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

Direct product G=N×Q with N=C₂² and Q=C₄⋊₁D₄

		d	ρ	Label	ID
C₂²×C₄⋊₁D₄		64		C2^2xC4:1D4	128,2172

Semidirect products G=N:Q with N=C₂² and Q=C₄⋊₁D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₄⋊₁D₄) = C₄²⋊₄₇D₄	φ: C₄⋊₁D₄/C₄² → C₂ ⊆ Aut C₂²	64		C2^2:1(C4:1D4)	128,1588
C₂²⋊₂(C₄⋊₁D₄) = C₂³.₃₃₃C₂⁴	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2:2(C4:1D4)	128,1165

Non-split extensions G=N.Q with N=C₂² and Q=C₄⋊₁D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₄⋊₁D₄) = C₂³.₅₅₆C₂⁴	φ: C₄⋊₁D₄/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.1(C4:1D4)	128,1388
C₂².₂(C₄⋊₁D₄) = C₄².₃₆₀D₄	φ: C₄⋊₁D₄/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.2(C4:1D4)	128,1879
C₂².₃(C₄⋊₁D₄) = C₄².₂₄₇D₄	φ: C₄⋊₁D₄/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.3(C4:1D4)	128,1882
C₂².₄(C₄⋊₁D₄) = C₂⁴.₁₇₅C₂³	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.4(C4:1D4)	128,696
C₂².₅(C₄⋊₁D₄) = M₄(2).₃₀D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.5(C4:1D4)	128,708
C₂².₆(C₄⋊₁D₄) = M₄(2)⋊₁₃D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.6(C4:1D4)	128,712
C₂².₇(C₄⋊₁D₄) = M₄(2)⋊D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.7(C4:1D4)	128,738
C₂².₈(C₄⋊₁D₄) = M₄(2)⋊₄D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.8(C4:1D4)	128,739
C₂².₉(C₄⋊₁D₄) = M₄(2)⋊₅D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	16	8+	C2^2.9(C4:1D4)	128,740
C₂².₁₀(C₄⋊₁D₄) = M₄(2).D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32	8-	C2^2.10(C4:1D4)	128,741
C₂².₁₁(C₄⋊₁D₄) = C₂⁴⋊D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	16		C2^2.11(C4:1D4)	128,753
C₂².₁₂(C₄⋊₁D₄) = C₂⁴.₃₁D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.12(C4:1D4)	128,754
C₂².₁₃(C₄⋊₁D₄) = C₂³.₄₀₁C₂⁴	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	64		C2^2.13(C4:1D4)	128,1233
C₂².₁₄(C₄⋊₁D₄) = C₂³.₄₃₉C₂⁴	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.14(C4:1D4)	128,1271
C₂².₁₅(C₄⋊₁D₄) = M₄(2)⋊₇D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.15(C4:1D4)	128,1883
C₂².₁₆(C₄⋊₁D₄) = M₄(2)⋊₈D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	64		C2^2.16(C4:1D4)	128,1884
C₂².₁₇(C₄⋊₁D₄) = M₄(2)⋊₉D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.17(C4:1D4)	128,1885
C₂².₁₈(C₄⋊₁D₄) = M₄(2)⋊₁₀D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.18(C4:1D4)	128,1886
C₂².₁₉(C₄⋊₁D₄) = M₄(2)⋊₁₁D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	32		C2^2.19(C4:1D4)	128,1887
C₂².₂₀(C₄⋊₁D₄) = M₄(2).₂₀D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₂²	64		C2^2.20(C4:1D4)	128,1888
