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Extensions 1→N→G→Q→1 with N=C6 and Q=C8:C4

Direct product G=NxQ with N=C6 and Q=C8:C4
dρLabelID
C6xC8:C4192C6xC8:C4192,836

Semidirect products G=N:Q with N=C6 and Q=C8:C4
extensionφ:Q→Aut NdρLabelID
C6:1(C8:C4) = C2xC42.S3φ: C8:C4/C42 → C2 ⊆ Aut C6192C6:1(C8:C4)192,480
C6:2(C8:C4) = C2xC24:C4φ: C8:C4/C2xC8 → C2 ⊆ Aut C6192C6:2(C8:C4)192,659

Non-split extensions G=N.Q with N=C6 and Q=C8:C4
extensionφ:Q→Aut NdρLabelID
C6.1(C8:C4) = C42.279D6φ: C8:C4/C42 → C2 ⊆ Aut C6192C6.1(C8:C4)192,13
C6.2(C8:C4) = C12.15C42φ: C8:C4/C42 → C2 ⊆ Aut C6484C6.2(C8:C4)192,25
C6.3(C8:C4) = (C2xC12):3C8φ: C8:C4/C42 → C2 ⊆ Aut C6192C6.3(C8:C4)192,83
C6.4(C8:C4) = C24:C8φ: C8:C4/C2xC8 → C2 ⊆ Aut C6192C6.4(C8:C4)192,14
C6.5(C8:C4) = C48:C4φ: C8:C4/C2xC8 → C2 ⊆ Aut C6484C6.5(C8:C4)192,71
C6.6(C8:C4) = (C2xC24):5C4φ: C8:C4/C2xC8 → C2 ⊆ Aut C6192C6.6(C8:C4)192,109
C6.7(C8:C4) = C3xC8:C8central extension (φ=1)192C6.7(C8:C4)192,128
C6.8(C8:C4) = C3xC22.7C42central extension (φ=1)192C6.8(C8:C4)192,142
C6.9(C8:C4) = C3xC16:C4central extension (φ=1)484C6.9(C8:C4)192,153

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