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Extensions 1→N→G→Q→1 with N=C2×C7⋊C12 and Q=C2

Direct product G=N×Q with N=C2×C7⋊C12 and Q=C2
dρLabelID
C22×C7⋊C12112C2^2xC7:C12336,129

Semidirect products G=N:Q with N=C2×C7⋊C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C12)⋊1C2 = D14⋊C12φ: C2/C1 → C2 ⊆ Out C2×C7⋊C1256(C2xC7:C12):1C2336,17
(C2×C7⋊C12)⋊2C2 = C23.2F7φ: C2/C1 → C2 ⊆ Out C2×C7⋊C1256(C2xC7:C12):2C2336,22
(C2×C7⋊C12)⋊3C2 = D4⋊2F7φ: C2/C1 → C2 ⊆ Out C2×C7⋊C125612-(C2xC7:C12):3C2336,126
(C2×C7⋊C12)⋊4C2 = C2×Dic7⋊C6φ: C2/C1 → C2 ⊆ Out C2×C7⋊C1256(C2xC7:C12):4C2336,130
(C2×C7⋊C12)⋊5C2 = C2×C4×F7φ: trivial image56(C2xC7:C12):5C2336,122

Non-split extensions G=N.Q with N=C2×C7⋊C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C12).1C2 = Dic7⋊C12φ: C2/C1 → C2 ⊆ Out C2×C7⋊C12112(C2xC7:C12).1C2336,15
(C2×C7⋊C12).2C2 = C28⋊C12φ: C2/C1 → C2 ⊆ Out C2×C7⋊C12112(C2xC7:C12).2C2336,16
(C2×C7⋊C12).3C2 = C2×C4.F7φ: C2/C1 → C2 ⊆ Out C2×C7⋊C12112(C2xC7:C12).3C2336,121
(C2×C7⋊C12).4C2 = C4×C7⋊C12φ: trivial image112(C2xC7:C12).4C2336,14

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