# Extensions 1→N→G→Q→1 with N=C23.2F5 and Q=C2

Direct product G=N×Q with N=C23.2F5 and Q=C2
dρLabelID
C2×C23.2F5160C2xC2^3.2F5320,1135

Semidirect products G=N:Q with N=C23.2F5 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.2F51C2 = C5⋊(C23⋊C8)φ: C2/C1C2 ⊆ Out C23.2F580C2^3.2F5:1C2320,253
C23.2F52C2 = C24.F5φ: C2/C1C2 ⊆ Out C23.2F580C2^3.2F5:2C2320,271
C23.2F53C2 = C5⋊C88D4φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5:3C2320,1030
C23.2F54C2 = C5⋊C8⋊D4φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5:4C2320,1031
C23.2F55C2 = D10⋊M4(2)φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5:5C2320,1032
C23.2F56C2 = Dic5⋊M4(2)φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5:6C2320,1033
C23.2F57C2 = D1010M4(2)φ: C2/C1C2 ⊆ Out C23.2F580C2^3.2F5:7C2320,1094
C23.2F58C2 = D4×C5⋊C8φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5:8C2320,1110
C23.2F59C2 = C5⋊C87D4φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5:9C2320,1111
C23.2F510C2 = C202M4(2)φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5:10C2320,1112
C23.2F511C2 = (C2×D4).7F5φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5:11C2320,1113
C23.2F512C2 = (C2×D4).8F5φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5:12C2320,1114
C23.2F513C2 = C24.4F5φ: C2/C1C2 ⊆ Out C23.2F580C2^3.2F5:13C2320,1136
C23.2F514C2 = D10.11M4(2)φ: trivial image80C2^3.2F5:14C2320,1091

Non-split extensions G=N.Q with N=C23.2F5 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.2F5.1C2 = (C2×C20)⋊1C8φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5.1C2320,251
C23.2F5.2C2 = (C22×C4).F5φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5.2C2320,252
C23.2F5.3C2 = C23.(C2×F5)φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5.3C2320,1035
C23.2F5.4C2 = Dic5.13M4(2)φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5.4C2320,1095
C23.2F5.5C2 = C20.30M4(2)φ: C2/C1C2 ⊆ Out C23.2F5160C2^3.2F5.5C2320,1097
C23.2F5.6C2 = Dic5.12M4(2)φ: trivial image160C2^3.2F5.6C2320,1086
C23.2F5.7C2 = C20.34M4(2)φ: trivial image160C2^3.2F5.7C2320,1092

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