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Extensions 1→N→G→Q→1 with N=Dic5.A4 and Q=C2

Direct product G=NxQ with N=Dic5.A4 and Q=C2
dρLabelID
C2xDic5.A4160C2xDic5.A4480,1038

Semidirect products G=N:Q with N=Dic5.A4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.A4:1C2 = Dic5.6S4φ: C2/C1 → C2 ⊆ Out Dic5.A4804Dic5.A4:1C2480,968
Dic5.A4:2C2 = Dic5.7S4φ: C2/C1 → C2 ⊆ Out Dic5.A4804+Dic5.A4:2C2480,969
Dic5.A4:3C2 = GL2(F3):D5φ: C2/C1 → C2 ⊆ Out Dic5.A4804+Dic5.A4:3C2480,970
Dic5.A4:4C2 = SL2(F3).11D10φ: C2/C1 → C2 ⊆ Out Dic5.A4804Dic5.A4:4C2480,1040
Dic5.A4:5C2 = Dic10.A4φ: C2/C1 → C2 ⊆ Out Dic5.A41204+Dic5.A4:5C2480,1041
Dic5.A4:6C2 = D5xC4.A4φ: trivial image804Dic5.A4:6C2480,1042

Non-split extensions G=N.Q with N=Dic5.A4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.A4.1C2 = CSU2(F3):D5φ: C2/C1 → C2 ⊆ Out Dic5.A41604Dic5.A4.1C2480,967
Dic5.A4.2C2 = C5:U2(F3)φ: C2/C1 → C2 ⊆ Out Dic5.A41208+Dic5.A4.2C2480,961
Dic5.A4.3C2 = SL2(F3).F5φ: C2/C1 → C2 ⊆ Out Dic5.A41608+Dic5.A4.3C2480,964

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