# Extensions 1→N→G→Q→1 with N=C4 and Q=C4×D7

Direct product G=N×Q with N=C4 and Q=C4×D7
dρLabelID
D7×C42112D7xC4^2224,66

Semidirect products G=N:Q with N=C4 and Q=C4×D7
extensionφ:Q→Aut NdρLabelID
C41(C4×D7) = D28⋊C4φ: C4×D7/Dic7C2 ⊆ Aut C4112C4:1(C4xD7)224,88
C42(C4×D7) = C4×D28φ: C4×D7/C28C2 ⊆ Aut C4112C4:2(C4xD7)224,68
C43(C4×D7) = D7×C4⋊C4φ: C4×D7/D14C2 ⊆ Aut C4112C4:3(C4xD7)224,86

Non-split extensions G=N.Q with N=C4 and Q=C4×D7
extensionφ:Q→Aut NdρLabelID
C4.1(C4×D7) = C14.D8φ: C4×D7/Dic7C2 ⊆ Aut C4112C4.1(C4xD7)224,15
C4.2(C4×D7) = C14.Q16φ: C4×D7/Dic7C2 ⊆ Aut C4224C4.2(C4xD7)224,16
C4.3(C4×D7) = D284C4φ: C4×D7/Dic7C2 ⊆ Aut C4564C4.3(C4xD7)224,31
C4.4(C4×D7) = Dic73Q8φ: C4×D7/Dic7C2 ⊆ Aut C4224C4.4(C4xD7)224,82
C4.5(C4×D7) = D28.C4φ: C4×D7/Dic7C2 ⊆ Aut C41124C4.5(C4xD7)224,102
C4.6(C4×D7) = Dic14⋊C4φ: C4×D7/C28C2 ⊆ Aut C4562C4.6(C4xD7)224,11
C4.7(C4×D7) = C28.44D4φ: C4×D7/C28C2 ⊆ Aut C4224C4.7(C4xD7)224,22
C4.8(C4×D7) = C2.D56φ: C4×D7/C28C2 ⊆ Aut C4112C4.8(C4xD7)224,27
C4.9(C4×D7) = C4×Dic14φ: C4×D7/C28C2 ⊆ Aut C4224C4.9(C4xD7)224,63
C4.10(C4×D7) = D28.2C4φ: C4×D7/C28C2 ⊆ Aut C41122C4.10(C4xD7)224,96
C4.11(C4×D7) = C28.Q8φ: C4×D7/D14C2 ⊆ Aut C4224C4.11(C4xD7)224,13
C4.12(C4×D7) = C4.Dic14φ: C4×D7/D14C2 ⊆ Aut C4224C4.12(C4xD7)224,14
C4.13(C4×D7) = C28.53D4φ: C4×D7/D14C2 ⊆ Aut C41124C4.13(C4xD7)224,28
C4.14(C4×D7) = C4⋊C47D7φ: C4×D7/D14C2 ⊆ Aut C4112C4.14(C4xD7)224,87
C4.15(C4×D7) = D7×M4(2)φ: C4×D7/D14C2 ⊆ Aut C4564C4.15(C4xD7)224,101
C4.16(C4×D7) = D7×C16central extension (φ=1)1122C4.16(C4xD7)224,3
C4.17(C4×D7) = C16⋊D7central extension (φ=1)1122C4.17(C4xD7)224,4
C4.18(C4×D7) = C4×C7⋊C8central extension (φ=1)224C4.18(C4xD7)224,8
C4.19(C4×D7) = C42.D7central extension (φ=1)224C4.19(C4xD7)224,9
C4.20(C4×D7) = C8×Dic7central extension (φ=1)224C4.20(C4xD7)224,19
C4.21(C4×D7) = C56⋊C4central extension (φ=1)224C4.21(C4xD7)224,21
C4.22(C4×D7) = C42⋊D7central extension (φ=1)112C4.22(C4xD7)224,67
C4.23(C4×D7) = D7×C2×C8central extension (φ=1)112C4.23(C4xD7)224,94
C4.24(C4×D7) = C2×C8⋊D7central extension (φ=1)112C4.24(C4xD7)224,95

׿
×
𝔽