Extensions 1→N→G→Q→1 with N=C₂³.₂₄D₄ and Q=C₂

Direct product G=N×Q with N=C₂³.₂₄D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₂₄D₄		64		C2xC2^3.24D4	128,1624

Semidirect products G=N:Q with N=C₂³.₂₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₂₄D₄⋊₁C₂ = 2₊¹⁺⁴⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32	4	C2^3.24D4:1C2	128,526
C₂³.₂₄D₄⋊₂C₂ = M₄(2).₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32	4	C2^3.24D4:2C2	128,613
C₂³.₂₄D₄⋊₃C₂ = C₂²⋊C₄.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32	4	C2^3.24D4:3C2	128,785
C₂³.₂₄D₄⋊₄C₂ = C₂⁴.₁₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:4C2	128,1782
C₂³.₂₄D₄⋊₅C₂ = C₄².₃₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:5C2	128,1863
C₂³.₂₄D₄⋊₆C₂ = C₄○D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:6C2	128,1740
C₂³.₂₄D₄⋊₇C₂ = Q₈.(C₂×D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:7C2	128,1743
C₂³.₂₄D₄⋊₈C₂ = C₄².₁₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:8C2	128,1773
C₂³.₂₄D₄⋊₉C₂ = (C₂×D₄).₃₀₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:9C2	128,1830
C₂³.₂₄D₄⋊₁₀C₂ = C₄².₄₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:10C2	128,2029
C₂³.₂₄D₄⋊₁₁C₂ = C₄².₄₆₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:11C2	128,2032
C₂³.₂₄D₄⋊₁₂C₂ = C₄².₄₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:12C2	128,2034
C₂³.₂₄D₄⋊₁₃C₂ = C₄².₄₇₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:13C2	128,2037
C₂³.₂₄D₄⋊₁₄C₂ = C₂⁴.₁₀₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:14C2	128,1734
C₂³.₂₄D₄⋊₁₅C₂ = C₄².₄₄₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:15C2	128,1767
C₂³.₂₄D₄⋊₁₆C₂ = C₂⁴.₁₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:16C2	128,1823
C₂³.₂₄D₄⋊₁₇C₂ = C₄².₄₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:17C2	128,2041
C₂³.₂₄D₄⋊₁₈C₂ = C₄².₄₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:18C2	128,2045
C₂³.₂₄D₄⋊₁₉C₂ = C₄².₅₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:19C2	128,2047
C₂³.₂₄D₄⋊₂₀C₂ = C₄².₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:20C2	128,2051
C₂³.₂₄D₄⋊₂₁C₂ = D₄.(C₂×D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:21C2	128,1741
C₂³.₂₄D₄⋊₂₂C₂ = (C₂×Q₈)⋊₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:22C2	128,1742
C₂³.₂₄D₄⋊₂₃C₂ = C₄².₁₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:23C2	128,1774
C₂³.₂₄D₄⋊₂₄C₂ = C₄².₁₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:24C2	128,1775
C₂³.₂₄D₄⋊₂₅C₂ = (C₂×D₄).₃₀₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:25C2	128,1831
C₂³.₂₄D₄⋊₂₆C₂ = C₄².₄₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:26C2	128,2028
C₂³.₂₄D₄⋊₂₇C₂ = C₄².₄₆₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:27C2	128,2033
C₂³.₂₄D₄⋊₂₈C₂ = C₄².₄₆₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:28C2	128,2035
C₂³.₂₄D₄⋊₂₉C₂ = C₄².₄₆₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:29C2	128,2036
C₂³.₂₄D₄⋊₃₀C₂ = C₄².₄₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:30C2	128,2039
C₂³.₂₄D₄⋊₃₁C₂ = C₄².₄₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:31C2	128,2043
C₂³.₂₄D₄⋊₃₂C₂ = C₄².₅₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:32C2	128,2049
C₂³.₂₄D₄⋊₃₃C₂ = C₄².₅₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:33C2	128,2053
C₂³.₂₄D₄⋊₃₄C₂ = C₂⁴.₉₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:34C2	128,1628
C₂³.₂₄D₄⋊₃₅C₂ = 2₊¹⁺⁴⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:35C2	128,1629
C₂³.₂₄D₄⋊₃₆C₂ = 2_-¹⁺⁴⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:36C2	128,1630
C₂³.₂₄D₄⋊₃₇C₂ = C₄².₃₈₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:37C2	128,1675
C₂³.₂₄D₄⋊₃₈C₂ = C₄².₂₇₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:38C2	128,1678
C₂³.₂₄D₄⋊₃₉C₂ = C₂⁴.₁₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:39C2	128,1786
C₂³.₂₄D₄⋊₄₀C₂ = M₄(2)⋊₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:40C2	128,1794
C₂³.₂₄D₄⋊₄₁C₂ = M₄(2)⋊₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:41C2	128,1795
C₂³.₂₄D₄⋊₄₂C₂ = C₄².₂₃₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4:42C2	128,1867
C₂³.₂₄D₄⋊₄₃C₂ = C₄².₃₆₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4:43C2	128,1868
C₂³.₂₄D₄⋊₄₄C₂ = C₄×C₄○D₈	φ: trivial image	64		C2^3.24D4:44C2	128,1671

Non-split extensions G=N.Q with N=C₂³.₂₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₂₄D₄.₁C₂ = C₄².₄₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4.1C2	128,669
C₂³.₂₄D₄.₂C₂ = C₄².₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32	4	C2^3.24D4.2C2	128,812
C₂³.₂₄D₄.₃C₂ = C₄².₁₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4.3C2	128,1776
C₂³.₂₄D₄.₄C₂ = C₄².₂₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4.4C2	128,1815
C₂³.₂₄D₄.₅C₂ = M₄(2).₄₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4.5C2	128,598
C₂³.₂₄D₄.₆C₂ = M₄(2).₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4.6C2	128,661
C₂³.₂₄D₄.₇C₂ = C₄².₄₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4.7C2	128,1808
C₂³.₂₄D₄.₈C₂ = C₄².₂₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4.8C2	128,1816
C₂³.₂₄D₄.₉C₂ = D₄.₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4.9C2	128,497
C₂³.₂₄D₄.₁₀C₂ = C₄².₁₀₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	32		C2^3.24D4.10C2	128,670
C₂³.₂₄D₄.₁₁C₂ = C₄².₂₇₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4.11C2	128,1679
C₂³.₂₄D₄.₁₂C₂ = C₄².₃₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₄D₄	64		C2^3.24D4.12C2	128,1869
C₂³.₂₄D₄.₁₃C₂ = Q₈.C₄²	φ: trivial image	32		C2^3.24D4.13C2	128,496

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Extensions 1→N→G→Q→1 with N=C23.24D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.₂₄D₄ and Q=C₂