Extensions 1→N→G→Q→1 with N=C80⋊C2 and Q=C2

Direct product G=N×Q with N=C80⋊C2 and Q=C2
dρLabelID
C2×C80⋊C2160C2xC80:C2320,527

Semidirect products G=N:Q with N=C80⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
C80⋊C21C2 = C16⋊D10φ: C2/C1C2 ⊆ Out C80⋊C2804+C80:C2:1C2320,541
C80⋊C22C2 = SD32⋊D5φ: C2/C1C2 ⊆ Out C80⋊C21604-C80:C2:2C2320,542
C80⋊C23C2 = D16⋊D5φ: C2/C1C2 ⊆ Out C80⋊C2804C80:C2:3C2320,538
C80⋊C24C2 = Q32⋊D5φ: C2/C1C2 ⊆ Out C80⋊C21604C80:C2:4C2320,545
C80⋊C25C2 = D5×M5(2)φ: C2/C1C2 ⊆ Out C80⋊C2804C80:C2:5C2320,533
C80⋊C26C2 = D20.5C8φ: C2/C1C2 ⊆ Out C80⋊C21604C80:C2:6C2320,534
C80⋊C27C2 = D20.6C8φ: trivial image1602C80:C2:7C2320,528

Non-split extensions G=N.Q with N=C80⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
C80⋊C2.1C2 = C804C4φ: C2/C1C2 ⊆ Out C80⋊C2804C80:C2.1C2320,185
C80⋊C2.2C2 = C805C4φ: C2/C1C2 ⊆ Out C80⋊C2804C80:C2.2C2320,186
C80⋊C2.3C2 = C16⋊F5φ: C2/C1C2 ⊆ Out C80⋊C2804C80:C2.3C2320,183
C80⋊C2.4C2 = C164F5φ: C2/C1C2 ⊆ Out C80⋊C2804C80:C2.4C2320,184

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