Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1706 conjugacy classes of subgroups.
The subgroup lattice has 1100 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | A4×#709 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×C4×C5⋊S4 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×#5912 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11756799 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11756794 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11756758 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C4×D5×S4 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11756752 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11756751 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | (C5⋊S4)⋊Q8 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11756746 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10617938 | — | 3 | 1 | no | maximal, Hall |
| 13 | C22×C5⋊S4 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×D5×S4 | C22 | 1 | 2 | yes | — |
| 15 | C2×C4×C5×A4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | #92016 | — | 4 | 1 | no | maximal |
| 17 | A4×C22⋊D5 | C22 | 1 | 2 | yes | complemented |
| 18 | A4×D20 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C4×D5×A4 | C22 | 1 | 2 | yes | complemented |
| 20 | A4×Dic10 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×A4⋊Dic5 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C4×C5⋊S4 | C22 | 1 | 1 | yes | characteristic |
| 23 | C4×C5⋊S4 | C22 | 1 | 1 | yes | characteristic |
| 24 | C4×C5⋊S4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C4×C5⋊S4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C5×GL(2,ℤ/4) | C22 | 1 | 2 | yes | complemented |
| 27 | C5×C4⋊S4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C4×C5×S4 | C22 | 1 | 2 | yes | complemented |
| 29 | C5×A4⋊Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #91905 | C22 | 1 | 2 | yes | complemented |
| 31 | #91904 | C22 | 1 | 2 | yes | complemented |
| 32 | D5×SL(2,ℤ/4) | C22 | 1 | 2 | yes | complemented |
| 33 | #91902 | C22 | 1 | 2 | yes | complemented |
| 34 | #91901 | C22 | 1 | 2 | yes | — |
| 35 | Dic5×S4 | C22 | 1 | 2 | yes | complemented |
| 36 | #91899 | C22 | 1 | 2 | yes | complemented |
| 37 | #41×S4 | — | 5 | 1 | no | maximal, Hall |
| 38 | C2×D5×#41 | — | 3 | 1 | no | — |
| 39 | C22×#709 | D3 | 1 | 1 | yes | characteristic, complemented |
| 40 | C5×#525 | — | 3 | 1 | no | — |
| 41 | #66166 | — | 3 | 1 | no | — |
| 42 | C2×C4×C22⋊D5 | — | 3 | 1 | no | — |
| 43 | #65989 | — | 3 | 2 | no | — |
| 44 | #65988 | — | 3 | 2 | no | — |
| 45 | #65967 | — | 3 | 1 | no | — |
| 46 | #65966 | — | 3 | 1 | no | — |
| 47 | #65965 | — | 3 | 1 | no | — |
| 48 | #65964 | — | 3 | 1 | no | — |
| 49 | #65946 | — | 3 | 1 | no | — |
| 50 | #65943 | — | 3 | 1 | no | — |
| 51 | #65933 | — | 3 | 1 | no | — |
| 52 | #65932 | — | 3 | 1 | no | — |
| 53 | #65925 | — | 3 | 2 | no | — |
| 54 | #65924 | — | 3 | 2 | no | — |
| 55 | #65882 | — | 3 | 2 | no | — |
| 56 | #65881 | — | 3 | 2 | no | — |
| 57 | #65881 | — | 3 | 2 | no | — |
| 58 | C4×D4×D5 | — | 3 | 2 | no | — |
| 59 | #65858 | — | 3 | 1 | no | — |
| 60 | #65856 | — | 3 | 1 | no | — |
| 61 | C22×C5×A4 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×D5×A4 | C23 | 1 | 2 | yes | — |
| 63 | C2×C5⋊S4 | — | 2 | 2 | no | — |
| 64 | C2×C5⋊S4 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×C5⋊S4 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×C5×S4 | C23 | 1 | 2 | yes | — |
| 67 | D5×S4 | — | 2 | 4 | no | — |
| 68 | C2×C4×D15 | — | 4 | 1 | no | — |
| 69 | C5×#235 | — | 4 | 1 | no | — |
| 70 | C3×#709 | — | 4 | 1 | no | — |
| 71 | C4×C5×A4 | C23 | 1 | 1 | yes | characteristic |
| 72 | C4×C5×A4 | C23 | 1 | 1 | yes | characteristic |
| 73 | #6790 | — | 4 | 2 | no | — |
| 74 | #6780 | — | 4 | 2 | no | — |
| 75 | #6777 | — | 4 | 1 | no | — |
| 76 | C4×D3×D5 | — | 4 | 2 | no | — |
| 77 | #6771 | — | 4 | 2 | no | — |
| 78 | D15⋊Q8 | — | 4 | 1 | no | — |
| 79 | #6768 | — | 4 | 1 | no | — |
| 80 | #6766 | — | 4 | 1 | no | — |
| 81 | A4×Dic5 | C23 | 1 | 2 | yes | — |
| 82 | A4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 83 | A4⋊Dic5 | C23 | 1 | 1 | yes | characteristic |
| 84 | C5×SL(2,ℤ/4) | C23 | 1 | 2 | yes | — |
| 85 | A4×#41 | — | 5 | 1 | no | — |
| 86 | #5919 | — | 5 | 1 | no | — |
| 87 | Q8×S4 | — | 5 | 1 | no | — |
| 88 | #5914 | — | 5 | 2 | no | — |
| 89 | #5914 | — | 5 | 1 | no | — |
| 90 | D4×S4 | — | 5 | 2 | no | — |
| 91 | D4×S4 | — | 5 | 1 | no | — |
| 92 | #5912 | — | 5 | 2 | no | — |
| 93 | #5912 | D5 | 1 | 1 | yes | characteristic, complemented |
| 94 | C2×C4×S4 | — | 5 | 1 | no | — |
| 95 | C2×C4×S4 | — | 5 | 2 | no | — |
| 96 | C2×C5×#41 | — | 3 | 1 | no | — |
| 97 | C23×C4×C5 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 98 | C22×C22⋊D5 | — | 3 | 1 | no | — |
| 99 | C22×C22⋊D5 | C2×D3 | 1 | 2 | yes | complemented |
| 100 | D5×#41 | — | 6 | 2 | no | — |
| 101 | D5×#41 | — | 6 | 1 | no | — |
| 102 | D5×#41 | — | 6 | 1 | no | — |
| 103 | D5×#41 | — | 6 | 1 | no | — |
| 104 | D5×#41 | — | 6 | 2 | no | — |
| 105 | D5×#41 | — | 6 | 1 | no | — |
| 106 | C2×#713 | — | 3 | 1 | no | — |
| 107 | C2×Q8×D5 | — | 3 | 1 | no | — |
| 108 | C2×#711 | — | 3 | 2 | no | — |
| 109 | C2×#711 | — | 3 | 1 | no | — |
| 110 | C2×D4×D5 | — | 3 | 2 | no | — |
| 111 | C2×D4×D5 | — | 3 | 1 | no | — |
| 112 | C2×D4×D5 | — | 3 | 2 | no | — |
| 113 | C2×#709 | — | 3 | 1 | no | — |
| 114 | C2×#709 | — | 3 | 1 | no | — |
| 115 | C2×#709 | — | 3 | 2 | no | — |
| 116 | C2×#709 | — | 3 | 1 | no | — |
| 117 | C2×#709 | — | 3 | 1 | no | — |
| 118 | C2×#709 | — | 3 | 2 | no | — |
| 119 | C2×#709 | — | 3 | 2 | no | — |
| 120 | C22×D20 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 121 | C22×C4×D5 | — | 3 | 1 | no | — |
| 122 | C22×C4×D5 | — | 3 | 2 | no | — |
| 123 | C22×C4×D5 | C2×D3 | 1 | 2 | yes | complemented |
