Extensions 1→N→G→Q→1 with N=C₁₀₀ and Q=C₂²

Direct product G=N×Q with N=C₁₀₀ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₀₀		400		C2^2xC100	400,45

Semidirect products G=N:Q with N=C₁₀₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₀⋊C₂² = D₄×D₂₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₀	100	4+	C100:C2^2	400,39
C₁₀₀⋊₂C₂² = C₂×D₁₀₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200		C100:2C2^2	400,37
C₁₀₀⋊₃C₂² = C₂×C₄×D₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200		C100:3C2^2	400,36
C₁₀₀⋊₄C₂² = D₄×C₅₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200		C100:4C2^2	400,46

Non-split extensions G=N.Q with N=C₁₀₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₀.₁C₂² = D₄.D₂₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₀	200	4-	C100.1C2^2	400,15
C₁₀₀.₂C₂² = D₄⋊D₂₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₀	200	4+	C100.2C2^2	400,16
C₁₀₀.₃C₂² = C₂₅⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₀	400	4-	C100.3C2^2	400,17
C₁₀₀.₄C₂² = Q₈⋊D₂₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₀	200	4+	C100.4C2^2	400,18
C₁₀₀.₅C₂² = D₄⋊₂D₂₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₀	200	4-	C100.5C2^2	400,40
C₁₀₀.₆C₂² = Q₈×D₂₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₀	200	4-	C100.6C2^2	400,41
C₁₀₀.₇C₂² = Q₈⋊₂D₂₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₀	200	4+	C100.7C2^2	400,42
C₁₀₀.₈C₂² = Dic₁₀₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	400	2-	C100.8C2^2	400,4
C₁₀₀.₉C₂² = C₂₀₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200	2	C100.9C2^2	400,7
C₁₀₀.₁₀C₂² = D₂₀₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200	2+	C100.10C2^2	400,8
C₁₀₀.₁₁C₂² = C₂×Dic₅₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	400		C100.11C2^2	400,35
C₁₀₀.₁₂C₂² = C₈×D₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200	2	C100.12C2^2	400,5
C₁₀₀.₁₃C₂² = C₈⋊D₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200	2	C100.13C2^2	400,6
C₁₀₀.₁₄C₂² = C₂×C₂₅⋊₂C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	400		C100.14C2^2	400,9
C₁₀₀.₁₅C₂² = C₄.Dic₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200	2	C100.15C2^2	400,10
C₁₀₀.₁₆C₂² = D₁₀₀⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200	2	C100.16C2^2	400,38
C₁₀₀.₁₇C₂² = D₈×C₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200	2	C100.17C2^2	400,25
C₁₀₀.₁₈C₂² = SD₁₆×C₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200	2	C100.18C2^2	400,26
C₁₀₀.₁₉C₂² = Q₁₆×C₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	400	2	C100.19C2^2	400,27
C₁₀₀.₂₀C₂² = Q₈×C₅₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	400		C100.20C2^2	400,47
C₁₀₀.₂₁C₂² = C₄○D₄×C₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₀	200	2	C100.21C2^2	400,48
C₁₀₀.₂₂C₂² = M₄(2)×C₂₅	central extension (φ=1)	200	2	C100.22C2^2	400,24

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Extensions 1→N→G→Q→1 with N=C100 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₀₀ and Q=C₂²