Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
2928 conjugacy classes of subgroups; only the 216 normal subgroups are shown.
This group has 2928 conjugacy classes of subgroups — too many to draw. Only its 216 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | H(5,𝔽2)×#157 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3⋊D3×B(4,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #120×#157 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #11787935 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #11787071 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #11784820 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #99×#157 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C24×#157 | C22 | 1 | 1 | yes | characteristic, complemented |
| 9 | C3⋊D3×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 10 | #10596650 | — | 2 | 3 | no | — |
| 11 | #41×#157 | — | 2 | 3 | no | — |
| 12 | #10596642 | — | 2 | 3 | no | — |
| 13 | #10596642 | C22 | 1 | 3 | yes | — |
| 14 | C2×D4×#157 | — | 2 | 3 | no | — |
| 15 | C2×D4×#157 | — | 2 | 3 | no | — |
| 16 | C2×D4×#157 | C22 | 1 | 3 | yes | — |
| 17 | C3⋊D3×#120 | C22 | 1 | 3 | yes | — |
| 18 | #10593847 | C22 | 1 | 3 | yes | complemented |
| 19 | #10593826 | — | 2 | 3 | no | — |
| 20 | #10593826 | C22 | 1 | 3 | yes | — |
| 21 | #10593817 | C22 | 1 | 3 | yes | — |
| 22 | #10593746 | — | 2 | 3 | no | — |
| 23 | #10593746 | C22 | 1 | 3 | yes | complemented |
| 24 | C22⋊C4×#157 | — | 2 | 3 | no | — |
| 25 | C22⋊C4×#157 | C22 | 1 | 3 | yes | complemented |
| 26 | C32×B(4,𝔽2) | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | #10592943 | C4 | 1 | 1 | yes | characteristic, complemented |
| 28 | #10592731 | C4 | 1 | 3 | yes | complemented |
| 29 | C3⋊D3×#99 | C22 | 1 | 3 | yes | — |
| 30 | #10592440 | C4 | 1 | 3 | yes | complemented |
| 31 | #10590155 | C22 | 1 | 6 | yes | complemented |
| 32 | D3×B(4,𝔽2) | — | 6 | 2 | no | — |
| 33 | C24×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 34 | C23×#157 | — | 2 | 1 | no | — |
| 35 | C23×#157 | — | 2 | 3 | no | — |
| 36 | C23×#157 | — | 2 | 3 | no | — |
| 37 | C23×#157 | — | 4 | 4 | no | — |
| 38 | C23×#157 | D4 | 1 | 3 | yes | complemented |
| 39 | C23×#157 | C23 | 1 | 1 | yes | characteristic |
| 40 | C23×#157 | C23 | 1 | 1 | yes | characteristic |
| 41 | C32×H(5,𝔽2) | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 42 | #64366 | — | 2 | 3 | no | — |
| 43 | #41×C3⋊D3 | — | 2 | 3 | no | — |
| 44 | #64361 | — | 2 | 3 | no | — |
| 45 | #64361 | C2×C4 | 1 | 3 | yes | complemented |
| 46 | C2×D4×C3⋊D3 | — | 2 | 3 | no | — |
| 47 | C2×D4×C3⋊D3 | — | 2 | 3 | no | — |
| 48 | C2×D4×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 49 | C2×C22⋊#157 | — | 2 | 3 | no | — |
| 50 | C2×C22⋊#157 | — | 2 | 3 | no | — |
| 51 | C2×C22⋊#157 | — | 2 | 3 | no | — |
| 52 | C2×C22⋊#157 | — | 2 | 3 | no | — |
| 53 | C2×C22⋊#157 | — | 2 | 3 | no | — |
| 54 | C2×C22⋊#157 | D4 | 1 | 3 | yes | complemented |
| 55 | C2×C22⋊#157 | C23 | 1 | 3 | yes | — |
| 56 | C2×C22⋊#157 | C23 | 1 | 3 | yes | — |
| 57 | Q8×#157 | — | 2 | 1 | no | — |
| 58 | Q8×#157 | — | 2 | 3 | no | — |
| 59 | D4×#157 | — | 2 | 3 | no | — |
| 60 | D4×#157 | — | 2 | 6 | no | — |
| 61 | D4×#157 | — | 2 | 3 | no | — |
| 62 | D4×#157 | — | 2 | 6 | no | — |
| 63 | D4×#157 | — | 2 | 6 | no | — |
| 64 | D4×#157 | — | 2 | 6 | no | — |
| 65 | D4×#157 | — | 2 | 6 | no | — |
| 66 | D4×#157 | — | 4 | 12 | no | — |
| 67 | #64286 | — | 2 | 6 | no | — |
| 68 | #64286 | — | 2 | 3 | no | — |
| 69 | C2×C4⋊#157 | — | 2 | 3 | no | — |
| 70 | C2×C4⋊#157 | — | 2 | 3 | no | — |
| 71 | C2×C4⋊#157 | D4 | 1 | 3 | yes | complemented |
| 72 | C2×C4×#157 | — | 2 | 3 | no | — |
| 73 | C2×C4×#157 | — | 2 | 3 | no | — |
| 74 | C2×C4×#157 | D4 | 1 | 3 | yes | complemented |
| 75 | C32×#120 | C2×C4 | 1 | 3 | yes | complemented |
| 76 | #64162 | C2×C4 | 1 | 3 | yes | complemented |
| 77 | #64146 | — | 2 | 3 | no | — |
| 78 | #64146 | C2×C4 | 1 | 3 | yes | complemented |
| 79 | #64091 | — | 2 | 3 | no | — |
