Extensions 1→N→G→Q→1 with N=C23:C4 and Q=C10

Direct product G=NxQ with N=C23:C4 and Q=C10
dρLabelID
C10xC23:C480C10xC2^3:C4320,910

Semidirect products G=N:Q with N=C23:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
C23:C4:1C10 = C5xC2wrC4φ: C10/C5C2 ⊆ Out C23:C4404C2^3:C4:1C10320,156
C23:C4:2C10 = C5xC42:C4φ: C10/C5C2 ⊆ Out C23:C4404C2^3:C4:2C10320,158
C23:C4:3C10 = C5xC2wrC22φ: C10/C5C2 ⊆ Out C23:C4404C2^3:C4:3C10320,958
C23:C4:4C10 = C5xC23.7D4φ: C10/C5C2 ⊆ Out C23:C4804C2^3:C4:4C10320,959
C23:C4:5C10 = C5xC23.C23φ: trivial image804C2^3:C4:5C10320,911

Non-split extensions G=N.Q with N=C23:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
C23:C4.1C10 = C5xC23.D4φ: C10/C5C2 ⊆ Out C23:C4804C2^3:C4.1C10320,157
C23:C4.2C10 = C5xC42:3C4φ: C10/C5C2 ⊆ Out C23:C4804C2^3:C4.2C10320,159

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