Finite Group Databasebeta

Groups of order 6720

Selected groups only. The database does not include every group of order 6720 — only a selection is listed here.

165 groups of order 6720 in the database.

SmallGroupsgroup
—C3×C5×C7×C64 #72185836
—C2×C3×C5×C7×C32 #72185838
—C3×C4×C5×C7×C16 #72185839
—C3×C5×C7×C82 #72185840
—C22×C3×C5×C7×C16 #72185841
—C2×C3×C4×C5×C7×C8 #72185842
—C23×C3×C5×C7×C8 #72185843
—C3×C43×C5×C7 #72185844
—C22×C3×C42×C5×C7 #72185845
—C24×C3×C4×C5×C7 #72185846
—C26×C3×C5×C7 #72185847
—D3360 #72211097
—Dic1680 #72212127
—C5×AGL(3,𝔽2) #72213493
—C8×AGL(1,𝔽5)×AGL(1,𝔽7) #72217490
—C23×AGL(1,𝔽5)×AGL(1,𝔽7) #72217657
—C2×C4×AGL(1,𝔽5)×AGL(1,𝔽7) #72217758
—D4×AGL(1,𝔽5)×AGL(1,𝔽7) #72217760
—C2×D4×D5×AGL(1,𝔽7) #72217827
—C2×D4×AGL(1,𝔽5)×ΓL(1,𝔽8) #72217841
—C2×D4×ΓL(1,𝔽8)⋊AGL(1,𝔽5) #72217852
—C2×AGL(1,𝔽5)×C4⋊AGL(1,𝔽7) #72217859
—C2×AGL(1,𝔽5)×(C22⋊D7)⋊C3 #72217860
—C2×#72217707 #72217870
—C2×#72217715 #72217872
—C2×AGL(1,𝔽7)×C4⋊AGL(1,𝔽5) #72217879
—C2×AGL(1,𝔽7)×C22⋊AGL(1,𝔽5) #72217880
—D5×M16×AGL(1,𝔽7) #72217893
—M16×AGL(1,𝔽5)×ΓL(1,𝔽8) #72217901
—M16×ΓL(1,𝔽8)⋊AGL(1,𝔽5) #72217903
—AGL(1,𝔽5)×#1131⋊C3 #72217905
—#72217915
—AGL(1,𝔽7)×#3992 #72217925
—D5×D8×AGL(1,𝔽7) #72217944
—D8×AGL(1,𝔽5)×ΓL(1,𝔽8) #72217953
—D8×ΓL(1,𝔽8)⋊AGL(1,𝔽5) #72217959
—D5×ΓL(1,𝔽8)×AGL(1,ℤ/8) #72217985
—D5×#6474⋊C3 #72218014
—ΓL(1,𝔽8)×#65731 #72218024
—#72218030
—AGL(1,𝔽5)×D56⋊C3 #72218035
—#72218038
—D5×#6471⋊C3 #72218049
—D5×#6477⋊C3 #72218080
—#72218086
—#72218093
—AGL(1,𝔽7)×#3994 #72218100
—ΓL(1,𝔽8)×#65727 #72218107
—#72218111
—ΓL(1,𝔽8)×#65735 #72218117
—#72218122
—#72218128
—#72218134
—#72218137
—#72218142
—D5×C22⋊C4×AGL(1,𝔽7) #72218164
—D5×SD16×AGL(1,𝔽7) #72218165
—SD16×AGL(1,𝔽5)×ΓL(1,𝔽8) #72218168
—C22⋊C4×AGL(1,𝔽5)×ΓL(1,𝔽8) #72218172
—SD16×ΓL(1,𝔽8)⋊AGL(1,𝔽5) #72218173
—AGL(1,𝔽5)×#1132⋊C3 #72218176
—#72218185
—C22⋊C4×ΓL(1,𝔽8)⋊AGL(1,𝔽5) #72218187
—AGL(1,𝔽7)×#3993 #72218191
—AGL(1,𝔽5)×(C22⋊Dic7)⋊C3 #72218196
—AGL(1,𝔽5)×#1136⋊C3 #72218201
—#72218207
—#72218210
—AGL(1,𝔽5)×#1141⋊C3 #72218212
—#72218217
—AGL(1,𝔽5)×(C2×AGL(1,𝔽7))⋊C4 #72218220
—#72218229
—D5×#6495⋊C3 #72218234
—AGL(1,𝔽7)×(C2×AGL(1,𝔽5))⋊C4 #72218238
—#72218239
—#72218241
—D5×#6512⋊C3 #72218250
—#72218254
—#72218257
—#72218261
—C24×D5×AGL(1,𝔽7) #72218264
—#72218265
—#72218269
—C24×AGL(1,𝔽5)×ΓL(1,𝔽8) #72218271
—#72218274
—AGL(1,𝔽5)×#1142⋊C3 #72218278
—C24×ΓL(1,𝔽8)⋊AGL(1,𝔽5) #72218282
—#72218283
—AGL(1,𝔽5)×#1143⋊C3 #72218285
—#72218288
—AGL(1,𝔽7)×D5⋊M16 #72218305
—AGL(1,𝔽7)×#4007 #72218308
—D5×ΓL(1,𝔽8)×#120 #72218311
—ΓL(1,𝔽8)×#65767 #72218312
—#72218316
—#72218319
—ΓL(1,𝔽8)×#65793 #72218324
—#72218329
—#72218332
—D5×#10620789 #72218333
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