| 124 | C22×Dic10 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 125 | C5×#123 | — | 3 | 2 | no | — |
| 126 | C5×C22⋊Q8 | — | 3 | 1 | no | — |
| 127 | C5×C22⋊Q8 | — | 3 | 1 | no | — |
| 128 | C5×#121 | — | 3 | 1 | no | — |
| 129 | C5×#121 | — | 3 | 1 | no | — |
| 130 | C5×#120 | — | 3 | 2 | no | — |
| 131 | C4×C5×D4 | — | 3 | 2 | no | — |
| 132 | C4×C5×D4 | — | 3 | 2 | no | — |
| 133 | C5×#117 | — | 3 | 1 | no | — |
| 134 | C2×C22⋊Dic5 | — | 3 | 1 | no | — |
| 135 | #4093 | — | 3 | 1 | no | — |
| 136 | #4090 | — | 3 | 1 | no | — |
| 137 | #4086 | — | 3 | 2 | no | — |
| 138 | #4086 | — | 3 | 1 | no | — |
| 139 | #4085 | — | 3 | 2 | no | — |
| 140 | #4085 | — | 3 | 2 | no | — |
| 141 | #4085 | — | 3 | 2 | no | — |
| 142 | #4085 | — | 3 | 2 | no | — |
| 143 | #4084 | — | 3 | 2 | no | — |
| 144 | #4083 | — | 3 | 2 | no | — |
| 145 | #4083 | — | 3 | 2 | no | — |
| 146 | #4082 | — | 3 | 1 | no | — |
| 147 | D4×Dic5 | — | 3 | 2 | no | — |
| 148 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 149 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 150 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 151 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 152 | C4×C22⋊D5 | — | 3 | 2 | no | — |
| 153 | C4×C22⋊D5 | — | 3 | 2 | no | — |
| 154 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 155 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 156 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 157 | C4×C22⋊D5 | — | 3 | 1 | no | — |
| 158 | C2×#685 | — | 3 | 1 | no | — |
| 159 | C2×#683 | — | 3 | 1 | no | — |
| 160 | C2×C4×Dic5 | — | 3 | 1 | no | — |
| 161 | #4043 | — | 3 | 1 | no | — |
| 162 | #4043 | — | 3 | 1 | no | — |
| 163 | #4042 | — | 3 | 2 | no | — |
| 164 | #4042 | — | 3 | 2 | no | — |
| 165 | #4041 | — | 3 | 1 | no | — |
| 166 | #4041 | — | 3 | 1 | no | — |
| 167 | #4041 | — | 3 | 2 | no | — |
| 168 | #4040 | — | 3 | 2 | no | — |
| 169 | #4040 | — | 3 | 2 | no | — |
| 170 | #4039 | — | 3 | 1 | no | — |
| 171 | #4039 | — | 3 | 1 | no | — |
| 172 | #4039 | — | 3 | 2 | no | — |
| 173 | D5×C4⋊C4 | — | 3 | 2 | no | — |
| 174 | #4034 | — | 3 | 2 | no | — |
| 175 | #4033 | — | 3 | 1 | no | — |
| 176 | #4033 | — | 3 | 1 | no | — |
| 177 | #4032 | — | 3 | 2 | no | — |
| 178 | #4031 | — | 3 | 2 | no | — |
| 179 | #4031 | — | 3 | 2 | no | — |
| 180 | #4030 | — | 3 | 2 | no | — |
| 181 | #4030 | — | 3 | 2 | no | — |
| 182 | #4030 | — | 3 | 2 | no | — |
| 183 | #4030 | — | 3 | 2 | no | — |
| 184 | #4029 | — | 3 | 2 | no | — |
| 185 | #4029 | — | 3 | 2 | no | — |
| 186 | #4028 | — | 3 | 2 | no | — |
| 187 | #4028 | — | 3 | 2 | no | — |
| 188 | #4028 | — | 3 | 2 | no | — |
| 189 | #4027 | — | 3 | 2 | no | — |
| 190 | #4027 | — | 3 | 2 | no | — |
| 191 | #4027 | — | 3 | 2 | no | — |
| 192 | #4027 | — | 3 | 2 | no | — |
| 193 | D5×C22⋊C4 | — | 3 | 2 | no | — |
| 194 | D5×C22⋊C4 | — | 3 | 2 | no | — |
| 195 | #4024 | — | 3 | 2 | no | — |
| 196 | #4024 | — | 3 | 2 | no | — |
| 197 | C4×D20 | — | 3 | 2 | no | — |
| 198 | C4×D20 | — | 3 | 2 | no | — |
| 199 | #4018 | — | 3 | 2 | no | — |
| 200 | C42×D5 | — | 3 | 2 | no | — |
| 201 | D4×#41 | — | 15 | 1 | no | Sylow |
| 202 | C22×D15 | — | 4 | 1 | no | — |
| 203 | C2×C5×A4 | — | 2 | 1 | no | — |
| 204 | C2×C5×A4 | C24 | 1 | 1 | yes | characteristic |
| 205 | C2×D3×D5 | — | 4 | 2 | no | — |
| 206 | D5×A4 | — | 2 | 2 | no | — |
| 207 | C5⋊S4 | — | 2 | 1 | no | — |
| 208 | C5⋊S4 | #41 | 1 | 2 | yes | complemented |
| 209 | C5×S4 | — | 2 | 2 | no | — |
| 210 | C2×C3×C4×C5 | — | 4 | 1 | no | — |
| 211 | C2×Dic15 | — | 4 | 1 | no | — |
| 212 | C4×D15 | — | 4 | 1 | no | — |
| 213 | C4×D15 | — | 4 | 1 | no | — |
| 214 | C4×D15 | — | 4 | 1 | no | — |
| 215 | C4×D15 | — | 4 | 1 | no | — |
| 216 | C5×#67 | — | 4 | 2 | no | — |
| 217 | C5×D12 | — | 4 | 1 | no | — |
| 218 | C4×C5×D3 | — | 4 | 2 | no | — |
| 219 | C5×Dic6 | — | 4 | 1 | no | — |
| 220 | C3×C22⋊D5 | — | 4 | 2 | no | — |
| 221 | C3×D20 | — | 4 | 1 | no | — |
| 222 | C3×C4×D5 | — | 4 | 2 | no | — |
| 223 | C3×Dic10 | — | 4 | 1 | no | — |
| 224 | #1204 | — | 4 | 2 | no | — |
| 225 | #1203 | — | 4 | 2 | no | — |
| 226 | #1202 | — | 4 | 2 | no | — |
| 227 | #1201 | — | 4 | 2 | no | — |
| 228 | #1200 | — | 4 | 2 | no | — |
| 229 | D3×Dic5 | — | 4 | 2 | no | — |
| 230 | D5×Dic3 | — | 4 | 2 | no | — |
| 231 | C22×S4 | — | 5 | 1 | no | — |
| 232 | C22×S4 | — | 5 | 2 | no | — |
| 233 | D3×#41 | — | 20 | 1 | no | — |
| 234 | Q8×A4 | — | 5 | 1 | no | — |
| 235 | D4×A4 | — | 5 | 2 | no | — |
| 236 | D4×A4 | — | 5 | 1 | no | — |
| 237 | C2×C4×A4 | — | 5 | 2 | no | — |
| 238 | C2×C4×A4 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 239 | GL(2,ℤ/4) | — | 5 | 2 | no | — |
| 240 | GL(2,ℤ/4) | — | 5 | 2 | no | — |
| 241 | GL(2,ℤ/4) | C2×D5 | 1 | 2 | yes | complemented |
| 242 | C2×SL(2,ℤ/4) | — | 5 | 1 | no | — |
| 243 | C2×SL(2,ℤ/4) | — | 5 | 2 | no | — |
| 244 | C4⋊S4 | — | 5 | 2 | no | — |
| 245 | C4⋊S4 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 246 | C4×S4 | — | 5 | 2 | no | — |
| 247 | C4×S4 | — | 5 | 1 | no | — |
| 248 | C4×S4 | — | 5 | 1 | no | — |
| 249 | C4×S4 | — | 5 | 1 | no | — |
| 250 | C4×S4 | — | 5 | 1 | no | — |
| 251 | C4×S4 | — | 5 | 2 | no | — |
| 252 | C4×S4 | C2×D5 | 1 | 2 | yes | complemented |
| 253 | A4⋊Q8 | — | 5 | 2 | no | — |
| 254 | A4⋊Q8 | C2×D5 | 1 | 1 | yes | characteristic, complemented |
| 255 | C24×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 256 | C23×D5 | — | 3 | 2 | no | — |
| 257 | C23×D5 | — | 3 | 1 | no | — |
| 258 | C23×D5 | C22×D3 | 1 | 2 | yes | — |
| 259 | C5×#41 | — | 6 | 1 | no | — |
| 260 | C5×#41 | — | 6 | 1 | no | — |
| 261 | C5×#41 | — | 6 | 1 | no | — |
| 262 | C5×#41 | — | 6 | 1 | no | — |
| 263 | C2×C5×Q8 | — | 3 | 1 | no | — |
| 264 | C2×C5×D4 | — | 3 | 2 | no | — |
| 265 | C2×C5×D4 | — | 3 | 1 | no | — |
| 266 | C2×C5×D4 | — | 3 | 2 | no | — |
