Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄⋊C₄

Direct product G=N×Q with N=C₂² and Q=D₄⋊C₄

		d	ρ	Label	ID
C₂²×D₄⋊C₄		64		C2^2xD4:C4	128,1622

Semidirect products G=N:Q with N=C₂² and Q=D₄⋊C₄

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(D₄⋊C₄) = C₂³.₃₈D₈	φ: D₄⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64	C2^2:1(D4:C4)	128,606
C₂²⋊₂(D₄⋊C₄) = C₂³.₂₃D₈	φ: D₄⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64	C2^2:2(D4:C4)	128,625
C₂²⋊₃(D₄⋊C₄) = C₂³.₃₅D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32	C2^2:3(D4:C4)	128,518

Non-split extensions G=N.Q with N=C₂² and Q=D₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄⋊C₄) = C₄².₄₅D₄	φ: D₄⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.1(D4:C4)	128,212
C₂².₂(D₄⋊C₄) = C₂×C₂².SD₁₆	φ: D₄⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₂²	32		C2^2.2(D4:C4)	128,230
C₂².₃(D₄⋊C₄) = C₄².₄₀₉D₄	φ: D₄⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.3(D4:C4)	128,272
C₂².₄(D₄⋊C₄) = C₂³.₃₉D₈	φ: D₄⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.4(D4:C4)	128,871
C₂².₅(D₄⋊C₄) = C₄².₃₁₅D₄	φ: D₄⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.5(D4:C4)	128,224
C₂².₆(D₄⋊C₄) = C₄².₇₈D₄	φ: D₄⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.6(D4:C4)	128,279
C₂².₇(D₄⋊C₄) = C₂³.₂₄D₈	φ: D₄⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.7(D4:C4)	128,870
C₂².₈(D₄⋊C₄) = C₂×D₈.C₄	φ: D₄⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.8(D4:C4)	128,874
C₂².₉(D₄⋊C₄) = C₂³.₂₁SD₁₆	φ: D₄⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.9(D4:C4)	128,880
C₂².₁₀(D₄⋊C₄) = C₄².₅Q₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.10(D4:C4)	128,18
C₂².₁₁(D₄⋊C₄) = C₂³.₈D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.11(D4:C4)	128,21
C₂².₁₂(D₄⋊C₄) = C₄².₁₀Q₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.12(D4:C4)	128,35
C₂².₁₃(D₄⋊C₄) = C₂³.D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	16	8+	C2^2.13(D4:C4)	128,71
C₂².₁₄(D₄⋊C₄) = C₂³.₂D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32	8-	C2^2.14(D4:C4)	128,72
C₂².₁₅(D₄⋊C₄) = C₂³.SD₁₆	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	16	8+	C2^2.15(D4:C4)	128,73
C₂².₁₆(D₄⋊C₄) = C₂³.₂SD₁₆	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32	8-	C2^2.16(D4:C4)	128,74
C₂².₁₇(D₄⋊C₄) = C₂⁴.D₄	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	16		C2^2.17(D4:C4)	128,75
C₂².₁₈(D₄⋊C₄) = C₂³.₄D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.18(D4:C4)	128,76
C₂².₁₉(D₄⋊C₄) = C₂.C₂≀C₄	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.19(D4:C4)	128,77
C₂².₂₀(D₄⋊C₄) = (C₂×C₄).D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.20(D4:C4)	128,78
C₂².₂₁(D₄⋊C₄) = C₈.₁₁C₄²	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.21(D4:C4)	128,115
C₂².₂₂(D₄⋊C₄) = C₂³.₉D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.22(D4:C4)	128,116
C₂².₂₃(D₄⋊C₄) = C₈.₄C₄²	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.23(D4:C4)	128,121
C₂².₂₄(D₄⋊C₄) = D₄⋊M₄(2)	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.24(D4:C4)	128,218
C₂².₂₅(D₄⋊C₄) = C₂⁴.₆₀D₄	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.25(D4:C4)	128,251
C₂².₂₆(D₄⋊C₄) = C₄².₄₁₃D₄	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.26(D4:C4)	128,277
