Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1977 conjugacy classes of subgroups.
The subgroup lattice has 1068 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596071 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#5621 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10595276 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10595275 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10595260 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10595213 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10595202 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10595202 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10595173 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10594972 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10594963 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #10594810 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10594589 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #10594388 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #10594354 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #10594171 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #10594111 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #10594042 | C2 | 1 | 2 | yes | maximal, complemented |
| 19 | #10594030 | C2 | 1 | 2 | yes | maximal, complemented |
| 20 | #87094 | — | 3 | 2 | no | maximal |
| 21 | C32×#121 | C22 | 1 | 1 | yes | characteristic |
| 22 | #64145 | C22 | 1 | 1 | yes | characteristic |
| 23 | #64144 | C22 | 1 | 2 | yes | — |
| 24 | D4×C3⋊Dic3 | C22 | 1 | 2 | yes | — |
| 25 | D4×C3⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 26 | #64133 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C4×C3⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 28 | #64099 | C22 | 1 | 1 | yes | characteristic |
| 29 | #64096 | C22 | 1 | 1 | yes | characteristic |
| 30 | #64088 | C22 | 1 | 2 | yes | — |
| 31 | #64086 | C22 | 1 | 2 | yes | — |
| 32 | C3×#939 | C22 | 1 | 2 | yes | — |
| 33 | C3×#939 | C22 | 1 | 2 | yes | — |
| 34 | C3×#938 | C22 | 1 | 2 | yes | — |
| 35 | C3×#936 | C22 | 1 | 2 | yes | — |
| 36 | C3×#935 | C22 | 1 | 2 | yes | — |
| 37 | C3×#935 | C22 | 1 | 2 | yes | — |
| 38 | C3×#929 | C22 | 1 | 2 | yes | — |
| 39 | C3×#924 | C22 | 1 | 2 | yes | — |
| 40 | C3×#896 | C22 | 1 | 2 | yes | — |
| 41 | C3×#889 | C22 | 1 | 2 | yes | — |
| 42 | C3×#885 | C22 | 1 | 2 | yes | — |
| 43 | C3×#883 | C22 | 1 | 2 | yes | — |
| 44 | C3×#878 | C22 | 1 | 2 | yes | — |
| 45 | C3×#878 | C22 | 1 | 2 | yes | — |
| 46 | #63982 | C22 | 1 | 1 | yes | characteristic |
| 47 | #63982 | C22 | 1 | 2 | yes | — |
| 48 | #63980 | C22 | 1 | 1 | yes | characteristic |
| 49 | #67⋊Dic3 | C22 | 1 | 2 | yes | — |
| 50 | #67⋊Dic3 | C22 | 1 | 2 | yes | — |
| 51 | #67⋊Dic3 | C22 | 1 | 2 | yes | — |
| 52 | #63970 | C22 | 1 | 2 | yes | — |
| 53 | #63969 | C22 | 1 | 2 | yes | — |
| 54 | #63969 | C22 | 1 | 2 | yes | — |
| 55 | #63964 | C22 | 1 | 2 | yes | — |
| 56 | #63964 | C22 | 1 | 2 | yes | — |
| 57 | #63964 | C22 | 1 | 2 | yes | — |
| 58 | #63964 | C22 | 1 | 2 | yes | — |
| 59 | #63961 | C22 | 1 | 2 | yes | — |
| 60 | #63961 | C22 | 1 | 2 | yes | — |
| 61 | #63959 | C22 | 1 | 2 | yes | — |
| 62 | #63959 | C22 | 1 | 2 | yes | — |
| 63 | #63957 | C22 | 1 | 1 | yes | characteristic |
| 64 | #63957 | C22 | 1 | 2 | yes | — |
| 65 | #63957 | C22 | 1 | 1 | yes | characteristic |
| 66 | #63956 | C22 | 1 | 2 | yes | — |
| 67 | #63956 | C22 | 1 | 2 | yes | — |
| 68 | #63956 | C22 | 1 | 2 | yes | — |
| 69 | #63956 | C22 | 1 | 2 | yes | — |
| 70 | #63956 | C22 | 1 | 2 | yes | — |
| 71 | C2×Dic32 | C22 | 1 | 2 | yes | — |
| 72 | #63919 | C22 | 1 | 1 | yes | characteristic |
| 73 | #63915 | C22 | 1 | 1 | yes | characteristic |
| 74 | #63905 | C22 | 1 | 2 | yes | — |
| 75 | #63902 | C22 | 1 | 1 | yes | characteristic |
| 76 | #63899 | C22 | 1 | 2 | yes | — |
| 77 | #63896 | C22 | 1 | 2 | yes | — |
| 78 | #63887 | C22 | 1 | 2 | yes | — |
| 79 | #63878 | C22 | 1 | 2 | yes | — |
| 80 | #63878 | C22 | 1 | 2 | yes | — |
| 81 | C4×D3×Dic3 | C22 | 1 | 2 | yes | — |
| 82 | #63873 | C22 | 1 | 1 | yes | characteristic |
| 83 | #63870 | C22 | 1 | 1 | yes | characteristic |
| 84 | #63870 | C22 | 1 | 1 | yes | characteristic |
| 85 | #63870 | C22 | 1 | 1 | yes | characteristic |
| 86 | #63869 | C22 | 1 | 2 | yes | — |
| 87 | #63867 | C22 | 1 | 2 | yes | — |
| 88 | #63867 | C22 | 1 | 2 | yes | — |
| 89 | #63862 | C22 | 1 | 2 | yes | — |
| 90 | #63861 | C22 | 1 | 2 | yes | — |
| 91 | #63861 | C22 | 1 | 2 | yes | — |
| 92 | #63858 | C22 | 1 | 2 | yes | — |
| 93 | #63856 | C22 | 1 | 2 | yes | — |
| 94 | #63851 | C22 | 1 | 2 | yes | — |
| 95 | #63847 | C22 | 1 | 2 | yes | — |
| 96 | #63847 | C22 | 1 | 2 | yes | — |
| 97 | #63845 | C22 | 1 | 2 | yes | — |
| 98 | #63845 | C22 | 1 | 2 | yes | — |
| 99 | #63843 | C22 | 1 | 2 | yes | — |
| 100 | #63843 | C22 | 1 | 2 | yes | — |
| 101 | #63840 | C22 | 1 | 2 | yes | — |
| 102 | #63839 | C22 | 1 | 2 | yes | — |
| 103 | #63839 | C22 | 1 | 2 | yes | — |
| 104 | #63839 | C22 | 1 | 2 | yes | — |
| 105 | #63838 | C22 | 1 | 2 | yes | — |
| 106 | #63838 | C22 | 1 | 2 | yes | — |
| 107 | #63838 | C22 | 1 | 1 | yes | characteristic |
| 108 | C3×#562 | — | 3 | 2 | no | — |
| 109 | #5688 | — | 3 | 2 | no | — |
| 110 | C3⋊#564 | — | 3 | 2 | no | — |
| 111 | #5680 | — | 3 | 2 | no | — |
| 112 | #5680 | — | 3 | 2 | no | — |
| 113 | #5672 | — | 3 | 2 | no | — |
| 114 | #5672 | — | 3 | 2 | no | — |
| 115 | #5651 | — | 3 | 2 | no | — |
| 116 | #5651 | — | 3 | 2 | no | — |
| 117 | #5651 | — | 3 | 2 | no | — |
| 118 | #5651 | — | 3 | 2 | no | — |
| 119 | #5649 | — | 3 | 2 | no | — |
| 120 | #5649 | — | 3 | 2 | no | — |
| 121 | #5649 | — | 3 | 2 | no | — |
| 122 | #5649 | — | 3 | 2 | no | — |
| 123 | #5646 | — | 3 | 2 | no | — |
| 124 | #5646 | — | 3 | 2 | no | — |
| 125 | #5646 | — | 3 | 2 | no | — |
