← #72338101
Subgroups — #72338101
Order 8192.
Only the 764 normal subgroups are shown; non-normal subgroups are omitted.
The subgroup lattice has 337 nodes (normal subgroups only) — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72337729 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72337587 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72337573 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72337209 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #72337208 | C4 | 1 | 2 | yes | complemented |
| 6 | #72337207 | C4 | 1 | 2 | yes | complemented |
| 7 | #72337182 | C22 | 1 | 2 | yes | — |
| 8 | #72337181 | D4 | 1 | 4 | yes | — |
| 9 | #72337180 | C4 | 1 | 2 | yes | complemented |
| 10 | #72337178 | C2×C4 | 1 | 2 | yes | — |
| 11 | #72337171 | D4 | 1 | 4 | yes | — |
| 12 | #72334286 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #72327408 | C4 | 1 | 2 | yes | complemented |
| 14 | #72327288 | C22 | 1 | 2 | yes | — |
| 15 | #72327248 | D4 | 1 | 2 | yes | — |
| 16 | #72327244 | D4 | 1 | 2 | yes | — |
| 17 | #72327231 | D4 | 1 | 2 | yes | — |
| 18 | #72326786 | D4 | 1 | 2 | yes | — |
| 19 | #72322450 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #72321756 | C22 | 1 | 2 | yes | complemented |
| 21 | #72318802 | D4 | 1 | 4 | yes | — |
| 22 | #72318215 | D4 | 1 | 2 | yes | — |
| 23 | #72309339 | C2×C4 | 1 | 2 | yes | — |
| 24 | #72309335 | C2×C4 | 1 | 2 | yes | — |
| 25 | #72304249 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 26 | #72302685 | C22 | 1 | 2 | yes | complemented |
| 27 | #72302047 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #72302019 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #72283093 | C2×C4 | 1 | 2 | yes | — |
| 30 | #72262263 | C2 | 1 | 2 | yes | maximal, complemented |
| 31 | #72240433 | D4 | 1 | 4 | yes | — |
| 32 | #72237771 | C22 | 1 | 2 | yes | complemented |
| 33 | #72237770 | C22 | 1 | 4 | yes | complemented |
| 34 | #72237770 | C22 | 1 | 4 | yes | complemented |
| 35 | #72237630 | C22 | 1 | 2 | yes | complemented |
| 36 | #72234688 | C22 | 1 | 2 | yes | complemented |
| 37 | #72227421 | C2×C4 | 1 | 2 | yes | — |
| 38 | #72226352 | C22 | 1 | 4 | yes | complemented |
| 39 | #72226352 | C22 | 1 | 4 | yes | complemented |
| 40 | #72225873 | C23 | 1 | 4 | yes | — |
| 41 | #72225776 | C23 | 1 | 2 | yes | — |
| 42 | #72225776 | C23 | 1 | 2 | yes | — |
| 43 | #72225738 | C22 | 1 | 1 | yes | characteristic |
| 44 | #72225736 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | #72225735 | C2×C4 | 1 | 1 | yes | characteristic |
| 46 | #72225733 | C23 | 1 | 2 | yes | — |
| 47 | #72225732 | D4 | 1 | 4 | yes | — |
| 48 | #72225713 | D4 | 1 | 2 | yes | — |
| 49 | #72225666 | C22 | 1 | 1 | yes | characteristic |
| 50 | #72225660 | D4 | 1 | 2 | yes | — |
| 51 | #72225658 | C23 | 1 | 1 | yes | characteristic |
| 52 | #72225657 | C2×C4 | 1 | 2 | yes | — |
