# Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C33⋊C2

Direct product G=N×Q with N=C4 and Q=C2×C33⋊C2
dρLabelID
C2×C4×C33⋊C2216C2xC4xC3^3:C2432,721

Semidirect products G=N:Q with N=C4 and Q=C2×C33⋊C2
extensionφ:Q→Aut NdρLabelID
C41(C2×C33⋊C2) = D4×C33⋊C2φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C4108C4:1(C2xC3^3:C2)432,724
C42(C2×C33⋊C2) = C2×C3312D4φ: C2×C33⋊C2/C32×C6C2 ⊆ Aut C4216C4:2(C2xC3^3:C2)432,722

Non-split extensions G=N.Q with N=C4 and Q=C2×C33⋊C2
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C33⋊C2) = C3315D8φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C4216C4.1(C2xC3^3:C2)432,507
C4.2(C2×C33⋊C2) = C3324SD16φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C4216C4.2(C2xC3^3:C2)432,508
C4.3(C2×C33⋊C2) = C3327SD16φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C4216C4.3(C2xC3^3:C2)432,509
C4.4(C2×C33⋊C2) = C3315Q16φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C4432C4.4(C2xC3^3:C2)432,510
C4.5(C2×C33⋊C2) = C62.100D6φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C4216C4.5(C2xC3^3:C2)432,725
C4.6(C2×C33⋊C2) = Q8×C33⋊C2φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C4216C4.6(C2xC3^3:C2)432,726
C4.7(C2×C33⋊C2) = (Q8×C33)⋊C2φ: C2×C33⋊C2/C33⋊C2C2 ⊆ Aut C4216C4.7(C2xC3^3:C2)432,727
C4.8(C2×C33⋊C2) = C3321SD16φ: C2×C33⋊C2/C32×C6C2 ⊆ Aut C4216C4.8(C2xC3^3:C2)432,498
C4.9(C2×C33⋊C2) = C3312D8φ: C2×C33⋊C2/C32×C6C2 ⊆ Aut C4216C4.9(C2xC3^3:C2)432,499
C4.10(C2×C33⋊C2) = C3312Q16φ: C2×C33⋊C2/C32×C6C2 ⊆ Aut C4432C4.10(C2xC3^3:C2)432,500
C4.11(C2×C33⋊C2) = C2×C338Q8φ: C2×C33⋊C2/C32×C6C2 ⊆ Aut C4432C4.11(C2xC3^3:C2)432,720
C4.12(C2×C33⋊C2) = C8×C33⋊C2central extension (φ=1)216C4.12(C2xC3^3:C2)432,496
C4.13(C2×C33⋊C2) = C3315M4(2)central extension (φ=1)216C4.13(C2xC3^3:C2)432,497
C4.14(C2×C33⋊C2) = C2×C337C8central extension (φ=1)432C4.14(C2xC3^3:C2)432,501
C4.15(C2×C33⋊C2) = C3318M4(2)central extension (φ=1)216C4.15(C2xC3^3:C2)432,502
C4.16(C2×C33⋊C2) = C62.160D6central extension (φ=1)216C4.16(C2xC3^3:C2)432,723

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