Finite Group DatabasebetaFinite Group DatabasebetaOrder 21248.
1284 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 1284 conjugacy classes of subgroups — too many to draw. Only its 155 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 | C2×#19128443 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#19127876 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×#19127873 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #24909481 | C2 | 1 | 8 | yes | maximal, direct product factor |
| 5 | C2×#19127497 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C2×#355×C83 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×#14581840 | C22 | 1 | 1 | yes | characteristic, complemented |
| 8 | C2×#14581820 | — | 2 | 2 | no | — |
| 9 | C2×#14581818 | — | 2 | 1 | no | — |
| 10 | #19128443 | — | 2 | 2 | no | — |
| 11 | #19128443 | — | 2 | 4 | no | — |
| 12 | #19128443 | C22 | 1 | 4 | yes | complemented |
| 13 | C2×#14581781 | C22 | 1 | 2 | yes | — |
| 14 | C2×#14581780 | — | 2 | 1 | no | — |
| 15 | C2×#14581778 | — | 2 | 2 | no | — |
| 16 | C2×#14581762 | — | 2 | 2 | no | — |
| 17 | C2×#14581760 | — | 2 | 1 | no | — |
| 18 | #19127876 | — | 2 | 4 | no | — |
| 19 | #19127876 | C22 | 1 | 8 | yes | complemented |
| 20 | #19127873 | — | 2 | 2 | no | — |
| 21 | #19127873 | C22 | 1 | 4 | yes | complemented |
| 22 | C2×#14581720 | — | 2 | 1 | no | — |
| 23 | C2×#14581718 | — | 2 | 2 | no | — |
| 24 | C2×#14581711 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | #19127497 | C22 | 1 | 8 | yes | complemented |
| 26 | C2×#124×C83 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#101×C83 | C22 | 1 | 2 | yes | complemented |
| 28 | #355×C83 | C22 | 1 | 4 | yes | complemented |
| 29 | C24×D83 | — | 2 | 1 | no | — |
| 30 | #14581840 | — | 2 | 1 | no | — |
| 31 | #14581840 | — | 2 | 2 | no | — |
| 32 | #14581840 | — | 4 | 2 | no | — |
| 33 | #14581840 | C23 | 1 | 2 | yes | complemented |
| 34 | C2×#13050591 | — | 4 | 1 | no | — |
| 35 | C2×#13050590 | — | 2 | 2 | no | — |
| 36 | C2×#13050590 | — | 2 | 1 | no | — |
| 37 | C22×Dic166 | — | 2 | 1 | no | — |
| 38 | C2×Q8×D83 | — | 4 | 1 | no | — |
| 39 | C22×D332 | — | 2 | 1 | no | — |
| 40 | C22×D332 | D4 | 1 | 2 | yes | — |
| 41 | C22×C22⋊D83 | — | 2 | 2 | no | — |
| 42 | #14581820 | — | 2 | 8 | no | — |
| 43 | #14581820 | — | 4 | 4 | no | — |
| 44 | #14581818 | — | 2 | 4 | no | — |
| 45 | #14581818 | — | 4 | 2 | no | — |
| 46 | C2×#13050579 | — | 4 | 2 | no | — |
| 47 | C2×#13050578 | — | 4 | 1 | no | — |
| 48 | C2×D664 | — | 4 | 2 | no | — |
| 49 | C2×#13050575 | — | 4 | 1 | no | — |
| 50 | C2×#13050574 | — | 2 | 1 | no | — |
