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

Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C9⋊C6

Direct product G=N×Q with N=C4 and Q=C2×C9⋊C6
dρLabelID
C2×C4×C9⋊C672C2xC4xC9:C6432,353

Semidirect products G=N:Q with N=C4 and Q=C2×C9⋊C6
extensionφ:Q→Aut NdρLabelID
C4⋊1(C2×C9⋊C6) = D4×C9⋊C6φ: C2×C9⋊C6/C9⋊C6 → C2 ⊆ Aut C43612+C4:1(C2xC9:C6)432,362
C4⋊2(C2×C9⋊C6) = C2×D36⋊C3φ: C2×C9⋊C6/C2×3- 1+2 → C2 ⊆ Aut C472C4:2(C2xC9:C6)432,354

Non-split extensions G=N.Q with N=C4 and Q=C2×C9⋊C6
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C9⋊C6) = Dic18⋊C6φ: C2×C9⋊C6/C9⋊C6 → C2 ⊆ Aut C47212-C4.1(C2xC9:C6)432,154
C4.2(C2×C9⋊C6) = D36⋊C6φ: C2×C9⋊C6/C9⋊C6 → C2 ⊆ Aut C47212+C4.2(C2xC9:C6)432,155
C4.3(C2×C9⋊C6) = Dic18.C6φ: C2×C9⋊C6/C9⋊C6 → C2 ⊆ Aut C414412-C4.3(C2xC9:C6)432,162
C4.4(C2×C9⋊C6) = D36.C6φ: C2×C9⋊C6/C9⋊C6 → C2 ⊆ Aut C47212+C4.4(C2xC9:C6)432,163
C4.5(C2×C9⋊C6) = Dic18⋊2C6φ: C2×C9⋊C6/C9⋊C6 → C2 ⊆ Aut C47212-C4.5(C2xC9:C6)432,363
C4.6(C2×C9⋊C6) = Q8×C9⋊C6φ: C2×C9⋊C6/C9⋊C6 → C2 ⊆ Aut C47212-C4.6(C2xC9:C6)432,370
C4.7(C2×C9⋊C6) = D36⋊3C6φ: C2×C9⋊C6/C9⋊C6 → C2 ⊆ Aut C47212+C4.7(C2xC9:C6)432,371
C4.8(C2×C9⋊C6) = C72.C6φ: C2×C9⋊C6/C2×3- 1+2 → C2 ⊆ Aut C41446-C4.8(C2xC9:C6)432,119
C4.9(C2×C9⋊C6) = C72⋊2C6φ: C2×C9⋊C6/C2×3- 1+2 → C2 ⊆ Aut C4726C4.9(C2xC9:C6)432,122
C4.10(C2×C9⋊C6) = D72⋊C3φ: C2×C9⋊C6/C2×3- 1+2 → C2 ⊆ Aut C4726+C4.10(C2xC9:C6)432,123
C4.11(C2×C9⋊C6) = C2×C36.C6φ: C2×C9⋊C6/C2×3- 1+2 → C2 ⊆ Aut C4144C4.11(C2xC9:C6)432,352
C4.12(C2×C9⋊C6) = C8×C9⋊C6central extension (φ=1)726C4.12(C2xC9:C6)432,120
C4.13(C2×C9⋊C6) = C72⋊C6central extension (φ=1)726C4.13(C2xC9:C6)432,121
C4.14(C2×C9⋊C6) = C2×C9⋊C24central extension (φ=1)144C4.14(C2xC9:C6)432,142
C4.15(C2×C9⋊C6) = C36.C12central extension (φ=1)726C4.15(C2xC9:C6)432,143
C4.16(C2×C9⋊C6) = D36⋊6C6central extension (φ=1)726C4.16(C2xC9:C6)432,355

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