| 267 | C2×C5×D4 | — | 3 | 2 | no | — |
| 268 | C22×C4×C5 | — | 3 | 1 | no | — |
| 269 | C22×C4×C5 | — | 3 | 1 | no | — |
| 270 | C22×C4×C5 | — | 3 | 1 | no | — |
| 271 | C22×C4×C5 | — | 3 | 1 | no | — |
| 272 | C22×C4×C5 | — | 3 | 2 | no | — |
| 273 | C22×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 274 | C22×C4×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 275 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 276 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 277 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 278 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 279 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 280 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 281 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 282 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 283 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 284 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 285 | C2×C22⋊D5 | — | 3 | 1 | no | — |
| 286 | C2×C22⋊D5 | — | 3 | 2 | no | — |
| 287 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 288 | C2×C22⋊D5 | — | 6 | 2 | no | — |
| 289 | C22×Dic5 | — | 3 | 1 | no | — |
| 290 | C22×Dic5 | — | 3 | 2 | no | — |
| 291 | C22×Dic5 | — | 3 | 1 | no | — |
| 292 | C22×Dic5 | — | 3 | 1 | no | — |
| 293 | C22×Dic5 | C22×D3 | 1 | 2 | yes | — |
| 294 | #713 | — | 6 | 2 | no | — |
| 295 | #713 | — | 6 | 1 | no | — |
| 296 | #713 | — | 6 | 1 | no | — |
| 297 | Q8×D5 | — | 6 | 1 | no | — |
| 298 | Q8×D5 | — | 6 | 2 | no | — |
| 299 | Q8×D5 | — | 6 | 1 | no | — |
| 300 | #711 | — | 6 | 1 | no | — |
| 301 | #711 | — | 6 | 2 | no | — |
| 302 | #711 | — | 6 | 2 | no | — |
| 303 | #711 | — | 6 | 2 | no | — |
| 304 | #711 | — | 6 | 2 | no | — |
| 305 | #711 | — | 6 | 2 | no | — |
| 306 | #711 | — | 6 | 1 | no | — |
| 307 | D4×D5 | — | 6 | 2 | no | — |
| 308 | D4×D5 | — | 6 | 1 | no | — |
| 309 | D4×D5 | — | 6 | 4 | no | — |
| 310 | D4×D5 | — | 6 | 4 | no | — |
| 311 | D4×D5 | — | 6 | 2 | no | — |
| 312 | D4×D5 | — | 6 | 2 | no | — |
| 313 | D4×D5 | — | 6 | 2 | no | — |
| 314 | D4×D5 | — | 6 | 2 | no | — |
| 315 | D4×D5 | — | 6 | 1 | no | — |
| 316 | #709 | — | 3 | 1 | no | — |
| 317 | #709 | — | 3 | 2 | no | — |
| 318 | #709 | — | 3 | 1 | no | — |
| 319 | #709 | — | 3 | 2 | no | — |
| 320 | #709 | — | 3 | 1 | no | — |
| 321 | #709 | — | 6 | 2 | no | — |
| 322 | #709 | — | 6 | 1 | no | — |
| 323 | #709 | — | 6 | 1 | no | — |
| 324 | #709 | — | 6 | 2 | no | — |
| 325 | #709 | — | 6 | 2 | no | — |
| 326 | #709 | — | 6 | 2 | no | — |
| 327 | #709 | — | 6 | 2 | no | — |
| 328 | #709 | — | 6 | 1 | no | — |
| 329 | #709 | — | 6 | 2 | no | — |
| 330 | #709 | S4 | 1 | 1 | yes | characteristic, complemented |
| 331 | C2×D20 | — | 3 | 1 | no | — |
| 332 | C2×D20 | — | 3 | 2 | no | — |
| 333 | C2×D20 | — | 3 | 1 | no | — |
| 334 | C2×D20 | — | 3 | 2 | no | — |
| 335 | C2×D20 | — | 3 | 2 | no | — |
| 336 | C2×D20 | — | 3 | 2 | no | — |
| 337 | C2×C4×D5 | — | 3 | 2 | no | — |
| 338 | C2×C4×D5 | — | 3 | 2 | no | — |
| 339 | C2×C4×D5 | — | 3 | 2 | no | — |
| 340 | C2×C4×D5 | — | 3 | 2 | no | — |
| 341 | C2×C4×D5 | — | 3 | 1 | no | — |
| 342 | C2×C4×D5 | — | 3 | 1 | no | — |
| 343 | C2×C4×D5 | — | 3 | 2 | no | — |
| 344 | C2×C4×D5 | — | 3 | 1 | no | — |
| 345 | C2×C4×D5 | — | 3 | 2 | no | — |
| 346 | C2×C4×D5 | — | 3 | 1 | no | — |
| 347 | C2×C4×D5 | — | 3 | 2 | no | — |
| 348 | C2×C4×D5 | — | 3 | 2 | no | — |
| 349 | C2×C4×D5 | — | 6 | 2 | no | — |
| 350 | C2×C4×D5 | — | 6 | 2 | no | — |
| 351 | C2×C4×D5 | — | 6 | 2 | no | — |
| 352 | C2×C4×D5 | — | 6 | 1 | no | — |
| 353 | C2×C4×D5 | — | 6 | 1 | no | — |
| 354 | C2×C4×D5 | — | 6 | 1 | no | — |
| 355 | C2×C4×D5 | — | 6 | 1 | no | — |
| 356 | C2×C4×D5 | — | 6 | 2 | no | — |
| 357 | C2×Dic10 | — | 3 | 1 | no | — |
| 358 | C2×Dic10 | — | 3 | 2 | no | — |
| 359 | C2×Dic10 | — | 3 | 1 | no | — |
| 360 | C2×Dic10 | — | 3 | 2 | no | — |
| 361 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 362 | C5×C4⋊C4 | — | 3 | 1 | no | — |
| 363 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 364 | C5×C4⋊C4 | — | 3 | 2 | no | — |
| 365 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 366 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 367 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 368 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 369 | C5×C22⋊C4 | — | 3 | 2 | no | — |
| 370 | C42×C5 | — | 3 | 2 | no | — |
| 371 | C22⋊Dic5 | — | 3 | 1 | no | — |
| 372 | C22⋊Dic5 | — | 3 | 1 | no | — |
| 373 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 374 | C22⋊Dic5 | — | 3 | 2 | no | — |
| 375 | C22⋊Dic5 | — | 3 | 1 | no | — |
| 376 | C22⋊Dic5 | — | 3 | 1 | no | — |
| 377 | #685 | — | 3 | 2 | no | — |
| 378 | #685 | — | 3 | 2 | no | — |
| 379 | #685 | — | 3 | 2 | no | — |
| 380 | #685 | — | 3 | 2 | no | — |
| 381 | #685 | — | 3 | 2 | no | — |
| 382 | #685 | — | 3 | 2 | no | — |
| 383 | #685 | — | 3 | 1 | no | — |
| 384 | #685 | — | 3 | 2 | no | — |
| 385 | #685 | — | 3 | 1 | no | — |
| 386 | #685 | — | 3 | 2 | no | — |
| 387 | #685 | — | 3 | 1 | no | — |
| 388 | #685 | — | 3 | 1 | no | — |
| 389 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 390 | C4⋊Dic5 | — | 3 | 2 | no | — |
| 391 | #683 | — | 3 | 2 | no | — |
| 392 | #683 | — | 3 | 2 | no | — |
| 393 | #683 | — | 3 | 1 | no | — |
| 394 | #683 | — | 3 | 2 | no | — |
| 395 | #683 | — | 3 | 1 | no | — |
| 396 | #683 | — | 3 | 2 | no | — |
| 397 | #683 | — | 3 | 1 | no | — |
| 398 | #683 | — | 3 | 1 | no | — |
| 399 | C4×Dic5 | — | 3 | 1 | no | — |
| 400 | C4×Dic5 | — | 3 | 2 | no | — |
| 401 | C4×Dic5 | — | 3 | 2 | no | — |
| 402 | C4×Dic5 | — | 3 | 1 | no | — |
| 403 | C4×Dic5 | — | 3 | 1 | no | — |
| 404 | C4×Dic5 | — | 3 | 1 | no | — |
| 405 | C22×#41 | — | 5 | 1 | no | — |
| 406 | C22×#41 | — | 15 | 1 | no | — |
| 407 | #550 | — | 15 | 1 | no | — |
