Extensions 1→N→G→Q→1 with N=C4 and Q=C22×C6

Direct product G=N×Q with N=C4 and Q=C22×C6
dρLabelID
C23×C1296C2^3xC1296,220

Semidirect products G=N:Q with N=C4 and Q=C22×C6
extensionφ:Q→Aut NdρLabelID
C4⋊(C22×C6) = D4×C2×C6φ: C22×C6/C2×C6C2 ⊆ Aut C448C4:(C2^2xC6)96,221

Non-split extensions G=N.Q with N=C4 and Q=C22×C6
extensionφ:Q→Aut NdρLabelID
C4.1(C22×C6) = C6×D8φ: C22×C6/C2×C6C2 ⊆ Aut C448C4.1(C2^2xC6)96,179
C4.2(C22×C6) = C6×SD16φ: C22×C6/C2×C6C2 ⊆ Aut C448C4.2(C2^2xC6)96,180
C4.3(C22×C6) = C6×Q16φ: C22×C6/C2×C6C2 ⊆ Aut C496C4.3(C2^2xC6)96,181
C4.4(C22×C6) = C3×C4○D8φ: C22×C6/C2×C6C2 ⊆ Aut C4482C4.4(C2^2xC6)96,182
C4.5(C22×C6) = C3×C8⋊C22φ: C22×C6/C2×C6C2 ⊆ Aut C4244C4.5(C2^2xC6)96,183
C4.6(C22×C6) = C3×C8.C22φ: C22×C6/C2×C6C2 ⊆ Aut C4484C4.6(C2^2xC6)96,184
C4.7(C22×C6) = Q8×C2×C6φ: C22×C6/C2×C6C2 ⊆ Aut C496C4.7(C2^2xC6)96,222
C4.8(C22×C6) = C6×C4○D4φ: C22×C6/C2×C6C2 ⊆ Aut C448C4.8(C2^2xC6)96,223
C4.9(C22×C6) = C3×2+ 1+4φ: C22×C6/C2×C6C2 ⊆ Aut C4244C4.9(C2^2xC6)96,224
C4.10(C22×C6) = C3×2- 1+4φ: C22×C6/C2×C6C2 ⊆ Aut C4484C4.10(C2^2xC6)96,225
C4.11(C22×C6) = C6×M4(2)central extension (φ=1)48C4.11(C2^2xC6)96,177
C4.12(C22×C6) = C3×C8○D4central extension (φ=1)482C4.12(C2^2xC6)96,178

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