← C3×D5×H(3,𝔽4) #14495249
Subgroups — C3×D5×H(3,𝔽4) #14495249
Order 1920.
2816 conjugacy classes of subgroups.
The subgroup lattice has 264 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C3×C5×H(3,𝔽4) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#66017 | C2 | 1 | 9 | yes | maximal, complemented |
| 3 | C3×D5×#124 | C2 | 1 | 9 | yes | maximal, complemented |
| 4 | C3×#65928 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | C3×D5×#120 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | D5×H(3,𝔽4) | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 7 | C24×C3×D5 | C22 | 1 | 2 | yes | complemented |
| 8 | C2×C3×Q8×D5 | C22 | 1 | 3 | yes | complemented |
| 9 | C2×C3×D4×D5 | C22 | 1 | 9 | yes | — |
| 10 | C3×C5×#124 | C22 | 1 | 9 | yes | complemented |
| 11 | C3×C5×#120 | C22 | 1 | 6 | yes | complemented |
| 12 | C3×#4099 | C22 | 1 | 6 | yes | complemented |
| 13 | C3×#4093 | C22 | 1 | 9 | yes | complemented |
| 14 | C3×#4083 | C22 | 1 | 18 | yes | complemented |
| 15 | C3×#4082 | C22 | 1 | 9 | yes | complemented |
| 16 | C3×#4031 | C22 | 1 | 36 | yes | complemented |
| 17 | C3×#4028 | C22 | 1 | 18 | yes | complemented |
| 18 | C3×D5×C22⋊C4 | C22 | 1 | 18 | yes | complemented |
| 19 | C3×#4021 | C22 | 1 | 9 | yes | complemented |
| 20 | C3×C42×D5 | C22 | 1 | 3 | yes | complemented |
| 21 | C2×C3×H(3,𝔽4) | — | 5 | 1 | no | maximal, Hall |
| 22 | C5×H(3,𝔽4) | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 23 | #66017 | C2×C3 | 1 | 9 | yes | complemented |
| 24 | D5×#124 | C2×C3 | 1 | 9 | yes | complemented |
| 25 | #65928 | C2×C3 | 1 | 6 | yes | complemented |
| 26 | D5×#120 | C2×C3 | 1 | 6 | yes | complemented |
| 27 | C24×C3×C5 | C23 | 1 | 2 | yes | complemented |
| 28 | C23×C3×D5 | — | 4 | 12 | no | — |
| 29 | C23×C3×D5 | C23 | 1 | 6 | yes | — |
| 30 | C23×C3×D5 | C23 | 1 | 6 | yes | complemented |
| 31 | C2×C3×C5×Q8 | C23 | 1 | 3 | yes | complemented |
| 32 | C2×C3×C5×D4 | C23 | 1 | 9 | yes | — |
| 33 | C2×C3×C22⋊D5 | C23 | 1 | 18 | yes | — |
| 34 | C3×Q8×D5 | — | 4 | 6 | no | — |
| 35 | C3×D4×D5 | — | 4 | 18 | no | — |
| 36 | C2×C3×D20 | C23 | 1 | 9 | yes | — |
| 37 | C2×C3×C4×D5 | C23 | 1 | 9 | yes | — |
| 38 | C2×C3×Dic10 | C23 | 1 | 9 | yes | complemented |
| 39 | C3×C5×C22⋊C4 | C23 | 1 | 18 | yes | complemented |
| 40 | C3×C42×C5 | C23 | 1 | 3 | yes | complemented |
| 41 | C3×C22⋊Dic5 | C23 | 1 | 18 | yes | complemented |
| 42 | C3×#685 | C23 | 1 | 36 | yes | complemented |
| 43 | C3×C4×Dic5 | C23 | 1 | 9 | yes | complemented |