| 408 | D4×Q8 | — | 15 | 1 | no | — |
| 409 | #548 | — | 15 | 1 | no | — |
| 410 | #548 | — | 15 | 1 | no | — |
| 411 | #547 | — | 15 | 1 | no | — |
| 412 | #547 | — | 15 | 2 | no | — |
| 413 | #546 | — | 15 | 2 | no | — |
| 414 | #546 | — | 15 | 1 | no | — |
| 415 | #546 | — | 15 | 1 | no | — |
| 416 | #546 | — | 15 | 2 | no | — |
| 417 | D42 | — | 15 | 2 | no | — |
| 418 | D42 | — | 15 | 1 | no | — |
| 419 | #532 | — | 15 | 2 | no | — |
| 420 | #532 | — | 15 | 1 | no | — |
| 421 | #525 | — | 3 | 1 | no | — |
| 422 | #525 | — | 15 | 1 | no | — |
| 423 | #525 | — | 15 | 2 | no | — |
| 424 | #525 | — | 15 | 2 | no | — |
| 425 | C4×#41 | — | 15 | 1 | no | — |
| 426 | C2×C4×D4 | — | 15 | 2 | no | — |
| 427 | C2×C4×D4 | — | 15 | 1 | no | — |
| 428 | C22×C3×C5 | — | 4 | 1 | no | — |
| 429 | C2×D15 | — | 4 | 1 | no | — |
| 430 | C2×D15 | — | 4 | 1 | no | — |
| 431 | C2×D15 | — | 8 | 2 | no | — |
| 432 | C2×C5×D3 | — | 4 | 2 | no | — |
| 433 | C2×C3×D5 | — | 4 | 2 | no | — |
| 434 | C5×A4 | C2×#41 | 1 | 1 | yes | characteristic, complemented |
| 435 | D3×D5 | — | 8 | 4 | no | — |
| 436 | C3×C4×C5 | — | 4 | 1 | no | — |
| 437 | C3×C4×C5 | — | 4 | 1 | no | — |
| 438 | Dic15 | — | 4 | 1 | no | — |
| 439 | Dic15 | — | 4 | 1 | no | — |
| 440 | C3×Dic5 | — | 4 | 2 | no | — |
| 441 | C5×Dic3 | — | 4 | 2 | no | — |
| 442 | C22×A4 | — | 5 | 2 | no | — |
| 443 | C22×A4 | C22×D5 | 1 | 1 | yes | characteristic |
| 444 | C2×S4 | — | 5 | 1 | no | — |
| 445 | C2×S4 | — | 5 | 1 | no | — |
| 446 | C2×S4 | — | 10 | 4 | no | — |
| 447 | C2×S4 | — | 10 | 2 | no | — |
| 448 | C2×S4 | C22×D5 | 1 | 2 | yes | — |
| 449 | C3×#41 | — | 20 | 1 | no | — |
| 450 | #239 | — | 20 | 1 | no | — |
| 451 | D3×Q8 | — | 20 | 1 | no | — |
| 452 | #237 | — | 20 | 1 | no | — |
| 453 | #237 | — | 20 | 2 | no | — |
| 454 | D3×D4 | — | 20 | 1 | no | — |
| 455 | D3×D4 | — | 20 | 2 | no | — |
| 456 | #235 | — | 4 | 1 | no | — |
| 457 | #235 | — | 20 | 2 | no | — |
| 458 | C2×C4×D3 | — | 20 | 2 | no | — |
| 459 | C2×C4×D3 | — | 20 | 1 | no | — |
| 460 | C4×A4 | — | 5 | 2 | no | — |
| 461 | C4×A4 | C22×D5 | 1 | 1 | yes | characteristic |
| 462 | C4×A4 | C22×D5 | 1 | 1 | yes | characteristic |
| 463 | SL(2,ℤ/4) | — | 5 | 1 | no | — |
| 464 | SL(2,ℤ/4) | — | 5 | 1 | no | — |
| 465 | SL(2,ℤ/4) | C22×D5 | 1 | 2 | yes | — |
| 466 | C23×C5 | — | 2 | 1 | no | — |
| 467 | C23×C5 | — | 3 | 1 | no | — |
| 468 | C23×C5 | — | 3 | 1 | no | — |
| 469 | C23×C5 | — | 3 | 2 | no | — |
| 470 | C23×C5 | — | 6 | 1 | no | — |
| 471 | C23×C5 | C23×D3 | 1 | 1 | yes | characteristic |
| 472 | C22×D5 | — | 2 | 2 | no | — |
| 473 | C22×D5 | — | 3 | 1 | no | — |
| 474 | C22×D5 | — | 3 | 2 | no | — |
| 475 | C22×D5 | — | 3 | 2 | no | — |
| 476 | C22×D5 | — | 3 | 1 | no | — |
| 477 | C22×D5 | — | 6 | 2 | no | — |
| 478 | C22×D5 | — | 6 | 4 | no | — |
| 479 | C22×D5 | — | 6 | 2 | no | — |
| 480 | C22×D5 | — | 6 | 2 | no | — |
| 481 | C22×D5 | — | 6 | 1 | no | — |
| 482 | C22×D5 | — | 6 | 1 | no | — |
| 483 | C22×D5 | — | 6 | 2 | no | — |
| 484 | C22×D5 | — | 12 | 2 | no | — |
| 485 | C22×D5 | — | 12 | 1 | no | — |
| 486 | C5×Q8 | — | 6 | 1 | no | — |
| 487 | C5×Q8 | — | 6 | 1 | no | — |
| 488 | C5×D4 | — | 6 | 1 | no | — |
| 489 | C5×D4 | — | 6 | 2 | no | — |
| 490 | C5×D4 | — | 6 | 2 | no | — |
| 491 | C5×D4 | — | 6 | 2 | no | — |
| 492 | C5×D4 | — | 6 | 2 | no | — |
| 493 | C5×D4 | — | 6 | 1 | no | — |
| 494 | C5×D4 | — | 12 | 2 | no | — |
| 495 | C2×C4×C5 | — | 3 | 1 | no | — |
| 496 | C2×C4×C5 | — | 3 | 1 | no | — |
| 497 | C2×C4×C5 | — | 3 | 1 | no | — |
| 498 | C2×C4×C5 | — | 3 | 1 | no | — |
| 499 | C2×C4×C5 | — | 3 | 1 | no | — |
| 500 | C2×C4×C5 | — | 3 | 1 | no | — |
| 501 | C2×C4×C5 | — | 3 | 1 | no | — |
| 502 | C2×C4×C5 | — | 3 | 2 | no | — |
| 503 | C2×C4×C5 | — | 3 | 2 | no | — |
| 504 | C2×C4×C5 | — | 3 | 2 | no | — |
| 505 | C2×C4×C5 | — | 6 | 1 | no | — |
| 506 | C2×C4×C5 | — | 6 | 2 | no | — |
| 507 | C2×C4×C5 | — | 6 | 2 | no | — |
| 508 | C2×C4×C5 | C2×S4 | 1 | 1 | yes | characteristic, complemented |
| 509 | C22⋊D5 | — | 3 | 2 | no | — |
| 510 | C22⋊D5 | — | 3 | 2 | no | — |
| 511 | C22⋊D5 | — | 3 | 2 | no | — |
| 512 | C22⋊D5 | — | 3 | 2 | no | — |
| 513 | C22⋊D5 | — | 3 | 2 | no | — |
| 514 | C22⋊D5 | — | 6 | 2 | no | — |
| 515 | C22⋊D5 | — | 6 | 2 | no | — |
| 516 | C22⋊D5 | — | 6 | 4 | no | — |
| 517 | C22⋊D5 | — | 6 | 2 | no | — |
| 518 | C22⋊D5 | — | 6 | 2 | no | — |
| 519 | C22⋊D5 | — | 6 | 2 | no | — |
| 520 | C22⋊D5 | — | 6 | 1 | no | — |
| 521 | C22⋊D5 | — | 6 | 1 | no | — |
| 522 | C22⋊D5 | — | 6 | 2 | no | — |
| 523 | C22⋊D5 | — | 6 | 2 | no | — |
| 524 | C22⋊D5 | — | 12 | 2 | no | — |
| 525 | C22⋊D5 | C2×S4 | 1 | 2 | yes | complemented |
| 526 | C2×Dic5 | — | 3 | 1 | no | — |
| 527 | C2×Dic5 | — | 3 | 2 | no | — |
| 528 | C2×Dic5 | — | 3 | 2 | no | — |
| 529 | C2×Dic5 | — | 3 | 1 | no | — |
| 530 | C2×Dic5 | — | 3 | 1 | no | — |
| 531 | C2×Dic5 | — | 3 | 1 | no | — |
| 532 | C2×Dic5 | — | 3 | 1 | no | — |
| 533 | C2×Dic5 | — | 3 | 1 | no | — |
| 534 | C2×Dic5 | — | 6 | 2 | no | — |
| 535 | C2×Dic5 | — | 6 | 2 | no | — |
| 536 | C2×Dic5 | — | 6 | 1 | no | — |
| 537 | C2×Dic5 | — | 6 | 1 | no | — |
| 538 | C2×Dic5 | — | 6 | 2 | no | — |
| 539 | C2×Dic5 | — | 12 | 1 | no | — |
| 540 | D20 | — | 3 | 2 | no | — |
| 541 | D20 | — | 3 | 1 | no | — |
| 542 | D20 | — | 6 | 1 | no | — |
| 543 | D20 | — | 6 | 2 | no | — |
| 544 | D20 | — | 6 | 4 | no | — |
| 545 | D20 | — | 6 | 2 | no | — |
| 546 | D20 | — | 12 | 2 | no | — |
| 547 | D20 | C2×S4 | 1 | 1 | yes | characteristic, complemented |
| 548 | C4×D5 | — | 3 | 2 | no | — |
| 549 | C4×D5 | — | 3 | 2 | no | — |
| 550 | C4×D5 | — | 3 | 2 | no | — |
| 551 | C4×D5 | — | 6 | 2 | no | — |
| 552 | C4×D5 | — | 6 | 2 | no | — |
| 553 | C4×D5 | — | 6 | 4 | no | — |
| 554 | C4×D5 | — | 6 | 1 | no | — |
| 555 | C4×D5 | — | 6 | 1 | no | — |
