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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⋊Dic7448C4xC4:Dic7448,468

Semidirect products G=N:Q with N=C4 and Q=C4⋊Dic7
extensionφ:Q→Aut NdρLabelID
C4⋊1(C4⋊Dic7) = C4⋊(C4⋊Dic7)φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C4448C4:1(C4:Dic7)448,519
C4⋊2(C4⋊Dic7) = C42⋊8Dic7φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C4448C4:2(C4:Dic7)448,469

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×Dic7 → C2 ⊆ Aut C4448C4.1(C4:Dic7)448,86
C4.2(C4⋊Dic7) = C28.2C42φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C4112C4.2(C4:Dic7)448,89
C4.3(C4⋊Dic7) = M4(2)⋊Dic7φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C4224C4.3(C4:Dic7)448,111
C4.4(C4⋊Dic7) = M4(2)⋊4Dic7φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C41124C4.4(C4:Dic7)448,116
C4.5(C4⋊Dic7) = C42.43D14φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C4224C4.5(C4:Dic7)448,533
C4.6(C4⋊Dic7) = C23.47D28φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C4224C4.6(C4:Dic7)448,655
C4.7(C4⋊Dic7) = M4(2).Dic7φ: C4⋊Dic7/C2×Dic7 → C2 ⊆ Aut C41124C4.7(C4:Dic7)448,659
C4.8(C4⋊Dic7) = C112⋊5C4φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C4448C4.8(C4:Dic7)448,61
C4.9(C4⋊Dic7) = C112⋊6C4φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C4448C4.9(C4:Dic7)448,62
C4.10(C4⋊Dic7) = C112.C4φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C42242C4.10(C4:Dic7)448,63
C4.11(C4⋊Dic7) = C16⋊Dic7φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C41124C4.11(C4:Dic7)448,70
C4.12(C4⋊Dic7) = C42⋊Dic7φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C41124C4.12(C4:Dic7)448,88
C4.13(C4⋊Dic7) = (C2×C56)⋊C4φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C41124C4.13(C4:Dic7)448,113
C4.14(C4⋊Dic7) = C28⋊7M4(2)φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C4224C4.14(C4:Dic7)448,458
C4.15(C4⋊Dic7) = C42⋊9Dic7φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C4448C4.15(C4:Dic7)448,470
C4.16(C4⋊Dic7) = C2×C8⋊Dic7φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C4448C4.16(C4:Dic7)448,638
C4.17(C4⋊Dic7) = C2×C56⋊1C4φ: C4⋊Dic7/C2×C28 → C2 ⊆ Aut C4448C4.17(C4:Dic7)448,639
C4.18(C4⋊Dic7) = C28⋊C16central extension (φ=1)448C4.18(C4:Dic7)448,19
C4.19(C4⋊Dic7) = C56.16Q8central extension (φ=1)1122C4.19(C4:Dic7)448,20
C4.20(C4⋊Dic7) = C28.8C42central extension (φ=1)112C4.20(C4:Dic7)448,80
C4.21(C4⋊Dic7) = (C2×C56)⋊5C4central extension (φ=1)448C4.21(C4:Dic7)448,107
C4.22(C4⋊Dic7) = C2×C28⋊C8central extension (φ=1)448C4.22(C4:Dic7)448,457
C4.23(C4⋊Dic7) = C23.22D28central extension (φ=1)224C4.23(C4:Dic7)448,640
C4.24(C4⋊Dic7) = C2×C56.C4central extension (φ=1)224C4.24(C4:Dic7)448,641

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