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Extensions 1→N→G→Q→1 with N=C4 and Q=C6.D6

Direct product G=N×Q with N=C4 and Q=C6.D6
dρLabelID
C4×C6.D648C4xC6.D6288,530

Semidirect products G=N:Q with N=C4 and Q=C6.D6
extensionφ:Q→Aut NdρLabelID
C4⋊1(C6.D6) = Dic3⋊5D12φ: C6.D6/C3×Dic3 → C2 ⊆ Aut C448C4:1(C6.D6)288,542
C4⋊2(C6.D6) = C62.70C23φ: C6.D6/C2×C3⋊S3 → C2 ⊆ Aut C448C4:2(C6.D6)288,548

Non-split extensions G=N.Q with N=C4 and Q=C6.D6
extensionφ:Q→Aut NdρLabelID
C4.1(C6.D6) = C6.17D24φ: C6.D6/C3×Dic3 → C2 ⊆ Aut C448C4.1(C6.D6)288,212
C4.2(C6.D6) = C12.73D12φ: C6.D6/C3×Dic3 → C2 ⊆ Aut C496C4.2(C6.D6)288,215
C4.3(C6.D6) = C12.80D12φ: C6.D6/C3×Dic3 → C2 ⊆ Aut C4484C4.3(C6.D6)288,218
C4.4(C6.D6) = C3⋊C8.22D6φ: C6.D6/C3×Dic3 → C2 ⊆ Aut C4484C4.4(C6.D6)288,465
C4.5(C6.D6) = Dic3⋊6Dic6φ: C6.D6/C3×Dic3 → C2 ⊆ Aut C496C4.5(C6.D6)288,492
C4.6(C6.D6) = C12.6Dic6φ: C6.D6/C2×C3⋊S3 → C2 ⊆ Aut C496C4.6(C6.D6)288,222
C4.7(C6.D6) = C12.8Dic6φ: C6.D6/C2×C3⋊S3 → C2 ⊆ Aut C496C4.7(C6.D6)288,224
C4.8(C6.D6) = C62.5Q8φ: C6.D6/C2×C3⋊S3 → C2 ⊆ Aut C4484C4.8(C6.D6)288,226
C4.9(C6.D6) = C3⋊C8⋊20D6φ: C6.D6/C2×C3⋊S3 → C2 ⊆ Aut C4244C4.9(C6.D6)288,466
C4.10(C6.D6) = C62.19C23φ: C6.D6/C2×C3⋊S3 → C2 ⊆ Aut C448C4.10(C6.D6)288,497
C4.11(C6.D6) = C24.60D6central extension (φ=1)484C4.11(C6.D6)288,190
C4.12(C6.D6) = C24.62D6central extension (φ=1)484C4.12(C6.D6)288,192
C4.13(C6.D6) = Dic3×C3⋊C8central extension (φ=1)96C4.13(C6.D6)288,200
C4.14(C6.D6) = C3⋊C8⋊Dic3central extension (φ=1)96C4.14(C6.D6)288,202
C4.15(C6.D6) = C2×C12.29D6central extension (φ=1)48C4.15(C6.D6)288,464
C4.16(C6.D6) = C2×C12.31D6central extension (φ=1)48C4.16(C6.D6)288,468
C4.17(C6.D6) = C62.44C23central extension (φ=1)48C4.17(C6.D6)288,522

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