Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C22 and Q=C15⋊7D4

Direct product G=N×Q with N=C22 and Q=C15⋊7D4
dρLabelID
C22×C15⋊7D4240C2^2xC15:7D4480,1179

Semidirect products G=N:Q with N=C22 and Q=C15⋊7D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C15⋊7D4) = C24⋊2D15φ: C15⋊7D4/C2×C10 → S3 ⊆ Aut C22606C2^2:(C15:7D4)480,1034
C22⋊2(C15⋊7D4) = Dic15⋊12D4φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C22240C2^2:2(C15:7D4)480,904
C22⋊3(C15⋊7D4) = D30⋊17D4φ: C15⋊7D4/D30 → C2 ⊆ Aut C22120C2^2:3(C15:7D4)480,902
C22⋊4(C15⋊7D4) = C24⋊5D15φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C22120C2^2:4(C15:7D4)480,918

Non-split extensions G=N.Q with N=C22 and Q=C15⋊7D4
extensionφ:Q→Aut NdρLabelID
C22.1(C15⋊7D4) = D4.8D30φ: C15⋊7D4/Dic15 → C2 ⊆ Aut C222404C2^2.1(C15:7D4)480,915
C22.2(C15⋊7D4) = C23.7D30φ: C15⋊7D4/D30 → C2 ⊆ Aut C221204C2^2.2(C15:7D4)480,194
C22.3(C15⋊7D4) = Q8⋊3Dic15φ: C15⋊7D4/D30 → C2 ⊆ Aut C221204C2^2.3(C15:7D4)480,197
C22.4(C15⋊7D4) = C23.22D30φ: C15⋊7D4/D30 → C2 ⊆ Aut C22240C2^2.4(C15:7D4)480,900
C22.5(C15⋊7D4) = D4⋊D30φ: C15⋊7D4/D30 → C2 ⊆ Aut C221204+C2^2.5(C15:7D4)480,914
C22.6(C15⋊7D4) = D4.9D30φ: C15⋊7D4/D30 → C2 ⊆ Aut C222404-C2^2.6(C15:7D4)480,916
C22.7(C15⋊7D4) = D60⋊7C4φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C221202C2^2.7(C15:7D4)480,165
C22.8(C15⋊7D4) = C23.6D30φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C221204C2^2.8(C15:7D4)480,166
C22.9(C15⋊7D4) = C23.28D30φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C22240C2^2.9(C15:7D4)480,894
C22.10(C15⋊7D4) = D4.D30φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C221204C2^2.10(C15:7D4)480,897
C22.11(C15⋊7D4) = Q8.11D30φ: C15⋊7D4/C2×C30 → C2 ⊆ Aut C222404C2^2.11(C15:7D4)480,907
C22.12(C15⋊7D4) = C60.1Q8central extension (φ=1)480C2^2.12(C15:7D4)480,167
C22.13(C15⋊7D4) = C60.2Q8central extension (φ=1)480C2^2.13(C15:7D4)480,168
C22.14(C15⋊7D4) = D60⋊9C4central extension (φ=1)240C2^2.14(C15:7D4)480,169
C22.15(C15⋊7D4) = Dic30⋊9C4central extension (φ=1)480C2^2.15(C15:7D4)480,170
C22.16(C15⋊7D4) = C30.29C42central extension (φ=1)480C2^2.16(C15:7D4)480,191
C22.17(C15⋊7D4) = D4⋊Dic15central extension (φ=1)240C2^2.17(C15:7D4)480,192
C22.18(C15⋊7D4) = Q8⋊2Dic15central extension (φ=1)480C2^2.18(C15:7D4)480,195
C22.19(C15⋊7D4) = C2×C30.4Q8central extension (φ=1)480C2^2.19(C15:7D4)480,888
C22.20(C15⋊7D4) = C2×D30⋊3C4central extension (φ=1)240C2^2.20(C15:7D4)480,892
C22.21(C15⋊7D4) = C2×D4⋊D15central extension (φ=1)240C2^2.21(C15:7D4)480,896
C22.22(C15⋊7D4) = C2×D4.D15central extension (φ=1)240C2^2.22(C15:7D4)480,898
C22.23(C15⋊7D4) = C2×Q8⋊2D15central extension (φ=1)240C2^2.23(C15:7D4)480,906
C22.24(C15⋊7D4) = C2×C15⋊7Q16central extension (φ=1)480C2^2.24(C15:7D4)480,908
C22.25(C15⋊7D4) = C2×C30.38D4central extension (φ=1)240C2^2.25(C15:7D4)480,917

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