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Extensions 1→N→G→Q→1 with N=C40.6C4 and Q=C2

Direct product G=N×Q with N=C40.6C4 and Q=C2
dρLabelID
C2×C40.6C4160C2xC40.6C4320,734

Semidirect products G=N:Q with N=C40.6C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40.6C4⋊1C2 = D40.3C4φ: C2/C1 → C2 ⊆ Out C40.6C41602C40.6C4:1C2320,68
C40.6C4⋊2C2 = D8.Dic5φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4:2C2320,121
C40.6C4⋊3C2 = C40.23D4φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4:3C2320,787
C40.6C4⋊4C2 = C40.29D4φ: C2/C1 → C2 ⊆ Out C40.6C41604C40.6C4:4C2320,819
C40.6C4⋊5C2 = C20.58D8φ: C2/C1 → C2 ⊆ Out C40.6C41604C40.6C4:5C2320,125
C40.6C4⋊6C2 = D5×C8.C4φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4:6C2320,519
C40.6C4⋊7C2 = M4(2).25D10φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4:7C2320,520
C40.6C4⋊8C2 = D8⋊5Dic5φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4:8C2320,823
C40.6C4⋊9C2 = D8⋊4Dic5φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4:9C2320,824
C40.6C4⋊10C2 = C40.44D4φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4:10C2320,804
C40.6C4⋊11C2 = D40.4C4φ: C2/C1 → C2 ⊆ Out C40.6C4804+C40.6C4:11C2320,74
C40.6C4⋊12C2 = D40⋊10C4φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4:12C2320,344
C40.6C4⋊13C2 = M4(2).Dic5φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4:13C2320,752
C40.6C4⋊14C2 = D4.3D20φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4:14C2320,768
C40.6C4⋊15C2 = D4.4D20φ: C2/C1 → C2 ⊆ Out C40.6C4804+C40.6C4:15C2320,769
C40.6C4⋊16C2 = D4.5D20φ: C2/C1 → C2 ⊆ Out C40.6C41604-C40.6C4:16C2320,770
C40.6C4⋊17C2 = D40⋊17C4φ: trivial image802C40.6C4:17C2320,327

Non-split extensions G=N.Q with N=C40.6C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C40.6C4.1C2 = C80.6C4φ: C2/C1 → C2 ⊆ Out C40.6C41602C40.6C4.1C2320,64
C40.6C4.2C2 = Q16.Dic5φ: C2/C1 → C2 ⊆ Out C40.6C41604C40.6C4.2C2320,123
C40.6C4.3C2 = C40.7Q8φ: C2/C1 → C2 ⊆ Out C40.6C41604C40.6C4.3C2320,51
C40.6C4.4C2 = C8.Dic10φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4.4C2320,45
C40.6C4.5C2 = C40.Q8φ: C2/C1 → C2 ⊆ Out C40.6C4804C40.6C4.5C2320,71
C40.6C4.6C2 = C20.4D8φ: C2/C1 → C2 ⊆ Out C40.6C41604-C40.6C4.6C2320,75

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