| 126 | #5646 | — | 3 | 2 | no | — |
| 127 | #5622 | — | 3 | 2 | no | — |
| 128 | #5622 | — | 3 | 2 | no | — |
| 129 | #5622 | — | 3 | 2 | no | — |
| 130 | #5622 | — | 3 | 2 | no | — |
| 131 | #5621 | — | 3 | 2 | no | — |
| 132 | #5621 | — | 3 | 2 | no | — |
| 133 | #5621 | — | 3 | 2 | no | — |
| 134 | #5621 | D3 | 1 | 2 | yes | complemented |
| 135 | #5600 | — | 3 | 2 | no | — |
| 136 | #5600 | — | 3 | 2 | no | — |
| 137 | #5600 | — | 3 | 2 | no | — |
| 138 | #5600 | — | 3 | 2 | no | — |
| 139 | #5600 | — | 6 | 1 | no | — |
| 140 | C2×C32×D4 | C23 | 1 | 1 | yes | characteristic |
| 141 | C2×C32×D4 | C23 | 1 | 2 | yes | — |
| 142 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 143 | C22×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 144 | C22×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 145 | C22×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×#634 | C23 | 1 | 1 | yes | characteristic |
| 147 | C2×C3×#67 | C23 | 1 | 2 | yes | — |
| 148 | C2×C3×#67 | C23 | 1 | 2 | yes | — |
| 149 | C2×C3×#67 | C23 | 1 | 2 | yes | — |
| 150 | C22×C3×Dic3 | C23 | 1 | 2 | yes | — |
| 151 | C22×C3×Dic3 | C23 | 1 | 2 | yes | — |
| 152 | C2×C3×C4×D3 | C23 | 1 | 2 | yes | — |
| 153 | C2×C3×Dic6 | C23 | 1 | 2 | yes | — |
| 154 | C2×C3×Dic6 | C23 | 1 | 2 | yes | — |
| 155 | C2×#627 | C23 | 1 | 1 | yes | characteristic |
| 156 | C2×#627 | C23 | 1 | 2 | yes | — |
| 157 | C2×#627 | C23 | 1 | 2 | yes | — |
| 158 | C2×#625 | C23 | 1 | 1 | yes | characteristic |
| 159 | C2×D3×Dic3 | C23 | 1 | 2 | yes | — |
| 160 | C2×D3×Dic3 | C23 | 1 | 2 | yes | — |
| 161 | C32×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 162 | C32×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 163 | #3757 | C23 | 1 | 2 | yes | — |
| 164 | #3757 | C23 | 1 | 2 | yes | — |
| 165 | #3757 | C23 | 1 | 2 | yes | — |
| 166 | #3757 | C23 | 1 | 2 | yes | — |
| 167 | C4⋊(C3⋊Dic3) | C23 | 1 | 2 | yes | — |
| 168 | C4⋊(C3⋊Dic3) | C23 | 1 | 1 | yes | characteristic |
| 169 | #3750 | C23 | 1 | 2 | yes | — |
| 170 | #3750 | C23 | 1 | 2 | yes | — |
| 171 | #3750 | C23 | 1 | 2 | yes | — |
| 172 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 173 | C4×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 174 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 175 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 176 | C4×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 177 | C3×#217 | C23 | 1 | 2 | yes | — |
| 178 | C3×#217 | C23 | 1 | 2 | yes | — |
| 179 | C3×#217 | C23 | 1 | 2 | yes | — |
| 180 | C3×#217 | C23 | 1 | 2 | yes | — |
| 181 | C3×#217 | C23 | 1 | 2 | yes | — |
| 182 | C3×#217 | C23 | 1 | 2 | yes | — |
| 183 | C3×#217 | C23 | 1 | 2 | yes | — |
| 184 | C3×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 185 | C3×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 186 | C3×(C2×D3)⋊C4 | C23 | 1 | 2 | yes | — |
| 187 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 188 | C3×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 189 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 190 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 191 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 192 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 193 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 194 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 195 | C3×Dic3⋊C4 | C23 | 1 | 2 | yes | — |
| 196 | C3×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 197 | #3724 | C23 | 1 | 2 | yes | — |
| 198 | #3724 | C23 | 1 | 1 | yes | characteristic |
| 199 | #3724 | C23 | 1 | 2 | yes | — |
| 200 | #3724 | C23 | 1 | 2 | yes | — |
| 201 | #3724 | C23 | 1 | 2 | yes | — |
| 202 | #3724 | C23 | 1 | 1 | yes | characteristic |
| 203 | #3724 | C23 | 1 | 1 | yes | characteristic |
| 204 | #3724 | C23 | 1 | 1 | yes | characteristic |
| 205 | #3724 | C23 | 1 | 1 | yes | characteristic |
| 206 | #3724 | C23 | 1 | 1 | yes | characteristic |
| 207 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 208 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 209 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 210 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 211 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 212 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 213 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 214 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 215 | Dic3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 216 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 217 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 218 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 219 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 220 | (C2×D3)⋊Dic3 | C23 | 1 | 2 | yes | — |
| 221 | Dic32 | C23 | 1 | 2 | yes | — |
| 222 | Dic32 | C23 | 1 | 2 | yes | — |
| 223 | Dic32 | C23 | 1 | 2 | yes | — |
| 224 | Dic32 | C23 | 1 | 2 | yes | — |
| 225 | Dic32 | C23 | 1 | 2 | yes | — |
| 226 | Dic32 | C23 | 1 | 2 | yes | — |
| 227 | #3531 | — | 9 | 1 | no | Sylow |
| 228 | C3×#125 | — | 3 | 2 | no | — |
| 229 | C3×#124 | — | 3 | 2 | no | — |
| 230 | C3×#124 | — | 3 | 2 | no | — |
| 231 | C3×#123 | — | 3 | 2 | no | — |
| 232 | C3×#123 | — | 3 | 2 | no | — |
| 233 | C3×#123 | — | 3 | 2 | no | — |
| 234 | C3×#123 | — | 3 | 2 | no | — |
| 235 | C3×C22⋊Q8 | — | 3 | 2 | no | — |
| 236 | C3×C22⋊Q8 | — | 3 | 2 | no | — |
| 237 | C3×C22⋊Q8 | — | 3 | 2 | no | — |
| 238 | C3×C22⋊Q8 | — | 3 | 2 | no | — |
| 239 | C3×#121 | — | 2 | 1 | no | — |
| 240 | C3×#121 | — | 3 | 2 | no | — |
| 241 | C3×#121 | — | 3 | 2 | no | — |
| 242 | C3×#121 | — | 3 | 2 | no | — |
| 243 | C3×#121 | C2×D3 | 1 | 2 | yes | — |
| 244 | #946 | — | 3 | 2 | no | — |
| 245 | #946 | — | 3 | 2 | no | — |
| 246 | Q8×Dic3 | — | 3 | 2 | no | — |
| 247 | Q8×Dic3 | — | 3 | 2 | no | — |
| 248 | #944 | — | 3 | 2 | no | — |
