Extensions 1→N→G→Q→1 with N=He₃:₃C₄ and Q=C₂²

Direct product G=NxQ with N=He₃:₃C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²xHe₃:₃C₄		144		C2^2xHe3:3C4	432,398

Semidirect products G=N:Q with N=He₃:₃C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:₃C₄:C₂² = C₆²:D₆	φ: C₂²/C₁ → C₂² ⊆ Out He₃:₃C₄	36	12+	He3:3C4:C2^2	432,323
He₃:₃C₄:₂C₂² = C₁₂.₈₆S₃²	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	36	6+	He3:3C4:2C2^2	432,302
He₃:₃C₄:₃C₂² = C₂xHe₃:₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72		He3:3C4:3C2^2	432,320
He₃:₃C₄:₄C₂² = C₄xC₃²:D₆	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	36	6	He3:3C4:4C2^2	432,300
He₃:₃C₄:₅C₂² = C₂xC₆.S₃²	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72		He3:3C4:5C2^2	432,317
He₃:₃C₄:₆C₂² = D₄xHe₃:C₂	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	36	6	He3:3C4:6C2^2	432,390
He₃:₃C₄:₇C₂² = C₂xHe₃:₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72		He3:3C4:7C2^2	432,399
He₃:₃C₄:₈C₂² = C₂xC₄xHe₃:C₂	φ: trivial image	72		He3:3C4:8C2^2	432,385

Non-split extensions G=N.Q with N=He₃:₃C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:₃C₄.₁C₂² = He₃:₂SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out He₃:₃C₄	72	6	He3:3C4.1C2^2	432,234
He₃:₃C₄.₂C₂² = He₃:D₈	φ: C₂²/C₁ → C₂² ⊆ Out He₃:₃C₄	72	6+	He3:3C4.2C2^2	432,235
He₃:₃C₄.₃C₂² = He₃:Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out He₃:₃C₄	144	6-	He3:3C4.3C2^2	432,236
He₃:₃C₄.₄C₂² = C₃:S₃:Dic₆	φ: C₂²/C₁ → C₂² ⊆ Out He₃:₃C₄	72	12-	He3:3C4.4C2^2	432,294
He₃:₃C₄.₅C₂² = C₁₂:S₃:S₃	φ: C₂²/C₁ → C₂² ⊆ Out He₃:₃C₄	72	12+	He3:3C4.5C2^2	432,295
He₃:₃C₄.₆C₂² = C₆².₈D₆	φ: C₂²/C₁ → C₂² ⊆ Out He₃:₃C₄	72	12-	He3:3C4.6C2^2	432,318
He₃:₃C₄.₇C₂² = He₃:₂(C₂xC₈)	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72	3	He3:3C4.7C2^2	432,273
He₃:₃C₄.₈C₂² = He₃:₁M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72	6	He3:3C4.8C2^2	432,274
He₃:₃C₄.₉C₂² = C₂xHe₃:₂C₈	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	144		He3:3C4.9C2^2	432,277
He₃:₃C₄.₁₀C₂² = He₃:₄M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72	6	He3:3C4.10C2^2	432,278
He₃:₃C₄.₁₁C₂² = C₁₂.₉₁S₃²	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72	6	He3:3C4.11C2^2	432,297
He₃:₃C₄.₁₂C₂² = C₁₂.₈₅S₃²	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72	6-	He3:3C4.12C2^2	432,298
He₃:₃C₄.₁₃C₂² = C₂xHe₃:₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	144		He3:3C4.13C2^2	432,316
He₃:₃C₄.₁₄C₂² = C₁₂.₈₄S₃²	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72	6	He3:3C4.14C2^2	432,296
He₃:₃C₄.₁₅C₂² = C₆².₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72	6	He3:3C4.15C2^2	432,319
He₃:₃C₄.₁₆C₂² = C₂xHe₃:₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	144		He3:3C4.16C2^2	432,384
He₃:₃C₄.₁₇C₂² = C₆².₄₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72	6	He3:3C4.17C2^2	432,387
He₃:₃C₄.₁₈C₂² = Q₈xHe₃:C₂	φ: C₂²/C₂ → C₂ ⊆ Out He₃:₃C₄	72	6	He3:3C4.18C2^2	432,394
He₃:₃C₄.₁₉C₂² = C₆².₁₆D₆	φ: trivial image	72	6	He3:3C4.19C2^2	432,391
He₃:₃C₄.₂₀C₂² = He₃:₅D₄:C₂	φ: trivial image	72	6	He3:3C4.20C2^2	432,395

Extensions 1→N→G→Q→1 with N=He3:3C4 and Q=C22

Extensions 1→N→G→Q→1 with N=He₃:₃C₄ and Q=C₂²