Extensions 1→N→G→Q→1 with N=C2×He3⋊C3 and Q=C2

Direct product G=N×Q with N=C2×He3⋊C3 and Q=C2
dρLabelID
C22×He3⋊C3108C2^2xHe3:C3324,88

Semidirect products G=N:Q with N=C2×He3⋊C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×He3⋊C3)⋊1C2 = C2×He3.2C6φ: C2/C1C2 ⊆ Out C2×He3⋊C3543(C2xHe3:C3):1C2324,72
(C2×He3⋊C3)⋊2C2 = C2×He3.2S3φ: C2/C1C2 ⊆ Out C2×He3⋊C3546+(C2xHe3:C3):2C2324,73
(C2×He3⋊C3)⋊3C2 = C2×He3⋊S3φ: C2/C1C2 ⊆ Out C2×He3⋊C3546+(C2xHe3:C3):3C2324,79

Non-split extensions G=N.Q with N=C2×He3⋊C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×He3⋊C3).1C2 = He3.2C12φ: C2/C1C2 ⊆ Out C2×He3⋊C31083(C2xHe3:C3).1C2324,17
(C2×He3⋊C3).2C2 = He3.2Dic3φ: C2/C1C2 ⊆ Out C2×He3⋊C31086-(C2xHe3:C3).2C2324,18
(C2×He3⋊C3).3C2 = He3⋊Dic3φ: C2/C1C2 ⊆ Out C2×He3⋊C31086-(C2xHe3:C3).3C2324,24
(C2×He3⋊C3).4C2 = C4×He3⋊C3φ: trivial image1083(C2xHe3:C3).4C2324,33

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