| 80 | #64091 | C2×C4 | 1 | 3 | yes | complemented |
| 81 | C22⋊C4×C3⋊D3 | — | 2 | 3 | no | — |
| 82 | C22⋊C4×C3⋊D3 | C23 | 1 | 3 | yes | — |
| 83 | #63786 | — | 2 | 3 | no | — |
| 84 | #63781 | — | 2 | 3 | no | — |
| 85 | #63781 | — | 2 | 3 | no | — |
| 86 | #63781 | — | 2 | 3 | no | — |
| 87 | #63774 | — | 2 | 3 | no | — |
| 88 | C32×#99 | C2×C4 | 1 | 3 | yes | complemented |
| 89 | #63661 | C2×C4 | 1 | 3 | yes | complemented |
| 90 | #63633 | C2×C4 | 1 | 6 | yes | complemented |
| 91 | C4×B(4,𝔽2) | — | 9 | 1 | no | maximal, Sylow |
| 92 | D3×H(5,𝔽2) | — | 6 | 2 | no | — |
| 93 | D3×#120 | — | 6 | 6 | no | — |
| 94 | C3×B(4,𝔽2) | — | 2 | 2 | no | — |
| 95 | #5244 | — | 6 | 2 | no | — |
| 96 | #5032 | — | 6 | 6 | no | — |
| 97 | D3×#99 | — | 6 | 6 | no | — |
| 98 | #4741 | — | 6 | 6 | no | — |
| 99 | C24×C32 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 100 | C23×C3⋊D3 | — | 2 | 1 | no | — |
| 101 | C23×C3⋊D3 | — | 2 | 3 | no | — |
| 102 | C23×C3⋊D3 | — | 2 | 3 | no | — |
| 103 | C23×C3⋊D3 | — | 4 | 2 | no | — |
| 104 | C23×C3⋊D3 | — | 4 | 2 | no | — |
| 105 | C23×C3⋊D3 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 106 | C23×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 107 | C23×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 108 | C22×#157 | — | 2 | 12 | no | — |
| 109 | C22×#157 | — | 2 | 3 | no | — |
| 110 | C22×#157 | — | 2 | 3 | no | — |
| 111 | C22×#157 | — | 2 | 3 | no | — |
| 112 | C22×#157 | — | 2 | 3 | no | — |
| 113 | C22×#157 | — | 2 | 3 | no | — |
| 114 | C22×#157 | — | 2 | 3 | no | — |
| 115 | C22×#157 | — | 4 | 2 | no | — |
| 116 | C22×#157 | — | 4 | 2 | no | — |
| 117 | C22×#157 | — | 4 | 6 | no | — |
| 118 | C22×#157 | — | 4 | 6 | no | — |
| 119 | C22×#157 | — | 4 | 6 | no | — |
| 120 | C22×#157 | — | 4 | 6 | no | — |
| 121 | C22×#157 | — | 4 | 3 | no | — |
| 122 | C22×#157 | — | 4 | 1 | no | — |
| 123 | C22×#157 | — | 8 | 2 | no | — |
| 124 | C22×#157 | C2×D4 | 1 | 3 | yes | — |
| 125 | C22×#157 | C2×D4 | 1 | 3 | yes | — |
| 126 | C22×#157 | C2×D4 | 1 | 3 | yes | — |
| 127 | C22×#157 | C2×D4 | 1 | 3 | yes | — |
| 128 | C32×#41 | — | 2 | 3 | no | — |
| 129 | C2×C32×D4 | — | 2 | 3 | no | — |
| 130 | C2×C32×D4 | — | 2 | 3 | no | — |
| 131 | C2×C32×D4 | C22×C4 | 1 | 3 | yes | — |
| 132 | C2×#638 | — | 2 | 3 | no | — |
| 133 | C2×#638 | — | 2 | 3 | no | — |
| 134 | C2×#638 | — | 2 | 3 | no | — |
| 135 | C2×#638 | — | 2 | 3 | no | — |
| 136 | C2×#638 | C22×C4 | 1 | 3 | yes | — |
| 137 | C2×#638 | #41 | 1 | 3 | yes | — |
| 138 | #3832 | — | 2 | 3 | no | — |
| 139 | Q8×C3⋊D3 | — | 2 | 1 | no | — |
| 140 | #3830 | — | 2 | 3 | no | — |
| 141 | #3830 | — | 2 | 6 | no | — |
| 142 | D4×C3⋊D3 | — | 2 | 3 | no | — |
| 143 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 144 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 145 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 146 | D4×C3⋊D3 | — | 2 | 6 | no | — |
| 147 | D4×C3⋊D3 | — | 4 | 6 | no | — |
| 148 | D4×C3⋊D3 | — | 4 | 6 | no | — |
| 149 | #3828 | — | 2 | 6 | no | — |
| 150 | #3828 | — | 2 | 3 | no | — |
| 151 | C2×C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 152 | C2×C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 153 | C2×C4⋊(C3⋊D3) | #41 | 1 | 3 | yes | — |
| 154 | C2×C4×C3⋊D3 | — | 2 | 3 | no | — |
| 155 | C2×C4×C3⋊D3 | — | 2 | 3 | no | — |
| 156 | C2×C4×C3⋊D3 | C2×D4 | 1 | 3 | yes | — |
| 157 | C22⋊#157 | — | 2 | 6 | no | — |
| 158 | C22⋊#157 | — | 2 | 6 | no | — |
| 159 | C22⋊#157 | — | 2 | 6 | no | — |
| 160 | C22⋊#157 | — | 2 | 6 | no | — |
| 161 | C22⋊#157 | — | 4 | 6 | no | — |
| 162 | C22⋊#157 | — | 4 | 6 | no | — |
| 163 | C22⋊#157 | — | 4 | 6 | no | — |
| 164 | C4⋊#157 | — | 2 | 3 | no | — |
| 165 | C4⋊#157 | — | 2 | 3 | no | — |
| 166 | C4⋊#157 | — | 2 | 6 | no | — |
| 167 | C4⋊#157 | — | 4 | 6 | no | — |
| 168 | C4×#157 | — | 2 | 6 | no | — |
| 169 | C4×#157 | — | 2 | 3 | no | — |
| 170 | C4×#157 | — | 2 | 3 | no | — |
| 171 | C4×#157 | — | 4 | 6 | no | — |
| 172 | C32×C22⋊C4 | — | 2 | 3 | no | — |
| 173 | C32×C22⋊C4 | C22×C4 | 1 | 3 | yes | complemented |
