Finite Group DatabasebetaFinite Group Databasebeta177 groups of order 216.
| SmallGroups | group |
|---|---|
| (216, 1) | C27⋊C8 #6164 |
| (216, 2) | C8×C27 #6165 |
| (216, 3) | Q8⋊C27 #6166 |
| (216, 4) | Dic54 #6167 |
| (216, 5) | C4×D27 #6168 |
| (216, 6) | D108 #6169 |
| (216, 7) | C2×Dic27 #6170 |
| (216, 8) | #6171 |
| (216, 9) | C2×C4×C27 #6172 |
| (216, 10) | D4×C27 #6173 |
| (216, 11) | Q8×C27 #6174 |
| (216, 12) | C3×C9⋊C8 #6175 |
| (216, 13) | C9×C3⋊C8 #6176 |
| (216, 14) | (C3⋊(C3⋊C8))⋊C3 #6177 |
| (216, 15) | 3−1+2⋊C8 #6178 |
| (216, 16) | C3⋊(C9⋊C8) #6179 |
| (216, 17) | #6180 |
| (216, 18) | C3×C8×C9 #6181 |
| (216, 19) | C8×H(3,𝔽3) #6182 |
| (216, 20) | C8×3−1+2 #6183 |
| (216, 21) | (C22⋊C27)⋊C2 #6184 |
| (216, 22) | C2×C22⋊C27 #6185 |
| (216, 23) | C22×D27 #6186 |
| (216, 24) | C23×C27 #6187 |
| (216, 25) | #6188 |
| (216, 26) | #6189 |
| (216, 27) | Dic3×D9 #6190 |
| (216, 28) | (C3⋊D9)⋊C4 #6191 |
| (216, 29) | #6192 |
| (216, 30) | D3×Dic9 #6193 |
| (216, 31) | #6194 |
| (216, 32) | #6195 |
| (216, 33) | #6196 |
| (216, 34) | ((C3⋊D3)⋊C3)⋊C4 #6197 |
| (216, 35) | #6198 |
| (216, 36) | #6199 |
| (216, 37) | #6200 |
| (216, 38) | C9×SL(2,𝔽3) #6201 |
| (216, 39) | C9⋊SL(2,𝔽3) #6202 |
| (216, 40) | C3×Q8⋊C9 #6203 |
| (216, 41) | #6204 |
| (216, 42) | Q8⋊H(3,𝔽3) #6205 |
| (216, 43) | C3×Dic18 #6206 |
| (216, 44) | C9×Dic6 #6207 |
| (216, 45) | C3×C4×D9 #6208 |
| (216, 46) | C3×D36 #6209 |
| (216, 47) | C4×D3×C9 #6210 |
| (216, 48) | C9×D12 #6211 |
| (216, 49) | #634⋊C3 #6212 |
| (216, 50) | C4×(C3⋊D3)⋊C3 #6213 |
| (216, 51) | C4⋊((C3⋊D3)⋊C3) #6214 |
| (216, 52) | 3−1+2⋊Q8 #6215 |
| (216, 53) | C4×AGL(1,ℤ/9) #6216 |
| (216, 54) | C4⋊AGL(1,ℤ/9) #6217 |
| (216, 55) | C2×C3×Dic9 #6218 |
| (216, 56) | C2×C9×Dic3 #6219 |
| (216, 57) | C3×#611 #6220 |
| (216, 58) | C9×#67 #6221 |
| (216, 59) | C2×(C3⋊Dic3)⋊C3 #6222 |
| (216, 60) | #638⋊C3 #6223 |
| (216, 61) | C2×3−1+2⋊C4 #6224 |
| (216, 62) | #611⋊C3 #6225 |
| (216, 63) | #6226 |
| (216, 64) | C4×C3⋊D9 #6227 |
| (216, 65) | C4⋊(C3⋊D9) #6228 |
| (216, 66) | #6229 |
| (216, 67) | C4×#272 #6230 |
| (216, 68) | C4⋊#272 #6231 |
| (216, 69) | C2×C3⋊Dic9 #6232 |
| (216, 70) | #6233 |
| (216, 71) | C2×#1084 #6234 |
| (216, 72) | #6235 |
| (216, 73) | C2×C3×C4×C9 #6236 |
| (216, 74) | C2×C4×H(3,𝔽3) #6237 |
| (216, 75) | C2×C4×3−1+2 #6238 |
| (216, 76) | C3×D4×C9 #6239 |
| (216, 77) | D4×H(3,𝔽3) #6240 |
| (216, 78) | D4×3−1+2 #6241 |
| (216, 79) | C3×Q8×C9 #6242 |
| (216, 80) | Q8×H(3,𝔽3) #6243 |
| (216, 81) | Q8×3−1+2 #6244 |
| (216, 82) | C32×C3⋊C8 #6245 |
| (216, 83) | C3×C3⋊(C3⋊C8) #6246 |
| (216, 84) | C3⋊(C3⋊(C3⋊C8)) #6247 |
| (216, 85) | C33×C8 #6248 |
| (216, 86) | #6249 |
| (216, 87) | #1088⋊C2 #6250 |
| (216, 88) | SU(3,𝔽2) #6251 |
| (216, 89) | C9×S4 #6252 |
| (216, 90) | ((C22⋊C9)⋊C2)⋊C3 #6253 |
| (216, 91) | C3×(C22⋊C9)⋊C2 #6254 |
| (216, 92) | (C3⋊S4)⋊C3 #6255 |
| (216, 93) | C9⋊S4 #6256 |
| (216, 94) | C3⋊((C22⋊C9)⋊C2) #6257 |
| (216, 95) | #6258 |
| (216, 96) | D9⋊A4 #6259 |
| (216, 97) | A4×D9 #6260 |
| (216, 98) | D3×C22⋊C9 #6261 |
| (216, 99) | (C3⋊D3)⋊A4 #6262 |
| (216, 100) | C2×#1088 #6263 |