| 526 | C22⋊Q8 | — | 5 | 48 | no | — |
| 527 | C22⋊Q8 | C22×D5 | 1 | 24 | yes | — |
| 528 | #121 | — | 5 | 24 | no | — |
| 529 | #121 | — | 5 | 24 | no | — |
| 530 | #121 | — | 5 | 48 | no | — |
| 531 | #121 | — | 5 | 24 | no | — |
| 532 | #121 | — | 5 | 24 | no | — |
| 533 | #121 | — | 5 | 24 | no | — |
| 534 | #121 | — | 5 | 24 | no | — |
| 535 | #121 | — | 5 | 8 | no | — |
| 536 | #121 | — | 5 | 48 | no | — |
| 537 | #121 | — | 5 | 48 | no | — |
| 538 | #121 | C22×D5 | 1 | 24 | yes | — |
| 539 | C4×Q8 | — | 5 | 8 | no | — |
| 540 | C4×Q8 | — | 5 | 24 | no | — |
| 541 | C4×Q8 | — | 5 | 24 | no | — |
| 542 | C4×Q8 | C22×D5 | 1 | 8 | yes | — |
| 543 | C4×D4 | — | 5 | 24 | no | — |
| 544 | C4×D4 | — | 5 | 24 | no | — |
| 545 | C4×D4 | — | 5 | 48 | no | — |
| 546 | C4×D4 | — | 5 | 48 | no | — |
| 547 | C4×D4 | — | 5 | 24 | no | — |
| 548 | C4×D4 | C22×D5 | 1 | 24 | yes | — |
| 549 | C2×C4⋊C4 | — | 5 | 6 | no | — |
| 550 | C2×C4⋊C4 | — | 5 | 3 | no | — |
| 551 | C2×C4⋊C4 | — | 5 | 1 | no | — |
| 552 | C2×C4⋊C4 | — | 5 | 3 | no | — |
| 553 | C2×C4⋊C4 | — | 5 | 6 | no | — |
| 554 | C2×C4⋊C4 | — | 5 | 3 | no | — |
| 555 | C2×C4⋊C4 | — | 5 | 24 | no | — |
| 556 | C2×C4⋊C4 | C22×D5 | 1 | 3 | yes | — |
| 557 | C2×C4⋊C4 | C22×D5 | 1 | 3 | yes | — |
| 558 | C2×C22⋊C4 | — | 5 | 3 | no | — |
| 559 | C2×C22⋊C4 | — | 5 | 3 | no | — |
| 560 | C2×C22⋊C4 | — | 5 | 3 | no | — |
| 561 | C2×C22⋊C4 | — | 5 | 1 | no | — |
| 562 | C2×C22⋊C4 | — | 5 | 3 | no | — |
| 563 | C2×C22⋊C4 | — | 5 | 3 | no | — |
| 564 | C2×C22⋊C4 | — | 5 | 6 | no | — |
| 565 | C2×C22⋊C4 | C22×D5 | 1 | 3 | yes | — |
| 566 | C2×C22⋊C4 | C22×D5 | 1 | 6 | yes | — |
| 567 | C2×C22⋊C4 | C22×D5 | 1 | 1 | yes | characteristic |
| 568 | C2×C42 | — | 5 | 3 | no | — |
| 569 | C2×C42 | — | 5 | 3 | no | — |
| 570 | C2×C42 | — | 5 | 3 | no | — |
| 571 | C2×C42 | — | 5 | 24 | no | — |
| 572 | C2×C42 | C22×D5 | 1 | 3 | yes | — |
| 573 | C22×C5 | — | 2 | 6 | no | — |
| 574 | C22×C5 | — | 2 | 2 | no | — |
| 575 | C22×C5 | — | 2 | 2 | no | — |
| 576 | C22×C5 | — | 2 | 6 | no | — |
| 577 | C22×C5 | — | 2 | 6 | no | — |
| 578 | C22×C5 | — | 2 | 2 | no | — |
| 579 | C22×C5 | — | 4 | 12 | no | — |
| 580 | C22×C5 | — | 4 | 4 | no | — |
| 581 | C22×C5 | C23×D4 | 1 | 2 | yes | — |
| 582 | C22×C5 | C2×2−1+4 | 1 | 2 | yes | — |
| 583 | C22×C5 | #585 | 1 | 2 | yes | — |
| 584 | C22×C5 | C26 | 1 | 1 | yes | characteristic |