| 51 | #14581781 | — | 2 | 2 | no | — |
| 52 | #14581781 | — | 2 | 2 | no | — |
| 53 | #14581781 | D4 | 1 | 4 | yes | — |
| 54 | #14581781 | C23 | 1 | 4 | yes | — |
| 55 | #14581780 | — | 2 | 4 | no | — |
| 56 | #14581780 | — | 2 | 4 | no | — |
| 57 | #14581778 | — | 2 | 8 | no | — |
| 58 | #14581778 | — | 2 | 8 | no | — |
| 59 | #14581762 | — | 2 | 8 | no | — |
| 60 | #14581762 | — | 2 | 8 | no | — |
| 61 | #14581760 | — | 2 | 4 | no | — |
| 62 | #14581760 | — | 2 | 4 | no | — |
| 63 | C2×C22⋊Dic83 | — | 2 | 1 | no | — |
| 64 | C2×(C2×D83)⋊C4 | — | 2 | 2 | no | — |
| 65 | C2×(C2×D83)⋊C4 | — | 2 | 2 | no | — |
| 66 | C2×(C2×D83)⋊C4 | — | 2 | 2 | no | — |
| 67 | C2×C4×Dic83 | D4 | 1 | 2 | yes | — |
| 68 | #14581720 | — | 2 | 4 | no | — |
| 69 | #14581718 | — | 2 | 8 | no | — |
| 70 | #14581711 | — | 2 | 1 | no | — |
| 71 | #14581711 | C23 | 1 | 2 | yes | complemented |
| 72 | C22×Q8×C83 | C23 | 1 | 1 | yes | characteristic |
| 73 | C22×D4×C83 | D4 | 1 | 1 | yes | characteristic |
| 74 | C2×M16×C83 | — | 2 | 2 | no | — |
| 75 | #124×C83 | — | 2 | 2 | no | — |
| 76 | #124×C83 | D4 | 1 | 2 | yes | — |
| 77 | #124×C83 | C23 | 1 | 2 | yes | — |
| 78 | C2×C22⋊C4×C83 | — | 2 | 2 | no | — |
| 79 | C2×C42×C83 | D4 | 1 | 1 | yes | characteristic |
| 80 | #101×C83 | — | 2 | 2 | no | — |
| 81 | #101×C83 | C23 | 1 | 4 | yes | complemented |
| 82 | C23×D83 | — | 2 | 2 | no | — |
| 83 | C23×D83 | — | 2 | 4 | no | — |
| 84 | C23×D83 | — | 8 | 4 | no | — |
| 85 | C23×D83 | — | 8 | 1 | no | — |
| 86 | C23×D83 | — | 8 | 1 | no | — |
| 87 | #13050591 | — | 4 | 2 | no | — |
| 88 | #13050591 | — | 4 | 2 | no | — |
| 89 | #13050591 | — | 4 | 4 | no | — |
| 90 | #13050590 | — | 2 | 2 | no | — |
| 91 | #13050590 | — | 2 | 4 | no | — |
| 92 | #13050590 | — | 2 | 2 | no | — |
| 93 | #13050590 | — | 2 | 4 | no | — |
| 94 | #13050590 | — | 4 | 2 | no | — |
| 95 | #13050590 | — | 4 | 1 | no | — |
| 96 | #13050590 | — | 4 | 1 | no | — |
| 97 | #13050590 | — | 4 | 2 | no | — |
| 98 | C2×Dic166 | — | 2 | 1 | no | — |
| 99 | C2×Dic166 | — | 2 | 2 | no | — |
| 100 | C2×Dic166 | — | 2 | 4 | no | — |
| 101 | C2×Dic166 | — | 8 | 2 | no | — |
| 102 | Q8×D83 | — | 4 | 2 | no | — |
| 103 | Q8×D83 | — | 4 | 2 | no | — |
| 104 | Q8×D83 | — | 4 | 4 | no | — |
| 105 | C2×D332 | — | 2 | 1 | no | — |
| 106 | C2×D332 | — | 2 | 2 | no | — |
| 107 | C2×D332 | — | 2 | 4 | no | — |
| 108 | C2×D332 | — | 2 | 2 | no | — |
| 109 | C2×D332 | — | 4 | 2 | no | — |
| 110 | C2×D332 | — | 4 | 2 | no | — |
| 111 | C2×D332 | — | 8 | 2 | no | — |
| 112 | C2×D332 | C2×D4 | 1 | 4 | yes | — |
| 113 | C2×C22⋊D83 | — | 2 | 8 | no | — |
