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Extensions 1→N→G→Q→1 with N=C4 and Q=C3×C4⋊C4

Direct product G=N×Q with N=C4 and Q=C3×C4⋊C4
dρLabelID
C12×C4⋊C4192C12xC4:C4192,811

Semidirect products G=N:Q with N=C4 and Q=C3×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C3×C4⋊C4) = C3×C42⋊9C4φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4192C4:1(C3xC4:C4)192,817
C4⋊2(C3×C4⋊C4) = C3×C23.65C23φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4192C4:2(C3xC4:C4)192,822

Non-split extensions G=N.Q with N=C4 and Q=C3×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C4.1(C3×C4⋊C4) = C3×C4.9C42φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4484C4.1(C3xC4:C4)192,143
C4.2(C3×C4⋊C4) = C3×C42⋊6C4φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C448C4.2(C3xC4:C4)192,145
C4.3(C3×C4⋊C4) = C3×C22.4Q16φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4192C4.3(C3xC4:C4)192,146
C4.4(C3×C4⋊C4) = C3×C22.C42φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C496C4.4(C3xC4:C4)192,149
C4.5(C3×C4⋊C4) = C3×M4(2)⋊4C4φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4484C4.5(C3xC4:C4)192,150
C4.6(C3×C4⋊C4) = C3×C8.Q8φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4484C4.6(C3xC4:C4)192,171
C4.7(C3×C4⋊C4) = C3×C16⋊3C4φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4192C4.7(C3xC4:C4)192,172
C4.8(C3×C4⋊C4) = C3×C16⋊4C4φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4192C4.8(C3xC4:C4)192,173
C4.9(C3×C4⋊C4) = C3×C8.4Q8φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4962C4.9(C3xC4:C4)192,174
C4.10(C3×C4⋊C4) = C3×C42⋊8C4φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4192C4.10(C3xC4:C4)192,815
C4.11(C3×C4⋊C4) = C3×C4⋊M4(2)φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C496C4.11(C3xC4:C4)192,856
C4.12(C3×C4⋊C4) = C3×C42.6C22φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C496C4.12(C3xC4:C4)192,857
C4.13(C3×C4⋊C4) = C6×C4.Q8φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4192C4.13(C3xC4:C4)192,858
C4.14(C3×C4⋊C4) = C6×C2.D8φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4192C4.14(C3xC4:C4)192,859
C4.15(C3×C4⋊C4) = C3×M4(2)⋊C4φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C496C4.15(C3xC4:C4)192,861
C4.16(C3×C4⋊C4) = C3×M4(2).C4φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C4484C4.16(C3xC4:C4)192,863
C4.17(C3×C4⋊C4) = C3×C22.7C42central extension (φ=1)192C4.17(C3xC4:C4)192,142
C4.18(C3×C4⋊C4) = C3×C4⋊C16central extension (φ=1)192C4.18(C3xC4:C4)192,169
C4.19(C3×C4⋊C4) = C3×C8.C8central extension (φ=1)482C4.19(C3xC4:C4)192,170
C4.20(C3×C4⋊C4) = C6×C4⋊C8central extension (φ=1)192C4.20(C3xC4:C4)192,855
C4.21(C3×C4⋊C4) = C3×C23.25D4central extension (φ=1)96C4.21(C3xC4:C4)192,860
C4.22(C3×C4⋊C4) = C6×C8.C4central extension (φ=1)96C4.22(C3xC4:C4)192,862

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