Extensions 1→N→G→Q→1 with N=C32 and Q=C22:Q8

Direct product G=NxQ with N=C32 and Q=C22:Q8
dρLabelID
C32xC22:Q8144C3^2xC2^2:Q8288,819

Semidirect products G=N:Q with N=C32 and Q=C22:Q8
extensionφ:Q→Aut NdρLabelID
C32:1(C22:Q8) = S32:Q8φ: C22:Q8/C4D4 ⊆ Aut C32244C3^2:1(C2^2:Q8)288,868
C32:2(C22:Q8) = C62:Q8φ: C22:Q8/C22Q8 ⊆ Aut C32248+C3^2:2(C2^2:Q8)288,895
C32:3(C22:Q8) = D6:Dic6φ: C22:Q8/C2xC4C22 ⊆ Aut C3296C3^2:3(C2^2:Q8)288,499
C32:4(C22:Q8) = D6:6Dic6φ: C22:Q8/C2xC4C22 ⊆ Aut C3296C3^2:4(C2^2:Q8)288,504
C32:5(C22:Q8) = D6:7Dic6φ: C22:Q8/C2xC4C22 ⊆ Aut C3296C3^2:5(C2^2:Q8)288,505
C32:6(C22:Q8) = C62.35C23φ: C22:Q8/C2xC4C22 ⊆ Aut C3248C3^2:6(C2^2:Q8)288,513
C32:7(C22:Q8) = C12.30D12φ: C22:Q8/C2xC4C22 ⊆ Aut C3248C3^2:7(C2^2:Q8)288,519
C32:8(C22:Q8) = D6:1Dic6φ: C22:Q8/C2xC4C22 ⊆ Aut C3296C3^2:8(C2^2:Q8)288,535
C32:9(C22:Q8) = C62.58C23φ: C22:Q8/C2xC4C22 ⊆ Aut C3248C3^2:9(C2^2:Q8)288,536
C32:10(C22:Q8) = D6:2Dic6φ: C22:Q8/C2xC4C22 ⊆ Aut C3296C3^2:10(C2^2:Q8)288,541
C32:11(C22:Q8) = C62.65C23φ: C22:Q8/C2xC4C22 ⊆ Aut C3248C3^2:11(C2^2:Q8)288,543
C32:12(C22:Q8) = D6:3Dic6φ: C22:Q8/C2xC4C22 ⊆ Aut C3296C3^2:12(C2^2:Q8)288,544
C32:13(C22:Q8) = D6:4Dic6φ: C22:Q8/C2xC4C22 ⊆ Aut C3296C3^2:13(C2^2:Q8)288,547
C32:14(C22:Q8) = C62:3Q8φ: C22:Q8/C23C22 ⊆ Aut C3248C3^2:14(C2^2:Q8)288,612
C32:15(C22:Q8) = C62:4Q8φ: C22:Q8/C23C22 ⊆ Aut C3248C3^2:15(C2^2:Q8)288,630
C32:16(C22:Q8) = C3xDic3.D4φ: C22:Q8/C22:C4C2 ⊆ Aut C3248C3^2:16(C2^2:Q8)288,649
C32:17(C22:Q8) = C62:6Q8φ: C22:Q8/C22:C4C2 ⊆ Aut C32144C3^2:17(C2^2:Q8)288,735
C32:18(C22:Q8) = C3xD6:Q8φ: C22:Q8/C4:C4C2 ⊆ Aut C3296C3^2:18(C2^2:Q8)288,667
C32:19(C22:Q8) = C3xC4.D12φ: C22:Q8/C4:C4C2 ⊆ Aut C3296C3^2:19(C2^2:Q8)288,668
C32:20(C22:Q8) = C62.240C23φ: C22:Q8/C4:C4C2 ⊆ Aut C32144C3^2:20(C2^2:Q8)288,753
C32:21(C22:Q8) = C12.31D12φ: C22:Q8/C4:C4C2 ⊆ Aut C32144C3^2:21(C2^2:Q8)288,754
C32:22(C22:Q8) = C3xC12.48D4φ: C22:Q8/C22xC4C2 ⊆ Aut C3248C3^2:22(C2^2:Q8)288,695
C32:23(C22:Q8) = C62:10Q8φ: C22:Q8/C22xC4C2 ⊆ Aut C32144C3^2:23(C2^2:Q8)288,781
C32:24(C22:Q8) = C3xD6:3Q8φ: C22:Q8/C2xQ8C2 ⊆ Aut C3296C3^2:24(C2^2:Q8)288,717
C32:25(C22:Q8) = C62.261C23φ: C22:Q8/C2xQ8C2 ⊆ Aut C32144C3^2:25(C2^2:Q8)288,803


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