Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×M₄(2)

Direct product G=N×Q with N=C₂² and Q=C₂×M₄(2)

		d	ρ	Label	ID
C₂³×M₄(2)		64		C2^3xM4(2)	128,2302

Semidirect products G=N:Q with N=C₂² and Q=C₂×M₄(2)

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(C₂×M₄(2)) = C₂×C₈⋊₉D₄	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	64	C2^2:1(C2xM4(2))	128,1659
C₂²⋊₂(C₂×M₄(2)) = D₄×M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₂²	32	C2^2:2(C2xM4(2))	128,1666
C₂²⋊₃(C₂×M₄(2)) = C₂×C₂⁴.₄C₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	C2^2:3(C2xM4(2))	128,1609

Non-split extensions G=N.Q with N=C₂² and Q=C₂×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×M₄(2)) = C₂×D₄.C₈	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.1(C2xM4(2))	128,848
C₂².₂(C₂×M₄(2)) = M₅(2)⋊₁₂C₂²	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	32	4	C2^2.2(C2xM4(2))	128,849
C₂².₃(C₂×M₄(2)) = C₄².₂₉₀C₂³	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.3(C2xM4(2))	128,1697
C₂².₄(C₂×M₄(2)) = C₂³⋊₃M₄(2)	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	32		C2^2.4(C2xM4(2))	128,1705
C₂².₅(C₂×M₄(2)) = C₄².₆₉₈C₂³	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₂²	64		C2^2.5(C2xM4(2))	128,1721
C₂².₆(C₂×M₄(2)) = D₄⋊₆M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₂²	64		C2^2.6(C2xM4(2))	128,1702
C₂².₇(C₂×M₄(2)) = D₄⋊₇M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₂²	32		C2^2.7(C2xM4(2))	128,1706
C₂².₈(C₂×M₄(2)) = D₄⋊₈M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₂²	64		C2^2.8(C2xM4(2))	128,1722
C₂².₉(C₂×M₄(2)) = C₂×C₂³⋊C₈	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.9(C2xM4(2))	128,188
C₂².₁₀(C₂×M₄(2)) = C₂×C₂².M₄(2)	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.10(C2xM4(2))	128,189
C₂².₁₁(C₂×M₄(2)) = C₄².₃₇₁D₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.11(C2xM4(2))	128,190
C₂².₁₂(C₂×M₄(2)) = C₂³.₈M₄(2)	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.12(C2xM4(2))	128,191
C₂².₁₃(C₂×M₄(2)) = C₄².₃₉₃D₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.13(C2xM4(2))	128,192
C₂².₁₄(C₂×M₄(2)) = C₄².₃₉₄D₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.14(C2xM4(2))	128,193
C₂².₁₅(C₂×M₄(2)) = C₂⁵.₃C₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	16		C2^2.15(C2xM4(2))	128,194
C₂².₁₆(C₂×M₄(2)) = (C₂×C₄)⋊M₄(2)	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.16(C2xM4(2))	128,195
C₂².₁₇(C₂×M₄(2)) = C₄².₄₂D₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.17(C2xM4(2))	128,196
