Extensions 1→N→G→Q→1 with N=Dic5.D4 and Q=C2

Direct product G=N×Q with N=Dic5.D4 and Q=C2
dρLabelID
C2×Dic5.D4160C2xDic5.D4320,1098

Semidirect products G=N:Q with N=Dic5.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.D41C2 = C42.2F5φ: C2/C1C2 ⊆ Out Dic5.D4804Dic5.D4:1C2320,194
Dic5.D42C2 = (D4×C10).C4φ: C2/C1C2 ⊆ Out Dic5.D4808-Dic5.D4:2C2320,261
Dic5.D43C2 = (C2×D4).9F5φ: C2/C1C2 ⊆ Out Dic5.D4808-Dic5.D4:3C2320,1115
Dic5.D44C2 = (C2×Q8).7F5φ: C2/C1C2 ⊆ Out Dic5.D4808-Dic5.D4:4C2320,1127
Dic5.D45C2 = (C4×D5).D4φ: trivial image804Dic5.D4:5C2320,1099

Non-split extensions G=N.Q with N=Dic5.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.D4.1C2 = C42.F5φ: C2/C1C2 ⊆ Out Dic5.D4804-Dic5.D4.1C2320,193
Dic5.D4.2C2 = (Q8×C10).C4φ: C2/C1C2 ⊆ Out Dic5.D4808-Dic5.D4.2C2320,267

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