| 556 | C4×D5 | — | 6 | 1 | no | — |
| 557 | C4×D5 | — | 6 | 1 | no | — |
| 558 | C4×D5 | — | 6 | 2 | no | — |
| 559 | C4×D5 | — | 6 | 2 | no | — |
| 560 | C4×D5 | — | 6 | 1 | no | — |
| 561 | C4×D5 | — | 6 | 1 | no | — |
| 562 | C4×D5 | — | 6 | 1 | no | — |
| 563 | C4×D5 | — | 6 | 1 | no | — |
| 564 | C4×D5 | — | 6 | 2 | no | — |
| 565 | C4×D5 | — | 12 | 2 | no | — |
| 566 | C4×D5 | C2×S4 | 1 | 2 | yes | complemented |
| 567 | Dic10 | — | 3 | 1 | no | — |
| 568 | Dic10 | — | 3 | 2 | no | — |
| 569 | Dic10 | — | 6 | 1 | no | — |
| 570 | Dic10 | — | 6 | 2 | no | — |
| 571 | Dic10 | — | 6 | 2 | no | — |
| 572 | Dic10 | C2×S4 | 1 | 1 | yes | characteristic, complemented |
| 573 | C2×#41 | — | 3 | 1 | no | — |
| 574 | C2×#41 | — | 15 | 1 | no | — |
| 575 | C2×#41 | — | 15 | 1 | no | — |
| 576 | C2×#41 | — | 15 | 2 | no | — |
| 577 | C2×#41 | — | 15 | 2 | no | — |
| 578 | C2×#41 | — | 15 | 1 | no | — |
| 579 | C2×#41 | — | 15 | 1 | no | — |
| 580 | C2×#41 | — | 15 | 2 | no | — |
| 581 | C2×#41 | — | 15 | 2 | no | — |
| 582 | C2×#41 | — | 15 | 1 | no | — |
| 583 | C2×#41 | — | 15 | 1 | no | — |
| 584 | C2×#41 | — | 30 | 1 | no | — |
| 585 | C2×#41 | — | 30 | 2 | no | — |
| 586 | C2×#41 | — | 30 | 2 | no | — |
| 587 | C2×#41 | — | 30 | 1 | no | — |
| 588 | C2×#41 | — | 30 | 1 | no | — |
| 589 | C2×#41 | — | 30 | 1 | no | — |
| 590 | C22×Q8 | — | 5 | 1 | no | — |
| 591 | C22×Q8 | — | 15 | 1 | no | — |
| 592 | C22×D4 | — | 5 | 2 | no | — |
| 593 | C22×D4 | — | 5 | 1 | no | — |
| 594 | C22×D4 | — | 15 | 2 | no | — |
| 595 | C22×D4 | — | 15 | 2 | no | — |
| 596 | C22×D4 | — | 15 | 1 | no | — |
| 597 | C22×D4 | — | 15 | 1 | no | — |
| 598 | C23×C4 | — | 5 | 2 | no | — |
| 599 | C23×C4 | — | 15 | 1 | no | — |
| 600 | C23×C4 | — | 15 | 2 | no | — |
| 601 | C23×C4 | D3×D5 | 1 | 1 | yes | characteristic, complemented |
| 602 | C4⋊Q8 | — | 15 | 2 | no | — |
| 603 | C4⋊Q8 | — | 15 | 1 | no | — |
| 604 | #127 | — | 15 | 1 | no | — |
| 605 | #127 | — | 15 | 2 | no | — |
| 606 | #124 | — | 15 | 2 | no | — |
| 607 | #124 | — | 15 | 2 | no | — |
| 608 | #124 | — | 15 | 1 | no | — |
| 609 | #124 | — | 15 | 1 | no | — |
| 610 | #123 | — | 3 | 2 | no | — |
| 611 | #123 | — | 15 | 2 | no | — |
| 612 | #123 | — | 15 | 2 | no | — |
| 613 | #123 | — | 15 | 2 | no | — |
| 614 | #123 | — | 15 | 2 | no | — |
| 615 | #123 | — | 15 | 2 | no | — |
| 616 | C22⋊Q8 | — | 3 | 1 | no | — |
| 617 | C22⋊Q8 | — | 3 | 1 | no | — |
| 618 | C22⋊Q8 | — | 15 | 2 | no | — |
| 619 | C22⋊Q8 | — | 15 | 2 | no | — |
| 620 | C22⋊Q8 | — | 15 | 2 | no | — |
| 621 | C22⋊Q8 | — | 15 | 1 | no | — |
| 622 | C22⋊Q8 | — | 15 | 2 | no | — |
| 623 | C22⋊Q8 | — | 15 | 1 | no | — |
| 624 | #121 | — | 3 | 1 | no | — |
| 625 | #121 | — | 3 | 1 | no | — |
| 626 | #121 | — | 15 | 2 | no | — |
| 627 | #121 | — | 15 | 2 | no | — |
| 628 | #121 | — | 15 | 2 | no | — |
| 629 | #121 | — | 15 | 2 | no | — |
| 630 | #121 | — | 15 | 1 | no | — |
| 631 | #121 | — | 15 | 1 | no | — |
| 632 | #121 | — | 15 | 2 | no | — |
| 633 | #121 | — | 15 | 2 | no | — |
| 634 | #121 | — | 15 | 2 | no | — |
| 635 | #121 | — | 15 | 2 | no | — |
| 636 | #121 | — | 15 | 2 | no | — |
| 637 | #121 | — | 15 | 2 | no | — |
| 638 | #120 | — | 3 | 2 | no | — |
| 639 | #120 | — | 15 | 2 | no | — |
| 640 | #120 | — | 15 | 2 | no | — |
| 641 | #120 | — | 15 | 2 | no | — |
| 642 | #120 | — | 15 | 2 | no | — |
| 643 | #120 | — | 15 | 2 | no | — |
| 644 | C4×Q8 | — | 15 | 1 | no | — |
| 645 | C4×Q8 | — | 15 | 1 | no | — |
| 646 | C4×D4 | — | 3 | 2 | no | — |
| 647 | C4×D4 | — | 3 | 2 | no | — |
| 648 | C4×D4 | — | 15 | 2 | no | — |
| 649 | C4×D4 | — | 15 | 2 | no | — |
| 650 | C4×D4 | — | 15 | 2 | no | — |
| 651 | C4×D4 | — | 15 | 2 | no | — |
| 652 | C4×D4 | — | 15 | 2 | no | — |
| 653 | C4×D4 | — | 15 | 2 | no | — |
| 654 | C4×D4 | — | 15 | 2 | no | — |
| 655 | C4×D4 | — | 15 | 1 | no | — |
| 656 | C4×D4 | — | 15 | 1 | no | — |
| 657 | C4×D4 | — | 15 | 1 | no | — |
| 658 | C4×D4 | — | 15 | 1 | no | — |
| 659 | C4×D4 | — | 15 | 2 | no | — |
| 660 | C4×D4 | — | 15 | 1 | no | — |
| 661 | C4×D4 | — | 15 | 1 | no | — |
| 662 | C4×D4 | — | 15 | 2 | no | — |
| 663 | C4×D4 | — | 15 | 2 | no | — |
| 664 | C4×D4 | — | 15 | 1 | no | — |
| 665 | C4×D4 | — | 15 | 1 | no | — |
| 666 | C4×D4 | — | 15 | 1 | no | — |
| 667 | C4×D4 | — | 15 | 1 | no | — |
| 668 | #117 | — | 3 | 1 | no | — |
| 669 | #117 | — | 15 | 2 | no | — |
| 670 | C2×C4⋊C4 | — | 15 | 2 | no | — |
| 671 | C2×C4⋊C4 | — | 15 | 1 | no | — |
| 672 | C2×C22⋊C4 | — | 15 | 2 | no | — |
| 673 | C2×C22⋊C4 | — | 15 | 2 | no | — |
| 674 | C2×C22⋊C4 | — | 15 | 1 | no | — |
| 675 | C2×C22⋊C4 | — | 15 | 1 | no | — |
| 676 | C2×C42 | — | 15 | 2 | no | — |
| 677 | C2×C42 | — | 15 | 1 | no | — |
| 678 | C2×C3×C5 | — | 4 | 1 | no | — |
| 679 | C2×C3×C5 | — | 8 | 1 | no | — |
| 680 | D15 | — | 4 | 2 | no | — |
| 681 | D15 | — | 8 | 1 | no | — |
| 682 | C3×D5 | — | 8 | 2 | no | — |
| 683 | C5×D3 | — | 8 | 2 | no | — |
| 684 | C22×D3 | — | 20 | 2 | no | — |
| 685 | C22×D3 | — | 20 | 1 | no | — |
| 686 | C2×A4 | — | 2 | 1 | no | — |
| 687 | C2×A4 | — | 10 | 2 | no | — |
| 688 | C2×A4 | C23×D5 | 1 | 1 | yes | characteristic |
| 689 | S4 | — | 2 | 2 | no | — |
| 690 | S4 | — | 5 | 2 | no | — |
| 691 | S4 | — | 10 | 1 | no | — |
| 692 | C3×Q8 | — | 20 | 1 | no | — |
| 693 | C3×D4 | — | 20 | 1 | no | — |
| 694 | C3×D4 | — | 20 | 2 | no | — |
| 695 | C2×C3×C4 | — | 4 | 1 | no | — |
| 696 | C2×C3×C4 | — | 20 | 2 | no | — |
| 697 | #67 | — | 4 | 2 | no | — |
| 698 | #67 | — | 20 | 2 | no | — |
| 699 | #67 | — | 20 | 2 | no | — |
| 700 | C2×Dic3 | — | 20 | 2 | no | — |
| 701 | C2×Dic3 | — | 20 | 1 | no | — |
| 702 | D12 | — | 4 | 1 | no | — |
| 703 | D12 | — | 20 | 2 | no | — |
| 704 | C4×D3 | — | 4 | 2 | no | — |
| 705 | C4×D3 | — | 20 | 2 | no | — |
| 706 | C4×D3 | — | 20 | 1 | no | — |
| 707 | C4×D3 | — | 20 | 1 | no | — |
