Extensions 1→N→G→Q→1 with N=C6 and Q=C42

Direct product G=NxQ with N=C6 and Q=C42
dρLabelID
C2xC4xC1296C2xC4xC1296,161

Semidirect products G=N:Q with N=C6 and Q=C42
extensionφ:Q→Aut NdρLabelID
C6:C42 = C2xC4xDic3φ: C42/C2xC4C2 ⊆ Aut C696C6:C4^296,129

Non-split extensions G=N.Q with N=C6 and Q=C42
extensionφ:Q→Aut NdρLabelID
C6.1C42 = C4xC3:C8φ: C42/C2xC4C2 ⊆ Aut C696C6.1C4^296,9
C6.2C42 = C42.S3φ: C42/C2xC4C2 ⊆ Aut C696C6.2C4^296,10
C6.3C42 = C8xDic3φ: C42/C2xC4C2 ⊆ Aut C696C6.3C4^296,20
C6.4C42 = C24:C4φ: C42/C2xC4C2 ⊆ Aut C696C6.4C4^296,22
C6.5C42 = C6.C42φ: C42/C2xC4C2 ⊆ Aut C696C6.5C4^296,38
C6.6C42 = C3xC2.C42central extension (φ=1)96C6.6C4^296,45
C6.7C42 = C3xC8:C4central extension (φ=1)96C6.7C4^296,47

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