# Extensions 1→N→G→Q→1 with N=C2×C4.A4 and Q=C2

Direct product G=N×Q with N=C2×C4.A4 and Q=C2
dρLabelID
C22×C4.A464C2^2xC4.A4192,1500

Semidirect products G=N:Q with N=C2×C4.A4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.A4)⋊1C2 = SL2(𝔽3)⋊D4φ: C2/C1C2 ⊆ Out C2×C4.A432(C2xC4.A4):1C2192,986
(C2×C4.A4)⋊2C2 = SL2(𝔽3)⋊5D4φ: C2/C1C2 ⊆ Out C2×C4.A432(C2xC4.A4):2C2192,1003
(C2×C4.A4)⋊3C2 = SL2(𝔽3)⋊6D4φ: C2/C1C2 ⊆ Out C2×C4.A464(C2xC4.A4):3C2192,1005
(C2×C4.A4)⋊4C2 = C2×C4.3S4φ: C2/C1C2 ⊆ Out C2×C4.A432(C2xC4.A4):4C2192,1481
(C2×C4.A4)⋊5C2 = GL2(𝔽3)⋊C22φ: C2/C1C2 ⊆ Out C2×C4.A4324(C2xC4.A4):5C2192,1482
(C2×C4.A4)⋊6C2 = C2×C4.6S4φ: C2/C1C2 ⊆ Out C2×C4.A432(C2xC4.A4):6C2192,1480
(C2×C4.A4)⋊7C2 = C2×Q8.A4φ: C2/C1C2 ⊆ Out C2×C4.A448(C2xC4.A4):7C2192,1502
(C2×C4.A4)⋊8C2 = C2×D4.A4φ: C2/C1C2 ⊆ Out C2×C4.A432(C2xC4.A4):8C2192,1503
(C2×C4.A4)⋊9C2 = 2- 1+43C6φ: C2/C1C2 ⊆ Out C2×C4.A4324(C2xC4.A4):9C2192,1504

Non-split extensions G=N.Q with N=C2×C4.A4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4.A4).1C2 = SL2(𝔽3).D4φ: C2/C1C2 ⊆ Out C2×C4.A464(C2xC4.A4).1C2192,984
(C2×C4.A4).2C2 = (C2×C4).S4φ: C2/C1C2 ⊆ Out C2×C4.A464(C2xC4.A4).2C2192,985
(C2×C4.A4).3C2 = C2×C4.S4φ: C2/C1C2 ⊆ Out C2×C4.A464(C2xC4.A4).3C2192,1479
(C2×C4.A4).4C2 = U2(𝔽3)⋊C2φ: C2/C1C2 ⊆ Out C2×C4.A4324(C2xC4.A4).4C2192,982
(C2×C4.A4).5C2 = C2×U2(𝔽3)φ: C2/C1C2 ⊆ Out C2×C4.A448(C2xC4.A4).5C2192,981
(C2×C4.A4).6C2 = C4.A4⋊C4φ: C2/C1C2 ⊆ Out C2×C4.A464(C2xC4.A4).6C2192,983
(C2×C4.A4).7C2 = C4○D4⋊C12φ: C2/C1C2 ⊆ Out C2×C4.A464(C2xC4.A4).7C2192,999
(C2×C4.A4).8C2 = M4(2).A4φ: C2/C1C2 ⊆ Out C2×C4.A4324(C2xC4.A4).8C2192,1013
(C2×C4.A4).9C2 = C4×C4.A4φ: trivial image64(C2xC4.A4).9C2192,997
(C2×C4.A4).10C2 = C2×C8.A4φ: trivial image64(C2xC4.A4).10C2192,1012

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