| 708 | C4×D3 | — | 20 | 1 | no | — |
| 709 | C4×D3 | — | 20 | 1 | no | — |
| 710 | C4×D3 | — | 20 | 2 | no | — |
| 711 | Dic6 | — | 4 | 1 | no | — |
| 712 | Dic6 | — | 20 | 2 | no | — |
| 713 | C22×C5 | — | 3 | 1 | no | — |
| 714 | C22×C5 | — | 3 | 1 | no | — |
| 715 | C22×C5 | — | 3 | 1 | no | — |
| 716 | C22×C5 | — | 6 | 1 | no | — |
| 717 | C22×C5 | — | 6 | 1 | no | — |
| 718 | C22×C5 | — | 6 | 1 | no | — |
| 719 | C22×C5 | — | 6 | 1 | no | — |
| 720 | C22×C5 | — | 6 | 2 | no | — |
| 721 | C22×C5 | — | 6 | 2 | no | — |
| 722 | C22×C5 | — | 6 | 2 | no | — |
| 723 | C22×C5 | D3×#41 | 1 | 1 | yes | characteristic, complemented |
| 724 | C22×C5 | C22×S4 | 1 | 1 | yes | characteristic |
| 725 | C2×D5 | — | 3 | 2 | no | — |
| 726 | C2×D5 | — | 3 | 2 | no | — |
| 727 | C2×D5 | — | 6 | 2 | no | — |
| 728 | C2×D5 | — | 6 | 2 | no | — |
| 729 | C2×D5 | — | 6 | 1 | no | — |
| 730 | C2×D5 | — | 6 | 1 | no | — |
| 731 | C2×D5 | — | 6 | 2 | no | — |
| 732 | C2×D5 | — | 6 | 2 | no | — |
| 733 | C2×D5 | — | 6 | 1 | no | — |
| 734 | C2×D5 | — | 6 | 1 | no | — |
| 735 | C2×D5 | — | 6 | 1 | no | — |
| 736 | C2×D5 | — | 12 | 4 | no | — |
| 737 | C2×D5 | — | 12 | 4 | no | — |
| 738 | C2×D5 | — | 12 | 2 | no | — |
| 739 | C2×D5 | — | 12 | 2 | no | — |
| 740 | C2×D5 | C22×S4 | 1 | 2 | yes | — |
| 741 | C4×C5 | — | 3 | 1 | no | — |
| 742 | C4×C5 | — | 3 | 1 | no | — |
| 743 | C4×C5 | — | 6 | 2 | no | — |
| 744 | C4×C5 | — | 6 | 2 | no | — |
| 745 | C4×C5 | — | 6 | 2 | no | — |
| 746 | C4×C5 | C22×S4 | 1 | 1 | yes | characteristic |
| 747 | C4×C5 | C22×S4 | 1 | 1 | yes | characteristic |
| 748 | Dic5 | — | 3 | 2 | no | — |
| 749 | Dic5 | — | 3 | 2 | no | — |
| 750 | Dic5 | — | 6 | 1 | no | — |
| 751 | Dic5 | — | 6 | 1 | no | — |
| 752 | Dic5 | — | 6 | 1 | no | — |
| 753 | Dic5 | — | 6 | 1 | no | — |
| 754 | Dic5 | — | 6 | 1 | no | — |
| 755 | Dic5 | C22×S4 | 1 | 2 | yes | — |
| 756 | C24 | — | 5 | 2 | no | — |
| 757 | C24 | — | 15 | 1 | no | — |
| 758 | C24 | — | 15 | 2 | no | — |
| 759 | C24 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 760 | #41 | — | 5 | 1 | no | — |
| 761 | #41 | — | 6 | 1 | no | — |
| 762 | #41 | — | 6 | 1 | no | — |
| 763 | #41 | — | 6 | 1 | no | — |
| 764 | #41 | — | 6 | 1 | no | — |
| 765 | #41 | — | 15 | 2 | no | — |
| 766 | #41 | — | 15 | 2 | no | — |
| 767 | #41 | — | 15 | 1 | no | — |
| 768 | #41 | — | 15 | 1 | no | — |
| 769 | #41 | — | 15 | 1 | no | — |
| 770 | #41 | — | 30 | 1 | no | — |
| 771 | #41 | — | 30 | 1 | no | — |
| 772 | #41 | — | 30 | 1 | no | — |
| 773 | #41 | — | 30 | 2 | no | — |
| 774 | #41 | — | 30 | 2 | no | — |
| 775 | #41 | — | 30 | 2 | no | — |
| 776 | #41 | — | 30 | 2 | no | — |
| 777 | #41 | — | 30 | 2 | no | — |
| 778 | #41 | — | 30 | 2 | no | — |
| 779 | #41 | — | 30 | 2 | no | — |
| 780 | #41 | — | 30 | 1 | no | — |
| 781 | #41 | — | 30 | 2 | no | — |
| 782 | #41 | — | 30 | 2 | no | — |
| 783 | #41 | — | 30 | 2 | no | — |
| 784 | #41 | — | 30 | 1 | no | — |
| 785 | #41 | — | 30 | 2 | no | — |
| 786 | #41 | — | 30 | 1 | no | — |
| 787 | #41 | — | 30 | 2 | no | — |
| 788 | #41 | — | 30 | 1 | no | — |
| 789 | C2×Q8 | — | 3 | 1 | no | — |
| 790 | C2×Q8 | — | 15 | 1 | no | — |
| 791 | C2×Q8 | — | 15 | 1 | no | — |
| 792 | C2×Q8 | — | 15 | 2 | no | — |
| 793 | C2×Q8 | — | 15 | 2 | no | — |
| 794 | C2×Q8 | — | 30 | 1 | no | — |
| 795 | C2×Q8 | — | 30 | 2 | no | — |
| 796 | C2×Q8 | — | 30 | 1 | no | — |
| 797 | C2×D4 | — | 3 | 2 | no | — |
| 798 | C2×D4 | — | 3 | 1 | no | — |
| 799 | C2×D4 | — | 3 | 2 | no | — |
| 800 | C2×D4 | — | 3 | 2 | no | — |
| 801 | C2×D4 | — | 15 | 1 | no | — |
| 802 | C2×D4 | — | 15 | 2 | no | — |
| 803 | C2×D4 | — | 15 | 1 | no | — |
| 804 | C2×D4 | — | 15 | 2 | no | — |
| 805 | C2×D4 | — | 15 | 2 | no | — |
| 806 | C2×D4 | — | 15 | 2 | no | — |
| 807 | C2×D4 | — | 15 | 2 | no | — |
| 808 | C2×D4 | — | 15 | 1 | no | — |
| 809 | C2×D4 | — | 15 | 2 | no | — |
| 810 | C2×D4 | — | 15 | 2 | no | — |
| 811 | C2×D4 | — | 15 | 2 | no | — |
| 812 | C2×D4 | — | 15 | 1 | no | — |
| 813 | C2×D4 | — | 15 | 1 | no | — |
| 814 | C2×D4 | — | 15 | 2 | no | — |
| 815 | C2×D4 | — | 15 | 2 | no | — |
| 816 | C2×D4 | — | 15 | 2 | no | — |
| 817 | C2×D4 | — | 15 | 1 | no | — |
| 818 | C2×D4 | — | 15 | 2 | no | — |
| 819 | C2×D4 | — | 30 | 2 | no | — |
| 820 | C2×D4 | — | 30 | 1 | no | — |
| 821 | C2×D4 | — | 30 | 4 | no | — |
| 822 | C2×D4 | — | 30 | 2 | no | — |
| 823 | C2×D4 | — | 30 | 2 | no | — |
| 824 | C2×D4 | — | 30 | 2 | no | — |
| 825 | C2×D4 | — | 30 | 2 | no | — |
| 826 | C2×D4 | — | 30 | 1 | no | — |
| 827 | C2×D4 | — | 30 | 4 | no | — |
| 828 | C2×D4 | — | 30 | 2 | no | — |
| 829 | C2×D4 | — | 30 | 2 | no | — |
| 830 | C22×C4 | — | 3 | 1 | no | — |
| 831 | C22×C4 | — | 3 | 1 | no | — |
| 832 | C22×C4 | — | 3 | 1 | no | — |
| 833 | C22×C4 | — | 3 | 1 | no | — |
| 834 | C22×C4 | — | 3 | 2 | no | — |
| 835 | C22×C4 | — | 5 | 2 | no | — |
| 836 | C22×C4 | — | 15 | 2 | no | — |
| 837 | C22×C4 | — | 15 | 2 | no | — |
| 838 | C22×C4 | — | 15 | 2 | no | — |
| 839 | C22×C4 | — | 15 | 2 | no | — |
| 840 | C22×C4 | — | 15 | 2 | no | — |
| 841 | C22×C4 | — | 15 | 2 | no | — |
| 842 | C22×C4 | — | 15 | 1 | no | — |
| 843 | C22×C4 | — | 15 | 1 | no | — |
| 844 | C22×C4 | — | 15 | 1 | no | — |
| 845 | C22×C4 | — | 15 | 2 | no | — |
| 846 | C22×C4 | — | 15 | 1 | no | — |
| 847 | C22×C4 | — | 15 | 2 | no | — |
| 848 | C22×C4 | — | 15 | 1 | no | — |
| 849 | C22×C4 | — | 15 | 1 | no | — |
| 850 | C22×C4 | — | 15 | 2 | no | — |
| 851 | C22×C4 | — | 15 | 1 | no | — |
| 852 | C22×C4 | — | 30 | 1 | no | — |
| 853 | C22×C4 | — | 30 | 1 | no | — |
| 854 | C22×C4 | — | 30 | 1 | no | — |
| 855 | C22×C4 | — | 30 | 2 | no | — |
| 856 | C22×C4 | — | 30 | 2 | no | — |
| 857 | C22×C4 | — | 30 | 2 | no | — |
| 858 | C22×C4 | — | 30 | 2 | no | — |
| 859 | C22×C4 | — | 30 | 1 | no | — |
