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

Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C3⋊C8

Direct product G=N×Q with N=C22 and Q=C2×C3⋊C8
dρLabelID
C23×C3⋊C8192C2^3xC3:C8192,1339

Semidirect products G=N:Q with N=C22 and Q=C2×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C22⋊(C2×C3⋊C8) = C2×A4⋊C8φ: C2×C3⋊C8/C2×C4 → S3 ⊆ Aut C2248C2^2:(C2xC3:C8)192,967
C22⋊2(C2×C3⋊C8) = D4×C3⋊C8φ: C2×C3⋊C8/C3⋊C8 → C2 ⊆ Aut C2296C2^2:2(C2xC3:C8)192,569
C22⋊3(C2×C3⋊C8) = C2×C12.55D4φ: C2×C3⋊C8/C2×C12 → C2 ⊆ Aut C2296C2^2:3(C2xC3:C8)192,765

Non-split extensions G=N.Q with N=C22 and Q=C2×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C3⋊C8) = C24.78C23φ: C2×C3⋊C8/C3⋊C8 → C2 ⊆ Aut C22964C2^2.1(C2xC3:C8)192,699
C22.2(C2×C3⋊C8) = C24.3Dic3φ: C2×C3⋊C8/C2×C12 → C2 ⊆ Aut C2248C2^2.2(C2xC3:C8)192,84
C22.3(C2×C3⋊C8) = (C2×C12)⋊C8φ: C2×C3⋊C8/C2×C12 → C2 ⊆ Aut C2296C2^2.3(C2xC3:C8)192,87
C22.4(C2×C3⋊C8) = C24.D4φ: C2×C3⋊C8/C2×C12 → C2 ⊆ Aut C22484C2^2.4(C2xC3:C8)192,112
C22.5(C2×C3⋊C8) = C42.285D6φ: C2×C3⋊C8/C2×C12 → C2 ⊆ Aut C2296C2^2.5(C2xC3:C8)192,484
C22.6(C2×C3⋊C8) = C2×C12.C8φ: C2×C3⋊C8/C2×C12 → C2 ⊆ Aut C2296C2^2.6(C2xC3:C8)192,656
C22.7(C2×C3⋊C8) = C4×C3⋊C16central extension (φ=1)192C2^2.7(C2xC3:C8)192,19
C22.8(C2×C3⋊C8) = C24.C8central extension (φ=1)192C2^2.8(C2xC3:C8)192,20
C22.9(C2×C3⋊C8) = C12⋊C16central extension (φ=1)192C2^2.9(C2xC3:C8)192,21
C22.10(C2×C3⋊C8) = (C2×C12)⋊3C8central extension (φ=1)192C2^2.10(C2xC3:C8)192,83
C22.11(C2×C3⋊C8) = C24.98D4central extension (φ=1)96C2^2.11(C2xC3:C8)192,108
C22.12(C2×C3⋊C8) = C2×C4×C3⋊C8central extension (φ=1)192C2^2.12(C2xC3:C8)192,479
C22.13(C2×C3⋊C8) = C2×C12⋊C8central extension (φ=1)192C2^2.13(C2xC3:C8)192,482
C22.14(C2×C3⋊C8) = C22×C3⋊C16central extension (φ=1)192C2^2.14(C2xC3:C8)192,655

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