Extensions 1→N→G→Q→1 with N=C₁₃⋊₂C₈ and Q=C₂²

Direct product G=N×Q with N=C₁₃⋊₂C₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₃⋊₂C₈		416		C2^2xC13:2C8	416,141

Semidirect products G=N:Q with N=C₁₃⋊₂C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₃⋊₂C₈⋊₁C₂² = D₈⋊D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out C₁₃⋊₂C₈	104	4	C13:2C8:1C2^2	416,132
C₁₃⋊₂C₈⋊₂C₂² = Q₈⋊D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₃⋊₂C₈	104	4+	C13:2C8:2C2^2	416,135
C₁₃⋊₂C₈⋊₃C₂² = D₅₂⋊₆C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₁₃⋊₂C₈	104	4	C13:2C8:3C2^2	416,153
C₁₃⋊₂C₈⋊₄C₂² = D₄⋊D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₃⋊₂C₈	104	4+	C13:2C8:4C2^2	416,170
C₁₃⋊₂C₈⋊₅C₂² = D₈×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	104	4+	C13:2C8:5C2^2	416,131
C₁₃⋊₂C₈⋊₆C₂² = SD₁₆×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	104	4	C13:2C8:6C2^2	416,134
C₁₃⋊₂C₈⋊₇C₂² = C₂×D₄⋊D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208		C13:2C8:7C2^2	416,152
C₁₃⋊₂C₈⋊₈C₂² = C₂×D₄.D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208		C13:2C8:8C2^2	416,154
C₁₃⋊₂C₈⋊₉C₂² = C₂×Q₈⋊D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208		C13:2C8:9C2^2	416,162
C₁₃⋊₂C₈⋊₁₀C₂² = C₂×C₈⋊D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208		C13:2C8:10C2^2	416,121
C₁₃⋊₂C₈⋊₁₁C₂² = M₄(2)×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	104	4	C13:2C8:11C2^2	416,127
C₁₃⋊₂C₈⋊₁₂C₂² = C₂×C₅₂.₄C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208		C13:2C8:12C2^2	416,142
C₁₃⋊₂C₈⋊₁₃C₂² = C₂×C₈×D₁₃	φ: trivial image	208		C13:2C8:13C2^2	416,120

Non-split extensions G=N.Q with N=C₁₃⋊₂C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₃⋊₂C₈.₁C₂² = D₄.D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₃⋊₂C₈	208	4-	C13:2C8.1C2^2	416,136
C₁₃⋊₂C₈.₂C₂² = Q₁₆⋊D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.2C2^2	416,139
C₁₃⋊₂C₈.₃C₂² = Q₈.D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.3C2^2	416,163
C₁₃⋊₂C₈.₄C₂² = D₄.₉D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₁₃⋊₂C₈	208	4-	C13:2C8.4C2^2	416,172
C₁₃⋊₂C₈.₅C₂² = D₈⋊₃D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4-	C13:2C8.5C2^2	416,133
C₁₃⋊₂C₈.₆C₂² = D₂₆.₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.6C2^2	416,137
C₁₃⋊₂C₈.₇C₂² = Q₁₆×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4-	C13:2C8.7C2^2	416,138
C₁₃⋊₂C₈.₈C₂² = D₁₀₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4+	C13:2C8.8C2^2	416,140
C₁₃⋊₂C₈.₉C₂² = C₂×C₁₃⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	416		C13:2C8.9C2^2	416,164
C₁₃⋊₂C₈.₁₀C₂² = C₅₂.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.10C2^2	416,171
C₁₃⋊₂C₈.₁₁C₂² = D₅₂.₃C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	2	C13:2C8.11C2^2	416,122
C₁₃⋊₂C₈.₁₂C₂² = D₅₂.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.12C2^2	416,128
C₁₃⋊₂C₈.₁₃C₂² = D₄.Dic₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.13C2^2	416,169
C₁₃⋊₂C₈.₁₄C₂² = D₁₃⋊C₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.14C2^2	416,64
C₁₃⋊₂C₈.₁₅C₂² = D₂₆.C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.15C2^2	416,65
C₁₃⋊₂C₈.₁₆C₂² = C₂×C₁₃⋊C₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	416		C13:2C8.16C2^2	416,72
C₁₃⋊₂C₈.₁₇C₂² = C₅₂.C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.17C2^2	416,73

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