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Extensions 1→N→G→Q→1 with N=C22 and Q=C22xA4

Direct product G=NxQ with N=C22 and Q=C22xA4
dρLabelID
A4xC2448A4xC2^4192,1539

Semidirect products G=N:Q with N=C22 and Q=C22xA4
extensionφ:Q→Aut NdρLabelID
C22:(C22xA4) = C22xC22:A4φ: C22xA4/C24 → C3 ⊆ Aut C2212C2^2:(C2^2xA4)192,1540
C22:2(C22xA4) = C2xD4xA4φ: C22xA4/C2xA4 → C2 ⊆ Aut C2224C2^2:2(C2^2xA4)192,1497

Non-split extensions G=N.Q with N=C22 and Q=C22xA4
extensionφ:Q→Aut NdρLabelID
C22.1(C22xA4) = C22xC42:C3φ: C22xA4/C24 → C3 ⊆ Aut C2224C2^2.1(C2^2xA4)192,992
C22.2(C22xA4) = C2xC24:C6φ: C22xA4/C24 → C3 ⊆ Aut C22126+C2^2.2(C2^2xA4)192,1000
C22.3(C22xA4) = C2xC42:C6φ: C22xA4/C24 → C3 ⊆ Aut C22246C2^2.3(C2^2xA4)192,1001
C22.4(C22xA4) = C2xC23.A4φ: C22xA4/C24 → C3 ⊆ Aut C22126+C2^2.4(C2^2xA4)192,1002
C22.5(C22xA4) = C24.6A4φ: C22xA4/C24 → C3 ⊆ Aut C221612+C2^2.5(C2^2xA4)192,1008
C22.6(C22xA4) = C24:A4φ: C22xA4/C24 → C3 ⊆ Aut C221612+C2^2.6(C2^2xA4)192,1009
C22.7(C22xA4) = A4xC4oD4φ: C22xA4/C2xA4 → C2 ⊆ Aut C22246C2^2.7(C2^2xA4)192,1501
C22.8(C22xA4) = C2xD4.A4φ: C22xA4/C2xA4 → C2 ⊆ Aut C2232C2^2.8(C2^2xA4)192,1503
C22.9(C22xA4) = 2- 1+4:3C6φ: C22xA4/C2xA4 → C2 ⊆ Aut C22324C2^2.9(C2^2xA4)192,1504
C22.10(C22xA4) = A4xC42central extension (φ=1)48C2^2.10(C2^2xA4)192,993
C22.11(C22xA4) = A4xC22:C4central extension (φ=1)24C2^2.11(C2^2xA4)192,994
C22.12(C22xA4) = A4xC4:C4central extension (φ=1)48C2^2.12(C2^2xA4)192,995
C22.13(C22xA4) = C2xC4xSL2(F3)central extension (φ=1)64C2^2.13(C2^2xA4)192,996
C22.14(C22xA4) = C4xC4.A4central extension (φ=1)64C2^2.14(C2^2xA4)192,997
C22.15(C22xA4) = (C2xQ8):C12central extension (φ=1)32C2^2.15(C2^2xA4)192,998
C22.16(C22xA4) = C4oD4:C12central extension (φ=1)64C2^2.16(C2^2xA4)192,999
C22.17(C22xA4) = A4xC22xC4central extension (φ=1)48C2^2.17(C2^2xA4)192,1496
C22.18(C22xA4) = C23xSL2(F3)central extension (φ=1)64C2^2.18(C2^2xA4)192,1498
C22.19(C22xA4) = C2xQ8xA4central extension (φ=1)48C2^2.19(C2^2xA4)192,1499
C22.20(C22xA4) = C22xC4.A4central extension (φ=1)64C2^2.20(C2^2xA4)192,1500
C22.21(C22xA4) = C2xQ8.A4central extension (φ=1)48C2^2.21(C2^2xA4)192,1502
C22.22(C22xA4) = SL2(F3):5D4central stem extension (φ=1)32C2^2.22(C2^2xA4)192,1003
C22.23(C22xA4) = D4xSL2(F3)central stem extension (φ=1)32C2^2.23(C2^2xA4)192,1004
C22.24(C22xA4) = SL2(F3):6D4central stem extension (φ=1)64C2^2.24(C2^2xA4)192,1005
C22.25(C22xA4) = SL2(F3):3Q8central stem extension (φ=1)64C2^2.25(C2^2xA4)192,1006
C22.26(C22xA4) = Q8xSL2(F3)central stem extension (φ=1)64C2^2.26(C2^2xA4)192,1007

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