Extensions 1→N→G→Q→1 with N=C₁₀₂ and Q=C₂²

Direct product G=N×Q with N=C₁₀₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₀₂		408		C2^2xC102	408,46

Semidirect products G=N:Q with N=C₁₀₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₂⋊C₂² = C₂×S₃×D₁₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₂	102	4+	C102:C2^2	408,41
C₁₀₂⋊₂C₂² = C₂²×D₅₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204		C102:2C2^2	408,45
C₁₀₂⋊₃C₂² = C₂×C₆×D₁₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204		C102:3C2^2	408,43
C₁₀₂⋊₄C₂² = S₃×C₂×C₃₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204		C102:4C2^2	408,44

Non-split extensions G=N.Q with N=C₁₀₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₂.₁C₂² = Dic₃×D₁₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₂	204	4-	C102.1C2^2	408,7
C₁₀₂.₂C₂² = S₃×Dic₁₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₂	204	4-	C102.2C2^2	408,8
C₁₀₂.₃C₂² = D₅₁⋊₂C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₂	204	4+	C102.3C2^2	408,9
C₁₀₂.₄C₂² = C₅₁⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₂	204	4-	C102.4C2^2	408,10
C₁₀₂.₅C₂² = C₃⋊D₆₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₂	204	4+	C102.5C2^2	408,11
C₁₀₂.₆C₂² = C₁₇⋊D₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₂	204	4+	C102.6C2^2	408,12
C₁₀₂.₇C₂² = C₅₁⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₂	408	4-	C102.7C2^2	408,13
C₁₀₂.₈C₂² = Dic₁₀₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	408	2-	C102.8C2^2	408,25
C₁₀₂.₉C₂² = C₄×D₅₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204	2	C102.9C2^2	408,26
C₁₀₂.₁₀C₂² = D₂₀₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204	2+	C102.10C2^2	408,27
C₁₀₂.₁₁C₂² = C₂×Dic₅₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	408		C102.11C2^2	408,28
C₁₀₂.₁₂C₂² = C₅₁⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204	2	C102.12C2^2	408,29
C₁₀₂.₁₃C₂² = C₃×Dic₃₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	408	2	C102.13C2^2	408,15
C₁₀₂.₁₄C₂² = C₁₂×D₁₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204	2	C102.14C2^2	408,16
C₁₀₂.₁₅C₂² = C₃×D₆₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204	2	C102.15C2^2	408,17
C₁₀₂.₁₆C₂² = C₆×Dic₁₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	408		C102.16C2^2	408,18
C₁₀₂.₁₇C₂² = C₃×C₁₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204	2	C102.17C2^2	408,19
C₁₀₂.₁₈C₂² = C₁₇×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	408	2	C102.18C2^2	408,20
C₁₀₂.₁₉C₂² = S₃×C₆₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204	2	C102.19C2^2	408,21
C₁₀₂.₂₀C₂² = C₁₇×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204	2	C102.20C2^2	408,22
C₁₀₂.₂₁C₂² = Dic₃×C₃₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	408		C102.21C2^2	408,23
C₁₀₂.₂₂C₂² = C₁₇×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₂	204	2	C102.22C2^2	408,24
C₁₀₂.₂₃C₂² = D₄×C₅₁	central extension (φ=1)	204	2	C102.23C2^2	408,31
C₁₀₂.₂₄C₂² = Q₈×C₅₁	central extension (φ=1)	408	2	C102.24C2^2	408,32

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Extensions 1→N→G→Q→1 with N=C102 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₀₂ and Q=C₂²