Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₄²

Direct product G=NxQ with N=C₂² and Q=C₂xC₄²

		d	ρ	Label	ID
C₂³xC₄²		128		C2^3xC4^2	128,2150

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₂xC₄²) = D₄xC₄²	φ: C₂xC₄²/C₄² → C₂ ⊆ Aut C₂²	64		C2^2:1(C2xC4^2)	128,1003
C₂²:₂(C₂xC₄²) = C₂xC₄xC₂²:C₄	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	64		C2^2:2(C2xC4^2)	128,1000

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂xC₄²) = D₄:₄C₄²	φ: C₂xC₄²/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.1(C2xC4^2)	128,1007
C₂².₂(C₂xC₄²) = C₄xC₈oD₄	φ: C₂xC₄²/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.2(C2xC4^2)	128,1606
C₂².₃(C₂xC₄²) = D₄.₅C₄²	φ: C₂xC₄²/C₄² → C₂ ⊆ Aut C₂²	64		C2^2.3(C2xC4^2)	128,1607
C₂².₄(C₂xC₄²) = C₂xC₂³.₉D₄	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.4(C2xC4^2)	128,471
C₂².₅(C₂xC₄²) = C₂⁴.₁₆₂C₂³	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.5(C2xC4^2)	128,472
C₂².₆(C₂xC₄²) = C₂xC₂².C₄²	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	64		C2^2.6(C2xC4^2)	128,473
C₂².₇(C₂xC₄²) = C₂³.₁₅C₄²	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.7(C2xC4^2)	128,474
C₂².₈(C₂xC₄²) = C₂xM₄(2):₄C₄	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.8(C2xC4^2)	128,475
C₂².₉(C₂xC₄²) = C₄xC₂³:C₄	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.9(C2xC4^2)	128,486
C₂².₁₀(C₂xC₄²) = C₄xC₄.D₄	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.10(C2xC4^2)	128,487
C₂².₁₁(C₂xC₄²) = C₄xC₄.₁₀D₄	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	64		C2^2.11(C2xC4^2)	128,488
C₂².₁₂(C₂xC₄²) = C₂³.₅C₄²	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.12(C2xC4^2)	128,489
C₂².₁₃(C₂xC₄²) = C₄xC₄²:C₂	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	64		C2^2.13(C2xC4^2)	128,1002
C₂².₁₄(C₂xC₄²) = C₂³:C₄²	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.14(C2xC4^2)	128,1005
C₂².₁₅(C₂xC₄²) = C₂⁴.₅₂₄C₂³	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	64		C2^2.15(C2xC4^2)	128,1006
C₂².₁₆(C₂xC₄²) = C₂xC₄xM₄(2)	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	64		C2^2.16(C2xC4^2)	128,1603
C₂².₁₇(C₂xC₄²) = C₂xC₈o₂M₄(2)	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	64		C2^2.17(C2xC4^2)	128,1604
C₂².₁₈(C₂xC₄²) = M₄(2)o₂M₄(2)	φ: C₂xC₄²/C₂²xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.18(C2xC4^2)	128,1605
C₂².₁₉(C₂xC₄²) = C₄xC₂.C₄²	central extension (φ=1)	128		C2^2.19(C2xC4^2)	128,164
C₂².₂₀(C₂xC₄²) = C₂xC₈:C₈	central extension (φ=1)	128		C2^2.20(C2xC4^2)	128,180
C₂².₂₁(C₂xC₄²) = C₈xM₄(2)	central extension (φ=1)	64		C2^2.21(C2xC4^2)	128,181
C₂².₂₂(C₂xC₄²) = C₈²:C₂	central extension (φ=1)	64		C2^2.22(C2xC4^2)	128,182
C₂².₂₃(C₂xC₄²) = C₄xC₈:C₄	central extension (φ=1)	128		C2^2.23(C2xC4^2)	128,457
C₂².₂₄(C₂xC₄²) = C₂.C₄³	central extension (φ=1)	128		C2^2.24(C2xC4^2)	128,458