C₂².₂₁(C₄⋊₁D₄) = C₂⁴.₆₂₅C₂³	central extension (φ=1)	128		C2^2.21(C4:1D4)	128,167
C₂².₂₂(C₄⋊₁D₄) = C₂³⋊₂C₄²	central extension (φ=1)	64		C2^2.22(C4:1D4)	128,169
C₂².₂₃(C₄⋊₁D₄) = C₂⁴.₅₀D₄	central extension (φ=1)	64		C2^2.23(C4:1D4)	128,170
C₂².₂₄(C₄⋊₁D₄) = C₂⁴.₅Q₈	central extension (φ=1)	64		C2^2.24(C4:1D4)	128,171
C₂².₂₅(C₄⋊₁D₄) = C₂⁴.₆₃₄C₂³	central extension (φ=1)	128		C2^2.25(C4:1D4)	128,176
C₂².₂₆(C₄⋊₁D₄) = C₂⁴.₆₃₅C₂³	central extension (φ=1)	128		C2^2.26(C4:1D4)	128,177
C₂².₂₇(C₄⋊₁D₄) = C₄².₅₈Q₈	central extension (φ=1)	128		C2^2.27(C4:1D4)	128,576
C₂².₂₈(C₄⋊₁D₄) = C₄².₅₉Q₈	central extension (φ=1)	128		C2^2.28(C4:1D4)	128,577
C₂².₂₉(C₄⋊₁D₄) = C₄².₆₀Q₈	central extension (φ=1)	128		C2^2.29(C4:1D4)	128,578
C₂².₃₀(C₄⋊₁D₄) = C₄².₂₆Q₈	central extension (φ=1)	128		C2^2.30(C4:1D4)	128,579
C₂².₃₁(C₄⋊₁D₄) = C₄².₄₃₁D₄	central extension (φ=1)	128		C2^2.31(C4:1D4)	128,688
C₂².₃₂(C₄⋊₁D₄) = C₄².₄₃₂D₄	central extension (φ=1)	64		C2^2.32(C4:1D4)	128,689
C₂².₃₃(C₄⋊₁D₄) = C₄².₄₃₃D₄	central extension (φ=1)	64		C2^2.33(C4:1D4)	128,690
C₂².₃₄(C₄⋊₁D₄) = C₄².₁₁₀D₄	central extension (φ=1)	64		C2^2.34(C4:1D4)	128,691
C₂².₃₅(C₄⋊₁D₄) = C₄².₁₁₁D₄	central extension (φ=1)	128		C2^2.35(C4:1D4)	128,692
C₂².₃₆(C₄⋊₁D₄) = C₄².₁₁₂D₄	central extension (φ=1)	64		C2^2.36(C4:1D4)	128,693
C₂².₃₇(C₄⋊₁D₄) = (C₂×C₄)⋊₉SD₁₆	central extension (φ=1)	64		C2^2.37(C4:1D4)	128,700
C₂².₃₈(C₄⋊₁D₄) = (C₂×C₄)⋊₆Q₁₆	central extension (φ=1)	128		C2^2.38(C4:1D4)	128,701
C₂².₃₉(C₄⋊₁D₄) = (C₂×C₄)⋊₆D₈	central extension (φ=1)	64		C2^2.39(C4:1D4)	128,702
C₂².₄₀(C₄⋊₁D₄) = (C₂×Q₁₆)⋊₁₀C₄	central extension (φ=1)	128		C2^2.40(C4:1D4)	128,703
C₂².₄₁(C₄⋊₁D₄) = (C₂×D₈)⋊₁₀C₄	central extension (φ=1)	64		C2^2.41(C4:1D4)	128,704
C₂².₄₂(C₄⋊₁D₄) = C₈⋊(C₂²⋊C₄)	central extension (φ=1)	64		C2^2.42(C4:1D4)	128,705
C₂².₄₃(C₄⋊₁D₄) = C₂×C₄²⋊₉C₄	central extension (φ=1)	128		C2^2.43(C4:1D4)	128,1016
C₂².₄₄(C₄⋊₁D₄) = C₂×C₂⁴.₃C₂²	central extension (φ=1)	64		C2^2.44(C4:1D4)	128,1024
C₂².₄₅(C₄⋊₁D₄) = C₂×C₂³⋊₂D₄	central extension (φ=1)	64		C2^2.45(C4:1D4)	128,1116
C₂².₄₆(C₄⋊₁D₄) = C₂×C₂³.₄Q₈	central extension (φ=1)	64		C2^2.46(C4:1D4)	128,1125
C₂².₄₇(C₄⋊₁D₄) = C₂×C₈⋊₅D₄	central extension (φ=1)	64		C2^2.47(C4:1D4)	128,1875
C₂².₄₈(C₄⋊₁D₄) = C₂×C₈⋊₄D₄	central extension (φ=1)	64		C2^2.48(C4:1D4)	128,1876
C₂².₄₉(C₄⋊₁D₄) = C₂×C₄⋊Q₁₆	central extension (φ=1)	128		C2^2.49(C4:1D4)	128,1877
C₂².₅₀(C₄⋊₁D₄) = C₂×C₈.₁₂D₄	central extension (φ=1)	64		C2^2.50(C4:1D4)	128,1878
C₂².₅₁(C₄⋊₁D₄) = C₂×C₈⋊₃D₄	central extension (φ=1)	64		C2^2.51(C4:1D4)	128,1880
C₂².₅₂(C₄⋊₁D₄) = C₂×C₈.₂D₄	central extension (φ=1)	64		C2^2.52(C4:1D4)	128,1881
C₂².₅₃(C₄⋊₁D₄) = C₈⋊₈SD₁₆	central stem extension (φ=1)	64		C2^2.53(C4:1D4)	128,437