| 249 | #944 | — | 3 | 2 | no | — |
| 250 | #944 | — | 3 | 2 | no | — |
| 251 | #944 | — | 3 | 2 | no | — |
| 252 | #939 | — | 3 | 2 | no | — |
| 253 | #939 | — | 3 | 2 | no | — |
| 254 | #939 | C2×D3 | 1 | 2 | yes | — |
| 255 | #939 | C2×D3 | 1 | 2 | yes | — |
| 256 | #938 | — | 3 | 2 | no | — |
| 257 | #938 | C2×D3 | 1 | 2 | yes | — |
| 258 | #936 | — | 3 | 2 | no | — |
| 259 | #936 | — | 3 | 2 | no | — |
| 260 | #936 | — | 3 | 2 | no | — |
| 261 | #936 | — | 6 | 1 | no | — |
| 262 | #936 | C2×D3 | 1 | 2 | yes | — |
| 263 | #935 | — | 3 | 2 | no | — |
| 264 | #935 | — | 3 | 2 | no | — |
| 265 | #935 | — | 3 | 2 | no | — |
| 266 | #935 | — | 3 | 2 | no | — |
| 267 | #935 | — | 3 | 2 | no | — |
| 268 | #935 | — | 3 | 2 | no | — |
| 269 | #935 | — | 6 | 2 | no | — |
| 270 | #935 | C2×D3 | 1 | 2 | yes | — |
| 271 | #935 | C2×D3 | 1 | 2 | yes | — |
| 272 | D4×Dic3 | — | 3 | 2 | no | — |
| 273 | D4×Dic3 | — | 3 | 2 | no | — |
| 274 | D4×Dic3 | — | 3 | 2 | no | — |
| 275 | D4×Dic3 | — | 3 | 2 | no | — |
| 276 | D4×Dic3 | — | 3 | 2 | no | — |
| 277 | D4×Dic3 | — | 3 | 2 | no | — |
| 278 | D4×Dic3 | — | 6 | 2 | no | — |
| 279 | D4×Dic3 | — | 6 | 1 | no | — |
| 280 | #929 | — | 3 | 2 | no | — |
| 281 | #929 | — | 3 | 2 | no | — |
| 282 | #929 | — | 3 | 2 | no | — |
| 283 | #929 | C2×D3 | 1 | 2 | yes | — |
| 284 | #924 | — | 3 | 2 | no | — |
| 285 | #924 | — | 3 | 2 | no | — |
| 286 | #924 | — | 3 | 2 | no | — |
| 287 | #924 | — | 3 | 2 | no | — |
| 288 | #924 | — | 3 | 2 | no | — |
| 289 | #924 | — | 3 | 2 | no | — |
| 290 | #924 | — | 3 | 2 | no | — |
| 291 | #924 | — | 6 | 1 | no | — |
| 292 | #924 | C2×D3 | 1 | 2 | yes | — |
| 293 | C2×C4×Dic3 | — | 3 | 2 | no | — |
| 294 | C2×C4×Dic3 | — | 3 | 2 | no | — |
| 295 | C2×C4×Dic3 | — | 3 | 2 | no | — |
| 296 | C2×C4×Dic3 | — | 3 | 2 | no | — |
| 297 | C2×C4×Dic3 | — | 6 | 1 | no | — |
| 298 | #898 | — | 3 | 2 | no | — |
| 299 | #898 | — | 3 | 2 | no | — |
| 300 | #898 | — | 3 | 2 | no | — |
| 301 | #898 | — | 3 | 2 | no | — |
| 302 | #896 | — | 3 | 2 | no | — |
| 303 | #896 | — | 3 | 2 | no | — |
| 304 | #896 | — | 3 | 2 | no | — |
| 305 | #896 | C2×D3 | 1 | 2 | yes | — |
| 306 | #892 | — | 3 | 2 | no | — |
| 307 | #892 | — | 3 | 2 | no | — |
| 308 | #890 | — | 3 | 2 | no | — |
| 309 | #890 | — | 3 | 2 | no | — |
| 310 | #890 | — | 3 | 2 | no | — |
| 311 | #890 | — | 3 | 2 | no | — |
| 312 | #890 | — | 6 | 1 | no | — |
| 313 | #889 | — | 3 | 2 | no | — |
| 314 | #889 | — | 3 | 2 | no | — |
| 315 | #889 | — | 3 | 2 | no | — |
| 316 | #889 | — | 3 | 2 | no | — |
| 317 | #889 | — | 3 | 2 | no | — |
| 318 | #889 | — | 3 | 2 | no | — |
| 319 | #889 | — | 3 | 2 | no | — |
| 320 | #889 | — | 3 | 2 | no | — |
| 321 | #889 | — | 3 | 2 | no | — |
| 322 | #889 | — | 3 | 2 | no | — |
| 323 | #889 | — | 3 | 2 | no | — |
| 324 | #889 | C2×D3 | 1 | 2 | yes | — |
| 325 | #888 | — | 3 | 2 | no | — |
| 326 | #888 | — | 3 | 2 | no | — |
| 327 | #888 | — | 3 | 2 | no | — |
| 328 | #888 | — | 3 | 2 | no | — |
| 329 | #888 | — | 3 | 2 | no | — |
| 330 | #888 | — | 3 | 2 | no | — |
| 331 | #887 | — | 3 | 2 | no | — |
| 332 | #887 | — | 3 | 2 | no | — |
| 333 | #887 | — | 3 | 2 | no | — |
| 334 | #887 | — | 3 | 2 | no | — |
| 335 | #887 | — | 3 | 2 | no | — |
| 336 | #887 | — | 3 | 2 | no | — |
| 337 | #887 | — | 3 | 2 | no | — |
| 338 | #887 | — | 3 | 2 | no | — |
| 339 | #887 | — | 6 | 1 | no | — |
| 340 | #885 | — | 3 | 2 | no | — |
| 341 | #885 | — | 3 | 2 | no | — |
| 342 | #885 | — | 3 | 2 | no | — |
| 343 | #885 | C2×D3 | 1 | 2 | yes | — |
| 344 | #883 | — | 3 | 2 | no | — |
| 345 | #883 | — | 3 | 2 | no | — |
| 346 | #883 | — | 3 | 2 | no | — |
| 347 | #883 | C2×D3 | 1 | 2 | yes | — |
| 348 | #67⋊C4 | — | 3 | 2 | no | — |
| 349 | #67⋊C4 | — | 3 | 2 | no | — |
| 350 | #67⋊C4 | — | 3 | 2 | no | — |
| 351 | #67⋊C4 | — | 3 | 2 | no | — |
| 352 | #879 | — | 3 | 2 | no | — |
| 353 | #879 | — | 3 | 2 | no | — |
| 354 | #879 | — | 3 | 2 | no | — |
| 355 | #879 | — | 3 | 2 | no | — |
| 356 | #879 | — | 3 | 2 | no | — |
| 357 | #879 | — | 3 | 2 | no | — |
| 358 | #879 | — | 3 | 2 | no | — |
| 359 | #879 | — | 3 | 2 | no | — |
| 360 | #879 | — | 3 | 2 | no | — |
| 361 | #879 | — | 3 | 2 | no | — |
| 362 | #879 | — | 3 | 2 | no | — |
| 363 | #879 | — | 3 | 2 | no | — |
| 364 | #879 | — | 3 | 2 | no | — |
| 365 | #879 | — | 3 | 2 | no | — |
| 366 | #879 | — | 3 | 2 | no | — |
| 367 | #879 | — | 3 | 2 | no | — |
| 368 | #879 | — | 6 | 2 | no | — |
| 369 | #878 | — | 3 | 2 | no | — |
| 370 | #878 | — | 3 | 2 | no | — |
| 371 | #878 | — | 3 | 2 | no | — |
| 372 | #878 | — | 3 | 2 | no | — |
| 373 | #878 | — | 3 | 2 | no | — |
| 374 | #878 | — | 3 | 2 | no | — |
| 375 | #878 | — | 3 | 2 | no | — |
| 376 | #878 | — | 3 | 2 | no | — |
| 377 | #878 | — | 3 | 2 | no | — |
| 378 | #878 | — | 3 | 2 | no | — |
| 379 | #878 | C2×D3 | 1 | 2 | yes | — |
| 380 | #878 | C2×D3 | 1 | 2 | yes | — |
| 381 | #877 | — | 3 | 2 | no | — |
| 382 | #877 | — | 3 | 2 | no | — |
| 383 | #877 | — | 3 | 2 | no | — |
| 384 | #877 | — | 3 | 2 | no | — |
| 385 | #877 | — | 3 | 2 | no | — |
| 386 | #877 | — | 3 | 2 | no | — |
| 387 | #877 | — | 3 | 2 | no | — |
| 388 | #877 | — | 3 | 2 | no | — |
| 389 | #877 | — | 6 | 2 | no | — |
| 390 | C42×D3 | — | 3 | 2 | no | — |
| 391 | #870 | — | 3 | 2 | no | — |
| 392 | #870 | — | 3 | 2 | no | — |
| 393 | #870 | — | 3 | 2 | no | — |
| 394 | C23×C32 | C24 | 1 | 1 | yes | characteristic |
| 395 | C23×C32 | C24 | 1 | 2 | yes | — |
| 396 | C22×C3×D3 | C24 | 1 | 2 | yes | — |
| 397 | C32×D4 | — | 4 | 1 | no | — |
| 398 | C32×D4 | — | 4 | 2 | no | — |
| 399 | C2×C32×C4 | — | 4 | 1 | no | — |
| 400 | C2×C32×C4 | C24 | 1 | 2 | yes | — |
| 401 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 402 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 403 | C2×C3⋊Dic3 | — | 2 | 4 | no | — |