| 44 | C3×H(3,𝔽4) | — | 5 | 9 | no | — |
| 45 | C3×H(3,𝔽4) | — | 5 | 6 | no | — |
| 46 | C3×H(3,𝔽4) | D5 | 1 | 1 | yes | characteristic, direct product factor |
| 47 | C2×C3×#124 | — | 5 | 9 | no | — |
| 48 | C2×C3×#120 | — | 5 | 6 | no | — |
| 49 | C24×D5 | C22×C3 | 1 | 2 | yes | complemented |
| 50 | C2×Q8×D5 | C22×C3 | 1 | 3 | yes | complemented |
| 51 | C2×D4×D5 | C22×C3 | 1 | 9 | yes | — |
| 52 | C5×#124 | C22×C3 | 1 | 9 | yes | complemented |
| 53 | C5×#120 | C22×C3 | 1 | 6 | yes | complemented |
| 54 | #4099 | C22×C3 | 1 | 6 | yes | complemented |
| 55 | #4093 | C22×C3 | 1 | 9 | yes | complemented |
| 56 | #4083 | C22×C3 | 1 | 18 | yes | complemented |
| 57 | #4082 | C22×C3 | 1 | 9 | yes | complemented |
| 58 | #4031 | C22×C3 | 1 | 36 | yes | complemented |
| 59 | #4028 | C22×C3 | 1 | 18 | yes | complemented |
| 60 | D5×C22⋊C4 | C22×C3 | 1 | 18 | yes | complemented |
| 61 | #4021 | C22×C3 | 1 | 9 | yes | complemented |
| 62 | C42×D5 | C22×C3 | 1 | 3 | yes | complemented |
| 63 | C2×H(3,𝔽4) | — | 5 | 1 | no | Sylow |
| 64 | C23×C3×C5 | — | 4 | 6 | no | — |
| 65 | C23×C3×C5 | C24 | 1 | 6 | yes | — |
| 66 | C22×C3×D5 | — | 2 | 36 | no | — |
| 67 | C22×C3×D5 | — | 4 | 18 | no | — |
| 68 | C22×C3×D5 | — | 4 | 32 | no | — |
| 69 | C22×C3×D5 | C24 | 1 | 6 | yes | — |
| 70 | C22×C3×D5 | C24 | 1 | 1 | yes | characteristic |
| 71 | C3×C5×Q8 | — | 4 | 3 | no | — |
| 72 | C3×C5×D4 | — | 4 | 9 | no | — |
| 73 | C2×C3×C4×C5 | C24 | 1 | 9 | yes | — |
| 74 | C3×C22⋊D5 | — | 4 | 18 | no | — |
| 75 | C2×C3×Dic5 | C24 | 1 | 9 | yes | — |
| 76 | C3×D20 | — | 4 | 9 | no | — |
| 77 | C3×C4×D5 | — | 2 | 18 | no | — |
| 78 | C3×Dic10 | — | 4 | 9 | no | — |
| 79 | C25×C3 | — | 5 | 2 | no | — |
| 80 | C22×C3×Q8 | — | 5 | 3 | no | — |
| 81 | C22×C3×D4 | — | 5 | 9 | no | — |
| 82 | C3×#124 | — | 5 | 9 | no | — |
| 83 | C3×#124 | — | 5 | 9 | no | — |
| 84 | C3×#124 | — | 5 | 36 | no | — |
| 85 | C3×#124 | — | 5 | 9 | no | — |
| 86 | C3×#124 | C2×D5 | 1 | 9 | yes | complemented |
| 87 | C3×#120 | — | 5 | 6 | no | — |
| 88 | C3×#120 | — | 5 | 18 | no | — |
| 89 | C3×#120 | — | 5 | 18 | no | — |
| 90 | C3×#120 | C2×D5 | 1 | 6 | yes | complemented |
| 91 | C2×C3×C22⋊C4 | — | 5 | 18 | no | — |
| 92 | C2×C3×C42 | — | 5 | 3 | no | — |
| 93 | C24×C5 | C23×C3 | 1 | 2 | yes | complemented |
| 94 | C23×D5 | — | 4 | 12 | no | — |
| 95 | C23×D5 | C23×C3 | 1 | 6 | yes | — |
| 96 | C23×D5 | C23×C3 | 1 | 6 | yes | complemented |
| 97 | C2×C5×Q8 | C23×C3 | 1 | 3 | yes | complemented |
