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Extensions 1→N→G→Q→1 with N=C4 and Q=C4.Dic7

Direct product G=N×Q with N=C4 and Q=C4.Dic7
dρLabelID
C4×C4.Dic7224C4xC4.Dic7448,456

Semidirect products G=N:Q with N=C4 and Q=C4.Dic7
extensionφ:Q→Aut NdρLabelID
C4⋊1(C4.Dic7) = C28⋊3M4(2)φ: C4.Dic7/C7⋊C8 → C2 ⊆ Aut C4224C4:1(C4.Dic7)448,546
C4⋊2(C4.Dic7) = C28⋊7M4(2)φ: C4.Dic7/C2×C28 → C2 ⊆ Aut C4224C4:2(C4.Dic7)448,458

Non-split extensions G=N.Q with N=C4 and Q=C4.Dic7
extensionφ:Q→Aut NdρLabelID
C4.1(C4.Dic7) = C28.57D8φ: C4.Dic7/C7⋊C8 → C2 ⊆ Aut C4224C4.1(C4.Dic7)448,91
C4.2(C4.Dic7) = C28.26Q16φ: C4.Dic7/C7⋊C8 → C2 ⊆ Aut C4448C4.2(C4.Dic7)448,92
C4.3(C4.Dic7) = C42.210D14φ: C4.Dic7/C7⋊C8 → C2 ⊆ Aut C4448C4.3(C4.Dic7)448,558
C4.4(C4.Dic7) = C56⋊2C8φ: C4.Dic7/C2×C28 → C2 ⊆ Aut C4448C4.4(C4.Dic7)448,14
C4.5(C4.Dic7) = C56⋊1C8φ: C4.Dic7/C2×C28 → C2 ⊆ Aut C4448C4.5(C4.Dic7)448,15
C4.6(C4.Dic7) = C28.15C42φ: C4.Dic7/C2×C28 → C2 ⊆ Aut C41124C4.6(C4.Dic7)448,23
C4.7(C4.Dic7) = C56.D4φ: C4.Dic7/C2×C28 → C2 ⊆ Aut C41124C4.7(C4.Dic7)448,110
C4.8(C4.Dic7) = C42.7Dic7φ: C4.Dic7/C2×C28 → C2 ⊆ Aut C4224C4.8(C4.Dic7)448,460
C4.9(C4.Dic7) = C42.279D14central extension (φ=1)448C4.9(C4.Dic7)448,11
C4.10(C4.Dic7) = C28⋊C16central extension (φ=1)448C4.10(C4.Dic7)448,19
C4.11(C4.Dic7) = C56.91D4central extension (φ=1)224C4.11(C4.Dic7)448,106
C4.12(C4.Dic7) = C42.6Dic7central extension (φ=1)224C4.12(C4.Dic7)448,459

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