| 174 | #3757 | — | 2 | 3 | no | — |
| 175 | #3757 | C22×C4 | 1 | 3 | yes | complemented |
| 176 | #3752 | — | 2 | 3 | no | — |
| 177 | #3752 | — | 2 | 3 | no | — |
| 178 | #3752 | — | 2 | 3 | no | — |
| 179 | C4×H(5,𝔽2) | — | 9 | 1 | no | — |
| 180 | C2×B(4,𝔽2) | — | 9 | 1 | no | — |
| 181 | C4×#120 | — | 9 | 3 | no | — |
| 182 | #1889 | — | 9 | 3 | no | — |
| 183 | #1867 | — | 9 | 3 | no | — |
| 184 | #1790 | — | 9 | 1 | no | — |
| 185 | C4×#99 | — | 9 | 3 | no | — |
| 186 | C24×D3 | — | 6 | 2 | no | — |
| 187 | C3×H(5,𝔽2) | — | 2 | 2 | no | — |
| 188 | #1009 | — | 12 | 6 | no | — |
| 189 | D3×#41 | — | 12 | 6 | no | — |
| 190 | #1004 | — | 6 | 6 | no | — |
| 191 | #1004 | — | 12 | 6 | no | — |
| 192 | C2×D3×D4 | — | 6 | 6 | no | — |
| 193 | C2×D3×D4 | — | 12 | 6 | no | — |
| 194 | C2×D3×D4 | — | 12 | 6 | no | — |
| 195 | C3×#120 | — | 2 | 6 | no | — |
| 196 | #953 | — | 6 | 6 | no | — |
| 197 | #937 | — | 6 | 6 | no | — |
| 198 | #937 | — | 12 | 6 | no | — |
| 199 | #882 | — | 6 | 6 | no | — |
| 200 | #882 | — | 12 | 6 | no | — |
| 201 | D3×C22⋊C4 | — | 6 | 6 | no | — |
| 202 | D3×C22⋊C4 | — | 12 | 6 | no | — |
| 203 | C3×#99 | — | 2 | 6 | no | — |
| 204 | #834 | — | 6 | 6 | no | — |
| 205 | #806 | — | 6 | 12 | no | — |
| 206 | C23×C32 | — | 2 | 1 | no | — |
| 207 | C23×C32 | — | 2 | 3 | no | — |
| 208 | C23×C32 | — | 4 | 2 | no | — |
| 209 | C23×C32 | C4×D4 | 1 | 3 | yes | complemented |
| 210 | C23×C32 | C23×C4 | 1 | 1 | yes | characteristic |
| 211 | C22×C3⋊D3 | — | 2 | 6 | no | — |
| 212 | C22×C3⋊D3 | — | 2 | 6 | no | — |
| 213 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 214 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 215 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 216 | C22×C3⋊D3 | — | 2 | 3 | no | — |
| 217 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 218 | C22×C3⋊D3 | — | 4 | 2 | no | — |
| 219 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 220 | C22×C3⋊D3 | — | 4 | 3 | no | — |
| 221 | C22×C3⋊D3 | — | 4 | 3 | no | — |
| 222 | C22×C3⋊D3 | — | 4 | 6 | no | — |
| 223 | C22×C3⋊D3 | — | 4 | 3 | no | — |
| 224 | C22×C3⋊D3 | — | 4 | 3 | no | — |
| 225 | C22×C3⋊D3 | — | 4 | 6 | no | — |
| 226 | C22×C3⋊D3 | — | 4 | 1 | no | — |
| 227 | C22×C3⋊D3 | — | 4 | 3 | no | — |
| 228 | C22×C3⋊D3 | — | 8 | 1 | no | — |
| 229 | C22×C3⋊D3 | — | 8 | 1 | no | — |
| 230 | C22×C3⋊D3 | C4×D4 | 1 | 3 | yes | complemented |
| 231 | C22×C3⋊D3 | C22×D4 | 1 | 3 | yes | — |
| 232 | C22×C3⋊D3 | C2×#41 | 1 | 3 | yes | — |
| 233 | C2×#157 | — | 2 | 6 | no | — |
| 234 | C2×#157 | — | 2 | 6 | no | — |
| 235 | C2×#157 | — | 2 | 3 | no | — |
| 236 | C2×#157 | — | 2 | 3 | no | — |
| 237 | C2×#157 | — | 4 | 3 | no | — |
| 238 | C2×#157 | — | 4 | 12 | no | — |
| 239 | C2×#157 | — | 4 | 3 | no | — |
| 240 | C2×#157 | — | 4 | 1 | no | — |
| 241 | C2×#157 | — | 4 | 4 | no | — |
| 242 | C2×#157 | — | 4 | 6 | no | — |
| 243 | C2×#157 | — | 4 | 3 | no | — |
| 244 | C2×#157 | — | 4 | 3 | no | — |
| 245 | C2×#157 | — | 4 | 3 | no | — |
| 246 | C2×#157 | — | 4 | 3 | no | — |
| 247 | C2×#157 | — | 4 | 3 | no | — |
| 248 | C2×#157 | — | 8 | 3 | no | — |
| 249 | C2×#157 | — | 8 | 3 | no | — |
| 250 | C2×#157 | — | 8 | 3 | no | — |
| 251 | C2×#157 | #120 | 1 | 3 | yes | — |
| 252 | C2×#157 | #120 | 1 | 1 | yes | characteristic |
| 253 | C32×Q8 | — | 2 | 1 | no | — |
| 254 | C32×D4 | — | 2 | 3 | no | — |
| 255 | C32×D4 | — | 2 | 6 | no | — |
| 256 | C32×D4 | — | 4 | 6 | no | — |
| 257 | C2×C32×C4 | — | 2 | 3 | no | — |
| 258 | C2×C32×C4 | — | 2 | 3 | no | — |
| 259 | C2×C32×C4 | C4×D4 | 1 | 3 | yes | complemented |
| 260 | #638 | — | 2 | 6 | no | — |
| 261 | #638 | — | 2 | 6 | no | — |
| 262 | #638 | — | 2 | 6 | no | — |
| 263 | #638 | — | 4 | 6 | no | — |
| 264 | #638 | — | 4 | 6 | no | — |
| 265 | C2×C3⋊Dic3 | — | 2 | 3 | no | — |
| 266 | C2×C3⋊Dic3 | — | 2 | 3 | no | — |
| 267 | C2×C3⋊Dic3 | C4×D4 | 1 | 3 | yes | complemented |
| 268 | C4⋊(C3⋊D3) | — | 2 | 3 | no | — |
| 269 | C4⋊(C3⋊D3) | — | 2 | 6 | no | — |
| 270 | C4⋊(C3⋊D3) | — | 4 | 6 | no | — |