| 53 | #72225655 | C23 | 1 | 1 | yes | characteristic |
| 54 | #72225654 | D4 | 1 | 4 | yes | — |
| 55 | #72224136 | D4 | 1 | 2 | yes | — |
| 56 | #72219301 | D4 | 1 | 2 | yes | — |
| 57 | C2×#72217546 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#417744 | C2×C4 | 1 | 2 | yes | — |
| 59 | C2×#417493 | D4 | 1 | 4 | yes | — |
| 60 | C2×#374022 | C2×C4 | 1 | 1 | yes | characteristic |
| 61 | C2×#359428 | D4 | 1 | 2 | yes | — |
| 62 | C2×#7670203 | C23 | 1 | 1 | yes | characteristic |
| 63 | #72218920 | C2×C4 | 1 | 2 | yes | — |
| 64 | C23×#2846 | D4 | 1 | 2 | yes | — |
| 65 | #72217730 | C2×C4 | 1 | 2 | yes | — |
| 66 | #72217730 | C2×C4 | 1 | 2 | yes | — |
| 67 | #72217643 | C2×C4 | 1 | 2 | yes | — |
| 68 | #72217643 | C2×C4 | 1 | 2 | yes | — |
| 69 | C2×#449475 | C23 | 1 | 2 | yes | — |
| 70 | #72216646 | D4 | 1 | 2 | yes | — |
| 71 | #72216064 | D4 | 1 | 2 | yes | — |
| 72 | C2×#6342371 | C2×C4 | 1 | 1 | yes | characteristic |
| 73 | #72210024 | D4 | 1 | 2 | yes | — |
| 74 | C29 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 75 | #10586404 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 76 | #10586066 | C2×D4 | 1 | 1 | yes | characteristic |
| 77 | C22×#3484 | C2×D4 | 1 | 2 | yes | — |
| 78 | C24×#120 | C2×D4 | 1 | 2 | yes | — |
| 79 | #8093108 | C22⋊C4 | 1 | 2 | yes | complemented |
| 80 | #8093107 | C22⋊C4 | 1 | 2 | yes | complemented |
| 81 | #7670230 | C22⋊C4 | 1 | 2 | yes | complemented |
| 82 | #7670203 | C22⋊C4 | 1 | 2 | yes | complemented |
| 83 | #7642273 | C22×C4 | 1 | 2 | yes | — |
| 84 | #7642244 | C22×C4 | 1 | 2 | yes | — |
| 85 | C22×#2846 | C22⋊C4 | 1 | 4 | yes | complemented |
| 86 | C22×#2846 | C22×C4 | 1 | 2 | yes | — |
| 87 | C22×#2846 | C22×C4 | 1 | 1 | yes | characteristic |
| 88 | C22×#2846 | C2×D4 | 1 | 4 | yes | — |
| 89 | C2×#35390 | C22×C4 | 1 | 1 | yes | characteristic |
| 90 | C2×#35348 | C2×D4 | 1 | 2 | yes | — |
| 91 | C2×#35346 | C24 | 1 | 1 | yes | characteristic |
| 92 | C2×#34981 | C2×D4 | 1 | 2 | yes | — |
| 93 | C2×#34980 | C2×D4 | 1 | 2 | yes | — |
| 94 | C2×#34198 | C2×D4 | 1 | 2 | yes | — |
| 95 | C23×#379 | C22⋊C4 | 1 | 2 | yes | complemented |
| 96 | #6629262 | C2×D4 | 1 | 2 | yes | — |
| 97 | #6628896 | C2×D4 | 1 | 2 | yes | — |
| 98 | #6451874 | C2×D4 | 1 | 4 | yes | — |
| 99 | C2×#23984 | C22⋊C4 | 1 | 4 | yes | complemented |
| 100 | #6437621 | C22⋊C4 | 1 | 4 | yes | — |
| 101 | C2×#23900 | C22⋊C4 | 1 | 4 | yes | — |
| 102 | #6432953 | C2×D4 | 1 | 2 | yes | — |
| 103 | #6432953 | C2×D4 | 1 | 2 | yes | — |
| 104 | #6374251 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 105 | #6374210 | C2×D4 | 1 | 2 | yes | — |
| 106 | #6374128 | C22⋊C4 | 1 | 2 | yes | complemented |
| 107 | #6372488 | C22⋊C4 | 1 | 2 | yes | complemented |
| 108 | #6370693 | C2×D4 | 1 | 2 | yes | — |
| 109 | #6370693 | C2×D4 | 1 | 1 | yes | characteristic |
