Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²⋊C₈

Direct product G=N×Q with N=C₂² and Q=C₂²⋊C₈

		d	ρ	Label	ID
C₂²×C₂²⋊C₈		64		C2^2xC2^2:C8	128,1608

Semidirect products G=N:Q with N=C₂² and Q=C₂²⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂²⋊C₈) = C₂³.₂₂M₄(2)	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2:1(C2^2:C8)	128,601
C₂²⋊₂(C₂²⋊C₈) = C₂⁴⋊₃C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2:2(C2^2:C8)	128,511

Non-split extensions G=N.Q with N=C₂² and Q=C₂²⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²⋊C₈) = C₂³.₈M₄(2)	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₂²	32		C2^2.1(C2^2:C8)	128,191
C₂².₂(C₂²⋊C₈) = C₄².₄₅₅D₄	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.2(C2^2:C8)	128,208
C₂².₃(C₂²⋊C₈) = C₄².₃₉₇D₄	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.3(C2^2:C8)	128,209
C₂².₄(C₂²⋊C₈) = (C₂×D₄).₅C₈	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.4(C2^2:C8)	128,845
C₂².₅(C₂²⋊C₈) = M₅(2).₁₉C₂²	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.5(C2^2:C8)	128,847
C₂².₆(C₂²⋊C₈) = C₂×D₄.C₈	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.6(C2^2:C8)	128,848
C₂².₇(C₂²⋊C₈) = M₅(2)⋊₁₂C₂²	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.7(C2^2:C8)	128,849
C₂².₈(C₂²⋊C₈) = C₄²⋊₁C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.8(C2^2:C8)	128,6
C₂².₉(C₂²⋊C₈) = C₄²⋊₆C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.9(C2^2:C8)	128,8
C₂².₁₀(C₂²⋊C₈) = C₂³.₂₁C₄²	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.10(C2^2:C8)	128,14
C₂².₁₁(C₂²⋊C₈) = C₂⁴⋊C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	16		C2^2.11(C2^2:C8)	128,48
C₂².₁₂(C₂²⋊C₈) = C₂³.₁₅M₄(2)	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.12(C2^2:C8)	128,49
C₂².₁₃(C₂²⋊C₈) = (C₂×D₄)⋊C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.13(C2^2:C8)	128,50
C₂².₁₄(C₂²⋊C₈) = (C₂×C₄²).C₄	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.14(C2^2:C8)	128,51
C₂².₁₅(C₂²⋊C₈) = C₂⁴.C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.15(C2^2:C8)	128,52
C₂².₁₆(C₂²⋊C₈) = C₂³.₁M₄(2)	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.16(C2^2:C8)	128,53
C₂².₁₇(C₂²⋊C₈) = C₄²⋊C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.17(C2^2:C8)	128,56
C₂².₁₈(C₂²⋊C₈) = C₄²⋊₃C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.18(C2^2:C8)	128,57
C₂².₁₉(C₂²⋊C₈) = C₂³.₂M₄(2)	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.19(C2^2:C8)	128,58
C₂².₂₀(C₂²⋊C₈) = C₄².C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.20(C2^2:C8)	128,59
C₂².₂₁(C₂²⋊C₈) = C₂²⋊C₄.C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.21(C2^2:C8)	128,60
C₂².₂₂(C₂²⋊C₈) = C₄².₂C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.22(C2^2:C8)	128,107
