Extensions 1→N→G→Q→1 with N=D4 and Q=C2×He3

Direct product G=N×Q with N=D4 and Q=C2×He3
dρLabelID
C2×D4×He372C2xD4xHe3432,404

Semidirect products G=N:Q with N=D4 and Q=C2×He3
extensionφ:Q→Out NdρLabelID
D4⋊(C2×He3) = D8×He3φ: C2×He3/He3C2 ⊆ Out D4726D4:(C2xHe3)432,216
D42(C2×He3) = C4○D4×He3φ: trivial image726D4:2(C2xHe3)432,410

Non-split extensions G=N.Q with N=D4 and Q=C2×He3
extensionφ:Q→Out NdρLabelID
D4.(C2×He3) = SD16×He3φ: C2×He3/He3C2 ⊆ Out D4726D4.(C2xHe3)432,219

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