| 585 | C2×D5 | — | 2 | 2 | no | — |
| 586 | C2×D5 | — | 2 | 2 | no | — |
| 587 | C2×D5 | — | 2 | 8 | no | — |
| 588 | C2×D5 | — | 2 | 6 | no | — |
| 589 | C2×D5 | — | 2 | 2 | no | — |
| 590 | C2×D5 | — | 2 | 6 | no | — |
| 591 | C2×D5 | — | 2 | 2 | no | — |
| 592 | C2×D5 | — | 2 | 2 | no | — |
| 593 | C2×D5 | — | 2 | 6 | no | — |
| 594 | C2×D5 | — | 4 | 12 | no | — |
| 595 | C2×D5 | — | 4 | 4 | no | — |
| 596 | C2×D5 | C23×D4 | 1 | 4 | yes | — |
| 597 | C4×C5 | — | 2 | 2 | no | — |
| 598 | C4×C5 | — | 2 | 6 | no | — |
| 599 | C4×C5 | — | 2 | 2 | no | — |
| 600 | C4×C5 | — | 2 | 6 | no | — |
| 601 | C4×C5 | C23×D4 | 1 | 12 | yes | — |
| 602 | Dic5 | — | 2 | 2 | no | — |
| 603 | Dic5 | — | 2 | 6 | no | — |
| 604 | Dic5 | — | 2 | 6 | no | — |
| 605 | Dic5 | C23×D4 | 1 | 12 | yes | — |
| 606 | Dic5 | C2×2−1+4 | 1 | 4 | yes | complemented |
| 607 | C24 | — | 5 | 1 | no | — |
| 608 | C24 | — | 5 | 1 | no | — |
| 609 | C24 | — | 5 | 3 | no | — |
| 610 | C24 | C23×D5 | 1 | 1 | yes | characteristic |
| 611 | C24 | C23×D5 | 1 | 3 | yes | — |
| 612 | #41 | — | 2 | 32 | no | — |
| 613 | #41 | — | 10 | 96 | no | — |
| 614 | #41 | — | 10 | 96 | no | — |
| 615 | #41 | — | 10 | 96 | no | — |
| 616 | #41 | — | 10 | 96 | no | — |
| 617 | #41 | — | 10 | 96 | no | — |
| 618 | #41 | — | 10 | 96 | no | — |
| 619 | #41 | — | 10 | 32 | no | — |
| 620 | C2×Q8 | — | 2 | 32 | no | — |
| 621 | C2×Q8 | — | 2 | 12 | no | — |
| 622 | C2×Q8 | — | 5 | 64 | no | — |
| 623 | C2×Q8 | — | 5 | 24 | no | — |
| 624 | C2×Q8 | — | 5 | 12 | no | — |
| 625 | C2×Q8 | — | 5 | 12 | no | — |
| 626 | C2×Q8 | — | 5 | 12 | no | — |
| 627 | C2×Q8 | — | 5 | 12 | no | — |
| 628 | C2×Q8 | — | 10 | 12 | no | — |
| 629 | C2×Q8 | — | 10 | 12 | no | — |
| 630 | C2×Q8 | — | 10 | 96 | no | — |
| 631 | C2×Q8 | — | 10 | 96 | no | — |
| 632 | C2×Q8 | — | 10 | 32 | no | — |
| 633 | C2×Q8 | — | 10 | 12 | no | — |
| 634 | C2×Q8 | D4×D5 | 1 | 8 | yes | — |
| 635 | C2×Q8 | C23×D5 | 1 | 12 | yes | — |
| 636 | C2×Q8 | C23×D5 | 1 | 4 | yes | — |
| 637 | C2×D4 | — | 2 | 12 | no | — |
| 638 | C2×D4 | — | 4 | 6 | no | — |
| 639 | C2×D4 | — | 5 | 4 | no | — |
| 640 | C2×D4 | — | 5 | 12 | no | — |
| 641 | C2×D4 | — | 5 | 4 | no | — |
| 642 | C2×D4 | — | 5 | 12 | no | — |
| 643 | C2×D4 | — | 5 | 12 | no | — |
| 644 | C2×D4 | — | 5 | 12 | no | — |
| 645 | C2×D4 | — | 5 | 24 | no | — |
