Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₄²

Direct product G=N×Q with N=C₂² and Q=C₂×C₄²

		d	ρ	Label	ID
C₂³×C₄²		128		C2^3xC4^2	128,2150

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂×C₄²) = D₄×C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₂²	64		C2^2:1(C2xC4^2)	128,1003
C₂²⋊₂(C₂×C₄²) = C₂×C₄×C₂²⋊C₄	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2:2(C2xC4^2)	128,1000

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×C₄²) = D₄⋊₄C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.1(C2xC4^2)	128,1007
C₂².₂(C₂×C₄²) = C₄×C₈○D₄	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.2(C2xC4^2)	128,1606
C₂².₃(C₂×C₄²) = D₄.₅C₄²	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.3(C2xC4^2)	128,1607
C₂².₄(C₂×C₄²) = C₂×C₂³.₉D₄	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.4(C2xC4^2)	128,471
C₂².₅(C₂×C₄²) = C₂⁴.₁₆₂C₂³	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.5(C2xC4^2)	128,472
C₂².₆(C₂×C₄²) = C₂×C₂².C₄²	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.6(C2xC4^2)	128,473
C₂².₇(C₂×C₄²) = C₂³.₁₅C₄²	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.7(C2xC4^2)	128,474
C₂².₈(C₂×C₄²) = C₂×M₄(2)⋊₄C₄	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.8(C2xC4^2)	128,475
C₂².₉(C₂×C₄²) = C₄×C₂³⋊C₄	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.9(C2xC4^2)	128,486
C₂².₁₀(C₂×C₄²) = C₄×C₄.D₄	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.10(C2xC4^2)	128,487
C₂².₁₁(C₂×C₄²) = C₄×C₄.₁₀D₄	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.11(C2xC4^2)	128,488
C₂².₁₂(C₂×C₄²) = C₂³.₅C₄²	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.12(C2xC4^2)	128,489
C₂².₁₃(C₂×C₄²) = C₄×C₄²⋊C₂	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.13(C2xC4^2)	128,1002
C₂².₁₄(C₂×C₄²) = C₂³⋊C₄²	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.14(C2xC4^2)	128,1005
C₂².₁₅(C₂×C₄²) = C₂⁴.₅₂₄C₂³	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.15(C2xC4^2)	128,1006
C₂².₁₆(C₂×C₄²) = C₂×C₄×M₄(2)	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.16(C2xC4^2)	128,1603
C₂².₁₇(C₂×C₄²) = C₂×C₈○₂M₄(2)	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.17(C2xC4^2)	128,1604
C₂².₁₈(C₂×C₄²) = M₄(2)○₂M₄(2)	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.18(C2xC4^2)	128,1605
C₂².₁₉(C₂×C₄²) = C₄×C₂.C₄²	central extension (φ=1)	128		C2^2.19(C2xC4^2)	128,164
C₂².₂₀(C₂×C₄²) = C₂×C₈⋊C₈	central extension (φ=1)	128		C2^2.20(C2xC4^2)	128,180
C₂².₂₁(C₂×C₄²) = C₈×M₄(2)	central extension (φ=1)	64		C2^2.21(C2xC4^2)	128,181
C₂².₂₂(C₂×C₄²) = C₈²⋊C₂	central extension (φ=1)	64		C2^2.22(C2xC4^2)	128,182
C₂².₂₃(C₂×C₄²) = C₄×C₈⋊C₄	central extension (φ=1)	128		C2^2.23(C2xC4^2)	128,457
C₂².₂₄(C₂×C₄²) = C₂.C₄³	central extension (φ=1)	128		C2^2.24(C2xC4^2)	128,458
C₂².₂₅(C₂×C₄²) = C₂×C₂².₇C₄²	central extension (φ=1)	128		C2^2.25(C2xC4^2)	128,459