C₂².₅₄(C₄⋊₁D₄) = C₈⋊₅D₈	central stem extension (φ=1)	64		C2^2.54(C4:1D4)	128,438
C₂².₅₅(C₄⋊₁D₄) = C₈⋊₅Q₁₆	central stem extension (φ=1)	128		C2^2.55(C4:1D4)	128,439
C₂².₅₆(C₄⋊₁D₄) = C₈²⋊₁₂C₂	central stem extension (φ=1)	64		C2^2.56(C4:1D4)	128,440
C₂².₅₇(C₄⋊₁D₄) = C₈²⋊₅C₂	central stem extension (φ=1)	64		C2^2.57(C4:1D4)	128,441
C₂².₅₈(C₄⋊₁D₄) = C₈.₇Q₁₆	central stem extension (φ=1)	128		C2^2.58(C4:1D4)	128,442
C₂².₅₉(C₄⋊₁D₄) = C₈²⋊₃C₂	central stem extension (φ=1)	64		C2^2.59(C4:1D4)	128,443
C₂².₆₀(C₄⋊₁D₄) = C₈⋊₄D₈	central stem extension (φ=1)	64		C2^2.60(C4:1D4)	128,444
C₂².₆₁(C₄⋊₁D₄) = C₈⋊₄Q₁₆	central stem extension (φ=1)	128		C2^2.61(C4:1D4)	128,445
C₂².₆₂(C₄⋊₁D₄) = C₈⋊₅SD₁₆	central stem extension (φ=1)	64		C2^2.62(C4:1D4)	128,446
C₂².₆₃(C₄⋊₁D₄) = C₈⋊₆SD₁₆	central stem extension (φ=1)	64		C2^2.63(C4:1D4)	128,447
C₂².₆₄(C₄⋊₁D₄) = C₈.₉SD₁₆	central stem extension (φ=1)	128		C2^2.64(C4:1D4)	128,448
C₂².₆₅(C₄⋊₁D₄) = C₄².₆₆₄C₂³	central stem extension (φ=1)	64		C2^2.65(C4:1D4)	128,449
C₂².₆₆(C₄⋊₁D₄) = C₄².₆₆₅C₂³	central stem extension (φ=1)	128		C2^2.66(C4:1D4)	128,450
C₂².₆₇(C₄⋊₁D₄) = C₄².₆₆₆C₂³	central stem extension (φ=1)	64		C2^2.67(C4:1D4)	128,451
C₂².₆₈(C₄⋊₁D₄) = C₄².₆₆₇C₂³	central stem extension (φ=1)	64		C2^2.68(C4:1D4)	128,452
C₂².₆₉(C₄⋊₁D₄) = C₈⋊₃D₈	central stem extension (φ=1)	64		C2^2.69(C4:1D4)	128,453
C₂².₇₀(C₄⋊₁D₄) = C₈.₂D₈	central stem extension (φ=1)	64		C2^2.70(C4:1D4)	128,454
C₂².₇₁(C₄⋊₁D₄) = C₈⋊₃Q₁₆	central stem extension (φ=1)	128		C2^2.71(C4:1D4)	128,455
C₂².₇₂(C₄⋊₁D₄) = (C₂×C₄)⋊₂D₈	central stem extension (φ=1)	64		C2^2.72(C4:1D4)	128,743
C₂².₇₃(C₄⋊₁D₄) = (C₂²×D₈).C₂	central stem extension (φ=1)	64		C2^2.73(C4:1D4)	128,744
C₂².₇₄(C₄⋊₁D₄) = (C₂×C₄)⋊₃SD₁₆	central stem extension (φ=1)	64		C2^2.74(C4:1D4)	128,745
C₂².₇₅(C₄⋊₁D₄) = (C₂×C₈)⋊₂₀D₄	central stem extension (φ=1)	64		C2^2.75(C4:1D4)	128,746
C₂².₇₆(C₄⋊₁D₄) = (C₂×C₈).₄₁D₄	central stem extension (φ=1)	64		C2^2.76(C4:1D4)	128,747
C₂².₇₇(C₄⋊₁D₄) = (C₂×C₄)⋊₂Q₁₆	central stem extension (φ=1)	128		C2^2.77(C4:1D4)	128,748
C₂².₇₈(C₄⋊₁D₄) = (C₂×C₈).₁₆₈D₄	central stem extension (φ=1)	64		C2^2.78(C4:1D4)	128,824
C₂².₇₉(C₄⋊₁D₄) = (C₂×C₄).₂₇D₈	central stem extension (φ=1)	64		C2^2.79(C4:1D4)	128,825
C₂².₈₀(C₄⋊₁D₄) = (C₂×C₈).₁₆₉D₄	central stem extension (φ=1)	64		C2^2.80(C4:1D4)	128,826
C₂².₈₁(C₄⋊₁D₄) = (C₂×C₈).₆₀D₄	central stem extension (φ=1)	128		C2^2.81(C4:1D4)	128,827
C₂².₈₂(C₄⋊₁D₄) = (C₂×C₈).₁₇₀D₄	central stem extension (φ=1)	128		C2^2.82(C4:1D4)	128,828
C₂².₈₃(C₄⋊₁D₄) = (C₂×C₈).₁₇₁D₄	central stem extension (φ=1)	128		C2^2.83(C4:1D4)	128,829

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

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