| 646 | C2×D4 | — | 5 | 4 | no | — |
| 647 | C2×D4 | — | 5 | 12 | no | — |
| 648 | C2×D4 | — | 5 | 12 | no | — |
| 649 | C2×D4 | — | 5 | 12 | no | — |
| 650 | C2×D4 | — | 10 | 4 | no | — |
| 651 | C2×D4 | — | 10 | 12 | no | — |
| 652 | C2×D4 | — | 10 | 12 | no | — |
| 653 | C2×D4 | — | 10 | 12 | no | — |
| 654 | C2×D4 | — | 10 | 4 | no | — |
| 655 | C2×D4 | — | 10 | 12 | no | — |
| 656 | C2×D4 | — | 10 | 4 | no | — |
| 657 | C2×D4 | — | 10 | 12 | no | — |
| 658 | C2×D4 | — | 10 | 12 | no | — |
| 659 | C2×D4 | — | 20 | 6 | no | — |
| 660 | C2×D4 | — | 20 | 12 | no | — |
| 661 | C2×D4 | C23×D5 | 1 | 12 | yes | — |
| 662 | C2×D4 | C23×D5 | 1 | 12 | yes | — |
| 663 | C22×C4 | — | 2 | 12 | no | — |
| 664 | C22×C4 | — | 2 | 12 | no | — |
| 665 | C22×C4 | — | 5 | 1 | no | — |
| 666 | C22×C4 | — | 5 | 3 | no | — |
| 667 | C22×C4 | — | 5 | 24 | no | — |
| 668 | C22×C4 | — | 5 | 12 | no | — |
| 669 | C22×C4 | — | 5 | 24 | no | — |
| 670 | C22×C4 | — | 5 | 3 | no | — |
| 671 | C22×C4 | — | 5 | 1 | no | — |
| 672 | C22×C4 | — | 5 | 3 | no | — |
| 673 | C22×C4 | — | 5 | 4 | no | — |
| 674 | C22×C4 | — | 5 | 24 | no | — |
| 675 | C22×C4 | — | 5 | 12 | no | — |
| 676 | C22×C4 | — | 5 | 12 | no | — |
| 677 | C22×C4 | — | 5 | 12 | no | — |
| 678 | C22×C4 | — | 10 | 24 | no | — |
| 679 | C22×C4 | — | 10 | 4 | no | — |
| 680 | C22×C4 | — | 10 | 24 | no | — |
| 681 | C22×C4 | — | 10 | 12 | no | — |
| 682 | C22×C4 | — | 10 | 12 | no | — |
| 683 | C22×C4 | — | 20 | 6 | no | — |
| 684 | C22×C4 | C23×D5 | 1 | 12 | yes | — |
| 685 | C22×C4 | C23×D5 | 1 | 12 | yes | — |
| 686 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 687 | C22×C4 | C23×D5 | 1 | 3 | yes | — |
| 688 | C22×C4 | C23×D5 | 1 | 1 | yes | characteristic |
| 689 | C22×C4 | C23×D5 | 1 | 3 | yes | — |
| 690 | C22×C4 | C23×D5 | 1 | 3 | yes | — |
| 691 | C4⋊C4 | — | 5 | 24 | no | — |
| 692 | C4⋊C4 | — | 5 | 12 | no | — |
| 693 | C4⋊C4 | — | 5 | 4 | no | — |
| 694 | C4⋊C4 | — | 5 | 12 | no | — |
| 695 | C4⋊C4 | — | 5 | 24 | no | — |
| 696 | C4⋊C4 | — | 5 | 12 | no | — |
| 697 | C4⋊C4 | C23×D5 | 1 | 12 | yes | — |
| 698 | C4⋊C4 | C23×D5 | 1 | 12 | yes | — |
| 699 | C22⋊C4 | — | 5 | 12 | no | — |
| 700 | C22⋊C4 | — | 5 | 12 | no | — |
| 701 | C22⋊C4 | — | 5 | 12 | no | — |
| 702 | C22⋊C4 | — | 5 | 4 | no | — |
| 703 | C22⋊C4 | — | 5 | 12 | no | — |
| 704 | C22⋊C4 | — | 5 | 12 | no | — |
