Extensions 1→N→G→Q→1 with N=C₈₈ and Q=C₂²

Direct product G=N×Q with N=C₈₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₈₈		352		C2^2xC88	352,164

Semidirect products G=N:Q with N=C₈₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₈⋊₁C₂² = C₈⋊D₂₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	88	4+	C88:1C2^2	352,103
C₈₈⋊₂C₂² = D₈×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	88	4+	C88:2C2^2	352,105
C₈₈⋊₃C₂² = D₈₈⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	88	4+	C88:3C2^2	352,109
C₈₈⋊₄C₂² = D₄⋊D₂₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	88	4	C88:4C2^2	352,106
C₈₈⋊₅C₂² = SD₁₆×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	88	4	C88:5C2^2	352,108
C₈₈⋊₆C₂² = M₄(2)×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	88	4	C88:6C2^2	352,101
C₈₈⋊₇C₂² = C₁₁×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	88	4	C88:7C2^2	352,171
C₈₈⋊₈C₂² = C₂×D₈₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176		C88:8C2^2	352,98
C₈₈⋊₉C₂² = C₂×C₈⋊D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176		C88:9C2^2	352,97
C₈₈⋊₁₀C₂² = C₂×C₈×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176		C88:10C2^2	352,94
C₈₈⋊₁₁C₂² = C₂×C₈₈⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176		C88:11C2^2	352,95
C₈₈⋊₁₂C₂² = D₈×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176		C88:12C2^2	352,167
C₈₈⋊₁₃C₂² = SD₁₆×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176		C88:13C2^2	352,168
C₈₈⋊₁₄C₂² = M₄(2)×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176		C88:14C2^2	352,165

Non-split extensions G=N.Q with N=C₈₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈₈.₁C₂² = C₈.D₂₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4-	C88.1C2^2	352,104
C₈₈.₂C₂² = C₁₁⋊D₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4+	C88.2C2^2	352,32
C₈₈.₃C₂² = D₈.D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4-	C88.3C2^2	352,33
C₈₈.₄C₂² = C₈.₆D₂₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4+	C88.4C2^2	352,34
C₈₈.₅C₂² = C₁₁⋊Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	352	4-	C88.5C2^2	352,35
C₈₈.₆C₂² = D₈⋊₃D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4-	C88.6C2^2	352,107
C₈₈.₇C₂² = Q₁₆×D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4-	C88.7C2^2	352,112
C₈₈.₈C₂² = D₈₈⋊₅C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4+	C88.8C2^2	352,114
C₈₈.₉C₂² = D₄.D₂₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4-	C88.9C2^2	352,110
C₈₈.₁₀C₂² = Q₁₆⋊D₁₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4	C88.10C2^2	352,113
C₈₈.₁₁C₂² = Q₈.D₂₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4	C88.11C2^2	352,111
C₈₈.₁₂C₂² = D₄₄.C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4	C88.12C2^2	352,102
C₈₈.₁₃C₂² = C₁₁×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₈₈	176	4	C88.13C2^2	352,172
C₈₈.₁₄C₂² = D₁₇₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176	2+	C88.14C2^2	352,5
C₈₈.₁₅C₂² = C₁₇₆⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.15C2^2	352,6
C₈₈.₁₆C₂² = Dic₈₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	352	2-	C88.16C2^2	352,7
C₈₈.₁₇C₂² = D₈₈⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.17C2^2	352,99
C₈₈.₁₈C₂² = C₂×Dic₄₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	352		C88.18C2^2	352,100
C₈₈.₁₉C₂² = C₁₆×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.19C2^2	352,3
C₈₈.₂₀C₂² = D₂₂.C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.20C2^2	352,4
C₈₈.₂₁C₂² = C₂×C₁₁⋊C₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	352		C88.21C2^2	352,17
C₈₈.₂₂C₂² = C₄₄.C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.22C2^2	352,18
C₈₈.₂₃C₂² = D₄₄.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.23C2^2	352,96
C₈₈.₂₄C₂² = C₁₁×D₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.24C2^2	352,60
C₈₈.₂₅C₂² = C₁₁×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.25C2^2	352,61
C₈₈.₂₆C₂² = C₁₁×Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	352	2	C88.26C2^2	352,62
C₈₈.₂₇C₂² = Q₁₆×C₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	352		C88.27C2^2	352,169
C₈₈.₂₈C₂² = C₁₁×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₈₈	176	2	C88.28C2^2	352,170
C₈₈.₂₉C₂² = C₁₁×M₅(2)	central extension (φ=1)	176	2	C88.29C2^2	352,59
C₈₈.₃₀C₂² = C₁₁×C₈○D₄	central extension (φ=1)	176	2	C88.30C2^2	352,166

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Extensions 1→N→G→Q→1 with N=C88 and Q=C22

Extensions 1→N→G→Q→1 with N=C₈₈ and Q=C₂²