| 404 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 405 | C2×C3⋊Dic3 | — | 4 | 1 | no | — |
| 406 | C2×C3⋊Dic3 | C24 | 1 | 2 | yes | — |
| 407 | C2×C3⋊Dic3 | C24 | 1 | 2 | yes | — |
| 408 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 409 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 410 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 411 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 412 | #634 | — | 4 | 1 | no | — |
| 413 | C3×#67 | — | 4 | 2 | no | — |
| 414 | C3×#67 | — | 4 | 2 | no | — |
| 415 | C3×#67 | — | 4 | 2 | no | — |
| 416 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 417 | C2×C3×Dic3 | — | 4 | 2 | no | — |
| 418 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 419 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 420 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 421 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 422 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 423 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 424 | C2×C3×Dic3 | C24 | 1 | 2 | yes | — |
| 425 | C3×C4×D3 | — | 4 | 2 | no | — |
| 426 | C3×Dic6 | — | 4 | 2 | no | — |
| 427 | C3×Dic6 | — | 4 | 2 | no | — |
| 428 | #627 | — | 4 | 2 | no | — |
| 429 | #627 | — | 4 | 1 | no | — |
| 430 | #627 | — | 4 | 2 | no | — |
| 431 | #625 | — | 4 | 1 | no | — |
| 432 | D3×Dic3 | — | 2 | 4 | no | — |
| 433 | D3×Dic3 | — | 4 | 2 | no | — |
| 434 | #564 | — | 9 | 1 | no | — |
| 435 | #563 | — | 9 | 1 | no | — |
| 436 | #563 | — | 9 | 2 | no | — |
| 437 | #563 | — | 9 | 2 | no | — |
| 438 | #563 | — | 9 | 2 | no | — |
| 439 | #563 | — | 9 | 1 | no | — |
| 440 | #563 | — | 9 | 2 | no | — |
| 441 | #562 | — | 3 | 2 | no | — |
| 442 | #562 | — | 9 | 2 | no | — |
| 443 | #562 | — | 9 | 1 | no | — |
| 444 | #533 | — | 9 | 2 | no | — |
| 445 | #533 | — | 9 | 1 | no | — |
| 446 | #533 | — | 9 | 2 | no | — |
| 447 | #529 | — | 9 | 2 | no | — |
| 448 | #529 | — | 9 | 2 | no | — |
| 449 | #529 | — | 9 | 2 | no | — |
| 450 | #529 | — | 9 | 1 | no | — |
| 451 | #529 | — | 9 | 2 | no | — |
| 452 | #529 | — | 9 | 1 | no | — |
| 453 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 454 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 455 | C2×C3×D4 | — | 2 | 2 | no | — |
| 456 | C2×C3×D4 | — | 2 | 1 | no | — |
| 457 | C2×C3×D4 | — | 3 | 2 | no | — |
| 458 | C2×C3×D4 | — | 3 | 2 | no | — |
| 459 | C2×C3×D4 | — | 3 | 2 | no | — |
| 460 | C2×C3×D4 | C22×D3 | 1 | 2 | yes | — |
| 461 | C2×C3×D4 | C22×D3 | 1 | 2 | yes | — |
| 462 | C2×C3×D4 | C22×D3 | 1 | 2 | yes | — |
| 463 | C22×C3×C4 | — | 2 | 1 | no | — |
| 464 | C22×C3×C4 | — | 3 | 2 | no | — |
| 465 | C22×C3×C4 | — | 3 | 2 | no | — |
| 466 | C22×C3×C4 | — | 3 | 2 | no | — |
| 467 | C22×C3×C4 | C22×D3 | 1 | 2 | yes | — |
| 468 | C2×#67 | — | 3 | 2 | no | — |
| 469 | C2×#67 | C22×D3 | 1 | 2 | yes | — |
| 470 | C2×#67 | C22×D3 | 1 | 2 | yes | — |
| 471 | C2×#67 | C22×D3 | 1 | 2 | yes | — |
| 472 | C22×Dic3 | — | 3 | 2 | no | — |
| 473 | C22×Dic3 | — | 3 | 2 | no | — |
| 474 | C22×Dic3 | — | 3 | 2 | no | — |
| 475 | C22×Dic3 | — | 3 | 2 | no | — |
| 476 | C22×Dic3 | — | 3 | 2 | no | — |
| 477 | C22×Dic3 | — | 3 | 2 | no | — |
| 478 | C22×Dic3 | — | 6 | 2 | no | — |
| 479 | C22×Dic3 | — | 6 | 1 | no | — |
| 480 | C22×Dic3 | — | 6 | 1 | no | — |
| 481 | C22×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 482 | C22×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 483 | C2×C4×D3 | — | 3 | 2 | no | — |
| 484 | C2×C4×D3 | — | 3 | 2 | no | — |
| 485 | C2×C4×D3 | C22×D3 | 1 | 2 | yes | — |
| 486 | C2×Dic6 | — | 3 | 2 | no | — |
| 487 | C2×Dic6 | — | 3 | 2 | no | — |
| 488 | C2×Dic6 | — | 3 | 2 | no | — |
| 489 | C2×Dic6 | — | 3 | 2 | no | — |
| 490 | C2×Dic6 | — | 3 | 2 | no | — |
| 491 | C2×Dic6 | — | 3 | 2 | no | — |
| 492 | C2×Dic6 | — | 6 | 1 | no | — |
| 493 | C2×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 494 | C2×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 495 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 496 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 497 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 498 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 499 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 500 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 501 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 502 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 503 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 504 | C3×C4⋊C4 | — | 3 | 2 | no | — |
| 505 | C3×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 506 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 507 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 508 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 509 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 510 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 511 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 512 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 513 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 514 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 515 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 516 | C3×C22⋊C4 | — | 3 | 2 | no | — |
| 517 | C3×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 518 | C3×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 519 | C3×C42 | — | 3 | 2 | no | — |
| 520 | #217 | — | 3 | 2 | no | — |
| 521 | #217 | — | 3 | 2 | no | — |
| 522 | #217 | — | 3 | 2 | no | — |
| 523 | #217 | — | 3 | 2 | no | — |
| 524 | #217 | — | 3 | 2 | no | — |
| 525 | #217 | — | 3 | 2 | no | — |
| 526 | #217 | — | 3 | 2 | no | — |
| 527 | #217 | — | 3 | 2 | no | — |
| 528 | #217 | — | 3 | 2 | no | — |
| 529 | #217 | — | 3 | 2 | no | — |
| 530 | #217 | — | 3 | 2 | no | — |
| 531 | #217 | — | 3 | 2 | no | — |
| 532 | #217 | — | 3 | 2 | no | — |
| 533 | #217 | — | 6 | 2 | no | — |
