Extensions 1→N→G→Q→1 with N=C₂²⋊C₈ and Q=C₄

Direct product G=N×Q with N=C₂²⋊C₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₂²⋊C₈		64		C4xC2^2:C8	128,480

Semidirect products G=N:Q with N=C₂²⋊C₈ and Q=C₄

extension	φ:Q→Out N	d	Label	ID
C₂²⋊C₈⋊₁C₄ = C₂⁴.₄₆D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²⋊C₈	32	C2^2:C8:1C4	128,16
C₂²⋊C₈⋊₂C₄ = C₂³.C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₂²⋊C₈	32	C2^2:C8:2C4	128,37
C₂²⋊C₈⋊₃C₄ = C₂³.₈C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₂²⋊C₈	32	C2^2:C8:3C4	128,38
C₂²⋊C₈⋊₄C₄ = C₂³.₁₉C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8:4C4	128,12
C₂²⋊C₈⋊₅C₄ = C₂³.₂₁C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	32	C2^2:C8:5C4	128,14
C₂²⋊C₈⋊₆C₄ = C₂³.₃₀D₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	32	C2^2:C8:6C4	128,26
C₂²⋊C₈⋊₇C₄ = C₂³.₃₇D₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8:7C4	128,584
C₂²⋊C₈⋊₈C₄ = C₂⁴.₇₁D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8:8C4	128,586
C₂²⋊C₈⋊₉C₄ = C₂⁴.₁₅₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8:9C4	128,585
C₂²⋊C₈⋊₁₀C₄ = C₄².₃₇₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8:10C4	128,481
C₂²⋊C₈⋊₁₁C₄ = C₄².₃₇₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8:11C4	128,482
C₂²⋊C₈⋊₁₂C₄ = C₂³.₃₆C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8:12C4	128,484
C₂²⋊C₈⋊₁₃C₄ = C₂³.₁₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8:13C4	128,485
C₂²⋊C₈⋊₁₄C₄ = C₈×C₂²⋊C₄	φ: trivial image	64	C2^2:C8:14C4	128,483

Non-split extensions G=N.Q with N=C₂²⋊C₈ and Q=C₄

extension	φ:Q→Out N	d	Label	ID
C₂²⋊C₈.₁C₄ = C₄².₂₃D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²⋊C₈	64	C2^2:C8.1C4	128,19
C₂²⋊C₈.₂C₄ = C₄².₂₆D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²⋊C₈	64	C2^2:C8.2C4	128,23
C₂²⋊C₈.₃C₄ = C₂⁴.₂Q₈	φ: C₄/C₁ → C₄ ⊆ Out C₂²⋊C₈	32	C2^2:C8.3C4	128,25
C₂²⋊C₈.₄C₄ = C₄².₃₀D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²⋊C₈	64	C2^2:C8.4C4	128,39
C₂²⋊C₈.₅C₄ = C₄².₃₁D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²⋊C₈	64	C2^2:C8.5C4	128,40
C₂²⋊C₈.₆C₄ = C₄².₂Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.6C4	128,13
C₂²⋊C₈.₇C₄ = C₄².₃Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.7C4	128,15
C₂²⋊C₈.₈C₄ = C₂⁴.₃Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	32	C2^2:C8.8C4	128,30
C₂²⋊C₈.₉C₄ = C₄².₃₈₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.9C4	128,33
C₂²⋊C₈.₁₀C₄ = C₄².₃₇₀D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.10C4	128,34
C₂²⋊C₈.₁₁C₄ = C₄².₉₁D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.11C4	128,303
C₂²⋊C₈.₁₂C₄ = C₄².Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.12C4	128,304
C₂²⋊C₈.₁₃C₄ = C₄².₂₁Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.13C4	128,306
C₂²⋊C₈.₁₄C₄ = C₂⁴.₁₀Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	32	C2^2:C8.14C4	128,587
C₂²⋊C₈.₁₅C₄ = C₄².₉₀D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.15C4	128,302
C₂²⋊C₈.₁₆C₄ = C₄².₉₂D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.16C4	128,305
C₂²⋊C₈.₁₇C₄ = C₈⋊₉M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.17C4	128,183
C₂²⋊C₈.₁₈C₄ = C₂³.₂₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.18C4	128,184
C₂²⋊C₈.₁₉C₄ = C₈²⋊₁₅C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.19C4	128,185
C₂²⋊C₈.₂₀C₄ = C₈²⋊₂C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.20C4	128,186
C₂²⋊C₈.₂₁C₄ = C₁₆⋊₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.21C4	128,900
C₂²⋊C₈.₂₂C₄ = C₁₆⋊₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²⋊C₈	64	C2^2:C8.22C4	128,901
C₂²⋊C₈.₂₃C₄ = C₈×M₄(2)	φ: trivial image	64	C2^2:C8.23C4	128,181
C₂²⋊C₈.₂₄C₄ = C₈²⋊C₂	φ: trivial image	64	C2^2:C8.24C4	128,182
C₂²⋊C₈.₂₅C₄ = D₄×C₁₆	φ: trivial image	64	C2^2:C8.25C4	128,899

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Extensions 1→N→G→Q→1 with N=C22⋊C8 and Q=C4

Extensions 1→N→G→Q→1 with N=C₂²⋊C₈ and Q=C₄