| 110 | C2×#14679 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 111 | C2×#14679 | C22⋊C4 | 1 | 2 | yes | complemented |
| 112 | #479829 | C22⋊C4 | 1 | 4 | yes | complemented |
| 113 | #478249 | C22⋊C4 | 1 | 4 | yes | complemented |
| 114 | #449521 | C22⋊C4 | 1 | 2 | yes | complemented |
| 115 | #449521 | C22⋊C4 | 1 | 2 | yes | complemented |
| 116 | #449475 | C22⋊C4 | 1 | 2 | yes | complemented |
| 117 | #449475 | C22⋊C4 | 1 | 2 | yes | complemented |
| 118 | #449475 | C2×D4 | 1 | 2 | yes | — |
| 119 | #449475 | C2×D4 | 1 | 4 | yes | — |
| 120 | #449475 | C2×D4 | 1 | 4 | yes | — |
| 121 | #449475 | C2×D4 | 1 | 2 | yes | — |
| 122 | #449475 | C2×D4 | 1 | 2 | yes | — |
| 123 | #449475 | C2×D4 | 1 | 2 | yes | — |
| 124 | #418213 | C22⋊C4 | 1 | 2 | yes | complemented |
| 125 | #418132 | C22⋊C4 | 1 | 2 | yes | complemented |
| 126 | #417896 | C22⋊C4 | 1 | 2 | yes | complemented |
| 127 | #417896 | C2×D4 | 1 | 2 | yes | — |
| 128 | #417896 | C2×D4 | 1 | 4 | yes | — |
| 129 | #417896 | C2×D4 | 1 | 2 | yes | — |
| 130 | #417890 | C22⋊C4 | 1 | 2 | yes | complemented |
| 131 | #417890 | C22⋊C4 | 1 | 2 | yes | complemented |
| 132 | #417824 | C22⋊C4 | 1 | 2 | yes | complemented |
| 133 | #417824 | C2×D4 | 1 | 4 | yes | — |
| 134 | #417824 | C2×D4 | 1 | 2 | yes | — |
| 135 | #417824 | C2×D4 | 1 | 2 | yes | — |
| 136 | #417744 | C22⋊C4 | 1 | 2 | yes | complemented |
| 137 | #417744 | C22⋊C4 | 1 | 2 | yes | complemented |
| 138 | #392368 | C22⋊C4 | 1 | 2 | yes | complemented |
| 139 | #391735 | C22⋊C4 | 1 | 2 | yes | complemented |
| 140 | #391709 | C22⋊C4 | 1 | 2 | yes | complemented |
| 141 | #391692 | C22⋊C4 | 1 | 4 | yes | complemented |
| 142 | #387715 | C22⋊C4 | 1 | 4 | yes | complemented |
| 143 | #386017 | C22⋊C4 | 1 | 4 | yes | complemented |
| 144 | #382707 | C2×D4 | 1 | 2 | yes | — |
| 145 | #382422 | C22×C4 | 1 | 2 | yes | — |
| 146 | #382422 | C22×C4 | 1 | 2 | yes | — |
| 147 | #379806 | C2×D4 | 1 | 4 | yes | — |
| 148 | #379806 | C2×D4 | 1 | 4 | yes | — |
| 149 | #375666 | C22⋊C4 | 1 | 2 | yes | complemented |
| 150 | #374022 | C22⋊C4 | 1 | 4 | yes | complemented |
| 151 | #374004 | C22⋊C4 | 1 | 2 | yes | complemented |
| 152 | #359756 | C22⋊C4 | 1 | 4 | yes | complemented |
| 153 | #359705 | C2×D4 | 1 | 4 | yes | — |
| 154 | #359501 | C22⋊C4 | 1 | 4 | yes | — |
| 155 | #359442 | C22⋊C4 | 1 | 4 | yes | — |
| 156 | C2×#11196 | C22⋊C4 | 1 | 2 | yes | complemented |
| 157 | C2×#10965 | C22⋊C4 | 1 | 4 | yes | complemented |
| 158 | C2×#10965 | C22×C4 | 1 | 2 | yes | — |
| 159 | C2×#10965 | C2×D4 | 1 | 4 | yes | — |
| 160 | C28 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 161 | C28 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 162 | C2×H(7,𝔽2) | #120 | 1 | 1 | yes | characteristic |
| 163 | C23×H(5,𝔽2) | C22×D4 | 1 | 1 | yes | characteristic |
| 164 | C25×D4 | #120 | 1 | 2 | yes | — |
| 165 | #62842 | #120 | 1 | 2 | yes | — |