C₂².₂₅(C₂xC₄²) = C₂xC₂².₇C₄²	central extension (φ=1)	128		C2^2.25(C2xC4^2)	128,459
C₂².₂₆(C₂xC₄²) = C₄²:₄C₈	central extension (φ=1)	128		C2^2.26(C2xC4^2)	128,476
C₂².₂₇(C₂xC₄²) = C₄xC₂²:C₈	central extension (φ=1)	64		C2^2.27(C2xC4^2)	128,480
C₂².₂₈(C₂xC₄²) = C₈xC₂²:C₄	central extension (φ=1)	64		C2^2.28(C2xC4^2)	128,483
C₂².₂₉(C₂xC₄²) = C₄xC₄:C₈	central extension (φ=1)	128		C2^2.29(C2xC4^2)	128,498
C₂².₃₀(C₂xC₄²) = C₈xC₄:C₄	central extension (φ=1)	128		C2^2.30(C2xC4^2)	128,501
C₂².₃₁(C₂xC₄²) = C₂²xC₂.C₄²	central extension (φ=1)	128		C2^2.31(C2xC4^2)	128,998
C₂².₃₂(C₂xC₄²) = C₂xC₄²:₄C₄	central extension (φ=1)	128		C2^2.32(C2xC4^2)	128,999
C₂².₃₃(C₂xC₄²) = C₂xC₄xC₄:C₄	central extension (φ=1)	128		C2^2.33(C2xC4^2)	128,1001
C₂².₃₄(C₂xC₄²) = C₂²xC₈:C₄	central extension (φ=1)	128		C2^2.34(C2xC4^2)	128,1602
C₂².₃₅(C₂xC₄²) = C₂⁴.₁₇Q₈	central stem extension (φ=1)	64		C2^2.35(C2xC4^2)	128,165
C₂².₃₆(C₂xC₄²) = C₂⁴.₆₂₄C₂³	central stem extension (φ=1)	128		C2^2.36(C2xC4^2)	128,166
C₂².₃₇(C₂xC₄²) = C₂⁴.₆₂₅C₂³	central stem extension (φ=1)	128		C2^2.37(C2xC4^2)	128,167
C₂².₃₈(C₂xC₄²) = C₂⁴.₆₂₆C₂³	central stem extension (φ=1)	128		C2^2.38(C2xC4^2)	128,168
C₂².₃₉(C₂xC₄²) = C₂³:₂C₄²	central stem extension (φ=1)	64		C2^2.39(C2xC4^2)	128,169
C₂².₄₀(C₂xC₄²) = C₈:₉M₄(2)	central stem extension (φ=1)	64		C2^2.40(C2xC4^2)	128,183
C₂².₄₁(C₂xC₄²) = C₂³.₂₇C₄²	central stem extension (φ=1)	64		C2^2.41(C2xC4^2)	128,184
C₂².₄₂(C₂xC₄²) = C₈²:₁₅C₂	central stem extension (φ=1)	64		C2^2.42(C2xC4^2)	128,185
C₂².₄₃(C₂xC₄²) = C₈²:₂C₂	central stem extension (φ=1)	64		C2^2.43(C2xC4^2)	128,186
C₂².₄₄(C₂xC₄²) = C₈:₆M₄(2)	central stem extension (φ=1)	64		C2^2.44(C2xC4^2)	128,187
C₂².₄₅(C₂xC₄²) = C₂³.₂₈C₄²	central stem extension (φ=1)	64		C2^2.45(C2xC4^2)	128,460
C₂².₄₆(C₂xC₄²) = C₂³.₂₉C₄²	central stem extension (φ=1)	64		C2^2.46(C2xC4^2)	128,461
C₂².₄₇(C₂xC₄²) = C₄³.C₂	central stem extension (φ=1)	128		C2^2.47(C2xC4^2)	128,477
C₂².₄₈(C₂xC₄²) = (C₄xC₈):₁₂C₄	central stem extension (φ=1)	128		C2^2.48(C2xC4^2)	128,478
C₂².₄₉(C₂xC₄²) = C₄².₃₇₈D₄	central stem extension (φ=1)	64		C2^2.49(C2xC4^2)	128,481
C₂².₅₀(C₂xC₄²) = C₄².₃₇₉D₄	central stem extension (φ=1)	64		C2^2.50(C2xC4^2)	128,482
C₂².₅₁(C₂xC₄²) = C₂³.₃₆C₄²	central stem extension (φ=1)	64		C2^2.51(C2xC4^2)	128,484
C₂².₅₂(C₂xC₄²) = C₂³.₁₇C₄²	central stem extension (φ=1)	64		C2^2.52(C2xC4^2)	128,485
C₂².₅₃(C₂xC₄²) = C₄³.₇C₂	central stem extension (φ=1)	128		C2^2.53(C2xC4^2)	128,499
C₂².₅₄(C₂xC₄²) = C₄².₄₅Q₈	central stem extension (φ=1)	128		C2^2.54(C2xC4^2)	128,500
C₂².₅₅(C₂xC₄²) = C₄:C₈:₁₃C₄	central stem extension (φ=1)	128		C2^2.55(C2xC4^2)	128,502
C₂².₅₆(C₂xC₄²) = C₄:C₈:₁₄C₄	central stem extension (φ=1)	128		C2^2.56(C2xC4^2)	128,503

Extensions 1→N→G→Q→1 with N=C22 and Q=C2xC42

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₄²