Finite Group Databasebeta

Non-abelian indecomposable groups of order 336

81 non-abelian indecomposable groups of order 336.

Groups that are neither abelian nor a non-trivial direct product.

SmallGroupsgroup
(336, 1)ΓL(1,𝔽8)⋊C16 #66532
(336, 5)C3⋊(C7⋊C16) #66536
(336, 8)#1131⋊C3 #66539
(336, 9)#1132⋊C3 #66540
(336, 10)D56⋊C3 #66541
(336, 11)Dic28⋊C3 #66542
(336, 13)#1136⋊C3 #66544
(336, 15)(ΓL(1,𝔽8)⋊C4)⋊C4 #66546
(336, 16)C4⋊(ΓL(1,𝔽8)⋊C4) #66547
(336, 17)(C2×AGL(1,𝔽7))⋊C4 #66548
(336, 18)#1141⋊C3 #66549
(336, 19)#1142⋊C3 #66550
(336, 20)#1143⋊C3 #66551
(336, 21)#1144⋊C3 #66552
(336, 22)(C22⋊Dic7)⋊C3 #66553
(336, 25)D21⋊C8 #66556
(336, 26)#66557
(336, 27)#66558
(336, 28)#66559
(336, 29)#66560
(336, 30)#66561
(336, 31)#66562
(336, 32)#66563
(336, 33)#66564
(336, 34)#66565
(336, 35)#66566
(336, 36)#66567
(336, 37)#66568
(336, 38)#66569
(336, 39)#66570
(336, 40)#66571
(336, 42)(C2×D7)⋊Dic3 #66573
(336, 43)(C2×D3)⋊Dic7 #66574
(336, 44)#66575
(336, 45)Dic7⋊Dic3 #66576
(336, 46)#66577
(336, 47)Dic3⋊Dic7 #66578
(336, 57)C7⋊(C42⋊C3) #66588
(336, 91)#66622
(336, 92)#66623
(336, 93)D168 #66624
(336, 94)Dic84 #66625
(336, 96)#66627
(336, 98)#66629
(336, 99)C4⋊Dic21 #66630
(336, 100)#66631
(336, 101)#66632
(336, 102)#66633
(336, 103)#66634
(336, 104)#66635
(336, 105)#66636
(336, 114)SL(2,𝔽7) #66645
(336, 118)C7⋊#226 #66649
(336, 119)C7⋊GL(2,𝔽3) #66650
(336, 120)C7⋊SL(2,ℤ/4) #66651
(336, 124)#1157⋊C3 #66655
(336, 126)#1159⋊C3 #66657
(336, 128)#66659
(336, 131)#66662
(336, 134)#66665
(336, 135)D7⋊SL(2,𝔽3) #66666
(336, 136)Dic7⋊A4 #66667
(336, 138)#66669
(336, 139)#66670
(336, 141)#66672
(336, 142)#66673
(336, 143)D21⋊Q8 #66674
(336, 144)#66675
(336, 145)#66676
(336, 146)#66677
(336, 150)#66681
(336, 152)#66683
(336, 153)#66684
(336, 155)#66686
(336, 163)#66694
(336, 173)#41⋊ΓL(1,𝔽8) #66704
(336, 197)#66728
(336, 199)#66730
(336, 201)#66732
(336, 208)SO(3,𝔽7) #66739
(336, 224)C22⋊(C22⋊ΓL(1,𝔽8)) #66755

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