| 166 | C2×#3490 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 167 | C2×#3484 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 168 | C22×#534 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 169 | C22×#534 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 170 | C22×#534 | #120 | 1 | 2 | yes | — |
| 171 | C23×#120 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 172 | C23×#120 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 173 | C23×#120 | #120 | 1 | 2 | yes | — |
| 174 | C23×#120 | #120 | 1 | 2 | yes | — |
| 175 | C23×#120 | C23×C4 | 1 | 1 | yes | characteristic |
| 176 | C23×#120 | C22×D4 | 1 | 2 | yes | — |
| 177 | #62652 | #120 | 1 | 1 | yes | characteristic |
| 178 | C22×#518 | #120 | 1 | 2 | yes | — |
| 179 | C24×C22⋊C4 | #120 | 1 | 2 | yes | — |
| 180 | C2×#2883 | #120 | 1 | 2 | yes | — |
| 181 | C2×#2883 | #120 | 1 | 2 | yes | — |
| 182 | C2×#2846 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 183 | C2×#2846 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 184 | C2×#2846 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 185 | C2×#2846 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 186 | C2×#2846 | #120 | 1 | 4 | yes | — |
| 187 | C2×#2846 | #120 | 1 | 4 | yes | — |
| 188 | C2×#2846 | #120 | 1 | 4 | yes | — |
| 189 | C2×#2846 | #120 | 1 | 4 | yes | — |
| 190 | #35390 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 191 | #35390 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 192 | #35367 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 193 | #35367 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 194 | #35350 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 195 | #35350 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 196 | #35346 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 197 | #35346 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 198 | #35346 | C22×D4 | 1 | 2 | yes | — |
| 199 | #35346 | C22×D4 | 1 | 4 | yes | — |
| 200 | #35346 | C22×D4 | 1 | 2 | yes | — |
| 201 | #34176 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 202 | #34171 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 203 | C2×#2315 | #120 | 1 | 2 | yes | — |
| 204 | C2×#2308 | #120 | 1 | 2 | yes | — |
| 205 | C2×#2308 | C22×D4 | 1 | 1 | yes | characteristic |
| 206 | C2×#2308 | C22×D4 | 1 | 2 | yes | — |
| 207 | C22×#379 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 208 | C22×#379 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 209 | C22×#379 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 210 | C22×#379 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 211 | C2×#2273 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 212 | #23468 | #120 | 1 | 4 | yes | — |
| 213 | #23468 | #120 | 1 | 4 | yes | — |
| 214 | #23444 | #120 | 1 | 4 | yes | — |
| 215 | #23444 | #120 | 1 | 4 | yes | — |
| 216 | #20689 | #120 | 1 | 2 | yes | — |
| 217 | #20689 | #120 | 1 | 2 | yes | — |