| 534 | #217 | — | 6 | 2 | no | — |
| 535 | #217 | — | 6 | 2 | no | — |
| 536 | #217 | — | 6 | 2 | no | — |
| 537 | #217 | C22×D3 | 1 | 2 | yes | — |
| 538 | #217 | C22×D3 | 1 | 2 | yes | — |
| 539 | #217 | C22×D3 | 1 | 2 | yes | — |
| 540 | #217 | C22×D3 | 1 | 2 | yes | — |
| 541 | #217 | C22×D3 | 1 | 2 | yes | — |
| 542 | #217 | C22×D3 | 1 | 2 | yes | — |
| 543 | #217 | C22×D3 | 1 | 2 | yes | — |
| 544 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 545 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 546 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 547 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 548 | (C2×D3)⋊C4 | — | 3 | 2 | no | — |
| 549 | (C2×D3)⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 550 | (C2×D3)⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 551 | (C2×D3)⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 552 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 553 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 554 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 555 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 556 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 557 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 558 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 559 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 560 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 561 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 562 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 563 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 564 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 565 | C4⋊Dic3 | — | 6 | 1 | no | — |
| 566 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 567 | C4⋊Dic3 | C22×D3 | 1 | 2 | yes | — |
| 568 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 569 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 570 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 571 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 572 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 573 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 574 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 575 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 576 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 577 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 578 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 579 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 580 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 581 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 582 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 583 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 584 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 585 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 586 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 587 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 588 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 589 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 590 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 591 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 592 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 593 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 594 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 595 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 596 | Dic3⋊C4 | — | 3 | 2 | no | — |
| 597 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 598 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 599 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 600 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 601 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 602 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 603 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 604 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 605 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 606 | Dic3⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 607 | C4×Dic3 | — | 3 | 2 | no | — |
| 608 | C4×Dic3 | — | 3 | 2 | no | — |
| 609 | C4×Dic3 | — | 3 | 2 | no | — |
| 610 | C4×Dic3 | — | 3 | 2 | no | — |
| 611 | C4×Dic3 | — | 3 | 2 | no | — |
| 612 | C4×Dic3 | — | 3 | 2 | no | — |
| 613 | C4×Dic3 | — | 3 | 2 | no | — |
| 614 | C4×Dic3 | — | 3 | 2 | no | — |
| 615 | C4×Dic3 | — | 3 | 2 | no | — |
| 616 | C4×Dic3 | — | 3 | 2 | no | — |
| 617 | C4×Dic3 | — | 3 | 2 | no | — |
| 618 | C4×Dic3 | — | 3 | 2 | no | — |
| 619 | C4×Dic3 | — | 3 | 2 | no | — |
| 620 | C4×Dic3 | — | 3 | 2 | no | — |
| 621 | C4×Dic3 | — | 3 | 2 | no | — |
| 622 | C4×Dic3 | — | 3 | 2 | no | — |
| 623 | C4×Dic3 | — | 3 | 2 | no | — |
| 624 | C4×Dic3 | — | 3 | 2 | no | — |
| 625 | C4×Dic3 | — | 6 | 1 | no | — |
| 626 | C4×Dic3 | — | 6 | 2 | no | — |
| 627 | C4×Dic3 | — | 6 | 1 | no | — |
| 628 | C4×Dic3 | — | 6 | 1 | no | — |
| 629 | C4×Dic3 | — | 6 | 1 | no | — |
| 630 | C4×Dic3 | C22×D3 | 1 | 2 | yes | — |
| 631 | C22×C32 | — | 2 | 1 | no | — |
| 632 | C22×C32 | — | 2 | 1 | no | — |
| 633 | C22×C32 | — | 2 | 2 | no | — |
| 634 | C22×C32 | — | 2 | 2 | no | — |
| 635 | C22×C32 | — | 2 | 2 | no | — |
| 636 | C22×C32 | — | 2 | 1 | no | — |
| 637 | C22×C32 | C25 | 1 | 1 | yes | characteristic |
| 638 | C2×C3×D3 | — | 2 | 2 | no | — |
| 639 | C2×C3×D3 | — | 2 | 2 | no | — |
| 640 | C2×C3×D3 | — | 2 | 2 | no | — |
| 641 | C32×C4 | — | 2 | 1 | no | — |
| 642 | C32×C4 | — | 2 | 1 | no | — |
| 643 | C32×C4 | — | 2 | 2 | no | — |
| 644 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 645 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 646 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 647 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 648 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 649 | C3⋊Dic3 | 2−1+4 | 1 | 2 | yes | — |
| 650 | C3×Dic3 | — | 2 | 2 | no | — |
