# Extensions 1→N→G→Q→1 with N=C4 and Q=C3×C22⋊C4

Direct product G=N×Q with N=C4 and Q=C3×C22⋊C4
dρLabelID
C12×C22⋊C496C12xC2^2:C4192,810

Semidirect products G=N:Q with N=C4 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C41(C3×C22⋊C4) = C3×C24.3C22φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C496C4:1(C3xC2^2:C4)192,823
C42(C3×C22⋊C4) = C3×C23.7Q8φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C496C4:2(C3xC2^2:C4)192,813

Non-split extensions G=N.Q with N=C4 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C4.1(C3×C22⋊C4) = C3×C2.D16φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C496C4.1(C3xC2^2:C4)192,163
C4.2(C3×C22⋊C4) = C3×C2.Q32φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C4192C4.2(C3xC2^2:C4)192,164
C4.3(C3×C22⋊C4) = C3×D8.C4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C4962C4.3(C3xC2^2:C4)192,165
C4.4(C3×C22⋊C4) = C3×D82C4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C4484C4.4(C3xC2^2:C4)192,166
C4.5(C3×C22⋊C4) = C3×M5(2)⋊C2φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C4484C4.5(C3xC2^2:C4)192,167
C4.6(C3×C22⋊C4) = C3×C8.17D4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C4964C4.6(C3xC2^2:C4)192,168
C4.7(C3×C22⋊C4) = C3×C23.67C23φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C4192C4.7(C3xC2^2:C4)192,824
C4.8(C3×C22⋊C4) = C3×(C22×C8)⋊C2φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C496C4.8(C3xC2^2:C4)192,841
C4.9(C3×C22⋊C4) = C3×C23.C23φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C4484C4.9(C3xC2^2:C4)192,843
C4.10(C3×C22⋊C4) = C6×C4.D4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C448C4.10(C3xC2^2:C4)192,844
C4.11(C3×C22⋊C4) = C6×C4.10D4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C496C4.11(C3xC2^2:C4)192,845
C4.12(C3×C22⋊C4) = C6×D4⋊C4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C496C4.12(C3xC2^2:C4)192,847
C4.13(C3×C22⋊C4) = C6×Q8⋊C4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C4192C4.13(C3xC2^2:C4)192,848
C4.14(C3×C22⋊C4) = C3×C23.37D4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C448C4.14(C3xC2^2:C4)192,851
C4.15(C3×C22⋊C4) = C3×C23.38D4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C496C4.15(C3xC2^2:C4)192,852
C4.16(C3×C22⋊C4) = C3×C42⋊C22φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C4484C4.16(C3xC2^2:C4)192,854
C4.17(C3×C22⋊C4) = C3×C4.9C42φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C4484C4.17(C3xC2^2:C4)192,143
C4.18(C3×C22⋊C4) = C3×C4.10C42φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C4484C4.18(C3xC2^2:C4)192,144
C4.19(C3×C22⋊C4) = C3×C22.4Q16φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C4192C4.19(C3xC2^2:C4)192,146
C4.20(C3×C22⋊C4) = C3×C22.C42φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C496C4.20(C3xC2^2:C4)192,149
C4.21(C3×C22⋊C4) = C3×C24.4C4φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C448C4.21(C3xC2^2:C4)192,840
C4.22(C3×C22⋊C4) = C3×M4(2).8C22φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C4484C4.22(C3xC2^2:C4)192,846
C4.23(C3×C22⋊C4) = C3×C23.36D4φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C496C4.23(C3xC2^2:C4)192,850
C4.24(C3×C22⋊C4) = C3×C22.7C42central extension (φ=1)192C4.24(C3xC2^2:C4)192,142
C4.25(C3×C22⋊C4) = C3×C426C4central extension (φ=1)48C4.25(C3xC2^2:C4)192,145
C4.26(C3×C22⋊C4) = C3×C4.C42central extension (φ=1)96C4.26(C3xC2^2:C4)192,147
C4.27(C3×C22⋊C4) = C3×M4(2)⋊4C4central extension (φ=1)484C4.27(C3xC2^2:C4)192,150
C4.28(C3×C22⋊C4) = C3×C22⋊C16central extension (φ=1)96C4.28(C3xC2^2:C4)192,154
C4.29(C3×C22⋊C4) = C3×C23.C8central extension (φ=1)484C4.29(C3xC2^2:C4)192,155
C4.30(C3×C22⋊C4) = C3×D4.C8central extension (φ=1)962C4.30(C3xC2^2:C4)192,156
C4.31(C3×C22⋊C4) = C6×C22⋊C8central extension (φ=1)96C4.31(C3xC2^2:C4)192,839
C4.32(C3×C22⋊C4) = C3×C23.24D4central extension (φ=1)96C4.32(C3xC2^2:C4)192,849
C4.33(C3×C22⋊C4) = C6×C4≀C2central extension (φ=1)48C4.33(C3xC2^2:C4)192,853

׿
×
𝔽