Home	IrrRep	Linear	C_n D_n S_n A_n ...
About	degree	Characters	×	⋊	.	○	≀

Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄²

Direct product G=N×Q with N=C₇ and Q=D₄²

		d	ρ	Label	ID
C₇×D₄²		112		C7xD4^2	448,1328

Semidirect products G=N:Q with N=C₇ and Q=D₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₄²) = D₄×D₂₈	φ: D₄²/C₄×D₄ → C₂ ⊆ Aut C₇	112		C7:1(D4^2)	448,1002
C₇⋊₂(D₄²) = C₂⁴⋊₃D₁₄	φ: D₄²/C₂²≀C₂ → C₂ ⊆ Aut C₇	112		C7:2(D4^2)	448,1043
C₇⋊₃(D₄²) = D₂₈⋊₁₉D₄	φ: D₄²/C₄⋊D₄ → C₂ ⊆ Aut C₇	112		C7:3(D4^2)	448,1062
C₇⋊₄(D₄²) = D₂₈⋊₁₁D₄	φ: D₄²/C₄⋊₁D₄ → C₂ ⊆ Aut C₇	112		C7:4(D4^2)	448,1170
C₇⋊₅(D₄²) = D₄×C₇⋊D₄	φ: D₄²/C₂²×D₄ → C₂ ⊆ Aut C₇	112		C7:5(D4^2)	448,1254

׿

×

⋊

ℤ

𝔽

○

≀