C₂².₂₃(C₂²⋊C₈) = C₄².₇C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.23(C2^2:C8)	128,108
C₂².₂₄(C₂²⋊C₈) = M₄(2).C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.24(C2^2:C8)	128,110
C₂².₂₅(C₂²⋊C₈) = C₂×C₂³⋊C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.25(C2^2:C8)	128,188
C₂².₂₆(C₂²⋊C₈) = C₂×C₂².M₄(2)	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.26(C2^2:C8)	128,189
C₂².₂₇(C₂²⋊C₈) = C₄².₃₉₈D₄	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.27(C2^2:C8)	128,210
C₂².₂₈(C₂²⋊C₈) = C₄².₃₉₉D₄	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.28(C2^2:C8)	128,211
C₂².₂₉(C₂²⋊C₈) = C₂³.₃₂M₄(2)	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.29(C2^2:C8)	128,549
C₂².₃₀(C₂²⋊C₈) = C₂⁴.₅C₈	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.30(C2^2:C8)	128,844
C₂².₃₁(C₂²⋊C₈) = C₄².₄₆Q₈	central extension (φ=1)	128		C2^2.31(C2^2:C8)	128,11
C₂².₃₂(C₂²⋊C₈) = C₂³.₁₉C₄²	central extension (φ=1)	64		C2^2.32(C2^2:C8)	128,12
C₂².₃₃(C₂²⋊C₈) = C₂³⋊C₁₆	central extension (φ=1)	32		C2^2.33(C2^2:C8)	128,46
C₂².₃₄(C₂²⋊C₈) = C₂².M₅(2)	central extension (φ=1)	64		C2^2.34(C2^2:C8)	128,54
C₂².₃₅(C₂²⋊C₈) = D₄⋊C₁₆	central extension (φ=1)	64		C2^2.35(C2^2:C8)	128,61
C₂².₃₆(C₂²⋊C₈) = Q₈⋊C₁₆	central extension (φ=1)	128		C2^2.36(C2^2:C8)	128,69
C₂².₃₇(C₂²⋊C₈) = C₂².₇M₅(2)	central extension (φ=1)	128		C2^2.37(C2^2:C8)	128,106
C₂².₃₈(C₂²⋊C₈) = M₅(2)⋊C₄	central extension (φ=1)	64		C2^2.38(C2^2:C8)	128,109
C₂².₃₉(C₂²⋊C₈) = M₅(2)⋊₇C₄	central extension (φ=1)	64		C2^2.39(C2^2:C8)	128,111
C₂².₄₀(C₂²⋊C₈) = C₂×D₄⋊C₈	central extension (φ=1)	64		C2^2.40(C2^2:C8)	128,206
C₂².₄₁(C₂²⋊C₈) = C₂×Q₈⋊C₈	central extension (φ=1)	128		C2^2.41(C2^2:C8)	128,207
C₂².₄₂(C₂²⋊C₈) = C₂×C₂².₇C₄²	central extension (φ=1)	128		C2^2.42(C2^2:C8)	128,459
C₂².₄₃(C₂²⋊C₈) = C₂×C₂²⋊C₁₆	central extension (φ=1)	64		C2^2.43(C2^2:C8)	128,843
C₂².₄₄(C₂²⋊C₈) = C₂×C₂³.C₈	central extension (φ=1)	32		C2^2.44(C2^2:C8)	128,846
C₂².₄₅(C₂²⋊C₈) = (C₂×C₄).₉₈D₈	central stem extension (φ=1)	64		C2^2.45(C2^2:C8)	128,2
C₂².₄₆(C₂²⋊C₈) = C₄⋊C₄⋊C₈	central stem extension (φ=1)	128		C2^2.46(C2^2:C8)	128,3
C₂².₄₇(C₂²⋊C₈) = (C₂×Q₈)⋊C₈	central stem extension (φ=1)	128		C2^2.47(C2^2:C8)	128,4
C₂².₄₈(C₂²⋊C₈) = C₂³.M₄(2)	central stem extension (φ=1)	64		C2^2.48(C2^2:C8)	128,47
C₂².₄₉(C₂²⋊C₈) = C₂³.₇M₄(2)	central stem extension (φ=1)	64		C2^2.49(C2^2:C8)	128,55
C₂².₅₀(C₂²⋊C₈) = C₈.₃₁D₈	central stem extension (φ=1)	64		C2^2.50(C2^2:C8)	128,62
C₂².₅₁(C₂²⋊C₈) = C₈.₁₇Q₁₆	central stem extension (φ=1)	128		C2^2.51(C2^2:C8)	128,70

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Extensions 1→N→G→Q→1 with N=C22 and Q=C22⋊C8

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²⋊C₈