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Extensions 1→N→G→Q→1 with N=C5×C23⋊C4 and Q=C2

Direct product G=N×Q with N=C5×C23⋊C4 and Q=C2
dρLabelID
C10×C23⋊C480C10xC2^3:C4320,910

Semidirect products G=N:Q with N=C5×C23⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C23⋊C4)⋊1C2 = C5⋊3C2≀C4φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4408+(C5xC2^3:C4):1C2320,29
(C5×C23⋊C4)⋊2C2 = C23.2D20φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4408+(C5xC2^3:C4):2C2320,32
(C5×C23⋊C4)⋊3C2 = C23⋊C4⋊5D5φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4808-(C5xC2^3:C4):3C2320,367
(C5×C23⋊C4)⋊4C2 = C23⋊D20φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4408+(C5xC2^3:C4):4C2320,368
(C5×C23⋊C4)⋊5C2 = C23.5D20φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4808-(C5xC2^3:C4):5C2320,369
(C5×C23⋊C4)⋊6C2 = D5×C23⋊C4φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4408+(C5xC2^3:C4):6C2320,370
(C5×C23⋊C4)⋊7C2 = C5×C2≀C4φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4404(C5xC2^3:C4):7C2320,156
(C5×C23⋊C4)⋊8C2 = C5×C42⋊C4φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4404(C5xC2^3:C4):8C2320,158
(C5×C23⋊C4)⋊9C2 = C5×C2≀C22φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4404(C5xC2^3:C4):9C2320,958
(C5×C23⋊C4)⋊10C2 = C5×C23.7D4φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4804(C5xC2^3:C4):10C2320,959
(C5×C23⋊C4)⋊11C2 = C5×C23.C23φ: trivial image804(C5xC2^3:C4):11C2320,911

Non-split extensions G=N.Q with N=C5×C23⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C23⋊C4).1C2 = (C2×C20).D4φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4808-(C5xC2^3:C4).1C2320,30
(C5×C23⋊C4).2C2 = C23.D20φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4808-(C5xC2^3:C4).2C2320,31
(C5×C23⋊C4).3C2 = C5×C23.D4φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4804(C5xC2^3:C4).3C2320,157
(C5×C23⋊C4).4C2 = C5×C42⋊3C4φ: C2/C1 → C2 ⊆ Out C5×C23⋊C4804(C5xC2^3:C4).4C2320,159

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