# 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
C42×Dic7448C4^2xDic7448,464

Semidirect products G=N:Q with N=C4 and Q=C4×Dic7
extensionφ:Q→Aut NdρLabelID
C41(C4×Dic7) = C4⋊C4×Dic7φ: C4×Dic7/C2×Dic7C2 ⊆ Aut C4448C4:1(C4xDic7)448,509
C42(C4×Dic7) = C4×C4⋊Dic7φ: C4×Dic7/C2×C28C2 ⊆ Aut C4448C4:2(C4xDic7)448,468

Non-split extensions G=N.Q with N=C4 and Q=C4×Dic7
extensionφ:Q→Aut NdρLabelID
C4.1(C4×Dic7) = C28.C42φ: C4×Dic7/C2×Dic7C2 ⊆ Aut C4448C4.1(C4xDic7)448,86
C4.2(C4×Dic7) = C28.2C42φ: C4×Dic7/C2×Dic7C2 ⊆ Aut C4112C4.2(C4xDic7)448,89
C4.3(C4×Dic7) = C28.3C42φ: C4×Dic7/C2×Dic7C2 ⊆ Aut C4112C4.3(C4xDic7)448,112
C4.4(C4×Dic7) = C28.4C42φ: C4×Dic7/C2×Dic7C2 ⊆ Aut C4224C4.4(C4xDic7)448,115
C4.5(C4×Dic7) = C28.5C42φ: C4×Dic7/C2×Dic7C2 ⊆ Aut C4224C4.5(C4xDic7)448,531
C4.6(C4×Dic7) = M4(2)×Dic7φ: C4×Dic7/C2×Dic7C2 ⊆ Aut C4224C4.6(C4xDic7)448,651
C4.7(C4×Dic7) = C28.7C42φ: C4×Dic7/C2×Dic7C2 ⊆ Aut C4224C4.7(C4xDic7)448,656
C4.8(C4×Dic7) = C28.8C42φ: C4×Dic7/C2×C28C2 ⊆ Aut C4112C4.8(C4xDic7)448,80
C4.9(C4×Dic7) = C28.9C42φ: C4×Dic7/C2×C28C2 ⊆ Aut C4448C4.9(C4xDic7)448,108
C4.10(C4×Dic7) = C28.10C42φ: C4×Dic7/C2×C28C2 ⊆ Aut C4224C4.10(C4xDic7)448,109
C4.11(C4×Dic7) = C4×C4.Dic7φ: C4×Dic7/C2×C28C2 ⊆ Aut C4224C4.11(C4xDic7)448,456
C4.12(C4×Dic7) = C28.12C42φ: C4×Dic7/C2×C28C2 ⊆ Aut C4224C4.12(C4xDic7)448,635
C4.13(C4×Dic7) = C4×C7⋊C16central extension (φ=1)448C4.13(C4xDic7)448,17
C4.14(C4×Dic7) = C56.C8central extension (φ=1)448C4.14(C4xDic7)448,18
C4.15(C4×Dic7) = C16×Dic7central extension (φ=1)448C4.15(C4xDic7)448,57
C4.16(C4×Dic7) = C1129C4central extension (φ=1)448C4.16(C4xDic7)448,59
C4.17(C4×Dic7) = C2×C4×C7⋊C8central extension (φ=1)448C4.17(C4xDic7)448,454
C4.18(C4×Dic7) = C2×C42.D7central extension (φ=1)448C4.18(C4xDic7)448,455
C4.19(C4×Dic7) = C424Dic7central extension (φ=1)448C4.19(C4xDic7)448,466
C4.20(C4×Dic7) = C2×C8×Dic7central extension (φ=1)448C4.20(C4xDic7)448,632
C4.21(C4×Dic7) = C2×C56⋊C4central extension (φ=1)448C4.21(C4xDic7)448,634
C4.22(C4×Dic7) = C28.15C42central stem extension (φ=1)1124C4.22(C4xDic7)448,23
C4.23(C4×Dic7) = C112⋊C4central stem extension (φ=1)1124C4.23(C4xDic7)448,69
C4.24(C4×Dic7) = C42⋊Dic7central stem extension (φ=1)1124C4.24(C4xDic7)448,88
C4.25(C4×Dic7) = C23.9D28central stem extension (φ=1)1124C4.25(C4xDic7)448,114
C4.26(C4×Dic7) = C28.21C42central stem extension (φ=1)1124C4.26(C4xDic7)448,117

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