Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xHe₃:C₂

Direct product G=NxQ with N=C₄ and Q=C₂xHe₃:C₂

		d	ρ	Label	ID
C₂xC₄xHe₃:C₂		72		C2xC4xHe3:C2	432,385

Semidirect products G=N:Q with N=C₄ and Q=C₂xHe₃:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₂xHe₃:C₂) = D₄xHe₃:C₂	φ: C₂xHe₃:C₂/He₃:C₂ → C₂ ⊆ Aut C₄	36	6	C4:1(C2xHe3:C2)	432,390
C₄:₂(C₂xHe₃:C₂) = C₂xHe₃:₅D₄	φ: C₂xHe₃:C₂/C₂xHe₃ → C₂ ⊆ Aut C₄	72		C4:2(C2xHe3:C2)	432,386

Non-split extensions G=N.Q with N=C₄ and Q=C₂xHe₃:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xHe₃:C₂) = He₃:₇D₈	φ: C₂xHe₃:C₂/He₃:C₂ → C₂ ⊆ Aut C₄	72	6	C4.1(C2xHe3:C2)	432,192
C₄.₂(C₂xHe₃:C₂) = He₃:₉SD₁₆	φ: C₂xHe₃:C₂/He₃:C₂ → C₂ ⊆ Aut C₄	72	6	C4.2(C2xHe3:C2)	432,193
C₄.₃(C₂xHe₃:C₂) = He₃:₁₁SD₁₆	φ: C₂xHe₃:C₂/He₃:C₂ → C₂ ⊆ Aut C₄	72	6	C4.3(C2xHe3:C2)	432,196
C₄.₄(C₂xHe₃:C₂) = He₃:₇Q₁₆	φ: C₂xHe₃:C₂/He₃:C₂ → C₂ ⊆ Aut C₄	144	6	C4.4(C2xHe3:C2)	432,197
C₄.₅(C₂xHe₃:C₂) = C₆².₁₆D₆	φ: C₂xHe₃:C₂/He₃:C₂ → C₂ ⊆ Aut C₄	72	6	C4.5(C2xHe3:C2)	432,391
C₄.₆(C₂xHe₃:C₂) = Q₈xHe₃:C₂	φ: C₂xHe₃:C₂/He₃:C₂ → C₂ ⊆ Aut C₄	72	6	C4.6(C2xHe3:C2)	432,394
C₄.₇(C₂xHe₃:C₂) = He₃:₅D₄:C₂	φ: C₂xHe₃:C₂/He₃:C₂ → C₂ ⊆ Aut C₄	72	6	C4.7(C2xHe3:C2)	432,395
C₄.₈(C₂xHe₃:C₂) = He₃:₇SD₁₆	φ: C₂xHe₃:C₂/C₂xHe₃ → C₂ ⊆ Aut C₄	72	6	C4.8(C2xHe3:C2)	432,175
C₄.₉(C₂xHe₃:C₂) = He₃:₅D₈	φ: C₂xHe₃:C₂/C₂xHe₃ → C₂ ⊆ Aut C₄	72	6	C4.9(C2xHe3:C2)	432,176
C₄.₁₀(C₂xHe₃:C₂) = He₃:₅Q₁₆	φ: C₂xHe₃:C₂/C₂xHe₃ → C₂ ⊆ Aut C₄	144	6	C4.10(C2xHe3:C2)	432,177
C₄.₁₁(C₂xHe₃:C₂) = C₂xHe₃:₄Q₈	φ: C₂xHe₃:C₂/C₂xHe₃ → C₂ ⊆ Aut C₄	144		C4.11(C2xHe3:C2)	432,384
C₄.₁₂(C₂xHe₃:C₂) = C₈xHe₃:C₂	central extension (φ=1)	72	3	C4.12(C2xHe3:C2)	432,173
C₄.₁₃(C₂xHe₃:C₂) = He₃:₆M₄(2)	central extension (φ=1)	72	6	C4.13(C2xHe3:C2)	432,174
C₄.₁₄(C₂xHe₃:C₂) = C₂xHe₃:₄C₈	central extension (φ=1)	144		C4.14(C2xHe3:C2)	432,184
C₄.₁₅(C₂xHe₃:C₂) = He₃:₈M₄(2)	central extension (φ=1)	72	6	C4.15(C2xHe3:C2)	432,185
C₄.₁₆(C₂xHe₃:C₂) = C₆².₄₇D₆	central extension (φ=1)	72	6	C4.16(C2xHe3:C2)	432,387

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