| 114 | C2×C22⋊D83 | — | 4 | 1 | no | — |
| 115 | C2×C22⋊D83 | — | 8 | 4 | no | — |
| 116 | C22×Dic83 | — | 2 | 2 | no | — |
| 117 | C2×C4×D83 | — | 4 | 2 | no | — |
| 118 | C2×C4×D83 | — | 4 | 1 | no | — |
| 119 | #13050579 | — | 4 | 8 | no | — |
| 120 | #13050578 | — | 4 | 4 | no | — |
| 121 | D664 | — | 4 | 8 | no | — |
| 122 | #13050575 | — | 4 | 4 | no | — |
| 123 | #13050574 | — | 2 | 2 | no | — |
| 124 | #13050574 | — | 4 | 1 | no | — |
| 125 | C2×C83⋊C8 | — | 4 | 1 | no | — |
| 126 | C22⋊Dic83 | — | 2 | 4 | no | — |
| 127 | (C2×D83)⋊C4 | — | 2 | 8 | no | — |
| 128 | (C2×D83)⋊C4 | — | 2 | 4 | no | — |
| 129 | (C2×D83)⋊C4 | — | 2 | 4 | no | — |
| 130 | (C2×D83)⋊C4 | — | 2 | 4 | no | — |
| 131 | (C2×D83)⋊C4 | — | 2 | 4 | no | — |
| 132 | C4×Dic83 | — | 2 | 2 | no | — |
| 133 | C4×Dic83 | C2×D4 | 1 | 4 | yes | — |
| 134 | C24×C83 | — | 2 | 1 | no | — |
| 135 | C2×Q8×C83 | — | 4 | 1 | no | — |
| 136 | C2×Q8×C83 | — | 4 | 1 | no | — |
| 137 | C2×Q8×C83 | C2×D4 | 1 | 2 | yes | — |
| 138 | C2×Q8×C83 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×Q8×C83 | C24 | 1 | 1 | yes | characteristic |
| 140 | C2×D4×C83 | — | 2 | 1 | no | — |
| 141 | C2×D4×C83 | — | 4 | 1 | no | — |
| 142 | C2×D4×C83 | — | 4 | 1 | no | — |
| 143 | C2×D4×C83 | C2×D4 | 1 | 2 | yes | — |
| 144 | C22×C4×C83 | — | 2 | 1 | no | — |
| 145 | C22×C4×C83 | C2×D4 | 1 | 2 | yes | — |
| 146 | C22×C4×C83 | C2×D4 | 1 | 1 | yes | characteristic |
| 147 | M16×C83 | — | 2 | 4 | no | — |
| 148 | M16×C83 | — | 4 | 2 | no | — |
| 149 | C2×C8×C83 | — | 4 | 2 | no | — |
| 150 | C22⋊C4×C83 | — | 2 | 4 | no | — |
| 151 | C22⋊C4×C83 | — | 2 | 4 | no | — |
| 152 | C42×C83 | — | 2 | 1 | no | — |
| 153 | C42×C83 | C2×D4 | 1 | 2 | yes | — |
| 154 | C23×C83 | — | 2 | 2 | no | — |
| 155 | C23×C83 | — | 4 | 4 | no | — |
| 156 | C23×C83 | — | 4 | 1 | no | — |
| 157 | C23×C83 | — | 4 | 1 | no | — |
| 158 | C23×C83 | #120 | 1 | 1 | yes | characteristic |
| 159 | C22×D83 | — | 2 | 4 | no | — |
| 160 | C22×D83 | — | 4 | 4 | no | — |
| 161 | C22×D83 | — | 4 | 4 | no | — |
| 162 | C22×D83 | — | 4 | 1 | no | — |
| 163 | C22×D83 | — | 4 | 2 | no | — |
| 164 | C22×D83 | — | 4 | 2 | no | — |
| 165 | C22×D83 | — | 8 | 8 | no | — |
| 166 | C22×D83 | — | 8 | 4 | no | — |
| 167 | C22×D83 | — | 8 | 8 | no | — |
| 168 | C22×D83 | — | 8 | 8 | no | — |
| 169 | Q8×C83 | — | 4 | 2 | no | — |
| 170 | Q8×C83 | — | 4 | 1 | no | — |
| 171 | Q8×C83 | — | 4 | 1 | no | — |
| 172 | D4×C83 | — | 4 | 2 | no | — |
| 173 | D4×C83 | — | 8 | 1 | no | — |
| 174 | C2×C4×C83 | — | 2 | 2 | no | — |
| 175 | C2×C4×C83 | — | 2 | 2 | no | — |
| 176 | C2×C4×C83 | — | 2 | 1 | no | — |
