Extensions 1→N→G→Q→1 with N=C₁₀₈ and Q=C₂²

Direct product G=N×Q with N=C₁₀₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₀₈		432		C2^2xC108	432,53

Semidirect products G=N:Q with N=C₁₀₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₈⋊C₂² = D₄×D₂₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₈	108	4+	C108:C2^2	432,47
C₁₀₈⋊₂C₂² = C₂×D₁₀₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216		C108:2C2^2	432,45
C₁₀₈⋊₃C₂² = C₂×C₄×D₂₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216		C108:3C2^2	432,44
C₁₀₈⋊₄C₂² = D₄×C₅₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216		C108:4C2^2	432,54

Non-split extensions G=N.Q with N=C₁₀₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₈.₁C₂² = D₄.D₂₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₈	216	4-	C108.1C2^2	432,15
C₁₀₈.₂C₂² = D₄⋊D₂₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₈	216	4+	C108.2C2^2	432,16
C₁₀₈.₃C₂² = C₂₇⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₈	432	4-	C108.3C2^2	432,17
C₁₀₈.₄C₂² = Q₈⋊₂D₂₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₈	216	4+	C108.4C2^2	432,18
C₁₀₈.₅C₂² = D₄⋊₂D₂₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₈	216	4-	C108.5C2^2	432,48
C₁₀₈.₆C₂² = Q₈×D₂₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₈	216	4-	C108.6C2^2	432,49
C₁₀₈.₇C₂² = Q₈⋊₃D₂₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₈	216	4+	C108.7C2^2	432,50
C₁₀₈.₈C₂² = Dic₁₀₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	432	2-	C108.8C2^2	432,4
C₁₀₈.₉C₂² = C₂₁₆⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216	2	C108.9C2^2	432,7
C₁₀₈.₁₀C₂² = D₂₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216	2+	C108.10C2^2	432,8
C₁₀₈.₁₁C₂² = C₂×Dic₅₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	432		C108.11C2^2	432,43
C₁₀₈.₁₂C₂² = D₁₀₈⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216	2	C108.12C2^2	432,46
C₁₀₈.₁₃C₂² = C₈×D₂₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216	2	C108.13C2^2	432,5
C₁₀₈.₁₄C₂² = C₈⋊D₂₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216	2	C108.14C2^2	432,6
C₁₀₈.₁₅C₂² = C₂×C₂₇⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	432		C108.15C2^2	432,9
C₁₀₈.₁₆C₂² = C₄.Dic₂₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216	2	C108.16C2^2	432,10
C₁₀₈.₁₇C₂² = D₈×C₂₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216	2	C108.17C2^2	432,25
C₁₀₈.₁₈C₂² = SD₁₆×C₂₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216	2	C108.18C2^2	432,26
C₁₀₈.₁₉C₂² = Q₁₆×C₂₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	432	2	C108.19C2^2	432,27
C₁₀₈.₂₀C₂² = Q₈×C₅₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	432		C108.20C2^2	432,55
C₁₀₈.₂₁C₂² = C₄○D₄×C₂₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₈	216	2	C108.21C2^2	432,56
C₁₀₈.₂₂C₂² = M₄(2)×C₂₇	central extension (φ=1)	216	2	C108.22C2^2	432,24

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Extensions 1→N→G→Q→1 with N=C108 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₀₈ and Q=C₂²