| 98 | C2×C5×D4 | C23×C3 | 1 | 9 | yes | — |
| 99 | C2×C22⋊D5 | C23×C3 | 1 | 18 | yes | — |
| 100 | Q8×D5 | — | 4 | 6 | no | — |
| 101 | D4×D5 | — | 4 | 18 | no | — |
| 102 | C2×D20 | C23×C3 | 1 | 9 | yes | — |
| 103 | C2×C4×D5 | C23×C3 | 1 | 9 | yes | — |
| 104 | C2×Dic10 | C23×C3 | 1 | 9 | yes | complemented |
| 105 | C5×C22⋊C4 | C23×C3 | 1 | 18 | yes | complemented |
| 106 | C42×C5 | C23×C3 | 1 | 3 | yes | complemented |
| 107 | C22⋊Dic5 | C23×C3 | 1 | 18 | yes | complemented |
| 108 | #685 | C23×C3 | 1 | 36 | yes | complemented |
| 109 | C4×Dic5 | C23×C3 | 1 | 9 | yes | complemented |
| 110 | H(3,𝔽4) | — | 5 | 9 | no | — |
| 111 | H(3,𝔽4) | — | 5 | 6 | no | — |
| 112 | H(3,𝔽4) | C3×D5 | 1 | 1 | yes | characteristic, direct product factor |
| 113 | C2×#124 | — | 5 | 9 | no | — |
| 114 | C2×#120 | — | 5 | 6 | no | — |
| 115 | C22×C3×C5 | — | 2 | 18 | no | — |
| 116 | C22×C3×C5 | — | 4 | 8 | no | — |
| 117 | C22×C3×C5 | C25 | 1 | 1 | yes | characteristic |
| 118 | C2×C3×D5 | — | 2 | 18 | no | — |
| 119 | C2×C3×D5 | — | 4 | 24 | no | — |
| 120 | C2×C3×D5 | — | 4 | 24 | no | — |
| 121 | C2×C3×D5 | H(5,𝔽2) | 1 | 6 | yes | — |
| 122 | C3×C4×C5 | — | 2 | 9 | no | — |
| 123 | C3×Dic5 | — | 2 | 9 | no | — |
| 124 | C24×C3 | — | 5 | 6 | no | — |
| 125 | C24×C3 | — | 5 | 6 | no | — |
| 126 | C24×C3 | — | 20 | 12 | no | — |
| 127 | C24×C3 | C22×D5 | 1 | 2 | yes | complemented |
| 128 | C2×C3×Q8 | — | 5 | 9 | no | — |
| 129 | C2×C3×Q8 | — | 20 | 6 | no | — |
| 130 | C2×C3×Q8 | C22×D5 | 1 | 3 | yes | complemented |
| 131 | C2×C3×D4 | — | 5 | 18 | no | — |
| 132 | C2×C3×D4 | — | 5 | 9 | no | — |
| 133 | C2×C3×D4 | — | 20 | 18 | no | — |
| 134 | C2×C3×D4 | C22×D5 | 1 | 9 | yes | — |
| 135 | C22×C3×C4 | — | 5 | 9 | no | — |
| 136 | C3×C22⋊C4 | — | 5 | 18 | no | — |
| 137 | C3×C22⋊C4 | — | 5 | 36 | no | — |
| 138 | C3×C22⋊C4 | C22×D5 | 1 | 18 | yes | complemented |
| 139 | C3×C42 | — | 5 | 9 | no | — |
| 140 | C3×C42 | C22×D5 | 1 | 3 | yes | complemented |
| 141 | C23×C5 | — | 4 | 6 | no | — |
| 142 | C23×C5 | C24×C3 | 1 | 6 | yes | — |
| 143 | C22×D5 | — | 2 | 36 | no | — |
| 144 | C22×D5 | — | 4 | 18 | no | — |
| 145 | C22×D5 | — | 4 | 32 | no | — |
| 146 | C22×D5 | C24×C3 | 1 | 6 | yes | — |
| 147 | C22×D5 | C24×C3 | 1 | 1 | yes | characteristic |
| 148 | C5×Q8 | — | 4 | 3 | no | — |
| 149 | C5×D4 | — | 4 | 9 | no | — |
| 150 | C2×C4×C5 | C24×C3 | 1 | 9 | yes | — |
| 151 | C22⋊D5 | — | 4 | 18 | no | — |
| 152 | C2×Dic5 | C24×C3 | 1 | 9 | yes | — |