| 271 | C4×C3⋊D3 | — | 2 | 6 | no | — |
| 272 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 273 | C4×C3⋊D3 | — | 2 | 3 | no | — |
| 274 | C4×C3⋊D3 | — | 4 | 3 | no | — |
| 275 | C4×C3⋊D3 | — | 4 | 3 | no | — |
| 276 | #634 | — | 2 | 3 | no | — |
| 277 | C2×H(5,𝔽2) | — | 9 | 1 | no | — |
| 278 | C24×C4 | — | 9 | 1 | no | — |
| 279 | C2×#120 | — | 9 | 3 | no | — |
| 280 | #520 | — | 18 | 3 | no | — |
| 281 | #518 | — | 9 | 3 | no | — |
| 282 | #518 | — | 18 | 3 | no | — |
| 283 | C4×#41 | — | 18 | 3 | no | — |
| 284 | C2×C4×D4 | — | 9 | 3 | no | — |
| 285 | C2×C4×D4 | — | 18 | 3 | no | — |
| 286 | C2×C4×D4 | — | 18 | 3 | no | — |
| 287 | B(4,𝔽2) | — | 9 | 1 | no | — |
| 288 | B(4,𝔽2) | — | 9 | 3 | no | — |
| 289 | B(4,𝔽2) | — | 9 | 3 | no | — |
| 290 | B(4,𝔽2) | #157 | 1 | 1 | yes | characteristic, direct product factor |
| 291 | C2×#99 | — | 9 | 3 | no | — |
| 292 | C2×#99 | — | 9 | 3 | no | — |
| 293 | #386 | — | 9 | 3 | no | — |
| 294 | #386 | — | 18 | 3 | no | — |
| 295 | #385 | — | 9 | 3 | no | — |
| 296 | #385 | — | 18 | 3 | no | — |
| 297 | #379 | — | 9 | 3 | no | — |
| 298 | C4×C22⋊C4 | — | 9 | 3 | no | — |
| 299 | C4×C22⋊C4 | — | 18 | 3 | no | — |
| 300 | #342 | — | 9 | 6 | no | — |
| 301 | C24×C3 | — | 2 | 2 | no | — |
| 302 | C23×D3 | — | 6 | 2 | no | — |
| 303 | C23×D3 | — | 6 | 6 | no | — |
| 304 | C23×D3 | — | 6 | 2 | no | — |
| 305 | C23×D3 | — | 12 | 6 | no | — |
| 306 | C23×D3 | — | 12 | 6 | no | — |
| 307 | C23×D3 | — | 12 | 2 | no | — |
| 308 | C23×D3 | — | 24 | 4 | no | — |
| 309 | C23×D3 | — | 24 | 4 | no | — |
| 310 | C3×#41 | — | 4 | 6 | no | — |
| 311 | C2×C3×D4 | — | 2 | 6 | no | — |
| 312 | C2×C3×D4 | — | 4 | 6 | no | — |
| 313 | C2×C3×D4 | — | 4 | 6 | no | — |
| 314 | C2×#67 | — | 6 | 6 | no | — |
| 315 | C2×#67 | — | 6 | 6 | no | — |
| 316 | C2×#67 | — | 12 | 6 | no | — |
| 317 | C2×#67 | — | 12 | 6 | no | — |
| 318 | C2×#67 | — | 12 | 6 | no | — |
| 319 | C2×#67 | — | 12 | 6 | no | — |
| 320 | #239 | — | 12 | 6 | no | — |
| 321 | D3×Q8 | — | 12 | 2 | no | — |
| 322 | #237 | — | 12 | 12 | no | — |
| 323 | #237 | — | 12 | 6 | no | — |
| 324 | D3×D4 | — | 12 | 12 | no | — |
| 325 | D3×D4 | — | 12 | 12 | no | — |
| 326 | D3×D4 | — | 12 | 12 | no | — |
| 327 | D3×D4 | — | 12 | 6 | no | — |
| 328 | D3×D4 | — | 12 | 12 | no | — |
| 329 | D3×D4 | — | 24 | 12 | no | — |
| 330 | D3×D4 | — | 24 | 12 | no | — |
| 331 | #235 | — | 12 | 6 | no | — |
| 332 | #235 | — | 12 | 12 | no | — |
| 333 | C2×D12 | — | 6 | 6 | no | — |
| 334 | C2×D12 | — | 12 | 6 | no | — |
| 335 | C2×D12 | — | 12 | 6 | no | — |
| 336 | C2×C4×D3 | — | 6 | 6 | no | — |
| 337 | C2×C4×D3 | — | 12 | 6 | no | — |
| 338 | C2×C4×D3 | — | 12 | 6 | no | — |
| 339 | C3×C22⋊C4 | — | 2 | 6 | no | — |
| 340 | C3×C22⋊C4 | — | 4 | 6 | no | — |
| 341 | #217 | — | 6 | 6 | no | — |
| 342 | #217 | — | 12 | 6 | no | — |
| 343 | (C2×D3)⋊C4 | — | 12 | 6 | no | — |
| 344 | (C2×D3)⋊C4 | — | 12 | 6 | no | — |
| 345 | (C2×D3)⋊C4 | — | 12 | 6 | no | — |
| 346 | C22×C32 | — | 2 | 6 | no | — |
| 347 | C22×C32 | — | 2 | 3 | no | — |
| 348 | C22×C32 | — | 4 | 1 | no | — |
| 349 | C22×C32 | — | 4 | 3 | no | — |
| 350 | C22×C32 | — | 4 | 3 | no | — |
| 351 | C22×C32 | — | 4 | 1 | no | — |
| 352 | C22×C32 | — | 8 | 1 | no | — |
| 353 | C22×C32 | C2×C4×D4 | 1 | 3 | yes | — |
| 354 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 355 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 356 | C2×C3⋊D3 | — | 2 | 6 | no | — |
| 357 | C2×C3⋊D3 | — | 2 | 3 | no | — |
| 358 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 359 | C2×C3⋊D3 | — | 4 | 6 | no | — |
| 360 | C2×C3⋊D3 | — | 4 | 6 | no | — |
| 361 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 362 | C2×C3⋊D3 | — | 4 | 1 | no | — |
| 363 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 364 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 365 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 366 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 367 | C2×C3⋊D3 | — | 4 | 3 | no | — |
| 368 | C2×C3⋊D3 | — | 8 | 3 | no | — |
| 369 | C2×C3⋊D3 | — | 8 | 3 | no | — |
| 370 | C2×C3⋊D3 | C2×#120 | 1 | 1 | yes | characteristic |
| 371 | C2×C3⋊D3 | #525 | 1 | 3 | yes | — |
| 372 | #157 | — | 2 | 3 | no | — |
| 373 | #157 | — | 4 | 2 | no | — |
| 374 | #157 | — | 4 | 3 | no | — |
| 375 | #157 | — | 4 | 3 | no | — |
| 376 | #157 | — | 8 | 3 | no | — |
| 377 | #157 | B(4,𝔽2) | 1 | 2 | yes | direct product factor |
| 378 | C32×C4 | — | 2 | 3 | no | — |
| 379 | C32×C4 | — | 4 | 3 | no | — |
| 380 | C3⋊Dic3 | — | 2 | 3 | no | — |
| 381 | C3⋊Dic3 | — | 4 | 3 | no | — |
| 382 | C25 | — | 9 | 1 | no | — |
| 383 | H(5,𝔽2) | — | 9 | 3 | no | — |
| 384 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 385 | H(5,𝔽2) | — | 18 | 3 | no | — |
| 386 | H(5,𝔽2) | C2×#157 | 1 | 1 | yes | characteristic, complemented |
| 387 | C2×#41 | — | 18 | 3 | no | — |
| 388 | C22×D4 | — | 9 | 3 | no | — |
| 389 | C22×D4 | — | 18 | 3 | no | — |
| 390 | C22×D4 | — | 18 | 3 | no | — |
| 391 | C23×C4 | — | 9 | 1 | no | — |
| 392 | C23×C4 | — | 9 | 3 | no | — |
| 393 | C23×C4 | — | 9 | 1 | no | — |
| 394 | C23×C4 | — | 18 | 3 | no | — |
| 395 | C23×C4 | — | 18 | 3 | no | — |
| 396 | C23×C4 | — | 18 | 1 | no | — |
| 397 | C23×C4 | — | 36 | 4 | no | — |
| 398 | #120 | — | 9 | 3 | no | — |
| 399 | #120 | — | 9 | 3 | no | — |
| 400 | #120 | — | 9 | 3 | no | — |
| 401 | #120 | — | 18 | 3 | no | — |
| 402 | #120 | — | 18 | 3 | no | — |
| 403 | #120 | C2×#157 | 1 | 3 | yes | complemented |
| 404 | C4×Q8 | — | 18 | 1 | no | — |
| 405 | C4×Q8 | — | 18 | 3 | no | — |
| 406 | C4×D4 | — | 18 | 6 | no | — |
| 407 | C4×D4 | — | 18 | 6 | no | — |
| 408 | C4×D4 | — | 18 | 6 | no | — |
| 409 | C4×D4 | — | 18 | 6 | no | — |
| 410 | C4×D4 | — | 18 | 3 | no | — |
| 411 | C4×D4 | — | 18 | 6 | no | — |
| 412 | C4×D4 | — | 18 | 3 | no | — |
| 413 | C4×D4 | — | 36 | 12 | no | — |
| 414 | #117 | — | 18 | 3 | no | — |
| 415 | #117 | — | 18 | 6 | no | — |
| 416 | C2×C4⋊C4 | — | 9 | 3 | no | — |
| 417 | C2×C4⋊C4 | — | 18 | 3 | no | — |
| 418 | C2×C4⋊C4 | — | 18 | 3 | no | — |
| 419 | C2×C22⋊C4 | — | 9 | 3 | no | — |
| 420 | C2×C22⋊C4 | — | 9 | 3 | no | — |
| 421 | C2×C22⋊C4 | — | 9 | 3 | no | — |
| 422 | C2×C22⋊C4 | — | 9 | 3 | no | — |
| 423 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 424 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 425 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 426 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 427 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 428 | C2×C22⋊C4 | — | 18 | 3 | no | — |
| 429 | C2×C42 | — | 9 | 3 | no | — |
| 430 | C2×C42 | — | 18 | 3 | no | — |
| 431 | C2×C42 | — | 18 | 3 | no | — |
| 432 | #99 | — | 9 | 3 | no | — |
| 433 | #99 | — | 9 | 6 | no | — |
| 434 | #99 | — | 18 | 3 | no | — |
| 435 | #99 | — | 18 | 3 | no | — |
| 436 | #99 | C2×#157 | 1 | 3 | yes | complemented |
| 437 | #95 | — | 18 | 3 | no | — |
| 438 | #95 | — | 18 | 3 | no | — |
| 439 | #95 | — | 18 | 3 | no | — |
| 440 | C23×C3 | — | 2 | 6 | no | — |
| 441 | C23×C3 | — | 2 | 2 | no | — |
| 442 | C23×C3 | — | 4 | 6 | no | — |
| 443 | C23×C3 | — | 4 | 2 | no | — |
| 444 | C23×C3 | — | 8 | 4 | no | — |
| 445 | C22×D3 | — | 6 | 6 | no | — |
| 446 | C22×D3 | — | 6 | 6 | no | — |
| 447 | C22×D3 | — | 6 | 6 | no | — |
| 448 | C22×D3 | — | 12 | 6 | no | — |
| 449 | C22×D3 | — | 12 | 6 | no | — |
| 450 | C22×D3 | — | 12 | 6 | no | — |
| 451 | C22×D3 | — | 12 | 12 | no | — |
| 452 | C22×D3 | — | 12 | 12 | no | — |
| 453 | C22×D3 | — | 12 | 6 | no | — |
| 454 | C22×D3 | — | 24 | 2 | no | — |
| 455 | C22×D3 | — | 24 | 6 | no | — |
| 456 | C22×D3 | — | 24 | 2 | no | — |
| 457 | C22×D3 | — | 24 | 2 | no | — |
| 458 | C22×D3 | — | 24 | 4 | no | — |
| 459 | C22×D3 | — | 24 | 6 | no | — |
| 460 | C22×D3 | — | 24 | 6 | no | — |
| 461 | C22×D3 | — | 24 | 12 | no | — |
| 462 | C22×D3 | — | 24 | 6 | no | — |
| 463 | C22×D3 | — | 24 | 6 | no | — |
| 464 | C22×D3 | — | 24 | 12 | no | — |
| 465 | C22×D3 | — | 48 | 2 | no | — |
| 466 | C22×D3 | — | 48 | 2 | no | — |
| 467 | C3×Q8 | — | 4 | 2 | no | — |
| 468 | C3×D4 | — | 4 | 12 | no | — |
| 469 | C3×D4 | — | 4 | 6 | no | — |
| 470 | C3×D4 | — | 8 | 12 | no | — |
| 471 | C2×C3×C4 | — | 2 | 6 | no | — |
| 472 | C2×C3×C4 | — | 4 | 6 | no | — |
| 473 | C2×C3×C4 | — | 4 | 6 | no | — |
| 474 | #67 | — | 12 | 12 | no | — |
| 475 | #67 | — | 12 | 12 | no | — |
| 476 | #67 | — | 12 | 12 | no | — |
| 477 | #67 | — | 24 | 12 | no | — |
| 478 | #67 | — | 24 | 12 | no | — |
| 479 | C2×Dic3 | — | 6 | 6 | no | — |
| 480 | C2×Dic3 | — | 12 | 6 | no | — |
| 481 | C2×Dic3 | — | 12 | 6 | no | — |
| 482 | D12 | — | 12 | 12 | no | — |
| 483 | D12 | — | 12 | 6 | no | — |
| 484 | D12 | — | 24 | 12 | no | — |
| 485 | C4×D3 | — | 12 | 6 | no | — |
| 486 | C4×D3 | — | 12 | 6 | no | — |
| 487 | C4×D3 | — | 12 | 12 | no | — |
| 488 | C4×D3 | — | 24 | 6 | no | — |
| 489 | C4×D3 | — | 24 | 6 | no | — |
| 490 | Dic6 | — | 12 | 6 | no | — |
| 491 | C2×C32 | — | 2 | 3 | no | — |
| 492 | C2×C32 | — | 4 | 2 | no | — |
| 493 | C2×C32 | — | 4 | 3 | no | — |
| 494 | C2×C32 | C4×#120 | 1 | 1 | yes | characteristic |
| 495 | C3⋊D3 | — | 2 | 3 | no | — |
| 496 | C3⋊D3 | — | 4 | 2 | no | — |
| 497 | C3⋊D3 | — | 4 | 3 | no | — |
| 498 | C3⋊D3 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 499 | C3⋊D3 | #3025 | 1 | 1 | yes | characteristic |
| 500 | C24 | — | 9 | 1 | no | — |
| 501 | C24 | — | 9 | 3 | no | — |
| 502 | C24 | — | 9 | 1 | no | — |
| 503 | C24 | — | 18 | 3 | no | — |
| 504 | C24 | — | 18 | 3 | no | — |
| 505 | C24 | — | 18 | 1 | no | — |
| 506 | C24 | — | 36 | 2 | no | — |
| 507 | C24 | — | 36 | 2 | no | — |
| 508 | C24 | C22×#157 | 1 | 1 | yes | characteristic, complemented |
| 509 | #41 | — | 2 | 3 | no | — |
| 510 | #41 | — | 18 | 6 | no | — |
| 511 | #41 | — | 18 | 6 | no | — |
| 512 | #41 | — | 18 | 3 | no | — |
| 513 | #41 | — | 18 | 3 | no | — |
| 514 | #41 | — | 18 | 3 | no | — |
| 515 | C2×Q8 | — | 18 | 1 | no | — |
| 516 | C2×D4 | — | 2 | 3 | no | — |
| 517 | C2×D4 | — | 2 | 3 | no | — |
| 518 | C2×D4 | — | 9 | 3 | no | — |
| 519 | C2×D4 | — | 9 | 3 | no | — |
| 520 | C2×D4 | — | 9 | 3 | no | — |
| 521 | C2×D4 | — | 18 | 3 | no | — |
| 522 | C2×D4 | — | 18 | 3 | no | — |
| 523 | C2×D4 | — | 18 | 6 | no | — |
| 524 | C2×D4 | — | 18 | 6 | no | — |
| 525 | C2×D4 | — | 18 | 6 | no | — |
| 526 | C2×D4 | — | 18 | 3 | no | — |
| 527 | C2×D4 | — | 18 | 6 | no | — |
| 528 | C2×D4 | — | 18 | 3 | no | — |
| 529 | C2×D4 | — | 18 | 3 | no | — |
| 530 | C2×D4 | — | 18 | 3 | no | — |
| 531 | C2×D4 | — | 18 | 3 | no | — |
| 532 | C2×D4 | — | 36 | 6 | no | — |
| 533 | C2×D4 | — | 36 | 6 | no | — |
| 534 | C2×D4 | C22×#157 | 1 | 3 | yes | — |
| 535 | C22×C4 | — | 9 | 3 | no | — |
| 536 | C22×C4 | — | 9 | 3 | no | — |
| 537 | C22×C4 | — | 9 | 3 | no | — |
| 538 | C22×C4 | — | 9 | 3 | no | — |
| 539 | C22×C4 | — | 9 | 3 | no | — |
| 540 | C22×C4 | — | 18 | 3 | no | — |
| 541 | C22×C4 | — | 18 | 3 | no | — |
| 542 | C22×C4 | — | 18 | 3 | no | — |
| 543 | C22×C4 | — | 18 | 3 | no | — |
| 544 | C22×C4 | — | 18 | 3 | no | — |
| 545 | C22×C4 | — | 18 | 12 | no | — |
| 546 | C22×C4 | — | 18 | 3 | no | — |
| 547 | C22×C4 | — | 18 | 3 | no | — |
| 548 | C22×C4 | — | 18 | 3 | no | — |
| 549 | C22×C4 | — | 36 | 1 | no | — |
| 550 | C22×C4 | — | 36 | 3 | no | — |
| 551 | C22×C4 | — | 36 | 2 | no | — |
| 552 | C22×C4 | — | 36 | 2 | no | — |
| 553 | C22×C4 | — | 36 | 6 | no | — |
| 554 | C22×C4 | — | 36 | 6 | no | — |
| 555 | C22×C4 | — | 36 | 6 | no | — |
| 556 | C22×C4 | — | 36 | 6 | no | — |
| 557 | C22×C4 | — | 72 | 2 | no | — |
| 558 | C4⋊C4 | — | 18 | 6 | no | — |
| 559 | C4⋊C4 | — | 18 | 3 | no | — |
| 560 | C4⋊C4 | — | 18 | 3 | no | — |
| 561 | C4⋊C4 | — | 36 | 6 | no | — |
| 562 | C22⋊C4 | — | 2 | 3 | no | — |
| 563 | C22⋊C4 | — | 9 | 3 | no | — |
| 564 | C22⋊C4 | — | 18 | 3 | no | — |
| 565 | C22⋊C4 | — | 18 | 3 | no | — |
| 566 | C22⋊C4 | — | 18 | 3 | no | — |
| 567 | C22⋊C4 | — | 18 | 6 | no | — |
| 568 | C22⋊C4 | — | 18 | 6 | no | — |
| 569 | C22⋊C4 | — | 18 | 6 | no | — |
| 570 | C22⋊C4 | — | 18 | 3 | no | — |
| 571 | C22⋊C4 | — | 18 | 6 | no | — |
| 572 | C22⋊C4 | — | 36 | 6 | no | — |
| 573 | C22⋊C4 | — | 36 | 6 | no | — |
| 574 | C22⋊C4 | — | 36 | 6 | no | — |
| 575 | C22⋊C4 | C22×#157 | 1 | 3 | yes | complemented |
| 576 | C42 | — | 18 | 3 | no | — |
| 577 | C42 | — | 18 | 3 | no | — |
| 578 | C42 | — | 18 | 6 | no | — |
| 579 | C42 | — | 36 | 6 | no | — |
| 580 | C22×C3 | — | 2 | 6 | no | — |
| 581 | C22×C3 | — | 4 | 6 | no | — |
| 582 | C22×C3 | — | 4 | 12 | no | — |
| 583 | C22×C3 | — | 8 | 2 | no | — |
| 584 | C22×C3 | — | 8 | 2 | no | — |
| 585 | C22×C3 | — | 8 | 6 | no | — |
| 586 | C22×C3 | — | 8 | 6 | no | — |
| 587 | C22×C3 | — | 16 | 2 | no | — |
| 588 | C2×D3 | — | 6 | 2 | no | — |
| 589 | C2×D3 | — | 6 | 6 | no | — |
| 590 | C2×D3 | — | 12 | 6 | no | — |
| 591 | C2×D3 | — | 12 | 6 | no | — |
| 592 | C2×D3 | — | 12 | 6 | no | — |
| 593 | C2×D3 | — | 12 | 12 | no | — |
| 594 | C2×D3 | — | 24 | 4 | no | — |
| 595 | C2×D3 | — | 24 | 4 | no | — |
| 596 | C2×D3 | — | 24 | 6 | no | — |
| 597 | C2×D3 | — | 24 | 6 | no | — |
| 598 | C2×D3 | — | 24 | 6 | no | — |
| 599 | C2×D3 | — | 24 | 12 | no | — |
| 600 | C2×D3 | — | 24 | 12 | no | — |
| 601 | C2×D3 | — | 24 | 2 | no | — |
| 602 | C2×D3 | — | 24 | 6 | no | — |
| 603 | C2×D3 | — | 24 | 6 | no | — |
| 604 | C2×D3 | — | 48 | 6 | no | — |
| 605 | C2×D3 | — | 48 | 6 | no | — |
| 606 | C3×C4 | — | 4 | 6 | no | — |
| 607 | C3×C4 | — | 8 | 6 | no | — |
| 608 | Dic3 | — | 12 | 6 | no | — |
| 609 | Dic3 | — | 24 | 6 | no | — |
| 610 | C32 | C4×B(4,𝔽2) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 611 | C23 | — | 2 | 1 | no | — |
| 612 | C23 | — | 2 | 3 | no | — |
| 613 | C23 | — | 4 | 2 | no | — |
| 614 | C23 | — | 9 | 3 | no | — |
| 615 | C23 | — | 9 | 3 | no | — |
| 616 | C23 | — | 9 | 3 | no | — |
| 617 | C23 | — | 18 | 3 | no | — |
| 618 | C23 | — | 18 | 3 | no | — |
| 619 | C23 | — | 18 | 6 | no | — |
| 620 | C23 | — | 18 | 6 | no | — |
| 621 | C23 | — | 18 | 3 | no | — |
| 622 | C23 | — | 18 | 3 | no | — |
| 623 | C23 | — | 36 | 6 | no | — |
| 624 | C23 | — | 36 | 1 | no | — |
| 625 | C23 | — | 36 | 3 | no | — |
| 626 | C23 | — | 36 | 1 | no | — |
| 627 | C23 | — | 36 | 1 | no | — |
| 628 | C23 | — | 36 | 2 | no | — |
| 629 | C23 | — | 36 | 3 | no | — |
| 630 | C23 | — | 36 | 3 | no | — |
| 631 | C23 | — | 36 | 6 | no | — |
| 632 | C23 | — | 36 | 3 | no | — |
| 633 | C23 | — | 36 | 3 | no | — |
| 634 | C23 | — | 72 | 1 | no | — |
| 635 | C23 | — | 72 | 1 | no | — |
| 636 | C23 | D4×#157 | 1 | 3 | yes | complemented |
| 637 | C23 | C23×#157 | 1 | 1 | yes | characteristic |
| 638 | Q8 | — | 2 | 1 | no | — |
| 639 | Q8 | — | 18 | 3 | no | — |
| 640 | D4 | — | 2 | 3 | no | — |
| 641 | D4 | — | 2 | 6 | no | — |
| 642 | D4 | — | 4 | 6 | no | — |
| 643 | D4 | — | 18 | 6 | no | — |
| 644 | D4 | — | 18 | 3 | no | — |
| 645 | D4 | — | 18 | 6 | no | — |
| 646 | D4 | — | 18 | 6 | no | — |
| 647 | D4 | — | 18 | 6 | no | — |
| 648 | D4 | — | 36 | 6 | no | — |
| 649 | D4 | — | 36 | 6 | no | — |
| 650 | D4 | — | 36 | 6 | no | — |
| 651 | C2×C4 | — | 2 | 3 | no | — |
| 652 | C2×C4 | — | 2 | 3 | no | — |
| 653 | C2×C4 | — | 9 | 1 | no | — |
| 654 | C2×C4 | — | 9 | 3 | no | — |
| 655 | C2×C4 | — | 9 | 3 | no | — |
| 656 | C2×C4 | — | 18 | 3 | no | — |
| 657 | C2×C4 | — | 18 | 3 | no | — |
| 658 | C2×C4 | — | 18 | 6 | no | — |
| 659 | C2×C4 | — | 18 | 6 | no | — |
| 660 | C2×C4 | — | 18 | 3 | no | — |
| 661 | C2×C4 | — | 18 | 3 | no | — |
| 662 | C2×C4 | — | 18 | 3 | no | — |
| 663 | C2×C4 | — | 18 | 6 | no | — |
| 664 | C2×C4 | — | 18 | 3 | no | — |
| 665 | C2×C4 | — | 36 | 3 | no | — |
| 666 | C2×C4 | — | 36 | 3 | no | — |
| 667 | C2×C4 | — | 36 | 4 | no | — |
| 668 | C2×C4 | — | 36 | 6 | no | — |
| 669 | C2×C4 | — | 36 | 3 | no | — |
| 670 | C2×C4 | — | 36 | 12 | no | — |
| 671 | C2×C4 | — | 36 | 1 | no | — |
| 672 | C2×C4 | — | 36 | 3 | no | — |
| 673 | C2×C4 | — | 36 | 3 | no | — |
| 674 | C2×C4 | — | 36 | 3 | no | — |
| 675 | C2×C4 | — | 36 | 3 | no | — |
| 676 | C2×C4 | — | 36 | 3 | no | — |
| 677 | C2×C4 | — | 36 | 3 | no | — |
| 678 | C2×C4 | — | 72 | 3 | no | — |