C₂².₁₈(C₂×M₄(2)) = C₂³⋊M₄(2)	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.18(C2xM4(2))	128,197
C₂².₁₉(C₂×M₄(2)) = C₄².₄₃D₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.19(C2xM4(2))	128,198
C₂².₂₀(C₂×M₄(2)) = C₄².₄₄D₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.20(C2xM4(2))	128,199
C₂².₂₁(C₂×M₄(2)) = C₂×C₁₆⋊C₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.21(C2xM4(2))	128,841
C₂².₂₂(C₂×M₄(2)) = C₈.₂₃C₄²	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.22(C2xM4(2))	128,842
C₂².₂₃(C₂×M₄(2)) = C₂×C₈.C₈	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.23(C2xM4(2))	128,884
C₂².₂₄(C₂×M₄(2)) = M₄(2).₁C₈	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.24(C2xM4(2))	128,885
C₂².₂₅(C₂×M₄(2)) = C₈.₅M₄(2)	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.25(C2xM4(2))	128,897
C₂².₂₆(C₂×M₄(2)) = C₈.₁₉M₄(2)	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.26(C2xM4(2))	128,898
C₂².₂₇(C₂×M₄(2)) = C₂×C₄².₆C₄	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.27(C2xM4(2))	128,1650
C₂².₂₈(C₂×M₄(2)) = C₄².₆₇₇C₂³	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.28(C2xM4(2))	128,1652
C₂².₂₉(C₂×M₄(2)) = C₄².₆₉₃C₂³	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.29(C2xM4(2))	128,1707
C₂².₃₀(C₂×M₄(2)) = C₄².₃₀₂C₂³	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.30(C2xM4(2))	128,1715
C₂².₃₁(C₂×M₄(2)) = C₄×C₈⋊C₄	central extension (φ=1)	128		C2^2.31(C2xM4(2))	128,457
C₂².₃₂(C₂×M₄(2)) = C₂×C₂².₇C₄²	central extension (φ=1)	128		C2^2.32(C2xM4(2))	128,459
C₂².₃₃(C₂×M₄(2)) = C₂³.₂₈C₄²	central extension (φ=1)	64		C2^2.33(C2xM4(2))	128,460
C₂².₃₄(C₂×M₄(2)) = C₄²⋊₄C₈	central extension (φ=1)	128		C2^2.34(C2xM4(2))	128,476
C₂².₃₅(C₂×M₄(2)) = C₄³.C₂	central extension (φ=1)	128		C2^2.35(C2xM4(2))	128,477
C₂².₃₆(C₂×M₄(2)) = C₄×C₂²⋊C₈	central extension (φ=1)	64		C2^2.36(C2xM4(2))	128,480
C₂².₃₇(C₂×M₄(2)) = C₄².₃₇₈D₄	central extension (φ=1)	64		C2^2.37(C2xM4(2))	128,481
C₂².₃₈(C₂×M₄(2)) = C₂³.₃₆C₄²	central extension (φ=1)	64		C2^2.38(C2xM4(2))	128,484
C₂².₃₉(C₂×M₄(2)) = C₂³.₁₇C₄²	central extension (φ=1)	64		C2^2.39(C2xM4(2))	128,485
C₂².₄₀(C₂×M₄(2)) = C₄×C₄⋊C₈	central extension (φ=1)	128		C2^2.40(C2xM4(2))	128,498
C₂².₄₁(C₂×M₄(2)) = C₄³.₇C₂	central extension (φ=1)	128		C2^2.41(C2xM4(2))	128,499
C₂².₄₂(C₂×M₄(2)) = C₄⋊C₈⋊₁₃C₄	central extension (φ=1)	128		C2^2.42(C2xM4(2))	128,502
C₂².₄₃(C₂×M₄(2)) = C₄⋊C₈⋊₁₄C₄	central extension (φ=1)	128		C2^2.43(C2xM4(2))	128,503
C₂².₄₄(C₂×M₄(2)) = C₂⁴⋊₃C₈	central extension (φ=1)	32		C2^2.44(C2xM4(2))	128,511
