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Extensions 1→N→G→Q→1 with N=C2×C30 and Q=C8

Direct product G=N×Q with N=C2×C30 and Q=C8
dρLabelID
C22×C120480C2^2xC120480,934

Semidirect products G=N:Q with N=C2×C30 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2×C30)⋊1C8 = C30.22M4(2)φ: C8/C2 → C4 ⊆ Aut C2×C30240(C2xC30):1C8480,317
(C2×C30)⋊2C8 = C22×C15⋊C8φ: C8/C2 → C4 ⊆ Aut C2×C30480(C2xC30):2C8480,1070
(C2×C30)⋊3C8 = C3×C23.2F5φ: C8/C2 → C4 ⊆ Aut C2×C30240(C2xC30):3C8480,292
(C2×C30)⋊4C8 = C2×C6×C5⋊C8φ: C8/C2 → C4 ⊆ Aut C2×C30480(C2xC30):4C8480,1057
(C2×C30)⋊5C8 = C15×C22⋊C8φ: C8/C4 → C2 ⊆ Aut C2×C30240(C2xC30):5C8480,201
(C2×C30)⋊6C8 = C60.212D4φ: C8/C4 → C2 ⊆ Aut C2×C30240(C2xC30):6C8480,190
(C2×C30)⋊7C8 = C22×C15⋊3C8φ: C8/C4 → C2 ⊆ Aut C2×C30480(C2xC30):7C8480,885
(C2×C30)⋊8C8 = C3×C20.55D4φ: C8/C4 → C2 ⊆ Aut C2×C30240(C2xC30):8C8480,108
(C2×C30)⋊9C8 = C2×C6×C5⋊2C8φ: C8/C4 → C2 ⊆ Aut C2×C30480(C2xC30):9C8480,713
(C2×C30)⋊10C8 = C5×C12.55D4φ: C8/C4 → C2 ⊆ Aut C2×C30240(C2xC30):10C8480,149
(C2×C30)⋊11C8 = C2×C10×C3⋊C8φ: C8/C4 → C2 ⊆ Aut C2×C30480(C2xC30):11C8480,799

Non-split extensions G=N.Q with N=C2×C30 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C2×C30).1C8 = C2×C15⋊C16φ: C8/C2 → C4 ⊆ Aut C2×C30480(C2xC30).1C8480,302
(C2×C30).2C8 = C60.C8φ: C8/C2 → C4 ⊆ Aut C2×C302404(C2xC30).2C8480,303
(C2×C30).3C8 = C6×C5⋊C16φ: C8/C2 → C4 ⊆ Aut C2×C30480(C2xC30).3C8480,277
(C2×C30).4C8 = C3×C20.C8φ: C8/C2 → C4 ⊆ Aut C2×C302404(C2xC30).4C8480,278
(C2×C30).5C8 = C15×M5(2)φ: C8/C4 → C2 ⊆ Aut C2×C302402(C2xC30).5C8480,213
(C2×C30).6C8 = C2×C15⋊3C16φ: C8/C4 → C2 ⊆ Aut C2×C30480(C2xC30).6C8480,171
(C2×C30).7C8 = C60.7C8φ: C8/C4 → C2 ⊆ Aut C2×C302402(C2xC30).7C8480,172
(C2×C30).8C8 = C6×C5⋊2C16φ: C8/C4 → C2 ⊆ Aut C2×C30480(C2xC30).8C8480,89
(C2×C30).9C8 = C3×C20.4C8φ: C8/C4 → C2 ⊆ Aut C2×C302402(C2xC30).9C8480,90
(C2×C30).10C8 = C10×C3⋊C16φ: C8/C4 → C2 ⊆ Aut C2×C30480(C2xC30).10C8480,130
(C2×C30).11C8 = C5×C12.C8φ: C8/C4 → C2 ⊆ Aut C2×C302402(C2xC30).11C8480,131

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