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Extensions 1→N→G→Q→1 with N=C33 and Q=C4:C4

Direct product G=NxQ with N=C33 and Q=C4:C4
dρLabelID
C4:C4xC33432C4:C4xC3^3432,514

Semidirect products G=N:Q with N=C33 and Q=C4:C4
extensionφ:Q→Aut NdρLabelID
C33:1(C4:C4) = C33:(C4:C4)φ: C4:C4/C2 → C2xC4 ⊆ Aut C33488-C3^3:1(C4:C4)432,569
C33:2(C4:C4) = C3xC3:S3.Q8φ: C4:C4/C2 → D4 ⊆ Aut C33484C3^3:2(C4:C4)432,575
C33:3(C4:C4) = C33:C4:C4φ: C4:C4/C2 → D4 ⊆ Aut C33484C3^3:3(C4:C4)432,581
C33:4(C4:C4) = (C3xC6).9D12φ: C4:C4/C2 → D4 ⊆ Aut C33488-C3^3:4(C4:C4)432,587
C33:5(C4:C4) = C3xC2.PSU3(F2)φ: C4:C4/C2 → Q8 ⊆ Aut C33488C3^3:5(C4:C4)432,591
C33:6(C4:C4) = C6.PSU3(F2)φ: C4:C4/C2 → Q8 ⊆ Aut C33488C3^3:6(C4:C4)432,592
C33:7(C4:C4) = C6.2PSU3(F2)φ: C4:C4/C2 → Q8 ⊆ Aut C33488C3^3:7(C4:C4)432,593
C33:8(C4:C4) = C3xC4:(C32:C4)φ: C4:C4/C4 → C4 ⊆ Aut C33484C3^3:8(C4:C4)432,631
C33:9(C4:C4) = C33:9(C4:C4)φ: C4:C4/C4 → C4 ⊆ Aut C33484C3^3:9(C4:C4)432,638
C33:10(C4:C4) = C3xDic3:Dic3φ: C4:C4/C22 → C22 ⊆ Aut C3348C3^3:10(C4:C4)432,428
C33:11(C4:C4) = C3xC62.C22φ: C4:C4/C22 → C22 ⊆ Aut C3348C3^3:11(C4:C4)432,429
C33:12(C4:C4) = C62.80D6φ: C4:C4/C22 → C22 ⊆ Aut C33144C3^3:12(C4:C4)432,452
C33:13(C4:C4) = C62.81D6φ: C4:C4/C22 → C22 ⊆ Aut C33144C3^3:13(C4:C4)432,453
C33:14(C4:C4) = C62.82D6φ: C4:C4/C22 → C22 ⊆ Aut C33144C3^3:14(C4:C4)432,454
C33:15(C4:C4) = C62.85D6φ: C4:C4/C22 → C22 ⊆ Aut C3348C3^3:15(C4:C4)432,462
C33:16(C4:C4) = C32xDic3:C4φ: C4:C4/C2xC4 → C2 ⊆ Aut C33144C3^3:16(C4:C4)432,472
C33:17(C4:C4) = C32xC4:Dic3φ: C4:C4/C2xC4 → C2 ⊆ Aut C33144C3^3:17(C4:C4)432,473
C33:18(C4:C4) = C3xC6.Dic6φ: C4:C4/C2xC4 → C2 ⊆ Aut C33144C3^3:18(C4:C4)432,488
C33:19(C4:C4) = C3xC12:Dic3φ: C4:C4/C2xC4 → C2 ⊆ Aut C33144C3^3:19(C4:C4)432,489
C33:20(C4:C4) = C62.146D6φ: C4:C4/C2xC4 → C2 ⊆ Aut C33432C3^3:20(C4:C4)432,504
C33:21(C4:C4) = C62.147D6φ: C4:C4/C2xC4 → C2 ⊆ Aut C33432C3^3:21(C4:C4)432,505


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