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Extensions 1→N→G→Q→1 with N=C4 and Q=C3×C3⋊D4

Direct product G=N×Q with N=C4 and Q=C3×C3⋊D4
dρLabelID
C12×C3⋊D448C12xC3:D4288,699

Semidirect products G=N:Q with N=C4 and Q=C3×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C3×C3⋊D4) = C3×C12⋊3D4φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C448C4:1(C3xC3:D4)288,711
C4⋊2(C3×C3⋊D4) = C3×D6⋊3D4φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C448C4:2(C3xC3:D4)288,709
C4⋊3(C3×C3⋊D4) = C3×C12⋊7D4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C448C4:3(C3xC3:D4)288,701

Non-split extensions G=N.Q with N=C4 and Q=C3×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C4.1(C3×C3⋊D4) = C3×C3⋊D16φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C4484C4.1(C3xC3:D4)288,260
C4.2(C3×C3⋊D4) = C3×D8.S3φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C4484C4.2(C3xC3:D4)288,261
C4.3(C3×C3⋊D4) = C3×C8.6D6φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C4964C4.3(C3xC3:D4)288,262
C4.4(C3×C3⋊D4) = C3×C3⋊Q32φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C4964C4.4(C3xC3:D4)288,263
C4.5(C3×C3⋊D4) = C6×D4⋊S3φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C448C4.5(C3xC3:D4)288,702
C4.6(C3×C3⋊D4) = C6×D4.S3φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C448C4.6(C3xC3:D4)288,704
C4.7(C3×C3⋊D4) = C3×C23.12D6φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C448C4.7(C3xC3:D4)288,707
C4.8(C3×C3⋊D4) = C6×Q8⋊2S3φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C496C4.8(C3xC3:D4)288,712
C4.9(C3×C3⋊D4) = C6×C3⋊Q16φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C496C4.9(C3xC3:D4)288,714
C4.10(C3×C3⋊D4) = C3×Dic3⋊Q8φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C496C4.10(C3xC3:D4)288,715
C4.11(C3×C3⋊D4) = C3×C12.23D4φ: C3×C3⋊D4/C3×Dic3 → C2 ⊆ Aut C496C4.11(C3xC3:D4)288,718
C4.12(C3×C3⋊D4) = C3×D4⋊Dic3φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C448C4.12(C3xC3:D4)288,266
C4.13(C3×C3⋊D4) = C3×C12.D4φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C4244C4.13(C3xC3:D4)288,267
C4.14(C3×C3⋊D4) = C3×Q8⋊2Dic3φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C496C4.14(C3xC3:D4)288,269
C4.15(C3×C3⋊D4) = C3×C12.10D4φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C4484C4.15(C3xC3:D4)288,270
C4.16(C3×C3⋊D4) = C3×D12⋊6C22φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C4244C4.16(C3xC3:D4)288,703
C4.17(C3×C3⋊D4) = C3×Q8.11D6φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C4484C4.17(C3xC3:D4)288,713
C4.18(C3×C3⋊D4) = C3×D6⋊3Q8φ: C3×C3⋊D4/S3×C6 → C2 ⊆ Aut C496C4.18(C3xC3:D4)288,717
C4.19(C3×C3⋊D4) = C3×C2.Dic12φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C496C4.19(C3xC3:D4)288,250
C4.20(C3×C3⋊D4) = C3×C2.D24φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C496C4.20(C3xC3:D4)288,255
C4.21(C3×C3⋊D4) = C3×C12.46D4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C4484C4.21(C3xC3:D4)288,257
C4.22(C3×C3⋊D4) = C3×C12.47D4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C4484C4.22(C3xC3:D4)288,258
C4.23(C3×C3⋊D4) = C3×C12.48D4φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C448C4.23(C3xC3:D4)288,695
C4.24(C3×C3⋊D4) = C3×D4⋊D6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C4484C4.24(C3xC3:D4)288,720
C4.25(C3×C3⋊D4) = C3×Q8.14D6φ: C3×C3⋊D4/C62 → C2 ⊆ Aut C4484C4.25(C3xC3:D4)288,722
C4.26(C3×C3⋊D4) = C3×Dic3⋊C8central extension (φ=1)96C4.26(C3xC3:D4)288,248
C4.27(C3×C3⋊D4) = C3×D6⋊C8central extension (φ=1)96C4.27(C3xC3:D4)288,254
C4.28(C3×C3⋊D4) = C3×C12.53D4central extension (φ=1)484C4.28(C3xC3:D4)288,256
C4.29(C3×C3⋊D4) = C3×D12⋊C4central extension (φ=1)484C4.29(C3xC3:D4)288,259
C4.30(C3×C3⋊D4) = C3×C12.55D4central extension (φ=1)48C4.30(C3xC3:D4)288,264
C4.31(C3×C3⋊D4) = C3×Q8⋊3Dic3central extension (φ=1)484C4.31(C3xC3:D4)288,271
C4.32(C3×C3⋊D4) = C3×Q8.13D6central extension (φ=1)484C4.32(C3xC3:D4)288,721

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