| 153 | D20 | — | 4 | 9 | no | — |
| 154 | C4×D5 | — | 2 | 18 | no | — |
| 155 | Dic10 | — | 4 | 9 | no | — |
| 156 | C25 | — | 5 | 2 | no | — |
| 157 | C22×Q8 | — | 5 | 3 | no | — |
| 158 | C22×D4 | — | 5 | 9 | no | — |
| 159 | #124 | — | 5 | 9 | no | — |
| 160 | #124 | — | 5 | 9 | no | — |
| 161 | #124 | — | 5 | 36 | no | — |
| 162 | #124 | — | 5 | 9 | no | — |
| 163 | #124 | C2×C3×D5 | 1 | 9 | yes | complemented |
| 164 | #120 | — | 5 | 6 | no | — |
| 165 | #120 | — | 5 | 18 | no | — |
| 166 | #120 | — | 5 | 18 | no | — |
| 167 | #120 | C2×C3×D5 | 1 | 6 | yes | complemented |
| 168 | C2×C22⋊C4 | — | 5 | 18 | no | — |
| 169 | C2×C42 | — | 5 | 3 | no | — |
| 170 | C2×C3×C5 | — | 4 | 6 | no | — |
| 171 | C2×C3×C5 | C2×H(5,𝔽2) | 1 | 3 | yes | — |
| 172 | C3×D5 | — | 4 | 6 | no | — |
| 173 | C3×D5 | H(3,𝔽4) | 1 | 4 | yes | direct product factor |
| 174 | C23×C3 | — | 4 | 6 | no | — |
| 175 | C23×C3 | — | 5 | 1 | no | — |
| 176 | C23×C3 | — | 5 | 6 | no | — |
| 177 | C23×C3 | — | 10 | 36 | no | — |
| 178 | C23×C3 | — | 20 | 18 | no | — |
| 179 | C23×C3 | — | 20 | 32 | no | — |
| 180 | C23×C3 | C23×D5 | 1 | 6 | yes | — |
| 181 | C3×Q8 | — | 4 | 3 | no | — |
| 182 | C3×Q8 | — | 20 | 9 | no | — |
| 183 | C3×D4 | — | 4 | 9 | no | — |
| 184 | C3×D4 | — | 20 | 9 | no | — |
| 185 | C3×D4 | — | 20 | 18 | no | — |
| 186 | C2×C3×C4 | — | 5 | 9 | no | — |
| 187 | C2×C3×C4 | — | 10 | 18 | no | — |
| 188 | C2×C3×C4 | C23×D5 | 1 | 9 | yes | — |
| 189 | C22×C5 | — | 2 | 18 | no | — |
| 190 | C22×C5 | — | 4 | 8 | no | — |
| 191 | C22×C5 | C25×C3 | 1 | 1 | yes | characteristic |
| 192 | C2×D5 | — | 2 | 18 | no | — |
| 193 | C2×D5 | — | 4 | 24 | no | — |
| 194 | C2×D5 | — | 4 | 24 | no | — |
| 195 | C2×D5 | C3×H(5,𝔽2) | 1 | 6 | yes | — |
| 196 | C4×C5 | — | 2 | 9 | no | — |
| 197 | Dic5 | — | 2 | 9 | no | — |
| 198 | C24 | — | 5 | 6 | no | — |
| 199 | C24 | — | 5 | 6 | no | — |
| 200 | C24 | — | 20 | 12 | no | — |
| 201 | C24 | C22×C3×D5 | 1 | 2 | yes | complemented |
| 202 | C2×Q8 | — | 5 | 9 | no | — |
| 203 | C2×Q8 | — | 20 | 6 | no | — |
| 204 | C2×Q8 | C22×C3×D5 | 1 | 3 | yes | complemented |
| 205 | C2×D4 | — | 5 | 18 | no | — |
| 206 | C2×D4 | — | 5 | 9 | no | — |
| 207 | C2×D4 | — | 20 | 18 | no | — |
| 208 | C2×D4 | C22×C3×D5 | 1 | 9 | yes | — |
| 209 | C22×C4 | — | 5 | 9 | no | — |
| 210 | C22⋊C4 | — | 5 | 18 | no | — |
| 211 | C22⋊C4 | — | 5 | 36 | no | — |
| 212 | C22⋊C4 | C22×C3×D5 | 1 | 18 | yes | complemented |
| 213 | C42 | — | 5 | 9 | no | — |