| 218 | C2×#1819 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 219 | #20585 | #120 | 1 | 2 | yes | — |
| 220 | #20585 | #120 | 1 | 2 | yes | — |
| 221 | #20585 | #120 | 1 | 2 | yes | — |
| 222 | #20585 | #120 | 1 | 1 | yes | characteristic |
| 223 | #20585 | #120 | 1 | 1 | yes | characteristic |
| 224 | #20585 | #120 | 1 | 4 | yes | — |
| 225 | C2×#1781 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 226 | #11166 | #120 | 1 | 2 | yes | — |
| 227 | #11166 | #120 | 1 | 4 | yes | — |
| 228 | #11166 | #120 | 1 | 2 | yes | — |
| 229 | #10965 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 230 | #10965 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 231 | #10965 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 232 | #10965 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 233 | #10965 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 234 | #10965 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 235 | #10965 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 236 | #10965 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 237 | #10965 | C2×C22⋊C4 | 1 | 4 | yes | — |
| 238 | #10965 | #120 | 1 | 4 | yes | — |
| 239 | #10965 | #120 | 1 | 4 | yes | — |
| 240 | #10965 | #120 | 1 | 4 | yes | — |
| 241 | #10965 | #120 | 1 | 4 | yes | — |
| 242 | #10938 | #120 | 1 | 4 | yes | — |
| 243 | #10938 | #120 | 1 | 4 | yes | — |
| 244 | #10938 | #120 | 1 | 4 | yes | — |
| 245 | #10938 | #120 | 1 | 4 | yes | — |
| 246 | C27 | #379 | 1 | 2 | yes | — |
| 247 | C27 | #379 | 1 | 2 | yes | — |
| 248 | C27 | #379 | 1 | 2 | yes | — |
| 249 | C27 | B(4,𝔽2) | 1 | 2 | yes | — |
| 250 | C27 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 251 | C22×H(5,𝔽2) | #379 | 1 | 2 | yes | — |
| 252 | C22×H(5,𝔽2) | C2×#120 | 1 | 1 | yes | characteristic |
| 253 | C22×H(5,𝔽2) | C2×#120 | 1 | 1 | yes | characteristic |
| 254 | C22×H(5,𝔽2) | C2×#120 | 1 | 2 | yes | — |
| 255 | C24×D4 | #379 | 1 | 2 | yes | — |
| 256 | C24×D4 | B(4,𝔽2) | 1 | 2 | yes | — |
| 257 | C24×D4 | #458 | 1 | 2 | yes | — |
| 258 | C24×D4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 259 | C24×D4 | C2×#120 | 1 | 2 | yes | — |
| 260 | C25×C4 | #458 | 1 | 2 | yes | — |
| 261 | C2×#543 | #379 | 1 | 2 | yes | — |
| 262 | C2×#534 | #379 | 1 | 2 | yes | — |
| 263 | C22×#120 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 264 | C22×#120 | C22×C22⋊C4 | 1 | 2 | yes | — |
| 265 | C22×#120 | C2×#120 | 1 | 4 | yes | — |
| 266 | C22×#120 | C2×#120 | 1 | 4 | yes | — |
| 267 | C2×#518 | #379 | 1 | 2 | yes | — |
| 268 | C23×C22⋊C4 | #379 | 1 | 2 | yes | — |
| 269 | C23×C22⋊C4 | #379 | 1 | 2 | yes | — |
| 270 | C23×C22⋊C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 271 | C23×C22⋊C4 | C2×#120 | 1 | 2 | yes | — |
| 272 | C22×#99 | #379 | 1 | 4 | yes | — |
| 273 | C22×#99 | #379 | 1 | 4 | yes | — |
| 274 | #2308 | #379 | 1 | 2 | yes | — |
