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
C₂²×C₂.C₄²		128		C2^2xC2.C4^2	128,998

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂.C₄²) = C₂⁴.₁₇Q₈	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2:(C2.C4^2)	128,165

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) = C₂⁴.₅D₄	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.1(C2.C4^2)	128,122
C₂².₂(C₂.C₄²) = C₂³.₂C₄²	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.2(C2.C4^2)	128,123
C₂².₃(C₂.C₄²) = C₂³.₃C₄²	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.3(C2.C4^2)	128,124
C₂².₄(C₂.C₄²) = C₂⁴.₆D₄	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.4(C2.C4^2)	128,125
C₂².₅(C₂.C₄²) = (C₂×Q₈).Q₈	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.5(C2.C4^2)	128,126
C₂².₆(C₂.C₄²) = (C₂²×C₈)⋊C₄	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.6(C2.C4^2)	128,127
C₂².₇(C₂.C₄²) = C₂³.₂₈C₄²	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.7(C2.C4^2)	128,460
C₂².₈(C₂.C₄²) = C₂³.₂₉C₄²	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.8(C2.C4^2)	128,461
C₂².₉(C₂.C₄²) = C₂⁴.₆₃D₄	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.9(C2.C4^2)	128,465
C₂².₁₀(C₂.C₄²) = C₂⁴.₁₃₂D₄	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.10(C2.C4^2)	128,467
C₂².₁₁(C₂.C₄²) = C₂⁴.₁₅₂D₄	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.11(C2.C4^2)	128,468
C₂².₁₂(C₂.C₄²) = C₂⁴.₇Q₈	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.12(C2.C4^2)	128,470
C₂².₁₃(C₂.C₄²) = C₂³.₁₅C₄²	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.13(C2.C4^2)	128,474
C₂².₁₄(C₂.C₄²) = C₂.C₈²	central extension (φ=1)	128		C2^2.14(C2.C4^2)	128,5
C₂².₁₅(C₂.C₄²) = C₄²⋊₁C₈	central extension (φ=1)	32		C2^2.15(C2.C4^2)	128,6
C₂².₁₆(C₂.C₄²) = C₄².₂₀D₄	central extension (φ=1)	64		C2^2.16(C2.C4^2)	128,7
C₂².₁₇(C₂.C₄²) = C₄²⋊₆C₈	central extension (φ=1)	32		C2^2.17(C2.C4^2)	128,8
C₂².₁₈(C₂.C₄²) = C₄².₃₈₅D₄	central extension (φ=1)	128		C2^2.18(C2.C4^2)	128,9
C₂².₁₉(C₂.C₄²) = M₄(2)⋊C₈	central extension (φ=1)	64		C2^2.19(C2.C4^2)	128,10
C₂².₂₀(C₂.C₄²) = C₄².₄₆Q₈	central extension (φ=1)	128		C2^2.20(C2.C4^2)	128,11
C₂².₂₁(C₂.C₄²) = C₂³.₁₉C₄²	central extension (φ=1)	64		C2^2.21(C2.C4^2)	128,12
C₂².₂₂(C₂.C₄²) = C₄².₂Q₈	central extension (φ=1)	64		C2^2.22(C2.C4^2)	128,13
C₂².₂₃(C₂.C₄²) = C₂³.₂₁C₄²	central extension (φ=1)	32		C2^2.23(C2.C4^2)	128,14
C₂².₂₄(C₂.C₄²) = C₄².₃Q₈	central extension (φ=1)	64		C2^2.24(C2.C4^2)	128,15
C₂².₂₅(C₂.C₄²) = C₂×C₂².₇C₄²	central extension (φ=1)	128		C2^2.25(C2.C4^2)	128,459
C₂².₂₆(C₂.C₄²) = C₂×C₄.₉C₄²	central extension (φ=1)	32		C2^2.26(C2.C4^2)	128,462
C₂².₂₇(C₂.C₄²) = C₂×C₄.₁₀C₄²	central extension (φ=1)	32		C2^2.27(C2.C4^2)	128,463