| 177 | C2×C4×C83 | — | 2 | 1 | no | — |
| 178 | C2×C4×C83 | — | 2 | 2 | no | — |
| 179 | C2×C4×C83 | — | 4 | 2 | no | — |
| 180 | C2×C4×C83 | #120 | 1 | 1 | yes | characteristic |
| 181 | C2×C4×C83 | #120 | 1 | 2 | yes | — |
| 182 | C2×C4×C83 | C22×D4 | 1 | 2 | yes | — |
| 183 | C2×C4×C83 | C22×D4 | 1 | 1 | yes | characteristic |
| 184 | C22⋊D83 | — | 4 | 2 | no | — |
| 185 | C22⋊D83 | — | 4 | 2 | no | — |
| 186 | C22⋊D83 | — | 8 | 8 | no | — |
| 187 | C2×Dic83 | — | 2 | 4 | no | — |
| 188 | C2×Dic83 | — | 4 | 4 | no | — |
| 189 | C2×Dic83 | — | 4 | 1 | no | — |
| 190 | D332 | — | 2 | 2 | no | — |
| 191 | D332 | — | 2 | 4 | no | — |
| 192 | D332 | — | 4 | 4 | no | — |
| 193 | D332 | — | 4 | 2 | no | — |
| 194 | D332 | — | 4 | 1 | no | — |
| 195 | D332 | — | 8 | 2 | no | — |
| 196 | D332 | — | 8 | 4 | no | — |
| 197 | C4×D83 | — | 4 | 2 | no | — |
| 198 | C4×D83 | — | 4 | 4 | no | — |
| 199 | C4×D83 | — | 4 | 4 | no | — |
| 200 | C4×D83 | — | 4 | 2 | no | — |
| 201 | Dic166 | — | 2 | 2 | no | — |
| 202 | Dic166 | — | 2 | 4 | no | — |
| 203 | Dic166 | — | 4 | 2 | no | — |
| 204 | Dic166 | — | 4 | 1 | no | — |
| 205 | Dic166 | — | 8 | 4 | no | — |
| 206 | C8×C83 | — | 4 | 4 | no | — |
| 207 | C83⋊C8 | — | 4 | 2 | no | — |
| 208 | C22×C83 | — | 2 | 2 | no | — |
| 209 | C22×C83 | — | 4 | 4 | no | — |
| 210 | C22×C83 | — | 4 | 2 | no | — |
| 211 | C22×C83 | — | 8 | 2 | no | — |
| 212 | C22×C83 | — | 8 | 2 | no | — |
| 213 | C22×C83 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 214 | C22×C83 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 215 | C22×C83 | C2×#120 | 1 | 1 | yes | characteristic |
| 216 | C2×D83 | — | 4 | 4 | no | — |
| 217 | C2×D83 | — | 4 | 4 | no | — |
| 218 | C2×D83 | — | 4 | 2 | no | — |
| 219 | C2×D83 | — | 4 | 4 | no | — |
| 220 | C2×D83 | — | 8 | 4 | no | — |
| 221 | C2×D83 | — | 8 | 16 | no | — |
| 222 | C2×D83 | — | 8 | 2 | no | — |
| 223 | C2×D83 | — | 8 | 4 | no | — |
| 224 | C4×C83 | — | 2 | 1 | no | — |
| 225 | C4×C83 | — | 2 | 2 | no | — |
| 226 | C4×C83 | — | 2 | 2 | no | — |
| 227 | C4×C83 | — | 2 | 1 | no | — |
| 228 | C4×C83 | — | 4 | 2 | no | — |
| 229 | Dic83 | — | 4 | 4 | no | — |
| 230 | Dic83 | — | 4 | 2 | no | — |
| 231 | C2×#2202 | — | 83 | 1 | no | maximal, Sylow |
| 232 | C2×C83 | — | 2 | 1 | no | — |
| 233 | C2×C83 | — | 2 | 1 | no | — |
| 234 | C2×C83 | — | 8 | 2 | no | — |
| 235 | C2×C83 | #2202 | 1 | 2 | yes | complemented |
| 236 | C2×C83 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 237 | D83 | — | 8 | 4 | no | — |
| 238 | D83 | — | 8 | 2 | no | — |
| 239 | C2×H(3,𝔽4) | — | 83 | 1 | no | — |
| 240 | C2×#454 | — | 83 | 2 | no | — |
