Extensions 1→N→G→Q→1 with N=C2×C8 and Q=Dic7

Direct product G=N×Q with N=C2×C8 and Q=Dic7
dρLabelID
C2×C8×Dic7448C2xC8xDic7448,632

Semidirect products G=N:Q with N=C2×C8 and Q=Dic7
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊1Dic7 = (C2×C56)⋊C4φ: Dic7/C7C4 ⊆ Aut C2×C81124(C2xC8):1Dic7448,113
(C2×C8)⋊2Dic7 = C23.9D28φ: Dic7/C7C4 ⊆ Aut C2×C81124(C2xC8):2Dic7448,114
(C2×C8)⋊3Dic7 = (C2×C56)⋊5C4φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8):3Dic7448,107
(C2×C8)⋊4Dic7 = C28.9C42φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8):4Dic7448,108
(C2×C8)⋊5Dic7 = C2×C561C4φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8):5Dic7448,639
(C2×C8)⋊6Dic7 = C23.22D28φ: Dic7/C14C2 ⊆ Aut C2×C8224(C2xC8):6Dic7448,640
(C2×C8)⋊7Dic7 = C2×C8⋊Dic7φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8):7Dic7448,638
(C2×C8)⋊8Dic7 = C2×C56⋊C4φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8):8Dic7448,634
(C2×C8)⋊9Dic7 = C28.12C42φ: Dic7/C14C2 ⊆ Aut C2×C8224(C2xC8):9Dic7448,635

Non-split extensions G=N.Q with N=C2×C8 and Q=Dic7
extensionφ:Q→Aut NdρLabelID
(C2×C8).1Dic7 = C28.15C42φ: Dic7/C7C4 ⊆ Aut C2×C81124(C2xC8).1Dic7448,23
(C2×C8).2Dic7 = C56.D4φ: Dic7/C7C4 ⊆ Aut C2×C81124(C2xC8).2Dic7448,110
(C2×C8).3Dic7 = C28.21C42φ: Dic7/C7C4 ⊆ Aut C2×C81124(C2xC8).3Dic7448,117
(C2×C8).4Dic7 = C42.279D14φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8).4Dic7448,11
(C2×C8).5Dic7 = C28⋊C16φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8).5Dic7448,19
(C2×C8).6Dic7 = C56.91D4φ: Dic7/C14C2 ⊆ Aut C2×C8224(C2xC8).6Dic7448,106
(C2×C8).7Dic7 = C28.10C42φ: Dic7/C14C2 ⊆ Aut C2×C8224(C2xC8).7Dic7448,109
(C2×C8).8Dic7 = C561C8φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8).8Dic7448,15
(C2×C8).9Dic7 = C56.16Q8φ: Dic7/C14C2 ⊆ Aut C2×C81122(C2xC8).9Dic7448,20
(C2×C8).10Dic7 = C562C8φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8).10Dic7448,14
(C2×C8).11Dic7 = C2×C56.C4φ: Dic7/C14C2 ⊆ Aut C2×C8224(C2xC8).11Dic7448,641
(C2×C8).12Dic7 = C56⋊C8φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8).12Dic7448,12
(C2×C8).13Dic7 = C56.C8φ: Dic7/C14C2 ⊆ Aut C2×C8448(C2xC8).13Dic7448,18
(C2×C8).14Dic7 = C7⋊M6(2)φ: Dic7/C14C2 ⊆ Aut C2×C82242(C2xC8).14Dic7448,56
(C2×C8).15Dic7 = C2×C28.C8φ: Dic7/C14C2 ⊆ Aut C2×C8224(C2xC8).15Dic7448,631
(C2×C8).16Dic7 = C8×C7⋊C8central extension (φ=1)448(C2xC8).16Dic7448,10
(C2×C8).17Dic7 = C4×C7⋊C16central extension (φ=1)448(C2xC8).17Dic7448,17
(C2×C8).18Dic7 = C2×C7⋊C32central extension (φ=1)448(C2xC8).18Dic7448,55
(C2×C8).19Dic7 = C22×C7⋊C16central extension (φ=1)448(C2xC8).19Dic7448,630

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