| 860 | C22×C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 861 | C22×C4 | C2×D3×D5 | 1 | 1 | yes | characteristic |
| 862 | C4⋊C4 | — | 3 | 2 | no | — |
| 863 | C4⋊C4 | — | 3 | 1 | no | — |
| 864 | C4⋊C4 | — | 3 | 1 | no | — |
| 865 | C4⋊C4 | — | 3 | 2 | no | — |
| 866 | C4⋊C4 | — | 15 | 1 | no | — |
| 867 | C4⋊C4 | — | 15 | 1 | no | — |
| 868 | C4⋊C4 | — | 15 | 2 | no | — |
| 869 | C4⋊C4 | — | 15 | 1 | no | — |
| 870 | C4⋊C4 | — | 15 | 1 | no | — |
| 871 | C4⋊C4 | — | 15 | 2 | no | — |
| 872 | C4⋊C4 | — | 15 | 2 | no | — |
| 873 | C4⋊C4 | — | 15 | 2 | no | — |
| 874 | C4⋊C4 | — | 15 | 2 | no | — |
| 875 | C4⋊C4 | — | 15 | 2 | no | — |
| 876 | C22⋊C4 | — | 3 | 2 | no | — |
| 877 | C22⋊C4 | — | 3 | 2 | no | — |
| 878 | C22⋊C4 | — | 3 | 2 | no | — |
| 879 | C22⋊C4 | — | 3 | 2 | no | — |
| 880 | C22⋊C4 | — | 3 | 2 | no | — |
| 881 | C22⋊C4 | — | 15 | 1 | no | — |
| 882 | C22⋊C4 | — | 15 | 1 | no | — |
| 883 | C22⋊C4 | — | 15 | 2 | no | — |
| 884 | C22⋊C4 | — | 15 | 1 | no | — |
| 885 | C22⋊C4 | — | 15 | 2 | no | — |
| 886 | C22⋊C4 | — | 15 | 1 | no | — |
| 887 | C22⋊C4 | — | 15 | 2 | no | — |
| 888 | C22⋊C4 | — | 15 | 2 | no | — |
| 889 | C22⋊C4 | — | 15 | 2 | no | — |
| 890 | C22⋊C4 | — | 15 | 2 | no | — |
| 891 | C22⋊C4 | — | 15 | 2 | no | — |
| 892 | C22⋊C4 | — | 15 | 2 | no | — |
| 893 | C22⋊C4 | — | 15 | 1 | no | — |
| 894 | C22⋊C4 | — | 15 | 2 | no | — |
| 895 | C22⋊C4 | — | 15 | 1 | no | — |
| 896 | C22⋊C4 | — | 15 | 2 | no | — |
| 897 | C22⋊C4 | — | 15 | 1 | no | — |
| 898 | C22⋊C4 | — | 15 | 1 | no | — |
| 899 | C42 | — | 3 | 2 | no | — |
| 900 | C42 | — | 15 | 1 | no | — |
| 901 | C42 | — | 15 | 1 | no | — |
| 902 | C42 | — | 15 | 1 | no | — |
| 903 | C42 | — | 15 | 2 | no | — |
| 904 | C42 | — | 15 | 1 | no | — |
| 905 | C42 | — | 15 | 2 | no | — |
| 906 | C3×C5 | — | 4 | 1 | no | Hall |
| 907 | C22×C3 | — | 4 | 1 | no | — |
| 908 | C22×C3 | — | 20 | 2 | no | — |
| 909 | C2×D3 | — | 4 | 2 | no | — |
| 910 | C2×D3 | — | 20 | 1 | no | — |
| 911 | C2×D3 | — | 20 | 1 | no | — |
| 912 | C2×D3 | — | 40 | 4 | no | — |
| 913 | C2×D3 | — | 40 | 2 | no | — |
| 914 | A4 | D5×#41 | 1 | 1 | yes | characteristic, complemented |
| 915 | C3×C4 | — | 4 | 1 | no | — |
| 916 | C3×C4 | — | 4 | 1 | no | — |
| 917 | C3×C4 | — | 20 | 2 | no | — |
| 918 | Dic3 | — | 4 | 2 | no | — |
| 919 | Dic3 | — | 20 | 1 | no | — |
| 920 | Dic3 | — | 20 | 1 | no | — |
| 921 | C2×C5 | — | 2 | 1 | no | — |
| 922 | C2×C5 | — | 3 | 1 | no | — |
| 923 | C2×C5 | — | 3 | 1 | no | — |
| 924 | C2×C5 | — | 6 | 1 | no | — |
| 925 | C2×C5 | — | 12 | 2 | no | — |
| 926 | C2×C5 | C23×S4 | 1 | 1 | yes | characteristic |
| 927 | D5 | — | 2 | 2 | no | — |
| 928 | D5 | — | 6 | 2 | no | — |
| 929 | D5 | — | 6 | 2 | no | — |
| 930 | D5 | — | 12 | 1 | no | — |
| 931 | C23 | — | 2 | 1 | no | — |
| 932 | C23 | — | 3 | 1 | no | — |
| 933 | C23 | — | 3 | 1 | no | — |
| 934 | C23 | — | 3 | 2 | no | — |
| 935 | C23 | — | 6 | 1 | no | — |
| 936 | C23 | — | 10 | 2 | no | — |
| 937 | C23 | — | 15 | 2 | no | — |
| 938 | C23 | — | 15 | 1 | no | — |
| 939 | C23 | — | 15 | 2 | no | — |
| 940 | C23 | — | 15 | 1 | no | — |
| 941 | C23 | — | 30 | 2 | no | — |
| 942 | C23 | — | 30 | 1 | no | — |
| 943 | C23 | — | 30 | 2 | no | — |
| 944 | C23 | — | 30 | 2 | no | — |
| 945 | C23 | — | 30 | 2 | no | — |
| 946 | C23 | — | 30 | 4 | no | — |
| 947 | C23 | — | 30 | 1 | no | — |
| 948 | C23 | — | 60 | 1 | no | — |
| 949 | C23 | — | 60 | 2 | no | — |
| 950 | C23 | C22×D3×D5 | 1 | 1 | yes | characteristic |
| 951 | Q8 | — | 5 | 1 | no | — |
| 952 | Q8 | — | 6 | 1 | no | — |
| 953 | Q8 | — | 6 | 1 | no | — |
| 954 | Q8 | — | 15 | 2 | no | — |
| 955 | Q8 | — | 15 | 1 | no | — |
| 956 | Q8 | — | 30 | 1 | no | — |
| 957 | Q8 | — | 30 | 2 | no | — |
| 958 | Q8 | — | 30 | 2 | no | — |
| 959 | D4 | — | 5 | 2 | no | — |
| 960 | D4 | — | 5 | 1 | no | — |
| 961 | D4 | — | 6 | 1 | no | — |
| 962 | D4 | — | 6 | 2 | no | — |
| 963 | D4 | — | 6 | 2 | no | — |
| 964 | D4 | — | 6 | 2 | no | — |
| 965 | D4 | — | 6 | 2 | no | — |
| 966 | D4 | — | 6 | 1 | no | — |
| 967 | D4 | — | 12 | 2 | no | — |
| 968 | D4 | — | 15 | 2 | no | — |
| 969 | D4 | — | 15 | 2 | no | — |
| 970 | D4 | — | 15 | 2 | no | — |
| 971 | D4 | — | 15 | 2 | no | — |
| 972 | D4 | — | 15 | 2 | no | — |
| 973 | D4 | — | 15 | 2 | no | — |
| 974 | D4 | — | 15 | 1 | no | — |
| 975 | D4 | — | 30 | 1 | no | — |
| 976 | D4 | — | 30 | 2 | no | — |
| 977 | D4 | — | 30 | 2 | no | — |
| 978 | D4 | — | 30 | 2 | no | — |
| 979 | D4 | — | 30 | 4 | no | — |
| 980 | D4 | — | 30 | 2 | no | — |
| 981 | D4 | — | 30 | 2 | no | — |
| 982 | D4 | — | 30 | 2 | no | — |
| 983 | D4 | — | 30 | 4 | no | — |
| 984 | D4 | — | 30 | 1 | no | — |
| 985 | D4 | — | 30 | 2 | no | — |
| 986 | D4 | — | 30 | 2 | no | — |
| 987 | D4 | — | 30 | 2 | no | — |
| 988 | D4 | — | 30 | 1 | no | — |
| 989 | D4 | — | 60 | 2 | no | — |
| 990 | D4 | — | 60 | 2 | no | — |
| 991 | C2×C4 | — | 3 | 1 | no | — |
| 992 | C2×C4 | — | 3 | 1 | no | — |
| 993 | C2×C4 | — | 3 | 1 | no | — |
| 994 | C2×C4 | — | 3 | 1 | no | — |
| 995 | C2×C4 | — | 3 | 1 | no | — |
| 996 | C2×C4 | — | 3 | 1 | no | — |
| 997 | C2×C4 | — | 3 | 1 | no | — |
| 998 | C2×C4 | — | 3 | 2 | no | — |
| 999 | C2×C4 | — | 3 | 2 | no | — |
| 1000 | C2×C4 | — | 3 | 2 | no | — |
| 1001 | C2×C4 | — | 5 | 2 | no | — |
| 1002 | C2×C4 | — | 6 | 1 | no | — |
| 1003 | C2×C4 | — | 6 | 2 | no | — |
| 1004 | C2×C4 | — | 6 | 2 | no | — |
| 1005 | C2×C4 | — | 15 | 2 | no | — |
| 1006 | C2×C4 | — | 15 | 2 | no | — |
| 1007 | C2×C4 | — | 15 | 2 | no | — |
| 1008 | C2×C4 | — | 15 | 1 | no | — |
| 1009 | C2×C4 | — | 15 | 2 | no | — |
| 1010 | C2×C4 | — | 15 | 2 | no | — |
| 1011 | C2×C4 | — | 15 | 1 | no | — |
| 1012 | C2×C4 | — | 15 | 1 | no | — |
| 1013 | C2×C4 | — | 15 | 1 | no | — |
| 1014 | C2×C4 | — | 15 | 1 | no | — |
| 1015 | C2×C4 | — | 15 | 1 | no | — |