| 241 | C2×#454 | — | 83 | 1 | no | — |
| 242 | #2202 | — | 83 | 8 | no | — |
| 243 | C2×#355 | — | 83 | 2 | no | — |
| 244 | C2×#355 | D83 | 1 | 1 | yes | characteristic, complemented |
| 245 | C83 | C2×#2202 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 246 | C2×2−1+4 | — | 83 | 1 | no | — |
| 247 | C2×AGL(1,ℤ/8) | — | 166 | 2 | no | — |
| 248 | C2×AGL(1,ℤ/8) | — | 166 | 1 | no | — |
| 249 | H(3,𝔽4) | — | 83 | 4 | no | — |
| 250 | H(3,𝔽4) | — | 166 | 4 | no | — |
| 251 | H(3,𝔽4) | — | 166 | 2 | no | — |
| 252 | C2×#124 | — | 83 | 2 | no | — |
| 253 | C2×#124 | — | 166 | 2 | no | — |
| 254 | C2×#124 | — | 166 | 1 | no | — |
| 255 | C2×#124 | C2×D83 | 1 | 1 | yes | characteristic |
| 256 | C2×#120 | — | 166 | 2 | no | — |
| 257 | C2×#120 | — | 166 | 1 | no | — |
| 258 | #454 | — | 83 | 4 | no | — |
| 259 | #454 | — | 83 | 8 | no | — |
| 260 | #454 | — | 166 | 4 | no | — |
| 261 | #454 | — | 166 | 2 | no | — |
| 262 | C2×#104 | — | 166 | 2 | no | — |
| 263 | C2×#104 | — | 166 | 1 | no | — |
| 264 | C2×#101 | — | 83 | 1 | no | — |
| 265 | C2×#101 | C2×D83 | 1 | 2 | yes | complemented |
| 266 | #355 | — | 83 | 8 | no | — |
| 267 | #355 | C2×D83 | 1 | 4 | yes | complemented |
| 268 | C25 | — | 166 | 1 | no | — |
| 269 | 2−1+4 | — | 332 | 2 | no | — |
| 270 | 2−1+4 | — | 83 | 2 | no | — |
| 271 | 2−1+4 | — | 166 | 2 | no | — |
| 272 | 2−1+4 | — | 166 | 1 | no | — |
| 273 | C2×#41 | — | 332 | 1 | no | — |
| 274 | C2×#41 | — | 166 | 2 | no | — |
| 275 | C2×#41 | — | 166 | 1 | no | — |
| 276 | C22×Q8 | — | 332 | 1 | no | — |
| 277 | C22×Q8 | — | 166 | 1 | no | — |
| 278 | C22×Q8 | C22×D83 | 1 | 1 | yes | characteristic |
| 279 | C22×D4 | — | 83 | 2 | no | — |
| 280 | C22×D4 | — | 166 | 1 | no | — |
| 281 | C22×D4 | — | 166 | 2 | no | — |
| 282 | C22×D4 | D332 | 1 | 1 | yes | characteristic |
| 283 | AGL(1,ℤ/8) | — | 332 | 4 | no | — |
| 284 | AGL(1,ℤ/8) | — | 332 | 2 | no | — |
| 285 | AGL(1,ℤ/8) | — | 166 | 8 | no | — |
| 286 | AGL(1,ℤ/8) | — | 166 | 4 | no | — |
| 287 | C2×SD16 | — | 332 | 2 | no | — |
| 288 | C2×SD16 | — | 332 | 1 | no | — |
| 289 | C2×D8 | — | 332 | 2 | no | — |
| 290 | C2×D8 | — | 332 | 1 | no | — |
| 291 | C2×M16 | — | 2 | 2 | no | — |
| 292 | C2×M16 | — | 166 | 1 | no | — |
| 293 | #124 | — | 2 | 2 | no | — |
| 294 | #124 | — | 83 | 4 | no | — |
| 295 | #124 | — | 83 | 4 | no | — |
| 296 | #124 | — | 166 | 4 | no | — |
| 297 | #124 | — | 166 | 8 | no | — |
| 298 | #124 | — | 166 | 8 | no | — |
| 299 | #124 | — | 166 | 2 | no | — |
| 300 | #124 | — | 166 | 2 | no | — |
| 301 | #124 | — | 166 | 4 | no | — |
| 302 | #124 | D332 | 1 | 2 | yes | — |