| 679 | C2×C4 | — | 72 | 3 | no | — |
| 680 | C2×C4 | — | 72 | 3 | no | — |
| 681 | C2×C4 | D4×#157 | 1 | 3 | yes | complemented |
| 682 | C2×C3 | — | 2 | 2 | no | — |
| 683 | C2×C3 | — | 4 | 6 | no | — |
| 684 | C2×C3 | — | 8 | 4 | no | — |
| 685 | C2×C3 | — | 8 | 6 | no | — |
| 686 | D3 | — | 6 | 2 | no | — |
| 687 | D3 | — | 6 | 2 | no | — |
| 688 | D3 | — | 12 | 6 | no | — |
| 689 | D3 | — | 24 | 4 | no | — |
| 690 | D3 | — | 24 | 6 | no | — |
| 691 | C22 | — | 2 | 6 | no | — |
| 692 | C22 | — | 2 | 3 | no | — |
| 693 | C22 | — | 4 | 1 | no | — |
| 694 | C22 | — | 4 | 3 | no | — |
| 695 | C22 | — | 4 | 3 | no | — |
| 696 | C22 | — | 4 | 1 | no | — |
| 697 | C22 | — | 8 | 1 | no | — |
| 698 | C22 | — | 9 | 1 | no | — |
| 699 | C22 | — | 9 | 3 | no | — |
| 700 | C22 | — | 18 | 3 | no | — |
| 701 | C22 | — | 18 | 3 | no | — |
| 702 | C22 | — | 18 | 6 | no | — |
| 703 | C22 | — | 18 | 3 | no | — |
| 704 | C22 | — | 36 | 3 | no | — |
| 705 | C22 | — | 36 | 3 | no | — |
| 706 | C22 | — | 36 | 3 | no | — |
| 707 | C22 | — | 36 | 2 | no | — |
| 708 | C22 | — | 36 | 3 | no | — |
| 709 | C22 | — | 36 | 3 | no | — |
| 710 | C22 | — | 36 | 2 | no | — |
| 711 | C22 | — | 36 | 6 | no | — |
| 712 | C22 | — | 36 | 6 | no | — |
| 713 | C22 | — | 36 | 1 | no | — |
| 714 | C22 | — | 72 | 3 | no | — |
| 715 | C22 | — | 72 | 3 | no | — |
| 716 | C22 | C2×D4×#157 | 1 | 3 | yes | — |
| 717 | C4 | — | 2 | 3 | no | — |
| 718 | C4 | — | 4 | 3 | no | — |
| 719 | C4 | — | 9 | 2 | no | — |
| 720 | C4 | — | 18 | 3 | no | — |
| 721 | C4 | — | 18 | 3 | no | — |
| 722 | C4 | — | 36 | 3 | no | — |
| 723 | C4 | — | 36 | 2 | no | — |
| 724 | C4 | — | 36 | 3 | no | — |
| 725 | C4 | — | 36 | 3 | no | — |
| 726 | C4 | — | 72 | 3 | no | — |
| 727 | C3 | — | 2 | 2 | no | — |
| 728 | C2 | — | 2 | 3 | no | — |
| 729 | C2 | — | 4 | 2 | no | — |
| 730 | C2 | — | 4 | 3 | no | — |
| 731 | C2 | — | 9 | 1 | no | — |
| 732 | C2 | — | 9 | 1 | no | — |
| 733 | C2 | — | 18 | 3 | no | — |
| 734 | C2 | — | 36 | 2 | no | — |
| 735 | C2 | — | 36 | 3 | no | — |
| 736 | C2 | #120×#157 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. H(5,𝔽2)×#157 | C2 | semidirect |
| 3. #120×#157 | C2 | semidirect |
| 4. #11787935 | C2 | semidirect |
| 5. #11787071 | C2 | semidirect |
| 6. #11784820 | C2 | semidirect |
| 7. #99×#157 | C2 | semidirect |
| 8. C24×#157 | C22 | semidirect |
| 18. #10593847 | C22 | semidirect |
| 23. #10593746 | C22 | semidirect |
| 25. C22⋊C4×#157 | C22 | semidirect |
| 26. C32×B(4,𝔽2) | C4 | semidirect |
| 27. #10592943 | C4 | semidirect |
| 28. #10592731 | C4 | semidirect |
| 30. #10592440 | C4 | semidirect |
| 31. #10590155 | C22 | semidirect |
| 38. C23×#157 | D4 | semidirect |
| 41. C32×H(5,𝔽2) | C2×C4 | semidirect |
| 45. #64361 | C2×C4 | semidirect |
| 54. C2×C22⋊#157 | D4 | semidirect |
| 71. C2×C4⋊#157 | D4 | semidirect |
| 74. C2×C4×#157 | D4 | semidirect |
| 75. C32×#120 | C2×C4 | semidirect |
| 76. #64162 | C2×C4 | semidirect |
| 78. #64146 | C2×C4 | semidirect |
| 80. #64091 | C2×C4 | semidirect |
| 88. C32×#99 | C2×C4 | semidirect |
| 89. #63661 | C2×C4 | semidirect |
| 90. #63633 | C2×C4 | semidirect |
| 99. C24×C32 | C22×C4 | semidirect |
| 105. C23×C3⋊D3 | C22×C4 | semidirect |
| 173. C32×C22⋊C4 | C22×C4 | semidirect |
| 175. #3757 | C22×C4 | semidirect |
| 209. C23×C32 | C4×D4 | semidirect |
| 230. C22×C3⋊D3 | C4×D4 | semidirect |
| 259. C2×C32×C4 | C4×D4 | semidirect |
| 267. C2×C3⋊Dic3 | C4×D4 | semidirect |
| 290. B(4,𝔽2) | #157 | direct (N × H) |
| 377. #157 | B(4,𝔽2) | direct (N × H) |
| 386. H(5,𝔽2) | C2×#157 | semidirect |
| 403. #120 | C2×#157 | semidirect |
| 436. #99 | C2×#157 | semidirect |
| 508. C24 | C22×#157 | semidirect |
| 575. C22⋊C4 | C22×#157 | semidirect |
| 610. C32 | C4×B(4,𝔽2) | semidirect |
| 636. C23 | D4×#157 | semidirect |
| 681. C2×C4 | D4×#157 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| H(5,𝔽2)×#157 | 2 |
| C3⋊D3×B(4,𝔽2) | 2 |
| #120×#157 | 2 |
| #11787935 | 2 |
| #11787071 | 2 |
| #11784820 | 2 |
| #99×#157 | 2 |
| C4×B(4,𝔽2) | 9 |