C₂².₄₅(C₂×M₄(2)) = C₄².₄₂₅D₄	central extension (φ=1)	64		C2^2.45(C2xM4(2))	128,529
C₂².₄₆(C₂×M₄(2)) = C₂³.₃₂M₄(2)	central extension (φ=1)	64		C2^2.46(C2xM4(2))	128,549
C₂².₄₇(C₂×M₄(2)) = C₄²⋊₈C₈	central extension (φ=1)	128		C2^2.47(C2xM4(2))	128,563
C₂².₄₈(C₂×M₄(2)) = C₄²⋊₅C₈	central extension (φ=1)	128		C2^2.48(C2xM4(2))	128,571
C₂².₄₉(C₂×M₄(2)) = C₄²⋊₉C₈	central extension (φ=1)	128		C2^2.49(C2xM4(2))	128,574
C₂².₅₀(C₂×M₄(2)) = C₂³.₂₁M₄(2)	central extension (φ=1)	64		C2^2.50(C2xM4(2))	128,582
C₂².₅₁(C₂×M₄(2)) = C₂³.₂₂M₄(2)	central extension (φ=1)	64		C2^2.51(C2xM4(2))	128,601
C₂².₅₂(C₂×M₄(2)) = C₄⋊C₄⋊₃C₈	central extension (φ=1)	128		C2^2.52(C2xM4(2))	128,648
C₂².₅₃(C₂×M₄(2)) = C₂²⋊C₄⋊₄C₈	central extension (φ=1)	64		C2^2.53(C2xM4(2))	128,655
C₂².₅₄(C₂×M₄(2)) = C₄².₆₁Q₈	central extension (φ=1)	128		C2^2.54(C2xM4(2))	128,671
C₂².₅₅(C₂×M₄(2)) = C₄².₃₂₅D₄	central extension (φ=1)	64		C2^2.55(C2xM4(2))	128,686
C₂².₅₆(C₂×M₄(2)) = C₄².₃₂₇D₄	central extension (φ=1)	128		C2^2.56(C2xM4(2))	128,716
C₂².₅₇(C₂×M₄(2)) = C₂²×C₈⋊C₄	central extension (φ=1)	128		C2^2.57(C2xM4(2))	128,1602
C₂².₅₈(C₂×M₄(2)) = C₂×C₄×M₄(2)	central extension (φ=1)	64		C2^2.58(C2xM4(2))	128,1603
C₂².₅₉(C₂×M₄(2)) = C₂²×C₂²⋊C₈	central extension (φ=1)	64		C2^2.59(C2xM4(2))	128,1608
C₂².₆₀(C₂×M₄(2)) = C₂²×C₄⋊C₈	central extension (φ=1)	128		C2^2.60(C2xM4(2))	128,1634
C₂².₆₁(C₂×M₄(2)) = C₂×C₄⋊M₄(2)	central extension (φ=1)	64		C2^2.61(C2xM4(2))	128,1635
C₂².₆₂(C₂×M₄(2)) = C₂×C₄².₁₂C₄	central extension (φ=1)	64		C2^2.62(C2xM4(2))	128,1649
C₂².₆₃(C₂×M₄(2)) = C₂×C₈⋊₆D₄	central extension (φ=1)	64		C2^2.63(C2xM4(2))	128,1660
C₂².₆₄(C₂×M₄(2)) = C₂×C₈⋊₄Q₈	central extension (φ=1)	128		C2^2.64(C2xM4(2))	128,1691
C₂².₆₅(C₂×M₄(2)) = (C₂×C₈).₁₉₅D₄	central stem extension (φ=1)	64		C2^2.65(C2xM4(2))	128,583
C₂².₆₆(C₂×M₄(2)) = C₂³⋊₂M₄(2)	central stem extension (φ=1)	64		C2^2.66(C2xM4(2))	128,602
C₂².₆₇(C₂×M₄(2)) = (C₂×C₈).Q₈	central stem extension (φ=1)	128		C2^2.67(C2xM4(2))	128,649
C₂².₆₈(C₂×M₄(2)) = C₂³.₉M₄(2)	central stem extension (φ=1)	64		C2^2.68(C2xM4(2))	128,656
C₂².₆₉(C₂×M₄(2)) = C₄².₂₇Q₈	central stem extension (φ=1)	128		C2^2.69(C2xM4(2))	128,672
C₂².₇₀(C₂×M₄(2)) = C₄².₁₀₉D₄	central stem extension (φ=1)	64		C2^2.70(C2xM4(2))	128,687
C₂².₇₁(C₂×M₄(2)) = C₄².₁₂₀D₄	central stem extension (φ=1)	128		C2^2.71(C2xM4(2))	128,717

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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×M4(2)

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×M₄(2)