| 214 | C42 | C22×C3×D5 | 1 | 3 | yes | complemented |
| 215 | C3×C5 | C2×H(3,𝔽4) | 1 | 1 | yes | characteristic, complemented, Hall |
| 216 | C22×C3 | — | 2 | 18 | no | — |
| 217 | C22×C3 | — | 4 | 8 | no | — |
| 218 | C22×C3 | — | 5 | 6 | no | — |
| 219 | C22×C3 | — | 10 | 18 | no | — |
| 220 | C22×C3 | — | 20 | 24 | no | — |
| 221 | C22×C3 | — | 20 | 24 | no | — |
| 222 | C22×C3 | C24×D5 | 1 | 1 | yes | characteristic |
| 223 | C3×C4 | — | 2 | 9 | no | — |
| 224 | C3×C4 | — | 10 | 9 | no | — |
| 225 | C2×C5 | — | 4 | 6 | no | — |
| 226 | C2×C5 | C2×C3×H(5,𝔽2) | 1 | 3 | yes | — |
| 227 | D5 | — | 4 | 6 | no | — |
| 228 | D5 | C3×H(3,𝔽4) | 1 | 4 | yes | direct product factor |
| 229 | C23 | — | 4 | 6 | no | — |
| 230 | C23 | — | 5 | 1 | no | — |
| 231 | C23 | — | 5 | 6 | no | — |
| 232 | C23 | — | 10 | 36 | no | — |
| 233 | C23 | — | 20 | 18 | no | — |
| 234 | C23 | — | 20 | 32 | no | — |
| 235 | C23 | C23×C3×D5 | 1 | 6 | yes | — |
| 236 | Q8 | — | 4 | 3 | no | — |
| 237 | Q8 | — | 20 | 9 | no | — |
| 238 | D4 | — | 4 | 9 | no | — |
| 239 | D4 | — | 20 | 9 | no | — |
| 240 | D4 | — | 20 | 18 | no | — |
| 241 | C2×C4 | — | 5 | 9 | no | — |
| 242 | C2×C4 | — | 10 | 18 | no | — |
| 243 | C2×C4 | C23×C3×D5 | 1 | 9 | yes | — |
| 244 | C2×C3 | — | 4 | 6 | no | — |
| 245 | C2×C3 | — | 5 | 4 | no | — |
| 246 | C2×C3 | — | 20 | 6 | no | — |
| 247 | C2×C3 | D5×H(5,𝔽2) | 1 | 3 | yes | — |
| 248 | C5 | C2×C3×H(3,𝔽4) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 249 | C22 | — | 2 | 18 | no | — |
| 250 | C22 | — | 4 | 8 | no | — |
| 251 | C22 | — | 5 | 6 | no | — |
| 252 | C22 | — | 10 | 18 | no | — |
| 253 | C22 | — | 20 | 24 | no | — |
| 254 | C22 | — | 20 | 24 | no | — |
| 255 | C22 | C24×C3×D5 | 1 | 1 | yes | characteristic |
| 256 | C4 | — | 2 | 9 | no | — |
| 257 | C4 | — | 10 | 9 | no | — |
| 258 | C3 | D5×H(3,𝔽4) | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 259 | C2 | — | 4 | 6 | no | — |
| 260 | C2 | — | 5 | 4 | no | — |
| 261 | C2 | — | 20 | 6 | no | — |
| 262 | C2 | C3×D5×H(5,𝔽2) | 1 | 3 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|
| 1. C3×C5×H(3,𝔽4) | C2 | semidirect |
| 2. C3×#66017 | C2 | semidirect |
| 3. C3×D5×#124 | C2 | semidirect |
| 4. C3×#65928 | C2 | semidirect |
| 5. C3×D5×#120 | C2 | semidirect |
| 6. D5×H(3,𝔽4) | C3 | direct (N × H) |
| 7. C24×C3×D5 | C22 | semidirect |
| 8. C2×C3×Q8×D5 | C22 | semidirect |
| 10. C3×C5×#124 | C22 | semidirect |
| 11. C3×C5×#120 | C22 | semidirect |
