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Extensions 1→N→G→Q→1 with N=C62 and Q=C2×C4

Direct product G=N×Q with N=C62 and Q=C2×C4
dρLabelID
C22×C124496C2^2xC124496,37

Semidirect products G=N:Q with N=C62 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C62⋊1(C2×C4) = C2×C4×D31φ: C2×C4/C4 → C2 ⊆ Aut C62248C62:1(C2xC4)496,28
C62⋊2(C2×C4) = C22×Dic31φ: C2×C4/C22 → C2 ⊆ Aut C62496C62:2(C2xC4)496,35

Non-split extensions G=N.Q with N=C62 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C62.1(C2×C4) = C8×D31φ: C2×C4/C4 → C2 ⊆ Aut C622482C62.1(C2xC4)496,3
C62.2(C2×C4) = C8⋊D31φ: C2×C4/C4 → C2 ⊆ Aut C622482C62.2(C2xC4)496,4
C62.3(C2×C4) = C4×Dic31φ: C2×C4/C4 → C2 ⊆ Aut C62496C62.3(C2xC4)496,10
C62.4(C2×C4) = Dic31⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C62496C62.4(C2xC4)496,11
C62.5(C2×C4) = D62⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C62248C62.5(C2xC4)496,13
C62.6(C2×C4) = C2×C31⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C62496C62.6(C2xC4)496,8
C62.7(C2×C4) = C4.Dic31φ: C2×C4/C22 → C2 ⊆ Aut C622482C62.7(C2xC4)496,9
C62.8(C2×C4) = C4⋊Dic31φ: C2×C4/C22 → C2 ⊆ Aut C62496C62.8(C2xC4)496,12
C62.9(C2×C4) = C23.D31φ: C2×C4/C22 → C2 ⊆ Aut C62248C62.9(C2xC4)496,18
C62.10(C2×C4) = C22⋊C4×C31central extension (φ=1)248C62.10(C2xC4)496,20
C62.11(C2×C4) = C4⋊C4×C31central extension (φ=1)496C62.11(C2xC4)496,21
C62.12(C2×C4) = M4(2)×C31central extension (φ=1)2482C62.12(C2xC4)496,23

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