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

Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C56⋊C2

Direct product G=N×Q with N=C2 and Q=C2×C56⋊C2
dρLabelID
C22×C56⋊C2224C2^2xC56:C2448,1192


Non-split extensions G=N.Q with N=C2 and Q=C2×C56⋊C2
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C56⋊C2) = C4×C56⋊C2central extension (φ=1)224C2.1(C2xC56:C2)448,225
C2.2(C2×C56⋊C2) = C2×C28.44D4central extension (φ=1)448C2.2(C2xC56:C2)448,637
C2.3(C2×C56⋊C2) = C2×C8⋊Dic7central extension (φ=1)448C2.3(C2xC56:C2)448,638
C2.4(C2×C56⋊C2) = C2×C2.D56central extension (φ=1)224C2.4(C2xC56:C2)448,646
C2.5(C2×C56⋊C2) = C56⋊9Q8central stem extension (φ=1)448C2.5(C2xC56:C2)448,214
C2.6(C2×C56⋊C2) = C28.14Q16central stem extension (φ=1)448C2.6(C2xC56:C2)448,215
C2.7(C2×C56⋊C2) = C8⋊5D28central stem extension (φ=1)224C2.7(C2xC56:C2)448,227
C2.8(C2×C56⋊C2) = C4.5D56central stem extension (φ=1)224C2.8(C2xC56:C2)448,228
C2.9(C2×C56⋊C2) = C23.34D28central stem extension (φ=1)224C2.9(C2xC56:C2)448,255
C2.10(C2×C56⋊C2) = D28.31D4central stem extension (φ=1)112C2.10(C2xC56:C2)448,265
C2.11(C2×C56⋊C2) = C23.38D28central stem extension (φ=1)224C2.11(C2xC56:C2)448,269
C2.12(C2×C56⋊C2) = Dic14⋊14D4central stem extension (φ=1)224C2.12(C2xC56:C2)448,272
C2.13(C2×C56⋊C2) = C28⋊SD16central stem extension (φ=1)224C2.13(C2xC56:C2)448,375
C2.14(C2×C56⋊C2) = D28⋊3Q8central stem extension (φ=1)224C2.14(C2xC56:C2)448,376
C2.15(C2×C56⋊C2) = Dic14⋊8D4central stem extension (φ=1)224C2.15(C2xC56:C2)448,382
C2.16(C2×C56⋊C2) = Dic14⋊4Q8central stem extension (φ=1)448C2.16(C2xC56:C2)448,385
C2.17(C2×C56⋊C2) = C56⋊30D4central stem extension (φ=1)224C2.17(C2xC56:C2)448,648

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