Extensions 1→N→G→Q→1 with N=C4 and Q=He3⋊C4

Direct product G=N×Q with N=C4 and Q=He3⋊C4
dρLabelID
C4×He3⋊C4723C4xHe3:C4432,275

Semidirect products G=N:Q with N=C4 and Q=He3⋊C4
extensionφ:Q→Aut NdρLabelID
C4⋊(He3⋊C4) = C4⋊(He3⋊C4)φ: He3⋊C4/He3⋊C2C2 ⊆ Aut C4726C4:(He3:C4)432,276

Non-split extensions G=N.Q with N=C4 and Q=He3⋊C4
extensionφ:Q→Aut NdρLabelID
C4.(He3⋊C4) = He31M4(2)φ: He3⋊C4/He3⋊C2C2 ⊆ Aut C4726C4.(He3:C4)432,274
C4.2(He3⋊C4) = He32C16central extension (φ=1)1443C4.2(He3:C4)432,57
C4.3(He3⋊C4) = He32(C2×C8)central extension (φ=1)723C4.3(He3:C4)432,273

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