| 303 | #124 | C22×D83 | 1 | 2 | yes | — |
| 304 | #120 | — | 166 | 8 | no | — |
| 305 | #120 | — | 166 | 8 | no | — |
| 306 | #120 | — | 166 | 4 | no | — |
| 307 | #120 | — | 166 | 4 | no | — |
| 308 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 309 | C2×C22⋊C4 | — | 166 | 2 | no | — |
| 310 | C2×C22⋊C4 | — | 166 | 1 | no | — |
| 311 | C2×C22⋊C4 | — | 166 | 2 | no | — |
| 312 | C2×C22⋊C4 | — | 166 | 2 | no | — |
| 313 | C2×C42 | — | 83 | 2 | no | — |
| 314 | C2×C42 | D332 | 1 | 1 | yes | characteristic |
| 315 | #104 | — | 166 | 8 | no | — |
| 316 | #104 | — | 166 | 4 | no | — |
| 317 | #101 | — | 2 | 2 | no | — |
| 318 | #101 | — | 83 | 2 | no | — |
| 319 | #101 | — | 166 | 1 | no | — |
| 320 | #101 | C22×D83 | 1 | 4 | yes | complemented |
| 321 | C24 | — | 2 | 1 | no | — |
| 322 | C24 | — | 664 | 4 | no | — |
| 323 | C24 | — | 664 | 1 | no | — |
| 324 | C24 | — | 664 | 1 | no | — |
| 325 | C24 | — | 166 | 4 | no | — |
| 326 | C24 | — | 166 | 2 | no | — |
| 327 | #41 | — | 332 | 2 | no | — |
| 328 | #41 | — | 332 | 1 | no | — |
| 329 | #41 | — | 332 | 4 | no | — |
| 330 | #41 | — | 332 | 2 | no | — |
| 331 | #41 | — | 332 | 2 | no | — |
| 332 | #41 | — | 332 | 1 | no | — |
| 333 | #41 | — | 332 | 2 | no | — |
| 334 | #41 | — | 166 | 4 | no | — |
| 335 | #41 | — | 166 | 2 | no | — |
| 336 | #41 | — | 166 | 4 | no | — |
| 337 | #41 | — | 166 | 2 | no | — |
| 338 | C2×Q8 | — | 4 | 1 | no | — |
| 339 | C2×Q8 | — | 4 | 1 | no | — |
| 340 | C2×Q8 | — | 332 | 4 | no | — |
| 341 | C2×Q8 | — | 332 | 2 | no | — |
| 342 | C2×Q8 | — | 332 | 2 | no | — |
| 343 | C2×Q8 | — | 664 | 2 | no | — |
| 344 | C2×Q8 | — | 166 | 2 | no | — |
| 345 | C2×Q8 | — | 166 | 1 | no | — |
| 346 | C2×Q8 | — | 166 | 4 | no | — |
| 347 | C2×Q8 | D4×D83 | 1 | 2 | yes | — |
| 348 | C2×Q8 | C2×D332 | 1 | 1 | yes | characteristic |
| 349 | C2×Q8 | C23×D83 | 1 | 1 | yes | characteristic |
| 350 | C2×D4 | — | 2 | 1 | no | — |
| 351 | C2×D4 | — | 4 | 1 | no | — |
| 352 | C2×D4 | — | 4 | 1 | no | — |
| 353 | C2×D4 | — | 332 | 2 | no | — |
| 354 | C2×D4 | — | 332 | 2 | no | — |
| 355 | C2×D4 | — | 332 | 1 | no | — |
| 356 | C2×D4 | — | 83 | 4 | no | — |
| 357 | C2×D4 | — | 664 | 2 | no | — |
| 358 | C2×D4 | — | 664 | 4 | no | — |
| 359 | C2×D4 | — | 166 | 2 | no | — |
| 360 | C2×D4 | — | 166 | 1 | no | — |
| 361 | C2×D4 | — | 166 | 4 | no | — |
| 362 | C2×D4 | — | 166 | 8 | no | — |
| 363 | C2×D4 | — | 166 | 2 | no | — |
| 364 | C2×D4 | C2×D332 | 1 | 2 | yes | — |
| 365 | C22×C4 | — | 2 | 1 | no | — |
| 366 | C22×C4 | — | 332 | 2 | no | — |
| 367 | C22×C4 | — | 332 | 1 | no | — |
| 368 | C22×C4 | — | 166 | 2 | no | — |