| 12. C3×#4099 | C22 | semidirect |
| 13. C3×#4093 | C22 | semidirect |
| 14. C3×#4083 | C22 | semidirect |
| 15. C3×#4082 | C22 | semidirect |
| 16. C3×#4031 | C22 | semidirect |
| 17. C3×#4028 | C22 | semidirect |
| 18. C3×D5×C22⋊C4 | C22 | semidirect |
| 19. C3×#4021 | C22 | semidirect |
| 20. C3×C42×D5 | C22 | semidirect |
| 22. C5×H(3,𝔽4) | C2×C3 | semidirect |
| 23. #66017 | C2×C3 | semidirect |
| 24. D5×#124 | C2×C3 | semidirect |
| 25. #65928 | C2×C3 | semidirect |
| 26. D5×#120 | C2×C3 | semidirect |
| 27. C24×C3×C5 | C23 | semidirect |
| 30. C23×C3×D5 | C23 | semidirect |
| 31. C2×C3×C5×Q8 | C23 | semidirect |
| 38. C2×C3×Dic10 | C23 | semidirect |
| 39. C3×C5×C22⋊C4 | C23 | semidirect |
| 40. C3×C42×C5 | C23 | semidirect |
| 41. C3×C22⋊Dic5 | C23 | semidirect |
| 42. C3×#685 | C23 | semidirect |
| 43. C3×C4×Dic5 | C23 | semidirect |
| 46. C3×H(3,𝔽4) | D5 | direct (N × H) |
| 49. C24×D5 | C22×C3 | semidirect |
| 50. C2×Q8×D5 | C22×C3 | semidirect |
| 52. C5×#124 | C22×C3 | semidirect |
| 53. C5×#120 | C22×C3 | semidirect |
| 54. #4099 | C22×C3 | semidirect |
| 55. #4093 | C22×C3 | semidirect |
| 56. #4083 | C22×C3 | semidirect |
| 57. #4082 | C22×C3 | semidirect |
| 58. #4031 | C22×C3 | semidirect |
| 59. #4028 | C22×C3 | semidirect |
| 60. D5×C22⋊C4 | C22×C3 | semidirect |
| 61. #4021 | C22×C3 | semidirect |
| 62. C42×D5 | C22×C3 | semidirect |
| 86. C3×#124 | C2×D5 | semidirect |
| 90. C3×#120 | C2×D5 | semidirect |
| 93. C24×C5 | C23×C3 | semidirect |
| 96. C23×D5 | C23×C3 | semidirect |
| 97. C2×C5×Q8 | C23×C3 | semidirect |
| 104. C2×Dic10 | C23×C3 | semidirect |
| 105. C5×C22⋊C4 | C23×C3 | semidirect |
| 106. C42×C5 | C23×C3 | semidirect |
| 107. C22⋊Dic5 | C23×C3 | semidirect |
| 108. #685 | C23×C3 | semidirect |
| 109. C4×Dic5 | C23×C3 | semidirect |
| 112. H(3,𝔽4) | C3×D5 | direct (N × H) |
| 127. C24×C3 | C22×D5 | semidirect |
| 130. C2×C3×Q8 | C22×D5 | semidirect |
| 138. C3×C22⋊C4 | C22×D5 | semidirect |
| 140. C3×C42 | C22×D5 | semidirect |
| 163. #124 | C2×C3×D5 | semidirect |
| 167. #120 | C2×C3×D5 | semidirect |
| 173. C3×D5 | H(3,𝔽4) | direct (N × H) |
| 201. C24 | C22×C3×D5 | semidirect |
| 204. C2×Q8 | C22×C3×D5 | semidirect |
| 212. C22⋊C4 | C22×C3×D5 | semidirect |
| 214. C42 | C22×C3×D5 | semidirect |
| 215. C3×C5 | C2×H(3,𝔽4) | semidirect |
| 228. D5 | C3×H(3,𝔽4) | direct (N × H) |
| 248. C5 | C2×C3×H(3,𝔽4) | semidirect |
| 258. C3 | D5×H(3,𝔽4) | direct (N × H) |
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta