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

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

Semidirect products G=N:Q with N=C2×C33⋊C2 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C33⋊C2)⋊1C4 = D6⋊(C32⋊C4)φ: C4/C1C4 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2):1C4432,568
(C2×C33⋊C2)⋊2C4 = C2×S3×C32⋊C4φ: C4/C1C4 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2):2C4432,753
(C2×C33⋊C2)⋊3C4 = C62.79D6φ: C4/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2):3C4432,451
(C2×C33⋊C2)⋊4C4 = C62.148D6φ: C4/C2C2 ⊆ Out C2×C33⋊C2216(C2xC3^3:C2):4C4432,506
(C2×C33⋊C2)⋊5C4 = C2×C338(C2×C4)φ: C4/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2):5C4432,679

Non-split extensions G=N.Q with N=C2×C33⋊C2 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C33⋊C2).1C4 = C335(C2×C8)φ: C4/C1C4 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2).1C4432,571
(C2×C33⋊C2).2C4 = C332M4(2)φ: C4/C1C4 ⊆ Out C2×C33⋊C2248+(C2xC3^3:C2).2C4432,573
(C2×C33⋊C2).3C4 = C12.69S32φ: C4/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).3C4432,432
(C2×C33⋊C2).4C4 = C339M4(2)φ: C4/C2C2 ⊆ Out C2×C33⋊C272(C2xC3^3:C2).4C4432,435
(C2×C33⋊C2).5C4 = C3315M4(2)φ: C4/C2C2 ⊆ Out C2×C33⋊C2216(C2xC3^3:C2).5C4432,497
(C2×C33⋊C2).6C4 = C8×C33⋊C2φ: trivial image216(C2xC3^3:C2).6C4432,496

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