| 369 | C22×C4 | D4×D83 | 1 | 2 | yes | — |
| 370 | C22×C4 | C2×D332 | 1 | 1 | yes | characteristic |
| 371 | SD16 | — | 332 | 8 | no | — |
| 372 | SD16 | — | 332 | 4 | no | — |
| 373 | D8 | — | 332 | 8 | no | — |
| 374 | D8 | — | 332 | 4 | no | — |
| 375 | M16 | — | 2 | 4 | no | — |
| 376 | M16 | — | 4 | 2 | no | — |
| 377 | M16 | — | 332 | 1 | no | — |
| 378 | M16 | — | 166 | 2 | no | — |
| 379 | C2×C8 | — | 4 | 2 | no | — |
| 380 | C2×C8 | — | 332 | 1 | no | — |
| 381 | C22⋊C4 | — | 2 | 4 | no | — |
| 382 | C22⋊C4 | — | 2 | 4 | no | — |
| 383 | C22⋊C4 | — | 166 | 8 | no | — |
| 384 | C22⋊C4 | — | 166 | 4 | no | — |
| 385 | C22⋊C4 | — | 166 | 4 | no | — |
| 386 | C22⋊C4 | — | 166 | 4 | no | — |
| 387 | C22⋊C4 | — | 166 | 4 | no | — |
| 388 | C22⋊C4 | — | 166 | 4 | no | — |
| 389 | C42 | — | 2 | 1 | no | — |
| 390 | C42 | — | 83 | 4 | no | — |
| 391 | C42 | — | 166 | 2 | no | — |
| 392 | C42 | C2×D332 | 1 | 2 | yes | — |
| 393 | C23 | — | 2 | 2 | no | — |
| 394 | C23 | — | 4 | 4 | no | — |
| 395 | C23 | — | 4 | 1 | no | — |
| 396 | C23 | — | 4 | 1 | no | — |
| 397 | C23 | — | 332 | 4 | no | — |
| 398 | C23 | — | 332 | 4 | no | — |
| 399 | C23 | — | 332 | 2 | no | — |
| 400 | C23 | — | 332 | 1 | no | — |
| 401 | C23 | — | 332 | 2 | no | — |
| 402 | C23 | — | 664 | 8 | no | — |
| 403 | C23 | — | 664 | 4 | no | — |
| 404 | C23 | — | 664 | 8 | no | — |
| 405 | C23 | — | 664 | 8 | no | — |
| 406 | C23 | — | 166 | 4 | no | — |
| 407 | C23 | #14581762 | 1 | 1 | yes | characteristic |
| 408 | Q8 | — | 4 | 2 | no | — |
| 409 | Q8 | — | 4 | 1 | no | — |
| 410 | Q8 | — | 4 | 1 | no | — |
| 411 | Q8 | — | 332 | 1 | no | — |
| 412 | Q8 | — | 332 | 2 | no | — |
| 413 | Q8 | — | 664 | 4 | no | — |
| 414 | Q8 | — | 166 | 4 | no | — |
| 415 | Q8 | — | 166 | 2 | no | — |
| 416 | D4 | — | 4 | 2 | no | — |
| 417 | D4 | — | 8 | 1 | no | — |
| 418 | D4 | — | 332 | 4 | no | — |
| 419 | D4 | — | 332 | 1 | no | — |
| 420 | D4 | — | 332 | 2 | no | — |
| 421 | D4 | — | 332 | 2 | no | — |
| 422 | D4 | — | 332 | 2 | no | — |
| 423 | D4 | — | 664 | 2 | no | — |
| 424 | D4 | — | 664 | 4 | no | — |
| 425 | D4 | — | 664 | 8 | no | — |
| 426 | D4 | — | 166 | 4 | no | — |
| 427 | D4 | — | 166 | 2 | no | — |
| 428 | C2×C4 | — | 2 | 2 | no | — |
| 429 | C2×C4 | — | 2 | 1 | no | — |
| 430 | C2×C4 | — | 2 | 2 | no | — |
| 431 | C2×C4 | — | 2 | 1 | no | — |
| 432 | C2×C4 | — | 2 | 2 | no | — |
| 433 | C2×C4 | — | 4 | 2 | no | — |
| 434 | C2×C4 | — | 332 | 4 | no | — |
| 435 | C2×C4 | — | 332 | 2 | no | — |
| 436 | C2×C4 | — | 332 | 2 | no | — |
| 437 | C2×C4 | — | 332 | 4 | no | — |
| 438 | C2×C4 | — | 332 | 4 | no | — |