| 651 | C3×Dic3 | — | 2 | 2 | no | — |
| 652 | C3×Dic3 | — | 2 | 2 | no | — |
| 653 | C3×Dic3 | — | 2 | 2 | no | — |
| 654 | C3×Dic3 | — | 2 | 2 | no | — |
| 655 | C3×Dic3 | — | 2 | 2 | no | — |
| 656 | C3×Dic3 | — | 2 | 2 | no | — |
| 657 | C4⋊Q8 | — | 9 | 2 | no | — |
| 658 | C4⋊Q8 | — | 9 | 1 | no | — |
| 659 | C4⋊Q8 | — | 9 | 2 | no | — |
| 660 | C4⋊Q8 | — | 9 | 2 | no | — |
| 661 | C4⋊Q8 | — | 9 | 2 | no | — |
| 662 | C4⋊Q8 | — | 9 | 1 | no | — |
| 663 | #126 | — | 9 | 2 | no | — |
| 664 | #126 | — | 9 | 2 | no | — |
| 665 | #126 | — | 9 | 2 | no | — |
| 666 | #126 | — | 9 | 2 | no | — |
| 667 | #126 | — | 9 | 2 | no | — |
| 668 | #126 | — | 9 | 2 | no | — |
| 669 | #126 | — | 9 | 2 | no | — |
| 670 | #126 | — | 9 | 2 | no | — |
| 671 | #126 | — | 9 | 2 | no | — |
| 672 | #126 | — | 9 | 2 | no | — |
| 673 | #125 | — | 3 | 2 | no | — |
| 674 | #125 | — | 9 | 2 | no | — |
| 675 | #125 | — | 9 | 2 | no | — |
| 676 | #125 | — | 9 | 2 | no | — |
| 677 | #125 | — | 9 | 1 | no | — |
| 678 | #125 | — | 9 | 2 | no | — |
| 679 | #125 | — | 9 | 2 | no | — |
| 680 | #125 | — | 9 | 2 | no | — |
| 681 | #125 | — | 9 | 1 | no | — |
| 682 | #125 | — | 9 | 2 | no | — |
| 683 | #125 | — | 9 | 1 | no | — |
| 684 | #125 | — | 9 | 1 | no | — |
| 685 | #124 | — | 3 | 2 | no | — |
| 686 | #124 | — | 3 | 2 | no | — |
| 687 | #124 | — | 9 | 1 | no | — |
| 688 | #124 | — | 9 | 2 | no | — |
| 689 | #124 | — | 9 | 2 | no | — |
| 690 | #124 | — | 9 | 1 | no | — |
| 691 | #123 | — | 3 | 2 | no | — |
| 692 | #123 | — | 3 | 2 | no | — |
| 693 | #123 | — | 3 | 2 | no | — |
| 694 | #123 | — | 3 | 2 | no | — |
| 695 | #123 | — | 9 | 2 | no | — |
| 696 | #123 | — | 9 | 2 | no | — |
| 697 | #123 | — | 9 | 2 | no | — |
| 698 | #123 | — | 9 | 2 | no | — |
| 699 | #123 | — | 9 | 2 | no | — |
| 700 | #123 | — | 9 | 2 | no | — |
| 701 | C22⋊Q8 | — | 3 | 2 | no | — |
| 702 | C22⋊Q8 | — | 3 | 2 | no | — |
| 703 | C22⋊Q8 | — | 3 | 2 | no | — |
| 704 | C22⋊Q8 | — | 3 | 2 | no | — |
| 705 | C22⋊Q8 | — | 9 | 1 | no | — |
| 706 | C22⋊Q8 | — | 9 | 2 | no | — |
| 707 | C22⋊Q8 | — | 9 | 2 | no | — |
| 708 | C22⋊Q8 | — | 9 | 2 | no | — |
| 709 | C22⋊Q8 | — | 9 | 2 | no | — |
| 710 | C22⋊Q8 | — | 9 | 2 | no | — |
| 711 | C22⋊Q8 | — | 9 | 2 | no | — |
| 712 | C22⋊Q8 | — | 9 | 2 | no | — |
| 713 | C22⋊Q8 | — | 9 | 2 | no | — |
| 714 | C22⋊Q8 | — | 9 | 2 | no | — |
| 715 | C22⋊Q8 | — | 9 | 2 | no | — |
| 716 | C22⋊Q8 | — | 9 | 1 | no | — |
| 717 | #121 | — | 3 | 2 | no | — |
| 718 | #121 | — | 3 | 2 | no | — |
| 719 | #121 | — | 3 | 2 | no | — |
| 720 | #121 | — | 9 | 2 | no | — |
| 721 | #121 | — | 9 | 1 | no | — |
| 722 | #121 | D32 | 1 | 1 | yes | characteristic |
| 723 | C4×Q8 | — | 9 | 2 | no | — |
| 724 | C4×Q8 | — | 9 | 2 | no | — |
| 725 | C4×Q8 | — | 9 | 1 | no | — |
| 726 | C4×Q8 | — | 9 | 2 | no | — |
| 727 | C4×Q8 | — | 9 | 2 | no | — |
| 728 | C4×Q8 | — | 9 | 1 | no | — |
| 729 | C4×D4 | — | 9 | 1 | no | — |
| 730 | C4×D4 | — | 9 | 2 | no | — |
| 731 | C4×D4 | — | 9 | 2 | no | — |
| 732 | C4×D4 | — | 9 | 2 | no | — |
| 733 | C4×D4 | — | 9 | 1 | no | — |
| 734 | C4×D4 | — | 9 | 2 | no | — |
| 735 | #117 | — | 9 | 1 | no | — |
| 736 | #117 | — | 9 | 2 | no | — |
| 737 | #117 | — | 9 | 1 | no | — |
| 738 | #117 | — | 9 | 2 | no | — |
| 739 | #117 | — | 9 | 2 | no | — |
| 740 | #117 | — | 9 | 2 | no | — |
| 741 | C2×C42 | — | 9 | 2 | no | — |
| 742 | C2×C42 | — | 9 | 2 | no | — |
| 743 | C2×C42 | — | 9 | 1 | no | — |
| 744 | C23×C3 | — | 2 | 1 | no | — |
| 745 | C23×C3 | — | 2 | 2 | no | — |
| 746 | C23×C3 | — | 3 | 2 | no | — |
| 747 | C23×C3 | C23×D3 | 1 | 2 | yes | — |
| 748 | C23×C3 | C23×D3 | 1 | 2 | yes | — |
| 749 | C23×C3 | C23×D3 | 1 | 2 | yes | — |
| 750 | C22×D3 | C23×D3 | 1 | 2 | yes | — |
| 751 | C3×Q8 | — | 12 | 2 | no | — |
| 752 | C3×Q8 | — | 12 | 2 | no | — |
| 753 | C3×D4 | — | 4 | 2 | no | — |
| 754 | C3×D4 | — | 4 | 2 | no | — |
| 755 | C3×D4 | — | 4 | 2 | no | — |
| 756 | C3×D4 | — | 4 | 2 | no | — |
| 757 | C3×D4 | — | 4 | 4 | no | — |
| 758 | C3×D4 | — | 12 | 2 | no | — |
| 759 | C3×D4 | — | 12 | 2 | no | — |
| 760 | C3×D4 | — | 12 | 2 | no | — |
| 761 | C2×C3×C4 | — | 2 | 1 | no | — |
| 762 | C2×C3×C4 | — | 2 | 1 | no | — |
| 763 | C2×C3×C4 | — | 2 | 2 | no | — |
| 764 | C2×C3×C4 | — | 3 | 2 | no | — |
| 765 | C2×C3×C4 | — | 3 | 2 | no | — |
| 766 | C2×C3×C4 | — | 3 | 2 | no | — |
| 767 | C2×C3×C4 | — | 3 | 2 | no | — |
| 768 | C2×C3×C4 | — | 3 | 2 | no | — |
| 769 | C2×C3×C4 | — | 3 | 2 | no | — |
| 770 | C2×C3×C4 | — | 3 | 2 | no | — |
| 771 | C2×C3×C4 | — | 4 | 2 | no | — |
| 772 | C2×C3×C4 | — | 4 | 2 | no | — |
| 773 | C2×C3×C4 | — | 12 | 2 | no | — |
| 774 | C2×C3×C4 | — | 12 | 2 | no | — |
| 775 | C2×C3×C4 | — | 12 | 2 | no | — |
| 776 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 777 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 778 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 779 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 780 | #67 | — | 4 | 2 | no | — |
| 781 | #67 | — | 4 | 2 | no | — |
| 782 | #67 | — | 4 | 2 | no | — |
| 783 | #67 | — | 12 | 2 | no | — |
| 784 | C2×Dic3 | — | 3 | 2 | no | — |
| 785 | C2×Dic3 | — | 3 | 2 | no | — |
| 786 | C2×Dic3 | — | 3 | 2 | no | — |
| 787 | C2×Dic3 | — | 3 | 2 | no | — |
| 788 | C2×Dic3 | — | 3 | 2 | no | — |
| 789 | C2×Dic3 | — | 3 | 2 | no | — |
| 790 | C2×Dic3 | — | 3 | 2 | no | — |
| 791 | C2×Dic3 | — | 3 | 2 | no | — |
| 792 | C2×Dic3 | — | 4 | 2 | no | — |
| 793 | C2×Dic3 | — | 4 | 2 | no | — |
| 794 | C2×Dic3 | — | 6 | 1 | no | — |
| 795 | C2×Dic3 | — | 6 | 1 | no | — |
| 796 | C2×Dic3 | — | 6 | 1 | no | — |
| 797 | C2×Dic3 | — | 6 | 1 | no | — |
| 798 | C2×Dic3 | — | 6 | 2 | no | — |
| 799 | C2×Dic3 | — | 6 | 2 | no | — |
| 800 | C2×Dic3 | — | 6 | 4 | no | — |
| 801 | C2×Dic3 | — | 6 | 4 | no | — |
| 802 | C2×Dic3 | — | 6 | 4 | no | — |
