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Extensions 1→N→G→Q→1 with N=C22 and Q=C42.C2

Direct product G=N×Q with N=C22 and Q=C42.C2
dρLabelID
C22×C42.C2128C2^2xC4^2.C2128,2169

Semidirect products G=N:Q with N=C22 and Q=C42.C2
extensionφ:Q→Aut NdρLabelID
C22⋊1(C42.C2) = C42.439D4φ: C42.C2/C42 → C2 ⊆ Aut C2264C2^2:1(C4^2.C2)128,1583
C22⋊2(C42.C2) = C24.569C23φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2:2(C4^2.C2)128,1174
C22⋊3(C42.C2) = C24.572C23φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2:3(C4^2.C2)128,1205

Non-split extensions G=N.Q with N=C22 and Q=C42.C2
extensionφ:Q→Aut NdρLabelID
C22.1(C42.C2) = C42.322D4φ: C42.C2/C42 → C2 ⊆ Aut C2264C2^2.1(C4^2.C2)128,569
C22.2(C42.C2) = C42.104D4φ: C42.C2/C42 → C2 ⊆ Aut C2264C2^2.2(C4^2.C2)128,570
C22.3(C42.C2) = C42.62Q8φ: C42.C2/C42 → C2 ⊆ Aut C2232C2^2.3(C4^2.C2)128,677
C22.4(C42.C2) = C42.28Q8φ: C42.C2/C42 → C2 ⊆ Aut C2232C2^2.4(C4^2.C2)128,678
C22.5(C42.C2) = C23.546C24φ: C42.C2/C42 → C2 ⊆ Aut C2264C2^2.5(C4^2.C2)128,1378
C22.6(C42.C2) = C8.(C4⋊C4)φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C22324C2^2.6(C4^2.C2)128,565
C22.7(C42.C2) = M4(2).3Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C2232C2^2.7(C4^2.C2)128,654
C22.8(C42.C2) = C42.430D4φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.8(C4^2.C2)128,682
C22.9(C42.C2) = M4(2).5Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.9(C4^2.C2)128,683
C22.10(C42.C2) = M4(2).6Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.10(C4^2.C2)128,684
C22.11(C42.C2) = M4(2).Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.11(C4^2.C2)128,821
C22.12(C42.C2) = M4(2).2Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.12(C4^2.C2)128,822
C22.13(C42.C2) = C22⋊C4.Q8φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C22324C2^2.13(C4^2.C2)128,835
C22.14(C42.C2) = C23.405C24φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.14(C4^2.C2)128,1237
C22.15(C42.C2) = C24.584C23φ: C42.C2/C4⋊C4 → C2 ⊆ Aut C2264C2^2.15(C4^2.C2)128,1301
C22.16(C42.C2) = C24.624C23central extension (φ=1)128C2^2.16(C4^2.C2)128,166
C22.17(C42.C2) = C24.625C23central extension (φ=1)128C2^2.17(C4^2.C2)128,167
C22.18(C42.C2) = C24.626C23central extension (φ=1)128C2^2.18(C4^2.C2)128,168
C22.19(C42.C2) = C24.631C23central extension (φ=1)128C2^2.19(C4^2.C2)128,173
C22.20(C42.C2) = C24.632C23central extension (φ=1)128C2^2.20(C4^2.C2)128,174
C22.21(C42.C2) = C24.633C23central extension (φ=1)128C2^2.21(C4^2.C2)128,175
C22.22(C42.C2) = C24.634C23central extension (φ=1)128C2^2.22(C4^2.C2)128,176
C22.23(C42.C2) = C24.635C23central extension (φ=1)128C2^2.23(C4^2.C2)128,177
C22.24(C42.C2) = C2×C42⋊8C4central extension (φ=1)128C2^2.24(C4^2.C2)128,1013
C22.25(C42.C2) = C2×C23.63C23central extension (φ=1)128C2^2.25(C4^2.C2)128,1020
C22.26(C42.C2) = C2×C23.65C23central extension (φ=1)128C2^2.26(C4^2.C2)128,1023
C22.27(C42.C2) = C2×C23.81C23central extension (φ=1)128C2^2.27(C4^2.C2)128,1123
C22.28(C42.C2) = C2×C23.83C23central extension (φ=1)128C2^2.28(C4^2.C2)128,1126

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