| 1016 | C2×C4 | — | 30 | 2 | no | — |
| 1017 | C2×C4 | — | 30 | 1 | no | — |
| 1018 | C2×C4 | — | 30 | 1 | no | — |
| 1019 | C2×C4 | — | 30 | 1 | no | — |
| 1020 | C2×C4 | — | 30 | 1 | no | — |
| 1021 | C2×C4 | — | 30 | 2 | no | — |
| 1022 | C2×C4 | — | 30 | 2 | no | — |
| 1023 | C2×C4 | — | 30 | 2 | no | — |
| 1024 | C2×C4 | — | 30 | 4 | no | — |
| 1025 | C2×C4 | — | 30 | 2 | no | — |
| 1026 | C2×C4 | — | 30 | 2 | no | — |
| 1027 | C2×C4 | — | 30 | 2 | no | — |
| 1028 | C2×C4 | — | 30 | 2 | no | — |
| 1029 | C2×C4 | — | 30 | 1 | no | — |
| 1030 | C2×C4 | — | 30 | 1 | no | — |
| 1031 | C2×C4 | — | 30 | 1 | no | — |
| 1032 | C2×C4 | — | 30 | 1 | no | — |
| 1033 | C2×C4 | — | 30 | 1 | no | — |
| 1034 | C2×C4 | — | 30 | 1 | no | — |
| 1035 | C2×C4 | — | 60 | 2 | no | — |
| 1036 | C2×C4 | — | 60 | 1 | no | — |
| 1037 | C2×C4 | D5×S4 | 1 | 1 | yes | characteristic, complemented |
| 1038 | C2×C3 | — | 4 | 1 | no | — |
| 1039 | C2×C3 | — | 8 | 1 | no | — |
| 1040 | C2×C3 | — | 40 | 2 | no | — |
| 1041 | D3 | — | 8 | 2 | no | — |
| 1042 | D3 | — | 20 | 2 | no | — |
| 1043 | D3 | — | 40 | 1 | no | — |
| 1044 | C5 | #41×S4 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1045 | C22 | — | 3 | 1 | no | — |
| 1046 | C22 | — | 3 | 1 | no | — |
| 1047 | C22 | — | 3 | 1 | no | — |
| 1048 | C22 | — | 5 | 2 | no | — |
| 1049 | C22 | — | 6 | 1 | no | — |
| 1050 | C22 | — | 6 | 1 | no | — |
| 1051 | C22 | — | 6 | 1 | no | — |
| 1052 | C22 | — | 6 | 1 | no | — |
| 1053 | C22 | — | 6 | 2 | no | — |
| 1054 | C22 | — | 6 | 2 | no | — |
| 1055 | C22 | — | 6 | 2 | no | — |
| 1056 | C22 | — | 15 | 2 | no | — |
| 1057 | C22 | — | 15 | 2 | no | — |
| 1058 | C22 | — | 30 | 2 | no | — |
| 1059 | C22 | — | 30 | 2 | no | — |
| 1060 | C22 | — | 30 | 2 | no | — |
| 1061 | C22 | — | 30 | 2 | no | — |
| 1062 | C22 | — | 30 | 1 | no | — |
| 1063 | C22 | — | 30 | 1 | no | — |
| 1064 | C22 | — | 30 | 1 | no | — |
| 1065 | C22 | — | 30 | 1 | no | — |
| 1066 | C22 | — | 30 | 1 | no | — |
| 1067 | C22 | — | 60 | 2 | no | — |
| 1068 | C22 | — | 60 | 2 | no | — |
| 1069 | C22 | — | 60 | 4 | no | — |
| 1070 | C22 | — | 60 | 4 | no | — |
| 1071 | C22 | #92016 | 1 | 1 | yes | characteristic, complemented |
| 1072 | C22 | C2×D5×S4 | 1 | 1 | yes | characteristic |
| 1073 | C4 | — | 3 | 1 | no | — |
| 1074 | C4 | — | 3 | 1 | no | — |
| 1075 | C4 | — | 5 | 2 | no | — |
| 1076 | C4 | — | 6 | 2 | no | — |
| 1077 | C4 | — | 6 | 2 | no | — |
| 1078 | C4 | — | 6 | 2 | no | — |
| 1079 | C4 | — | 15 | 2 | no | — |
| 1080 | C4 | — | 15 | 2 | no | — |
| 1081 | C4 | — | 30 | 1 | no | — |
| 1082 | C4 | — | 30 | 1 | no | — |
| 1083 | C4 | — | 30 | 1 | no | — |
| 1084 | C4 | — | 30 | 1 | no | — |
| 1085 | C4 | — | 30 | 1 | no | — |
| 1086 | C4 | C2×D5×S4 | 1 | 1 | yes | characteristic |
| 1087 | C4 | C2×D5×S4 | 1 | 1 | yes | characteristic |
| 1088 | C3 | — | 4 | 1 | no | Sylow |
| 1089 | C2 | — | 2 | 1 | no | — |
| 1090 | C2 | — | 3 | 1 | no | — |
| 1091 | C2 | — | 3 | 1 | no | — |
| 1092 | C2 | — | 6 | 1 | no | — |
| 1093 | C2 | — | 10 | 2 | no | — |
| 1094 | C2 | — | 12 | 2 | no | — |
| 1095 | C2 | — | 30 | 2 | no | — |
| 1096 | C2 | — | 30 | 2 | no | — |
| 1097 | C2 | — | 60 | 1 | no | — |
| 1098 | C2 | C22×D5×S4 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C4 | C2×D5×S4 |
| commutator, cosocle | C2×C5×A4 | C24 |
| Frattini | C2 | C22×D5×S4 |
| Fitting | C23×C4×C5 | C2×D3 |
| socle | C23×C5 | C23×D3 |
| hypercenter | C2×C4 | D5×S4 |
| hypocenter | C5×A4 | C2×#41 |
| LCS | G ▷ C2×C5×A4 ▷ C5×A4 | |
| UCS | C1 ◁ C4 ◁ C2×C4 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. A4×#709 | C2 | semidirect |
| 2. C2×C4×C5⋊S4 | C2 | semidirect |
| 3. C5×#5912 | C2 | semidirect |
| 4. #11756799 | C2 | semidirect |
| 5. #11756794 | C2 | semidirect |
| 6. #11756758 | C2 | semidirect |
| 7. C4×D5×S4 | C2 | semidirect |
| 8. #11756752 | C2 | semidirect |
| 9. #11756751 | C2 | semidirect |
| 10. (C5⋊S4)⋊Q8 | C2 | semidirect |
| 11. #11756746 | C2 | semidirect |
| 15. C2×C4×C5×A4 | C22 | semidirect |
| 17. A4×C22⋊D5 | C22 | semidirect |
| 18. A4×D20 | C22 | semidirect |
| 19. C4×D5×A4 | C22 | semidirect |
| 20. A4×Dic10 | C22 | semidirect |
| 21. C2×A4⋊Dic5 | C22 | semidirect |
| 24. C4×C5⋊S4 | C22 | semidirect |
| 25. C4×C5⋊S4 | C22 | semidirect |
| 26. C5×GL(2,ℤ/4) | C22 | semidirect |
| 27. C5×C4⋊S4 | C22 | semidirect |
| 28. C4×C5×S4 | C22 | semidirect |
| 29. C5×A4⋊Q8 | C22 | semidirect |
| 30. #91905 | C22 | semidirect |
| 31. #91904 | C22 | semidirect |
| 32. D5×SL(2,ℤ/4) | C22 | semidirect |
| 33. #91902 | C22 | semidirect |
| 35. Dic5×S4 | C22 | semidirect |
| 36. #91899 | C22 | semidirect |
| 39. C22×#709 | D3 | semidirect |
| 93. #5912 | D5 | semidirect |
| 97. C23×C4×C5 | C2×D3 | semidirect |
| 99. C22×C22⋊D5 | C2×D3 | semidirect |
| 120. C22×D20 | C2×D3 | semidirect |
| 123. C22×C4×D5 | C2×D3 | semidirect |
| 124. C22×Dic10 | C2×D3 | semidirect |
| 208. C5⋊S4 | #41 | semidirect |
| 238. C2×C4×A4 | C2×D5 | semidirect |
| 241. GL(2,ℤ/4) | C2×D5 | semidirect |
| 245. C4⋊S4 | C2×D5 | semidirect |
| 252. C4×S4 | C2×D5 | semidirect |
| 254. A4⋊Q8 | C2×D5 | semidirect |
| 330. #709 | S4 | semidirect |
| 434. C5×A4 | C2×#41 | semidirect |
| 508. C2×C4×C5 | C2×S4 | semidirect |
| 525. C22⋊D5 | C2×S4 | semidirect |
| 547. D20 | C2×S4 | semidirect |
| 566. C4×D5 | C2×S4 | semidirect |
| 572. Dic10 | C2×S4 | semidirect |
| 601. C23×C4 | D3×D5 | semidirect |
| 723. C22×C5 | D3×#41 | semidirect |
| 914. A4 | D5×#41 | semidirect |
| 1037. C2×C4 | D5×S4 | semidirect |
| 1044. C5 | #41×S4 | semidirect |
| 1071. C22 | #92016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| A4×#709 | 2 |
| C2×C4×C5⋊S4 | 2 |
| C5×#5912 | 2 |
| #11756799 | 2 |
| #11756794 | 2 |
| #11756758 | 2 |
| C4×D5×S4 | 2 |
| #11756752 | 2 |
| #11756751 | 2 |
| (C5⋊S4)⋊Q8 | 2 |
| #11756746 | 2 |
| #10617938 | 3 |
| #92016 | 4 |
| #41×S4 | 5 |