| 803 | C2×Dic3 | — | 6 | 4 | no | — |
| 804 | C2×Dic3 | — | 12 | 2 | no | — |
| 805 | C2×Dic3 | — | 12 | 4 | no | — |
| 806 | C2×Dic3 | — | 12 | 2 | no | — |
| 807 | C2×Dic3 | — | 12 | 2 | no | — |
| 808 | C2×Dic3 | — | 12 | 2 | no | — |
| 809 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 810 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 811 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 812 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 813 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 814 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 815 | C2×Dic3 | C23×D3 | 1 | 2 | yes | — |
| 816 | C4×D3 | — | 4 | 2 | no | — |
| 817 | C4×D3 | — | 6 | 4 | no | — |
| 818 | C4×D3 | — | 12 | 2 | no | — |
| 819 | Dic6 | — | 4 | 2 | no | — |
| 820 | Dic6 | — | 4 | 2 | no | — |
| 821 | Dic6 | — | 12 | 2 | no | — |
| 822 | Dic6 | — | 12 | 2 | no | — |
| 823 | Dic6 | — | 12 | 2 | no | — |
| 824 | Dic6 | — | 12 | 2 | no | — |
| 825 | Dic6 | — | 12 | 2 | no | — |
| 826 | Dic6 | — | 12 | 2 | no | — |
| 827 | Dic6 | — | 12 | 2 | no | — |
| 828 | C2×C32 | — | 4 | 1 | no | — |
| 829 | C2×C32 | — | 4 | 2 | no | — |
| 830 | C2×C32 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 831 | C2×C32 | #585 | 1 | 1 | yes | characteristic |
| 832 | C2×C32 | #585 | 1 | 1 | yes | characteristic |
| 833 | C3×D3 | — | 4 | 2 | no | — |
| 834 | C2×Q8 | — | 3 | 2 | no | — |
| 835 | C2×Q8 | — | 3 | 2 | no | — |
| 836 | C2×Q8 | — | 9 | 1 | no | — |
| 837 | C2×Q8 | — | 9 | 2 | no | — |
| 838 | C2×Q8 | — | 9 | 2 | no | — |
| 839 | C2×Q8 | — | 9 | 1 | no | — |
| 840 | C2×D4 | — | 3 | 2 | no | — |
| 841 | C2×D4 | — | 3 | 2 | no | — |
| 842 | C2×D4 | — | 3 | 2 | no | — |
| 843 | C2×D4 | — | 9 | 1 | no | — |
| 844 | C2×D4 | C2×D32 | 1 | 1 | yes | characteristic |
| 845 | C2×D4 | C2×D32 | 1 | 2 | yes | — |
| 846 | C22×C4 | — | 3 | 2 | no | — |
| 847 | C22×C4 | — | 3 | 2 | no | — |
| 848 | C22×C4 | — | 3 | 2 | no | — |
| 849 | C22×C4 | — | 9 | 2 | no | — |
| 850 | C22×C4 | — | 9 | 2 | no | — |
| 851 | C22×C4 | — | 9 | 1 | no | — |
| 852 | C22×C4 | — | 9 | 2 | no | — |
| 853 | C22×C4 | — | 9 | 1 | no | — |
| 854 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 855 | C4⋊C4 | — | 3 | 2 | no | — |
| 856 | C4⋊C4 | — | 3 | 2 | no | — |
| 857 | C4⋊C4 | — | 3 | 2 | no | — |
| 858 | C4⋊C4 | — | 3 | 2 | no | — |
| 859 | C4⋊C4 | — | 3 | 2 | no | — |
| 860 | C4⋊C4 | — | 3 | 2 | no | — |
| 861 | C4⋊C4 | — | 3 | 2 | no | — |
| 862 | C4⋊C4 | — | 3 | 2 | no | — |
| 863 | C4⋊C4 | — | 3 | 2 | no | — |
| 864 | C4⋊C4 | — | 9 | 1 | no | — |
| 865 | C4⋊C4 | — | 9 | 2 | no | — |
| 866 | C4⋊C4 | — | 9 | 1 | no | — |
| 867 | C4⋊C4 | — | 9 | 2 | no | — |
| 868 | C4⋊C4 | — | 9 | 2 | no | — |
| 869 | C4⋊C4 | — | 9 | 1 | no | — |
| 870 | C4⋊C4 | — | 9 | 2 | no | — |
| 871 | C4⋊C4 | — | 9 | 1 | no | — |
| 872 | C4⋊C4 | — | 9 | 1 | no | — |
| 873 | C4⋊C4 | — | 9 | 2 | no | — |
| 874 | C4⋊C4 | — | 9 | 2 | no | — |
| 875 | C4⋊C4 | — | 9 | 2 | no | — |
| 876 | C4⋊C4 | — | 9 | 1 | no | — |
| 877 | C4⋊C4 | — | 9 | 2 | no | — |
| 878 | C4⋊C4 | — | 9 | 2 | no | — |
| 879 | C4⋊C4 | — | 9 | 2 | no | — |
| 880 | C4⋊C4 | — | 9 | 2 | no | — |
| 881 | C4⋊C4 | — | 9 | 2 | no | — |
| 882 | C4⋊C4 | — | 9 | 2 | no | — |
| 883 | C4⋊C4 | — | 9 | 2 | no | — |
| 884 | C4⋊C4 | — | 9 | 2 | no | — |
| 885 | C4⋊C4 | — | 9 | 2 | no | — |
| 886 | C4⋊C4 | — | 9 | 1 | no | — |
| 887 | C4⋊C4 | — | 9 | 2 | no | — |
| 888 | C4⋊C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 889 | C22⋊C4 | — | 3 | 2 | no | — |
| 890 | C22⋊C4 | — | 3 | 2 | no | — |
| 891 | C22⋊C4 | — | 3 | 2 | no | — |
| 892 | C22⋊C4 | — | 3 | 2 | no | — |
| 893 | C22⋊C4 | — | 3 | 2 | no | — |
| 894 | C22⋊C4 | — | 3 | 2 | no | — |
| 895 | C22⋊C4 | — | 3 | 2 | no | — |
| 896 | C22⋊C4 | — | 3 | 2 | no | — |
| 897 | C22⋊C4 | — | 3 | 2 | no | — |
| 898 | C22⋊C4 | — | 3 | 2 | no | — |
| 899 | C22⋊C4 | — | 9 | 2 | no | — |
| 900 | C22⋊C4 | — | 9 | 2 | no | — |
| 901 | C22⋊C4 | — | 9 | 2 | no | — |
| 902 | C22⋊C4 | — | 9 | 2 | no | — |
| 903 | C22⋊C4 | — | 9 | 2 | no | — |
| 904 | C22⋊C4 | — | 9 | 2 | no | — |
| 905 | C22⋊C4 | — | 9 | 2 | no | — |
| 906 | C22⋊C4 | — | 9 | 2 | no | — |
| 907 | C22⋊C4 | — | 9 | 2 | no | — |
| 908 | C22⋊C4 | C2×D32 | 1 | 2 | yes | — |
| 909 | C42 | — | 3 | 2 | no | — |
| 910 | C42 | — | 9 | 2 | no | — |
| 911 | C42 | — | 9 | 2 | no | — |
| 912 | C42 | — | 9 | 2 | no | — |
| 913 | C42 | — | 9 | 2 | no | — |
| 914 | C42 | — | 9 | 2 | no | — |
| 915 | C42 | — | 9 | 2 | no | — |
| 916 | C42 | — | 9 | 2 | no | — |
| 917 | C42 | — | 9 | 1 | no | — |
| 918 | C42 | — | 9 | 1 | no | — |
| 919 | C42 | — | 9 | 1 | no | — |
| 920 | C42 | — | 9 | 1 | no | — |
| 921 | C22×C3 | — | 2 | 2 | no | — |
| 922 | C22×C3 | — | 2 | 2 | no | — |
| 923 | C22×C3 | — | 2 | 2 | no | — |
| 924 | C22×C3 | — | 2 | 2 | no | — |
| 925 | C22×C3 | — | 2 | 2 | no | — |
| 926 | C22×C3 | — | 2 | 2 | no | — |
| 927 | C22×C3 | — | 2 | 2 | no | — |
| 928 | C22×C3 | — | 2 | 2 | no | — |
| 929 | C22×C3 | — | 2 | 2 | no | — |
| 930 | C22×C3 | — | 2 | 2 | no | — |
| 931 | C22×C3 | — | 2 | 1 | no | — |
| 932 | C22×C3 | — | 4 | 1 | no | — |
| 933 | C22×C3 | — | 4 | 1 | no | — |
| 934 | C22×C3 | — | 4 | 2 | no | — |
| 935 | C22×C3 | — | 4 | 2 | no | — |
| 936 | C22×C3 | — | 4 | 2 | no | — |
| 937 | C22×C3 | — | 6 | 2 | no | — |
| 938 | C22×C3 | — | 6 | 2 | no | — |
| 939 | C22×C3 | — | 6 | 2 | no | — |
| 940 | C22×C3 | C24×D3 | 1 | 2 | yes | — |
| 941 | C2×D3 | — | 2 | 2 | no | — |
| 942 | C2×D3 | — | 2 | 2 | no | — |
| 943 | C2×D3 | — | 2 | 2 | no | — |
| 944 | C3×C4 | — | 2 | 2 | no | — |
| 945 | C3×C4 | — | 2 | 2 | no | — |
| 946 | C3×C4 | — | 2 | 2 | no | — |
| 947 | C3×C4 | — | 2 | 2 | no | — |
| 948 | C3×C4 | — | 2 | 2 | no | — |
| 949 | C3×C4 | — | 4 | 1 | no | — |
| 950 | C3×C4 | — | 4 | 2 | no | — |
| 951 | C3×C4 | — | 6 | 2 | no | — |