| 705 | C22⋊C4 | — | 5 | 24 | no | — |
| 706 | C22⋊C4 | C23×D5 | 1 | 12 | yes | — |
| 707 | C22⋊C4 | C23×D5 | 1 | 24 | yes | — |
| 708 | C22⋊C4 | C23×D5 | 1 | 4 | yes | — |
| 709 | C42 | — | 5 | 12 | no | — |
| 710 | C42 | — | 5 | 12 | no | — |
| 711 | C42 | — | 5 | 12 | no | — |
| 712 | C42 | C23×D5 | 1 | 12 | yes | — |
| 713 | C2×C5 | — | 4 | 6 | no | — |
| 714 | C2×C5 | — | 4 | 2 | no | — |
| 715 | C2×C5 | #3497 | 1 | 4 | yes | complemented |
| 716 | C2×C5 | C24×D4 | 1 | 1 | yes | characteristic |
| 717 | C2×C5 | C22×2−1+4 | 1 | 1 | yes | characteristic |
| 718 | C2×C5 | C2×#585 | 1 | 1 | yes | characteristic |
| 719 | D5 | — | 2 | 4 | no | — |
| 720 | D5 | — | 4 | 6 | no | — |
| 721 | D5 | — | 4 | 2 | no | — |
| 722 | C23 | — | 2 | 2 | no | — |
| 723 | C23 | — | 2 | 6 | no | — |
| 724 | C23 | — | 2 | 2 | no | — |
| 725 | C23 | — | 2 | 6 | no | — |
| 726 | C23 | — | 2 | 2 | no | — |
| 727 | C23 | — | 2 | 6 | no | — |
| 728 | C23 | — | 5 | 4 | no | — |
| 729 | C23 | — | 5 | 2 | no | — |
| 730 | C23 | — | 5 | 2 | no | — |
| 731 | C23 | — | 5 | 6 | no | — |
| 732 | C23 | — | 10 | 2 | no | — |
| 733 | C23 | — | 10 | 2 | no | — |
| 734 | C23 | — | 10 | 6 | no | — |
| 735 | C23 | — | 10 | 2 | no | — |
| 736 | C23 | — | 10 | 2 | no | — |
| 737 | C23 | — | 10 | 6 | no | — |
| 738 | C23 | — | 10 | 2 | no | — |
| 739 | C23 | — | 10 | 6 | no | — |
| 740 | C23 | C24×D5 | 1 | 2 | yes | — |
| 741 | C23 | C24×D5 | 1 | 6 | yes | — |
| 742 | C23 | C24×D5 | 1 | 1 | yes | characteristic |
| 743 | Q8 | — | 2 | 24 | no | — |
| 744 | Q8 | — | 5 | 48 | no | — |
| 745 | Q8 | — | 10 | 24 | no | — |
| 746 | Q8 | — | 10 | 24 | no | — |
| 747 | Q8 | — | 10 | 24 | no | — |
| 748 | Q8 | C2×D4×D5 | 1 | 16 | yes | — |
| 749 | D4 | — | 2 | 24 | no | — |
| 750 | D4 | — | 4 | 12 | no | — |
| 751 | D4 | — | 10 | 8 | no | — |
| 752 | D4 | — | 10 | 24 | no | — |
| 753 | D4 | — | 10 | 24 | no | — |
| 754 | D4 | — | 10 | 24 | no | — |
| 755 | D4 | — | 10 | 8 | no | — |
| 756 | D4 | — | 10 | 24 | no | — |
| 757 | D4 | — | 10 | 8 | no | — |
| 758 | D4 | — | 10 | 24 | no | — |
| 759 | D4 | — | 10 | 24 | no | — |
| 760 | D4 | — | 20 | 12 | no | — |
| 761 | D4 | — | 20 | 24 | no | — |
| 762 | C2×C4 | — | 2 | 2 | no | — |
| 763 | C2×C4 | — | 2 | 6 | no | — |
| 764 | C2×C4 | — | 2 | 6 | no | — |
| 765 | C2×C4 | — | 2 | 2 | no | — |
| 766 | C2×C4 | — | 2 | 24 | no | — |