| 275 | #2308 | #379 | 1 | 2 | yes | — |
| 276 | #2308 | C2×#120 | 1 | 2 | yes | — |
| 277 | #2308 | C2×#120 | 1 | 2 | yes | — |
| 278 | #2308 | C2×#120 | 1 | 4 | yes | — |
| 279 | #2308 | C2×#120 | 1 | 4 | yes | — |
| 280 | C2×#379 | #379 | 1 | 2 | yes | — |
| 281 | C2×#379 | #379 | 1 | 2 | yes | — |
| 282 | C2×#379 | #379 | 1 | 4 | yes | — |
| 283 | C2×#379 | #379 | 1 | 4 | yes | — |
| 284 | #2273 | #379 | 1 | 2 | yes | — |
| 285 | #2273 | #379 | 1 | 2 | yes | — |
| 286 | C2×#342 | #379 | 1 | 4 | yes | — |
| 287 | C2×#342 | #379 | 1 | 4 | yes | — |
| 288 | C26 | #1790 | 1 | 2 | yes | — |
| 289 | C26 | #1790 | 1 | 2 | yes | — |
| 290 | C26 | #1790 | 1 | 2 | yes | — |
| 291 | C26 | C2×#379 | 1 | 2 | yes | — |
| 292 | C26 | C2×#379 | 1 | 1 | yes | characteristic |
| 293 | C26 | #2883 | 1 | 1 | yes | characteristic |
| 294 | C26 | C2×B(4,𝔽2) | 1 | 2 | yes | — |
| 295 | C23×D4 | C2×#379 | 1 | 1 | yes | characteristic |
| 296 | C23×D4 | C2×#379 | 1 | 1 | yes | characteristic |
| 297 | C23×D4 | #2846 | 1 | 2 | yes | — |
| 298 | C23×D4 | #2846 | 1 | 2 | yes | — |
| 299 | C23×D4 | #2883 | 1 | 1 | yes | characteristic |
| 300 | C23×D4 | #2883 | 1 | 1 | yes | characteristic |
| 301 | C23×D4 | #3026 | 1 | 2 | yes | — |
| 302 | C23×D4 | #3026 | 1 | 2 | yes | — |
| 303 | C24×C4 | #1790 | 1 | 2 | yes | — |
| 304 | C24×C4 | #2883 | 1 | 1 | yes | characteristic |
| 305 | C24×C4 | C2×#458 | 1 | 2 | yes | — |
| 306 | C22×C22⋊C4 | C2×#379 | 1 | 2 | yes | — |
| 307 | C22×C22⋊C4 | #2846 | 1 | 4 | yes | — |
| 308 | C25 | #14679 | 1 | 1 | yes | characteristic |
| 309 | C25 | #20585 | 1 | 1 | yes | characteristic |
| 310 | C25 | #20585 | 1 | 1 | yes | characteristic |
| 311 | C25 | #20585 | 1 | 1 | yes | characteristic |
| 312 | C25 | #20586 | 1 | 1 | yes | characteristic |
| 313 | C25 | C2×#1790 | 1 | 2 | yes | — |
| 314 | C25 | #20609 | 1 | 2 | yes | — |
| 315 | C25 | #32898 | 1 | 2 | yes | — |
| 316 | C25 | #32898 | 1 | 2 | yes | — |
| 317 | C23×C4 | #20585 | 1 | 1 | yes | characteristic |
| 318 | C23×C4 | #20586 | 1 | 1 | yes | characteristic |
| 319 | C23×C4 | #32900 | 1 | 2 | yes | — |
| 320 | C23×C4 | #32900 | 1 | 2 | yes | — |
| 321 | C24 | #187934 | 1 | 2 | yes | — |
| 322 | C24 | #187940 | 1 | 1 | yes | characteristic |
| 323 | C24 | #187949 | 1 | 1 | yes | characteristic |
| 324 | C24 | #392111 | 1 | 1 | yes | characteristic |
| 325 | C24 | #392125 | 1 | 2 | yes | — |
| 326 | C24 | #493474 | 1 | 4 | yes | — |
| 327 | C24 | #511790 | 1 | 4 | yes | — |
| 328 | C23 | #72218475 | 1 | 2 | yes | — |
| 329 | C23 | #72219393 | 1 | 2 | yes | — |
| 330 | C23 | #72225624 | 1 | 1 | yes | characteristic |
| 331 | C23 | #72237472 | 1 | 2 | yes | — |
| 332 | C23 | #72256144 | 1 | 4 | yes | — |
| 333 | C22 | #72265776 | 1 | 2 | yes | — |
| 334 | C22 | #72265984 | 1 | 1 | yes | characteristic |
| 335 | C2 | #72266724 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta