# Extensions 1→N→G→Q→1 with N=C2×He3 and Q=C32

Direct product G=N×Q with N=C2×He3 and Q=C32
dρLabelID
C3×C6×He3162C3xC6xHe3486,251

Semidirect products G=N:Q with N=C2×He3 and Q=C32
extensionφ:Q→Out NdρLabelID
(C2×He3)⋊1C32 = C6×C3≀C3φ: C32/C3C3 ⊆ Out C2×He354(C2xHe3):1C3^2486,210
(C2×He3)⋊2C32 = C6×He3⋊C3φ: C32/C3C3 ⊆ Out C2×He3162(C2xHe3):2C3^2486,212
(C2×He3)⋊3C32 = C2×He3⋊C32φ: C32/C3C3 ⊆ Out C2×He3549(C2xHe3):3C3^2486,217
(C2×He3)⋊4C32 = C2×3+ 1+4φ: trivial image549(C2xHe3):4C3^2486,254

Non-split extensions G=N.Q with N=C2×He3 and Q=C32
extensionφ:Q→Out NdρLabelID
(C2×He3).1C32 = C6×He3.C3φ: C32/C3C3 ⊆ Out C2×He3162(C2xHe3).1C3^2486,211
(C2×He3).2C32 = C2×C9.He3φ: C32/C3C3 ⊆ Out C2×He3543(C2xHe3).2C3^2486,214
(C2×He3).3C32 = C2×C33⋊C32φ: C32/C3C3 ⊆ Out C2×He3549(C2xHe3).3C3^2486,215
(C2×He3).4C32 = C2×He3.C32φ: C32/C3C3 ⊆ Out C2×He3549(C2xHe3).4C3^2486,216
(C2×He3).5C32 = C2×C9.2He3φ: C32/C3C3 ⊆ Out C2×He3549(C2xHe3).5C3^2486,219
(C2×He3).6C32 = C6×C9○He3φ: trivial image162(C2xHe3).6C3^2486,253
(C2×He3).7C32 = C2×3- 1+4φ: trivial image549(C2xHe3).7C3^2486,255

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