| 439 | C2×C4 | — | 332 | 1 | no | — |
| 440 | C2×C4 | — | 166 | 4 | no | — |
| 441 | C2×C4 | #14581762 | 1 | 1 | yes | characteristic |
| 442 | C2×C4 | #14581762 | 1 | 2 | yes | — |
| 443 | C2×C4 | C2×D4×D83 | 1 | 2 | yes | — |
| 444 | C2×C4 | C22×D332 | 1 | 1 | yes | characteristic |
| 445 | C8 | — | 4 | 4 | no | — |
| 446 | C8 | — | 332 | 2 | no | — |
| 447 | C22 | — | 2 | 2 | no | — |
| 448 | C22 | — | 4 | 4 | no | — |
| 449 | C22 | — | 4 | 2 | no | — |
| 450 | C22 | — | 8 | 2 | no | — |
| 451 | C22 | — | 8 | 2 | no | — |
| 452 | C22 | — | 332 | 4 | no | — |
| 453 | C22 | — | 332 | 4 | no | — |
| 454 | C22 | — | 332 | 2 | no | — |
| 455 | C22 | — | 332 | 4 | no | — |
| 456 | C22 | — | 664 | 4 | no | — |
| 457 | C22 | — | 664 | 16 | no | — |
| 458 | C22 | — | 664 | 4 | no | — |
| 459 | C22 | — | 664 | 2 | no | — |
| 460 | C22 | #19127889 | 1 | 1 | yes | characteristic |
| 461 | C22 | #19127889 | 1 | 1 | yes | characteristic |
| 462 | C22 | C2×#14581762 | 1 | 1 | yes | characteristic |
| 463 | C4 | — | 2 | 2 | no | — |
| 464 | C4 | — | 2 | 1 | no | — |
| 465 | C4 | — | 2 | 1 | no | — |
| 466 | C4 | — | 2 | 2 | no | — |
| 467 | C4 | — | 4 | 2 | no | — |
| 468 | C4 | — | 332 | 4 | no | — |
| 469 | C4 | — | 332 | 2 | no | — |
| 470 | C2 | — | 2 | 1 | no | — |
| 471 | C2 | — | 2 | 1 | no | — |
| 472 | C2 | — | 8 | 2 | no | — |
| 473 | C2 | — | 664 | 4 | no | — |
| 474 | C2 | — | 664 | 2 | no | — |
| 475 | C2 | #24909481 | 1 | 2 | yes | direct product factor |
| 476 | C2 | C2×#19127889 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#19128443 | C2 | semidirect |
| 2. C2×#19127876 | C2 | semidirect |
| 3. C2×#19127873 | C2 | semidirect |
| 4. #24909481 | C2 | direct (N × H) |
| 5. C2×#19127497 | C2 | semidirect |
| 6. C2×#355×C83 | C2 | semidirect |
| 7. C2×#14581840 | C22 | semidirect |
| 12. #19128443 | C22 | semidirect |
| 19. #19127876 | C22 | semidirect |
| 21. #19127873 | C22 | semidirect |
| 24. C2×#14581711 | C22 | semidirect |
| 25. #19127497 | C22 | semidirect |
| 27. C2×#101×C83 | C22 | semidirect |
| 28. #355×C83 | C22 | semidirect |
| 33. #14581840 | C23 | semidirect |
| 71. #14581711 | C23 | semidirect |
| 81. #101×C83 | C23 | semidirect |
| 235. C2×C83 | #2202 | semidirect |
| 244. C2×#355 | D83 | semidirect |
| 245. C83 | C2×#2202 | semidirect |
| 265. C2×#101 | C2×D83 | semidirect |
| 267. #355 | C2×D83 | semidirect |
| 320. #101 | C22×D83 | semidirect |
| 475. C2 | #24909481 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19128443 | 2 |
| C2×#19127876 | 2 |
| C2×#19127873 | 2 |
| #24909481 | 2 |
| C2×#19127497 | 2 |
| C2×#355×C83 | 2 |
| C2×#2202 | 83 |