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Extensions 1→N→G→Q→1 with N=C6 and Q=Q8⋊C4

Direct product G=N×Q with N=C6 and Q=Q8⋊C4
dρLabelID
C6×Q8⋊C4192C6xQ8:C4192,848

Semidirect products G=N:Q with N=C6 and Q=Q8⋊C4
extensionφ:Q→Aut NdρLabelID
C6⋊1(Q8⋊C4) = C2×C6.SD16φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C6192C6:1(Q8:C4)192,528
C6⋊2(Q8⋊C4) = C2×C2.Dic12φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C6192C6:2(Q8:C4)192,662
C6⋊3(Q8⋊C4) = C2×Q8⋊2Dic3φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C6192C6:3(Q8:C4)192,783

Non-split extensions G=N.Q with N=C6 and Q=Q8⋊C4
extensionφ:Q→Aut NdρLabelID
C6.1(Q8⋊C4) = C4⋊Dic3⋊C4φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C648C6.1(Q8:C4)192,11
C6.2(Q8⋊C4) = Dic6⋊2C8φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C6192C6.2(Q8:C4)192,43
C6.3(Q8⋊C4) = C12.2D8φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C6192C6.3(Q8:C4)192,45
C6.4(Q8⋊C4) = C12.C42φ: Q8⋊C4/C4⋊C4 → C2 ⊆ Aut C6192C6.4(Q8:C4)192,88
C6.5(Q8⋊C4) = C4.8Dic12φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C6192C6.5(Q8:C4)192,15
C6.6(Q8⋊C4) = C23.35D12φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C648C6.6(Q8:C4)192,26
C6.7(Q8⋊C4) = C4.Dic12φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C6192C6.7(Q8:C4)192,40
C6.8(Q8⋊C4) = C12.47D8φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C6192C6.8(Q8:C4)192,41
C6.9(Q8⋊C4) = C12.9C42φ: Q8⋊C4/C2×C8 → C2 ⊆ Aut C6192C6.9(Q8:C4)192,110
C6.10(Q8⋊C4) = C12.26Q16φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C6192C6.10(Q8:C4)192,94
C6.11(Q8⋊C4) = (C6×Q8)⋊C4φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C648C6.11(Q8:C4)192,97
C6.12(Q8⋊C4) = C12.5Q16φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C6192C6.12(Q8:C4)192,105
C6.13(Q8⋊C4) = C12.10D8φ: Q8⋊C4/C2×Q8 → C2 ⊆ Aut C6192C6.13(Q8:C4)192,106
C6.14(Q8⋊C4) = C3×Q8⋊C8central extension (φ=1)192C6.14(Q8:C4)192,132
C6.15(Q8⋊C4) = C3×C23.31D4central extension (φ=1)48C6.15(Q8:C4)192,134
C6.16(Q8⋊C4) = C3×C4.10D8central extension (φ=1)192C6.16(Q8:C4)192,138
C6.17(Q8⋊C4) = C3×C4.6Q16central extension (φ=1)192C6.17(Q8:C4)192,139
C6.18(Q8⋊C4) = C3×C22.4Q16central extension (φ=1)192C6.18(Q8:C4)192,146

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