C₂².₂₆(C₂×C₄²) = C₄²⋊₄C₈	central extension (φ=1)	128		C2^2.26(C2xC4^2)	128,476
C₂².₂₇(C₂×C₄²) = C₄×C₂²⋊C₈	central extension (φ=1)	64		C2^2.27(C2xC4^2)	128,480
C₂².₂₈(C₂×C₄²) = C₈×C₂²⋊C₄	central extension (φ=1)	64		C2^2.28(C2xC4^2)	128,483
C₂².₂₉(C₂×C₄²) = C₄×C₄⋊C₈	central extension (φ=1)	128		C2^2.29(C2xC4^2)	128,498
C₂².₃₀(C₂×C₄²) = C₈×C₄⋊C₄	central extension (φ=1)	128		C2^2.30(C2xC4^2)	128,501
C₂².₃₁(C₂×C₄²) = C₂²×C₂.C₄²	central extension (φ=1)	128		C2^2.31(C2xC4^2)	128,998
C₂².₃₂(C₂×C₄²) = C₂×C₄²⋊₄C₄	central extension (φ=1)	128		C2^2.32(C2xC4^2)	128,999
C₂².₃₃(C₂×C₄²) = C₂×C₄×C₄⋊C₄	central extension (φ=1)	128		C2^2.33(C2xC4^2)	128,1001
C₂².₃₄(C₂×C₄²) = C₂²×C₈⋊C₄	central extension (φ=1)	128		C2^2.34(C2xC4^2)	128,1602
C₂².₃₅(C₂×C₄²) = C₂⁴.₁₇Q₈	central stem extension (φ=1)	64		C2^2.35(C2xC4^2)	128,165
C₂².₃₆(C₂×C₄²) = C₂⁴.₆₂₄C₂³	central stem extension (φ=1)	128		C2^2.36(C2xC4^2)	128,166
C₂².₃₇(C₂×C₄²) = C₂⁴.₆₂₅C₂³	central stem extension (φ=1)	128		C2^2.37(C2xC4^2)	128,167
C₂².₃₈(C₂×C₄²) = C₂⁴.₆₂₆C₂³	central stem extension (φ=1)	128		C2^2.38(C2xC4^2)	128,168
C₂².₃₉(C₂×C₄²) = C₂³⋊₂C₄²	central stem extension (φ=1)	64		C2^2.39(C2xC4^2)	128,169
C₂².₄₀(C₂×C₄²) = C₈⋊₉M₄(2)	central stem extension (φ=1)	64		C2^2.40(C2xC4^2)	128,183
C₂².₄₁(C₂×C₄²) = C₂³.₂₇C₄²	central stem extension (φ=1)	64		C2^2.41(C2xC4^2)	128,184
C₂².₄₂(C₂×C₄²) = C₈²⋊₁₅C₂	central stem extension (φ=1)	64		C2^2.42(C2xC4^2)	128,185
C₂².₄₃(C₂×C₄²) = C₈²⋊₂C₂	central stem extension (φ=1)	64		C2^2.43(C2xC4^2)	128,186
C₂².₄₄(C₂×C₄²) = C₈⋊₆M₄(2)	central stem extension (φ=1)	64		C2^2.44(C2xC4^2)	128,187
C₂².₄₅(C₂×C₄²) = C₂³.₂₈C₄²	central stem extension (φ=1)	64		C2^2.45(C2xC4^2)	128,460
C₂².₄₆(C₂×C₄²) = C₂³.₂₉C₄²	central stem extension (φ=1)	64		C2^2.46(C2xC4^2)	128,461
C₂².₄₇(C₂×C₄²) = C₄³.C₂	central stem extension (φ=1)	128		C2^2.47(C2xC4^2)	128,477
C₂².₄₈(C₂×C₄²) = (C₄×C₈)⋊₁₂C₄	central stem extension (φ=1)	128		C2^2.48(C2xC4^2)	128,478
C₂².₄₉(C₂×C₄²) = C₄².₃₇₈D₄	central stem extension (φ=1)	64		C2^2.49(C2xC4^2)	128,481
C₂².₅₀(C₂×C₄²) = C₄².₃₇₉D₄	central stem extension (φ=1)	64		C2^2.50(C2xC4^2)	128,482
C₂².₅₁(C₂×C₄²) = C₂³.₃₆C₄²	central stem extension (φ=1)	64		C2^2.51(C2xC4^2)	128,484
C₂².₅₂(C₂×C₄²) = C₂³.₁₇C₄²	central stem extension (φ=1)	64		C2^2.52(C2xC4^2)	128,485
C₂².₅₃(C₂×C₄²) = C₄³.₇C₂	central stem extension (φ=1)	128		C2^2.53(C2xC4^2)	128,499
C₂².₅₄(C₂×C₄²) = C₄².₄₅Q₈	central stem extension (φ=1)	128		C2^2.54(C2xC4^2)	128,500
C₂².₅₅(C₂×C₄²) = C₄⋊C₈⋊₁₃C₄	central stem extension (φ=1)	128		C2^2.55(C2xC4^2)	128,502
C₂².₅₆(C₂×C₄²) = C₄⋊C₈⋊₁₄C₄	central stem extension (φ=1)	128		C2^2.56(C2xC4^2)	128,503

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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C42

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₄²