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Extensions 1→N→G→Q→1 with N=C4 and Q=C22:C4

Direct product G=NxQ with N=C4 and Q=C22:C4
dρLabelID
C4xC22:C432C4xC2^2:C464,58

Semidirect products G=N:Q with N=C4 and Q=C22:C4
extensionφ:Q→Aut NdρLabelID
C4:1(C22:C4) = C24.3C22φ: C22:C4/C2xC4 → C2 ⊆ Aut C432C4:1(C2^2:C4)64,71
C4:2(C22:C4) = C23.7Q8φ: C22:C4/C23 → C2 ⊆ Aut C432C4:2(C2^2:C4)64,61

Non-split extensions G=N.Q with N=C4 and Q=C22:C4
extensionφ:Q→Aut NdρLabelID
C4.1(C22:C4) = C2.D16φ: C22:C4/C2xC4 → C2 ⊆ Aut C432C4.1(C2^2:C4)64,38
C4.2(C22:C4) = C2.Q32φ: C22:C4/C2xC4 → C2 ⊆ Aut C464C4.2(C2^2:C4)64,39
C4.3(C22:C4) = D8.C4φ: C22:C4/C2xC4 → C2 ⊆ Aut C4322C4.3(C2^2:C4)64,40
C4.4(C22:C4) = D8:2C4φ: C22:C4/C2xC4 → C2 ⊆ Aut C4164C4.4(C2^2:C4)64,41
C4.5(C22:C4) = M5(2):C2φ: C22:C4/C2xC4 → C2 ⊆ Aut C4164+C4.5(C2^2:C4)64,42
C4.6(C22:C4) = C8.17D4φ: C22:C4/C2xC4 → C2 ⊆ Aut C4324-C4.6(C2^2:C4)64,43
C4.7(C22:C4) = C23.67C23φ: C22:C4/C2xC4 → C2 ⊆ Aut C464C4.7(C2^2:C4)64,72
C4.8(C22:C4) = (C22xC8):C2φ: C22:C4/C2xC4 → C2 ⊆ Aut C432C4.8(C2^2:C4)64,89
C4.9(C22:C4) = C23.C23φ: C22:C4/C2xC4 → C2 ⊆ Aut C4164C4.9(C2^2:C4)64,91
C4.10(C22:C4) = C2xC4.D4φ: C22:C4/C2xC4 → C2 ⊆ Aut C416C4.10(C2^2:C4)64,92
C4.11(C22:C4) = C2xC4.10D4φ: C22:C4/C2xC4 → C2 ⊆ Aut C432C4.11(C2^2:C4)64,93
C4.12(C22:C4) = C2xD4:C4φ: C22:C4/C2xC4 → C2 ⊆ Aut C432C4.12(C2^2:C4)64,95
C4.13(C22:C4) = C2xQ8:C4φ: C22:C4/C2xC4 → C2 ⊆ Aut C464C4.13(C2^2:C4)64,96
C4.14(C22:C4) = C23.37D4φ: C22:C4/C2xC4 → C2 ⊆ Aut C416C4.14(C2^2:C4)64,99
C4.15(C22:C4) = C23.38D4φ: C22:C4/C2xC4 → C2 ⊆ Aut C432C4.15(C2^2:C4)64,100
C4.16(C22:C4) = C2xC4wrC2φ: C22:C4/C2xC4 → C2 ⊆ Aut C416C4.16(C2^2:C4)64,101
C4.17(C22:C4) = C4.9C42φ: C22:C4/C23 → C2 ⊆ Aut C4164C4.17(C2^2:C4)64,18
C4.18(C22:C4) = C4.10C42φ: C22:C4/C23 → C2 ⊆ Aut C4164C4.18(C2^2:C4)64,19
C4.19(C22:C4) = C22.4Q16φ: C22:C4/C23 → C2 ⊆ Aut C464C4.19(C2^2:C4)64,21
C4.20(C22:C4) = C4.C42φ: C22:C4/C23 → C2 ⊆ Aut C432C4.20(C2^2:C4)64,22
C4.21(C22:C4) = C22.C42φ: C22:C4/C23 → C2 ⊆ Aut C432C4.21(C2^2:C4)64,24
C4.22(C22:C4) = M4(2):4C4φ: C22:C4/C23 → C2 ⊆ Aut C4164C4.22(C2^2:C4)64,25
C4.23(C22:C4) = C24.4C4φ: C22:C4/C23 → C2 ⊆ Aut C416C4.23(C2^2:C4)64,88
C4.24(C22:C4) = C23.36D4φ: C22:C4/C23 → C2 ⊆ Aut C432C4.24(C2^2:C4)64,98
C4.25(C22:C4) = C42:C22φ: C22:C4/C23 → C2 ⊆ Aut C4164C4.25(C2^2:C4)64,102
C4.26(C22:C4) = C22.7C42central extension (φ=1)64C4.26(C2^2:C4)64,17
C4.27(C22:C4) = C42:6C4central extension (φ=1)16C4.27(C2^2:C4)64,20
C4.28(C22:C4) = C22:C16central extension (φ=1)32C4.28(C2^2:C4)64,29
C4.29(C22:C4) = C23.C8central extension (φ=1)164C4.29(C2^2:C4)64,30
C4.30(C22:C4) = D4.C8central extension (φ=1)322C4.30(C2^2:C4)64,31
C4.31(C22:C4) = C2xC22:C8central extension (φ=1)32C4.31(C2^2:C4)64,87
C4.32(C22:C4) = M4(2).8C22central extension (φ=1)164C4.32(C2^2:C4)64,94
C4.33(C22:C4) = C23.24D4central extension (φ=1)32C4.33(C2^2:C4)64,97

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