| 952 | C3×C4 | — | 6 | 2 | no | — |
| 953 | C3×C4 | — | 6 | 2 | no | — |
| 954 | C3×C4 | — | 6 | 2 | no | — |
| 955 | C3×C4 | — | 6 | 2 | no | — |
| 956 | C3×C4 | — | 6 | 2 | no | — |
| 957 | C3×C4 | — | 6 | 2 | no | — |
| 958 | Dic3 | — | 2 | 2 | no | — |
| 959 | Dic3 | — | 2 | 2 | no | — |
| 960 | Dic3 | — | 2 | 2 | no | — |
| 961 | Dic3 | — | 2 | 2 | no | — |
| 962 | Dic3 | — | 2 | 2 | no | — |
| 963 | Dic3 | — | 2 | 2 | no | — |
| 964 | Dic3 | — | 2 | 2 | no | — |
| 965 | Dic3 | — | 3 | 4 | no | — |
| 966 | Dic3 | — | 6 | 2 | no | — |
| 967 | Dic3 | — | 6 | 2 | no | — |
| 968 | Dic3 | — | 6 | 2 | no | — |
| 969 | Dic3 | — | 6 | 2 | no | — |
| 970 | Dic3 | — | 6 | 2 | no | — |
| 971 | Dic3 | — | 6 | 2 | no | — |
| 972 | Dic3 | — | 6 | 2 | no | — |
| 973 | Dic3 | — | 6 | 2 | no | — |
| 974 | Dic3 | — | 12 | 2 | no | — |
| 975 | Dic3 | — | 12 | 1 | no | — |
| 976 | Dic3 | — | 12 | 1 | no | — |
| 977 | Dic3 | — | 12 | 1 | no | — |
| 978 | Dic3 | — | 12 | 2 | no | — |
| 979 | C32 | #3531 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 980 | C23 | — | 3 | 2 | no | — |
| 981 | C23 | C22×D32 | 1 | 1 | yes | characteristic |
| 982 | C23 | C22×D32 | 1 | 2 | yes | — |
| 983 | Q8 | — | 12 | 2 | no | — |
| 984 | Q8 | — | 12 | 2 | no | — |
| 985 | Q8 | — | 36 | 1 | no | — |
| 986 | Q8 | — | 36 | 2 | no | — |
| 987 | Q8 | — | 36 | 2 | no | — |
| 988 | Q8 | — | 36 | 1 | no | — |
| 989 | D4 | — | 4 | 1 | no | — |
| 990 | D4 | — | 4 | 2 | no | — |
| 991 | D4 | — | 12 | 2 | no | — |
| 992 | D4 | — | 12 | 2 | no | — |
| 993 | D4 | — | 12 | 2 | no | — |
| 994 | D4 | — | 36 | 1 | no | — |
| 995 | C2×C4 | — | 3 | 2 | no | — |
| 996 | C2×C4 | — | 3 | 2 | no | — |
| 997 | C2×C4 | — | 3 | 2 | no | — |
| 998 | C2×C4 | — | 3 | 2 | no | — |
| 999 | C2×C4 | — | 3 | 2 | no | — |
| 1000 | C2×C4 | — | 3 | 2 | no | — |
| 1001 | C2×C4 | — | 3 | 2 | no | — |
| 1002 | C2×C4 | — | 4 | 1 | no | — |
| 1003 | C2×C4 | — | 9 | 1 | no | — |
| 1004 | C2×C4 | — | 9 | 2 | no | — |
| 1005 | C2×C4 | — | 9 | 1 | no | — |
| 1006 | C2×C4 | — | 9 | 2 | no | — |
| 1007 | C2×C4 | — | 9 | 1 | no | — |
| 1008 | C2×C4 | — | 9 | 1 | no | — |
| 1009 | C2×C4 | — | 12 | 2 | no | — |
| 1010 | C2×C4 | — | 12 | 2 | no | — |
| 1011 | C2×C4 | — | 12 | 2 | no | — |
| 1012 | C2×C4 | — | 18 | 4 | no | — |
| 1013 | C2×C4 | — | 18 | 2 | no | — |
| 1014 | C2×C4 | — | 18 | 4 | no | — |
| 1015 | C2×C4 | — | 36 | 2 | no | — |
| 1016 | C2×C4 | — | 36 | 1 | no | — |
| 1017 | C2×C4 | C22×D32 | 1 | 2 | yes | — |
| 1018 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 1019 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 1020 | C2×C3 | — | 2 | 1 | no | — |
| 1021 | C2×C3 | — | 2 | 1 | no | — |
| 1022 | C2×C3 | — | 2 | 1 | no | — |
| 1023 | C2×C3 | — | 4 | 2 | no | — |
| 1024 | C2×C3 | — | 4 | 2 | no | — |
| 1025 | C2×C3 | — | 4 | 2 | no | — |
| 1026 | C2×C3 | — | 4 | 2 | no | — |
| 1027 | C2×C3 | — | 8 | 2 | no | — |
| 1028 | C2×C3 | — | 12 | 2 | no | — |
| 1029 | C2×C3 | #5966 | 1 | 2 | yes | — |
| 1030 | C2×C3 | #5966 | 1 | 2 | yes | — |
| 1031 | C2×C3 | D3×2−1+4 | 1 | 2 | yes | — |
| 1032 | D3 | — | 4 | 2 | no | — |
| 1033 | C22 | — | 2 | 1 | no | — |
| 1034 | C22 | — | 2 | 2 | no | — |
| 1035 | C22 | — | 2 | 2 | no | — |
| 1036 | C22 | — | 2 | 1 | no | — |
| 1037 | C22 | — | 2 | 1 | no | — |
| 1038 | C22 | — | 2 | 2 | no | — |
| 1039 | C22 | — | 6 | 2 | no | — |
| 1040 | C22 | — | 6 | 2 | no | — |
| 1041 | C22 | — | 6 | 2 | no | — |
| 1042 | C22 | C23×D32 | 1 | 1 | yes | characteristic |
| 1043 | C4 | — | 2 | 1 | no | — |
| 1044 | C4 | — | 2 | 1 | no | — |
| 1045 | C4 | — | 2 | 2 | no | — |
| 1046 | C4 | — | 6 | 2 | no | — |
| 1047 | C4 | — | 6 | 2 | no | — |
| 1048 | C4 | — | 6 | 2 | no | — |
| 1049 | C4 | — | 6 | 2 | no | — |
| 1050 | C4 | — | 6 | 2 | no | — |
| 1051 | C4 | — | 6 | 2 | no | — |
| 1052 | C4 | — | 6 | 2 | no | — |
| 1053 | C4 | — | 9 | 2 | no | — |
| 1054 | C4 | — | 18 | 1 | no | — |
| 1055 | C4 | — | 18 | 2 | no | — |
| 1056 | C4 | — | 18 | 1 | no | — |
| 1057 | C4 | — | 18 | 2 | no | — |
| 1058 | C4 | — | 18 | 1 | no | — |
| 1059 | C3 | — | 2 | 1 | no | — |
| 1060 | C3 | #87094 | 1 | 2 | yes | complemented |
| 1061 | C2 | — | 4 | 1 | no | — |
| 1062 | C2 | — | 4 | 2 | no | — |
| 1063 | C2 | — | 12 | 2 | no | — |
| 1064 | C2 | #10596679 | 1 | 1 | yes | characteristic |
| 1065 | C2 | #10596679 | 1 | 1 | yes | characteristic |
| 1066 | C2 | #10596694 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C23×D32 |
| commutator, socle, cosocle | C22×C32 | C25 |
| Fitting | C32×#121 | C22 |
| hypercenter | #121 | D32 |
| hypocenter | C32 | #3531 |
| LCS | G ▷ C22×C32 ▷ C32 | |
| UCS | C1 ◁ C22 ◁ #121 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596071 | C2 | semidirect |
| 2. C3×#5621 | C2 | semidirect |
| 3. #10595276 | C2 | semidirect |
| 4. #10595275 | C2 | semidirect |
| 5. #10595260 | C2 | semidirect |
| 6. #10595213 | C2 | semidirect |
| 7. #10595202 | C2 | semidirect |
| 8. #10595202 | C2 | semidirect |
| 9. #10595173 | C2 | semidirect |
| 10. #10594972 | C2 | semidirect |
| 11. #10594963 | C2 | semidirect |
| 12. #10594810 | C2 | semidirect |
| 13. #10594589 | C2 | semidirect |
| 14. #10594388 | C2 | semidirect |
| 15. #10594354 | C2 | semidirect |
| 16. #10594171 | C2 | semidirect |
| 17. #10594111 | C2 | semidirect |
| 18. #10594042 | C2 | semidirect |
| 19. #10594030 | C2 | semidirect |
| 134. #5621 | D3 | semidirect |
| 979. C32 | #3531 | semidirect |
| 1060. C3 | #87094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596071 | 2 |
| C3×#5621 | 2 |
| #10595276 | 2 |
| #10595275 | 2 |
| #10595260 | 2 |
| #10595213 | 2 |
| #10595202 | 2 |
| #10595173 | 2 |
| #10594972 | 2 |
| #10594963 | 2 |
| #10594810 | 2 |
| #10594589 | 2 |
| #10594388 | 2 |
| #10594354 | 2 |
| #10594171 | 2 |
| #10594111 | 2 |
| #10594042 | 2 |
| #10594030 | 2 |
| #87094 | 3 |