C₂².₂₈(C₂.C₄²) = C₂×C₄²⋊₆C₄	central extension (φ=1)	32		C2^2.28(C2.C4^2)	128,464
C₂².₂₉(C₂.C₄²) = C₂×C₂².₄Q₁₆	central extension (φ=1)	128		C2^2.29(C2.C4^2)	128,466
C₂².₃₀(C₂.C₄²) = C₂×C₄.C₄²	central extension (φ=1)	64		C2^2.30(C2.C4^2)	128,469
C₂².₃₁(C₂.C₄²) = C₂×C₂³.₉D₄	central extension (φ=1)	32		C2^2.31(C2.C4^2)	128,471
C₂².₃₂(C₂.C₄²) = C₂×C₂².C₄²	central extension (φ=1)	64		C2^2.32(C2.C4^2)	128,473
C₂².₃₃(C₂.C₄²) = C₂×M₄(2)⋊₄C₄	central extension (φ=1)	32		C2^2.33(C2.C4^2)	128,475
C₂².₃₄(C₂.C₄²) = C₂⁴.₄₆D₄	central stem extension (φ=1)	32		C2^2.34(C2.C4^2)	128,16
C₂².₃₅(C₂.C₄²) = C₄².₄Q₈	central stem extension (φ=1)	32		C2^2.35(C2.C4^2)	128,17
C₂².₃₆(C₂.C₄²) = C₄².₅Q₈	central stem extension (φ=1)	32		C2^2.36(C2.C4^2)	128,18
C₂².₃₇(C₂.C₄²) = C₄².₂₃D₄	central stem extension (φ=1)	64		C2^2.37(C2.C4^2)	128,19
C₂².₃₈(C₂.C₄²) = C₄².₆Q₈	central stem extension (φ=1)	32		C2^2.38(C2.C4^2)	128,20
C₂².₃₉(C₂.C₄²) = C₂³.₈D₈	central stem extension (φ=1)	32		C2^2.39(C2.C4^2)	128,21
C₂².₄₀(C₂.C₄²) = C₄².₂₅D₄	central stem extension (φ=1)	64		C2^2.40(C2.C4^2)	128,22
C₂².₄₁(C₂.C₄²) = C₄².₂₆D₄	central stem extension (φ=1)	64		C2^2.41(C2.C4^2)	128,23
C₂².₄₂(C₂.C₄²) = C₄².₂₇D₄	central stem extension (φ=1)	64		C2^2.42(C2.C4^2)	128,24
C₂².₄₃(C₂.C₄²) = C₂⁴.₂Q₈	central stem extension (φ=1)	32		C2^2.43(C2.C4^2)	128,25
C₂².₄₄(C₂.C₄²) = C₂³.₃₀D₈	central stem extension (φ=1)	32		C2^2.44(C2.C4^2)	128,26
C₂².₄₅(C₂.C₄²) = C₄².₇Q₈	central stem extension (φ=1)	128		C2^2.45(C2.C4^2)	128,27
C₂².₄₆(C₂.C₄²) = C₄².₈Q₈	central stem extension (φ=1)	128		C2^2.46(C2.C4^2)	128,28
C₂².₄₇(C₂.C₄²) = C₂⁴.₄₈D₄	central stem extension (φ=1)	32		C2^2.47(C2.C4^2)	128,29
C₂².₄₈(C₂.C₄²) = C₂⁴.₃Q₈	central stem extension (φ=1)	32		C2^2.48(C2.C4^2)	128,30
C₂².₄₉(C₂.C₄²) = C₄².₃₈₈D₄	central stem extension (φ=1)	64		C2^2.49(C2.C4^2)	128,31
C₂².₅₀(C₂.C₄²) = C₄².₉Q₈	central stem extension (φ=1)	32		C2^2.50(C2.C4^2)	128,32
C₂².₅₁(C₂.C₄²) = C₄².₃₈₉D₄	central stem extension (φ=1)	64		C2^2.51(C2.C4^2)	128,33
C₂².₅₂(C₂.C₄²) = C₄².₃₇₀D₄	central stem extension (φ=1)	64		C2^2.52(C2.C4^2)	128,34
C₂².₅₃(C₂.C₄²) = C₄².₁₀Q₈	central stem extension (φ=1)	32		C2^2.53(C2.C4^2)	128,35
C₂².₅₄(C₂.C₄²) = C₂⁴.₄Q₈	central stem extension (φ=1)	16		C2^2.54(C2.C4^2)	128,36
C₂².₅₅(C₂.C₄²) = C₂³.C₄²	central stem extension (φ=1)	32		C2^2.55(C2.C4^2)	128,37
C₂².₅₆(C₂.C₄²) = C₂³.₈C₄²	central stem extension (φ=1)	32		C2^2.56(C2.C4^2)	128,38
C₂².₅₇(C₂.C₄²) = C₄².₃₀D₄	central stem extension (φ=1)	64		C2^2.57(C2.C4^2)	128,39
C₂².₅₈(C₂.C₄²) = C₄².₃₁D₄	central stem extension (φ=1)	64		C2^2.58(C2.C4^2)	128,40
C₂².₅₉(C₂.C₄²) = C₄².₃₂D₄	central stem extension (φ=1)	64		C2^2.59(C2.C4^2)	128,41

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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