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Extensions 1→N→G→Q→1 with N=C6 and Q=C3⋊Q16

Direct product G=N×Q with N=C6 and Q=C3⋊Q16
dρLabelID
C6×C3⋊Q1696C6xC3:Q16288,714

Semidirect products G=N:Q with N=C6 and Q=C3⋊Q16
extensionφ:Q→Aut NdρLabelID
C6⋊1(C3⋊Q16) = C2×C32⋊3Q16φ: C3⋊Q16/C3⋊C8 → C2 ⊆ Aut C696C6:1(C3:Q16)288,483
C6⋊2(C3⋊Q16) = C2×C32⋊2Q16φ: C3⋊Q16/Dic6 → C2 ⊆ Aut C696C6:2(C3:Q16)288,482
C6⋊3(C3⋊Q16) = C2×C32⋊7Q16φ: C3⋊Q16/C3×Q8 → C2 ⊆ Aut C6288C6:3(C3:Q16)288,800

Non-split extensions G=N.Q with N=C6 and Q=C3⋊Q16
extensionφ:Q→Aut NdρLabelID
C6.1(C3⋊Q16) = C6.Dic12φ: C3⋊Q16/C3⋊C8 → C2 ⊆ Aut C696C6.1(C3:Q16)288,214
C6.2(C3⋊Q16) = C12.73D12φ: C3⋊Q16/C3⋊C8 → C2 ⊆ Aut C696C6.2(C3:Q16)288,215
C6.3(C3⋊Q16) = C6.18D24φ: C3⋊Q16/C3⋊C8 → C2 ⊆ Aut C696C6.3(C3:Q16)288,223
C6.4(C3⋊Q16) = Dic6⋊Dic3φ: C3⋊Q16/Dic6 → C2 ⊆ Aut C696C6.4(C3:Q16)288,213
C6.5(C3⋊Q16) = C12.8Dic6φ: C3⋊Q16/Dic6 → C2 ⊆ Aut C696C6.5(C3:Q16)288,224
C6.6(C3⋊Q16) = C36.Q8φ: C3⋊Q16/C3×Q8 → C2 ⊆ Aut C6288C6.6(C3:Q16)288,14
C6.7(C3⋊Q16) = C18.Q16φ: C3⋊Q16/C3×Q8 → C2 ⊆ Aut C6288C6.7(C3:Q16)288,16
C6.8(C3⋊Q16) = Q8⋊2Dic9φ: C3⋊Q16/C3×Q8 → C2 ⊆ Aut C6288C6.8(C3:Q16)288,43
C6.9(C3⋊Q16) = C2×C9⋊Q16φ: C3⋊Q16/C3×Q8 → C2 ⊆ Aut C6288C6.9(C3:Q16)288,151
C6.10(C3⋊Q16) = C12.9Dic6φ: C3⋊Q16/C3×Q8 → C2 ⊆ Aut C6288C6.10(C3:Q16)288,282
C6.11(C3⋊Q16) = C62.114D4φ: C3⋊Q16/C3×Q8 → C2 ⊆ Aut C6288C6.11(C3:Q16)288,285
C6.12(C3⋊Q16) = C62.117D4φ: C3⋊Q16/C3×Q8 → C2 ⊆ Aut C6288C6.12(C3:Q16)288,310
C6.13(C3⋊Q16) = C3×C6.Q16central extension (φ=1)96C6.13(C3:Q16)288,241
C6.14(C3⋊Q16) = C3×C6.SD16central extension (φ=1)96C6.14(C3:Q16)288,244
C6.15(C3⋊Q16) = C3×Q8⋊2Dic3central extension (φ=1)96C6.15(C3:Q16)288,269

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