| 767 | C2×C4 | — | 2 | 24 | no | — |
| 768 | C2×C4 | — | 5 | 12 | no | — |
| 769 | C2×C4 | — | 5 | 4 | no | — |
| 770 | C2×C4 | — | 5 | 2 | no | — |
| 771 | C2×C4 | — | 5 | 6 | no | — |
| 772 | C2×C4 | — | 5 | 48 | no | — |
| 773 | C2×C4 | — | 5 | 6 | no | — |
| 774 | C2×C4 | — | 5 | 2 | no | — |
| 775 | C2×C4 | — | 5 | 6 | no | — |
| 776 | C2×C4 | — | 10 | 48 | no | — |
| 777 | C2×C4 | — | 10 | 8 | no | — |
| 778 | C2×C4 | — | 10 | 48 | no | — |
| 779 | C2×C4 | — | 10 | 6 | no | — |
| 780 | C2×C4 | — | 10 | 2 | no | — |
| 781 | C2×C4 | — | 10 | 6 | no | — |
| 782 | C2×C4 | — | 10 | 24 | no | — |
| 783 | C2×C4 | — | 10 | 24 | no | — |
| 784 | C2×C4 | — | 20 | 12 | no | — |
| 785 | C2×C4 | C2×D4×D5 | 1 | 12 | yes | — |
| 786 | C2×C4 | C24×D5 | 1 | 2 | yes | — |
| 787 | C2×C4 | C24×D5 | 1 | 6 | yes | — |
| 788 | C2×C4 | C24×D5 | 1 | 2 | yes | — |
| 789 | C2×C4 | C24×D5 | 1 | 6 | yes | — |
| 790 | C2×C4 | C24×D5 | 1 | 6 | yes | — |
| 791 | C5 | C2×#3497 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 792 | C22 | — | 2 | 2 | no | — |
| 793 | C22 | — | 2 | 6 | no | — |
| 794 | C22 | — | 2 | 2 | no | — |
| 795 | C22 | — | 2 | 6 | no | — |
| 796 | C22 | — | 2 | 2 | no | — |
| 797 | C22 | — | 2 | 6 | no | — |
| 798 | C22 | — | 4 | 4 | no | — |
| 799 | C22 | — | 4 | 12 | no | — |
| 800 | C22 | — | 5 | 4 | no | — |
| 801 | C22 | — | 10 | 8 | no | — |
| 802 | C22 | — | 10 | 2 | no | — |
| 803 | C22 | — | 10 | 2 | no | — |
| 804 | C22 | — | 10 | 6 | no | — |
| 805 | C22 | — | 10 | 2 | no | — |
| 806 | C22 | — | 10 | 2 | no | — |
| 807 | C22 | — | 10 | 6 | no | — |
| 808 | C22 | — | 10 | 2 | no | — |
| 809 | C22 | — | 10 | 6 | no | — |
| 810 | C22 | — | 20 | 12 | no | — |
| 811 | C22 | — | 20 | 4 | no | — |
| 812 | C22 | C22×D4×D5 | 1 | 2 | yes | — |
| 813 | C22 | #66283 | 1 | 2 | yes | — |
| 814 | C22 | D5×2−1+4 | 1 | 2 | yes | — |
| 815 | C22 | C25×D5 | 1 | 1 | yes | characteristic |
| 816 | C4 | — | 2 | 2 | no | — |
| 817 | C4 | — | 2 | 6 | no | — |
| 818 | C4 | — | 2 | 6 | no | — |
| 819 | C4 | — | 2 | 2 | no | — |
| 820 | C4 | — | 5 | 12 | no | — |
| 821 | C4 | — | 5 | 4 | no | — |
| 822 | C4 | — | 10 | 6 | no | — |
| 823 | C4 | — | 10 | 2 | no | — |
| 824 | C4 | — | 10 | 6 | no | — |
| 825 | C4 | C22×D4×D5 | 1 | 12 | yes | — |
| 826 | C2 | — | 4 | 2 | no | — |
| 827 | C2 | — | 4 | 6 | no | — |
| 828 | C2 | — | 10 | 4 | no | — |
