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

Direct product G=N×Q with N=He₃⋊₃C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×He₃⋊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 = C₂×He₃⋊₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out He₃⋊₃C₄	72		He3:3C4:3C2^2	432,320
He₃⋊₃C₄⋊₄C₂² = C₄×C₃²⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out He₃⋊₃C₄	36	6	He3:3C4:4C2^2	432,300
He₃⋊₃C₄⋊₅C₂² = C₂×C₆.S₃²	φ: C₂²/C₂ → C₂ ⊆ Out He₃⋊₃C₄	72		He3:3C4:5C2^2	432,317
He₃⋊₃C₄⋊₆C₂² = D₄×He₃⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out He₃⋊₃C₄	36	6	He3:3C4:6C2^2	432,390
He₃⋊₃C₄⋊₇C₂² = C₂×He₃⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out He₃⋊₃C₄	72		He3:3C4:7C2^2	432,399
He₃⋊₃C₄⋊₈C₂² = C₂×C₄×He₃⋊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(C₂×C₈)	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 = C₂×He₃⋊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 = C₂×He₃⋊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 = C₂×He₃⋊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 = Q₈×He₃⋊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

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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