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Extensions 1→N→G→Q→1 with N=C6 and Q=C2.C42

Direct product G=N×Q with N=C6 and Q=C2.C42
dρLabelID
C6×C2.C42192C6xC2.C4^2192,808

Semidirect products G=N:Q with N=C6 and Q=C2.C42
extensionφ:Q→Aut NdρLabelID
C6⋊(C2.C42) = C2×C6.C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C6192C6:(C2.C4^2)192,767

Non-split extensions G=N.Q with N=C6 and Q=C2.C42
extensionφ:Q→Aut NdρLabelID
C6.1(C2.C42) = C12.8C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C648C6.1(C2.C4^2)192,82
C6.2(C2.C42) = (C2×C12)⋊3C8φ: C2.C42/C22×C4 → C2 ⊆ Aut C6192C6.2(C2.C4^2)192,83
C6.3(C2.C42) = C24.12D6φ: C2.C42/C22×C4 → C2 ⊆ Aut C648C6.3(C2.C4^2)192,85
C6.4(C2.C42) = C24.13D6φ: C2.C42/C22×C4 → C2 ⊆ Aut C648C6.4(C2.C4^2)192,86
C6.5(C2.C42) = C12.C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C6192C6.5(C2.C4^2)192,88
C6.6(C2.C42) = C12.(C4⋊C4)φ: C2.C42/C22×C4 → C2 ⊆ Aut C696C6.6(C2.C4^2)192,89
C6.7(C2.C42) = C42⋊3Dic3φ: C2.C42/C22×C4 → C2 ⊆ Aut C6484C6.7(C2.C4^2)192,90
C6.8(C2.C42) = C12.2C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C648C6.8(C2.C4^2)192,91
C6.9(C2.C42) = (C2×C12).Q8φ: C2.C42/C22×C4 → C2 ⊆ Aut C6484C6.9(C2.C4^2)192,92
C6.10(C2.C42) = (C2×C24)⋊5C4φ: C2.C42/C22×C4 → C2 ⊆ Aut C6192C6.10(C2.C4^2)192,109
C6.11(C2.C42) = C12.9C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C6192C6.11(C2.C4^2)192,110
C6.12(C2.C42) = C12.10C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C696C6.12(C2.C4^2)192,111
C6.13(C2.C42) = M4(2)⋊Dic3φ: C2.C42/C22×C4 → C2 ⊆ Aut C696C6.13(C2.C4^2)192,113
C6.14(C2.C42) = C12.3C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C648C6.14(C2.C4^2)192,114
C6.15(C2.C42) = (C2×C24)⋊C4φ: C2.C42/C22×C4 → C2 ⊆ Aut C6484C6.15(C2.C4^2)192,115
C6.16(C2.C42) = C12.20C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C6484C6.16(C2.C4^2)192,116
C6.17(C2.C42) = C12.4C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C696C6.17(C2.C4^2)192,117
C6.18(C2.C42) = M4(2)⋊4Dic3φ: C2.C42/C22×C4 → C2 ⊆ Aut C6484C6.18(C2.C4^2)192,118
C6.19(C2.C42) = C12.21C42φ: C2.C42/C22×C4 → C2 ⊆ Aut C6484C6.19(C2.C4^2)192,119
C6.20(C2.C42) = C3×C22.7C42central extension (φ=1)192C6.20(C2.C4^2)192,142
C6.21(C2.C42) = C3×C4.9C42central extension (φ=1)484C6.21(C2.C4^2)192,143
C6.22(C2.C42) = C3×C4.10C42central extension (φ=1)484C6.22(C2.C4^2)192,144
C6.23(C2.C42) = C3×C42⋊6C4central extension (φ=1)48C6.23(C2.C4^2)192,145
C6.24(C2.C42) = C3×C22.4Q16central extension (φ=1)192C6.24(C2.C4^2)192,146
C6.25(C2.C42) = C3×C4.C42central extension (φ=1)96C6.25(C2.C4^2)192,147
C6.26(C2.C42) = C3×C23.9D4central extension (φ=1)48C6.26(C2.C4^2)192,148
C6.27(C2.C42) = C3×C22.C42central extension (φ=1)96C6.27(C2.C4^2)192,149
C6.28(C2.C42) = C3×M4(2)⋊4C4central extension (φ=1)484C6.28(C2.C4^2)192,150

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