| 829 | C2 | — | 20 | 6 | no | — |
| 830 | C2 | — | 20 | 2 | no | — |
| 831 | C2 | #10618638 | 1 | 4 | yes | direct product factor |
| 832 | C2 | C23×D4×D5 | 1 | 1 | yes | characteristic |
| 833 | C2 | C2×#66283 | 1 | 1 | yes | characteristic |
| 834 | C2 | C2×D5×2−1+4 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C23 | C24×D5 |
| commutator, cosocle | C22×C5 | C26 |
| Frattini | C22 | C25×D5 |
| Fitting | C2×C5×#548 | C2 |
| socle | C23×C5 | C25 |
| hypercenter | C2×#548 | D5 |
| hypocenter | C5 | C2×#3497 |
| LCS | G ▷ C22×C5 ▷ C5 | |
| UCS | C1 ◁ C23 ◁ C2×#548 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#4150 | C2 | semidirect |
| 2. C22×#4147 | C2 | semidirect |
| 3. C2×C5×#548 | C2 | semidirect |
| 4. C2×#66168 | C2 | semidirect |
| 5. C2×Q8×C22⋊D5 | C2 | semidirect |
| 6. #10618638 | C2 | direct (N × H) |
| 7. C2×#66011 | C2 | semidirect |
| 8. C2×#66002 | C2 | semidirect |
| 9. C2×#65963 | C2 | semidirect |
| 10. C2×#65966 | C2 | semidirect |
| 11. C2×#65942 | C2 | semidirect |
| 12. C2×#65933 | C2 | semidirect |
| 13. C2×#65910 | C2 | semidirect |
| 14. C2×C4×Q8×D5 | C2 | semidirect |
| 15. C2×#65882 | C2 | semidirect |
| 16. C2×#65886 | C2 | semidirect |
| 20. C2×#4150 | C22 | semidirect |
| 22. C2×#4147 | C22 | semidirect |
| 34. C5×#548 | C22 | semidirect |
| 40. #66168 | C22 | semidirect |
| 41. Q8×C22⋊D5 | C22 | semidirect |
| 54. #66011 | C22 | semidirect |
| 55. #66002 | C22 | semidirect |
| 56. #65966 | C22 | semidirect |
| 57. #65963 | C22 | semidirect |
| 58. #65942 | C22 | semidirect |
| 59. #65933 | C22 | semidirect |
| 60. #65910 | C22 | semidirect |
| 61. C4×Q8×D5 | C22 | semidirect |
| 62. #65886 | C22 | semidirect |
| 63. #65882 | C22 | semidirect |
| 111. C2×Q8×D5 | D4 | semidirect |
| 210. C2×#548 | D5 | semidirect |
| 265. Q8×D5 | C2×D4 | semidirect |
| 346. #548 | C2×D5 | semidirect |
| 438. C2×Dic5 | 2−1+4 | semidirect |
| 606. Dic5 | C2×2−1+4 | semidirect |
| 715. C2×C5 | #3497 | semidirect |
| 791. C5 | C2×#3497 | semidirect |
| 831. C2 | #10618638 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#4150 | 2 |
| C22×#4147 | 2 |
| C2×C5×#548 | 2 |
| C2×#66168 | 2 |
| C2×Q8×C22⋊D5 | 2 |
| #10618638 | 2 |
| C2×#66011 | 2 |
| C2×#66002 | 2 |
| C2×#65963 | 2 |
| C2×#65966 | 2 |
| C2×#65942 | 2 |
| C2×#65933 | 2 |
| C2×#65910 | 2 |
| C2×C4×Q8×D5 | 2 |
| C2×#65882 | 2 |
| C2×#65886 | 2 |
| C2×#3497 | 5 |