C₂².₂₇(D₄⋊C₄) = C₄².₄₁₄D₄	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	64		C2^2.27(D4:C4)	128,278
C₂².₂₈(D₄⋊C₄) = C₂³.₃₆D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	64		C2^2.28(D4:C4)	128,555
C₂².₂₉(D₄⋊C₄) = C₂³.₄₀D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.29(D4:C4)	128,872
C₂².₃₀(D₄⋊C₄) = C₂³.₄₁D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	64		C2^2.30(D4:C4)	128,873
C₂².₃₁(D₄⋊C₄) = C₂³.₂₀SD₁₆	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.31(D4:C4)	128,875
C₂².₃₂(D₄⋊C₄) = C₂³.₁₃D₈	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.32(D4:C4)	128,877
C₂².₃₃(D₄⋊C₄) = C₂×M₅(2)⋊C₂	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.33(D4:C4)	128,878
C₂².₃₄(D₄⋊C₄) = C₂×C₈.₁₇D₄	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₂²	64		C2^2.34(D4:C4)	128,879
C₂².₃₅(D₄⋊C₄) = (C₂×C₄).₉₈D₈	central extension (φ=1)	64		C2^2.35(D4:C4)	128,2
C₂².₃₆(D₄⋊C₄) = C₄⋊C₄⋊C₈	central extension (φ=1)	128		C2^2.36(D4:C4)	128,3
C₂².₃₇(D₄⋊C₄) = C₄².₄₆Q₈	central extension (φ=1)	128		C2^2.37(D4:C4)	128,11
C₂².₃₈(D₄⋊C₄) = C₂³.₃₀D₈	central extension (φ=1)	32		C2^2.38(D4:C4)	128,26
C₂².₃₉(D₄⋊C₄) = C₄².₈Q₈	central extension (φ=1)	128		C2^2.39(D4:C4)	128,28
C₂².₄₀(D₄⋊C₄) = C₄.₁₆D₁₆	central extension (φ=1)	64		C2^2.40(D4:C4)	128,63
C₂².₄₁(D₄⋊C₄) = Q₁₆⋊₁C₈	central extension (φ=1)	128		C2^2.41(D4:C4)	128,64
C₂².₄₂(D₄⋊C₄) = D₈⋊C₈	central extension (φ=1)	64		C2^2.42(D4:C4)	128,65
C₂².₄₃(D₄⋊C₄) = Q₁₆⋊C₈	central extension (φ=1)	128		C2^2.43(D4:C4)	128,66
C₂².₄₄(D₄⋊C₄) = C₈.₇C₄²	central extension (φ=1)	128		C2^2.44(D4:C4)	128,112
C₂².₄₅(D₄⋊C₄) = C₈.₉C₄²	central extension (φ=1)	64		C2^2.45(D4:C4)	128,114
C₂².₄₆(D₄⋊C₄) = C₈.C₄²	central extension (φ=1)	32		C2^2.46(D4:C4)	128,118
C₂².₄₇(D₄⋊C₄) = C₈.₂C₄²	central extension (φ=1)	64		C2^2.47(D4:C4)	128,119
C₂².₄₈(D₄⋊C₄) = C₂×D₄⋊C₈	central extension (φ=1)	64		C2^2.48(D4:C4)	128,206
C₂².₄₉(D₄⋊C₄) = C₂×C₄.D₈	central extension (φ=1)	64		C2^2.49(D4:C4)	128,270
C₂².₅₀(D₄⋊C₄) = C₂×C₄.₁₀D₈	central extension (φ=1)	128		C2^2.50(D4:C4)	128,271
C₂².₅₁(D₄⋊C₄) = C₂×C₂².₄Q₁₆	central extension (φ=1)	128		C2^2.51(D4:C4)	128,466
C₂².₅₂(D₄⋊C₄) = C₂×C₂.D₁₆	central extension (φ=1)	64		C2^2.52(D4:C4)	128,868
C₂².₅₃(D₄⋊C₄) = C₂×C₂.Q₃₂	central extension (φ=1)	128		C2^2.53(D4:C4)	128,869
C₂².₅₄(D₄⋊C₄) = C₂×D₈⋊₂C₄	central extension (φ=1)	32		C2^2.54(D4:C4)	128,876
C₂².₅₅(D₄⋊C₄) = C₂².SD₃₂	central stem extension (φ=1)	32		C2^2.55(D4:C4)	128,79
C₂².₅₆(D₄⋊C₄) = C₂³.₃₂D₈	central stem extension (φ=1)	32		C2^2.56(D4:C4)	128,80
C₂².₅₇(D₄⋊C₄) = C₂³.₁₂SD₁₆	central stem extension (φ=1)	64		C2^2.57(D4:C4)	128,81
C₂².₅₈(D₄⋊C₄) = C₂³.₁₃SD₁₆	central stem extension (φ=1)	64		C2^2.58(D4:C4)	128,82
C₂².₅₉(D₄⋊C₄) = C₈.₃₀D₈	central stem extension (φ=1)	64		C2^2.59(D4:C4)	128,92
C₂².₆₀(D₄⋊C₄) = C₄.D₁₆	central stem extension (φ=1)	64		C2^2.60(D4:C4)	128,93
C₂².₆₁(D₄⋊C₄) = C₈.₂₇D₈	central stem extension (φ=1)	128		C2^2.61(D4:C4)	128,94
C₂².₆₂(D₄⋊C₄) = C₈.₁₆Q₁₆	central stem extension (φ=1)	128		C2^2.62(D4:C4)	128,95
C₂².₆₃(D₄⋊C₄) = C₄.₁₀D₁₆	central stem extension (φ=1)	128		C2^2.63(D4:C4)	128,96
C₂².₆₄(D₄⋊C₄) = C₄.₆Q₃₂	central stem extension (φ=1)	128		C2^2.64(D4:C4)	128,97

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Extensions 1→N→G→Q→1 with N=C22 and Q=D4⋊C4

Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄⋊C₄